diff --git "a/data/dm_maths/full_data_1/1565_11255.jsonl" "b/data/dm_maths/full_data_1/1565_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1565_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the third derivative of 8237316*q**6 - q**2 + q - 5877318.\nAnswer: 988477920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49511, 395991, 1336433, 3167819, 6187131, 10691351?\nAnswer: 16977461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 4*w - 3 + 1 + 2. Calculate n(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25582 and 127910?\nAnswer: 127910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -239 (b) -26.82 (c) -4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7*v**2 - 60*v - 17. Let b be f(-8). Suppose 10*n = b*n - 2730. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.1 (b) -8 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zffzzvvvz. What is prob of picking 2 z, 1 f, and 1 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3419\/4 - (170\/(-40) + 4).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 4:19 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/(-5) + 3\/(-1). Let f = 11 - t. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*(n**12*n)\/n)\/n)\/n**(-15))\/(n*n**(2\/3)*n*n*n**11))**(-50) assuming n is positive.\nAnswer: n**(-1850\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**6\/60 - 17*z**5\/60 - 7*z**4\/6 - 10*z**2 - 1. Find the second derivative of i(p) wrt p.\nAnswer: 12*p - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2 + 160*q + 35442 = 0. What is q?\nAnswer: -99, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 20*w. Let k be t(2). Let r be (3*(-15)\/9 + 4)*-5. Suppose -r = -5*v - 0, 175 = 3*y - 5*v. Calculate the greatest common factor of y and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 3*n**5\/70 - n**4\/42 - 16*n**3\/7 + 16*n**2\/7 + 1251*n. Factor c(o).\nAnswer: 2*(o - 4)*(o + 4)*(3*o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-93*n + 25*n - 37*n)*(-n**2 - n**2 + 4*n**2) + n**3 + 3*n**3 - 2*n**3 in the form l + g*n**2 + o*n**3 + s*n and give o.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*g*k**2 - 10*a**3*g*k - 16816*a**3 - 1764*a*g*k**2 + 2*g*k wrt k.\nAnswer: 2*a**3*g - 3528*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -185 and -183 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 879879 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.292324 times -1.93\nAnswer: -0.56418532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142 and 4854838?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 7*h**2 + 3. Let f be n(7). Suppose 0 = -f*j + 4*d + 2 + 8, 4*j - d - 9 = 0. Which is the smallest value? (a) -0.4 (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 927397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -8 + -6 + (75 - 95).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 1090 = 112*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 d when three letters picked without replacement from {d: 17, g: 2}.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -42. Factor -3\/2*n - 3\/2*n**2 + f.\nAnswer: -3*(n - 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.1 + -11. Let h = 0.3 + -0.3. Which is the second biggest value? (a) 1 (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -355 in ascending order.\nAnswer: -355, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.750073 rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*p**2 + 5 + 29*p - 9*p - 19*p - 2*p**3 to the form r + u*p**3 + l*p + v*p**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(3 - (-21)\/(-6)). Let f = -6 - n. Let c(p) = p**3 + 6*p**2 + p + 1. Calculate the remainder when 40 is divided by c(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 27 - 384*t + 382*t to the form o*t + m and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 3554.66 + -3730. Round y to the nearest integer.\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 118.56419.\nAnswer: 118.26419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 33*y + 5. Let i(t) = -2*t**2. Determine i(v(h)).\nAnswer: -2178*h**2 - 660*h - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1743 - 1927 = 3*i - 2*l, 5*l + 1195 = -i. Round i to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 25258 = -1551*d - 7318, -4*d - 5*q - 59 = 0 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/37447968 and 97\/17163652.\nAnswer: 411927648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485980.\nAnswer: 2, 5, 191, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1229 - -1298. Solve 0 = -3*l + 2*n + 5, -y*l + 3*n + 10 = -67*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p**2 - 6111 + 7*p**2 + 6143 + 2*p - 79*p**3 to the form g + x*p**3 + j*p**2 + b*p and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2716 + 206?\nAnswer: -2510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1214 + 3589\/3. Suppose 0 = -6*m + 20*m - 42. What is the common denominator of 68\/(-14)*m\/30*-5 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/21 - 177\/(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuuccuc. What is prob of sequence cccc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14576 - 14579. Let x(u) = -3*u**2 + 4*u + 22. Determine x(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + 5*-4*(sqrt(500) - (sqrt(500) - (sqrt(500) + -1))).\nAnswer: -200*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 4*h - 7 = -16, -3*v + 3*h = 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzvz when four letters picked without replacement from zzzvv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25)\/5 + (-56 - 0). Let l be ((-60)\/(-8) - -2)\/(1\/(-4)). Let m = l - x. Solve 3*d + 9 = 0, -f + m = -3*f - 5*d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.654 - 0.034. Let r = 172.67 - 172. Let m = k + r. Round m to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 183, 772, 1753, 3126, 4891?\n\"Answer: 196*u**2 + u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 180, -118, 0 in descending order.\nAnswer: 180, 0, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**4)\/n**(-2\/9)*n**7\/n*n**(-2\/3)\/n*n*n assuming n is positive.\nAnswer: n**(104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 308.66 + -309.66. What is the biggest value in d, -0.2, 0.31, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p + 3. Let y(u) = 15*u - 12. Let l(c) = -9*g(c) - 2*y(c). Let b(d) = 3*d - 2. What is -5*b(f) + 3*l(f)?\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -12721?\nAnswer: -12721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 949433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d + 11. Let p be i(-10). Calculate the common denominator of -35\/11 and (p\/8)\/((-1)\/(-4)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqdqqgdgd. Give prob of picking 2 d.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.12 + -0.12. Let u = -469 - -190. Let c = 282 + u. What is the nearest to 0 in v, -2\/9, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -49*f - 554. Let i(s) = 62*s + 555. Determine -4*i(o) - 5*n(o).\nAnswer: -3*o + 550","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let y(s) = -s. Let i be (-4)\/18 + 160\/(-90). Let u(z) = i*y(z) - 3*l(z). Let v(c) = -12*c**2. What is u(v(d))?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -64, -69, -78, -91, -108?\n\"Answer: -2*x**2 + x - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 12*v**3 + 2*v**2 + 4 as a*v**2 + w + z*v**3 + g*v and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033 minus 23106796?\nAnswer: -23106796.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(117) + 0 + sqrt(117) + (sqrt(117)*-2 + sqrt(117))**2 + -2)*4.\nAnswer: 36*sqrt(13) + 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-737.\nAnswer: -147.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, v: 2, h: 8, e: 1, n: 1}. What is prob of sequence hmn?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*n - 5*r + 2, r - 15 = -2*n. Put -5, n, 74, -2 in descending order.\nAnswer: 74, n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(2 + sqrt(13)) + (sqrt(13) - (4 + sqrt(104)\/sqrt(8))))**2*3.\nAnswer: -3126 - 840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -25. Calculate the remainder when (-230)\/(-6) + (-2)\/(-3) is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*l - 1 = -0*y, y - 2 = -4*l. Let v be (-9)\/y*(-22)\/3. Suppose v - 3 = 2*p. Solve 0 = -p*o + 9 + 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01693237729 to 6 dps.\nAnswer: 0.016932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3966 and -14?\nAnswer: -55524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -34*k + 39. Let v(d) = 16*d - 20. Let y(h) = 6*q(h) + 13*v(h). Calculate y(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvbn when four letters picked without replacement from {n: 1, v: 1, l: 3, z: 5, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 24*s**2 + 9*s - 26. Let q be h(-24). Let n = q + 454. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.96 - -1.116492\nAnswer: 2.076492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/6, 2\/17, 1, 56, -0.3, 0.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 39.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15881 divided by -15881?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 - -1.73. What is x rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 14*d**2 - 15*d - 18. Let c(a) = a**2 + a + 1. Let b be c(3). Suppose -3*r - b = -2*r. Calculate the least common multiple of y(r) and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5 = 3*l, s = -3*l + 25. What are the prime factors of 226\/s + (-4)\/(-10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-2)\/(-1) + 1. Let x(n) = n**2 - 2 - 5 + t*n + 2*n. Calculate the remainder when 25 is divided by x(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u - 7*u)*(-3*u - 3*u + 7*u) - 15*u**2 + 15*u**2 + 15*u**2.\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 314?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + -61.4. Put 0.2, 2\/11, a, 1 in descending order.\nAnswer: 1, 0.2, 2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*m + m - 2912. Suppose -2*u + m - 98 = 0. Factor -3\/5*i**u + 0*i + 0 + 0*i**2 + 3\/5*i**4.\nAnswer: 3*i**3*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l - 169. Give z(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -3 - (6 - -1) - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -986 + 1029.3. Let h = 0.7 + t. Let o = h + -42.9. Are 0 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-704)\/20)\/(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 895999, 1792008, 2688017, 3584026, 4480035?\nAnswer: 5376044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233424740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-13 - -15) - 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30396639 divided by -22701?\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from ezccmzmbzcezzz?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.4 - -15.2. Let i = -1257 + 1257. Which is the nearest to v? (a) 0.5 (b) -29 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (-23 - -68 - 18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*u + 6*u**3 - 61*u + (-u**2 - 2*u**2 + 4*u**2)*(-2*u + u + 0*u) + 0*u**2 + 0*u**2 + 2*u**3 - 5*u**3 + 13*u**3 + 6*u**3.\nAnswer: 21*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l - 142. Let r(c) = 37*c - 710. Let q(z) = 2*r(z) - 11*y(z). Let d be q(10). Calculate the highest common divisor of d and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/3))**(-2\/81) assuming o is positive.\nAnswer: o**(-2\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 262475699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 104067877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 7*v**2 - 7. Suppose q - 36 = 3*c - 11, 5*q = -25. Let m = c + 8. Let k(n) = n**2 - 1. Give m*t(s) + 14*k(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 214*v = 1624 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c - 216 = 4*w, -3*w = 4*c - 377. Suppose 0 = -c*h + 96*h + 770. List the prime factors of h.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/((((g\/((g\/((g*g**(-1\/12))\/g))\/g)*g)\/g)\/g*g*g)\/g)*g))\/g)**36*g*g\/(g*g**16)*g**25 assuming g is positive.\nAnswer: g**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 833009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c + 14. Let p(q) = q + 16. Let k be (-20)\/(-70) - 298\/14. Let w be p(k). Let a be n(w). Is -0.07 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*(-20)\/(-4)*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1*(-2*sqrt(2) + -2) + sqrt(32)*-5 + 0)*-2*6*3)**2.\nAnswer: -233280*sqrt(2) + 872208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15*-31\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k + 15*k**2 - 21 + 4*k + 3*k**3 - 6 - 3*k.\nAnswer: 3*(k - 1)*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-2))\/1*(-8)\/20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**29*k)**(-29)*(k\/((k**(-1\/20)*k)\/k*k))\/k*k**(2\/55) assuming k is positive.\nAnswer: k**(-204361\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*c - 12. Let y be (-2)\/12*c*124. Let h = y - 37. Solve -4*j + 8 = 5*x - h, -2*x - 5*j = -20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 14*d - 9. Let o be f(17). Differentiate -385 + 639 - o + y wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 49. Let p be 78\/a*-2 + (7 - 8). Let j = -36 - p. Calculate the remainder when 14 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, g: 6, p: 1, a: 4}. Give prob of picking 1 p and 3 l.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 17 = -v, 4*a + 19 + 1 = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3 - 1 - 13*y + 5*y + 11*y + 3*y**2. Determine m(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*g - 10*g - 8*g**2 - 6*g**4 + 23*g wrt g.\nAnswer: -144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77618, 77619, 77620, 77621, 77622, 77623?\nAnswer: 77624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -117*y + 48*y + 50*y + 6350389. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from sdcc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 6:05 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -390085, -390080, -390073, -390064, -390053, -390040, -390025?\nAnswer: -390008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3)*(-9)\/(-6). Suppose 0*j + j = -i*d - 22, -46 = 4*d + 3*j. Let x = 14 - d. What is the greatest common divisor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620*z + 616*z + 36 = 4*d, -30 = -2*z + 4*d for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 55866.4202 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159 + 1988. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6584 = 35*t + 10249 - 6045 for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 147 = -43. Calculate the greatest common factor of a and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -i, 16 = u - 5*u - 2*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**5\/30 - b**4\/24 - b**3\/3 - 13*b**2\/2 + 10*b. Let v(y) be the first derivative of o(y). Give v(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37322*-8102.\nAnswer: 302382844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5793 (base 16) in base 4?\nAnswer: -11132103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 778163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, w: 4, g: 2, c: 4}. What is prob of sequence wg?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6606*k = 6612*k + 48. Suppose -2*g + 1 - 3 = 0. Let d = g + -3. Put k, 4, d in ascending order.\nAnswer: k, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3 - i + 0*i + 3. Let u be (15\/(-5))\/1 + 0\/1. Let m(x) = 3*x**2 - x - 2. Calculate u*v(r) + m(r).\nAnswer: 3*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(2*sqrt(8)*-3 - sqrt(8)) - (sqrt(275) + -5 + 3 + sqrt(11) + sqrt(44)\/sqrt(4) + sqrt(11)))**2 + 1.\nAnswer: -228*sqrt(11)\/7 + 35984\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -1\/20*l**5 + 5\/6*l**4 - 87*l - 1\/3*l**3 + 15\/2*l**2 + 0. Calculate q(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-2))\/((-1)\/6). Let s be -1 - -2 - (-2 - d). Suppose s = -2*a + 8, 2*q - 2*a = q - 3. What is the third biggest value in -3\/8, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 3:10 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -y - 0 - 12, -3*b = -5*y + 6. Let o = 2 + -1. Suppose -o = y*n - 10. Solve -2*k = n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5464983.\nAnswer: 3, 79, 23059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13500, -13483, -13474, -13479, -13504, -13555, -13638?\n\"Answer: -v**3 + 2*v**2 + 18*v - 13519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -66 - -2?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeenj. Give prob of picking 1 j and 3 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 14*i**2 + 5*i**3 - 3*i**3 - 17 - 3*i + i**3. Suppose 5*a - 6*a = -27. Suppose -2*z - a = 7. Let l(b) = b**3 + 5*b**2 - b - 6. Give z*l(o) + 6*m(o).\nAnswer: o**3 - o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1465475603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66554 is divided by 6050.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -852 = -2*k + 2056. Suppose 0 = -3*n + k - 1031. Are n and 140 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.57 - -0.343. Let b = -99.773 + t. Let g = b + 100.000000041. Round g to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 455*v**3 + 3*v**2 - 4*v + 1. Let u(y) = y - 15. Let s be u(16). Is 57 a factor of o(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z = 0. Suppose -k + z*k + 20 = 0. Solve -43*o + k*o + 20*o + o**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -1331003?\nAnswer: 1331020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**4\/12 + 2*b**2 - 10. Let y(h) = -50*h**2 - 11*h**2 + 19*h**2. Determine g(y(l)).\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.77 - 0.8. Let p = j + 0.53. What is the nearest to 1 in p, -1\/4, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = -0. Let p = t + 6. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6971919?\nAnswer: 3, 29, 127, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.73678438475 less than -24?\nAnswer: -211.73678438475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1, 8977\/5, -0.2, 5 in decreasing order.\nAnswer: 8977\/5, 5, 3, -0.2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.38 * 0.02\nAnswer: 0.0476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, 1\/7, 32, 4, 12?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hobiooimiibhizi. What is prob of sequence omhi?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - n + 35 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssiisnsnnisisisnnnn. What is prob of sequence iins?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961123 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.002 - 8.612. Let n = o + 8.51. Which is the nearest to n? (a) 37 (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -201 - -197. Which is the fourth biggest value? (a) 0.4 (b) o (c) 2 (d) 9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 1. Let g(o) = -4*o - 2. Let a(m) = -g(m) + 2*w(m). Let n(x) = x. Determine a(n(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -o + 3*y - 31, -4*o = -y + 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 16 = -6*l. Let u be 2\/4 - (-20)\/l. Suppose 5*t - 11 = 14. Solve -2 = -c + n, -2*n - u*n - t = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwkkkwwkkkwwkjwwkkk. Give prob of picking 1 k and 1 j.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832)*-2 + sqrt(832) + sqrt(832))*1 + sqrt(832) + -5 + sqrt(832)*2 + sqrt(832) + sqrt(832) - ((sqrt(325) + 0)*1 - (-4 + sqrt(325)*-1)))**2 + -4.\nAnswer: -540*sqrt(13) + 11777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 90 = 4*c - 6*b, 3 = 3*b. Suppose -u + c = -45. Suppose -4*t = -4*y - u, 0 = 4*t + 3*y - 45 - 44. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 43 - 3 = 0. What is the least common multiple of m and (-58)\/2*(-6)\/6?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -32, 92 in ascending order.\nAnswer: -32, 2, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 1561481439?\nAnswer: 1561481439.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18284, 18293, 18302, 18311?\nAnswer: 18320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*q**3 - 33*q**3 + 21*q**3)*(1 + 1 + 0) + (13 + 2 + 1)*(-2 - 7 + 1)*(4 - 6*q**3 - 4) to c*q**2 + u*q**3 + o + m*q and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 432 = 938. Let y = f + 139. What is the least common multiple of 11 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1797 + 1758 - 3583)*(0 + 0 - q) + 3*q + 3*q - 4*q + (0*q + 0*q + 2*q)*(-2 - 4 + 2) - q - 3 + 3 to the form u + w*q and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73.6 and 279.6?\nAnswer: 20578.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-2))\/(2\/90). Let g = -14 + a. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 41. Let d(z) = 49*z + 16. Let r be d(k). Let v = 6019\/10 - r. Calculate the common denominator of 57\/10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/8360 and 61\/71080.\nAnswer: 14855720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -262?\nAnswer: -15\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17)\/(-2*(15\/(-6) - -2)). Which is smaller: f or -14?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 12*r**2 + 10*r + 3. Let h be n(11). Let c be 1\/5 - h\/(-40). Suppose -p + 13 = -4*p - 5*q, -4*p + 2*q = c. Put 2, -2, p in ascending order.\nAnswer: -2, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 5 + 5 = 16*o. Solve -2*r - 4*d + 1060 - 1080 = o, -6 = -r + 2*d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282980 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -3. Let s(b) = 2*b + 0*b - 3*b**2 - 4 - h. Let x(k) = k**2 - k + 2. Calculate -3*s(g) - 8*x(g).\nAnswer: g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/4)\/(n*n\/n**(-1\/14)))\/(n\/(n*n\/(n\/n**(10\/9)))*n*n*n**(-2\/19)) assuming n is positive.\nAnswer: n**(-7685\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 305478 - 305478 + 6*t. Let s(i) = -2*i**2 - 23*i. Determine s(v(q)).\nAnswer: -72*q**2 - 138*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.63773 and 93060.\nAnswer: 93060.63773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13ad1 + -6c?\nAnswer: 13a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/291456 and 133\/4752.\nAnswer: 874368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.3. Let h = p - -0.1. Let t = -6732 - -6737. Which is the second smallest value? (a) t (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -207*g - 49*g**2 - 218*g**2 + 260*g**2 in the form n*g + y + f*g**2 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*f - 6991, -5*f - 1585 + 191 = -r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 445 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/1648021 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 2 + 2)*(3166 + 554 + 991) + 3*m + 5*m - 6*m to the form r + p*m and give p.\nAnswer: -4709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/6 + 104*g + 1. Let o(z) = 369*z**2. Determine o(p(n)).\nAnswer: 1476*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-5)*(5 - (-1220)\/(-88)) and -79\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 1011. Let k(f) = -30*f. Calculate k(o(h)).\nAnswer: -30*h**2 - 30330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72\/5 + 26\/5*r + 2\/5*r**2 = 0 for r.\nAnswer: -9, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 37*s = 367926 - 368125, 5*x + 2*s - 25 = 4*s for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -0.2, 4 in descending order.\nAnswer: 8, 4, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {l: 3, q: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 715125172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -5*t**2\/2 - 68. Let c(l) = l + 1. Let m(p) = -p - 3. Let g(u) = 3*c(u) + m(u). Calculate g(i(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 35 (b) -20 (c) 2\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2*((sqrt(396) + 2 + 0 + sqrt(396) + (2*sqrt(396) + -4 - sqrt(396)))*2 + -5))**2)*3.\nAnswer: -7776*sqrt(11) + 172047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17831846 is divided by 8915911?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*t - 2046 = -y, 3*y - 6158 = -5*t. What are the prime factors of y?\nAnswer: 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/47440 and -27\/196876?\nAnswer: 3937520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 12*h**3 - 36*h**2 - 32*h.\nAnswer: -h*(h + 2)**2*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 0*y + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2 - 3) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, s: 5, j: 2}. Give prob of picking 1 j, 2 s, and 1 t.\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2) + 5 + sqrt(5))*-4*-4.\nAnswer: 32*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 17 - 23 = l, 0 = i + 3*l + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42830 - -76006. What are the prime factors of b?\nAnswer: 2, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -20. Let x = -1.13 + -5.07. Which is the nearest to m? (a) x (b) -1\/8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + 2*sqrt(1911) - sqrt(39))\/(sqrt(108) - -2*sqrt(108) - sqrt(108)).\nAnswer: 7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 36459 and 237.\nAnswer: 36696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4960 is divided by 332.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 1 - 1)*(460 - 10 - 35)*(4*n + 2*n - 4*n)*(1 + 2 + 2) in the form f*n + u + b*n**2 and give b.\nAnswer: -4150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1293368.\nAnswer: 2, 19, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 17052496.\nAnswer: -68209984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -683, -2845, -6527, -11729, -18451, -26693?\nAnswer: -36455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + (-78 - (-61 + -66)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11924269141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 + 11 = -11*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765221 is divided by 50.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*((-4)\/38 + (-12815)\/4427). Let q(c) = -c - 2. Let m be q(-3). Solve m = -2*a + j*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 108*d - 92*d - 19*d. Let k(a) = -125*a. What is k(m(f))?\nAnswer: 375*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1024)\/(-48))\/16*(-42)\/4\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336216268.\nAnswer: 2, 1979, 42473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-8) + 1 + (-3597)\/(-872)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21491272 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 791973 plus 18434?\nAnswer: 810407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - 31*i**3 - i + 29*i**3 - 2*i**2 to the form j*i**3 + n*i**2 + a*i + d and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1390)\/417*(-18)\/(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 4*b = -12, 22 = 2*h - 7*h - b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1192+-0.148\nAnswer: 1191.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-768)\/960*14\/(-8)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w - o = -16, 2*w + 6 = -4*o. Suppose -60 = -w*u + u. Let k = -16 + u. Sort k, 4, 6.\nAnswer: k, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 13*k - 15*k. Let b be 4 - (3 - k\/3). Suppose 0*z + 2*l = z - 19, b*z = -5*l + 24. What is the remainder when z is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -0.077345596485\nAnswer: 0.922654403515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 - 4*w. Suppose -5*v - s = -3*s - 27, v = -3*s + 2. Let l(r) = v*r**2 + 0*r**2 + 17*r + 4*r**2. Give 26*k(t) + 6*l(t).\nAnswer: 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.118 to 0 decimal places.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 6*n**2. Let v be q(-6). Is 69 + v + 1 + -5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 3)*3*1. Let l(w) = o*w**2 - 33*w**3 - 9*w**2 + w + 1. Let g be l(-1). Solve -4*t + 13 = g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32967 is divided by 10723?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4705, -8541, -12363, -16171, -19965, -23745?\nAnswer: -27511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 4)\/4*-2. Let l = 81 - 81. Let m(h) = -9*h - 1. Let i be m(l). Sort n, i, 5 in increasing order.\nAnswer: i, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i - 12. Calculate the remainder when 32 is divided by b(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 330 - -1?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 70*y - 2. Let c(i) = 47*i - 1. Determine -5*b(w) + 8*c(w).\nAnswer: 26*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*r**2 + 9*r**2 + 29*r**2 - 3*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xunov. What is prob of picking 1 n and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2*u**2 - 1)*(3*u + 2*u - 7*u).\nAnswer: -4*u**3 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2. Let q(a) = -13*a + 3 - 2 + 14*a. Let t(w) = 2*w + 1. Let j(b) = -q(b) + t(b). Determine j(u(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 966 - -609?\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -58. Let a be b + (77\/42)\/((-1)\/(-6)). Suppose -a*w = -11*w + 10. Solve w*h = 13 - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 s, and 1 i when three letters picked without replacement from {i: 2, c: 5, s: 1, a: 1, y: 3, d: 1}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 629392303?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 10326*c**2 + 0 + 1 + 3 + 20188*c**2 - 10354*c**2.\nAnswer: -492*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 80367?\nAnswer: 321468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 1098\/53?\nAnswer: 1098\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218, 858, 1916, 3392, 5286, 7598, 10328?\nAnswer: 13476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54618 + 68874 = 216*q for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 1 + 1. Let v(r) = 29*r. Let z(u) = -18*u. Let d(h) = 5*v(h) + 8*z(h). What is c(d(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 8*m**2. Let c be z(-8). Let g(r) = 4*r + 1. Let p be g(1). Suppose -v + p + 2 = 0. Solve 5*l + v = -3*h - c*h, 4*l + 8 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 134 + -132. Find the second derivative of -5*h + 1 + 20*h**2 - 42*h**2 - 43*h**z - 43*h**2 wrt h.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i - 2. Let r be x(4). Let w = r - 8. Suppose -4*h + 145 - 49 = 0. Calculate the greatest common divisor of w and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 0 + 4*q + 0*q**5 + 0*q**2 + 1\/3*q**4 + 0*q**3 - 1\/21*q**7 + 0*q**6. What is the third derivative of o(t) wrt t?\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and ((-58)\/(-783) - 573\/81) + 155.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63160 and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1573)*-1*5)**2 - (sqrt(1573) + (sqrt(1573)*3 - sqrt(1573)) + -5)**2)*4*6 + 4.\nAnswer: 7920*sqrt(13) + 603436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9054 divided by 6\nAnswer: -1509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3397?\nAnswer: 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = 4*w - 10, 0 = -5*w + 4*u + 8. Let d be (w\/3)\/((-6)\/(-9)). Let k be (-1 + d)\/((-2)\/(-4)). Solve k*j - 3 = 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57903 * -0.3.\nAnswer: 17370.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005311 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4474, -17922, -40320, -71638, -111846, -160914?\n\"Answer: 5*l**3 - 4505*l**2 + 32*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*r + 5*d - 34, -20 = -4*r + 2*d. Let w(i) = -7*i**2 + 4*i + 6. Let l(a) = 15*a**2 - 8*a - 12. Let y(b) = -6*l(b) - 13*w(b). Is 3 a factor of y(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 6)*(480*c**2 + 36*c**2 - 72*c**2).\nAnswer: 1332*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 474*v + 1556*v - 9495*v - 3116*v as r + p*v and give p.\nAnswer: -10581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*g + 3934 = 39*g + 31*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 19 - (-21 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(304) + 3 + -3 + -3)**2.\nAnswer: -40*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h**2 + 5*h + 2. Suppose 2*v = -4 - 6, o + v + 1 = 0. Let p = -8 + 10. Let k(l) = -3 + 0 + p + 11*l + 6 - 13*l**2. Give o*k(f) - 9*w(f).\nAnswer: 2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -15*t**4\/4 - t**3\/3 - 10*t**2 + 4321*t - 6662. Differentiate p(d) wrt d.\nAnswer: -45*d**2 - 2*d - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 10:01 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15014 is divided by 938.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 59*s**2 - 4*s - 11. Let j be n(5). Let u = j + -857. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g - 32. Let l be b(-5). Factor r**l - r**2 + 0 + 1\/3*r - 1\/3*r**4.\nAnswer: -r*(r - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 8*i - 3. Let v be o(6). Find the first derivative of -8*w**2 + 2 - v + 0 wrt w.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 76 = -5*k + 32, 5*k + 28*m = 25*m - 81 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26a1 (base 15) to base 5.\nAnswer: 231001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0.5. Which is the third smallest value? (a) l (b) 0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698*d = o + 702*d - 111, 0 = 2*o + 4*d - 114 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n + 6. Let i be (n - 0) + 3 + -6. Is i > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 5*y + 70, -g - 4*y - 5 = -0*g. Suppose -124 - 2 = -3*s. What is the remainder when s is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8248358 millilitres?\nAnswer: 0.0008248358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-9)*10*(-2610)\/290*3.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 15) in base 2?\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 11 + 26 - 28*l + 11 + 25*l. Let f be a(14). Solve 4*x = f*x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123370335 to the power of 1\/4, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a. Let x be (-1)\/2 + 4 + 21\/(-6). Suppose x = 2*m - 8*m + 330. Let u(o) = 32*o + 22*o + 1 - m*o. Determine -4*c(j) + u(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + h + 30. Let j = -1 + 1. Let k be z(j). Let d be (-1030)\/(-30)*7 + 2\/(-6). What is the highest common factor of d and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y - 2*y**2 - 11*y)*((4 + 2 - 3)*(5 + 1 - 4) - 2 - 2 + 1).\nAnswer: -6*y**2 - 27*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*l + 105 = -l, 0 = 5*p + l - 175. Suppose -32*c - 1281 = -p*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16227, 16248, 16269, 16290?\n\"Answer: 21*r + 16206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 + -66 - 46 - (5 - 53 - 0)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**(2\/7)*g)\/g*g*g**(-4)*g)\/(g**(-4\/3)*g**(-6)*g)*(g\/(g*g**(2\/21)\/g)*g*g\/(g\/(g\/g**(-2)*g)))\/((g*g*g**(-5)\/g*g*g)\/g**(-2\/13)) assuming g is positive.\nAnswer: g**(3650\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/25))**39*(u*u**(1\/6))**(10\/11) assuming u is positive.\nAnswer: u**(-1699\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/61 <= 18\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8) + (15 - (-4002)\/(-264))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3304*3862\/4*-2. Suppose 437*r - 465*r = 973840672. Let s = r + q. What is s rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 8*j + 1. List the prime factors of v(17).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*o + 20 - 80 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n - 8*n + 89 - 176 + 87. Let z(j) be the second derivative of j**6\/72 + 7*j**4\/12 - 7*j. Let m(x) be the third derivative of z(x). What is i(m(o))?\nAnswer: -50*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + (14 - 26)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 433569\/(-7353) + 238\/798 + (-3)\/9\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -9. Suppose -5*s = q*g - 13, 31 = -2*g + g + 5*s. Let y be -2 - (2 + 28\/g). Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/33)*w\/w**3)\/((w*w**(-33))\/((w\/(w*w*w*w*w\/(w*w*(w\/(w**(-25)\/w)*w)\/w)*w))\/w)) assuming w is positive.\nAnswer: w**(1780\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000089214 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33920936 or 33920935?\nAnswer: 33920936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.6882 to one dp.\nAnswer: 13.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2*m + 0*m - 9 = 0, -4*g + 4*m - 8 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(-2)\/((-8)\/7). Let x be ((-216)\/(-16))\/((-2)\/(-28)). Suppose r - 3*y - 63 = 0, 3*r - 2*y + 5*y = x. Calculate the highest common factor of l and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 128*y - 129*y + 7.\nAnswer: -y - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 = -0. Suppose 5*y - f = y. Is 2 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - b**2 - 3*b + 4. Let m be j(-4). Suppose 3*z - 5 = m. Suppose 0 = 3*s - 5 - 31. What is the remainder when z is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**3 - 20*f + 8*f**3 + 17*f. Let q = -966 - -961. Let v(n) = 2*n**3 - 2*n. Determine q*v(y) + 4*g(y).\nAnswer: 2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -106, -415, -930, -1651?\n\"Answer: -103*u**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/9 + (-760)\/(-30). Let l(x) = -2*x**2 + 75*x + 49. List the prime factors of l(q).\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4872181909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*q + 11*q + y - 5, 2*y + 6 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125938, -125949, -125960, -125965, -125958, -125933?\nAnswer: -125884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 5) to base 16\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 2:12 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -853\/9 + 95. Let u = -965 + 4823\/5. Let r = 4.02 + -0.02. Which is the nearest to l? (a) u (b) -4\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + i + 14. Calculate k(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 3. Suppose 3*t = 5*t + 2. Let b be f(t). Sort 3, 4, b, 1 in increasing order.\nAnswer: 1, b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 + 0 + -11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4367*v = -4371*v - 3*m + 148, 36 = -2*v + m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*k**4 + 139*k**3 + 2*k**2 - 14*k - 10.\nAnswer: 96*k**2 + 834*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4449473.93 to the nearest 1000.\nAnswer: 4449000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*g - 2 + 2 - 2 to m*g + k and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m. Suppose -l + 2*r = 3*r - 10, -3*r + 20 = l. Suppose -l*t + 13 = 3. Let j(x) = -16*x**2 + 12*x**t + 3*x**2. Give j(z(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -2\/631 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 97485.56l?\nAnswer: 97485560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -137.2201886 rounded to zero decimal places?\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -816? (a) 3\/7 (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6244 divided by 14?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (170\/136)\/((-1)\/(-48)). What is the greatest common factor of q and 708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.043655 + -373590108.\nAnswer: -373590107.956345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5028, 10062, 15096, 20130?\nAnswer: 25164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -95, -27, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60938609 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**5 + y**5 + 3*y**5 + 14*y**5 + 17*y - 17*y + (0*y - y**4 + 0*y)*(0*y - 3*y + 5*y).\nAnswer: 13*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 3. Let j be n(7). Let q be 2944\/40 - (-4)\/j. What is q rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223871495 - 12*i + 17*i + 223871496 + 14*i.\nAnswer: 19*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01264054 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -56, -113, -170?\n\"Answer: -57*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-430)*1\/(-2))\/((-2521)\/(-12605)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120100020010120 - 0?\nAnswer: -1120100020010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.855 - 5.145. Is -2 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, 1, 5, 0.3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 9)*(-1 + -1). Let y(j) = -3*j + 11. Let s be y(2). Let t = -155 + 161. Solve 2*q - f = -s*l + 2, l = q + t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 5*c**2 + c + 1. Let s be x(-6). Suppose 0 = 4*p + b - 0*b + 19, -4*p - 5*b = s. Sort p, 0.1, 2\/7 in ascending order.\nAnswer: p, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.948927297 and 42.\nAnswer: 44.948927297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1047659871.999401 - 1047660654. Let v = 782 + p. What is v rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 30 - 34 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -37. Solve z*q + 9 = 41*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n + 11. Let q(j) = j - 2. Calculate 11*q(l) + 2*r(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(1*(5 - (1 - -2))). Let p(k) = -k**3 - 10*k**2 + 10*k - 7. Let i be p(-11). Let z = 0 + i. Solve m*f = z*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 143446, 143463, 143480, 143497, 143514, 143531?\n\"Answer: 17*x + 143429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) - (sqrt(1620) + 1*sqrt(1620)))*-1 + sqrt(1620))\/(-3*sqrt(81) + sqrt(9) + sqrt(18)\/sqrt(2)*5).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1160*v**6 + 1087*v**5 + 2*v**3 - 78*v**2 - 37345*v?\nAnswer: 139200*v**3 + 65220*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04569762 take away -6?\nAnswer: 5.95430238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6292*v - 1447214. Calculate b(-230).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3216 is divided by 1439.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x + 5. Let h(j) = 1. Let l(z) = -a(z) + 5*h(z). Let v(q) = 124*q - 192. Let k(s) = -26*s + 40. Let p(n) = -24*k(n) - 5*v(n). What is l(p(c))?\nAnswer: -36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 - 40. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1529 - -702. Let m = -9103\/11 - r. Is m less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 0 + 0*h**3 + 1\/6*h**4 - 2*h + 0*h**2. Let r(q) be the first derivative of -q**2 + 1. Calculate r(j(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, o: 6, c: 8}. What is prob of picking 1 f and 3 c?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 101630186*-1.\nAnswer: -101630186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/40, 3\/5, -1\/7, 0.7 in descending order.\nAnswer: 0.7, 3\/5, 9\/40, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhhh. Give prob of picking 2 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-6)*(-3 - (-63)\/15). Let d(b) = 49*b**2 + b. What is the remainder when d(1) is divided by (h\/(-6))\/((-82)\/42 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*o - 20, -3*i + 3*o - 9 = -3. Let v = -0.3 + 4.3. Which is the third biggest value? (a) v (b) i (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-54)*-9*-24*(-6)\/15?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 22 = -10*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 288*l**2 + 15*l - 385. Is d(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-4*c + 5*c + 11*c)*(-3*c - 2*c + 2*c).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 1. Let g be p(-4). Suppose -4*m + 3*m = -g*d + 9, -d = -3*m - 11. Let s(b) = 2*b - 15. Let o be s(10). Sort d, o, 4.\nAnswer: d, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380619 is divided by 47534.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyyllylyllslyyslyl. Give prob of sequence ly.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.1439 to two decimal places.\nAnswer: -7.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 98967, 395943, 890903, 1583847?\n\"Answer: 98992*v**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52520)\/(-360) - 19) + -125?\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, a: 6}. What is prob of picking 4 b?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -9, -0.1341979.\nAnswer: -9, -0.1341979, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.191 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11342021 + -404?\nAnswer: 11341112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 29*x - 32*x + 5 - 5. Let g(d) = 5*d**2. Determine p(g(t)).\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 593024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9855732 rounded to four dps?\nAnswer: 0.9856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -180 + 190. Calculate the highest common divisor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+-5799\nAnswer: -5799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47004 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 634.3198m?\nAnswer: 63431.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1 = -9. Let y(j) = j**2 - j - f*j - 1 + 2*j**2 - j**2. Let i be (-9)\/(-24)*4*(-12)\/(-9). Let a(g) = 8*g**2 - 13*g - 5. Determine i*a(d) - 9*y(d).\nAnswer: -2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 30, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*y + 119 = -32 - 149. Solve 21*o - 4 = y*j + 24*o, 4*o = -3*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3\/9 + 17428*n**2\/9 + 392050*n\/3 + 491736 = 0.\nAnswer: -63, -4, 8781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/10)\/(2\/(-5)). Let b be 4*6\/16*2. Suppose -b*m = 12, 4*g + m + 1 = g. Sort h, -1, g in decreasing order.\nAnswer: h, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oevkako. Give prob of picking 1 k and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 384 - 396. Let i = -19 + 8. Which is the closest to -2\/3? (a) -1 (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**4\/2 + 31*j**2\/2 - 14*j. Differentiate r(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29120, 29087, 29052, 29015, 28976?\n\"Answer: -m**2 - 30*m + 29151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l + 0*l + 3*l)*(0 - 1 - 1)*(24 + 13 - 7) to b + t*l and give t.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005560066 rounded to 4 decimal places?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 5:06 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**2 - 83*b**3 - 75*b**3 + 151*b**3 to the form a + x*b**2 + u*b**3 + l*b and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1582 is divided by 176?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5 = -5*b - 3, 2*b = 10. Solve -1 - u = -6*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 at least as big as 719\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 526945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 - 145. Is 0.46 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -9*c + 146. What is the units digit of c*(0 - 2\/(-4)*13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1102929065 to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4293*n**2 - 1 - 2032*n**2 + 4 - 2260*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 18*i**2 - i + 24. Let u be h(18). Suppose 0*r + u*r - 36 = 0. Suppose -a + r = -0*a. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eyte when four letters picked without replacement from tyeeteeeteytte.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189509 = -3328*j + 44754 - 64909 for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5284995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1679 = -4*w + 1337. Let p be w\/195 + 4\/30. Suppose 34 = p*b - 22. What is the remainder when 41 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14164589.43 rounded to the nearest ten thousand?\nAnswer: -14160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (190\/(-25))\/1 + 8.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x - 2*k + 4, -4*k + 13 = -5*x. Let l(h) = h**3 + 4*h**2 - 7*h. Let b be l(x). Solve 3*w = w - b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15 - 10) + (-206)\/(-1). Let j = u - 199. Solve 6*d - d - 8 = n, -3*d + 3*n + j = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 17. Let j(h) = -h**3 + 4*h**2 + 3*h - 2. What is the remainder when n - (-77 - (-4)\/(-1)) is divided by j(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*y + 2*y - 120, -o - 5*y = 12. Find the common denominator of (615\/o)\/5 - -4 and -58\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d - 23 - 55 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3 + 2*u**3 + 4*u + u**3 - 2*u**3. Let q be v(-2). Let m = q - -21. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + u**2 - 2*u + 2. Let g = 47 - 34. Suppose -g - 2 = 5*y. Give w(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**3*o**3 + g**3 + 50*g*o - 427*o**3 + 3*o**2 wrt o?\nAnswer: -18*g**3 - 2562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2422 + 290641\/120. Let a(l) be the third derivative of -7\/24*l**4 + 49\/12*l**3 + s*l**5 + 4*l**2 + 0 + 0*l. Factor a(k).\nAnswer: (k - 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, z: 1, a: 1, r: 2, g: 2, c: 2}. What is prob of sequence gzcc?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**9\/168 + a**6\/15 + a**5\/20 + 5*a**3\/6 + 33*a**2 + a. Find the third derivative of u(r) wrt r.\nAnswer: -360*r**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -24*j. Let l(f) be the third derivative of -49*f**4\/24 - 3*f**2 - 50. What is -2*l(m) + 5*o(m)?\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 22 = 2. What is the remainder when 11 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - 2*q**3 - 2*q + 32 + q**3 to h*q + m*q**3 + j*q**2 + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1144 and 264?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 - -8)*(0 + 3). Let r(a) = 9*a + 37. What is r(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j + 6. Suppose 52 = -8*k - 36. Let y(m) = 11*m - 11. Determine k*s(d) - 6*y(d).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + 6*x - 3. Let q be (5\/10)\/(1\/12). Suppose -5*v - 2 = g + q, g + 3*v = -6. Let w(l) = -2*l**2 - 5*l + 2. Determine g*s(t) - 4*w(t).\nAnswer: -t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15545167 to the power of 1\/2, to the nearest integer?\nAnswer: 3943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4430219 (base 11) in base 13?\nAnswer: -17c2999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 21 = -3*j. Let t be (j\/6)\/((-3)\/(-60)). What is the third derivative of 11*d**5 - t*d**2 + 73*d**3 - 73*d**3 wrt d?\nAnswer: 660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -abaa39 + 267?\nAnswer: -aba792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 2:44 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnllnlnnnnl. What is prob of picking 3 n?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 598 (base 15) in base 12?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 163265524 to the power of 1\/3, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 1, -5, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*b + 2*b + 1, 2*h + 24 = 3*b. Let j = 13 + h. Suppose 4*c + 0*o = -o + 13, -c = -4*o + 18. Solve 6 = j*r - c*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -283903*b*g**3*n + 81*b*g**3 - 11*b*n + 1327*b wrt n?\nAnswer: -283903*b*g**3 - 11*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oicxwcw. What is prob of sequence cwc?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 6057, 0.08, -2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2122 - -2320?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1310*f + 2620*f - 1310*f + 2*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/18 - -115\/9. What is the common denominator of h and ((-59)\/(-2) - -1) + (-30)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -10*r**4 + 5*r**3 - 26*r**2 + 5. Let z(y) = y**5 + y**4 - y**3 - y**2 - 1. Let l(i) = -k(i) - 5*z(i). Find the third derivative of l(j) wrt j.\nAnswer: -300*j**2 + 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25647?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2187 and -32990.\nAnswer: 40204.913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 189*c**2 + 116*c**2.\nAnswer: 301*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvnjvvvv. What is prob of sequence vv?\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63.9 - -61.9. What is the closest to i in 0, 1\/3, -9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-583130\nAnswer: -58313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*x**2 - 16*x**2 - 4*x**2 as p + n*x + c*x**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6230 minus -123.112826?\nAnswer: 6353.112826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7726*k + 3644 + 3661 = -7711*k. What is the remainder when k is divided by 68?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7266 divided by -3?\nAnswer: 2422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 14*h + 5034 = 0. Let t = -368 - h. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(19) + -1 + -4.\nAnswer: -7 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4634 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 10*r + 21. Does 10 divide f(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*d**2 + 325*d**2 + 4*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 y, and 1 s when three letters picked without replacement from {l: 1, z: 8, o: 4, y: 1, s: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 6*h**2 + 12*h - 24. Let a = 18 + -11. Suppose 3*m = 119 + a. What is the remainder when m is divided by u(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 32. Suppose 5*p - 3*p - 5*j = 55, s*p + j = 40. Find the first derivative of -21*d**2 - p*d**2 + 24*d**2 + 6 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124185793.\nAnswer: 379, 327667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9047 + -9033. What is the remainder when 913 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h + 61. Let t be r(-7). Suppose t = k + 4*y + y, 4*k + 2*y - 106 = 0. Calculate the remainder when 72 is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*h*u*v**4 + 109*h*u*v - 10*v**5 + 3*v**2 wrt v?\nAnswer: -360*h*u*v - 600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 196*g**2 + 80*g - 22424. Calculate l(-195).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 505550*d**3*h**2*q - 32*d**3*q**3 + 14*d**2*h**2*q**3 + 16*d**2*h**2 - 883*d*h**2*q**2 + h**2*q**3 wrt d.\nAnswer: 3033300*h**2*q - 192*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27598485 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/237, -2\/7, -2\/11, 4\/9, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43268 - 43268.0000017351. What is a rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5155 and 631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10986*v**3 - 114*v**2 + 23*v wrt v?\nAnswer: 65916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -9. What is the first derivative of -5*i**c - 4*i**3 + 4 + 0*i**3 + 6*i**3 wrt i?\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6 = 10. Suppose -4*g - s = -4*s - 5, q*g - s - 15 = 0. Suppose g*v = 3*v + 160. Is v a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w + 166. Let m be 3*(-54)\/(-12)*2. Let u be r(m). Solve 6 = u*a - d, 0 = 4*a - 4*d + 5*d - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 95538825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 11:31 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 999 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + d + 18, 2*m + 0*m + 39*d - 73*d = -67*d - 144 - 46 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 72106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 363.1114 hours?\nAnswer: 1307201.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41.68, 1\/7, 3 in ascending order.\nAnswer: 1\/7, 3, 41.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14297747?\nAnswer: 19, 752513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*20\/(-16)*-2. Suppose i*l - x = 4*x + 1490, 0 = l + 5*x - 268. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**2 - 47865*m - 430380 = 0?\nAnswer: -9564, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -127a - -ed?\nAnswer: -117c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 232 + -176. Calculate the greatest common divisor of 232 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32480\/58)\/(-70)*102\/(-16).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 729?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 3:43 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 222*q - 671*q - 166*q - 67035 for q.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q - 16. Let r be d(3). Suppose 153 = 11*n - r*n. Calculate the remainder when n is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*t + 144*t - 274*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from ukuuuuuuuukuukuu.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 5*v - 33 = -60, 0 = -5*v + 25 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 14860 = 4*v, 12*h - 7*h - 3692 = -v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1525*j - 1542*j - 306 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*t + 7*t - 5*t + 4*t**2.\nAnswer: 4*t**2 - 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22362 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*p + 32. Let x = p + -22. Suppose -2*y + x*y = 0. Solve y = 2*t - 7 - 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7047136377 to the power of 1\/3, to the nearest integer?\nAnswer: 1917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260985903?\nAnswer: 3, 86995301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.775280623 minus 0.2?\nAnswer: 1.575280623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13229*b - 4095 = -13242*b. What is the lowest common multiple of 99 and b?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 42 + 125 + 432*q**3 - 41 - 421*q**3.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 43 (c) -4 (d) 3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 831.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 76*h**3 + 5*h**2 + 80*h - 90. Let k(a) = -38*a**3 - 3*a**2 - 48*a + 45. Calculate 5*k(b) + 3*z(b).\nAnswer: 38*b**3 - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 120252.01 and -5.\nAnswer: -601260.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 5*n + 17 = 0, -3*f + 0*f = -5*n - 37 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*d + 2496 = d - 2089 - 1115 for d.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.12, 0.5, 0.3, 1.\nAnswer: 0.3, 0.5, 1, 2.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, -27, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2035110 divided by -67837.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) 0 (c) -6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -7 (c) 41 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1214382 less than -2688.2?\nAnswer: -2689.3214382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -12. Suppose -2*b = -4*d - w, 0 = 2*b - 7*b - 10. Let p(g) = -g**2 - g - 3. What is p(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.37 - 0.328. Let o = g + -0.04076. What is o rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7065 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11*m + 13. Let i(j) = 7*j + 7 - 1 - 2*j. Let s(x) = 13*i(x) - 6*w(x). Let l(n) = -n. Determine l(s(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0*c + 2*c - 3*c + 6 - c. Suppose -w = 2*r - 18 + 7, 0 = 3*r - 5*w - 49. Suppose -2*h = -r, 5*x - 3 - 5 = 3*h. What is l(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b = t + 11, -3*b = 6. Let l(y) = 2*y**3 + 15*y**2 - 2*y - 15. Let r(w) = -w**3 - 7*w**2 + w + 7. Let c(v) = 2*l(v) + 5*r(v). What is c(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 473*b + 4 - 1 + 260*b - 3.\nAnswer: -213*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/1065 and -47\/3123645.\nAnswer: 3123645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 4*w**2 - w - 2*w**2)*(w**2 + 3*w**2 + 2*w**2).\nAnswer: 12*w**4 - 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5.7 (b) 0 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - 4402?\nAnswer: -4421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 12\/18211 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 88.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*x, 3*m + 6 = 5*x - 0*m. Suppose x*b + 74 = -19. Let v = 47 + b. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 246 or 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3224216885 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 837\/10964 or -1?\nAnswer: 837\/10964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 0, -3, 5, 116?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, 0.4, 0.3, -2, -15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -1. Let t be (2 + -13)*-7 - (-5 + 11). Suppose -4*k + 2*b + 66 = 0, -4*k + t = 15*b - 18*b. Calculate the greatest common divisor of y and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13905502 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/5 + (-3 - -1). Let h = -19 - -20. What is the nearest to p in 4, -2\/11, h?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (0 + ((sqrt(54)\/sqrt(3))\/sqrt(6) - sqrt(144)\/sqrt(3)))*4)**2.\nAnswer: 96*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/15 + 104\/(-10). Let v be 12\/(-20) - 26\/c. Solve 0*g = -v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -430*c - 3. Let u(r) = 7*r. Give j(x) + 10*u(x).\nAnswer: -360*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2324*d**2 + 2004 wrt d.\nAnswer: -4648*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -195*l**6 - 97*l**2.\nAnswer: -23400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 3:15 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 473450848 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -5*-4*sqrt(171)\/(sqrt(18)\/sqrt(18)))*4)**2.\nAnswer: -9600*sqrt(19) + 1094800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*s + 24374 - 5256. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.9702 - 13.02. What is t rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12302649)\/(-452) + (-5)\/20.\nAnswer: 2, 31, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106 - 11156?\nAnswer: -11265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afffal. Give prob of sequence aaf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 3465.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 774 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3563 + 3515. Let r(t) = 119*t**3 - t**2. Let b be r(-1). Let d = l - b. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -636291 and 3.7.\nAnswer: -2354276.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s + 15. Suppose 25 = q - 5*x, -2*q + 5*x + 36 = -34. Suppose 5*j - q = -0*j. What is the tens digit of u(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**5 + 10*c**3 - 14*c - 8. Let g(v) = 5*v**5 + v**4 - 10*v**3 - v**2 + 13*v + 8. Let n(h) = -2*g(h) - 3*m(h). Factor n(s).\nAnswer: 2*(s - 2)**2*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 46, -1, 2, 0.2, -4, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3583 a factor of 12974043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 209720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + g - 18 = 0, 66 = 601*v - 598*v - 27*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11060.2*-0.15\nAnswer: 1659.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5086.884cm?\nAnswer: 50868.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2. Let g = -5 + 11. Let c(n) = -12*n**2 + 17*n - 17. Let z(r) = 2*r**2 - 3*r + 3. Let l(x) = g*c(x) + 34*z(x). Give l(s(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -103*h**8\/56 + 29*h**4\/6 + 227*h + 81. Let o(a) be the first derivative of p(a). Find the third derivative of o(g) wrt g.\nAnswer: -12360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005 times 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.566 minus 1556?\nAnswer: -1587.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 + 6*w + 4*w - 941 + 925.\nAnswer: -(w - 8)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 11:59 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 27c (base 16) to base 13\nAnswer: 39c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 174348 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: Factor -3*i**3 - 78*i**2 - 195*i + 276.\nAnswer: -3*(i - 1)*(i + 4)*(i + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 217, 438, 661, 886, 1113, 1342?\n\"Answer: t**2 + 218*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.036?\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-73)\/(-803))\/((-3)\/(-11)). Factor 0 - 4\/3*m**2 + a*m**5 - m**3 + 2\/3*m**4 + 4\/3*m.\nAnswer: m*(m - 1)**2*(m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2*p*p)**(2\/53)\/(p*p**(1\/3))**(9\/10) assuming p is positive.\nAnswer: p**(-278\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574241007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 12:03 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v + 19. Does 10 divide h(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/9*2*3\/(-20). Let t = -391\/5 + 78. Which is the smallest value? (a) n (b) t (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -637143*h + 637122*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.12, 0.1, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 - 105. Let z = -11 + 2. Let w = -7 - z. Put -1, w, c in descending order.\nAnswer: w, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 505 = -2*t, 4*t = -5*c + 1237 - 394. Calculate the remainder when c is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -w - 124. Let n = -17 - -33. Calculate the remainder when w is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Suppose 3*s = -27 + 9. Let y(t) = t**2 - 3*t + 3. Let w be y(3). Let v(z) = z**3 + 6*z + z**2 + w + z**2 + 5*z**2. What is v(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-1 + -1)) + (61 + -40 - -23)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**7\/2100 - m**6\/1200 - m**5\/600 + m**4\/240 + 23*m**2. Factor v(t).\nAnswer: t*(t - 1)**2*(t + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 958257 to the power of 1\/2, to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(19))**2*-2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 4*c - 792 = 0. Calculate the remainder when c is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r + 10. Let y(p) = -p + 2. Let c(t) = -3*b(t) + 15*y(t). Let i(v) = -1537*v. Calculate i(c(q)).\nAnswer: 9222*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -0.3 (c) -0.5 (d) -8 (e) 0.2104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/44 (b) -12 (c) -122 (d) -5 (e) 8 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 0*p - p + (4 + p - 4)*(-2 + 2 - 2) + 45*p - 1054 + 1031 - 137*p.\nAnswer: -95*p - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89170 is divided by 89064.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1397062, 1397088, 1397114?\nAnswer: 1397140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -1\/8*d**2 + 1\/2*d - 1\/12*d**3 + 5. Determine a so that c(a) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/(-30) - (-7 - 0 - (-1 - (-12 + 22))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25184367 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 + 6*d + 88 + 5*d**2 - 205 + 115 - 2*d**2 + 4*d in the form k*d + m*d**2 + f + q*d**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -480, -1169, -2062, -3159, -4460, -5965, -7674?\n\"Answer: -102*q**2 - 383*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -4, 5, -56 in decreasing order.\nAnswer: 5, 4, -3, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -64, -89, -114, -133, -140?\n\"Answer: w**3 - 9*w**2 + w - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -971*z - 52381. Calculate r(-54).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 2*t = 35. Let a(q) = -8*q - 7. Let c(o) = -7*o - 6. Let v be -5*(1 + 3\/15 + 0). Calculate t*a(w) + v*c(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 6*k**2 + 7*k - 9. Calculate q(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 > 2.96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 58. Let x = l - -14. Let a be (-2)\/5 - 14\/(-10). Sort 0, x, a in ascending order.\nAnswer: x, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -110*b**3 + 9*b**2 + 65*b - 3. Let k(u) = 220*u**3 - 21*u**2 - 130*u + 7. Give -3*k(p) - 7*l(p).\nAnswer: 110*p**3 - 65*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16774 times -2.1?\nAnswer: 35225.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 12*t - 5*t**2 + 1 - 2*t**3 + t**3 - 9*t**3 - 2*t**3. Let s be a(-5). What is s rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d = 64. Suppose m + k = 2, -k - d = -2*m + 4*k. Let v = 122 - 68. Calculate the highest common factor of v and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 times 0.68\nAnswer: -74.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or 255?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 6*d = 3*y + 18, 0*d = 4*y + 3*d - 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21882108 and 4122716?\nAnswer: 284467404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000370952 rounded to 6 dps?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 67. Let x(z) = z**3 - z**2 - 10*z + 7. Let h be x(l). What are the prime factors of 12*5\/h - 1*-169?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31130 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/6 + -16 + 20. Let i = 47 - 51. What is the nearest to -3 in 0.3, i, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2368 by 2.\nAnswer: -1184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2015*f + 291. Give o(0).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + 89. What are the prime factors of n?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -m + 14, -3*l - 5*m + 42 = -4*m. What is the lowest common multiple of (-8)\/(4\/(-2)) - 2 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165\/2258 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6503 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 5*d**2 - 5*d - 1. Suppose -4*c + 87 = -k, 4*c - 3*k - 90 = -k. Suppose -6*j = -5*y - 2*j, -4*y - c = j. Calculate h(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 8:09 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06 and 57611494265.\nAnswer: 57611494265.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402524894 a multiple of 3538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9*r**3 + 44*r**2 + 136*r - 2. Is s(-3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a century in years?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 57 - 117 + 40 + 19*p - 89*p in the form y*p + a and give y.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*g + 2245*g + 574*g.\nAnswer: 2888*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -23. Suppose 2*p - j = 0, -p + 995 = 5*d - 5*p. What are the prime factors of d?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52930 + -37765. Suppose q = -23*h + 32*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3 = -b. Suppose -5*f = b - 16. Suppose -f*h - 2*z + 102 = -z, -136 = -4*h - 2*z. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3 + (-4)\/(-9 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, f: 1, z: 2, r: 1, u: 2}. What is prob of sequence fun?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i + 84. What is j(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**2 - 2*a**2 - 8*a**2 + (-2 + 6 + 3)*(2*a**2 - a**2 - 2*a**2).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6076)\/84)\/(952\/1224)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -3, 2, -8019, 3 in decreasing order.\nAnswer: 5, 3, 2, -1, -3, -8019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2. Let y(t) = 2*t - 1. Let v be y(3). Let m(p) = -p**2 + 6*p + 1. Let q be m(v). Let u(a) = 3*a - 4*a + 2*a - q*a. What is n(u(l))?\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*t + 62 = 0, 0 = -r - t - 12 - 9. List the prime factors of (168\/r)\/((-3)\/10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2250 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 136 = k. What is t in 24 + 35*t + 13*t**2 - 3*t**2 - k - 35*t**3 = 0?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, x: 5}. What is prob of picking 2 q?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 - -0.83. Let n = f + -5.8. What is the closest to -0.2 in -0.2, n, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/15))\/r**(-2) assuming r is positive.\nAnswer: r**(47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 24*g + 25*g = -43*g. Which is smaller: g or -17\/502?\nAnswer: -17\/502","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21292 (base 10) to base 3\nAnswer: -1002012121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2628477993 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(-12)\/25 + -2. What is the biggest value in v, 1\/3, 4, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*u - 432, -680 = -5*o + 5*u - 140. Let t = o + -105. Solve 6*y - y + 16 = -4*v, -t*v - 2*y = 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 11*f**3 - f**2 - 3*f - 3*f**4 + 2*f**3 - 7*f**2.\nAnswer: -3*f*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(121)\/(2*sqrt(11)))*5)**2.\nAnswer: -125*sqrt(11) + 2775\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/((-352)\/(-242)))\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11994, -13137, -15052, -17739?\nAnswer: -21198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 2*w**2 - 3*w + 1. Let v(s) = 6*s**3 - 8*s**2 - 23*s + 24. Determine 4*q(a) - v(a).\nAnswer: -2*a**3 + 11*a - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 27 = a, -2*a + 44 - 50 = 0. Solve c*k = -r + 13*k + 9, -2*k - 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 3. Let z be i(-6). Suppose -z*x + 11 + 1 = 0. Suppose -11 = 4*a + 4*b + 1, 4*a - 7*b - 43 = 0. Solve -t - o = 7, -3 = -a*t + x*o + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r = -11. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11128 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 256500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (8\/(-54190))\/(-2). Let j = -222187\/108380 + n. Calculate the common denominator of 73\/16 and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/55)\/((8\/20)\/(-2))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 162473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -419 - -515. What is the highest common divisor of 432 and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2. Let c(w) = 34 + 3*w + 115 - 52 + 110. Determine c(d(p)).\nAnswer: 3*p**2 + 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - (-4 - (1 - 2)) - -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 13*l. Let d(h) be the second derivative of -20*h**3\/3 - 5*h - 2. Give -5*d(f) - 16*k(f).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 246096 and 576?\nAnswer: 984384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43839 is divided by 43839.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 2:37 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4*3\/(-36)*(-119)\/4 and -70\/129.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 7\/300*h**6 + 4\/15*h**3 + 0*h + 3\/25*h**5 - 39 + 1\/4*h**4 + 3\/2*h**2. Let c(v) be the second derivative of t(v). Factor c(f).\nAnswer: 2*(f + 1)**2*(7*f + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/48 and 52\/1378803?\nAnswer: 22060848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrvrvbkrkrrbrr. What is prob of picking 2 v?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 20 - (0 - -3). Let r = l - 12. Let h be 9\/12*4 + -2. What is the greatest common factor of r and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11342 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -80, 468 in descending order.\nAnswer: 468, 14, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6381, -6366, -6351, -6342, -6345?\nAnswer: -6366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39\/10, 0.03, -5.\nAnswer: -5, 0.03, 39\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 646*d + 3217. Calculate u(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -204169121*x**3 - 22721883*x**2.\nAnswer: -1225014726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 3*i - 12 = 0, 211*i = -5*x + 216*i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*d + 1136 = 77*d for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+3328267415\nAnswer: 3328267415.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -485, -77, -12, -2 in descending order.\nAnswer: -2, -12, -77, -485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15848075*h**4 + 25972291 wrt h?\nAnswer: -63392300*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88 - (-7 - 30)) + 42\/(-6)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/1023355 and -139\/150.\nAnswer: 30700650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 5:19 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 829484 times -276?\nAnswer: -228937584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 353.1 (b) -0.6 (c) 886 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**31\/y)\/y*y)**(18\/7)\/(y**(3\/7)\/(y\/(y\/y**(-5)))) assuming y is positive.\nAnswer: y**(502\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 2\/21*g**3 - 1\/35*g**5 + 0*g**4 - 1\/7*g**2 + 1\/105*g**6 + 0 + 10*g. Suppose z(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2542297*g**5 - 2*g**2 + 2962526*g.\nAnswer: -152537820*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 151, 378, 787, 1402, 2247, 3346, 4723, 6402?\n\"Answer: 4*y**3 + 67*y**2 - 2*y + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -106753\/8244 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6634807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 4707997?\nAnswer: -4708001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6855454*d**3*v + 2*d**3 + 14*d**2 + 2*d*v + 56*v - 156 wrt d.\nAnswer: -41132724*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 30. Suppose 2*z - b - 3 = 0, -u*z - 9 = -0*z - 5*b. Solve -y - z*y = 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*9\/(-18). Let s = 28 + -29. Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-18)*18 + 494968\/(-11 + 3). Round n to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -21, 2\/5 in descending order.\nAnswer: 2\/3, 2\/5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120241 + 1205431?\nAnswer: 1330112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 14*o - 108. Determine i(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001891417 to 7 dps.\nAnswer: 0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 366987339?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -499098, -0.2, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*f**(6\/11))**(2\/3) assuming f is positive.\nAnswer: f**(56\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69720976 and 95866342?\nAnswer: 766930736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 11:01 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - 115*h**2\/2 - 5217*h\/4 - 6777\/2.\nAnswer: (h - 251)*(h + 3)*(h + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4524 + -4515. Calculate the least common multiple of 175 and w.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2. Let a(n) be the first derivative of 0*n + 5 + 0*n**2 + 23\/3*n**3. Calculate a(c(x)).\nAnswer: 23*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**3*j**3 + c**3*j + 8*c**3 - 4*c**2 - 28721534*c*j**4 - 17*c*j + 24*j - 10 wrt j?\nAnswer: -24*c**3*j - 344658408*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.48 rounded to 0 decimal places?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*v + 121393 = 114217 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52.4 + 51.4. Let h = 11 - 4. Let v = 6 - h. What is the nearest to v in 1\/3, 3\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1424 and 785.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 51*p + 51*p - 44*p**3 + 2*p**2 - 78*p**3.\nAnswer: -122*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j + 4. Calculate s(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*f = 1739*f + 730*f + 248*f + 249600 for f.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.5 + 19. Put -4\/3, 4, k, -19 in ascending order.\nAnswer: -19, -4\/3, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74110 divided by -10\nAnswer: -7411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 3*x**2 + 20*x - 103. Is u(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2994.\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48d6 - -2?\nAnswer: -48d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -4. Let j = -19 + 28. Suppose 3*z = -j, 7 = -u - w*z - 4. What is the least common multiple of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2924 and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010100010 - -100010111101?\nAnswer: -1001111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2829404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 + -0.2. Let m(h) = 3*h + 8. Let i be m(-5). Is i greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146975230 to the power of 1\/3, to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92413161 and 4365.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32784 less than -0.4?\nAnswer: -32784.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 6:00 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 5:34 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9205.3 + -9205. What is the closest to 0.2 in 0.023, w, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23140862 is divided by 171.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - -34) + 5 + (1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40300504 - 5?\nAnswer: 40300455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 - 61. Suppose 2*p - n = -2*c, -p + 9 = -2*c - 9. Let b = p - 5. Calculate the remainder when 35 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 6. Suppose 3*v + 60 = -5*y - 4, 28 = -2*y - 2*v. Which is bigger: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 - 12*r - 27. Is u(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*y**2 - 3 - 3*y - 12 + 25 - 9 - 3*y**2 in the form m*y + f + c*y**2 and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154585 is divided by 38640?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 6 + 3 = l, -3*l = 2*x + 6. Find the second derivative of -2*g + 2*g**5 + l*g + g**5 wrt g.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -6*a**5\/7 - 198*a**4 - 5430*a**3 + 39402*a**2\/7 = 0.\nAnswer: -199, -33, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 175*c - 122*c + 314*c in the form p + y*c and give y.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 22. Let h be a(16). Let m = h - -142. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3418 + -2.6582. What is the closest to 2\/7 in -53, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1455, 3 in descending order.\nAnswer: 3, -1, -1455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a century in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, -140, -312, -542, -824, -1152, -1520, -1922?\n\"Answer: s**3 - 38*s**2 - s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42 times -0.212?\nAnswer: -0.08904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5331 + -5328.281. What is f rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-122)\/122*19\/((-1976)\/(-16))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y = 222 - 462 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -328.\nAnswer: -32.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1816 - -1928.3. What is a rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 25 = 4*k + 2*n, 2*k - n - 7 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*s**2 - 37*s**2 + 5*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l + 5. Suppose 3*v - 12 = 3*g, -2 + 4 = -3*g - 2*v. Let n be j(g). Does 21 divide (-104 + n)*16\/(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 12. Suppose -254*i = -251*i + 6. Let h(d) = 14. Let n(c) = i*b(c) - 3*h(c). Calculate n(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 20*c - 21*c = -20, 0 = 4*n - 4*c - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -140964 or -140965?\nAnswer: -140964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -n - 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -97, -407, -931, -1675, -2645, -3847?\n\"Answer: -p**3 - 101*p**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -523.5 and -0.034?\nAnswer: 523.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/2)\/(-36))\/(2\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 363, 425, 487?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 b, and 1 e when four letters picked without replacement from {h: 2, e: 2, b: 3, t: 1, y: 4, q: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/sqrt(396) + -3)**2.\nAnswer: -3*sqrt(3) + 39\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 2, -4, 41, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 157, 317, 479, 643, 809, 977?\n\"Answer: o**2 + 157*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30618158257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*x - 22 + 8, 0 = -5*x + 4*t + 30. Let p(r) = -2 + x*r - 7*r - 5. Is p(-6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s = 554. Suppose s = -c + 671. Is -4 + c + 3 - 2*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -3\/7, 3\/4, -0.2, 34, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7336948?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 706093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g + 2 = -5*a, -5 = -4*a - g. Let n(p) be the third derivative of p**6\/40 - p**5\/15 + p**4\/8 - p**3\/3 + 2*p**2. What is the tens digit of n(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5446694104027 + 5446694104027 + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37810.\nAnswer: 2, 5, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 2*q + 112, -29*q + 31*q - 50 = -2*m. Calculate the remainder when m is divided by (-2788)\/(-287) + (-9)\/(-7) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-4 - (5 - 11)). Let u be (m - 0)*(0 - -2). List the prime factors of u\/2*3 - (12 - 160).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -486 + 6317\/13. Sort p, -3\/2, -0.3.\nAnswer: -3\/2, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16 + (-504)\/(-32))\/2)\/((-1)\/2). What is the fourth biggest value in c, -1\/14, -2, -0.1, -36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96428 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 + -96. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -42. Let y be 70\/(-7)*u\/6. Solve b = -m - 2*b + y, -4*b - 4 = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + 33 - (1 + -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9066861 equal to 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 12*r - 12. Let b be x(-11). Suppose -4*w + 27 = -3*w + 5*l, 0 = -2*w + 3*l - 11. Sort w, b, 0 in decreasing order.\nAnswer: w, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4123*y**3 + 2066*y**3 + 2056*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 1524*j - 45575. Calculate i(-30).\nAnswer: -755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.11, -2\/16131, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 + 4*m**2 + 15*m - 41. Let x be a(4). What is the remainder when 101 is divided by (-7 - -11) + (-1 - x)\/2?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 27008?\nAnswer: 135040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -18. Suppose o*h = 23*h + 2. Let x be 8\/(-16) - h\/12. Which is the second smallest value? (a) 2\/9 (b) -2\/15 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 c, and 1 v when three letters picked without replacement from hvwhtctvntht.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -2, -4321, -2\/5 in ascending order.\nAnswer: -4321, -2, -2\/5, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orxxommr. Give prob of sequence xo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*h - 6. Let l(g) = 5*g**2 - 3*g. Let c(d) = 26*d**2 - 14*d. Let t(s) = h*c(s) + 11*l(s). Find the second derivative of t(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1004 = -0*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**3\/2 + 159*l**2\/2 + 5121*l - 5200 = 0.\nAnswer: -50, 1, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 15202330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2150482892.4358 + -133063.4358. Let t = v - 2150349769.00000031. Let m = t - 60. What is m rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 836473 to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 - 140*z**3 + 1986*z**2 + 16568*z + 14440.\nAnswer: 2*(z - 38)**2*(z + 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 11922 = 4*w + 20041, 2*w = 7*n - 223663. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 4*h + 17, 0 = -85*h + 87*h - b + 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102469000 rounded to the nearest one hundred thousand?\nAnswer: 102500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8931 and 585.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jozogzzowjdozoowz. What is prob of picking 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -12*s + 36. Suppose -11*y - 43 = 1. List the prime factors of m(y).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-18))\/(-80 - 12*5261844\/(-789264))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 2*a + 15. Suppose -7 - 3 = 4*n - 2*d, 2*n - 3*d + 15 = 0. Let y be u(n). What is the highest common factor of y and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**3 - 211810*y**2 - 2248670725*y - 116358846500 = 0. Calculate y.\nAnswer: -21155, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311*l = -359*l. Solve l = -5*r - 19 + 24 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2. Let w be (2\/5)\/(16\/80). Let k be h(w). Suppose 0 = 3*b + 5 + 4, -24 = -4*z - k*b. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -471*z**2 - 1963980*z = 0. Calculate z.\nAnswer: -654660\/157, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1214094, -1214097, -1214100?\nAnswer: -1214103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 17. Suppose -t = -5*m + 15. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (10\/6)\/(88\/(-6)) and (-11)\/(-60)*10*(-140)\/80.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 2 - 2)*(0*p - p + 2*p) + (-5*p + 9 - 9)*(-5*p + 756 - 380 - 357 - p**3).\nAnswer: 3*p**4 + 25*p**2 - 95*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b**2 - 5*b - 11*b**2 - 10*b + 6 + 2*b. What is the units digit of o(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/6)\/((-4)\/144). Let k = -8 + j. Suppose -160*a - 3 = -161*a. Solve h + k = -a*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**6\/6 + 17*p**2 - 11. Find the second derivative of u(o) wrt o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 581 + 32. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1439 = -36*g + 217. What is the remainder when 263 is divided by g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 less than 0.3276487?\nAnswer: -1.5723513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/230? (a) 0.5 (b) -2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*d**2 - 18*d**2 + 676*d**2)*(0*d**2 - 2*d**2 - 4*d**2 - 3*d**2 + d**2 + 4*d**2 - d**2 - d + d + 4*d**2 - d**2 - d**2 + (d - d - d**2)*(0 - 1 + 0)).\nAnswer: -1134*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/20)\/((-34)\/8))\/(311\/(-933))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*t - 176*t - 5*f = 6500, 4*f = 3*t - 6508. Solve 7*a + t = 2117 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2.05, -6\/11, 4\/9, -1\/8?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*n - 50, -j + 70 = 3*n + 4*j. Let g = -13 + n. What is the third derivative of 32*p**6 - 8*p**g + 27*p**6 - 65*p**6 wrt p?\nAnswer: -720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -115 (c) 22 (d) 2\/3 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 474, 888, 1302?\nAnswer: 1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**2 + 2\/3*t**4 + 0 + 11*t - 1\/2*t**3 - 1\/20*t**5. Let c be n(3). Solve -r - 10 = -3*m, 2*m - c + 9 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awwatwawlwatw. What is prob of sequence al?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50609469?\nAnswer: 3, 16869823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24018, 48035, 72052?\n\"Answer: 24017*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-21) + (-16)\/(-7). Let r(n) = n**s + 11 - 7*n**3 - 11. What is r(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -144a99c - 3?\nAnswer: -144a9a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5\/9 + 2164*o**4\/9 + 10520*o**3 - 297004*o**2\/9 + 301322*o\/9 - 11240 = 0 for o.\nAnswer: -45, 1, 1124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 0*t**2 - 3*t + 20\/3*t**3 + 7. What is the derivative of n(x) wrt x?\nAnswer: 40*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 25 = 2*o - 7, 4*o - 84 = 2*a. Let s be o\/8*8\/5. Suppose -3*x + 38 = 5*m - 0*x, 28 = 2*m - 2*x. Solve s*i + i = -m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 170 + -171.57. Let z = o + 1.57079. What is z rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20123 is divided by 10011?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 16953 = -16*y + 20*y, 0 = 2*y - 4*n - 8484. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 6*o**2 - o + 3. Determine d(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5\/5 - (0 - -3)) + 189.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*p + 108*p + 205*p + 44*p - 4*p in the form z + o*p and give o.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -717037\/3 or -239011?\nAnswer: -239011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5945 - 44.4380926.\nAnswer: -5989.4380926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5931*c**2 - 543*c**2 + 1760*c**2 as i + g*c**2 + a*c and give g.\nAnswer: 7148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -22211312011 (base 4) to base 16\nAnswer: -2a5d85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75220042427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 567635838 - -0.01\nAnswer: 567635838.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-507.4.\nAnswer: 202.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*r + 38*r + 14*r - 1014 = 0. Let m(s) = 133*s**3 + 19*s**2 - 19. Let i(q) = 44*q**3 + 6*q**2 - 6. Determine r*m(v) - 19*i(v).\nAnswer: -38*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*g + 10*g**2 + 19*g + 41*g - 61 in the form j*g**2 + h*g + m and give m.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 3 (b) 12\/89 (c) -1\/6 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 92, -454, -1640, -3466?\n\"Answer: -320*y**2 + 414*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110330 - 101?\nAnswer: 110223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2015 + -960. Let z = t + -7370\/7. Find l, given that -12\/7*l - 3\/7*l**5 + 0 + 9\/7*l**2 + z*l**3 - 9\/7*l**4 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 3050.\nAnswer: 3050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 16. Which is the third biggest value? (a) -0.2 (b) 4 (c) 0 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-6)\/(108\/21))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(1\/5))\/w*w*w*w**(2\/5))**(8\/13)*((w\/w**(-2))\/((w*w\/(w*w**(-1\/4)))\/w))**39 assuming w is positive.\nAnswer: w**(28461\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026405767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 + -9) - 6 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -840*c**4*j - 4*c**2 + 2*c*j - c + 102*j wrt c.\nAnswer: -10080*c**2*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9.9? (a) 2 (b) 1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*t - 1116*t**3 + 917*t**3 - 2369*t**3 - 199*t.\nAnswer: -2568*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**4\/6 + 10*p**3\/9 - 8*p**2\/3 + 8*p\/3 + 7. Suppose d(i) = 0. Calculate i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9357877 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 625.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**2 - 6*n - 25. Let g(q) = 11*q**2 + 13*q + 49. Calculate -6*g(s) - 13*m(s).\nAnswer: -s**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 10:55 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 918*y + 8. Let c be n(-6). What is c rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {g: 1, b: 4, m: 1, q: 7, o: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 4 - 4)*(2 + 4*i - 5*i + 7)*(4*i**3 - 40*i**2 + 35*i**2 - 3*i**3).\nAnswer: i**5 - 14*i**4 + 45*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3*p**3 - 61*d**2*p**3 + d*p**3 + 3*p**3 wrt d.\nAnswer: 6*d*p**3 - 122*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (7 - -11) + -7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*l = -2*s - 168, 60 = -2*s + 4*l. Let k = -36 - s. What is the closest to 0 in k, -4\/7, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*h = -39*h - 1010 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -282 - -418. Suppose -9*o + 5*o + 3*o = -8. Calculate the highest common factor of o and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2 + 0 + 17. Suppose 465*w + 1217 = -1108. Put w, -2, v in descending order.\nAnswer: v, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3, -0.0742, 1\/4 in increasing order.\nAnswer: -3, -0.0742, 1\/4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/1404*396\/27?\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(2\/9))\/w)**11)**30 assuming w is positive.\nAnswer: w**(-220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1131, -5, 2, -1 in decreasing order.\nAnswer: 2, 0, -1, -5, -1131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -835666\/237 - -3526. Calculate the common denominator of 17 and o.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16714 less than -10628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 186636001 to the power of 1\/2, to the nearest integer?\nAnswer: 13661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 - 64.1. Let h = b + -2.1. Put 1, h, -4 in decreasing order.\nAnswer: 1, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2. Let h(t) = 482*t**2. Determine i(h(n)).\nAnswer: -696972*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 17*r - 5*r**3 - 17*r + 4*r**3 - 5*r**3 + 2*r**3 + (r**2 - 2*r + 2*r)*(-2 + r + 2) + 2*r**2 - 2*r**2 + r**3.\nAnswer: -2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 3. Let d(t) = t + 13. Let j be d(11). Let c be ((-2)\/(-6))\/((-71)\/j + 3). Determine f(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 31*r - 13*r - 19*r + r**2. Let s(h) = -7*h**2 + 5*h. Let m(a) = -5*o(a) - s(a). Let z(l) = 3*l. What is z(m(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**5\/60 - u**4\/12 + 2*u**3\/3 + u**2. Suppose x - 2 = -d, -d = -2*x + 4*d + 11. List the prime factors of l(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.3 and 9?\nAnswer: 38.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 30 + 20 + 3*t to q + a*t and give q.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5031611\/92 - 54692. Calculate the common denominator of b and (-2)\/(-4) - (-1078)\/88.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 524 - 609 = -16*o. Solve 4 = -2*f - 4*m, 5*m - 16 = o*f + 9*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 5:05 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4341450 (base 6) to base 8\nAnswer: -644746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-174)\/4)\/((-84)\/(-56))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n - 3. Let h be x(3). Let r be (-12)\/(-4) - (-1 + 1)\/(55 - 56). Solve -r*s + h = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 102.1863?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/10 + (-8)\/(-20). Suppose 5*r + z*r = 16. Suppose -2*y - 5 = -3*o - 7*y, -r*y = -3*o - 2. Solve 0 = -4*b - 0*b + 5*i - 18, -b + 4*i - 10 = o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/7 + 10\/(-35). Let i be (-16)\/g + (-1)\/1. Differentiate -2*j + 1 + 11*j + j - i*j with respect to j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-21 + 3 + 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7852, 15702, 23552, 31402, 39252?\nAnswer: 47102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4d642c (base 16) to base 9.\nAnswer: -10480322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**3 - 14*u + 14*u + 1 - 1.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from {u: 4, d: 2, x: 1, r: 1, i: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + p + 8 = 0, 2*p + 26 - 24 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - 0.5. What is the second biggest value in -2, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -54*p**2. Let v(n) = -4*n. Let d(t) = -4*t - 7*t - 9*t + 3*t. Let l(q) = -d(q) + 5*v(q). Determine w(l(u)).\nAnswer: -486*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134.59 - 4866205.\nAnswer: -4866070.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154.6 + -13.4. Let w = x - -79. Let v = -89.5 - w. Which is the closest to v? (a) -2\/5 (b) -4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (-19 - (-44 - -6)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 91910? (a) 379 (b) 1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*d - 50*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -253433.696 and 0.2?\nAnswer: -50686.7392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 781173*u**2 + 781174*u**2 - 2343619*u**2 + 8*u**3 + 781272*u**2.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + 0. Solve 0 = -0*q - 5*q - v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v + 65 = 9*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -434 in ascending order.\nAnswer: -434, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46764 and 11691?\nAnswer: 46764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 6:56 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26511 or -26634?\nAnswer: -26511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxgxxugusgxggkkxxtxx. What is prob of sequence su?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or 0.3210474?\nAnswer: 0.3210474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.44348 millennia to years.\nAnswer: 32443.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeemeem. What is prob of sequence emm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - 3 + 3 + 2*g + 2 - 2 + (-3 + 2 - 1)*(3*g + 0*g - 5*g) + 5*g + g - 4*g + g - 2*g - g + (-5 + 2 + 1)*(2*g - g + 0*g) + 2 - 2*g - 2.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-12))\/(6*2\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131014.\nAnswer: 2, 13, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n. Let z(h) = -6*h**2 - 3. Let o(b) = b**2 + 1. Let q be (-1)\/2*(2 - -2). Let t(w) = q*z(w) - 6*o(w). Determine p(t(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -518774, -2075104, -4668990, -8300432, -12969430, -18675984, -25420094?\n\"Answer: -518778*z**2 + 4*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4566 - -6345. Do v and 1784 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.9 and 2354851.\nAnswer: -30377577.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319897 is divided by 52795.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 39962.93l?\nAnswer: 39962930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 6 - 2. Suppose k*t + 5*u = 2*u + 71, -4*t - 4*u + 72 = 0. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -12. Suppose -2*u + v*p + 87 = 0, -77 = -2*u - 0*p + 3*p. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1209*q**2 + 65*q + 923. Let k = 74 + -9. Let d(j) = 110*j**2 - 6*j - 84. Let y(r) = k*d(r) + 6*w(r). What is the derivative of y(p) wrt p?\nAnswer: -208*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00319401209 rounded to five decimal places?\nAnswer: 0.00319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 430a7 (base 16) to base 7\nAnswer: 2222403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from byyqqybyyyyqbyqbb.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4121\/106 - -126\/53. Let w(q) = -q**2 + 2*q + 4. Let t be w(3). What is the common denominator of (-2 + t)\/((-21)\/27) and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 10*o**2 - 11*o + 35. Determine h(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 880*d + 7014 - 530 = -7596 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18833947 a multiple of 774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*i - 42 - 20. Solve -3*t + i*w + 3 = 0, -2*t + 0*w + 15 = 3*w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-130) - 2696\/(-52). Is f at least as big as 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 11:38 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2343, -19, -10, -1 in descending order.\nAnswer: 2343, -1, -10, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 91*k - 618. What is the remainder when 330 is divided by v(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-206 - -203 - (-50 + 0)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 9*j - 10. Let b be q(6). Let w = 775737 + 138263. Suppose b*m = 6*m + w. Round m to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.99511775 to three decimal places.\nAnswer: -1.995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 329 - 368 - (0 + -40)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**3))**(-1\/3) assuming y is positive.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -13*k + 3. Let d(s) = -7*s + 1. Suppose 0*c + 4*c = p + 3, -5*c = -3*p + 5. Let j(n) = c*z(n) - 5*d(n). Calculate j(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 2*d - 5 + 7 + 9 + 6.\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + 1*sqrt(112) + ((-1 + sqrt(112))**2 - sqrt(112)) + 0 + sqrt(112) + (sqrt(112)*2*4 - 2*sqrt(112)*2)**2).\nAnswer: -4*sqrt(7) + 1907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1839.191 and -0.1?\nAnswer: 183.9191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**3 + 0*j + 1 + 0*j**2 + 3\/4*j**4. Find the third derivative of g(d) wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 912152, 912172, 912202, 912248, 912316, 912412, 912542, 912712?\n\"Answer: s**3 - s**2 + 16*s + 912136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-504) + -2 + (-115)\/(-60).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 11581f25?\nAnswer: 11581f23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -22.7. Let t = f + 1.283. Round t to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 61 - 61 = -30*d. Factor 15\/2*j**3 + 3 + 3\/2*j**4 + 21\/2*j + 27\/2*j**d.\nAnswer: 3*(j + 1)**3*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z + 6. Let h be w(5). Let y be (6\/40)\/(18\/h). Let k = 0.1 + 0.1. What is the biggest value in -2\/7, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2 = f, -3*b = -f - 59 + 63 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 62 + -65 + 1 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -62584798 + 7?\nAnswer: -62584791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -9. Suppose -p*l = 11 - 51. What is the common denominator of -71\/22 and (-51)\/l + -3 - 1?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 7 + 23 = 0. What is the common denominator of (2\/(-16))\/((-10)\/475) and 878\/(-60) - 2\/l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-10) + (-6)\/(-4)*146\/(-365).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 640 and 3886840.\nAnswer: 62189440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/3 - 2261918*r**3\/3 + 4523828*r**2\/3 = 0 for r.\nAnswer: 0, 2, 1130957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113.34 + 117.4815. Let d = -4.05 + j. Round d to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(9*f**2 - 20*f**2 + 7*f**2)*(-4 - 6*f + 4)*(-8 + 14*f**2 + 10*f**2 - 25*f**2).\nAnswer: -24*f**5 - 192*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2301666 - -3436805. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 2\/9, 2, 1\/2, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*x + 349 - 713 = 1361 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 80740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 * -3327.343\nAnswer: -43255.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9717972 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 191 and 420566.\nAnswer: 80328106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 6348\/480)\/((-6)\/10).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**4*z**2 + 27110*s**2*z - 65937*s*z**2 wrt s?\nAnswer: -12*s**2*z**2 + 54220*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 8) in base 15?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bss when three letters picked without replacement from ssssssssssssssssbsss?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45788782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-6)*3)\/1. What is the first derivative of 1 - 2 - k + 6*n wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5490 and 1636020.\nAnswer: 1636020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 455\/291?\nAnswer: 455\/291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*k - 9 - 36, -4*o = -2*k - 198. What is the tens digit of o\/20*28\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -265 (b) 5 (c) -0.4 (d) -0.04 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 + -11)*(33\/(-6) - 0). Let g(w) = -w**3 + 14*w**2 - 34*w + 11. Let i be g(s). Solve 6*f = 4*f - 2*d + 8, i = -f + 4*d - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 12. Let n be y(10). Solve 3 = -n*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5\/16 (b) 2 (c) -2\/15 (d) 4 (e) -2\/7 (f) 0.4877 (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**5 - 570*y**4 + 2190*y**3 + 1160*y**2 - 6555*y - 4950 = 0.\nAnswer: -1, 3, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 10 = 0, -5*i = 2*m - 17 + 4228. Let k = -190 - i. Suppose -8*o + k = -555. What are the prime factors of o?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3 - 6) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176 + -160 + -13 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -901?\nAnswer: -901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*x - 4 + 1 - 1 - 2*x + (-1 - 1 + 0)*(0*x + x + 0*x) - 1 + 2*x + 1 - x + 2 - 2 + (-3*x + 6*x - x)*(-10 + 0 - 1))*(-2 + 4 - 4).\nAnswer: 54*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/20105 and -47\/50.\nAnswer: 201050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20816880*n**3 - 102996977*n**2 wrt n.\nAnswer: 124901280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202623538?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 4*v**2 + 1. Let f be y(-4). Solve -3 - f = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7080320501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -11\/15*d**6 + 48 + 0*d**2 + 0*d**5 - d - 10*d**3 + 0*d**4. What is the second derivative of u(s) wrt s?\nAnswer: -264*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146 + -88. Let b = -39 + t. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*j**3 - 2*j**2 - j**3 + 12*j**3 - j**3 wrt j?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 298840, 4\/21 in descending order.\nAnswer: 298840, 4\/21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1118)\/2236)\/((-10)\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*r + 291 - 383 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (456\/(-1216))\/((-810)\/(-160)*-3)\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 6 = -h, -5*h = 4*i + 4 + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (40 - (-1 - -12)) + -47\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 6. Let t = -0.1 - -0.1. Sort r, t, 2\/11 in increasing order.\nAnswer: t, 2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 7478?\nAnswer: -1\/3739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/3 - 107648872*j\/3 - 1448534955359048\/3 = 0.\nAnswer: -26912218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 6 (b) -1 (c) 0 (d) 2.65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*v - 1016 = -292, 3*a - 2232 = -3*v. Calculate the remainder when a is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*f**3 + 70*f**3 + 63*f**3 - 318*f**3 + 60*f**3 + 58*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75*z**4 - z - 6?\nAnswer: -300*z**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 8, t: 4, m: 1}. What is prob of sequence qq?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6669 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.58 + -0.02. Let j = w + -2.4. Put 0.5, -5, j in increasing order.\nAnswer: -5, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 1832\nAnswer: 11\/1832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.2 (c) -5 (d) -593 (e) -0.5 (f) 311 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(1\/(1 - 2)). Suppose -2*y + 19 = v, b = -y + 3*y - 4*v - 34. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + s**2 - s - 13. Let a be y(5). Let g = 30 - 10. Suppose 16*m + a = g*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 34 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 51, 72, 91?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzk when three letters picked without replacement from kkkzkzk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22, 472, 966, 1460, 1954?\n\"Answer: 494*g - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492*z + 10247041*z**2 - 492*z - 10247030*z**2.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50161.\nAnswer: 103, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1. Let i(j) be the first derivative of -5*j**2 + 14*j + 2439. Determine -i(d) + 12*k(d).\nAnswer: 10*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3048805, 6097610, 9146415, 12195220, 15244025?\n\"Answer: 3048805*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 3*k**4 + 0*k**4 + 2*k**4 - 3*k**4 + k - k + 2*k**4 + 2*k**4 + k**4 - 5*k**4 + (2*k**4 + 0*k**4 + 0*k**4)*(5 + 0 - 3) + 4*k**4 + 0 + 0.\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 6:41 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1326404*w**4 - 1276044*w?\nAnswer: -15916848*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 22 - (136 + -142).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7810 is divided by 184?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2\/5 (c) 15\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 261155?\nAnswer: 261145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*j - 24. Let t(h) = -2*h + 3. Let k = 40 - 56. Let u(q) = 10*q - 16. Determine j*u(i) + k*t(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/(-8) + (-2)\/8. Let q = -1 - 3. Let o = 1 - q. Solve -o = h*g - 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15355, -30721, -46091, -61465, -76843, -92225?\nAnswer: -107611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-10) + 676\/(-260).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/171 and 119\/9614.\nAnswer: 86526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4.5. Sort 0, h, 12\/13 in decreasing order.\nAnswer: 12\/13, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uduook. What is prob of picking 1 k and 1 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108436621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 170*v**2 + 10*v - 30. Does 10 divide w(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 9*o**2 - 22*o - 13. Calculate d(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**4 + 0*m**4 + 2*m**4)*(-245 - 238 + 471 + m) + m**5 + 4*m**5 - 2*m**5 + (-m**4 + m**2 - m**2)*(-1 - m + 1) - 2*m**5 + 3*m**5 - 3*m**5.\nAnswer: m**5 + 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11711?\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29\/6, -3\/4, 8.3585 in descending order.\nAnswer: 8.3585, -3\/4, -29\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8990160.\nAnswer: 2, 3, 5, 47, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -727*p - 674*p - 584*p + 513*p to the form m + v*p and give v.\nAnswer: -1472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22695 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1712726 is divided by 542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -5. Let c = 10 - -7. Let u = c + h. What is the smallest value in 0.3, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6*6)\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 16 = 3*w. Let c = 379\/6 + -4939\/78. What is the closest to w in -0.4, -2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 15596*r**2 - 76*r + 17. Is a(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2496 and 416.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -200 + 385. Suppose 3*r - 123 = -3*i, 0 = 4*r - i - 2*i - x. What is the highest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -743191.95?\nAnswer: 743189.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 76 - 4 = -4*x, 5*z - 95 = -5*x. Let h(m) = -m**3 + 20*m**2 + 21*m + 15. Let y be h(21). What is the highest common divisor of y and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + 1.5. Which is the biggest value? (a) q (b) 2\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3040 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f - 12 = 0. Suppose 5*z - 3*n = 267, -z - 3*n + 5*n + 59 = 0. What is the highest common divisor of z and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*o - 0. Solve o*w - 16 = 4*s, -3*w = -5*w - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/558 and 25\/12.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 127*h = -123*h - 36, -5*d = 2*h - 25 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 3. Let v = 2184 + -2197.81. Let g = -8.81 - v. What is the second biggest value in n, 0.3, -4, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 52 - 3*b**3 - 27 - 24. Let m(c) = -c + 4. Let g be m(3). Calculate n(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from vvdddd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16483 divide 7101360491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkod when four letters picked without replacement from dddodkdkodkkdkokdokk?\nAnswer: 224\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3035991\/5 or 607199?\nAnswer: 607199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 64*r - 1. Let z be a(1). Let x = 5470 + -5428. Calculate the greatest common divisor of x and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 14*l + 588. Let u be s(-42). Sort -5, 684, u.\nAnswer: -5, u, 684","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 6:38 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15261506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a factor of 178673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4930116406 + 4930115950.00000904. Let g = h + 456. What is g rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -55, 0.4, -4\/9 in decreasing order.\nAnswer: 12, 0.4, -4\/9, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -441, -1197, -2229, -3507, -5001?\nAnswer: -6681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2251.676 weeks to seconds.\nAnswer: 1361813644.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 + -1.6. Let l = 0.12 - 5.12. Which is the nearest to 0? (a) l (b) 2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -181, -365, -623, -955, -1361?\nAnswer: -1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = y - 17, -8*q = y - 10*q + 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11110 (base 2) to base 6\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/256 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 25*t + 2. Give h(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*t**2\/5 - 4662*t\/5 + 72896\/5.\nAnswer: 2*(t - 17)*(11*t - 2144)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(3840) - sqrt(3840)*1)*-2)\/(sqrt(120)\/(sqrt(90)*-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(-1)\/((-3)\/(-4)). What are the prime factors of u\/(-1)*35\/(-14)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2721, 2725, 2731, 2739, 2749, 2761?\n\"Answer: f**2 + f + 2719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -35890 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (8 + -6)) + (-15 - -18)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 o when three letters picked without replacement from aoaooaaoaaoo?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-84)\/24 + (-1)\/2. Let r be 2*1\/(-4)*-2. Sort 0, t, r, -3.\nAnswer: t, -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -19, -32, -41, -40?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26680 and 71050?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/1392*294\/(-1383) and 101\/6?\nAnswer: 5532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (375\/(-80) + 6)*2 + -2. Sort -1\/2, 2\/7, h, 1\/2.\nAnswer: -1\/2, 2\/7, 1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/5 and -65\/128?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 406, 816, 1228, 1642?\n\"Answer: j**2 + 407*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(441))\/(sqrt(21)\/(2*sqrt(3))))**2 - 4*(sqrt(2268) - (-4 + sqrt(2268) + sqrt(2268)))**2.\nAnswer: -8128 + 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 219*k**2*w**2 - 86377*k**2 + 17*k + 2512*w**4 with respect to w.\nAnswer: 438*k**2*w + 10048*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 + 4*w**2 + w - 2. Let j = -39 - -63. Suppose 8 - j = -4*q. Suppose 2*x - 14 = 3*m, -4 = -4*m - q*x + 4. Calculate n(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34687993?\nAnswer: 34687993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -940 - 277265?\nAnswer: -277ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79.77 + 79. Let b = r + 0.46. Let t = -1.09 + b. Round t to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41191 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1647346887.\nAnswer: 3, 409, 447527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47852 is divided by 677.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 3, 49, 137, 279?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69655\/17772 - 4\/1481. Suppose 3*b = 0, -4*o + 2*b - 137 = -5. What is the common denominator of q and 4\/(2 + 48\/o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001328 to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 t, and 1 x when three letters picked without replacement from kkbgjgjktgktgx.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003088 (base 9) in base 12?\nAnswer: -218a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 17. Let d be (1\/b)\/(3\/18). Suppose d*i - 2 = i. Solve 0 = 3*o + i*o + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 116\/(-145) + 384\/80\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcck when four letters picked without replacement from {b: 3, m: 1, g: 2, c: 2, k: 4, a: 2}.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 17*u**2 + 12*u + 15. Suppose 4*j = 5*r + 44, 3*r + 75 = 2844*j - 2847*j. Give y(r).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7343, -5077, -1295, 4009, 10841?\nAnswer: 19207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 53*d = -15*d - 645 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7b (base 15) to base 6\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 11*v + 22. Let h be c(-10). Let f be h\/24*(-6)\/(-7). What is the derivative of -6*d**4 - 6 - 6*d**f + 20*d**4 wrt d?\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**3\/6 - 11*o**2\/2 - 8*o. Let b be j(-14). Suppose 0 = b*r - 0*r - 168. Calculate the greatest common factor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3150 = -28*r + 35*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - (-100)\/12 - (-2)\/3. What is the second derivative of 8*d**4 + 5*d**q - 13*d**4 - 19*d - 14*d**5 wrt d?\nAnswer: -280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*v + 131*v = 315*v + 176 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/7))**46\/((t\/(t**(10\/11)\/t))\/(t\/t**(-2\/25))) assuming t is positive.\nAnswer: t**(12629\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 1, 4\/7.\nAnswer: 4\/7, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 9 = 0, 9 = 771*a - 773*a - y for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12 and 4182486.\nAnswer: 4182498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/72 and -29\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 95 + 1\/3*j**3 + 0*j + 11*j**2. Factor b(k).\nAnswer: k*(k + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 2*l**2 - 10*l + 1. Give y(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3 (b) -4 (c) -2\/3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(23655\/(-217626)).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a6 + 2730?\nAnswer: 2557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 11 = 2*a, 3*a - 5*m - 18 = -2*m. What is the second derivative of 26574 + 16*t**5 + 0*t**4 + 24*t - 26571 + a*t**4 wrt t?\nAnswer: 320*t**3 + 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 - -78. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/17)\/m)\/m**(-2\/25) assuming m is positive.\nAnswer: m**(-16\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133 + 189. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 43*d - 267. Let i be a(36). Calculate the greatest common divisor of i and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18045*v**2 + 1905 - 1905.\nAnswer: -18045*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 177 and 41654.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 + 1377*n**3 - 780435*n**2 + 107158707*n - 4622393628.\nAnswer: 3*(n - 123)**3*(n + 828)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 10) to base 11.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-4)*(-1050)\/1925.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**4\/20 + 693*j**3\/5 - 1440747*j**2\/10 - 4037*j. Factor l(o).\nAnswer: -3*(o - 693)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - 448516\/2838*6\/(-336). Let g = a - 1\/1419. Calculate the common denominator of g and 121\/6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -942?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9691 and 68718?\nAnswer: 755898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 32 = 42. Suppose -47 = v*j - 167. Solve j = 4*c - 8*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 9. Let x = 137 - 130. Let b(l) = 2*l - 13. Give x*i(s) - 5*b(s).\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - h + 4*h - 100 = 0, 0 = 4*z - 4*h - 336. Suppose 8*c - 4*c - z = 0. Suppose -3*f + 35 = -c. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + 62?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 1:56 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176754.\nAnswer: 2, 3, 89, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*l = 39, -2*a - l + 35 = 3*a. Let n be 24\/9 - a\/9. Let u = n + 1. Solve -m + 1 = 3*r, -5*m = -2*r - u*m - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 divided by -24.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-15))\/((-11)\/132))\/(26\/(-260))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -414689 * 13.\nAnswer: -5390957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14, -13, -10, -5, 2, 11?\n\"Answer: m**2 - 2*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1338*k**2 + 2663*k**2 - 1328*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(98))*4 - (5 + (sqrt(98) - (3 + sqrt(98)))**2).\nAnswer: -30 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**10*s**(2\/3)*(s*s\/(s\/s**(-1\/2)))\/s**22)**(-23) assuming s is positive.\nAnswer: s**(1357\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k**2 + 27*k**2 - 12*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-2*sqrt(77))\/sqrt(7) - sqrt(11) - (sqrt(22) + (sqrt(22) - -1*sqrt(22)))\/sqrt(2)))**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26390576422 + -12.6?\nAnswer: 26390576409.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 3\/((-13)\/(117\/(-12))). What is the third smallest value in 0.3, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 471 - 684 = -3*a, 2*o - 87 = -8*a + 5*a for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152 - -154. Let a be (-9)\/(2\/(6\/(-3))). Let c be (-8)\/(48\/a)*m. Is -13\/5 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/811416 and -13\/498.\nAnswer: 67347528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/126*(-56)\/(-6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 335*o**4 - 2*o**2 - 9 wrt o.\nAnswer: 8040*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 135 = -20*a. Suppose -16 = 3*o - 5*d - 1, 0 = -o - 3*d + a. Solve 2*b + 10 = 5*k, k + o*b + 2*b - 14 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4118)\/(-71))\/(((-8)\/(-6))\/(156\/117))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210771 is divided by 70253.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.19, -1009 in ascending order.\nAnswer: -1009, -0.2, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 93*w + 1261. Let k be u(-105). Let h = -4.19 - -0.49. Which is the third smallest value? (a) -4 (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20245 - 444?\nAnswer: 16501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -62672 (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (125\/10)\/((-1)\/(-2)) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 0) + (-111 + 33 - -69) + 49\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 658193 and 6697.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/32 and 61\/26644.\nAnswer: 213152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 66*(136\/16)\/17. Solve 4*a - u + 13 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 4:08 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -18. Let s(q) = -q**3 + 2*q + 0*q**2 + 5*q**2 + 2*q**3. Let p be s(-3). Solve -t*a + p = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.517 - -0.617. Let f = 901\/7 + -129. Which is the closest to d? (a) 0.3 (b) 1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzjjppajaajjaj. Give prob of picking 1 z and 3 j.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, -2\/5, -0.5, 25, -5, -2\/15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/11)\/l*l*l**(7\/2)*l*(l\/(l\/(l**(-1\/4)*l))*l)**5 assuming l is positive.\nAnswer: l**(599\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.2, -18, -1.9 in decreasing order.\nAnswer: 4, -0.2, -1.9, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31\/69, -2\/3, -1\/2, 3\/7, 8, 1 in increasing order.\nAnswer: -2\/3, -1\/2, 3\/7, 31\/69, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -31\/3, -2, -4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010101001101 + 101010100?\nAnswer: -10000001111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = 6*q - 10*q. Let c(g) = -88*g + 43*g + q*g. Let t(d) be the second derivative of -d**4\/3 + d. Calculate c(t(w)).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78368241*k**2 + 750734*k + 3?\nAnswer: 156736482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19612245.\nAnswer: 3, 5, 1307483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 0 - 3 + 5 + 3*w. What is b(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 15*x + 48. Give q(-17).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394138878?\nAnswer: 2, 3, 7, 9384259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + b - 10 = 0, -5*b = -0*b - 5. Suppose -q*y = a + 2 - 1, 4*y + 5 = -5*a. Sort 3, 1, a.\nAnswer: a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/159840 and 187\/159840?\nAnswer: 159840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -163*n**3 + 2*n**2 - 2*n + 21. Let g(x) = 75*x**3 - x**2 + x - 10. Let u(y) = 13*g(y) + 6*k(y). Let m(i) = i**3 + i + 1. Give -2*m(r) - u(r).\nAnswer: r**3 + r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2. Let k(a) = -4*a**2 + 31*a. Give i(k(n)).\nAnswer: 16*n**4 - 248*n**3 + 961*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 504 - 324. What is the greatest common divisor of 36 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4752\/5544*(-14)\/4)\/((-1)\/46).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -s - 13, 17 + 0 = b - 4*s. Suppose -5*r - b*h = -440, 0*r = 4*r - 2*h - 346. Let n = -71 + r. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 2007.\nAnswer: -4\/669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/(-16) - 6 - 4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142154 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 126969, -3, -7, -0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8246, -8250, -8256, -8264, -8274?\nAnswer: -8286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 13*z + 3 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -4)*(4 - 2). Suppose -o*b = -2*b - 6. Let h be b*(1 + -4 - -4). Calculate the highest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2 + 38*w - 18. Let s be o(12). Suppose s*g - g = 0. Which is the closest to 4? (a) -4\/5 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/624102 and -31\/167442.\nAnswer: 6865122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -3) + (-1056)\/143*1\/3.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -753*(-2 + (-1)\/3 + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -2\/5 (c) 2 (d) -0.072 (e) -5 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -692 + 234 + 227 + 232 + 79*z in the form h + p*z and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-125)\/(-2250)*(-2 + 4)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = 0, -3*r = 3*y - 11 + 8. Suppose f - 10 = -1. Let h be 30\/f*(-132)\/(-10). What is the highest common divisor of h and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 0*f**2 + 0*f**2)*(-81*f + 208*f - 506*f).\nAnswer: 758*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(80\/(-24) + 8\/6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-9)\/v**(-3)*v\/v**(-10)*v\/(v\/v**10) assuming v is positive.\nAnswer: v**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.5 - 4.5. Let r = k - -20.8. Let x = -0.2 - r. Which is the third biggest value? (a) -1 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c**1*c))\/c))\/c)**(-16\/3)*((c\/c**(2\/7))\/c)\/(c*(c\/(c**(-5)\/c)*c)\/c) assuming c is positive.\nAnswer: c**(-398\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 19. Let f be q(24). Sort -2, f, 1\/3.\nAnswer: -2, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.385706+-3\nAnswer: 7.385706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, e: 1, y: 1}. Give prob of sequence eypp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2, 1\/4, 4\/9, 2 in increasing order.\nAnswer: -2, 1\/4, 4\/9, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*f - 64 = 0, -c = c + 5*f - 53. Which is bigger: c or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.7 - 18.7. Let y = -10 - x. Let h = 3.76 + 0.24. Sort h, -0.5, y, 10 in ascending order.\nAnswer: -0.5, h, y, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 206*j**2 + 101. Let s(n) = -4562*n - 1. Determine s(l(w)).\nAnswer: -939772*w**2 - 460763","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 13*c**2\/2 - 8. Let g be a(1). Let p = 28 - g. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, n: 14}. What is prob of picking 3 i?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220)\/550*(12\/40)\/(-3).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18353125 divided by 5.\nAnswer: -3670625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1 - 1 + 105*k - 104*k. Let z(f) = f**2 - 3*f - 3. Let x(b) = b**2 - 4*b - 4. Let o(g) = 3*x(g) - 4*z(g). Give o(h(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 + -84. Find the third derivative of -13*b**6 + 3*b**m + 3*b**2 + 6*b**2 - b**2 wrt b.\nAnswer: -1560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402042 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 837 and 2139?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*h - 301 = -227*h. Let l = 9.91 - -0.09. Let d = l + -10.3. Which is the third biggest value? (a) h (b) d (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -28*g - 27 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*((-3)\/(-8) + 1\/8). Which is the fourth smallest value? (a) 3\/20 (b) 2\/3 (c) l (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + (sqrt(832) - (-1 + sqrt(832)*-4)) - (5 + -3 + sqrt(832)))**2 + -4 + 3)*4.\nAnswer: -320*sqrt(13) + 83200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 16 = -4*h, -2*s - 424*h - 15 = -421*h for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 3:40 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 138?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 9*h**3 - 7*h**2\/2 - 9*h - 130. Suppose -9 = -3*u - 5*o - 39, 5*o = -4*u - 35. Is y(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770668903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 62. Let l be u(30). Let x be 630\/(-28)*((-32)\/10)\/l. What is the highest common factor of x and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c + 13*c - 31*c = -10908. Is c < 213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -32. Let d(j) = -11*j - 6*j - w*j. Let q(p) = 2*p**2. Calculate d(q(s)).\nAnswer: -52*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630\/978*(-1971)\/(-45)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2 = 0, 2*w - 19*f - 299 = -20*f. Suppose -40*o + 625\/2*o**3 - w*o**2 - 625\/4*o**4 + 32 = 0. Calculate o.\nAnswer: -2\/5, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - (0 + -43)) + -30 + (0 - 3).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**4\/8 - 8*g**2. Let u(k) = k - 1. Let b(r) = 3*r**2 + r - 1. Let l(n) = b(n) - u(n). Calculate d(l(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 187025?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83973?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 163?\nAnswer: -162.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 11:26 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-2*6*-3)**2.\nAnswer: 128304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*4*((4*((sqrt(1088) - sqrt(1088)*2) + sqrt(1088) + -3))**2 + sqrt(1088) + 1 + sqrt(1088) + -2 + -3).\nAnswer: 1024*sqrt(17) + 8960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-5) + (-4)\/10. Suppose -149 = -o*l - m, 345 = 5*l + 4*m - 7*m. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u + 9*u - 100. Solve 3*f + u*r = -0*f + 29, f + 4*r - 19 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 5*j. Let f(z) = -5*z + 8*z + 14*z + 19*z + 6*z**2. Suppose 5*d - 3*d = 72. Give d*y(t) + 5*f(t).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 - 42*j + 7. Let r be f(14). Let x(k) = -2*k - 10. Let v be x(-7). Suppose 153 = v*s - r. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 7*l + 3. Let j be z(6). Let c(w) = 12*w**3 - 9*w**2 + 9*w - 9. Let p(n) = -3*n**3 + 2*n**2 - 2*n + 2. What is j*p(b) + 2*c(b)?\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/8 of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 15*t**2 + 44*t + 4. Calculate g(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 294 (b) -10 (c) -48 (d) -1\/5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 645937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oomm when four letters picked without replacement from mmoooomo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5972229 is divided by 4019.\nAnswer: 4014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = 1. Suppose -4 = 2*d + r. Let b(k) = -k**3 - 4*k**2 - 3*k + 3. What is the units digit of b(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -16 (b) -4 (c) 716 (d) 2 (e) -0.7 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.83 + -0.03. Let w = t + -0.3. Let l = 2.8 - -0.2. Which is the third smallest value? (a) l (b) -4\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2.4. Let g = p + -4.6. Let l = -3 - g. Which is the smallest value? (a) -2 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 4 - -6 - 5) + 124\/(-4)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 4*j - 8. Let o be c(6). Let z(i) be the third derivative of i**5\/60 - 5*i**3\/6 - 9*i**2. Determine z(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -22*z - 18. Let n be x(-3). Suppose n + 24 = 12*s. What is the common denominator of ((-34)\/s)\/((-200)\/(-90)) and -7\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from {d: 3, u: 4, o: 1, q: 2, e: 2, l: 3}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, 37, 178, 375, 628, 937, 1302?\nAnswer: 1723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2*o**2 - g**2*o - 3*g**2*s**2 + g**2*s - 1205*o**2*s**2 + 2*o**2*s - 72*o**2 + 6161*o*s - 2*o - 2*s**2 wrt o?\nAnswer: 4*g**2 - 2410*s**2 + 4*s - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -227 - 346. Let z = -95 - f. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 324 + -323.96. Which is the closest to -0.045? (a) h (b) -3\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -15*c. Let n(s) be the second derivative of -32*s - 1\/2*s**4 + 0*s**3 + 0*s**2 + 0. What is n(k(i))?\nAnswer: -1350*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3110, 12444, 27998, 49772, 77766, 111980, 152414?\n\"Answer: 3110*t**2 + 4*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -975*f**2 - 46*f*v + 21*v + 22332 wrt f.\nAnswer: -1950*f - 46*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 55*s - 1760. Let t be n(32). Let a = -4 + 7. Suppose l - 4*r = -18, -a*l + r = -t*r - 1. Solve 4*y - 8 = -3*i - 4, -l*y - 3*i = -2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-885)\/708*(-2)\/(-15)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 314971.2g?\nAnswer: 314971200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -589*d - 1144 = -677*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(256\/(-2472))*((-10)\/25)\/((-6)\/(-5)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -431188 - -19402534\/45. Let d = -30104\/5 - -6000. Let q = m - d. Is 0 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/10*(2 - (-2 + 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 6762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2*u + 1)*(-2 + 1 - 3) + u + 0*u + u + 3*u - 3*u - u)*(-6 - 26 - 8).\nAnswer: 280*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/(-1)*80. Suppose -13*l + 370 = 526. Let x be l\/(-15)*-1*v. Calculate the greatest common divisor of x and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 60472488.\nAnswer: 60472488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-384)\/1098 - (-1)\/3. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 613*f + 1983. Does 9 divide m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -52, -60482, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -193 - -194. Put -4, 53, -3, l in ascending order.\nAnswer: -4, -3, l, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 8*v**3\/3 - 51*v + 3. Let h(a) = a**2. Determine h(x(n)).\nAnswer: 256*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/1132376 and 101\/58600458.\nAnswer: 234401832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 2*g. Let f = -8 - -3. Let d = 3 + f. What is the remainder when r(d) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22.1 - -22. What is the nearest to x in -2\/7, -4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 192 + 30, 0 = 4*a - 6*j + 332 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1306848 and 384?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2530450 divided by -2530450.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c + 4429 + 4243 = 0. Let l = -268 + c. What is the closest to 2\/9 in l, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-247578)\/(-14) - -2 - (-1)\/(-7). What is the thousands digit of 2 + b\/12 - (-39)\/234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -189780066.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y + 2 - 7 + 5.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s + 7. Let c(i) = -9*i - 10. Calculate 5*c(v) + 7*w(v).\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 6237?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*q + 84*q + 140 = 60*q. Sort 681, q, -4, 0.\nAnswer: -4, 0, q, 681","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 9*o + 40. Let n be f(-3). Suppose 0 = n*z - y + 100, 5*y + 35 = -5*z - 115. Put z, 0.4, -2\/11, 5 in descending order.\nAnswer: 5, 0.4, -2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/87? (a) -103 (b) 2 (c) 4 (d) 5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 3310132133?\nAnswer: 3310132123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.041797.\nAnswer: -0.167188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -10. Let y(n) = 6*n**2 - 3*n - 15. List the prime factors of y(q).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, l: 2, r: 1}. Give prob of picking 1 r, 1 c, and 1 l.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/((-3)\/16). Let i be 15\/4 - (-2)\/w. Suppose -i*m - 16 = 0, -2*m + 8 = -2*l - 7*m. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*k - 327*k = 74. Solve -16*r = -k*r - 70 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -1) + 0 - (6 + 6). Let t = -8 - a. Let g(x) = 15*x**3 - 2*x**2 - 2. Is g(t) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 22 = 174. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2044489885?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 + -17 - 13) + (13 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3093239343?\nAnswer: 3, 1031079781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*q**3 - 4*q**2 - 4 + 4903*q + 2*q**2 - 4903*q in the form m*q**3 + b*q**2 + g*q + o and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 divided by -5317615?\nAnswer: 96\/5317615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 105*q**2 - 1310*q + 21. What is b(13)?\nAnswer: -1461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 2298481?\nAnswer: 2298481.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552900 (base 10) in base 11?\nAnswer: 970798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 7. Let g be -9 - (-30 - -5)\/5. Let p(k) = k + 7. Let c(u) = g*w(u) - 3*p(u). Is 12 a factor of c(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.033 + 0.132. What is f rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142060 rounded to the nearest one thousand?\nAnswer: -142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.0479 and 0.4.\nAnswer: -2.41916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-71)\/(-142))\/((-2)\/10)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -196939*y**2 + 4*y - 12. Let v be b(14). What is v rounded to the nearest 1000000?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(1*(-4)\/(-4)))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 5*i**2 - 4*i. Let k be q(-4). Let r be (1 + k)\/(1\/2). Is 1 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/7, -0.4, 155, 0, 38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 7*j**2 + 9*j - 7. Determine b(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21708.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 96 = -456. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*f - 7 = 3, 0 = f + 5. Let s = -1.88 + 1.8. Let h = 170 + -171. What is the nearest to h in s, 2\/7, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 261 in 6, -2, 1\/13, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -43 (b) 0.4 (c) 7179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -555 - -549. Let m(h) = -195*h + 109. Let k(b) = -193*b + 111. Let o(x) = u*k(x) + 5*m(x). Differentiate o(n) wrt n.\nAnswer: 183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/((-7)\/2) - 12278. Let n = 24095 + q. Let t = -236403\/20 + n. What is the common denominator of 13\/14 and t?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6087 + 6088. Sort 7, u, -5, 27 in ascending order.\nAnswer: -5, u, 7, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 - -316. Suppose a + 74 = 4*f. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + k - 163. Suppose 0 = 7*q - 2*q. Let w be i(q). Round w to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16235500.\nAnswer: 2, 5, 19, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 11:38 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + 229*i**2 - 105*i - 1013. Give m(114).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 37, 4, 1, -2\/35.\nAnswer: -1\/4, -2\/35, 1, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((6*(sqrt(15) - (sqrt(135)\/sqrt(9) - sqrt(15)) - sqrt(15)))\/sqrt(5))**2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -45562630, -45562620, -45562588, -45562522, -45562410?\n\"Answer: 2*h**3 - h**2 - h - 45562630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 3*h**2 + 2*h**2)*(1 + 673*h - 931*h - 1).\nAnswer: 258*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1070207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from pzpseexzzeezpxze?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6084\/65 + ((-32)\/20 - -1). Suppose -3*k - 54 = -63. Calculate the highest common divisor of s and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 70*a**3 + a**2 + a. Let g be d(-1). Let y = g - -70. Solve 0*l - 4*l + 4 = y, 0 = -2*z + l + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (0 + sqrt(112)))*5 + -5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20821, 20818, 20815?\nAnswer: 20812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4\/7, -2\/5 in ascending order.\nAnswer: -4\/7, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 6 (c) -3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 117*h + 889042 = 59*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 62. Suppose 0 = 2*i + v, -3*x - i + 16 = -48. Suppose -22*q = -x*q. Solve q = -y - 1, -s + 3*y + y + 1 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2559 < -97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*4\/6*-6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 22 + -3 + 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 402784 divided by 328\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = 0, -5*b + 0*b + 4*z + 27 = 0. Suppose -56 = -f - 3*r, -197 = -2*f - 2*f - b*r. List the prime factors of f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28618 and 2.\nAnswer: 28618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 135104 + 4516?\nAnswer: 140621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -55421 + 2*z**4 - 86*z - z**2 + 55421 in the form h*z**4 + f + d*z**3 + l*z**2 + p*z and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(95)\/sqrt(5))**2.\nAnswer: 6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 202 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 s, and 1 y when four letters picked without replacement from {y: 8, h: 7, s: 1, k: 4}?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1561 + 1561.4. Let n = 0.52 - -3.48. Sort 0, -4\/7, x, n in descending order.\nAnswer: n, x, 0, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x**2. Let v(s) = -s**3 - 3*s**2 - 3*s. Let h be v(-2). Let p(o) = 71*o - 71*o - h*o**2. Determine u(p(t)).\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -657 - 0.\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -816, -530, -266, -30, 172, 334, 450?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4870257 and 2352?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(13) + -2 + sqrt(26)\/(1*sqrt(2)) + 0)*-5.\nAnswer: -10*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 27 = -9*v. Solve c - v*z = 4, -c - 18 + 6 = 2*z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + w + 10. Let i be j(0). Suppose h = 3*s + 6, 2*h = h - 5*s - i. Let m be 12\/1 - (-1)\/((-1)\/4). Solve h - m = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23372 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10055076838 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -25966.\nAnswer: 25961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15475 is divided by 231?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + 10 - 9) + 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1955 = 5*j, 2*j + 1588 = 31*n - 27*n. What is the remainder when n is divided by 97?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8716 - -8716.04835. What is the biggest value in q, -4, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 313. Let j be i(0). Suppose -2*w + j = 3*o, -w = 4*o + o - 517. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/9, -2\/9, 0.039, 4, 11, 1.8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 14*z**5\/9 + 2*z**4 - 38*z**3\/9 - 26*z**2\/9 + 8*z\/3 + 8\/9 = 0.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x + 244*x = -223*x - 10450. Put 3, x, -42 in decreasing order.\nAnswer: 3, x, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41184?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 3:50 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - ((-2)\/2 + 2). Is x + 0 + 3 - -142 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, n: 2, x: 2, b: 3}. What is prob of sequence bb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3020 + 31?\nAnswer: -2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 7. Let h = -0.13 - -8.13. Let z = 11 - h. What is the closest to -0.2 in 4\/3, l, z?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2*14 - 3)*(-6)\/(-15). Calculate the common denominator of 67\/4 and (500\/24 + 5 + 4)\/x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-9 - (1 + -3 + -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 29352*r**2 + 2732580*r - 64007984.\nAnswer: 4*(r - 7244)*(r - 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -105.\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057969?\nAnswer: 11, 96179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*y + 909 = 0, -4*t + 254 + 454 = 4*y. Suppose -4*r = r - t. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1925 and 5335.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 11:09 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27351296 divided by -2?\nAnswer: -13675648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4884)\/1110*(-5)\/(-4)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 428462 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 62745, 62765, 62785?\n\"Answer: 20*q + 62725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 6*n = -976. Let v = n - -403\/2. Calculate the common denominator of (4 + (-93)\/9)\/(1\/(-4)) and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 6*y - 20 - y + 8*y + y.\nAnswer: 4*y - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwcwcwfcwwfaf. What is prob of picking 1 f and 2 w?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2*n + 5*n = 42, 1951*n - 24 = -4*j + 1949*n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2018 is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -169*z - 254. List the prime factors of k(-7).\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 868*s + 1753. Calculate t(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 2. Let v(g) = 5*g - g - 3*g - 3*g**3 + 1 - g**2. Suppose 2*f + 1 = 5, 0 = -l + 3*f - 7. Let i be v(l). Calculate h(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2 + -1*sqrt(28)\/sqrt(4))**2 + 5*(sqrt(56)*-1 + sqrt(56))\/sqrt(8))*5.\nAnswer: 120*sqrt(7) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2 + 27*j - 2973. Determine n(24).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 49990*g = 49993*g - 115, 2*g = 5*v + 45 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, t: 4, x: 4}. Give prob of sequence axa.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -24832?\nAnswer: -24835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -4 (c) -2 (d) -1397\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2268))*4 + (sqrt(343) + sqrt(343) + 1)**2 + sqrt(7) + ((sqrt(56) - sqrt(56)*-2)\/sqrt(8))**2.\nAnswer: 101*sqrt(7) + 1432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 9698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -61*v + 2762. What is the remainder when m(41) is divided by 248?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*8616227\nAnswer: -2584868.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 5447502.\nAnswer: 27237510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1293 + -2.\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(123 - -3))\/(10 + (-745)\/75).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*n + 3*n**3 + 271*n - 49*n - 76*n - 71*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2394*u + 190. Let m(c) be the third derivative of 19*c**4\/12 + c**3\/2 - 52*c**2. Let p(h) = 3*j(h) - 190*m(h). Let k(f) = -3*f**2. Calculate p(k(y)).\nAnswer: 114*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(363) - (3*(0 + sqrt(363)) + sqrt(363))) + 0)**2 - ((sqrt(363) - (sqrt(363) + -2 + 4)) + 3)*5.\nAnswer: 16330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*a - 20 = 0, 0 = 5*f - 3*f + a + 4. Suppose w - 1 - 9 = f. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.6929 rounded to one decimal place?\nAnswer: -64.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3058)\/(-1668) - (-2 + (-10)\/(-4)))\/(-3).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u - 5*u + 77*u**3 + 5*u**3.\nAnswer: 82*u**3 - 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c + -43b9?\nAnswer: -43e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 172158 times -1557?\nAnswer: -268050006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7181 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 427 - i - 5*i + 356 - 2*i + 6*i.\nAnswer: -i**2 - 2*i + 783","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvv when three letters picked without replacement from {d: 1, k: 1, v: 9}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**3 - 21*u - 7\/12*u**4 + 0 + 7\/2*u**2 - 1\/20*u**5. Determine s(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 913*d**2 - 314*d**2 - 599*d**2 + 2*d**3 + d**3 + 0*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 313 + -257. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 4*r = 11*l - 12, -4*r + 12 = 0. Let x(g) be the first derivative of 1\/3*g**3 - 2*g**2 + l*g - 4. Find the second derivative of x(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42.3 + 41.9. What is the nearest to 0 in -4, 1\/4, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54386 = 3*b - w + 3*w - 54358, 0 = -5*w + 5 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8908 by -68.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2310, 2313, 2324, 2349, 2394, 2465?\nAnswer: 2568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37549950 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1 + sqrt(847))**2 - (-2 + (sqrt(847)*-2)**2))*-5 - (5 + -1 + 5 + sqrt(847) + 3)**2.\nAnswer: -594*sqrt(7) + 11659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -642 + 371. Let s = z + 797. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 162640197*o - 186567202?\nAnswer: 162640197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.122 * 358483.\nAnswer: -43734.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*i**2 + 0*i + 3\/2*i**4 + 0 - 2*i**3.\nAnswer: i**2*(i - 1)*(3*i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/392580 and 107\/900.\nAnswer: 1962900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a + 2. Let o(n) = -6*n - 4*n - 6*n + 3 + 20*n + n. Calculate 2*o(u) - 3*p(u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 11 + 1 + 3 + 3 - 5 + 2 + 4 - 5 - 2 - 2 + 2 + (-1 + 2 + 0)*(-2 + 2 + 1) - 1 + 0 - 1 + 4 - 3 + 1)*(1 + 1 + 1)*(-56 + 37 - 4*p + 32).\nAnswer: -384*p + 1248","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 842 - 776. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-2)*2*(-10 - -4). Find the common denominator of (1\/h)\/(136\/70 - 2) and (-4)\/(-6) + 155\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 556 in 1\/3, 0.04, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1802*u**2 - 3648*u**2 - u**3 - u**3 + 1814*u**2.\nAnswer: -2*u**3 - 32*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 6, 734, -25\/3?\nAnswer: 734","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*s - 2*k + 2 = 0, -4*k = -4*s - 4. Suppose -4*r - 288 + 328 = s. Let t = 3 - -67. Calculate the least common multiple of r and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 486*y**3 - y**5 + 20 - 47 - y - y**5 - 18 wrt y.\nAnswer: -40*y**3 + 2916*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -708, -2129, -4520, -7887, -12236, -17573, -23904, -31235?\nAnswer: -39572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2886395447 to the nearest integer?\nAnswer: 53725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*q + 10, 5*z + 5*q = z + 18. Factor -b**3 + 2*b**5 + z*b**2 + 14*b**4 + 12*b**3 - 12*b - 8*b**4 - 8 - b**5.\nAnswer: (b - 1)*(b + 1)*(b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/5136648 and -63\/55.\nAnswer: 25683240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(17) + 1 + sqrt(1088).\nAnswer: 1 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1\/5*(-107355)\/(-12630).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 3. Let a be h(3). Suppose -m + p = 15 - a, 5*p - 15 = 0. Let u be m\/((45\/6)\/(-5)). Calculate the greatest common divisor of u and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141963783 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4411 is divided by 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1325 divided by -9\nAnswer: 1325\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 11) in base 13?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17074701446+1315\nAnswer: 17074702761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.755531l to millilitres.\nAnswer: 8755.531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2442 and 144.\nAnswer: 2586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 90*a**2 - 34*a + 12. Let r(l) = 8*l**2 - 3*l + 1. Let m(k) = -3*o(k) + 34*r(k). Give m(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 687300 = 178*k. What is the highest common divisor of k and 316?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u - 18. Let w be t(6). Let c = 32 + w. Let y be (1 - 4) + c\/(-1). Let i(d) = 7*d + 1. What is i(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4319*f**2 - 6*f + 2136*f**2 + 13*f + 23*f + 2181*f**2.\nAnswer: -2*f**2 + 30*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1170)\/1560)\/((-9)\/(-20))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 480*s**3 - 688*s**3 + 165*s**2 - 2 - 162*s**2 + 5 in the form q*s + f*s**3 + o + z*s**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/1*0\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (95\/35)\/((-10)\/(-70)). Suppose z*y - 20*y + 360 = 0. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/126)\/(-3*56\/11844)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3811a - -4?\nAnswer: -38116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(14\/9)*u\/(u\/(u\/(u\/u**(-17\/5))))*u*u*(u\/(u\/(u**31\/u)))\/(u\/(u\/u**(2\/37))) assuming u is positive.\nAnswer: u**(50119\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 886*q**6 + 107*q**3 + 223759*q**2 wrt q.\nAnswer: 106320*q**3 + 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 28*h**2 + 113*h - 58. What is w(-25)?\nAnswer: -1008","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 5:14 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 5*n = -40, j - 8 = -n - 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -7*q**5\/10 + 13*q**4\/6 + 11*q**3\/3 - 6298*q**2. Let d(v) = 0. Calculate v.\nAnswer: -1\/3, 11\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from ceparee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 6. Let m be w(0). Suppose -8811 = -3*v - m*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8813f + 2?\nAnswer: -8813d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 8*a + 2, 13*a = -5*b + 15*a - 29 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3\/4 (b) -0.5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 11*t**2 - 12*t + 31. Let m be o(9). Suppose 26*r = 35*r - 1071. Calculate the greatest common factor of r and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -a - 2*n + 8, -5*a = -5*n. Calculate the remainder when 26 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2384687.\nAnswer: -4\/2384687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 3 (c) 795089\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 426.01 + -426. What is the biggest value in -1, y, -12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2\/7*y**3 + 2*y**2 - 30\/7*y + 18\/7 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - 48. Suppose 8*t - x = 2*t. Solve 3*i - t*i = -3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2, -10\/7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p + 2*p**2 - 72 - 18 + 0*p**2 + 33 in the form a*p + x + f*p**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10296 + -10358 + -30 + (-4 - -3).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = 3*h - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -292208081, -292208082, -292208083?\n\"Answer: -k - 292208080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 9:41 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10886 is divided by 254?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 11. Let k be f(-7). Let l = -16 - k. Suppose 7*q - 9*q + s = -25, 0 = -2*s - 10. Solve -l*b + 7*b = q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 - 49*w - 834. Give n(27).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 7*p + 2. Let l be v(-6). Suppose l*c = 11*c. Let a(f) = -f + 3. Let n be a(3). Solve -r + 1 + n = -x, c = -5*x - r - 29 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86060 = -2*p + o, -p - 4*o + 43021 = -9*o. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277, -267, -267, -283, -321, -387?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -17718, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) + (2*sqrt(119) + sqrt(119))*-3 + sqrt(119)))\/(2*(sqrt(49)\/sqrt(7) + sqrt(7) + sqrt(7)) - sqrt(7)).\nAnswer: 8*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzyyzzy. What is prob of sequence yy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 0*z**3 - z**3)*(2 - 2 - 2*z**2 + (0 - 2*z + 0)*(3 - 3 + z) + 1 - 2*z**2 - 1 + 2*z**2 + 2*z - 2*z) + 0*z**3 - z**5 + 0*z**3.\nAnswer: 15*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33064, 33049, 33016, 32959, 32872, 32749, 32584?\n\"Answer: -h**3 - 3*h**2 + h + 33067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5 + -1.32. Let d = -0.02 - h. Let t = 0 - -2. What is the nearest to t in -3\/7, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148067022 or -148067018?\nAnswer: -148067022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 205*n**2 + 237*n + 5423. Calculate z(-204).\nAnswer: -1309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 12:57 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/((-1)\/9))\/((-24)\/56). Find the first derivative of 31*a + 40 + 22*a - l + 83 wrt a.\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -1\/5, -0.05265, -0.4?\nAnswer: -0.05265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -403, -417, -429, -439, -447?\n\"Answer: v**2 - 17*v - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -7515, 1 in ascending order.\nAnswer: -7515, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Let u be ((-10)\/(-18) + (0 - 2\/(-6)))\/((-212660)\/(-191394)). Which is the fourth smallest value? (a) u (b) -7 (c) f (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**2 - 5*k**2 + 4*k**2.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 125020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7446 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (138\/(-1058))\/(((-1392)\/69)\/8)*(-4)\/2?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - k + 33 = 0, -27 = 3*x - 4*x + 3*k. Calculate the lowest common multiple of 42 and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + -0.3. Let z = -0.34 + j. Suppose 848 = 79*x + 133*x. Put -1, x, z in decreasing order.\nAnswer: x, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-655722)\/(-2084697) + -1*(-12)\/(-138). Let y be (-752)\/(-1119) + (-6)\/9. Let b = p - y. Sort -2\/3, -0.1, b in descending order.\nAnswer: b, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-30))\/(((-4)\/3)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-248)\/28 + 2)\/(12\/(-42)). Is 177\/7 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 48989 (b) 2\/11 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3242.25532 rounded to 1 decimal place?\nAnswer: 3242.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2618 at most -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oojyyj. Give prob of picking 1 y and 1 j.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -3 + -1 + 1. Let s(b) = -b**3 - b**2 + b + 1. Let f be s(v). Factor -6*i**2 + 5*i**2 + i**2 + 2*i**4 - 6*i**f + 4*i**2.\nAnswer: 2*i**2*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*y = -3*w - 1, -5*w - 5*y + 15 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 689784729?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*o + 581*o + 1200*o + 26241 + 21543 = 0 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**(1\/2)))\/o)\/(o*(o\/o**(1\/14))\/o)*(((o**2\/o)\/o)\/o)**(-49))**(-13) assuming o is positive.\nAnswer: o**(-4329\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttyttyttyttyytttttt. What is prob of sequence yty?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.445655 rounded to 1 decimal place?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -124, -241, -374, -529, -712, -929?\n\"Answer: -u**3 - 2*u**2 - 104*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-70))\/(6\/(-40)*2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2\/125 of a kilometer?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -48af0?\nAnswer: -48aec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l + 12. Let d be (9\/5)\/((-18)\/(-60)). Let h(u) = 6*u - 28*u - 14 - 9 - 3 + 2. Let n(o) = d*h(o) + 10*m(o). Differentiate n(r) with respect to r.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 7 - 1. Determine h, given that 6*h**2 + 2*h + h**n - 9*h**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 916900 - 630249. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 140306.0063 + -140403. Let y = 71 - 168. Let m = y - k. What is m rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, j: 5, y: 3}. Give prob of picking 3 y and 1 j.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -175 + 293. Suppose m + 62 = 5*n. Suppose -5*s = 0, 2*v + s = -2*v + n. What is the greatest common factor of 81 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(162) + (-2 + sqrt(162) + sqrt(162) + 3 - sqrt(162) - sqrt(162))**2)*4.\nAnswer: -4 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*q + 4. Let c(i) be the third derivative of -i**6\/40 - i**5\/60 + i**4\/24 + i**3\/6 + 3*i**2. Is c(q) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**2 - 4*z - 6. Suppose 0*i + 2*i + 5*h = 2, 18 = -4*i + h. Let l be k(i). Suppose -5*u + 3*d = -l, 2*d - 4*d - 44 = -2*u. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46657421.\nAnswer: 5011, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1574\/231 > -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 2, q: 1, o: 2, j: 1}. Give prob of sequence oi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4331 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: Expand (-5 + 3 + 5)*(7*f - f + 2*f)*(0 + 1 - 2)*(-3 + 5 - 1)*(28 + 11*f - 28 + (-2 - 2*f + 2)*(-2 - 2 + 2)).\nAnswer: -360*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ceke when four letters picked without replacement from {q: 1, c: 2, t: 1, k: 1, r: 1, e: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/80)\/((-6650)\/(-2375)*(-1)\/(14\/(-116))).\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 5*t**2 + 4*t + 2. Let w be b(-4). Suppose w*o = 4*o. Suppose o = 5*r - 0*r - 45. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 504860*v**2 - 1009665*v - 110.\nAnswer: 5*(v - 2)*(100972*v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + -1*sqrt(320) - sqrt(320)*2*6)**2*2.\nAnswer: -540890 + 6240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 46883892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37914703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 2*u - 1. Let s be 1*4*(-7 - -8). Does 3 divide c(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -566.3619 rounded to the nearest integer?\nAnswer: -566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from pdqpdpdqpg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*h - 30 = 30*h. What is the third derivative of 88*o**2 + 87*o**2 + 37*o**2 - 52*o**h - 54*o**2 wrt o?\nAnswer: -3120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99710.2002 rounded to the nearest ten?\nAnswer: 99710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8192*r - 12121*r + 216095 for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-2*q + 4*q - q) + (15*q - 4*q + 5*q)*(-1 + 0 - 1).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 4, 0.2, -90.81059, 2\/15?\nAnswer: -90.81059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 1:10 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 19 = k, 2659*k + 39 = -3*q + 2662*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-10)*3*8\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-762)\/48 - -17)\/(1*(-3)\/(-4))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1047 and 10659189.\nAnswer: 3720056961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 80, 55, 14, -43, -116, -205?\n\"Answer: -8*f**2 - f + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*k**2 - 100455*k - 728061701 wrt k?\nAnswer: 30*k - 100455","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 330 - 101. Let x = -117 + o. What is the highest common divisor of 70 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - 3\/(-15)*183. Let m = -41 + k. Are -2\/5 and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/3 + 113002*k**3\/3 + 1130170*k**2\/3 + 941850*k.\nAnswer: -2*k*(k - 56511)*(k + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75\/2 - -655\/18. What is the common denominator of 41\/42 and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 12) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 94)\/(139\/(-16402)).\nAnswer: 2, 5, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 1 - 1. Suppose -6 = -0*t - 3*t - n*u, -t + 2 = -3*u. Suppose -2*g + 2 = t*f, g + 1 = -0*f - 3*f. Let b(o) = o**3 - 4*o**2 + 3*o - 1. Give b(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 8173677.\nAnswer: -5\/8173677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-8 + (2 - -2)). Let b(j) = -s + 563*j - 5 - 556*j - j**2. Let g be b(6). Which is bigger: g or 5\/12?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212aa6 (base 11) to base 2\nAnswer: 1010011001011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (410\/246)\/(2\/(-27))*12\/(-6).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i**4\/15 - 2246*i**3\/5 + 234936*i**2\/5 - 12975208*i\/15 + 1216608\/5 = 0. What is i?\nAnswer: 2\/7, 23, 116, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 8*i - 8. Let f be k(-5). Let -1\/3*l + 0 - 1\/3*l**f = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 26*s**5\/9 + 1304*s**4\/9 - 2530*s**3\/9 - 1720*s**2\/9 + 2504*s\/9 + 416\/9 = 0.\nAnswer: -52, -1, -2\/13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m. Let f(l) = 16*l. Calculate f(c(j)).\nAnswer: 64*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.43 (b) -0.1 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16242, 16241, 16242, 16245, 16250, 16257?\nAnswer: 16266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8748 and 10944.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8189e5 - -1a?\nAnswer: -8189ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6840 and 2117660?\nAnswer: 724239720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2350?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g**3 - 1097*g**2 - 2191*g - 1079. Let f(t) = 5*t**3 - 730*t**2 - 1460*t - 720. Let a(b) = 8*f(b) - 5*i(b). Solve a(v) = 0 for v.\nAnswer: -1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j**2 - 4*j + 3. Let q be s(2). Suppose 1 = 3*k + m, 0 + q = 3*k - 5*m. What is the remainder when k is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 2*x + 7. Give f(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -22*k. Let y(t) = -385*t. Calculate -88*x(b) + 5*y(b).\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 166.2 + -250. Let x = -83.5 - q. Let o = -68\/7 + 10. What is the second biggest value in x, 6, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = n + n + 4*w, n - 5*w = 24. Solve -46 = 11*a + n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -19) + (-86 - -87)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59971.57 days to microseconds.\nAnswer: 5181543648000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 + 6*v\/11 - 8\/11.\nAnswer: 2*(v - 1)*(v + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Suppose f*n - 2 = n. Suppose -n*u - 5*h - 8 = 4, -8 = 2*h. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14513568 and 5548.\nAnswer: 14513568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 - 18*h**2 + 14*h - 85. Calculate a(8).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or 43318?\nAnswer: 43318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j - 87*j + 2247 = -12*j. Solve -i - j = -5*x - 6, -12 = 4*x + 4*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 292925790.7+-5.7\nAnswer: 292925785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**5)*p**(6\/5))\/(((p*p**(1\/4))\/p)\/((p\/(p**(-5)*p))\/p))*(((p\/p**(-3))\/p*p)\/p**4)\/(p**(4\/3)\/p**1) assuming p is positive.\nAnswer: p**(577\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrr. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-492)\/(-18)*(-12)\/(-42) + -63 + 55?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/8624 and 52\/187.\nAnswer: 146608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.016 and -0.13.\nAnswer: 0.00208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4507 + -4502. Solve 2*g = -s*l - 0 + 8, -5 = 5*g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*l - 4*l + 30, l - 3 = 0. Let c = y - -2. Let a(b) be the third derivative of -b**5\/60 - b**4\/6 + b**3\/3 - 35*b**2. Give a(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 41759426692517.\nAnswer: 41759426692517.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -22165142*a**2. Let t(n) = 3*n**2. Give t(w(r)).\nAnswer: 1473880559640492*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**3 - 39152*u**2 - 182161738*u + 93591851012 = 0.\nAnswer: -10021, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1188535*u - 1460 = 1188681*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123972701\/282 + 439619. Find the common denominator of -89\/6 and s.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 8:25 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*p + 17770 + 2*p**4 + 2*p**3 - 17770 + (0*p**3 - p**3 + 2*p**3)*(-2*p + 3*p - 2*p) to d*p**4 + q*p**3 + t*p**2 + a + r*p and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4215472 by -1082.\nAnswer: 3896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/50*-10*19\/114.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Let u(x) = 33*x. Let z(j) = -17*j. Let r(n) = -4*u(n) - 9*z(n). Calculate -72*p(o) + 3*r(o).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2085864 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3 + 120664*z**2 - 97699466*z + 19911122868 = 0. What is z?\nAnswer: 409, 59514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*f = 0. Let g(p) = 4*p + 2*p + f*p - 4*p. Let o(d) be the third derivative of d**4\/8 + 8*d**2. Determine o(g(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 42.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 670.3189s?\nAnswer: 670318900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -11. Let t = -2 - z. Let y(k) = -k + 1. Let b be y(1). Solve -2*r + b - t = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 431331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33931 = 178*p + 26455 for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 935990302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2899 + 2901. Solve y*t = 22*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*c = -7, -5*c = -2*a - 13 - 10. Let o = -63 + 58. Let y = a + o. Let j(t) = -t**3 - 3*t**2 + 3*t - 1. What is j(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1671642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/1723878 and -85\/3354?\nAnswer: 74126754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 7*r**2 - 6*r + 9. What is b(7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2133*v**2 - 59*v**3 - 4260*v**2 + 2127*v**2.\nAnswer: -59*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 + 5. Let h(y) be the first derivative of 12 - 1\/2*y**2 - 4*y - y**3. Let d(l) = 5*h(l) + 4*i(l). Find the second derivative of d(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101001101010010 - -10101111010?\nAnswer: -10100110111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 25316?\nAnswer: 25316.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -7. Suppose z + 2*z - 135 = -3*o, 0 = -3*o - 9. What is the lowest common multiple of c and (-36)\/z - (-150)\/8?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 23. Let q(k) = -154*k + 78*k + 74*k. Calculate q(s(p)).\nAnswer: -2*p - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3590980 (base 11) to base 16.\nAnswer: 5f6954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 162, -2191, -59, 0 in decreasing order.\nAnswer: 162, 1, 0, -59, -2191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.062645 to 0 decimal places.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**5*q*q*q**(1\/2)\/q)**38)**(6\/5) assuming q is positive.\nAnswer: q**(1482\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1898 = -1858. What is the remainder when 1279 is divided by f?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, i: 2, z: 12}. What is prob of sequence nzii?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*z + 4*v, 4*z - z = v - 19. Let m = -3 - z. Suppose 4*r = 5*i - 36, -m*r - 13 = -2*i + r. Solve i = -f + 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 13*c. Let f(b) = -5*b. Let t(r) = -6*f(r) - 3*m(r). Let p(q) = -q - 2*q + 6*q. What is t(p(w))?\nAnswer: -27*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.057 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(((-592)\/68)\/37)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 29.5. Let x = 8.2 - t. Which is greater: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.28 + -0.02. Let l = 16.7 - 16. Let c = 4.7 - l. What is the closest to 0 in r, c, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqx when three letters picked without replacement from {n: 4, h: 2, x: 2, q: 3, i: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1.62 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 7*v + 20 = 3*v, 4*v - 4 = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16501531 is divided by 135258.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1056 - 423. Let c = 1312 - s. What are the prime factors of c\/4 - (-4 - (-45)\/12)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.1 - 9. Let o = g + -7.1000056. Round o to 7 decimal places.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*d - 105*p + 102*p, 20 = 4*d + 5*p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yttt when four letters picked without replacement from {f: 4, t: 3, y: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 11*y. Let i be b(11). Let r(n) be the first derivative of i*n**3 + 1 - 3\/4*n**4 + 0*n**2 - n. Differentiate r(q) wrt q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 121, -0.9, -2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 7. Suppose 2*m - 12 = 3*o, -5*m - 9*o + 7*o - 8 = 0. Sort m, r, 5 in descending order.\nAnswer: 5, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2716*j**5 + 38020*j**4 + 133140*j**3 + 92540*j**2 + 136*j = 0.\nAnswer: -2, -1, -1\/679, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4692731 weeks in microseconds?\nAnswer: 283816370880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m**3 + 9449 + m + 0*m + 13*m**3 - 4*m**2 - 9418 to the form k*m + d + n*m**2 + j*m**3 and give d.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-9) - 3 - -3. Let q(p) = p**2 - 7*p + 6. Let u be q(6). Which is the third smallest value? (a) m (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.5942 to 0 decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l + 4. Let n(s) = 11*s + 9. Let x(k) = -4*n(k) + 9*z(k). Let b(r) be the second derivative of -3*r**3 + 45*r - 1. What is x(b(c))?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 23\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**5\/60 - c**4\/24 - 7*c**3\/3 - 9*c**2 + 27. What is u(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -207 - -209. Suppose 2*c + 5*f = 12487, 5*f - i*f - 3 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 4. Let u = 412 - 6182\/15. What is the nearest to 1 in 0, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187704 by -2844.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-340)\/(-68) + (-2)\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1068 - -9?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 21 + 13 = 0. Let t = 4 + l. Suppose -2*q - 5*c = -83, t*q + 2*c - 5*c = 91. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593*y + 290190 = 9128*y for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 14, j: 1}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from vbbvbpaapaa?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 35 = -8*n. Let a = -0.17 - 4.83. Sort a, -1\/5, n in descending order.\nAnswer: n, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1382, -1383, -1384, -1385, -1386, -1387?\n\"Answer: -q - 1381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 128032943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15\/23 - 637\/1012. Let z = -343 + 2053\/6. What is the common denominator of z and q?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k**2 - 37*k**2 - 25*k**2 + (-3 + 3 - 2*k)*(-1 - k + 1))*(4 - 2 - 4).\nAnswer: 140*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 + 3*y**2 + 4. Let z(r) = 6*r**3 - 9*r**2 - 11. Determine -11*i(a) - 4*z(a).\nAnswer: -2*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 10 - 18. Let k be 4*8\/(-64) + (-46)\/w. Calculate the greatest common factor of 88 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17741, 35560, 53453, 71420, 89461?\n\"Answer: 37*a**2 + 17708*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + f**2. Let z be r(-1). Let u(p) = -p**3 - 5*p**2 + p. Let x be u(-4). Let v = 25 + x. Solve 17 = v*q - z*q - 2*y, -y = -q + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: What is 21003400 (base 5) in base 7?\nAnswer: 1315323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - d + 1. Let f(b) = -b**2 - 3*b + 3. Let w(a) = -f(a) + 3*i(a). Let v(l) = 3*l**2. Determine v(w(q)).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2719250 by 10.\nAnswer: -271925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1443)\/9 + (-2)\/3. Let s = n + 3379\/21. Suppose 1 = 2*q - 5. Put q, -0.3, s in descending order.\nAnswer: q, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -124057 bigger than 1616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 48220813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -4.825.\nAnswer: -5.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -13. Let n = 32.1 + g. Which is smaller: 22 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 489549750 to the power of 1\/4, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*h = 795, 3*j - 2*h - 453 = h. What is the remainder when (10\/(-4))\/((-13)\/j) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from mew?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.1. Which is the second biggest value? (a) w (b) 1 (c) -4 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - 286 - 7*m**4 - 3*m**3 + 291 as a*m + w*m**4 + t + d*m**2 + v*m**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 636 and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Let x = 11.8 + -12. Let k = x - f. What is the third biggest value in 3, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 235*b**2\/2 - 757. Let c(o) = 5*o. Calculate c(w(i)).\nAnswer: 1175*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k - 32*k + 52 = t, 3*k + 7*t + 8 - 52 = 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 577798 divided by 1\nAnswer: 577798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-11))**(-5\/2)\/((i\/(i**(-27)*i))\/(i\/i**(-25))) assuming i is positive.\nAnswer: i**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g - h = 54, -2*h - 31 = -3*g. What is the lowest common multiple of 192 and g?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/(-40) + (4 - 6))*-4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 151442565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 418, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r**2 - 14*r**2 + 3*r**2 - 5*r**2 + 4*r**2 + 5*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382 = -139*b + 2467 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**4 - 291*f**3 - 70896*f**2 - 682476*f - 1083744 = 0. Calculate f.\nAnswer: -106, -8, -2, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - i - i**2 - 24*i**2 + 7 as c*i**2 + b + w*i and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, r: 1, d: 5, q: 1, m: 1}. What is prob of picking 2 x, 1 r, and 1 d?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-8 + 3 - 2 - -9)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -10*h**2 + 6*h + 2*h**3 + 2*h**4 + 161 - 161 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -5. Let i = -5 + 7. Let z(o) = -2*o + 1 - 2*o**2 + 0*o**i + o. Calculate z(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -13541*g - 3805073. What is a(-281)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 1019851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 447 divided by -3\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/3 and 27\/3440?\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -96744, -96750, -96766, -96798, -96852, -96934, -97050, -97206?\n\"Answer: -n**3 + n**2 - 2*n - 96742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1349 + 1349.5. Put -4, f, -5, -160\/11 in descending order.\nAnswer: f, -4, -5, -160\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50\/63 + -4\/7. Which is the fourth smallest value? (a) -1\/4 (b) -3 (c) -2\/11 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*(0*t + t + 3*t)*(-1 + 1 + 2*t**3 + (-4*t + 4*t - 2*t)*(2*t**2 - 2 + 2)) to the form d + y*t**3 + l*t + x*t**2 + s*t**4 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2631 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Suppose -4*o - f*k = k - 66, -5*o + 5*k = -65. What is the remainder when o is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 + -1314101?\nAnswer: -1313410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 2*z**2 - 3. Determine x(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - 8*t + 8. What is the tens digit of b(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -127.7 + 125.914. Round i to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(6*-2*3\/(-48)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -281\/89?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llzzzzzzllzzl. What is prob of picking 3 l?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u**2 + u**2 + 2*u**2)*(-17*u - 12*u + 8*u) + (-2 + 2*u**2 + 2)*(-u + 0*u + 3*u) to m + w*u**2 + d*u + q*u**3 and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3491286 is divided by 436386?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -87*c - 1616. What is h(-19)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 5, g: 4}. What is prob of picking 3 g?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -926*j - 12. Let p(t) = -2*t**2. Determine p(z(d)).\nAnswer: -1714952*d**2 - 44448*d - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7225 - 7220. What is the closest to 0.06 in -6, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*a = 3, -a + 6 = 2*z + 2*a. Let w = z - 1. Suppose w*p + 4 - 46 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {p: 4, r: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 77?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 36 + 0 + 4 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 158.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.118 - 5.146. What is the second biggest value in j, -3, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2281162, 4562329, 6843496, 9124663?\n\"Answer: 2281167*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1\/12)*m)*m*m\/(m*m\/(m*m\/(m*m**(-7))))*m)\/(m\/(m\/(m\/(m\/(m**(-1)*m))))*m)**7*(m**(-2\/7)*m*m**1)\/(m**(-7)*m**(-9)\/m) assuming m is positive.\nAnswer: m**(1747\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(432)*4 - (2*sqrt(432) + 3)))**2.\nAnswer: 2880*sqrt(3) + 172836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -14 + -2 - -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7469.\nAnswer: 7, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = i + i + 21, 0 = -3*i + 9. Suppose 0 = -4*d + 5*w + 57, -30 = -2*d - w + r. Let k = d - 21. Which is the nearest to 0? (a) -3\/4 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 922301?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiliiiliiiilmqiqlii. Give prob of picking 1 i and 1 m.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + (0 + sqrt(500) - sqrt(500))*-6 + sqrt(500)) + 6*-2*sqrt(500) + (-2*(sqrt(500) - sqrt(500)*2) - sqrt(500)) + 0)**2.\nAnswer: 112500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/(-7))\/(20\/24)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 171\/3*((-18)\/9)\/((-35)\/5*-3)?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 53 = 6*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + 32. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 344 by -86.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 133*i. Let o(z) = 216*z. Determine n(o(g)).\nAnswer: 28728*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 14*d + 68. Let v be s(18). Let u be v\/(-30) + (-44)\/132. Which is the closest to -1? (a) 4 (b) -10\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*v + 11, 3*s + 4*v + 53 - 55 = 0. Calculate the lowest common multiple of s and 578.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, 3, -3, -2 in ascending order.\nAnswer: -114, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ad8 (base 16) to base 2.\nAnswer: 1101011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -222*q + 712. Let p(t) be the second derivative of 3\/7*t**3 + t - 3\/70*t**5 + 0*t**2 + 1\/7*t**q + 0. Let p(f) = 0. Calculate f.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2482, -2390, -7258, -12122?\n\"Answer: 2*x**2 - 4878*x + 7358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 3*o + 4)*(4 - 4 - 1) + 38*o + 2468 - 2468 to f + r*o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 6:36 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6863.31 micrometers in centimeters?\nAnswer: 0.686331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + s + 1. Let r(l) = 12*l**2 - 4*l - 5. Let w(b) = 5*a(b) + r(b). Calculate w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiitwiiwwitiw. What is prob of sequence tw?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-31 + 1)\/(-1). Let t be 600\/720 - (2 - (-13)\/(-6)). Put t, -1, i in increasing order.\nAnswer: -1, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -5, 0, 2\/21, 0.23?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 8) in base 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2314 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6109 is divided by 51?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 479*v**2 - 30667*v + 663. Determine z(64).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12717 at most -14978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28968 and 11441?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b51a - 1?\nAnswer: b519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + z + 102 = 0, -z - 96 + 93 = 0. What is the highest common divisor of 5775 and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 5*i + 5. Suppose 4*c + 1 = -19. Let w be v(c). Let a = 10 - 15. What is the closest to -2\/5 in -0.1, a, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-518399982)\/24 - (-3)\/(-4). What is u rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.414, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 17*w**2 + 27*w - 86. Let t = 176 + -160. Does 7 divide g(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 64. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16153 = -304*m - 572*m + 3352 - 36255 for m.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 14*d - 92. What is the tens digit of v(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/3 - 39733*n**3\/3 - 79462*n**2\/3.\nAnswer: -n**2*(n + 2)*(n + 39731)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12733\/(-9) + 4\/(-18). Let l = 3364 + u. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 4 + 6 + (2 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, 1, -4, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (256 - 144 - 121) + (82 - 0)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9108.008 kilograms to grams.\nAnswer: 9108008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/3184 and (-2 - (-5 + -2)) + ((-492)\/(-224) - 8)?\nAnswer: 22288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 35. Let m be (188\/(-50))\/(p\/15). Let n = -19 + m. Sort n, 5, 1.\nAnswer: n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 6*o**2 - 7*o - 34. Calculate x(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**2 - 9*y - 3*y**2 + 24*y - 3*y**2 wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47807451*g**2 - 67473460 with respect to g.\nAnswer: -95614902*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-2) - -6)\/(4 + 1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 7:31 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 100*h**2 + 240*h + 4231. List the prime factors of u(-17).\nAnswer: 11, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.63 to one dp.\nAnswer: -22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*-1)**2 + sqrt(36)\/(sqrt(72)\/sqrt(6)).\nAnswer: sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 1407*d**2 + 118293*d + 5108583.\nAnswer: 3*(d - 337)*(d - 163)*(d + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.17618982 to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -39600 in increasing order.\nAnswer: -39600, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1189275, -1189358, -1189441, -1189524, -1189607?\nAnswer: -1189690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 24040*i.\nAnswer: -2*i*(i - 12020)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**3 - n. Let x(a) = 154*a**3 + 91*a**2 + 14*a. Let u(t) = 14*v(t) + x(t). Let p(r) = -13*r**3 - 6*r**2. What is -91*p(i) - 6*u(i)?\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*u + 271*u + 3111 = 0. Solve 179*n - u*n - 16 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10.19, 3, 16, 6\/235 in decreasing order.\nAnswer: 16, 10.19, 3, 6\/235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 764083, 764079, 764075, 764071, 764067?\n\"Answer: -4*w + 764087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3642 + 3681.68. What is k rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - -33) + 1 + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3294*p - 16972 = 10872 + 11684 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l**2 + 100*l + 53. Let m(y) = -18*y**2 + 199*y + 104. Let u(x) = -6*m(x) + 13*s(x). Does 10 divide u(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 12*x + 3. Let h be i(6). Let j(g) = -2*g**3 + 2 - 4 - 2*g**2 + 4*g**h. Let c(r) = r**3 - 1. Let f be ((-2)\/6)\/(3\/9). Give f*j(y) + 3*c(y).\nAnswer: y**3 + 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l = h, 2*h = -l. Solve -6 = -2*c - l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1759966*q**6*t - q**4 - q**3*t - 4*q**2*t - q**2 - 443*q*t - 12*q - 2*t wrt q?\nAnswer: -211195920*q**3*t - 24*q - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 169 and 52.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15010 + 2276 = 943*s - 411 - 3049 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z = -46*z - 510 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + -24 + 13 + 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -225 + 227. Find the third derivative of 2*x**f - 2*x**4 + 40 + 34*x**3 - 88 + 3*x**3 - 38 wrt x.\nAnswer: -48*x + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 268.754383 to one decimal place.\nAnswer: 268.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 19*o - 3*k - 62305 = 0, -o + 5*k + 12483 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168355 is divided by 1324?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 10. Let x = z - -48. Calculate the highest common factor of 84 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e40 (base 16) to base 6.\nAnswer: -24520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 2*o**2 + 167*o + 9. Let j be x(14). Let s = -1 - -1. Let g = s - 0.4. What is the biggest value in g, -1\/15, j?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000454 rounded to seven decimal places?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -63*m + 1181. What is f(19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -31266528173 and -0.2.\nAnswer: -31266528173.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 54215*m - 99546710.\nAnswer: -5*(m - 8501)*(m - 2342)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1\/12)\/(1211\/24220)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*f**2)*(f**3 + f**2 - f**2) + 5*f**2 - 4*f**2 + 49*f**5 + 3*f**2 - 2*f**2.\nAnswer: 51*f**5 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157115049 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.11 + -4.11. Let k = -75 - -74. Let i = 5453 + -5459. Which is the nearest to k? (a) i (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 8*o = -u + 3, -4*o = 4. Let j(q) be the second derivative of 1\/4*q**4 - 1\/6*q**3 + q**2 + q + 0. What is j(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 3\/70 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 5*n**4\/12 + 155*n**3\/3 - 4015*n**2\/2 + 2637*n. Determine j so that o(j) = 0.\nAnswer: -73, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4258043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*k - 30 + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 6*o**2 - 3*o**2)*(15 + 2*o**2 - 34 + 20).\nAnswer: 12*o**4 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2538 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: What is the eighth root of 988987 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1485 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5 - 133560*s**4 - 1468383651*s**3 + 403759517946*s**2 - 27818387027460*s + 54033485189400 = 0. Calculate s.\nAnswer: -22395, 2, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 263\/735 - 11\/49. Let l be -2*(-1 - -3)*-1. What is the closest to 2 in l, m, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46529.273 - 46470. Let x = 130.035 + j. Let f = x - 189. What is f rounded to two dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26595 - -1.1\nAnswer: 26596.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108956918?\nAnswer: 2, 3, 3581, 51613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.847546831 rounded to 2 dps?\nAnswer: 6.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 minus 206.24?\nAnswer: 136.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22661\/3540 + -1\/708. Factor -12\/5*b + 2\/5 + 2\/5*b**2 + 48\/5*b**3 + l*b**4.\nAnswer: 2*(b + 1)**2*(4*b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 8*k = -1638. Let u = k + -73. Let j = 26 - 12. Calculate the lowest common multiple of u and j.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11149657.\nAnswer: 11149657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) 0.3 (c) 0.06 (d) 1.5 (e) 7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(468) + 2*sqrt(468) + sqrt(468))**2 + sqrt(468) + (-4*(sqrt(468) + 1))**2.\nAnswer: 198*sqrt(13) + 14991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -211\/2 - -100. Let r = 93 - 90. Is r at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6518 + -13?\nAnswer: 6505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 8*t**2 + 6*t + 6. Let m(x) = x**3 + x**2 - 2*x - 1. Let w be m(-2). Let i = 3 + w. Let l(a) = 0 + a**i + 0*a**2 - 1 - a. Give 6*l(u) + o(u).\nAnswer: u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5824999*i**2 + 8*i + 12. Let a be u(-2). What is a rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2 - 15\/(-5)). Let s = -3 + 3.3. Let b = -0.2 + s. What is the closest to 2\/5 in 1\/4, b, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in 0.5, 0, 0.4, -8423.21, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-3\/2)*v)*v**(2\/13)\/v)**20*(v**0)**(-24)\/(v**(-2\/5)\/v*v*v**(-5\/2)) assuming v is positive.\nAnswer: v**(-523\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2 = -2*k, -3*a + k - 1 = -0*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/12558385 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2875 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13173385 - 13173373 - 138*u + 136*u.\nAnswer: -2*u + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1553.42065*-0.1.\nAnswer: 155.342065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*z + 3*q, 4*q + 6 = -2*z - 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012 - 11233?\nAnswer: -10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18557115 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 286\/((-1188)\/(-54))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-2)*((-8)\/(-2) - 5). Is (7663\/v)\/(39\/117) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -7*u**6\/180 - 17*u**3\/6 + 16*u**2. Let h(g) be the first derivative of j(g). Let n(l) = 4*l**2. Calculate n(h(z)).\nAnswer: 784*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -14, -31, -56, -89?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-2536)*11\/(33\/(-156)). Is 1 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 28 = -2*o, 5*o = -0*o - 20. Calculate the remainder when 26 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 401345.468 to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 34221*o - 753221. Calculate l(-22).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54448895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 10*n**2 + 12*n - 21. Let k be q(9). Suppose k*a - 4826 = 2*a + 2*w, 4*a + 5*w - 4833 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0383 (b) 7\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -3*u + 54, -15125*n + 9*u - 3*u = -15129*n + 90 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -105*n + 198. What is c(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 16) to base 5.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7040166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 3. Let r(o) = 4*o + 10. Let u = 7 + -10. Let a be (u\/5)\/(6\/30). Calculate a*r(y) - 10*s(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-5)*(-64580)\/(-45206)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 147.7 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - 130*h**2 - 131*h - 60. Let l be b(66). Solve -9*t - l = -60 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n + 2*n - 72. Suppose -3*m = -n - 30. What is the remainder when m is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.28 + -0.3. Let t = 0 + -1. Sort -2\/5, t, x in increasing order.\nAnswer: t, -2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*s = 18, -2*i + 2 = -4*s + s. Solve i*x - x = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 13) to base 4\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 198*h*m**4*o**3 + 4794*h*m**2 - 989*h*o**3 + 6*o**3 + 2*o - 7 with respect to m.\nAnswer: 792*h*m**3*o**3 + 9588*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1911247279 to the nearest integer?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -12*i - 65 + 5*i - 14. Calculate the lowest common multiple of (-180)\/(-50) + (-4)\/(-10) and t(-17).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -139*a - 269 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 + 311.1?\nAnswer: 162.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69*d*g - 13570*d + 2*g + 1174122 wrt d?\nAnswer: -69*g - 13570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 3:41 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 618 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 2:56 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 1328?\nAnswer: 14608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.076 and 72.9952352.\nAnswer: 73.0712352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 27. Let s be h(-9). What is the hundreds digit of (-2932)\/s + 7\/((-441)\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**4\/3 + h**3\/6 + h**2\/2 + h. What is the remainder when k(2) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.102 + -0.302. Which is smaller: f or 117?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2422 + -2419. Solve -7 = -0*o - y*o + 2*z, 3*z + 1 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3\/3 + 22*s**2 + 292*s\/3 + 112 = 0.\nAnswer: -28, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197842?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -1388912.\nAnswer: -1\/86807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/(u*u**(-5)\/u*u)*(u\/(u\/(u*u**(-1))))**(-14\/11))**20 assuming u is positive.\nAnswer: u**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 2360 - 578 = 0. What is the smallest common multiple of 198 and n?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 12*c - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*p = -155*p - 2236 - 5730 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 2*s**2 - 3*s - 1. Let p(y) = 2*y**3 + 5*y**2 - 3*y + 3. Let o be p(-3). What is m(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60 - 121 - 2*p + 160 - 10*p**2 to u*p + d + l*p**2 and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/272)\/((-66)\/(-51)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 744 = 34*z - 276. Solve 11*j - z = -4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5*(sqrt(99) - (sqrt(99)*-2 + sqrt(99)))*-4)\/(-1*sqrt(225)*1))**2.\nAnswer: 80*sqrt(11) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -11. Suppose 2*t + 5*l - 23 = -1, -2*t + 2*l = a. Calculate the lowest common multiple of 4 and t\/(6\/36 - (-10)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - 21d37?\nAnswer: -21d3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3*o - 8)*(127*o**2 + 65 - 65).\nAnswer: -381*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 746943333 to the power of 1\/3, to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/1 - 5) + -1. Let u(h) be the second derivative of -h**4\/24 + h**3\/6 + h**2\/2 + h. Let d(i) be the first derivative of u(i). Calculate d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(2*p + 0*p - 3*p) + 0*p - 2*p - 3*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - 2) + (-287)\/(-63) and 81\/46.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1413061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 358*l + 80*l**3 - 2500 + 1642*l - 820*l**4 - 600*l**2 + 816*l**4 = 0. Calculate l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -7*o + 2*o, -4*s + 2*o = 0. Suppose s = -14*t - 0*t + 69706. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = v + 8, 0 = -503*v + 504*v - d - 9 + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 26 = 4. Let h(a) = -67*a + 21. Is h(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 4) + -20 - -14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -435 divided by -145?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.27188474 less than -1.3?\nAnswer: -4.57188474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2.7. Let p = 3 + 1. Let w = p - 5. Is f < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 2:59 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 5) in base 9?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2039831.99897 + -2039849. Let n = 28 + -11. Let u = n + h. What is u rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x + 18. Let l be y(-9). Solve 4*t - 5*g - 5 = l, 0 = -t + g - 0*g + 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 3*o - 76 + 58 = 0, -5*o - 14 = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 7:11 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2040011 (base 5) to base 15\nAnswer: a006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.990235 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139\/3 + -46. Let u = -13.1 - -12. Let s = u + 2.1. Is z greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppaap. What is prob of sequence apa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*27\/1134*189\/14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -49*n - 9. Let o(s) = -3*s - 2. Let a be o(3). Let m be v(a). What is m rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (2 - -1)) + 1942 + -1960.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 51*j**2 + 10*j - 4. Calculate the least common multiple of 10 and h(-2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*-1*sqrt(2448))**2 + 1*(-5*-3*-2*sqrt(17))**2 + -1.\nAnswer: 37329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-3))\/(4\/(-24)). Does 6 divide 18\/(-15)*q*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 48 - 46 = -100, -8*v - 4*d = -20 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.271 - 1.270183. Round o to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - l - 1739, -3*l + 247 = 4*a - 1512. Suppose -a - 737 = -3*s. Let g = s + -257. What is g rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259121 is divided by 64738?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 428 divide 687933816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 3)\/((-21892)\/39). Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**5\/30 - w**2 - 14*w. Let k(x) = 259*x. Calculate k(f(z)).\nAnswer: -518*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 + (-3684)\/(-36). Suppose 427 = 4*k + t. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -875*y**3 - 5238*y**2 - 7815*y + 92. Let z(t) = t**2 + 1. Let a(n) = i(n) - 2*z(n). Suppose a(o) = 0. Calculate o.\nAnswer: -3, 2\/175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and (-6 - -3) + (-3 - -11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 759 + 1a039?\nAnswer: 1a794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-84))\/((-1270)\/(-7620)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-3\/5)*u\/u**(-3)*u assuming u is positive.\nAnswer: u**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -4*o + 28, -20*o + 72 = 4159*c - 4161*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 67, 18, -0.1, -0.5, -4, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86187.09 millimeters in kilometers?\nAnswer: 0.08618709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 68*j - 9772. Calculate i(144).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -57622, -115231, -172850, -230485, -288142, -345827, -403546, -461305?\n\"Answer: -k**3 + k**2 - 57605*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48574, 48573, 48572?\nAnswer: 48571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148048 is divided by 423?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.928056 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-34372)\/(-6) - (-2)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 320 and 320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (33\/(-22) + 122\/4)*-1. Let q = z + 33. Solve -8 = q*o, 5 + 5 = 4*u + 5*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -240, 2, 5?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -86266+-1\nAnswer: -86267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*s = 61*s, -5*x - 4*s = 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 - 7*m**2 - 6*m - 9. What is the units digit of r(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86796 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p + 15*p + 39060. Let z = -946 - p. List the prime factors of z.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/921 (b) -1\/3 (c) -12\/5 (d) 9\/502\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4917*y - 77. Let r(p) = -3*p + 38. Calculate -g(v) - 2*r(v).\nAnswer: 4923*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*u**3\/5 + 38*u**2\/5 = 0. Calculate u.\nAnswer: -38\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/6*(-138)\/(-184)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1129480*q*t + 1196677*t wrt q?\nAnswer: 1129480*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*w - 19 = l + 182*w, 14*l + 2*w + 266 = 0 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x**3 - 5*x**2 + 6*x + 6. Suppose -30*l = -24*l - 18. Let m(n) = 20*n**l + 24 - 7 + 8*n - 14*n**2 + 4*n + 5*n. Determine -17*i(t) + 6*m(t).\nAnswer: t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*l**4 + 8715*l**3 + 43386*l**2 + 3555*l = 0. Calculate l.\nAnswer: -237, -5, -1\/12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -223 + 227. Sort 5, 88, l in ascending order.\nAnswer: l, 5, 88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 95*x + 1552. Let t be i(21). Let u(d) = 6*d**3 + d**2 + 2*d - 1. What is u(t)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 - -0.17. What is the biggest value in 5, g, -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 6. Let s(q) = q - 1. Let v(g) = 5*g + 3. Let k(o) = -o. Let h(d) = 14*k(d) + 2*v(d). Let n(y) = l*s(y) - h(y). Let x(w) = -w**2. What is n(x(a))?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4.6 * 8.6439\nAnswer: -39.76194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 42 = -3*f, 0*z = 2*z - 3*f - 72. Let x be -5*(2 - (-32)\/(-20)) - 219. Let i = x - -266. Calculate the greatest common factor of i and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllwwlw. What is prob of sequence ll?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.06793 micrograms in nanograms?\nAnswer: 86067.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 8 = -1. Sort 3, 4, o, 0 in decreasing order.\nAnswer: 4, 3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1726, -2813, -3246, -3025, -2150, -621, 1562?\n\"Answer: 327*t**2 - 2068*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46092857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + ((-8 - -4) + 5 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/sqrt(2)*-6)\/(1*sqrt(5)*-5).\nAnswer: 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 18 = -4*y, 5*y + 0*c - 27 = -c. Suppose m = y - 1. Let z be m\/(-15)*30*-1. Calculate the highest common factor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1180)\/52 + (-66 - -89)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + v = -8221, 2*i - 5*v = -0*i + 8217. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6*y**(-2\/27)*(y**(3\/7))**(-49))**(-2\/99) assuming y is positive.\nAnswer: y**(74\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175 - 125. Let p = u - 36. Differentiate -p*l + 6*l + 1 - 5*l**2 + 8*l wrt l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpppphpppppypyp. Give prob of picking 1 y and 2 h.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -57. Let f = 0 + -0.2. Sort f, x, -5 in decreasing order.\nAnswer: f, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 3*w - 868 = -871, 4*p = -2*w + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**3 - 19*s**2 + 31*s - 1. What is i(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6839225903 to the nearest integer?\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 9:12 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 59, 152, 235, 308, 371, 424, 467?\n\"Answer: -5*y**2 + 108*y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 n when three letters picked without replacement from eneeneenwennwyw?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + (-4)\/(-6))*(-486)\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h - 1. Let b(o) = -6*o - 1. Determine 5*b(j) - 4*y(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/23)\/(y\/y**(-3))*(y*y**(-9))\/((y**(1\/4)\/y)\/y) assuming y is positive.\nAnswer: y**(-935\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*b**3 + 233*b**3 + 203*b**3 - 911*b**3 + 235*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhhnzhhnz. What is prob of sequence hznh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + 1329\/(-390)*9. Let p = -244156\/13 + 18805. Let b = o + p. Calculate the common denominator of 57\/2 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.31898 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**6\/120 - 2*i**5\/15 + 3*i**4\/8 - i**3\/3 + 2*i**2. Let g be w(6). Does 24 divide 5\/(g\/(-192)) - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782041?\nAnswer: 13, 43, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -232 divided by 116\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**4 + 376338*k**3 + 1505363*k**2 + 1881708*k + 752684 = 0.\nAnswer: -2, -1, 376342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 2*a**2 + 2*a + 3. Let c(s) = -6*s**2 - 1 + 8*s - 13*s + 5*s**2. Let z be c(-4). Suppose z*f - 4 = -13. Determine j(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 5 - (-62 - -54)) + (3 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + g - 640 = 6*g, -4*w + 4*g - 480 = 0. List the prime factors of 1\/4 + w\/(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2165329*d**3 - 78937477?\nAnswer: -6495987*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + 2 + sqrt(1900) + 0 - (0 + (-4 + sqrt(1900))*4)**2).\nAnswer: -3870*sqrt(19) + 91971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 9) to base 14.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -740397.77 to the nearest one hundred.\nAnswer: -740400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7*k = 0. Let j(v) = v. Let r be j(3). Suppose k = -r*m - m - 16. Sort 1, m, 4 in ascending order.\nAnswer: m, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48580, 48583, 48586, 48589?\nAnswer: 48592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g + 18*g**2 + 5*g + 0*g.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/5*10\/3. Let v = -0.1 + 0.22. What is the third smallest value in k, -5, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 5*l**2 + 192*l + 1427. Calculate c(-8).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*y - 35, -2*y = -z + 8 + 5. What is the biggest value in 2\/3, -6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8995.903um?\nAnswer: 0.008995903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x. Let y(s) = 7*s**2 - 65. Suppose -610*g + 597*g = -91. Let c(v) = 10*v**2 - 97. Let q(m) = g*y(m) - 5*c(m). What is h(q(d))?\nAnswer: 3*d**2 - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0 + (2 - 2 - 2)*(-60 - 26 + 7))*(-2*h**4 - 3*h**4 + 6*h**4) to n*h**3 + f*h**2 + d + r*h**4 + v*h and give r.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by ((-1)\/3)\/(6\/(-270)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124.5 - -125. Suppose k + 2*k - 12 = 0. Put s, 3, k in descending order.\nAnswer: k, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2\/17 + 382*c\/17 - 756\/17 = 0.\nAnswer: 2, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**7\/14 - p**6\/2 - 9*p**5\/20 + 45*p**4\/4 - 27*p**3 - 2*p + 2. Determine v so that o(v) = 0.\nAnswer: -3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 31 = 3*k - 5*d, 0 = -k - d + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-10)*(6 - (-1014)\/(-168))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1385 - 299060271\nAnswer: -299061656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w**4 + 9 - 9 - 2*w**4 + 0*w**4 + 4*w**4 + 1 + 2*w**4 - 1 + (0 + 0 + w)*(2*w**3 + 2*w**3 - 2*w**3) + w**4 - 4 + 4.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307, -618, -929, -1240?\nAnswer: -1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 - -0.09. Round b to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5622540 and 700.\nAnswer: 28112700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 8. Let s(l) = -2*l**3 + l**2 - 5*l + 2. Let b be s(c). Suppose 2*m = -3*m + b. Is m a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1515 is divided by 299?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a + 2. Let m(n) = 4*n - 3. Let s(y) = -5*g(y) - 4*m(y). Let z be s(0). Let b be -2 - (z + -4)\/1. Solve -2*r + 10 = -b*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, r: 3}. What is prob of picking 2 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 7:14 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*z + 135, -18 = -3*r - 5*z - 180. Let b = r + 76. Suppose 0 = 4*l - 131 + b. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdz when three letters picked without replacement from xdydeekz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 14*q**3 - 3*q + 3. Let x be a(1). Suppose x = 3*l - 7. Solve 4*h - 2*u = -10, 5*u + 13 + l = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*4)\/((-8)\/324*18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {k: 9, y: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 10608182*n + 28133381336281.\nAnswer: (n - 5304091)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 916\/9 - (-34)\/153. Let t be (-7)\/(-28) + y\/(-472). Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2609887?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10947884 is divided by 5473918?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 5 - 4 - 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from gvdvaaaddv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15076835 divided by 13?\nAnswer: -15076835\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15.32, -0.4, 5\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 93, 394, 1003, 2028?\nAnswer: 3577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 135378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 2105635150?\nAnswer: 23161986650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1186 = i - 567 - 569 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 4 - 4)*(-3046 + 59979 + 26714 + 44212 - 23965) as k*j + s and give k.\nAnswer: 103894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 3*g + 5*u, -5*g - 3238 = 4*u - 3283 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/193495 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3 + 344418*o**2 - 25482825*o + 471406936 = 0.\nAnswer: 37, 344344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -180*w - 33*w**3 - 60*w**3 - 58*w**3 + 36*w**3 + 228*w**2 + 48 + 21*w**4 - 2*w**3 = 0?\nAnswer: 4\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-5)*(-36)\/(-2052)*15\/6.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 2, -28, -75\/7 in increasing order.\nAnswer: -28, -75\/7, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcc when three letters picked without replacement from {g: 2, j: 1, i: 1, r: 1, c: 1, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 87988326 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: 0.05 * 193144\nAnswer: 9657.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-84))\/(1*-1*(-78)\/(-273))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 - -0.11. Let y = 0.2 - r. What is the nearest to y in 1\/3, 1, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 24078852.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/2 + -2 + 16. Let b be (-2)\/z - 308\/(-60). Suppose -4*s + 5*f + 13 = 0, 3*s + 0*f - b = -f. Solve 4*t - s = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 5*o + 77 - 114, 0 = 4*o + 27 + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 21*p + 21. Let j be w(12). Is 2846\/14 + -3 + j\/21 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r. Let q(i) = i - 1. Let w(b) = -12. Let t(g) = 60*q(g) - 5*w(g). Calculate v(t(n)).\nAnswer: 120*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**6\/720 + 7*w**5\/120 - 13*w**4\/8 - 191*w**2. Let c(v) be the second derivative of q(v). Give c(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -240*s + 13. Let m be (5 - (-14)\/(-2))*10\/4. Let x be y(m). Suppose 4*n + 441 = x. Does 29 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-4))\/((-2)\/8). What is the tens digit of 8\/12*m + 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 94*y**3\/5 - 171216*y**2\/5 - 266242*y\/5 + 153132\/5 = 0?\nAnswer: -2, 21\/47, 1823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 66, 88, 110, 132?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + (58\/(-174) - (-338)\/6). Let j = 40 - 22. What is the highest common factor of z and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (48*d - 6*d + 37*d + (-1 + 1 + 3*d)*(-2 - 2 - 1))*(0*d**3 - 5*d**3 + 3*d**3) in the form s*d**2 + i*d**3 + j*d**4 + g*d + w and give j.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236837035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27715527?\nAnswer: 3, 7, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j + 2 - 1\/2*j**2. Let u be h(-6). Solve d = -4*l - 6, 0*d = -u*d + l + 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162372 and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 4. Let k be j(3). Suppose -k = -2*f + 21. Let h = -5861 - -5872. Calculate the highest common divisor of h and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, b: 2, c: 1, l: 5, r: 4}. Give prob of picking 2 j, 1 b, and 1 c.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 81*w. Let h(z) = -30*z - 2. Determine h(f(g)).\nAnswer: -2430*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y - 33. Let k(d) = d + 13. Let h = -30 - -18. Let t(q) = h*k(q) - 5*z(q). What is t(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 18*z + 110. Let a(n) = 5*n + 10. Let g(i) = -2. Determine z*g(t) + 2*a(t).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26483 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 4. Let w be r(0). Solve 4 = w*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7694 + 2.3676. Let b = z + -1.6. Round b to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1404 = 88.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14100 - -402146?\nAnswer: 355046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 42 = -2*x - 0*r, -2*x - 3*r + 7 = 0. Let j(s) = -x - 3*s + 6*s + 12. Calculate j(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -24, -5, 1\/20 in descending order.\nAnswer: 3\/4, 1\/20, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15 = -5. Suppose -13*n = -10*n - 9. What is the first derivative of 171*l - 171*l + j*l**n + 4 wrt l?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2070 divided by 414?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/30*-1*286\/(-39)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 145d + 8?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - t - t)*(19 + 980 - 99)*(1 + 0 + 0) in the form i*t + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4598, -36801, -124206, -294413, -575022?\nAnswer: -993633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657783?\nAnswer: 3, 7, 53, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3741 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 21 + 46 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 21*n - 4*n - 27*n. Let i(m) = -2*m**2. Determine b(i(d)).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 14) in base 12?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) 5 (c) -0.5 (d) 655 (e) -3\/5 (f) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t. Let w be (0 + 1\/(-4))*(2 + -2). Let s(q) be the third derivative of -2*q**2 + w*q**4 + 1\/30*q**5 + 0*q**3 + 0 + 0*q. Calculate s(k(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157195771.\nAnswer: 157195771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -20. What is the second smallest value in q, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 924 = 2*h. Is ((-2)\/(-1))\/((-6)\/h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**2 + 5*n + 6. Let y(c) = -5*c**2 + 4*c + 5. Give 5*s(a) - 6*y(a).\nAnswer: 5*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -59? (a) -11\/13 (b) -3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -11\/4649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 58 = 4*w, 0 = 4*a + 8. What is the smallest common multiple of 3 and w\/4*2 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 11) in base 7?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.181 (c) 2\/9 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/8)*d*d**(3\/5))\/((d**(-6\/11)\/d)\/d**(-1\/5)) assuming d is positive.\nAnswer: d**(1461\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 357, 731, 1111, 1497, 1889, 2287?\nAnswer: 2691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-18))\/(1\/178*-5)*2325\/(-930)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/1)\/((-128)\/(-64)))\/(6\/180)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00491 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6129718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 18. Let d(j) be the third derivative of j**3\/6 - 9*j**2. Let b(k) = -3*d(k) - w(k). Is 14 a factor of b(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, -0.2, 6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1213, 1211, 1209, 1207, 1205?\n\"Answer: -2*h + 1215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z + 2*d = 47*z - 28, -2*z = 4*d - 14 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 137, 331, 603?\nAnswer: 953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30200 - -391691\/13. Let a = -70 - i. Let b be 2\/8 + 2\/(-8). Is b < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z - 3. Let k be y(7). Let n be 2\/k - 52\/44. Let w be n + -2 + 4\/(-2). Which is the second smallest value? (a) w (b) 1\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -41, -43, -45?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**5 - 2*z**5 - 5*z**5 + 3*z**5 + 0*z**5 + 0*z**5 + (-2 - 1 + 4)*(-4*z**5 + 0*z**5 + 5*z**5) + z**5 + 11*z**5 - 3*z**5.\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 637\/3085 - 4\/617. Let x = -3 + 0. Which is the nearest to 2? (a) x (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -1\/2 (c) 4\/5 (d) -17\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - 14414*f**3 + 10*f**2 + 5 - 5 - 14459*f**3 + 28880*f**3.\nAnswer: 7*f**3 + 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + j - 20. Suppose -j*o + 20 = -280. Calculate the remainder when o is divided by (-1)\/(-4) - 86\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1848407.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 163710 and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 297317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.009 to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4 - 1519505*h**3*s - 31*h**2*s + 3*h**2 + 733*h*s wrt h?\nAnswer: 48*h - 9117030*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 702\/104*(-2)\/(-18).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prm. What is prob of sequence mp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/(-57) - 23\/(471960\/15966) and (-31)\/12 + 2\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1352204 and 482930.\nAnswer: 6761020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**24\/g**(16\/5))\/(g*g**(-3\/2)*(((g**(-2\/7)\/g*g)\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(1721\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 31784.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 12.6. Let n = -1131 - -1131. What is the biggest value in n, y, -0.03?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1394, -2787, -4180, -5573, -6966, -8359?\nAnswer: -9752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 2:37 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkk. What is prob of picking 2 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -5, 4\/15, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2832 bigger than -142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -69*t - 14*t - 38*t - 37*t + 190*t. Suppose 4*l = -l + 10. Let i(k) = 3*k**2 - 2*k**2 + 0*k**l. Give g(i(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*4 - (-10 - -5). Let v(k) = -k + 7. Determine v(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4520 divided by 4.\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v - 9*v + 11*v - 9*v**2 as o + t*v + i*v**2 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2. Let z(l) = 31*l**2 + 131 + 5*l - 58 - 68. Let a(y) = -18 + 6 - 52*y - 325*y**2 - 40. Let k(v) = -5*a(v) - 52*z(v). Determine t(k(i)).\nAnswer: 507*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 + 5*g**3 - 5*g - 2*g**3 - g**3 to f*g**2 + u*g**3 + b + n*g and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6288987 is divided by 1257797?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 + -640\/7. Which is the third biggest value? (a) 20 (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20709.82393 rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203464 divided by 8.\nAnswer: -25433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 5:46 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 66. Let p be d(0). Let l = 138 - p. Is 24 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, -179, -682, -17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2585, 3, 5, -5 in decreasing order.\nAnswer: 2585, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30510924.9999961 + 30510940. Let d = -15 + j. Round d to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62.73 - -63. Let n = -0.09 - c. Let h = 0.06 + n. What is the closest to -0.1 in h, -3, 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6063 (base 7) to base 14\nAnswer: -aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.28 bigger than 8\/1031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 206 + -1602016?\nAnswer: -1601610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2010 - 1833. What is the smallest common multiple of 15 and w?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 11640?\nAnswer: 11643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -633*l**3 - 1 - 4*l**2 - 2 + 4 + 594*l**3 as u*l**3 + i*l + f + b*l**2 and give u.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y**2 + 3\/4*y**5 + 0 - 3\/2*y**4 + 3\/4*y**3 + 0*y.\nAnswer: 3*y**3*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**5 + 293868*h**4 + 1175427*h**3 + 293838*h**2 - 1763136*h = 0. Calculate h.\nAnswer: -97952, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*l*r**3 - 2*l*r**2 + 47*l*r + 2*r**3 - 2*r**2 wrt r?\nAnswer: 342*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/3 + (-64)\/48. Suppose -n = q*n - 612. Let d = n - 53. Solve 3*m + 2*m = d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21590245, 21590242, 21590225, 21590188, 21590125, 21590030, 21589897?\n\"Answer: -r**3 - r**2 + 7*r + 21590240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + g**2 + 0)*(1 - 5 + 1) + g**2 + 0*g**2 + 0*g**2 - 730*g**2 - 2 + 1430*g**2 - 717*g**2.\nAnswer: -19*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 33*d + 21. What is m(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -373876926*x - 50346431?\nAnswer: -373876926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663b (base 13) in base 6?\nAnswer: 530103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65990, -113266, -160542, -207818, -255094, -302370?\nAnswer: -349646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4606, 4264, 3920, 3574?\n\"Answer: -p**2 - 339*p + 4946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6 + (19 - 17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23969 is divided by 1866?\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -17.8 - -9.4\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 16895?\nAnswer: 50685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.67, -8467.5, 0, -2\/11, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**3\/6 + 2*i. Let o(a) = -28*a**2 - 4*a + 4*a + 56*a**2 + 0*a. Determine o(n(x)).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(0 - (2 + 3)). Let g be (32\/27)\/((-468)\/(-1674)). Let x = 58\/13 - g. Which is the closest to 0.3? (a) x (b) 1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333750 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316431?\nAnswer: 3, 35159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4\/7)\/g**(-3\/2)*(g*g*g**6)\/(g*g**(-4)*g) assuming g is positive.\nAnswer: g**(153\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**2*w**2 - 47926*p**2*w + 32454*w**2 wrt w?\nAnswer: 6*p**2 + 64908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*z - 43*z + 42*z + 137*z.\nAnswer: 203*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1077774 - 1077774 + 15*z**2.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 1)*3\/((-18)\/(-2)). Solve 3*z = -m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p. Let g(m) be the third derivative of 3*m**5\/20 + 6*m**2 + 2. Determine z(g(r)).\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y**(3\/7))**(13\/6)*(y**(-9))**(-39))**(10\/7) assuming y is positive.\nAnswer: y**(25090\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**8)**7*(v\/v**(-2\/19)*v)**21)**(17\/2) assuming v is positive.\nAnswer: v**(34629\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2\/2 + 384555460*n - 14788290181581160.\nAnswer: -5*(n - 76911092)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + q + 0)*(-122 - 629 + 277) to the form x + c*q and give c.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2097 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2861*z + 9638 + 24711 = -2749*z + 6299 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/(1\/(-276)). Let p = -93 + a. What is the remainder when 362 is divided by p?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from alaaaaaaaalllalalal. Give prob of picking 3 l and 1 a.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 21373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhvh. Give prob of sequence vhh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -229.139932 to 0 decimal places.\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -2a2199?\nAnswer: 2a2190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -1\/3, 1\/4, -2, 2, 268 in increasing order.\nAnswer: -2, -1\/3, -0.07, 1\/4, 2, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4628*g - 13892. Give u(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g - 3064 = -2931 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -88 + -5?\nAnswer: -8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18495878 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/8748 and -97\/126.\nAnswer: 61236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njnygzoo. Give prob of sequence yjg.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -2. Suppose -y*o = -3*o - 51. Suppose -o*j + 16*j = -43. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -9*o**5\/20 + 9*o**4\/4 + o**2 - 70*o. Find the third derivative of c(t) wrt t.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361.3 times -1144?\nAnswer: -413327.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-90)*200\/15)\/(((-32)\/(-14))\/8)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, x: 2, v: 6, n: 1, h: 1}. Give prob of picking 3 y.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 187, 194?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = x - 2*x. Let c = 8 - 0. Suppose 6*k - 10 = c*k. Sort x, 3, k in ascending order.\nAnswer: k, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, n: 2}. Give prob of sequence nnk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**5\/60 - 2*y**4\/3 + 11*y**3\/3 + 7*y**2. Let x be q(-17). Solve x*k - 5 = -20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 9 = -d - 8, -5*o - 4*d = 23. Suppose 15*g - 12*g - 135 = 0. Let n = g + o. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 33*x**3 - 5*x - 1. What is the tens digit of b(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/478 and 3\/14.\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q*q*q**(-17)))*q**7\/q*q**(3\/11)*q\/(((q\/((q**(-5\/6)\/q)\/q))\/q*q)\/q) assuming q is positive.\nAnswer: q**(-697\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1587, 3432, 5277, 7122, 8967, 10812?\n\"Answer: 1845*j - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-4) + -109 + 13818\/188\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, d: 1, w: 6, a: 2, c: 3}. Give prob of picking 1 w and 2 c.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 1. Let j(v) = -2*v**2 + 6*v + 5. Let d = -34 + 31. Let w(t) = d*x(t) + j(t). Let z = -11 + 5. Calculate w(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3292.452 nanoseconds to seconds.\nAnswer: 0.000003292452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/((-243)\/5274))\/((-2)\/111) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11102011110 (base 3) to base 14\nAnswer: -23931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**5\/20 - 7*x**4 + 52*x**3\/3 + 12*x**2 + 13*x + 5. Let v be g(46). Round v to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 384850214 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -365 - -366. Suppose 43 = -3*k - 5. Is k greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 - 2\/(-2)*1. Let z = q - -87. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-14) + (23\/(-1518)*11)\/((-14)\/24)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, 1\/39, -5\/2, -10?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2368350 and 1315750.\nAnswer: 11841750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 7 = 157. Calculate the lowest common multiple of 6 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2977635?\nAnswer: 3, 5, 17, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2612.7 - 2615.7. Which is the closest to 1? (a) 17 (b) 3 (c) 47 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/366 + 25432\/42944. Let t = -0.5 - -0.1. What is the nearest to 0 in z, t, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -278, 3 in descending order.\nAnswer: 3, -2, -5, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - -3 - (-1 + 3). Suppose -2*z = -2*n + f*n, 0 = -3*z + 4*n + 35. Suppose -z*d = -3*m - 4, -m - 50 = -6*m - 3*d. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 324*w**3 - 332*w**2 - 324*w + 328.\nAnswer: 4*(w - 1)**2*(w + 1)*(w + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/7 - 6568*m**4\/7 + 12177908*m**3\/7 - 630911888*m**2.\nAnswer: m**2*(m - 3046)**2*(m - 476)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-301)\/129*44\/(792\/(-54))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19035480 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -49*c - 30. What is the remainder when h(-5) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2\/11 (b) 2 (c) 113.9 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gczuzcgky. What is prob of picking 2 z and 2 c?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110782?\nAnswer: 2, 7, 41, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/7)\/y**(-5))\/(y**(1\/14)\/y**37) assuming y is positive.\nAnswer: y**(599\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/36*-5*1632\/(-560).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**8)*m)\/m**(-1\/6))**(-28\/5)\/(m\/(m\/(m**(3\/7)\/m)*m)*m*m**(-10))**(-2\/25) assuming m is positive.\nAnswer: m**(-27394\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 50 - 24)*((1 - 1 - j)*(1 + 1 - 4) + 0 + 0 + 3*j - j + j + j + 2*j - 5*j + 2*j) as y + o*j and give o.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 17. Let g = 231 + -233. Let w be 8\/g - (-60)\/10. What is the biggest value in w, 1\/5, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1787*m + 1568. Calculate v(1).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -111 + -634. Let n = q + 745.4. What is the nearest to 0 in -0.3, -0.9, n, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186 and 806.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 450 + -450. Solve 0 = 5*z - k - v + 20, -8 = 2*z + 5*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237, 235, 233?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/5*-11*4\/(-132)*-3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*x - v - 31, -4*v = 0. Suppose 2*s - x - 69 = 0. Let p = s - 21. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five fourteenths of a week?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -63*n + 879. Determine p(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/4 of a meter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2414 is divided by 2410.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -0.20663.\nAnswer: -1.65304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-2)\/(-1)*(-164)\/(-3608)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-12\/11)*k**4\/k*(((k**(3\/4)*k*k)\/k)\/k)**14 assuming k is positive.\nAnswer: k**(273\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4846, -9681, -14516, -19351, -24186?\n\"Answer: -4835*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001941 rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(1 - -1 - 3). Let a = j + 4. Suppose 3*u = a*i + 837 + 1084, u = 4*i + 651. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-700))\/((-2)\/70).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -23232, 4.\nAnswer: -23232, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwhwhhfwhhfhfwf. Give prob of picking 2 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2094 from 24.\nAnswer: -2070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) -2 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 38\/(-9))*(-63)\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 124129 = 4*o + 124131, -5*h - 10 = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-4)\/((-20)\/1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -570 + 1771. Let t = m + -587. Is 54 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/46440 and -79\/680.\nAnswer: 789480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1903 + 1898. Sort v, -619, -3, 0, 5 in ascending order.\nAnswer: -619, v, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k - 9*k + 4. Sort k, 4\/3, -2 in decreasing order.\nAnswer: 4\/3, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463780091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 - -163. Suppose q - 2 = y. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -5*p - u, -710*p + 714*p - 5*u - 23 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2079774 litres?\nAnswer: 207.9774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 77 = -r. Suppose 170 = 3*q - 190. Let a = r + q. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17\/(51\/18930)*15\/25?\nAnswer: 2, 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(102) + (sqrt(102)*1 + sqrt(102))*6)\/(sqrt(294) - (sqrt(294)*1*5 + sqrt(294)) - sqrt(294)).\nAnswer: -17*sqrt(17)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 403 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*n + 5*x, -x + 83823 = -13*n + 83889 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 - -62.64. Let n = -0.76 - j. Let u be (1\/3)\/((-38)\/57). What is the nearest to u in 0.12, -0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -451 + 457. What is the nearest to w in -0.2, -5, 1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diiiinniidiipipp. What is prob of sequence in?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*g = -44, j + 2*g - 19 = -5. Suppose 9*l = 14*l - 205. Let w = l - j. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 358 - 31258638383.\nAnswer: -31258638025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2516 and 7.\nAnswer: 17612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/2 - 4*a**2 - 15*a\/2.\nAnswer: -a*(a + 3)*(a + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 84*a + 3892 - 21616. What is the remainder when 1474 is divided by a?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27364*a + 3309?\nAnswer: 27364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j + 0*j**4 - 1\/3*j**3 + 0*j**2 + 0 + 1\/3*j**5.\nAnswer: j**3*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 2. Let g be d(1). Solve 3*j + o - 10 = g, 4*j = -o + 3*o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.00503 - -0.00503. What is the third biggest value in -6\/11, -3.1, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12998.62 + 12709. What is p rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**4\/20 + i**3\/10 - 5*i - 2. Let q(t) be the first derivative of b(t). Factor q(c).\nAnswer: -3*c*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 6:37 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 124.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.52 * 0.1.\nAnswer: -0.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 58, 94, 114, 112, 82, 18, -86?\n\"Answer: -c**3 - 2*c**2 + 49*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 378 by 6.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-15)*-8*(-10)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**27\/y)**(-18)*(y*y**(3\/7)*y)**(-23) assuming y is positive.\nAnswer: y**(-3667\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 5*j**2 + 21. Let k be l(-4). Solve -k = 47*b - 46*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 65043 = 93*s. Calculate the greatest common factor of 88 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4738133917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.3 - 1.7. Let d = -7 - c. Let u = -7 - -8. What is the nearest to u in -0.2, 1\/8, d?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10*20\/300*3\/(-2). What is the biggest value in -1\/4, w, -202?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.35 * 1671523.\nAnswer: -585033.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*f + 13, 45*f + 14 = 4*d - 0*d + 43*f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 2*z + 84 + 85, 5*z - 21 + 1 = -x + 30 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 5. Let s = -0.006 + 5.406. Let p = s - 0.4. Which is the nearest to -0.1? (a) p (b) -1\/6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*d - 3170, -4*d + 6*m - 11*m = -2557. Suppose -12*n = d - 621. Let h = -101926\/135 + 755. Is h > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.9? (a) -33 (b) 0.4 (c) -0.2 (d) 0.09 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 84923, 2\/337, 1\/3, -3 in descending order.\nAnswer: 84923, 1\/3, 2\/337, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*sqrt(1700)*-2)**2 + -3 - (sqrt(1700)*2 + 4 + 4)*-5.\nAnswer: 100*sqrt(17) + 244835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 less than 1757?\nAnswer: 1887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -4*c + 16, -c + 10 = c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f - 2 = -18*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) - -3*sqrt(102))*-4)\/sqrt(6) + -5)*6 + -5.\nAnswer: -96*sqrt(17) - 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1446808147 minus -1.05?\nAnswer: 1446808148.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h**(-1\/7)\/h)\/h)\/(h*h**2)*(h**(-2\/7))**(11\/5))**(-26))**(1\/51) assuming h is positive.\nAnswer: h**(4342\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002002 (base 3) to base 4.\nAnswer: -30101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b = -5*b - 22. Let u be (-1)\/(-8)*8\/2 - b. Put u, 1\/4, -3, 3\/7 in descending order.\nAnswer: u, 3\/7, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x**2 - 40*x**2 + 258*x - 258*x.\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**4\/5 - 11190773*v**3\/5 + 18651282*v**2\/5 - 7460512*v\/5 = 0.\nAnswer: 0, 2\/3, 1, 3730256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 25 = 5*g + 1, -2*g = 3*t - 15. Put -2, -3, 2, g in descending order.\nAnswer: g, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41066221 (base 7) to base 15.\nAnswer: -47ac4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(3\/(-5)*38815\/(-4436))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -202\/5 (c) -16\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4981758 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5483*f + 37 - 22 - 5476*f - 15.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 563380 by 5.\nAnswer: 112676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (1 - (-4 - (1 - 4)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8394 (base 11) to base 6.\nAnswer: 123242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 16.25. Let g = y + -0.05. Let z = -122.1 - -121.9. Is g >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyrqyyyyyryyrqyyqq. What is prob of picking 2 y?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(3)*3 + -4 + sqrt(18)\/sqrt(6)).\nAnswer: -5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 11. Suppose -5*f - 2*j + 10 = 0, -2*f = -4*j - o - 4. Which is the nearest to 0? (a) f (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 3*w**3 + 2*w**3 + 3*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -160019*m + 5280631. Determine s(33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 25?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47465 and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-325)\/(-35))\/65*1*35\/20\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1700 and 2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -2, 9.\nAnswer: -2, 9, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1010110100001101001011 (base 2) to base 16\nAnswer: -2b434b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -28887145.535 to the nearest 100.\nAnswer: -28887100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 49. Let h = 22.99999905 - n. Round h to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 4*j + 9*j)*(-10*j + 25 + 8*j - 28 + 20*j**2)*(-6 + 5 + 2).\nAnswer: 160*j**3 - 16*j**2 - 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1078*d**3*l - d**3 + 2*d**2 + 3*d + 75*l + 6789 wrt l.\nAnswer: -1078*d**3 + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 9:46 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) - sqrt(68)*2*1)) + (sqrt(68) + sqrt(68)*-1)*6)\/(-5*(sqrt(484) + (1*sqrt(484) + sqrt(484) - sqrt(484)))*1).\nAnswer: -sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -926\/3 + 2285\/12. Let n = 117 + f. Which is the closest to 1? (a) -0.5 (b) n (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-64))\/((20\/8)\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 158 + -96. Suppose -9*m - 152 = -10*m + v, -5*m + 3*v = -766. What is the highest common factor of m and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 23*o + 44. What is q(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 4*k + 16, -12 = 2*v + 105*k - 101*k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u - 22*u + 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**2 - 6*o - 2. Suppose -3*y + 13 - 4 = 0, 4*w - 6 = 2*y. What is the units digit of r(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 92906*g**3*i + 54292*g**3 + 1 wrt i.\nAnswer: 92906*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 131 + 168 = 0. Let g = 5 - 3. Let u(a) = 3*a**2. What is the remainder when n is divided by u(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 448 + -465 - (-4 + 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -301?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10625475\/2 or 5312737?\nAnswer: 5312737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/j*j**(-1))\/(j**(-1)\/j)**(2\/9) assuming j is positive.\nAnswer: j**(-41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 53 = 4*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 25 = -35. Let k = j + 19. Let s be 12\/(-9) - k\/(-4). Is s < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(11))*-2 + (-2 + sqrt(44) - sqrt(11)))**2.\nAnswer: 4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 + 4. Let z be p(4). Suppose -z = -i + 3*i. What is the common denominator of ((-27)\/33 + -4)\/(-1) and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-45)\/(k**(-50)\/k)*(k\/(k\/(((k**0\/k)\/k)\/k)))**(-22))**(-29\/2) assuming k is positive.\nAnswer: k**(-1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*k - 178*k - 133*k.\nAnswer: -282*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/201 or 24.825?\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4\/3 + 3*f**3 + 10*f**2\/3 - f.\nAnswer: -f*(f - 3)*(f + 1)*(4*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -496\nAnswer: -496.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anaaananaaa. What is prob of sequence an?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4748860 and 475?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39242, -39160, -39078?\n\"Answer: 82*s - 39324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 7*p - 26. Let b be t(5). Let u = -8 - b. Calculate the remainder when 11 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7*z + 1516 = 5*z, 5*z = 3*f - 2264. What are the prime factors of f?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4\/7 - 1821*s**3 - 803895*s**2\/7 - 224223*s - 778410\/7 = 0. What is s?\nAnswer: -4185, -62, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7118469561 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5ae2 (base 15) in base 13?\nAnswer: 8a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1348112654 - 1397103432.43. Let t = 48990756.42999691 + h. Let r = t + 22. What is r rounded to 7 dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-4 - 0 - -1) - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146177.\nAnswer: 127, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + (-210)\/36)*(6 - 0). Suppose 4*o - 4 = -4*q, -o + 7 = -5*q - 12. Suppose -2*s = 3*j + 16 + 69, 2*s = 4*j - 64. Sort s, o, p.\nAnswer: s, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 - 92*m**2 - 4730*m - 44376.\nAnswer: -(m + 12)*(m + 86)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -8, -y + 131 = 6*o - o. Let u = 28 - o. Is -2\/33 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28 - 7\/((-28)\/(-8)). What is the highest common factor of v and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -244 + 267. Suppose b = 20 - s. Sort 0.11, b, -2\/9, 1.\nAnswer: b, -2\/9, 0.11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1803149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -974942, -3899745, -8774416, -15598955, -24373362?\nAnswer: -35097637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 - 72862*a\/5 - 14572.\nAnswer: -2*(a + 1)*(a + 36430)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7.146 - 123868477\nAnswer: -123868484.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1865)\/(-170) + -11)*-4*(-3)\/(-6).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14838 and 14838 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -1.2. Let p = -1.4 - o. Which is the third biggest value? (a) 0.4 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 11:11 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 1. Let p be v(2). Let o be -8 - 0\/((-6)\/p). Let w be (o\/42)\/(6\/(-9)). Which is the nearest to -2\/7? (a) w (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-3\/7)\/b)\/b*b**(-6))\/((b*b**(-1))\/b)**18*((b**(2\/3)*b)\/(b\/((b\/(b*b**(-2)))\/b*b)))\/(b**3\/b**0) assuming b is positive.\nAnswer: b**(215\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2179 or 2181?\nAnswer: 2181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*w - 64, -68 = -4*p - 6*w + 2*w. Let v = -401 + 583. Find the common denominator of (v\/112)\/(p\/(-8)) and -51\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*n - 437 = n, -5*n - 775 = -5*c. Let j = c - -298. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 3:56 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 404647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-two fifths of a millennium?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/7 - 211718824*s\/7 - 211718826\/7 = 0. Calculate s.\nAnswer: -1, 105859413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -277 - -282. Suppose -4*p = -5*w - 23, 26*p = 25*p + t*w + 17. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 110\/3 in 5\/6, 3, -19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 22*x - 94. Determine y(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 574044935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 97*g**2. Let o(q) be the first derivative of -q**4\/6 - 50*q - 38. Let h(d) be the first derivative of o(d). Determine u(h(a)).\nAnswer: 388*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9202*s**6 + 7*s**2 + 6*s - 2 wrt s.\nAnswer: -1104240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414166501 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 5. Let j be z(5). Suppose 2*n - 73 = -c, 4*n - 6*c + c - 111 = 0. What is the remainder when n is divided by j\/(20\/(-12)) + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005042 rounded to six decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5631, 3\/10, 1\/35, -1\/8 in ascending order.\nAnswer: -1\/8, 1\/35, 3\/10, 5631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 2691.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 - 62*z**2 - 3*z + 107. Determine h(31).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 10*a - 3. Suppose 235 = -10*s - 275. Let y = -41 - s. Give k(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 1365 = 4*g. Let t = -86 + g. Suppose 43 = 3*v - t. Calculate the highest common divisor of v and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 26 (b) 5 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 44.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/6 - 145\/(-30). Suppose 0 = -10*z + d*z - 3*i - 55, 4*z + 44 = -5*i. Let r be 8\/(-12) + z\/(-3). Solve -r*h = 8 + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159 + 158.37. Let g = b - -0.4. Let n = -0.2352 - g. Round n to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 0*r**5 - 1\/180*r**6 + 3*r**2 + 0 + 0*r**4 + 1\/315*r**7 + 0*r**3 + 0*r. Factor m(i).\nAnswer: 2*i**3*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 862629653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -521738, -1043489, -1565240, -2086991, -2608742, -3130493?\n\"Answer: -521751*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92091 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = 3*s + 2*q + 57, s - 4*q + 44 = 0. Let l be (3 + 9)\/(-4) - s. What is the greatest common factor of l and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 h when three letters picked without replacement from {d: 3, h: 1, f: 3, q: 1, z: 1, s: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5701)\/6 + 41\/246. Put 1, x, -1 in ascending order.\nAnswer: x, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397.\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**3\/3 + 3*p**2 - p + 2. Let l be c(6). Let f(j) = 5*j - 1. Let r(w) = 20*w - 4. Let z(o) = 9*f(o) - 2*r(o). Give z(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.09 - 0.1. Let j = -4.01 - m. Suppose -34*x - 66 + 25 = 7*x. Which is the third biggest value? (a) -1\/5 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 5\/6 (b) 1\/1071 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 - c**2 - c**2)*(5558*c + 2072*c + 1119*c + 4528*c) to the form u + x*c + d*c**3 + n*c**2 and give d.\nAnswer: -39831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -115*a - 397. Determine y(-4).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -0.5 (b) 232 (c) 4\/3 (d) 0 (e) 1 (f) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1790*r**2 - 4*r + 1326. Let s(i) = 3*i**2 + 2*i - 1. Let t(b) = -j(b) - 2*s(b). Differentiate t(a) with respect to a.\nAnswer: -3592*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (7 + 5 - -3) - 6?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61860 * 1225.\nAnswer: 75778500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 7 + 168 + -191 - 35\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + -3 - (-8 - -31) - -7.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - (-2*sqrt(324) + sqrt(324)))\/(sqrt(108)*-1 - sqrt(108)) + ((sqrt(243)*5 - sqrt(243))*4*-6)**2.\nAnswer: -7*sqrt(3)\/12 + 2239488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 greater than -265\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eppppppep. What is prob of picking 2 p?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6435143 and 182?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7619 a factor of 3265157607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1574*r + 1570*r + 1574*r + 165 - 6288*r + 1577*r.\nAnswer: 7*r + 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-25)*5\/(-7).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrqurqq. Give prob of sequence yr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.54 to one decimal place.\nAnswer: -12.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 3*y**4\/4 + y**3\/3 + 12*y. What is the tens digit of n(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Let o be ((-20)\/15)\/4*12. Calculate the common denominator of 6\/55 and (o + 5)*(-9)\/8 + 4.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + (sqrt(85) - (-2*sqrt(85) + sqrt(85)))*-3)\/((sqrt(5) - (sqrt(5) + sqrt(125)))*6).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36215953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v. Suppose -4*y = -2*r - 2, -5*y - r - r = 2. Let x be (2 - 0)*(-1)\/2. Let o = y - x. Give u(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11327+0.1\nAnswer: 11327.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1893168 and 784?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 4*p**2 - p + 20. Give m(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2393955*d**3 + 344*d - 1057 wrt d?\nAnswer: 14363730*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 14. Let u(b) = -2*b - 29. Let j(t) = 9*i(t) - 4*u(t). Let g be j(-7). Let q(d) = 4*d**2 + 3*d + 2. Does 13 divide q(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313046 is divided by 201.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1194*g - 29 - 1214*g - 29 + 2.\nAnswer: -20*g - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/12*16\/6. Let t be (1\/(-23))\/((-9)\/(-18)). Let l be -3 + (1 - (2 - -1)). Which is the closest to p? (a) t (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r. Let l be c(5). Sort l, 4, -1 in descending order.\nAnswer: 4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 12:10 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urot when four letters picked without replacement from {o: 1, u: 1, x: 1, t: 1, r: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*w - 80755, -3*j + 26280 = 3*w + 147375. Is (-3 - -2)\/(22\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*t - 836*t - 782 = -84 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*v + v + 12*v - 65*v**2)*(2 - 2 + 1 - 4 + 1 + 2 + (-1 - 2 + 1)*(-1 - 1 + 4) + 0 + 1 - 2).\nAnswer: 325*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/4850 and -44\/15435?\nAnswer: 14971950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-156)\/9)\/(-2) + (-5)\/(-15). Suppose -1 + 10 = d*s. Which is smaller: s or 1\/152?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116.180404 + -6.179884. Let d = p - 110. What is d rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299555014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 373094, 373089, 373086, 373085, 373086, 373089, 373094?\nAnswer: 373101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 356\/335 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, 0.04, 3\/8, 1\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470209?\nAnswer: 470209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - 5. Let g = -44 - l. Which is the closest to 1? (a) g (b) -0.01 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2. Let h(p) = -18*p**2 + 25*p**2 - 5*p**2. Give s(h(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9003*z - 9028*z - 302 - 248 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-10))\/(2\/20). Suppose -s*n = -n - 36. Suppose n = 3*r + 3*b, 4*b - 7 + 3 = -r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 r, and 2 y when four letters picked without replacement from gtytyyyrytttyyyty?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1088782625.\nAnswer: 5, 7, 23, 54101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -407 (base 10) to base 16\nAnswer: -197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -219 + 233. What is the remainder when 82 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - -23062041?\nAnswer: 23062026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136, 14, 135.\nAnswer: -136, 14, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*s - 18 = -23*s - 28*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 20*b**2 - 72*b + 60. Calculate s(23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = n - 4*r, r = -n - r + 3. What is the remainder when 19 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y*y\/(y*y**(-2)))\/y))**(-3\/14)\/(y*y**(1\/3))**(-8\/5) assuming y is positive.\nAnswer: y**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 2\/15 (c) 1674 (d) 3\/8 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59168433 at least 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -186 + 198. Let v = -7 - -13. Suppose -i = -j, 4*i - 4 = -j + v. Solve 2 = j*y + d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-1 + (12 - 3)). List the prime factors of (12\/v)\/(1\/14).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 11:52 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 19*t**3 - 17*t**2 - 5*t - 5. Let a(g) = -20*g**3 + 17*g**2 + 4*g + 4. Let r(n) = 5*a(n) + 4*z(n). Find the third derivative of r(q) wrt q.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-495)\/27)\/5*-3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x)\/x**(1\/3)*x**(-2\/35)\/x**(-1) assuming x is positive.\nAnswer: x**(-41\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.6 + -76. Let g = d - -42. Which is bigger: g or -0.04?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -2*m**5\/5 + 23*m**2 - 168*m + 27. Find the first derivative of i(z) wrt z.\nAnswer: -8*z**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57248143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 + 42154. Let b be f(0). List the prime factors of b\/42 - (-2)\/(-3).\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -705, -703, -701, -699, -697?\n\"Answer: 2*m - 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 151*g**2 + 4016*g + 14283. Calculate s(115).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 150?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.66 + 0.34. Which is the smallest value? (a) k (b) -0.3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -110121?\nAnswer: 110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-2)\/(-6))\/(11\/33).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 6 = 1. What is the units digit of -2*((-74)\/4 + q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8548 or 59842\/7?\nAnswer: 59842\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q - 2. Let p(n) = 5*n - 2. Let f(b) = 3*j(b) - 4*p(b). Let s be f(-1). Suppose s*k + 17 - 77 = 0. Calculate the remainder when 57 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a millimeter in micrometers?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 4*g - 2. Let n(o) = -26*o**2 + 88*o + 44. Let b(l) = -44*a(l) - 2*n(l). Let u(v) = 2*v**2. Give u(b(m)).\nAnswer: 18432*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((63\/135)\/7).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 13*z - 6 = 0. Sort -1\/2, 0, z in descending order.\nAnswer: 0, -1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -327, -325, -333, -357, -403, -477, -585?\n\"Answer: -l**3 + l**2 + 6*l - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 smaller than -3419\/106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17414 or -2141800\/123?\nAnswer: -17414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/7 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/104940 and -59\/891.\nAnswer: 944460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.031 (b) 5\/6 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/2, -4.6, 2.\nAnswer: -4.6, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*z + 7, 5*i + 3*z = i + 23. Let c = -3 + i. Suppose 6*r - c*r = 8. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 - -107. Let b(l) = -l**3 - 4*l**2 - 3*l + 7. Let g be b(-4). Suppose -160 = -3*a - g. Is i less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*r - r - 3*r + (-3 + 3 + 2*r)*(-5 + 4 + 0) + 0*r + r + r)*(372 - 3 + 105).\nAnswer: -948*r + 474","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.1 (b) 4 (c) 0.0677 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113 - -130?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + sqrt(275) - (-1*sqrt(275) + -1 - sqrt(275))**2.\nAnswer: -1099 - 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 60, -63, 2790?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - n - 1. Let g(u) = -4*u**2 + 3*u + 3. Let x be (6\/(-4))\/((-3)\/6). Suppose 0 = -2*v - x*v + 5. Give v*g(b) + 3*s(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 273 + -259 - (-618)\/4*1\/(-9)\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, j: 1, a: 2, h: 1, u: 1, v: 1}. Give prob of sequence hj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p**2 + 68*p**3 + 5*p**2 + 60*p - 69*p**3 - 5*p**4 to the form y*p**4 + x*p**2 + b*p**3 + i*p + c and give i.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 118*i + 11. Is g(42) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 58*k**2 - 90*k - 425. Is q(-42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 641, 5196, 17561, 41642, 81345?\nAnswer: 140576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -12*t - 867. Give x(-72).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-4) + ((-150)\/75)\/(2 + (-40)\/18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11139\/8 >= 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 2312761.\nAnswer: -12\/2312761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7728303ml to litres.\nAnswer: 0.0007728303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + sqrt(120)*2 - sqrt(120))\/sqrt(10))\/(2*sqrt(400) - sqrt(4))*1.\nAnswer: 2*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**3 + 4*s**2 - s + 12?\nAnswer: 12*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86102 + -35253. What are the prime factors of f?\nAnswer: 50849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 12*a**2 + 18*a - 20. Let u be d(1). Let p be (-5)\/u*132\/48. Is -1 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(300) + -3 + (sqrt(300) - (1 + sqrt(300))**2)*6)*-5 + 0.\nAnswer: 250*sqrt(3) + 9040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5, 24, 0.4, 14 in descending order.\nAnswer: 24, 14, 5, 0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13750570+413.128\nAnswer: 13750983.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b + 36. Suppose 1780 = -2*r + b*r. Let y = -111 + r. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -452.2 + 452. Which is the nearest to -1\/2? (a) u (b) 4 (c) -0.4 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 5*g**2 + 5*g + 1. Let o be b(4). Suppose -2*a + 36 = y, -2*y + 89 = -0*a + o*a. Calculate the remainder when 47 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53884 and 380.\nAnswer: 269420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(245) - sqrt(5)) + -3 + 4.\nAnswer: 1 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*(-2*(0 + sqrt(891))*5*2 + -5).\nAnswer: 120 + 4320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from {d: 6, y: 8, k: 1}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1033 + 22?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q = 36. Let t(u) = 0 + 7*u**2 + 33*u**3 + q*u + 12*u**3 - u - 6. Let d be t(14). What is d rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.76221 weeks in microseconds?\nAnswer: 4089784608000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + 7623\/189 + 0\/4 + 19?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -1, 0.1489, 2\/13, -17, -0.3?\nAnswer: 0.1489","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1316)\/(-5) - (-3)\/(-15). Let t(z) = z + 6. Let k be t(-3). Let g be a\/k - (-7)\/21. What is the greatest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s - 51. Let u be k(-13). Solve -u + 6 = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6528 = 438*z - 234*z for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2068 is divided by 484.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/20 and 167\/12150.\nAnswer: 24300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2938426 to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*q = -73*q + 11005. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 12*u**2 + 33*u + 18. Give o(14).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 2:46 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 - 3 = 4*s, -3*s - 1 = -5*p. Let i be s + (0 + 153)\/3. Suppose 69082 = 220*k - 6378. Calculate the greatest common divisor of i and k.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -61265, -130345, -199425, -268505?\n\"Answer: -69080*m + 7815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 277609679 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453497918.\nAnswer: 2, 226748959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6 = -2*c + 602, -451 = -3*g + c. What is the derivative of -g - 355 - 123*s + 646 wrt s?\nAnswer: -123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -217, -4, 0, -16, -2 in ascending order.\nAnswer: -217, -16, -4, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 - (-224)\/(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1072 or -63?\nAnswer: -1072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 573 = -18*h + 525 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8751 + -15.3671. What is b rounded to 1 decimal place?\nAnswer: -14.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170.707 + 0.3.\nAnswer: 171.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30168.04188 + -30168. Round i to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4028113751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-216)\/27 - (-62 - -2). What is the common denominator of c\/(-4)*(-7)\/(-2) and (354\/(-8))\/(6\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z - 3 = -2*q, -6 = -2*q + 2*z. Suppose 2*m - 8 = q, l + 6 = 2*m - 1. Which is the closest to l? (a) 0.5 (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 67733819.99869\nAnswer: 67733817.99869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 4*u**2 - 20*u**3 - 20*u**3.\nAnswer: -40*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4259758 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**5\/20 - 29*d**4\/12 + 16*d**3\/3 + 5*d**2 - 6*d. List the prime factors of z(28).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*t - 21, 14053*t + 18 = 14054*t + 5*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264 + 92 + 81 + 91 + 71*p**3.\nAnswer: 71*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6256.99995157 + 6257. Round s to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 12, -4*t = -2*d - 6 - 8. Let j be -1 + 58*1\/t. Suppose 2*l - j = 8. Solve 5*z - l = -3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*j - 2*b + 35, 2*b + 10 = 4*j. Let d be j - 4 - (2 - 406). Suppose -5*v - d = -14*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32\/7*f**2 + 8\/7*f**3 - 64\/7*f + 32\/7 - 10\/7*f**4 + 2\/7*f**5 = 0. Calculate f.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-20) - (-4298)\/5) + 4. Let w = -859 + k. Solve -w*l + 35 = 3*i, 0 = -0*l - 5*l + 3*i + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -20*l + 2. Let g(t) = 1. Give 2*a(d) - 4*g(d).\nAnswer: -40*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1296 + -176. Suppose -14*x = -24*x + g. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7900035 by -11.\nAnswer: 718185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 4:41 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 8 = -r - 2*g, 3*g + 63 = 2*r. Let a = -10 + r. What is the highest common divisor of 40 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000094808 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*m + 15*m - 30, -4*m + 165440 = 4*d. What are the prime factors of d?\nAnswer: 2, 13, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-45))\/((-14)\/(-35)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44725, 43976, 42731, 40990, 38753, 36020?\nAnswer: 32791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**3 + a - 1. Suppose 5*j = j + 2*l + 12, 0 = -3*j + 5*l + 23. Let p be r(j). Suppose -m + p*m = 0. Solve w + 2*w + 3 = m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**4\/12 + m**3\/6 + m**2 - 5*m. Give y(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1860\/(-189))\/5 - -2. Let m be (1\/90)\/((-42)\/1065). Let y = m + g. What is the third biggest value in 1, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v - i - 23 = -19, 5*v = -4*i - 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/o**(1\/19)))\/o**(1\/6))\/((o*o**(-2\/23)*o*o)\/((o*o**(3\/11)*o)\/o)) assuming o is positive.\nAnswer: o**(-79441\/28842)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(6411285 + 8 + -4). Let g = 17711 - k. What is g rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 + 4114?\nAnswer: 4033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*y + 10. Suppose -3*h - 218 = -4*u - u, 0 = -y*u - 3*h + 150. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k. Let t(l) = 8*l - 12*l - 3*l. Calculate t(u(s)).\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*l = 4338, p + 4*l = -2*p + 3253. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*h + 4. Let r be (-3 + h\/4)*4. Let k = 0.3 - -2.7. Which is the closest to k? (a) -3 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78640 and 3.\nAnswer: 235920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*g - 13, -2*g + 4 = -5*z. Let y be 7\/36 - (-1)\/4. Which is the closest to z? (a) y (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18929 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 991*h - 1209*h + 1138 = 0, -4*h = 2*u - 52 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/7)\/(-9*(-4)\/(-504)))\/(-1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1355, 1359, 1365, 1373?\nAnswer: 1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1625)\/2925)\/(2\/498)*6\/10?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8989 - 0.849. Round c to 3 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 11*i**2 + i + 2. Let c(f) = -6*f**2 + 13*f + 11. Let k be c(8). Let o = k + 258. Give j(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 0 - 1\/3*y**3 + 2*y**2 + 2*y. Calculate w(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2)*(-2)\/(-7). Let c = -157\/99 - -15\/11. What is the second smallest value in d, c, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/6 greater than or equal to 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*s - 163*s + 2784 = -17*s for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 3, 61, 1\/5, -0.21?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**7\/42 - h**6\/12 + h**5\/12 + 5*h**4\/12 + h**2 - h. What is j in l(j) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14748241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 202*i**3*p**2 - 2*i**3*p*t**2 - 5*i**3*p*t - 520*i**3*p + i**3 + 4498*i*p**2*t**2 - i*t**2 wrt p?\nAnswer: 404*i**3 + 8996*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - b - 66. What is the remainder when 29 is divided by u(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 198*m**3 - m + 2 + 3*m - 199*m**3 + 2*m**2 + 3*m. Let y = 1 - 4. Is n(y) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021 - 13?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 369431*k**4 - 4*k**2*l**3 - 4*l**3 - 7110*l**2 + 5*l - 2 wrt k?\nAnswer: 1477724*k**3 - 8*k*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1378)\/4*7474\/48581?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.8 and -0.08862119.\nAnswer: 0.71137881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -143*o**4 - 175*o**4 + 48*o**4 + (0 + 0 + 2*o**3)*(5*o - 2*o - o) + 6*o**4 - 4*o**4 - 4*o**4 + (-o**3 - 3*o**2 + 2*o + 3*o**2)*(4*o + 2*o - 2*o).\nAnswer: -272*o**4 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 1810 - 1845, 5*u + 39 = -4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 10 = -20. Let y be 1\/4 - 42\/8. Let k = 0 - y. Solve 3*d = -w + 6*w + x, -4*d = 5*w - k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 77*p**2 + 6*p + 4. List the prime factors of l(-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(4\/5)*o)*o*o)\/o)\/o*o\/(o*o**(-7)\/o*o)*(o*o*o\/(o\/(o*o**(-1\/10)))*o*o*o)\/(o\/(o**(-12)\/o*o)) assuming o is positive.\nAnswer: o**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**12*o*(o*(o\/(((((o**7\/o)\/o)\/o)\/o)\/o))\/o)\/o*((o\/o**12)\/o)**(1\/3))**(-13) assuming o is positive.\nAnswer: o**(-91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + 2 - (3 + -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669304*g + 334642*g + 8 + 334649*g - 8.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 0*m + 0*m**2 - 14 + 1\/3*m**3. Let j(b) be the first derivative of 8*b**3\/3 - 1. Give j(q(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Suppose -3*p = -5*p - 8, -p = -i*r + 102. Let u = 82 - r. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16167 (base 8) to base 3.\nAnswer: -100222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 71.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 362871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**23)\/m**(1\/38)*m**(-15)\/m**43 assuming m is positive.\nAnswer: m**(-3041\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -9 - (23 + -25)) + (22 - 6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3*sqrt(77) + sqrt(77)) + sqrt(77) + 2*sqrt(77)*4)\/(-4*(sqrt(1584) - sqrt(1584)*3)).\nAnswer: 11*sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*d = 137, 693 = 4*p + d + 166. Suppose -5*m + o + 319 = 0, 2*m - 30*o = -33*o + p. What is the greatest common factor of m and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/12*-28 + (962 - 3). Calculate the greatest common factor of t and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -199995.2*-173\nAnswer: 34599169.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36620 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1410 + 16?\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*c - 46 = 0, -4*j - 3*c + 83 = 2*c. Suppose -5*f = -32 + j. Solve 0 = -f*t - 2*t + 8, 0 = 3*o + 2*t - 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -9*i - 166. Let v be m(-27). Suppose -31 = 5*w - 3*f - v, -14 = -w - f. What is the highest common factor of 341 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 divided by 71.\nAnswer: -169\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3024 - 0.1874. Put q, -1\/2, 2\/3, -5 in ascending order.\nAnswer: -5, -1\/2, q, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 19 = l. Let h(y) = 16*y + 15. Let k be h(5). Calculate the highest common factor of k and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 4*a**2 - 12*a + 2. Let l be v(6). Solve -2*q - l = 4*o, 5*q - 6 = -o + 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o + 4. Let r(z) = -7*z - 8. Let u(m) = -5*l(m) - 3*r(m). Determine u(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 17*n + 0*n**2 - n**2.\nAnswer: -n**2 - 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, -2, -5, 2, -1 in descending order.\nAnswer: 66, 2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(13) - (sqrt(1573) + 1 + sqrt(13)) - (sqrt(13) - (0 + sqrt(52)))))**2.\nAnswer: 100*sqrt(13) + 1325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -436, -669, -504, 263, 1836, 4419, 8216, 13431?\n\"Answer: 34*g**3 - 5*g**2 - 456*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 20*m + 19. Let o be k(-21). Put -5, o, -1, 3 in decreasing order.\nAnswer: 3, -1, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3))**(5\/4))**(2\/3)*((a*a**(1\/5))\/a*a*a*a**(-2\/23)\/a)\/(a**(-2\/11)*a\/((a*a**3*a)\/a)) assuming a is positive.\nAnswer: a**(55222\/11385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89 - (2 - ((6 - -7) + -2)) - (0 + 13).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -210631 > -1053157\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20089?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 8*i**2 + 79*i + 613. What is q(16)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*n - 6 = 0, 2*n = -t - 0 - 6. Let i = t + 7. Suppose 4*b + 4*q - 32 = 2*b, -i*b + 3*q = -67. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 8 - 6)*(2*j + 3*j - 7*j + (3 + 0 - 2)*(-2 - j + 2) - 2*j - 2*j + 5*j - j + 4 - 4)*(-2 + 7 - 3).\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-250)*-5*8?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v - 3. Let n be l(-4). Let g = n + 39. Calculate the remainder when 93 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + l - l**2 + 24 - 27 + 1.\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/3 - 2650*h**4 + 1240064*h**3\/3 - 69784162*h**2\/3 + 564749909*h - 15088545680\/3 = 0. What is h?\nAnswer: 31, 65, 7792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (3 - 6 - -8) + -14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 425 divide 25551000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvrs when four letters picked without replacement from {s: 1, v: 7, r: 10}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 8 = 2*j, 4*j + 5*c = 8*c + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 3:50 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + (2 - ((8 - -1) + -46 + 29)) - 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -2 - (-2 - (1 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 16154*t - 16156*t - 14, 2*f - 7*t - 33 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 71 = o + 5*h, -52 = -2*o + h. Suppose -4*u - 5*d = -62, -o = -4*u + 2*u - 4*d. What is the lowest common multiple of 6 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*d - 88 = 0, -55 + 63 = 2*d. Solve -4*i = -4*y - 2 - 2, 0 = 2*y + 3*i + q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = -3*z - 3*q, 3*z - 25 = 5*q. Which is the second biggest value? (a) -1 (b) z (c) -0.4 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -6\/109?\nAnswer: -6\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y + 4*y)*(-290*y - 61 + 17*y + 61 + (4 + 1 - 2)*(-4 + 4 - 3*y)).\nAnswer: -564*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**6\/120 + 7*b**5\/60 - 29*b**4\/24 - 5*b**3\/3 + 122*b**2 + 5*b. What is v(-10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from fffdmdfffffdfddfdm?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (2 - 61\/(-1)). Suppose 27 + w = 8*v. Suppose -v*s - 138 = -17*s. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q - 4*g + 8 = 0, -2 = 4*q - g. Let y = 90 + -87. Which is the nearest to 0.3? (a) -0.3 (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*y = -2680, 2*u + 3*y - 839 = 243. Solve 103*v = -389 - u for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/97? (a) 0.193 (b) -5 (c) 1\/11 (d) -3\/8 (e) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007242 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 2461184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -463 + 625. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/((d\/((d*d**(2\/9))\/d))\/d*d)))**(-2\/75)\/(d**(-1)*d)**(-9\/2))**(5\/14) assuming d is positive.\nAnswer: d**(-1\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -557*i - 13394. Determine q(-24).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 11*h = 27. Is (6\/1 - -1058) + h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 1 + 1\/4. Let g = -27508 - -27513. Which is the second smallest value? (a) m (b) 14\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4391330 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-14)*9072\/(-1728).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -562757 - -325273445\/578. Find the common denominator of l and 61\/4.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2073, -2074, -2075, -2076?\nAnswer: -2077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 40 = -x - 12, -4*x + 37 = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*c - 14*c - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/15*(-45)\/3. Let i be (10\/(-10))\/(0 - 2\/b). Is i equal to 31\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 56\/196 + 254\/(-56). Let y = n + 43\/12. What is the second smallest value in 0, 1, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 + -2.92. Suppose 114*m + 11 = -86 - 17. Let s = -1 + 3. Which is the second biggest value? (a) m (b) s (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2)*p**(3\/4)\/p*p)\/(((p\/(p*p\/(p**1*p)*p)*p)\/p*p)\/p**6))\/(((p\/p**(6\/5))\/(p*p**(-1\/5)))\/((p*p**(-1\/3))\/p**(-3\/5))) assuming p is positive.\nAnswer: p**(451\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16190, -32364, -48538?\nAnswer: -64712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1252186 by 96322.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of (21 - (-1 - -3))*(-12)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6346*t**2 + 901136*t + 568 = 0. Calculate t.\nAnswer: -142, -2\/3173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -502445120 + -16?\nAnswer: -502445136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**4 - 11*s**2 - 6*s + 6. Let q(o) = 11*o**4 + 23*o**2 + 13*o - 13. Let f(x) = 6*q(x) + 13*w(x). What is the third derivative of f(g) wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0.2. Let z = -2781 - -2780.9. What is the nearest to 4\/7 in -2\/13, z, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 42*h**2 - 6*h + 9. Let y be z(3). Let q = 18 + -13. What is the second derivative of -y*f**4 + 369*f**4 - f**q - 6*f wrt f?\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 69 + 40 + -73 - -105?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -a70c6?\nAnswer: a70c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, e: 2, p: 6, j: 2, s: 1, x: 3}. Give prob of sequence se.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5\/((-25)\/20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1053*x**3 - 755*x**2 - 6*x + 12. Let l(q) = 6*q**3 - q + 2. Let d(h) = 6*l(h) - u(h). What is the third derivative of d(n) wrt n?\nAnswer: 6534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11561286.\nAnswer: 2, 3, 11, 59, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*u - 22 = 0, -37*a - 6006 + 6088 = -2*u + 13*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 127 - 246. Let o = -119.0104 - w. Round o to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/4*(-4 + (-48)\/(-42)). Which is the third smallest value? (a) 0.3 (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26280 and 270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 31*s + 208 = 34*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 16 = 10*u. What is the nearest to -1 in 4, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, e: 1, l: 4, s: 1, u: 1}. What is prob of picking 1 s and 2 l?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, c: 2}. Give prob of picking 2 p and 1 c.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23\/(644\/42) - (0 - -2). Let u be (3 + -12)\/(-3) - 3\/2. Let h = 1.7 + -2. Put j, h, u, 0 in ascending order.\nAnswer: j, h, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 7*w - 24. Let f = 5.076 + -5.076. Which is the third smallest value? (a) w (b) 0.3 (c) -5 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 26597 + -82501\/3. Let k = 878 + j. Let i = k - -23\/6. What is the common denominator of -85\/2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/2 - (-5 - -7). Factor 0 - 1\/2*a + m*a**2.\nAnswer: a*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/14 and -51\/5468.\nAnswer: 38276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, z: 1, h: 10, j: 4}. What is prob of sequence hjjx?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5 = -w, -5 = 2*f - 4*w + 3. Suppose -7 = -f*v + 25. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253438342 a multiple of 869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6596 is divided by 3297.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*l = 93*l - 1718399856. Suppose -21*t = -17*t + 3*r + l, 5*t - r = -179000004. Round t to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 6. Let u = 2.03 - 0.03. Let g = u + 2. Which is the biggest value? (a) g (b) s (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-12))\/((4\/45)\/(1020\/765))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 151726087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 47*y + 106. What is the hundreds digit of u(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 + 1)*((-208)\/(-32))\/13. Solve 4*x + 4*k = -k - 7, 0 = b*x + 2*k + 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 + 3 + -16 - 17) + -16?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 3366.\nAnswer: 16830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 7 = -14. Let r be f\/6*2 - -234. Suppose -g = 4*y - 83, 2*g - 4*y = -g + r. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i. Let t(y) = 2 + 5 + 4*y - 8*y - y. Let w(f) = 5*f - 6. Let j(u) = -6*t(u) - 7*w(u). Determine m(j(n)).\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 3780?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 123 = -6*g. What is the remainder when g is divided by 3\/(-3) + 3*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 265 divided by 7573\nAnswer: 265\/7573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/6*(-2)\/(-8). Solve 3*d = -k*d - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60612143 + 3?\nAnswer: -60612140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6\/25, 0.08, 5, -4, -11 in increasing order.\nAnswer: -11, -4, 0.08, 6\/25, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 309, 1198, 2679, 4752, 7417, 10674?\n\"Answer: 296*n**2 + n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 6*b**2 + b + 4. What is u(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 537480 to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9 and 257852020554?\nAnswer: 257852020545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -553000 to the nearest ten thousand.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -32*a + 1065. Determine r(47).\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003601819 to 4 dps.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3*(4 + sqrt(76)\/sqrt(4) + 0 + 2*sqrt(304) + -2))**2 + -4).\nAnswer: -83298 - 1944*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 12*x - 4. Let d(u) = 2*u**2 + 23*u + 9. Suppose -61 = -3*f - 40. Let o(l) = f*a(l) + 4*d(l). Let y be o(-9). Solve -4*w - 3 - y = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 2430 = 4718 - 2392 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147205, 147215, 147225, 147235, 147245, 147255?\nAnswer: 147265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 5868076243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 147217?\nAnswer: 14721a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/8 - 112937*q\/8 + 2172555\/2 = 0.\nAnswer: 77, 112860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73\/4 - -19. Suppose 148 - 16 = -40*q - 28. Let g be 2\/7 - (-33)\/7. Which is the closest to z? (a) g (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*i - 905, -3*i + i + 595 = -3*o. Suppose -4*m + 2*m + 142 = 2*v, -3*m = -4*v + i. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3401200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - -131300?\nAnswer: 131321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -88106 (c) -2 (d) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*u - 670*u - 264 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 19 (c) -0.021\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86684, 86957, 87412, 88049, 88868, 89869?\nAnswer: 91052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9065948407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 3*r**2 + 5*r - 7. Let x(j) = -19*j**3 + j**2. What is the lowest common multiple of x(-1) and i(-5)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000020243 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 divided by -4.\nAnswer: 79\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.3756183 to one dp.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142750726587*r + 142750726587*r + 9*r**2.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -1c?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24938 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**3 - 4*b**2 + 3*b + 1. Let r(v) = -7*v**3 - 6*v**2 + 5*v + 2. Determine 8*d(x) - 5*r(x).\nAnswer: -5*x**3 - 2*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 138*i - 2774. Give s(114).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-1) + (-128109)\/(-39150). Let v = k - -4\/725. What is the common denominator of 119\/6 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 91, 138?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/5)\/(12\/40). Suppose 0 = f*r - 3*s + 22, r + s = 2*s - 5. What is the least common multiple of 31 and (1 - r)*(-2)\/(-4)?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5077 - 1503. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 1:24 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7102373 or -2?\nAnswer: 7102373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5777, 45759, 154249, 365501, 713769, 1233307, 1958369?\n\"Answer: 5709*l**3 + 19*l + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -154566 + 6\/3*-1. Let v = 80547 + f. Let n = 14021 + v. Round n to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 280 or -0.2?\nAnswer: 280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqsqnqnpppqvqn. What is prob of picking 4 p?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5\/11 - 52*s**4\/11 + 42*s**3.\nAnswer: -2*s**3*(s - 7)*(s + 33)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((0\/5)\/2)\/1)\/(84\/(-28))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q**3 - 2*q**2 + 0 + 0*q - 1\/4*q**4. Let a(o) be the first derivative of -o**2 + 6. Give a(d(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4691400 by -234570.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*s**5*y**3 + 9*s**5*y**2 - 3*s**2*y**2 - 74*s*y**3 wrt s.\nAnswer: -240*s**2*y**3 + 540*s**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -aab (base 13) to base 9\nAnswer: -2454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 9*x - 14*x + 4*z, -17 = -4*x + 13*z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 25. Let q = -8 + b. Let h be (0 + 0)\/(-4 + q). Solve 2*z + 4 = 2*c, -5*z - 12 = -h*z - 4*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**6\/75 + m**5\/50 + 3*m + 3. Let r(t) be the first derivative of z(t). Factor r(h).\nAnswer: 2*h**3*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -236986891*j**2 - 4216*j + 19 wrt j?\nAnswer: -473973782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 7. Let h be g(-8). Is -3 - (-2 - h)*180 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - 1386\/42)*(-1)\/6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-46 - y**2 + 329*y - 159*y - 169*y).\nAnswer: 2*y**2 - 2*y + 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -7393 less than -7396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.6, -234, 4\/9, -1, -5, 2\/21 in descending order.\nAnswer: 4\/9, 2\/21, -1, -4.6, -5, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -55*b + 587. What is the remainder when z(9) is divided by 65?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 2868856958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 6 - 0. Let n be (2\/k)\/(1\/3). List the prime factors of (8 + -2)*2*n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z - 16. What is h(-14)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**2\/4 + 78759*j\/4 + 334509 = 0. Calculate j.\nAnswer: -26236, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022284281 rounded to 4 decimal places?\nAnswer: -0.0223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqrkikq. Give prob of sequence qdk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1532*o - 271178. Calculate v(-177).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.05659, -1000, -9?\nAnswer: 0.05659","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**5\/30 + a**4\/6 + a**2\/2 - 3. Let y(v) be the second derivative of b(v). Solve y(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2130, -10, -0.00445 in decreasing order.\nAnswer: 2130, -0.00445, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.93 and -2?\nAnswer: 7.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -5, -1 in increasing order.\nAnswer: -20, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*d = 4 + 20, 2 = d. Let b be q\/480 + (-2)\/12. Sort -0.5, -2\/5, b, 0.06 in descending order.\nAnswer: 0.06, b, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/11)\/(f\/f**(-5\/2)))\/(f*f**(2\/5)*f\/(f*f\/((f**(-7)\/f)\/f))) assuming f is positive.\nAnswer: f**(581\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 505423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 18596*k - 1078572. Give o(58).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3046 greater than or equal to -2367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 + -2. Let o be -4*((-270)\/104 + (-20)\/130). Let d be (-1 - 3)\/(-28) + 18\/21. What is the biggest value in d, u, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112214 + -2?\nAnswer: 112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3 + (4 - 2 - 3)*(4 - 2 - 1) + 69 - 71 - 46)*(-3*c - 4*c + 8*c).\nAnswer: -47*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 - -13?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 984, 3, -2, -3 in descending order.\nAnswer: 984, 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7774551?\nAnswer: 3, 37, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7878, -15757, -23636?\n\"Answer: -7879*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 289*m - 48 - 20*m**2 - 289*m.\nAnswer: -20*m**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4131) + -3*sqrt(4131) - (1*sqrt(306)\/sqrt(6) - sqrt(51)))\/(-3*2*sqrt(75)*1).\nAnswer: 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.71 + 9288690.\nAnswer: 9288689.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79126832?\nAnswer: 2, 547, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 159441 + -0.138\nAnswer: 159440.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 6670\/((-100)\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3542, -5, 3 in descending order.\nAnswer: 3542, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105366 + 105339. Let f = -5.3 + 5. Which is greater: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 2370480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 6*l + 3. Let z be j(-5). Let m = z - 6. Let w be ((-6)\/(-9))\/((-2)\/(-9)). Solve m*t = -w - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - b74d53b?\nAnswer: -b74d53a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*p - 10 = -0*p, -4*a - 2*p + 4 = 0. Solve -9*o - 4 + 22 = a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -632 bigger than -630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35883333.\nAnswer: 3, 3987037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*((2\/7)\/(60\/(-168)) - -1). Is t at least as big as 0.489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10.119, -3, -2\/13, -1\/117?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 5*h + 172 + 21 = 8*t - 21, -94 = -3*t - 2*h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -250*((-8)\/70)\/((-2674)\/9359).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.79574 grams to milligrams.\nAnswer: 34795.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z - 9. Suppose -2*u = 5*b + 2, -z*b - 3 = -2*b + 3*u. Let g = -328 - -332. Solve 5*p + 4*l + 23 = b, -p + 4*l = -g*p - 17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 + (-10 - -10 - (4 + -8))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z - 559 + 4*z - 2*z - 715.\nAnswer: -3*z - 1274","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 + 8*b - 11. Let u(w) = -2*w**2 - 9*w + 12. Let d = 1769 + -1762. Determine d*v(a) + 6*u(a).\nAnswer: 2*a**2 + 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 + 47. Find the third derivative of 2964 - 12*d**3 + 8*d**g - 2964 wrt d.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2737 or 2738?\nAnswer: 2738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6272 - -18262. What are the prime factors of c?\nAnswer: 2, 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + 6 + 4590\/(-714)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.04 - -0.8. Let f = o + 0.34. Let w = 950\/7 - 136. What is the closest to f in 0.4, -1, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f**3 + 537*f**2 + 18*f - 537 = 0. What is f?\nAnswer: -1, 1, 179\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 5*s + 4*s)*(-3*s + s + s) - 4155*s - 1039*s**2 + 4155*s in the form z + o*s + h*s**2 and give h.\nAnswer: -1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9183950 and 0.2.\nAnswer: 9183950.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 800, 816, 834, 854?\n\"Answer: n**2 + 13*n + 786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*n - 5*n. Let d(u) = -2*u**2 + 5. Let z(g) = -1. Let o(i) = -2*d(i) - 10*z(i). Let t(m) = 5*m**2. Determine n*t(q) + 3*o(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10300404432 + -3?\nAnswer: -10300404435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -47*u**3 + 937*u**2 - 4640*u - 300 = 0. Calculate u.\nAnswer: -3\/47, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2\/7 (c) 47.7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 15*p**2 - p + 9. Let q be g(-15). Let j = 127 - 31. What is the highest common divisor of j and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 5. Put 8, q, 4 in increasing order.\nAnswer: q, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -64, -65, -66?\n\"Answer: -r - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b. Let l(f) = 5 - 5 - 162*f**2 + 129*f**2. Determine l(g(m)).\nAnswer: -132*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10112221202 (base 3) to base 2.\nAnswer: -10001000100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 8*z**2 + 7*z - 4. Let b be 2\/4 - (-159)\/318. Let i(s) = -s**2 + s - 1. Calculate b*m(o) - 5*i(o).\nAnswer: 2*o**3 - 3*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m**2 + 2*m**2 - 6*m**2)*(m**2 - 3*m**2 + 5*m**2).\nAnswer: -39*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**6\/120 + h**5\/20 + h**4\/16 - 7*h - 1. Factor p(w).\nAnswer: w**2*(w + 1)*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -14587*n + 2295. Is t(-74) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khiv when four letters picked without replacement from {u: 1, i: 1, v: 1, h: 1, k: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 2*a - 2*a)*(-5*a + 7 - 7).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**4\/12 - 8*j**3\/3 - 11*j**2\/2 - 22*j. Calculate the remainder when o(-12) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-1)\/(-2))\/(12\/(-4)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -59\/3? (a) -0.2 (b) 1\/8 (c) -138 (d) -1\/3 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 4*t - 1868, 0 = -5*x + 46*t - 47*t + 1833. Calculate the highest common factor of x and 13432.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, l: 4}. Give prob of sequence rrl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5 + 20*t**4 - 63*t**3 - 32*t**2 + 268*t - 192 = 0. What is t?\nAnswer: -2, 1, 2, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -178.\nAnswer: -7\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 9:50 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1\/2, 272, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + -87.5. Let j = -6.5 - m. Let f be (-2 + (0 - -1))\/4. Which is the fourth smallest value? (a) -2 (b) j (c) -1\/2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 5*u**2 + 7*u - 6. Let h = -7720 + 7716. Give w(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 22*u**3 - u**2 - 3 + 27*u**3 + u - 40*u**3 + 55*u**3. What are the prime factors of n(2)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*y - 0*y + 4*i, i = 5*y - 14. Suppose -64 = y*o - 3*o. Suppose 0 = -b + 5*b - o. Solve j = 5*j - b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 289848\/3121 or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i + 0*i**5 + 6*i**5 - 2*i**5 - i**5 wrt i?\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -181.87 and -400.3.\nAnswer: 72802.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*h - 22, 4*h + 44 = 4*u + 5*h. Let q(t) = t**3 - 5*t**2 + 2. Let v be q(5). Suppose -v*g + u = -g. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/4 + (-113)\/(-4). Let g(z) = -142*z + 876. Let l be g(4). What is the greatest common factor of l and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 4 - n + 3*n - 4*n. Let z be m(6). Is 19 + -1 + 2\/z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*b**5*f - 3*b**5 + 75*b + 3*f + 1 wrt b.\nAnswer: -200*b**3*f - 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 = 0, 5*j + 2*g - 25 = 7*g. Let t = 2 + -6. Put 6, j, t in increasing order.\nAnswer: t, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-9 - 1) - (870 - 909).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48033 is divided by 16011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 389 in -0.2, -1\/6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15542 + 12455 = 4*t + 5*l, 4*l + 34945 = 5*t. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 4*b + 13, 10*x - 28 = -x - 5*b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8951109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-15))\/(2\/(-10)). Suppose 0 = -a*f + 5*b + 16, -b = f + 3*f + 12. What is the tens digit of 20*(3 + f)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 113, -12, -221, -514, -891?\n\"Answer: -42*s**2 + s + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1423*s + 1421*s + 1422*s - 7116*s + 1429*s + 1422*s - 1.\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 312\/4732*(-3783)\/(-194)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42199403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5*23\/((-12673)\/290).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10209 - -10196) + 4 + -1 + (0 - 59)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91896145 is divided by 4216?\nAnswer: 4209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npnbbbn. What is prob of picking 3 n and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1291 in -0.1, -0.6, -139, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 1)*((0 + 0 + 1)*(-3 + 1 - 2) + 0 - 2 + 1)*(3*m - 6*m - 6*m) to the form y*m + r and give y.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**4\/2 - 3*y**3\/4 - 82*y. Factor r(l).\nAnswer: -3*l*(4*l + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccr when three letters picked without replacement from {m: 1, r: 1, c: 4, u: 9}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j - 3. Let r be o(2). Suppose 3*v - 24 = 6*v. Which is greater: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -7196895149?\nAnswer: -7196895143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g + 2. Let l be r(-9). Let f = 33 + l. Is f\/2 + (-2975)\/(-34) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 12 = -5*q. Let m be 1\/(2\/(-144)*q). Suppose 0*h + m = h. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 8 = -2*t, 21 = -s + t + 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71465.5 or 3.85?\nAnswer: 3.85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189*68360.\nAnswer: -12920040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 169, 318, 465, 610, 753?\n\"Answer: -r**2 + 152*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90\/3941 - 289711\/433510. What is the common denominator of l and -145\/726?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {i: 6, c: 3, h: 3, o: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/161208274 and -26\/12726969.\nAnswer: 483624822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 0, 0.3, -0.3, -0.1, -1\/12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.5, 1, 5, 3\/7 in ascending order.\nAnswer: -5, 3\/7, 0.5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*j + 221 = 0, -233 = -4*k - 2*j - 19. Calculate the lowest common multiple of 1 and k.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1002342 divided by -1.\nAnswer: 1002342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 11*s**3 - 10*s**3 - s**2 + 2*s + 30*s**2 - 17*s**2 to v*s**3 + h + o*s + k*s**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -28*h**3 + 7*h**2 - 5*h - 44. Let u be z(-4). Let d(o) = -1880 + u - o. Let n(g) = 28*g + 2. Determine d(n(t)).\nAnswer: -28*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - -2)*-1 - (-14 - 91*(-39)\/273)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 8215?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-3570)\/(-2380))\/((1*-1)\/26))?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqqm when four letters picked without replacement from xmmqxqqmux.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 243331836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*p = 3*p + 185, 4*p = 3*i - 112. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or -32.95?\nAnswer: -32.95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkznkzkkkkzkkkzz. What is prob of picking 1 n and 1 k?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103864408 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12\/114 - 68*16\/(-1216)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 366?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 5:47 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(b\/((b*b**1*b*b)\/b))))\/(b\/b**(-3))*(b**(-2\/3))**(-32))\/((b\/b**0)**(3\/13)\/(b**0*b*b)**(-3\/13)) assuming b is positive.\nAnswer: b**(532\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 65 = -9*w. Suppose 63*s = w*s - 32. Calculate the remainder when 62 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 462, 477, 502, 543, 606, 697, 822, 987?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 308429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3))\/y**(-5)*y**(-1\/4)*(y\/(y*(y**6\/y)\/y*y))\/y assuming y is positive.\nAnswer: y**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -918*u**3 - 11*u**2 + 7*u - 9. Let i be (28\/(-12))\/(2\/(-6)). Let d be l(i). Let x = -3684627 + d. What is x rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 435 and 4263?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1268 is divided by 124.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -11*p**7\/35 - 23*p**4\/24 + 42*p**2. What is the second derivative of f(j) wrt j?\nAnswer: -792*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 67.6. Let g be (-4)\/(-30)*3\/4. Sort n, 7, g in decreasing order.\nAnswer: 7, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 7*j + 9. Let g be i(-6). Suppose g = 7*b - 39. Calculate the smallest common multiple of 7 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/109 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - 3.82. Let l = g - -0.12. Put 0.1, 2, -6, l in increasing order.\nAnswer: -6, l, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**6 - 19*s**4\/12 - 17*s. Find the third derivative of q(l) wrt l.\nAnswer: -720*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197 + 2*w - 188 - 221.\nAnswer: 2*w - 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3046136?\nAnswer: 2, 37, 41, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 8:31 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*z - 115*z + 221*z - 19*z**2.\nAnswer: -19*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o**3 - 79*o**2 - 296*o + 2850. What is x(10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 19*g**2 + 21*g - 16. Let t be a(18). Calculate the highest common factor of 418 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.16 minus -100821355?\nAnswer: 100821358.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(sqrt(13) + sqrt(13) + 0 - sqrt(13))*6)**2 + sqrt(130)\/sqrt(10) + 4 + (sqrt(143) - (sqrt(143) - (sqrt(143) + sqrt(143)*-4)))\/sqrt(11).\nAnswer: -2*sqrt(13) + 5620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.074 take away 299?\nAnswer: -298.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -3. Let r be 2 + (1 - -1 - 0). Suppose 5*j + 25 = 5*a, 10 = 2*a - r*j - 6. What is the remainder when a is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*l = 7*l - 6, -5*p + l + 18 = 0. Suppose 2*z - 6*z + 39 = p*h, 2*z = 0. Let d = h - 9. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 - 3*k + 3. Let i be c(1). What is the second derivative of -16*j**3 + 3*j**3 - 38*j**3 + 10*j + i*j**3 - 3 wrt j?\nAnswer: -294*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -643505 (b) -0.09 (c) 1\/2 (d) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from jgv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 3\/4 (c) -1 (d) -3 (e) -6 (f) -9.3 (g) 2\/869\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m - 21. Let a be k(10). Let s(z) = z + 1 - 11 + a. Determine s(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 3*a - 2 + 12, -2*l = 5*a + 12. Let r be 0 + l + (5 - 1). What is the remainder when (r - 1)*(-61)\/(-2) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 25, 21213, -8.\nAnswer: -8, -2, 25, 21213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -10*y**2 - y - 1. Suppose -5*n = -k + 122, 0*k = -n - 4*k - 37. Let f = -20 - n. Suppose -f*q + 25 = 30. Determine c(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4030925345 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 5*u - 3*u + 4*u**2 - 2*u.\nAnswer: 4*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7533031*z**4 - 2278895*z?\nAnswer: -90396372*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0917499 rounded to four dps?\nAnswer: -0.0917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -2\/3 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, y: 5, t: 6}. Give prob of picking 2 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, -6, -5, 1, -4, 110 in ascending order.\nAnswer: -99, -6, -5, -4, 1, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*h**3 - 27*h**3 - 23*h**3 + 85*h**3 - 19*h**3.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 14 = -7*u. Calculate the least common multiple of (-3 - (-1)\/1)*-9 and (10 - (-2)\/(-2)) + u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4848*p + 1624*p + 1612*p + 3*p**3 + 1612*p.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 216360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 6*v + 5. Let s(n) = -n**2 - n + 2. Let f be s(0). Let u be -2*f + (-10 - -7). Let c be a(u). What is the greatest common factor of 24 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**4\/4 + 51597*q**3\/4 - 217696299*q**2\/4 - 35913693321*q\/4 - 35478094311\/2 = 0.\nAnswer: -157, -2, 8679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -574 + 7?\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, d: 2, j: 7, z: 4, k: 2}. What is prob of sequence mkmd?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/3 + 7857530*q**2 + 47145198*q + 70717806.\nAnswer: -2*(q - 11786301)*(q + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 59094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 9 - 94)*(2*y - 2*y + 2*y) to p + c*y and give c.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2890, -2888, -2886, -2884?\n\"Answer: 2*c - 2892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 25. Let v(f) = -f**2. Determine v(d(h)).\nAnswer: -h**2 - 50*h - 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1326931557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 98*i - 1172. What is g(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24669 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 82.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, -236, -245, -258, -275?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -91*a + 188. What is the tens digit of r(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*k + 22, 4*y - 5*k + 2*k = 23. Suppose 4*r + 20 = -4. Is 2 + y - 2790\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 + r - 1\/2.\nAnswer: -(r - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18403 is divided by 361.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pypp when four letters picked without replacement from {p: 6, y: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -81\/7*m**2 - 72*m + 84 - 3\/7*m**3 = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158790225 to the power of 1\/2, to the nearest integer?\nAnswer: 12601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (2 - 5) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 5*f + 2. Suppose -2*b = z - b + 10, -z - 13 = 2*b. Let w be k(z). Let g = w + -1. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231150.\nAnswer: 2, 3, 5, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ac1 + 9?\nAnswer: -ab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39.028 + -0.028. Let x = -41 + i. Which is the second smallest value? (a) 1 (b) 1\/4 (c) -0.2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, z: 7, y: 6}. Give prob of sequence szy.\nAnswer: 49\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, -4, -17, 0.03, -0.3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyvvvvvvvvv. Give prob of sequence yyyv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22042032.\nAnswer: 2, 3, 459209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364300 (base 8) to base 12.\nAnswer: 604a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, 3, 21, 57, 117?\n\"Answer: n**3 - n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54741147.\nAnswer: 3, 19, 673, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-10 - -32) - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -97\/4. Let m = 2.98 - 0.98. Which is the nearest to 0? (a) m (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73 - 68 - 982 + 110)*(m - 3*m - m).\nAnswer: 3039*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 24 + (9 - (-1 - -3))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11613\/10 + -1167. What is the common denominator of (8 - (-202)\/(-8))\/(2\/4) and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 12 = -2*m, 52*j - 55*j - 24 = 0. Sort m, 0, -15, -4, 4 in descending order.\nAnswer: 4, 0, m, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (66 - 78) + 33 + 2 + -2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24316704 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 12:24 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.13 - 0.02. Let k = -0.01 + f. Let j = 46504 - 46499. Which is the smallest value? (a) -5 (b) k (c) -5\/2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 651*m**2 - 1055*m**2 - 5*m + 124*m**4 + 406*m**2 - 2 to x*m**3 + g*m**2 + o*m**4 + a + i*m and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5077? (a) -0.1 (b) 2\/17 (c) -1\/4 (d) 0.1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 758486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/17? (a) 1 (b) -0.3 (c) -698 (d) -2 (e) 6\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*s + 3*s + 9, 2*s - 14 = 4*n. Let o = n - -11. Let c be 2 + (4 - (-9)\/(-3)). Solve 11 = -y - 5*h, 0 = 6*y - c*y + 2*h + o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -p - 2*r + 29, -3*p - 5*r = -521. Calculate the remainder when p is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (371 - 654*m**4 - 371)*(0 + 1 + 1 - 7*m).\nAnswer: 4578*m**5 - 1308*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 - g - 7. Give j(-6).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8343 (base 11) in base 13?\nAnswer: -5058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0570687224 and -2?\nAnswer: -0.1141374448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/10 - (-56)\/20. Suppose u*q - 1819 = -4*i, 2*q + 395 - 1605 = -2*i. Is 601 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62 and 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -269, -829, -1755, -3047, -4705?\n\"Answer: -183*n**2 - 11*n - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1728)\/672)\/((4\/(-154))\/(-1)).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j - 23. Let n(l) = -3*l + 8. Determine -6*i(w) - 17*n(w).\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 6*z + 10*z + 16, -23 = -2*u + 3*z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(500))\/(sqrt(576) + sqrt(576)*-1 + sqrt(4)).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 129, 134, 141, 150?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = d + 12. Suppose -5*s - d*n = -14 - 1, -20 = -5*n. What is the remainder when 47 is divided by 18 + 3\/(s - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*j**3 + 4 - 4 + 2*j - 36*j**3 + 2*j**2 to v*j + p*j**3 + l*j**2 + i and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 119*(-2)\/(-118) - 2. Let s = 103\/885 + g. Let n be (-2)\/18*0*3\/12. Which is smaller: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333510247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 128379670071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3150 or 3149?\nAnswer: 3150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23461572.\nAnswer: 2, 3, 1955131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 0*r - 3*x + 6, 4*r - 15 = x. What is the greatest common divisor of 66 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 1310*h - 100748.\nAnswer: -2*(h - 566)*(h - 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 77299806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 45. Solve a + 5*x = 2*x - h, -4*x = -4*a + 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/6 + (-2)\/6. Calculate the least common multiple of (-8)\/2*10\/(-4) and m\/((-45)\/24 + 2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*k + 15. Suppose 0*j - 5*j = -4*l - 35, 0 = -3*j - k*l - 16. Solve f - j - 1 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -0.157278?\nAnswer: -0.943668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3959.971 years?\nAnswer: 47519.652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5493 - 4048. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495776?\nAnswer: 2, 15493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85992?\nAnswer: 2, 3, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (5 - -3)) + 0 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33003373360 - 2692\nAnswer: 33003370668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(208) + 1)**2 + sqrt(13) + 5) + 4*((sqrt(832) + 0)**2 - sqrt(832))*2.\nAnswer: -55*sqrt(13) + 6870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 + -1.97. Let c = -1.99999983 - b. Round c to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -299*f. Let c(l) = -2*l**2 + 61. What is c(z(h))?\nAnswer: -178802*h**2 + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -4*q - 12, 5*q + 37 = -2*c + 39 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -7. Let o(g) = 3 + t*g**2 - 1 - 12*g - g**2 + 8*g. Suppose -3*m = -0*c + c + 10, 2*m + 4 = -2*c. Calculate o(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 31\/(-2) - 4\/(-8). Let w(h) = 5*h**2 + 37*h + 2. What are the prime factors of w(v)?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -u + 4*h - 8*h, -4*u + h = 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2. Suppose 3*w - 18 = -d, -5*w = 3*d - 40 - 6. Let p(s) = d*s - 20*s - 23*s + 0*s. Determine p(r(t)).\nAnswer: -31*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1358 + 0.6358. What is the closest to 0.2 in t, -1\/5, 10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-14 - -7) - (-4 - (0 - -2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/y**(-6)))**(-2\/13)*y**(-2\/27)*(y\/y**(2\/5))\/y assuming y is positive.\nAnswer: y**(1058\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 2*h + 3*h)*(-2*h + 3*h - 2*h)*(-2*h + 3*h + h)*(8*h**2 + 6 - 5*h**2 + 22*h**2).\nAnswer: 100*h**5 + 24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40962.8 and -0.13429061.\nAnswer: -40962.93429061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 42494850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.971646 tonnes in nanograms?\nAnswer: 971646000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20026.02649 rounded to the nearest 10?\nAnswer: 20030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, 4, -4.\nAnswer: -92, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 - 1709.9806821828.\nAnswer: -1710.7806821828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -3528.\nAnswer: -1\/504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c + 4. Let y = 17 - 22. Give o(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 19.900833 months?\nAnswer: 0.165840275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 465*24\/5400 - 8\/(-5).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(245) + sqrt(245))*3.\nAnswer: 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11363 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t + 0*t)*(4 - 25 + 0).\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m - 9*m = -4*h + 6, -2*h - 10 = -4*m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9322?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**3*r + 50*m**2*p*r - m**2*r - 10*m*p*r - m*r + 22*m wrt m?\nAnswer: 6*m*r + 100*p*r - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 140 = -162. Suppose b = 3*i - 56. Let f = i - 35. Calculate the remainder when 101 is divided by f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 5. Let r(a) = a**2 - 9*a + 14. Let u be r(7). Let p = j + u. Solve 0 = p*g - 4*g - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 8\/(-6 - 2)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-3) - (-4)\/(-22). Which is the closest to m? (a) 1\/7 (b) 0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 - 49. Let u be (-2)\/k*-1*749. Suppose -3*d + 5*t = -180, 4*d = -5*t + 3*t + u. What is the highest common factor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484, -2486, -5876, -10654, -16820, -24374?\nAnswer: -33316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*b - 94, 5*b + 4*r - 62 = 2*b. Let i = b - 24. Is (4 - 6)\/(i\/1479) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -11 (c) -16 (d) -1\/13 (e) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5728, 5833, 5988, 6193, 6448?\n\"Answer: 25*s**2 + 30*s + 5673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162898?\nAnswer: 2, 79, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38736 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m. Let r(w) = 5*w. Let k(h) = 3*n(h) - 5*r(h). Let i(t) = -2*t**2. Give k(i(g)).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(288))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r + r + 0*r. Let t = 5 - 3. Let i(p) = 3*p**2 - 3*p**2 + 2*p**t. What is u(i(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.45 + 24. Let q = 3.63 + -4. Let n = l - q. Round n to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17328, -34640, -51956, -69282, -86624, -103988, -121380, -138806?\n\"Answer: -q**3 + 4*q**2 - 17317*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 0 - 1\/2*a**2 + 4\/3*a**4 - 1\/3*a**3 - 8*a. Is w(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Let w(y) = 4*y + 4 + 6*y - 4. Calculate v(w(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 15661575458.\nAnswer: 15661575462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/(r\/(r**(-1\/5)*r)))\/r)\/(r\/(r*r**34*r)))\/(r**7\/r*r**(1\/15)) assuming r is positive.\nAnswer: r**(446\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p**(-1\/3)\/p)\/p)))\/(p\/p**(-11)))\/(p**22)**32 assuming p is positive.\nAnswer: p**(-2155\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -2*g**3\/3 + g**2\/2 + 9*g. Let k be 3\/(3\/(-12)*-4). Suppose 0 = 2*d - l + 5 - k, 3*d = l - 3. Calculate r(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*s + 91*s + 70 = 0. Let n be (-194)\/(-7) - (160\/56)\/s. Which is smaller: 36 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 13*t**2 + 11\/24*t**4 + 11\/60*t**5 + 0*t + 1\/120*t**6 + 5\/2*t**3 + 0. List the prime factors of m(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10434101213 (base 5) in base 9?\nAnswer: 23783032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2795.74 millennia to centuries.\nAnswer: 27957.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 4:49 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.1. Let c = -26355 - -26828.12. Let z = c - 473. Put j, z, -2\/3 in ascending order.\nAnswer: -2\/3, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/8 and ((-413)\/84)\/(-3 - (-50)\/(-6)).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/2 + 10*19 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*p - 10 = x, -x + 7 = -5*p. Solve 3*f + 2 = x*d - 2, f + d = 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1216 - -1217. Are 4\/333 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -3*w**4\/4 - 49*w**3 - 936*w**2 - 1728*w - 18. Factor u(q).\nAnswer: -3*(q + 1)*(q + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(325))**2 + (sqrt(325) - -3*(sqrt(325) - ((0 + sqrt(325))**2 - sqrt(325)))).\nAnswer: -2275 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(84) - sqrt(84)*1) - (sqrt(84) - 6*-2*sqrt(84)))\/((sqrt(12) + -3*sqrt(1728) - sqrt(12)) + (sqrt(132) + sqrt(132)*-1)\/sqrt(11)).\nAnswer: 13*sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 8*t + 2. Let f be j(6). Let x = -62 + 76. Calculate the highest common factor of x and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -5 (c) 8 (d) 0.4 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-2046.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 29. Suppose 2*v + 132 = 4*f, -f + 3*v + q = -0*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*b = -520 - 308 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -768637*n**5 - 338412*n**2?\nAnswer: -46118220*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-272)\/(-80))\/((-4)\/40). Solve -i - 184 = -33*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.408 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -150, -11.5, 2, 2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**3\/11 + 3347*i**2\/11 - 4678*i\/11 + 1336\/11 = 0?\nAnswer: 2\/5, 1, 668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1676*x + 1680*x - w + 167, -3*x + x - 76 = 2*w for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 26. Suppose 0 = 4*z + 5*i + 749, 13 = 5*i - 2. Let a be 8\/(-12) + z\/(-3). Calculate the greatest common divisor of x and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 1098 (c) -1 (d) -2\/3 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200 + 202. Suppose j*o = -3*q + 25 + 33, 0 = -3*q - 5*o + 73. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -355 + 366. Suppose 5*h + n + 9 = 8*h, n = 4*h - r. Put -1, 0.01, h in decreasing order.\nAnswer: h, 0.01, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.017 - 42.983. Let t = 33 + u. Let s = t + 10.67. What is s rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4245575 (base 10) in base 14?\nAnswer: 7c7315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 2904*i - 2909*i = 0, -4*u - 5*i - 45 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/20 - 4923\/15. Let b = o + 477. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {v: 3, u: 7, w: 7, d: 1, t: 1}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 324.292mg in tonnes?\nAnswer: 0.000000324292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**4 + 66063*w**3 - 363858324*w**2 + 1815263232*w + 13087014912 = 0. Calculate w.\nAnswer: -4, 9, 11008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2 - 2*v + 0 + v**3 - 10*v + 12 - 10*v**2. Calculate the remainder when (0 - (-1 - -3)) + 7 is divided by s(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (90 - 32 + 28)*(-5*d + 0*d + 3*d + (2*d + 2 - 2)*(2 + 1 - 1)) to x + n*d and give n.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1198, -1195, -1192, -1189, -1186, -1183?\nAnswer: -1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3154?\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g - 9*g + 33*g)*(-4 + 5 + 3) - 41*g + 24*g + 18*g.\nAnswer: 69*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-21))\/((-3800)\/(-760)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 217, 3205, 11305, 27073, 53065, 91837, 145945?\n\"Answer: 426*m**3 + 6*m - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -4.9. Let i(m) = -m**2 + 2*m + 1. Let z be i(3). Suppose -3*y = x - 10, -3*y + 2 = -2*x - 5. What is the nearest to v in z, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7760786 is divided by 3751.\nAnswer: 3718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = z. Suppose 2*i - 7 = -3. Suppose -2*o + 114 = 5*c, -c - 3*o = -17 + i. Calculate the highest common factor of c and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 117*g + 85*g + 24552. Sort -0.1, -5, 2\/13, 0.1, g.\nAnswer: g, -5, -0.1, 0.1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (2 - -2)) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - t**2 + 2*t. What is k(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85254, 85267, 85280, 85293, 85306, 85319?\nAnswer: 85332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11534473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.11, 1056.16?\nAnswer: 1056.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -7, -1\/64, 213, -1\/5?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1529\/2 + -765. Which is the smallest value? (a) -2 (b) 10.37 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/11 (b) -45 (c) -292 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-15) + (-66)\/(-18). Solve -z - l*z + 4*s = 32, -14 = 2*z - 2*s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*h - 29627 = -27905 for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 - (2561\/(-2))\/13. What is the tens digit of n + 3\/6*-8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4218334880 by 4.\nAnswer: -1054583720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24463\/6 or 4078?\nAnswer: 24463\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-3)\/3)*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 85458 or 1794592\/21?\nAnswer: 85458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q + 9. Let n be j(3). Sort n, -1, -15 in ascending order.\nAnswer: -15, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9421 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, 3, 29, 71, 129, 203, 293?\n\"Answer: 8*p**2 - 14*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -53, 1.517 in descending order.\nAnswer: 1.517, -53, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + p + 16 = 0, 2*p - 50 = -5*l + p. Let g = 20 - 0. Let w = g - l. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*g + 5126 = 2770 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -655*t**2 - 190 wrt t?\nAnswer: -1310*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 4*n**2 - 2*n + 2. Let j(g) = -3*g**3 - g**2 + 1. Let r be 0 - (0 - -2) - 1. Let q be 0\/(-2) + (r - -4). Let b be j(q). Calculate o(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 446.\nAnswer: -3568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 12. Let j be (-3)\/c*(-352)\/12. What is the highest common divisor of j and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491738.\nAnswer: 2, 13, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**2 - 198*r + 4860 = 0.\nAnswer: 45, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 0*i**2 + 19\/12*i**4 + 0 + 1\/6*i**7 + 0*i**3 + 0*i**6 + 25*i + 0*i**5. Find the third derivative of f(n) wrt n.\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a microsecond in nanoseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -r + z, r + 2*z - 136 = 5*r. Let t = r - -33. Suppose u = -t*u + 5*u. Solve 4*x + 2*y - 22 = u, x - 5*y + 3*y + 7 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 282?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r - 139 = 3*c, 2*r - 3*c - 61 = 0. Solve 0*y - r = 4*w + 3*y, 3*w - 2*y = -11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528171.\nAnswer: 3, 7, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -47*c**2 + 31\/3*c**4 + 0 + 0*c**3 - 125*c. Find the first derivative of h(p) wrt p.\nAnswer: 248*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38469 is divided by 17617?\nAnswer: 3235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61086069323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 90\/63 - (-72)\/28. Solve 4*f - 7 = -m, -m + l*m = -5*f + 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 15*j - 12*j - 10*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -15*g**3 + 5*g**2 - 4*g - 3. Let n be a(-3). Let t = 1150 - n. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 1 - 273*q**4 + 271*q**4 - q + 48*q**3 + q**2 to j*q**3 + u + w*q + n*q**2 + g*q**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4104 - 4120 - (12 - 1 - 1)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**5\/20 - 13*x**4\/12 + 61*x**3\/2 + 2*x**2 - 6. What is the derivative of z(j) wrt j?\nAnswer: -6*j - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -35\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*b - 8*b + 40*b)*(2*b**3 + 3*b**2 - 3*b**2) + b**4 + 11*b**4 - 5*b**4.\nAnswer: 131*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28*48\/4032)\/(-4*46\/(-120)).\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1044034647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 66*v - 9 = 61*v, 2*r + 3*v = -1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -27*h**2. Let y be -1*(6\/(-4))\/(2\/4). Let c(p) = -y*p**2 - 4*p**2 + 6*p**2. Determine c(o(s)).\nAnswer: -729*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 91 = -4*a + 7*a, -2*a = -z - 66. List the prime factors of (154\/(4\/(-2)))\/(-77 - z).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - 1. Is 2\/c - (-154)\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000036061606 rounded to seven decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*l = -2*d + 65, -d - 2*l + 17 = 0. Calculate the remainder when d is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a meter in millimeters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/387 and -127\/20124.\nAnswer: 20124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 117.0322 milligrams?\nAnswer: 117032200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-132)\/(-48))*16\/(-42).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -283 - -282. List the prime factors of 50\/40*(a - -5)*23.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 24 - 19 = -5*g - 11 - 2, 5*o = 4*g - 24 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65490 = -25*n - 29668 + 92903. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 49.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 1.6. Let h = n - -8. Let k = h + -8. Which is the nearest to -1\/3? (a) 5 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**2 - 2*f + 180. Let j(g) = 32*g**2 - 13*g + 1080. Give 4*j(o) - 26*s(o).\nAnswer: -2*o**2 - 360","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4494.1 - -4494. Let y = -1298\/13 - -100. Which is the second smallest value? (a) q (b) 5 (c) y (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -613\/10 + 199\/5. What is the common denominator of r and -93\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c32a (base 13) to base 11\nAnswer: -19241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-3 + -1)\/4. Solve 2 = m - x*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -21258, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**2 - 1450*c - 105125 = 0.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1808*x - 1956. What are the prime factors of t(12)?\nAnswer: 2, 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 15*s + 5. What is the tens digit of u(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2152301m in millimeters?\nAnswer: 215.2301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.11 + -0.01. Let x = t + 0. Put 0.3, x, 3 in ascending order.\nAnswer: x, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4\/177, -0.5, -2\/43, -8, 0.03, 0.5?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -200.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a25 (base 16) to base 5.\nAnswer: -203233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 q when four letters picked without replacement from {s: 2, f: 2, g: 3, e: 3, n: 1, q: 3}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/8 - 243\/(-36). Suppose 5*w + 15 = -2*f - o, 3*w + 12 = -f. Let i(z) = z**3 + 4*z**2. Calculate i(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 12769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*s - 6 = -38, 4 = -m - 5*s. Let d = -4 - m. Suppose -f - w - 44 = -d*f, 2*w = 3*f - 38. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7373*n - 1459700. What is d(-198)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.0067 rounded to 1 dp?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 375 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 2edacc?\nAnswer: 2edad2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 109*z**2 - 3*z - 108*z**2 - 32 + 124. Calculate c(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.11 + -0.11. Let u = 16 - h. Is u greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**5\/20 + 5*l**4\/12 + 7*l**3\/6 + 2*l**2 + 5*l. Does 9 divide q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149753 by -383.\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03987735097 rounded to five dps?\nAnswer: -0.03988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -274 + 277. Solve -2*m + 7 + 3 = -4*a, s*m - 5*a = 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11001802 and 352057664?\nAnswer: 352057664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 - 54*t + 51. Give q(12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4) + 1)*24\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149 and 10132?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.104 + -2.174. Let s = 0.07 + x. Let v = 3 - 2.9. Which is the biggest value? (a) v (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x + 132. Suppose 19*k + 9*k - 504 = 0. Let t be n(k). Let p be (18\/5)\/(1\/15). Calculate the greatest common factor of p and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -542768*c**3 - 80*c**2 + 215972477*c wrt c?\nAnswer: -3256608*c - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 - (23 + -70 - 20) - (0 + 0 + 2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1322223 + -12?\nAnswer: 1322211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbbd when four letters picked without replacement from {d: 2, b: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 510, 1018, 1526, 2034?\n\"Answer: 508*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 4*p**3\/3 + 7*p**2\/2 - 3. Suppose -3*v - 30 = f - 5, 3*f + 12 = 0. What are the prime factors of z(v)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(3) + sqrt(192) + sqrt(3)) - (-1 + 2*sqrt(7) + sqrt(7) - (sqrt(343) + -1)))**2.\nAnswer: 11767\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89066, -89073, -89080, -89087, -89094, -89101?\nAnswer: -89108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2445 (base 7) to base 2\nAnswer: -1110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 252 - 244. Let a be (z\/7)\/(7\/49). Solve -6*y + 6 = -a*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 12*s**2 + 167*s + 7. What is the remainder when 601 is divided by h(20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2928 + -55631\/19. What is the nearest to -5 in -2\/7, f, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -152 or -150?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 844.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*a + 2*w, 12 = -a - a + 3*w. Let x(q) = -5*q**2 - 2*q + 33. Let i(g) = 15*g**2 + 7*g - 98. Let h(p) = a*i(p) - 8*x(p). Factor h(k).\nAnswer: -5*(k - 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 6*m**4 - 632516*m**3\/3 + 5538159146*m**2\/3 + 324583425512*m\/3 + 71856153832\/3 = 0.\nAnswer: -58, -2\/9, 17599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (sqrt(833) - (sqrt(833) + ((0 + sqrt(833))*3)**2)))*-6.\nAnswer: -224820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48 - 54*h**2 - 76*h + 80*h + 99*h**2 - 237*h**2 wrt h.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -31*i + 94. Calculate x(10).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*n + 79 - 179 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-216)\/396)\/((-2)\/11). Find y, given that 2*y**2 + 0 - 3\/2*y**n + 2*y = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -6189450.\nAnswer: 6189445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*90\/150*48\/(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.89 + -0.61. Which is the nearest to 0? (a) -0.3 (b) 3 (c) t (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3537 (base 8) to base 4\nAnswer: 131133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 172*l.\nAnswer: -2*l*(l - 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 146*r**3 + 3*r**2 - r - 1. What are the prime factors of n(1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/317 and 41\/175.\nAnswer: 55475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q. Let d(i) be the third derivative of -17*i**4\/12 - i**3\/3 + i**2. Calculate d(y(r)).\nAnswer: 34*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1141, 2281, 3421, 4561, 5701?\n\"Answer: 1140*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11428 and 18.\nAnswer: 102852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141121 - -84727735.\nAnswer: 84868856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107825673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 453306 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 26 = -6*j. Solve 0 = 3*z + k + 13, -5*z - 21 = 2*k - j*k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12415, 12406, 12391, 12370, 12343, 12310, 12271?\nAnswer: 12226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6108 + 6131 + (24 - -1).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*h = -190 - 290 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -4*l + 10. Calculate the remainder when l is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 136*f + 39*f - 22 - 35 + 18. Is y(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n + 50. Suppose 5 + n = 5*c. Solve d + 1 + c = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 18 + 22. Let m = s - -22. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3069 (base 12) to base 14.\nAnswer: -1cc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -14*o**3 - 17. Let a(z) = 5*z**3 + 6. Suppose -4*y - 8 = -0, -3*m + 2*y - 2 = 0. Let q be 1\/(m\/(-1 + -35)). Let x = q + -35. Give x*a(n) - 6*g(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2225 or -2055469\/924?\nAnswer: -2225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**5*o + 11*i**3*o**2 + 32*i**2*o**2 - 2*o wrt i?\nAnswer: -120*i**2*o + 66*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 13, n: 5}. What is prob of sequence pp?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-65*n + 25*n - n)*(3 - 4 - 1) + (1 + 1 - 4)*(2*n - 5*n + 4*n) + 2*n - 5*n - n as s + h*n and give h.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**4 + u**4 + 2*u**4 - 5*u**4 + 3*u**2 + 3*u in the form v*u**2 + m*u + a + r*u**4 + n*u**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31927 and 9637393?\nAnswer: 4561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.4 + -9. Let v = 0 - -1. Which is the second smallest value? (a) 2 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 24*w - 868. Let j be m(37). Solve 5*k - j = -0*k - 5*b, 5*k + 30 = 5*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 479*b**2 + 5*b + 1. Let m be p(-9). Let g = m - 271896\/7. Let u = 1289\/14 + g. Find the common denominator of u and -99\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**2 - 2*k - 2. Let p be (-2)\/14 - 18\/21. Let y be n(p). Put 5, y, -3 in decreasing order.\nAnswer: 5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-2*m**5 - m**3 + m**3) + 2*m**4 - m**5 - 2*m**4 + (-5*m + 14*m + 11*m)*(0*m**4 + 0*m**4 + m**4).\nAnswer: 17*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*p - 0*p. What is the remainder when 1\/((-1)\/2*p) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.96 and 6327.8.\nAnswer: 6074.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**3\/6 + j**2\/2 + 2*j + 20. Let u(c) = 4*c - 5. Let a(o) = 15*r(o) + 3*u(o). Let g(f) = -f - 6. What is a(g(w))?\nAnswer: 3*w + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**4\/4 + 2*y**2 + 430*y + 36. Is 10 a factor of b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/3 (b) -3\/4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 743.0224km in centimeters?\nAnswer: 74302240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*u**5 + 175*u**4 + 31979*u wrt u.\nAnswer: 220*u**3 + 2100*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 52 = 5*l. Let k = 43 + l. Let s = -21 + k. Solve 0*i + i + 2*w = -3, -3*i + w = s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.25 - 0.3. Let p = 2.05 + m. What is the second biggest value in 0.4, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2088 + 733*o - 838*o**2 - 733*o - 382*o**2 - 263 with respect to o.\nAnswer: -2440*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118400956 by -1.\nAnswer: 118400956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1207*c**3*y**3 + 222*c**3*y**2 + 98*c*y**3 - 4*c - y**3 - 12086 wrt y.\nAnswer: -7242*c**3 + 588*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -u + 36, 12 + 1 = 2*g - u. Let b be 4\/g - 1101663\/(-252). Let v = b - 4349. Find the common denominator of 143\/48 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02467 in 10, 2\/3, 1\/4, -7, -3, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 20 - (-7 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/4)\/(111\/(-74))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 146\/8 - (-2)\/(-8). Suppose -5*k + u = 3. Solve 6 = d + k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -72295 + 801. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -322.804 + -328106.\nAnswer: -328428.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 1. Let x(w) = 4*w**2 - 14*w - 14. Let z(u) = 5*o(u) - x(u). Let r be z(-10). Let i = 52 + r. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, -3\/2, -34?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/13785303 and 151\/31509264.\nAnswer: 220564848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*o**3 + 65*o**2 + 40*o - 140.\nAnswer: -5*(o - 2)**2*(5*o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**5\/60 + 29*c**4\/3 + 655*c**2. Solve h(k) = 0 for k.\nAnswer: 0, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 294.4891 times -5\nAnswer: -1472.4455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -668?\nAnswer: -15\/668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 90*(-106)\/(-350595)*21\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1563413*g - 14070716. What is k(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 1 = -2*s - 11, 5*d + s = 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: What is prob of sequence zak when three letters picked without replacement from akz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 41 + 1 = 0. Let f = 38 + a. Let y = f + 38. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 5:11 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101100001011000 + -111?\nAnswer: -100101100001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401239 is divided by 9119.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -61327613.57966?\nAnswer: -61327611.57966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 26*a**2 - 2*a + 58. Let k be y(26). Let p(l) = 0 - 136*l**3 + 7*l**2 + 2 - 137*l**3 + 274*l**3 + k*l. What is p(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.21 - 0.21. Let d = y + -0.7. Let n = -0.35 - 0.05. Put d, n, 0.07 in increasing order.\nAnswer: n, 0.07, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 8, -0.22 in decreasing order.\nAnswer: 8, -0.22, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + -2.64. Let g = 5 - 8. Let n = x - g. Which is the second biggest value? (a) -2 (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 1. Let q(a) = -3*a - 1. Let p(c) = -3*q(c) + 3*v(c). Let z(i) = i - 2*i + 0*i. Calculate p(z(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -268*h**2*p + 304*h*p - 38939*p + 2 wrt h?\nAnswer: -536*h*p + 304*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2))\/g**(6\/7) assuming g is positive.\nAnswer: g**(-13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 11*w - 2282 = -2102 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61.3 - -37.3. Let q = -37 - t. Which is the nearest to q? (a) -2\/3 (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75440 - -24760. What is q rounded to the nearest one thousand?\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(4\/3)*k*k\/(k*k\/((k*k**(5\/4))\/k*k)*k*k)*k)\/(k**(-10)*k**(13\/3)))**(-32) assuming k is positive.\nAnswer: k**(-632\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -508676056 divided by -63688.\nAnswer: 7987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 28. Let t be (-704)\/(-12)*6\/4. Calculate the greatest common factor of t and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -340803 - -1090228771\/3199. Let t = k + -37775\/19194. What is the common denominator of 47\/4 and t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 292030567026 and 0.133?\nAnswer: 292030567025.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:43 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -5*o**4\/12 + 61*o**3\/3 - 2*o**2 + 77. Let p be j(12). Let l = -0.01 + 0.41. What is the biggest value in l, p, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -31\/2*n**2 + 32*n + 0 + 0*n**4 + 3\/20*n**5 + 0*n**3. Differentiate q(c) with respect to c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s + 10*s + 2*s**2 + 1 - s. Is a(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1800, -5335, -10588, -17559?\nAnswer: -26248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5337 - 5344. Which is greater: c or 282?\nAnswer: 282","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -59?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 7:04 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2713*b - 2681*b = 384 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1447130 is divided by 169.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 61*r - 14*r - 21*r + 0 + 3*r + 42*r.\nAnswer: 71*r + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0 + 53*a + 1\/19*a**2 + 0*a**3 - 1\/114*a**4. Factor y(q).\nAnswer: -2*(q - 1)*(q + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11008320\/60 - 4*11\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/6)\/(5\/90)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1078 and 0.07 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:47 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) -0.3 (c) -3\/20 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 33*y - 45. Let p(v) = -4*v**2 - 50*v + 67. Let w(j) = -5*p(j) - 7*s(j). What are the prime factors of w(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 692*h + 1948 - 1256 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*y**5 + 15*y**4 + 19*y**3 - 2505184*y**2 wrt y?\nAnswer: -1260*y**2 + 360*y + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -4, 5, -2 in descending order.\nAnswer: 5, -2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.361324094 to 3 decimal places.\nAnswer: 4.361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 - 10 = 2*c, 3*k = 4*c + 7. Suppose 64*t = 60*t + 16. Let b be (t\/(-3))\/((-14)\/6 - -2). Solve -c*i + i + b*j - 15 = 0, 4*i = j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1748 + 1748 - 2*m**3 - 2*m**5 - m**4 + (-m**3 + 2*m**3 - 4*m**3)*(2*m**2 + 2*m**2 - 6*m**2).\nAnswer: 4*m**5 - m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2882009.75 to the nearest ten thousand.\nAnswer: 2880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29.4 + 30. What is the nearest to t in 5, -3, 59?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*a + 560. List the prime factors of (a\/50)\/(4\/10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 249*a - 82. Is c(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 115\/4. Which is the nearest to 1\/2? (a) -2 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 4*s, -w + 2 = -s. Suppose -t - g - 5 = 0, 0*t + w*g = -t - 3. What is the tens digit of 480\/22 + t\/(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1627 (b) 8 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {s: 1, a: 2, f: 2, r: 1, e: 2, m: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1890, 1185, 480, -225, -930, -1635?\nAnswer: -2340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akaaka. Give prob of picking 3 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 5:53 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1887 - 1886.9. What is the second biggest value in t, 2, -5\/229?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 32*t**2 + 5. What is the units digit of o(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + 3*2\/(-3). Solve 5*s + 22 = -y, -x*y - 2*s - 17 = 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f - 56 = 0. Suppose 0 = 2*t + 18 - 26. Suppose 141 = t*y - 15. What is the remainder when y is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 2, v: 1, c: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3 + 1\/3*w**3 + w**2 + w.\nAnswer: (w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1737348 - -1737290.98244. Let c = i - -57. What is c rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 4 - 1 - 2*h**4 + h + h**4 - h**2 as s*h**4 + f + z*h**3 + k*h + m*h**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101111121222 - 1101011?\nAnswer: -101120000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 97*r**2 + r + 100. What is s(-97)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - -101010011?\nAnswer: 101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 514296*w**2 + 3*w + 3310154 wrt w.\nAnswer: 1028592*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**4 - 5 + 5)*(-5*b + 3*b + b) + (-4*b**3 + 6 - 6)*(-2*b**2 + 6*b**2 - 2*b**2) - b**5 - b**5 + 4*b**5.\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6592 is divided by 114?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11829573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1695 - -3315\/2. Let b = -22 + 29. What is the common denominator of s and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2200.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 15*o**2 - 201*o + 20. Let d(g) = -7*g**2 + 101*g - 9. What is 9*d(b) + 4*f(b)?\nAnswer: -3*b**2 + 105*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10\/75)\/((4\/(-14))\/(6\/14))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*n**2 + 10*n**2 + 18*n**2)*(-3*n**2 + n**2 + n**2 + (0*n**2 + 0*n**2 + n**2)*(-5 + 2 + 1) - 3*n + 3*n - n**2).\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-156)\/1066*(2\/4 + 0). Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 792.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 214597448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + -9. Suppose 3*x = 7*x - 8, x = 3*o + 107. Let f = s - o. What is the remainder when 31 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-90)\/(-20)))\/((-4)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -38*h - 331. Give w(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(768) + -6*(sqrt(3) + -1) + sqrt(3) + sqrt(3) + -3.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2288803 and 20?\nAnswer: 45776060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7201\/4 - 1779. What is the common denominator of q and ((-5057)\/778)\/((-1)\/(2\/(-5)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 1232 = 5*o. Let w = o - 71. Solve -2*a - w = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 14*y**2 - 13*y + 32. Let o be l(-15). Suppose 44*s = 43*s + o. Solve s + 10 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 758*p - 6. Let o(s) = -32*s - 1. What is -f(y) + 5*o(y)?\nAnswer: y**2 - 918*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.36 - 0.56. Suppose -3*b + 4*y + 9 = 3*y, 5*b + y - 7 = 0. Sort b, t, 3.9 in decreasing order.\nAnswer: 3.9, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 3. Let v be a(-6). Suppose 5*m = v*x - 67, 2*x - 45 + 5 = m. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -278.98 - -300. Let l = i - 21. Suppose -h - 1 = -5*u - 5, 4 = -u - 3*h. Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n - 9. Let f be z(4). Suppose 2*r - f*r = -5. Put 5, r, -1 in descending order.\nAnswer: 5, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -34, -33, 284 in descending order.\nAnswer: 284, -1, -33, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 - 8*h - 19. Let g be u(6). Suppose 0 = -o + g*y + 301, -2*o + 2*y + 36 = -550. What is the greatest common divisor of 97 and o?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times -1816?\nAnswer: 236.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 0.692.\nAnswer: 5.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.72 - -0.42. What is the second smallest value in h, 0, 3, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6796*b + 5237*b + 5819*b - b**3 + 5059*b + 7007*b.\nAnswer: -b**3 + 16326*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 - -1301?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(91)*-2 + (sqrt(91) - ((sqrt(91)*-1 + sqrt(91))*4 + sqrt(91))) + sqrt(91))\/(sqrt(7) + (sqrt(7) - 2*sqrt(343)) + sqrt(448)*2).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 11. Suppose -4*h + 18 = -5*x, n*h - x + 0*x = 12. Solve -5 = 7*a - h*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g + 1 + 2 = 3. Put g, -4, -0.04, 1\/30, 4 in decreasing order.\nAnswer: 4, 1\/30, g, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60340.\nAnswer: 2, 5, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + g. Let c(d) = -d**2 - 2*d. Let y(z) = -2*z - 2*z + z - 3 + 2*z. Let v be y(-5). Let h(m) = v*x(m) + c(m). Let i(n) = 4*n. What is h(i(k))?\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 12 = 4*o, 5 + 5 = 2*v + 4*o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -270 + 275. Suppose a + 2*g - 20 = 0, -2*a + w*a - 65 = -g. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -935\/2 - -480. Which is the nearest to -1? (a) m (b) 0.5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9)*3*7)\/((-180)\/(-90))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/15 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 124076262.\nAnswer: 248152524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 5786?\nAnswer: 5800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 5, -975123?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 s when four letters picked without replacement from {t: 8, s: 5}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u - 29*u = 4*t - 8, t - 23 = -4*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*b**2 - 746*b**3 + 747*b**3 + 0*b**2 wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -3612.\nAnswer: 4\/903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 27268893?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.2 (c) 2\/11 (d) 1\/4 (e) 39 (f) -114\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21905645.\nAnswer: 5, 1231, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11949.\nAnswer: 3, 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 364\/1001*11\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*p - 1\/3*p**2 + 0.\nAnswer: -p*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**6\/40 - f**5\/20 + 446*f**2. Solve j(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1 + 1 + 2 + 2 + f. Let y be m(6). Factor y*v - 1 + 3 - 3*v**2 - 14.\nAnswer: -3*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8 - -4) - 18 - 23.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 3*o - 2. Let l be p(-2). Suppose 0 = 5*s + 5*z - 45, 0 = 4*s + 5*z - 54 + 13. What is the tens digit of ((-54)\/(-4))\/(s\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/3 + -1 + -4. Let y = c - -1. Find the common denominator of (y - -2) + (-149)\/(-10) and -47\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001241 to 5 decimal places.\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -60.3 (c) -3\/7 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d. Let h(q) = -33*q + 898. Give h(k(a)).\nAnswer: 165*a + 898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -8330204?\nAnswer: 24990612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moog when four letters picked without replacement from bbvuummgmvbobvomuv?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -840*u**2 - 15*u - 1509. Let n(s) = -120*s**2 - 2*s - 215. Let i(p) = 2*j(p) - 15*n(p). Differentiate i(a) with respect to a.\nAnswer: 240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 18 - -12 - -12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 1:21 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74088991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*w = 6*w + 44, w = -3*s + 21. Let i be (0 - 3)\/((-12)\/s). Find y such that y - 6*y - y**i + 4*y = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -6*t**4\/19 - 34*t**3\/19 - 36*t**2\/19 + 16*t\/19 = 0.\nAnswer: -4, -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + 22. Calculate the least common multiple of 8 and t.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + o - 1. Let l be t(1). Let u(d) = d**2 + 7*d. Let r be u(-7). Suppose r*p = -2*p + 4. Solve y = -l - p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 93 + -647\/7. Do c and 2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154112469430 - -8.\nAnswer: -154112469422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (83 + 45 - 344)*(4*f + 3*f - 4*f)*(-2*f - 2 + 2) to d*f**2 + c*f + l and give d.\nAnswer: 1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 172 + -35. Let j = 140 - z. Solve 0 = -4*u + j*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 31 = 5*b, b = 2*d + d - 9. Let g(s) = -3 + 125*s**2 - 57*s**2 + 1 - 67*s**2 - 2. Give g(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -14 + 0*b**2 + b**2 + 2*b - 3*b - 6*b. What is h(10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38000000 rounded to the nearest one million?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 9:11 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5822376 divided by 56?\nAnswer: 103971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*n = -46, 8*n - 7*n + 197 = -16*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qewwwwqtwwt. Give prob of picking 1 w and 1 t.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7993617860*f + 0 - 7993617855*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 260*g + 260*g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1006 + 941. Let s = 63.872 + 0.128. Let t = s + i. What is the closest to t in -0.5, 1, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -1) + (2 + -47 - (73 + 44 - 111))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8248188?\nAnswer: 2, 3, 13, 37, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 - d**2 - 21*d + 286. Is y(10) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3024 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697 is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 135 = 4*m, 4*m + 4*n + 60 = 8*n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17655 + 18489.1. What is v rounded to the nearest 10?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**2 + p**2 - 512*p**6 + 522*p**6 wrt p.\nAnswer: 1200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -604.\nAnswer: -604, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 31200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 283964587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) 0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 13*z**2 - 4 + 3 + z**2.\nAnswer: 14*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26114\/48211 or 1?\nAnswer: 26114\/48211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*j + 115*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-44) - (87017\/1364 - 60)\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 4160\/(-224) - (9 - 2)\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8686337636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1186*k + 1172. Let j(y) = 14*y + 2. Let c(f) = -j(f) - o(f). Find the first derivative of c(q) wrt q.\nAnswer: -1200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12234)\/(-4078))\/((-129)\/54 + 6\/27).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c**2 + 12 - 12 in the form o*c + y + p*c**2 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 74008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-12)\/8)*-1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182060663*m**5 - 2*m**4 - 2*m**2 + 15376062?\nAnswer: -10923639780*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 94 = -z, 0 = -3*z - 17*l + 15*l - 207 + 249 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4075*k**3 - 8200*k**3 + 4089*k**3.\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 22*g**2 - 3*g. Suppose -5*j - 20 = -c, -5*j = -c + 2*c + 10. Is a(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84457 (base 10) to base 12\nAnswer: -40a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4321, -8700, -13081, -17458, -21825?\n\"Answer: d**3 - 7*d**2 - 4365*d + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.4804484ns in days?\nAnswer: 0.000000000000260190375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 3*d + 3. Let f be k(-2). Suppose 0 - 15 = -f*o. Suppose u + 2*q = 13, 3*u + 2*q = -o*q + 36. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 29. Let l(h) = -3*h**2 - 28. Give 2*l(q) - 3*p(q).\nAnswer: -3*q**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5034557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812465 is divided by 2861?\nAnswer: 2802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -369, -870, -1571, -2472?\nAnswer: -3573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by -5776200.\nAnswer: -7\/962700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159758.\nAnswer: 2, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.036 + -0.017. Let w = -6.147 + d. Let k = -6.19736 - w. Round k to four decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-13)*4758\/2684.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (11 - 8) - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 5*a**2 - 12*a - 2. What is the tens digit of u(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/342 - 1355\/4446. Let i = x - -64\/39. Which is the third smallest value? (a) -5\/4 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -10129\nAnswer: -5\/10129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -10\/65319?\nAnswer: -10\/65319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/603 and 46\/1005.\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 - y**4 + 4*y**4 + (5*y**4 - 5*y**4 + 3*y**4)*(3 + 4 - 5))*((-5 + 2*y + 5)*(-1 + 0 - 1) + 4*y - 5*y - 16 + 0).\nAnswer: -35*y**5 - 112*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2 - 1 + 7*n - n**2 + 2. Give a(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8213 + -151023?\nAnswer: -160236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 80*g + 16. Let t(a) = 2*a - 1. Calculate -48*t(f) - 3*w(f).\nAnswer: -336*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 + 5)\/(63\/(-210)). Solve -k*c + 5*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + -7. Let y(m) = -m**3 - 10*m**2 - 3*m - 7. Let v be y(w). Let a = v + -9. Calculate the remainder when a is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -3. Let u = 0 + 5. Put r, -0.2, u in increasing order.\nAnswer: r, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1809350 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72404188.\nAnswer: 2, 18101047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -29*z - 323. Give m(-14).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17\/2 + 48\/5. Let y = 13\/30 - b. Sort y, -2\/7, -4, 2\/15.\nAnswer: -4, y, -2\/7, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -417 - -556. Suppose 9*f = -103 + y. Solve 3*t = -2*v + 5*t + f, -v = 3*t - 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-12)\/54) - -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 792*p - 18650. Determine w(24).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.44 and -3?\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -43.6 times -0.19\nAnswer: 8.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.4999999708 + 5.5. What is a rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7706 + -28.\nAnswer: -7734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 2)*(-4*h + 8*h + 3*h)*(2*h**3 - 2*h**3 + 2*h**3) to o + k*h + c*h**3 + l*h**2 + u*h**4 and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 2. Calculate v(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 - -20722289?\nAnswer: 20722314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35662049131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.2 + -3.234. Let v(a) = -3870*a - 104493. Let b be v(-27). Put 0.3, z, b in decreasing order.\nAnswer: 0.3, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/58 or -919.2?\nAnswer: -919.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 21 - 42. Suppose 7*r = 3*f + k*r - 2962, 0 = -5*f + 2*r + 4910. Is f a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8 = -7. Let z be 0\/(6\/45*5*3). Solve 0 = -z*n + 5*n - q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3 + 9. Let r(s) = -761 - c*s**2 + 761 + 4*s**3 + s. What is the remainder when 41 is divided by r(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 3292?\nAnswer: -1646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382121976.\nAnswer: 2, 3, 15921749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15876 and 2793?\nAnswer: 301644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 - m**3 + 3*m**3)*(2*m**2 + m**2 - 2*m**2) - 16*m**5 + m**3 + 12*m**5 - 20*m**3.\nAnswer: -5*m**5 - 19*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, -50, 0.051, 4\/7, 4, -1\/3 in ascending order.\nAnswer: -201, -50, -1\/3, 0.051, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -691, -702, -725, -766, -831?\n\"Answer: -d**3 - 4*d - 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 639*t + 253435. Give y(-397).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y. Let g be f(-1). Suppose j + s = -0*j - 2, g*j - 3*s = 6. Let p be 10\/35 - 12\/(-7). Solve -p*u - u = j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*y**2 - 8*y + 0.\nAnswer: -4*y*(y + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -218*g + 6331. Calculate the remainder when q(25) is divided by 92.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 686 - -177. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 8:41 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 15*a**2 + a + 15. Let g be p(-15). Let f be 60\/24*(g + 22). What is the highest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.91219 to two dps.\nAnswer: -13.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 - -0.23. Which is the closest to 0.1? (a) -4\/3 (b) h (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106816010*d**2*m*p - 2*d**2*p + 5*d + 754701*m*p - 3*p wrt d.\nAnswer: -213632020*m*p - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1264 and 0.01348?\nAnswer: -17.03872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 569577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 h when four letters picked without replacement from {e: 9, h: 7}.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23410 and 140?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -273*p + 288*p - 300. Solve 245*r - 241*r + p = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/5 + 44\/10. Let a = -18 + 27. Solve b + a = 3*p, -3*b - 9 = -3*p - f*b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(320)\/sqrt(8))\/sqrt(8).\nAnswer: 1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/2 - 843*h**2\/2 - 42495*h + 176628.\nAnswer: 3*(h - 359)*(h - 4)*(h + 82)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/3)\/(-2) + 1. Let s be (-59)\/(1\/(-2)*l). Suppose -4*p - 30 = -2*c, -4*c + 2 = 5*p + s. Round p to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouuuruotuuruu. Give prob of sequence uro.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 836*w + 851*w - 3973*w + 855*w + 1434*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 1:14 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40.9578 and -10066.\nAnswer: -10106.9578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25829378 at least as big as 206635025\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**2*q**6 + 7*p**2*q**2 + 3137467*q**3 - 32258*q**2 wrt q?\nAnswer: 240*p**2*q**3 + 18824802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*y - 18 = 3*z, 4*z = 5*y + 28 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204928545 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 282*m - 375*m + 91*m - 18. Determine r(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 760 = -5*m - 0*c, 6 = 3*c. Suppose 22*z - 17*z = m. Calculate the remainder when 119 is divided by z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msyl when four letters picked without replacement from {m: 1, y: 2, k: 1, l: 2, h: 1, s: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02727 + -4.97273. Let j = -2.3 + -0.7. Sort 5, j, a, 0.2 in descending order.\nAnswer: 5, 0.2, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 21307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h - 122 = g, -61 = -7*h - 2*h + 8*h + 2*g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.018 in -6\/5, -2\/359, 2?\nAnswer: -2\/359","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 4, -30, -86, -170?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 divided by 3?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 12:44 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1)*(19*m + 25*m - 47*m) to the form g*m + x and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 59664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111011010101010 + -1010?\nAnswer: 1010111011010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.938 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7 - 13)*(-2 + 0 + 0)*(0*v - v + 5*v)*(-1 + 3 - 3)*(0 - 5 + 1).\nAnswer: 352*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2\/5 (b) 59 (c) -1\/6 (d) 1\/10 (e) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 3:50 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*f, -o + 19*f - 15*f = -72. Solve -4*x = -4*l - 28, -7*l - 4*l = o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18574459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 672538405 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Suppose 3*d + 64 = 5*d. Suppose d = 3*q - 16. Calculate the greatest common factor of p and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5443 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*i + 11949 - 3117 for i.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6060167 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from tppp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**5\/20 - 2*o**4\/3 - o**3\/6 - 9*o**2\/2 + 4*o. Let i be s(-8). Let v(c) = 4*c**3 + c**2 + c + 1. Give v(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, -4\/3, 156, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f. Let x(t) = -8027*t + 59. Give c(x(z)).\nAnswer: 16054*z - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r - 2*r + 4*r)*(1 - 5 - 1)*(-2*r**2 + r**3 + 2*r**2) as j*r + q*r**2 + v + t*r**4 + y*r**3 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50.95 + -45.1. Let m = 6.05 - u. Which is the second biggest value? (a) m (b) -5 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212 + -234 - (2 + -6)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**2 + 10*z - 3. Let f(p) = -5*p**2 + 11*p - 4. Let b(u) = -5*f(u) + 6*n(u). Let r be b(-7). Solve 7 = 3*j + r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 110 = 16*i. Calculate the highest common factor of 66 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 10*j + 26. Let d be k(-12). Suppose d*w = -0*w + 26. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15253.93ug?\nAnswer: 15.25393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/2)\/(65\/26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - l + 38, 6*l + 58 = 5*m + 2*l. What is the second derivative of 4*d**2 + 0*d + 2*d - m*d**2 wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 23764169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3*k + 21, 2*k + 3*k = -25. Let d = -10 + 20. Find the third derivative of 34*g**p + 27*g**4 - 16*g**3 + d*g**2 - 18*g**3 wrt g.\nAnswer: 648*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 385 + -305. Suppose -12*p - c = -5072. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -222, -380, -560, -756, -962?\nAnswer: -1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -a74?\nAnswer: a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + -102100102?\nAnswer: -102101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 29. Let w = -20.5 + i. Let k = 15.08 - 15.08. What is the second biggest value in 3, k, w, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 529*n**2 - 1 - 4 - 527*n**2 + 2. Let d(t) = -t**2 + 2. Let a(g) = -6*d(g) - 4*l(g). Let j(c) = c. Determine j(a(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (3816\/(-84))\/(-1 - 15\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - s - 36 = 0, 5*g - 182 = -2*s + 5*s. Let n = 127 - g. What is the greatest common factor of 40 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 28, 12, -11, 4, 6 in ascending order.\nAnswer: -11, -3, 4, 6, 12, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 7*j + 45, -29 - 10 = -3*o - 5*j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2))**(-2\/37)\/(s**(-3\/2)\/s**(-1\/7)))\/((s**(-2\/3))**34\/(((s\/(s*s*s**(-1))*s)\/s)\/((s\/s**(-1\/5))\/s))) assuming s is positive.\nAnswer: s**(184901\/7770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24000 - 212?\nAnswer: 23233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**4\/2 + l**3\/2 + 3*l**2\/2 - 2*l. Let m be s(-2). What is the units digit of ((-1)\/(-1))\/((-3)\/m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z + 2*z. Which is the biggest value? (a) 2\/13 (b) 15\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2. Let w(b) = -11*b. Let o(n) = -16*n. Let t(r) = 5*o(r) - 8*w(r). What is x(t(q))?\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**4\/6 + 5*a. Let u(f) be the third derivative of -f**4\/8 - f**2. What is h(u(y))?\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56279396 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12829, 51777, 116689, 207565?\nAnswer: 324405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 14 + -26 - (0 + 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -j + 2*s, -5*s + 11 - 28 = j. Let y(w) = -w**3 + 5*w**2 - 3*w - 2. Let m be y(j). Suppose -56 = m*b - 11*b. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1920 - -2651. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 5*v**2 - 4. Let d(s) = s**3 + 13*s**2 + s + 15. Let b be d(-13). Suppose -b*x + 3*x - 4*q = 25, x = -5*q - 20. What is c(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63166, 63160, 63154?\nAnswer: 63148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 338.4 and 39763.\nAnswer: 13455799.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*c - 5858 - 13163. What are the prime factors of c?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.21 and 1.24.\nAnswer: 1.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*z - 4*m, 0*z + 3*z + 13 = -5*m. Let w(j) = j + 5. Let q be w(-5). Let f = q + z. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984020918?\nAnswer: 2, 21569, 22811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -5. Let z = 26 + -7. Let h = -9 + z. Solve -5*f = g + g - i, -5*f - g = -h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15, 64, 145, 258?\n\"Answer: 16*p**2 + p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, -51, -149, -337, -645?\n\"Answer: -5*u**3 - 3*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28038 + -85403\/3. Let n = -432 - k. Let w = 4.1 + -0.1. Put n, 0.5, -1, w in descending order.\nAnswer: w, 0.5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13055\/315 - 135\/(-243)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(125)*-3*3 + (sqrt(125) - (3 + 4*sqrt(125) + sqrt(125)))*-4)*5)**2.\nAnswer: -6000*sqrt(5) + 16100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 119 = -t, -5*t + 829 = -54*j + 53*j. Calculate the highest common divisor of 8692 and t.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1363856 (base 9) to base 3.\nAnswer: 1102010221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27942 - -671.8\nAnswer: -27270.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 + 152. Calculate the remainder when 412 is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 421350*b**4 + 9269170*b**3 + 101054041*b**2\/6 - 63589*b\/3 + 20\/3 = 0.\nAnswer: -20, -2, 1\/1590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44658 and 9378180.\nAnswer: 9378180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1796516 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/75 or -0.06?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-165)\/(-39) - 2) + -3. Let s = u - -43\/39. Which is the smallest value? (a) -0.5 (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -1, 2, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 + ((18 - 9) + -9 - (11 + -16))?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2 - 0) + (1 - 9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 10*d - 8. Let p be k(7). Let u be (-1)\/((-5)\/p)*(-22)\/(-8). What is the highest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48843 and 22.\nAnswer: 1074546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 148327 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p + 20. Solve -p*h + 30 = -5*u, -h + 1 = -1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 13. Let k be q(-9). Let d be -1 - k - -3 - 3. Let m be 0 + d - 214\/70. Does m = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 16, -4*m + 26 = -3*m + 5*v. Which is greater: 5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/36 and 1\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -6. Is y greater than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -50*d - 1. Is y(-2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -8*b + 5*a + 1340, a = 2*b - 536. Let y = b - -303. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2*f + 20 = 0, -9*y + 78 = -290*f + 285*f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 0.4. What is the closest to -1 in 1\/3, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694660 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**3 + j**2 - 1. Let x = 6 + -5. Give c(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 450771787 = -87091437. Let r = g - 46892903. What is r rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggbggbbgggg. Give prob of sequence bbgb.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38.4 + 38.3. Let r = 6 - 5.6. Which is the nearest to 0? (a) 1 (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -398\/7 in 0.2, -2\/99, -1\/3, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12905 - 10695. What is the greatest common factor of 55 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 >= 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**7)**6\/(a**5)**(2\/5))**(-20\/7) assuming a is positive.\nAnswer: a**(-800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/6*(-1 - -3). Let q = -12 - m. Suppose -f + q = -8. Calculate the remainder when 17 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71587637*s - 71587446*s - 4393 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccqqqc. What is prob of picking 3 c?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**7\/560 - 11*y**6\/480 + 3*y**5\/40 - 2*y**4\/3 - 6*y. Let l(d) be the third derivative of u(d). Factor l(n).\nAnswer: 3*(n - 3)*(3*n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 12:00 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -366660284 and 0.1.\nAnswer: -366660283.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -8*k - 4. Suppose 6*t = k*t. Suppose 2*s - 9 + 3 = t. Solve 0 = q - 0 + s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 21*p**2 + 805*p - 50. Determine o(-38).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -1.3 (b) 1\/64348 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-14)*443\/(-886)*42\/5*-19.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 46, 165, 472, 967?\n\"Answer: 94*w**2 - 163*w + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -12 (b) 3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -7 + 6 + 8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(784) - (sqrt(784)*2*5 - sqrt(784))) + (sqrt(784) + sqrt(784)*-2)*2)\/(2*(sqrt(224) + (-1*sqrt(224) - sqrt(224)))\/sqrt(7)).\nAnswer: 35*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 300 * 0.15\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q + 2. Let n(w) = 2 - 27*w + 0*w + 2 + 7. Let z(u) = -22*c(u) + 4*n(u). Let v(d) be the second derivative of 59*d**4\/12 - 9*d. Give v(z(g)).\nAnswer: 236*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3538\/15 - 236. Let w = 2.2 - 0.2. What is the second biggest value in n, w, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59031446 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1832, -691\/8, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238 - 234. Put o, -2, 0.4, 25\/4 in decreasing order.\nAnswer: 25\/4, o, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9520621, 9520619, 9520617, 9520615, 9520613?\nAnswer: 9520611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3, 0 = 5*h - 3*w + 6*w - 22. Suppose 4*v + 3*b - 5 = 0, v + 2*b - 1 = b. What is the smallest common multiple of v and 174\/10 - (-3)\/h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2630 + -0.05.\nAnswer: -2630.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 - 2*x**4 + x**4 + (-x + x + x**2)*(6*x**2 - 2*x**2 - 2*x**2) - 2*x**4 + 2*x**4 + 2*x**4 + 2*x**4 + 0*x**4 + 0*x**4 + x**4 - 2*x + 2*x.\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*g = -20 - 22, 0 = -2*o + 4*g + 52. Suppose o*j - 5*j - 55 = 0. Let a = -8 + 11. Solve -2*t + 2 = -a*h, -2*t + j*h + 4 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 713 - 596. Let h = -50 + b. Calculate the remainder when h is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 3*t**2 + 1. Let z(a) = -48*a**3 - 18*a**2 - 7*a + 761. Let j(n) = -6*g(n) + z(n). What is the derivative of j(o) wrt o?\nAnswer: -126*o**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -7 + 9 + (-10 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*l - 74*l + 1456 = 97*l. Solve 45 = l*f + 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1669 - -0.0149. Do -1 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73293923*z**2 - 40236310 wrt z.\nAnswer: 146587846*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20150, 40075, 60000, 79925, 99850?\n\"Answer: 19925*k + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, e: 8, b: 2}. What is prob of picking 1 e and 1 b?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 2, -2\/7, 2\/19, 4\/15 in ascending order.\nAnswer: -50, -2\/7, 2\/19, 4\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -7*f + 171. Calculate the greatest common factor of 147 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-15) - (-10535)\/516)*(-3)\/(9\/(-12))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -815\/2, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/8 of a day?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.60032 rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 1, -1276 in descending order.\nAnswer: 4, 1, 0, -1276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcittzztzztzcztzzi. Give prob of picking 3 t.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3579*f**3 + 4*f + 4262.\nAnswer: 10737*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (120\/72)\/((-6)\/9)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 6318*t - 443537.\nAnswer: -(t + 71)*(t + 6247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14761937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d. Let q(j) = -4*j. Let p(k) = -7*q(k) + 3*z(k). Let f(m) = -2*m. Determine f(p(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2 = -2*i, -5*a + 360 = 4*i + 357 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 253 and 1.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 102\/(-14) - 2\/(-7). Let o be (-3)\/4*(42\/9)\/a. Let g be ((-12)\/15)\/(9\/15). What is the third smallest value in -5, o, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29665, -29777, -29963, -30223, -30557, -30965, -31447?\n\"Answer: -37*f**2 - f - 29627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*o - 5*j, -o = -3*o - 6*j - 12. Let w(s) = -2*s**3 - 13*s**2 - 3*s - 1. Determine w(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.97 - 2. Let t = 268 + -268.23. Let p = w - t. What is the nearest to -1 in 0.1, p, 3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 7 = -6*b. Suppose 10*k - 68 - 2 = b. Which is greater: 22\/3 or k?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 344.754 to the nearest ten.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z - 4. Let c(s) = 3*s - 5. Let h(o) = o**3 + 9*o**2 + 7*o - 4. Let l be h(-8). Let f(i) = l*c(i) - 5*q(i). Let p(a) = 4*a**2. Give f(p(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 437415.3\nAnswer: 1312245.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.79197 rounded to 1 dp?\nAnswer: -32.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 31*68\/1054*(-184)\/48\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 1. Let h = j + 30. Which is the biggest value? (a) -0.1 (b) 1\/7 (c) h (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164 (base 7) to base 8\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p - 12*p + 3607*p**3 - 353*p**2 + 353*p**2.\nAnswer: 3607*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 779292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(((-4)\/734)\/2). Let z = j - -123. Calculate the common denominator of (z\/(-64))\/(-1*1) and 89\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60204779059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1374082285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 224983782 to the power of 1\/3, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 1:06 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2532270, -5064535, -7596794, -10129047?\nAnswer: -12661294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -33*m - 95. Let x(i) = 16*i + 47. Let h(o) = 2*s(o) + 5*x(o). Calculate h(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 10 - 54*f + 48*f)*(3 + f - 3).\nAnswer: -6*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 28*s**3 - 2*s**2 + 1. Let y be i(1). Let m be (1\/2)\/(y\/6). Which is the nearest to 2\/3? (a) -4 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 5. Let n = -41 - j. Is -11\/10 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -375749, -375782, -375873, -376052, -376349, -376794?\nAnswer: -377417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004700142 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -6. Let f = b - -4. What is the remainder when 12 is divided by (2\/3)\/(f\/(-42))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(sqrt(475)*-6 + sqrt(19))**2 + -5.\nAnswer: -47939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 7*c - 2. Let o be f(4). Find r such that 6*r**4 - 3*r**2 + 3*r**3 - 2*r**5 - o*r**5 + r**5 - 3*r**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**3\/3 - 3*q**2\/2 + 10*q - 164. Calculate the least common multiple of 22 and u(10).\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*y - 10 = -73*y + 23*g - 26, y + 3*g + 22 + 8 = 0 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiskbwr. What is prob of picking 1 s and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 140\/(-25)*(-5)\/2. Solve 3*a + 18 = -0*a - 3*l, 5*a = -l - o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*z - 6. Calculate the remainder when (11\/3)\/(z\/3) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 + -1. Let s = -1 + -9. Let u = -7 - s. Which is the closest to g? (a) u (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2955, -3261, -3583, -3915, -4251?\n\"Answer: r**3 - 14*r**2 - 271*r - 2671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -13 - 33 - 5*l**3 - 16*l - 6*l**2 + 9*l**3. Let y be q(12). Round y to the nearest one hundred.\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1323 + 241*o + 1324 + 1326 - 3972 + 63*o.\nAnswer: 304*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 5 = 15*j. Let o(b) = -6*b - j*b + 5*b + 4 + b**2. Calculate o(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 <= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*c**4 - 32*c**4 + 56*c**4)*(5 + 2 + 3).\nAnswer: -90*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -10*y**2 + 6*y**3 - 4*y**3 + 11*y**2 + y. Let k be ((-2)\/8*-4)\/(1\/(-1)). Let i(d) = -d**3 + d**2 - d. Give k*i(a) - x(a).\nAnswer: -a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -97*n**2 - 194*n. Let k be l(-2). Suppose 0*y**3 + y**2 + k - 1\/3*y**4 + 2\/3*y = 0. Calculate y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -4 (c) -2.373\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 791 and 392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/5, 15, 0.8, 11, -66, -6 in increasing order.\nAnswer: -66, -6, 2\/5, 0.8, 1, 11, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -19*s. Let m(t) = 849*t**2. Determine m(w(b)).\nAnswer: 306489*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 3*r + 15405, 15*c - 10*c = r + 15385. What are the prime factors of c?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 816 divide 784088738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*i = -15, -6*c - i + 9 = -9*c. Sort 3, -2, -1, c in descending order.\nAnswer: 3, -1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/4 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1008, -2033, -3058, -4083?\n\"Answer: -1025*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w - 12*w + 77 + 213 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/3)*k**(-2\/79)*(k*k**(-5)*k)\/(k**(-1)*k*k))**(-23) assuming k is positive.\nAnswer: k**(14674\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/6 + 52324*b + 37073240\/3.\nAnswer: -(b - 314180)*(b + 236)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4) - 3\/6. Let s be (u - (1 - -1))*-3. Suppose -j - s*j + 196 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 153907*v - 12 + 153907*v + 12*v**3.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -46\/67?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 432 and 7653438?\nAnswer: 183682512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 607 + -603. Let i(t) = t**2 + 2*t + 11. Let j(x) = -x**3 + 2*x**2 + 3*x + 12. Let z(w) = 3*i(w) - 2*j(w). List the prime factors of z(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*p - 17. Let s = p - -2. Solve -3*x + s*x - 7 = -j, -x = 5*j - 19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 190*j + 1794. Calculate o(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, w: 1, u: 2, v: 1, z: 5}. Give prob of sequence vzzh.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*x + 1051, 4*w = -0*w - 4*x + 2072. Suppose -358 - 3512 = -58*o + 13*o. What is the remainder when w is divided by o?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120513636 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 7 + (-1 - 1 - 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 - (-12 - (4 - 12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -3. Solve i*o - 3*c = -34, -3*c + 12 = -4*o - 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 102048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -102000220210 (base 3) in base 16?\nAnswer: -3505e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.41 - -4.59. Suppose 4 = -2*g + 6. Suppose -g + 3 = 2*w. Which is greater: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-292)\/(-12) - (-1)\/(-3). Let i = f - 19. Suppose -5*g + 4*p + 304 = -3*g, p = -i*g + 771. What is the greatest common divisor of g and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 - 18*i - 8*i + 16*i + 10*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 26*m**2 + 3*m + 48. What are the prime factors of d(-5)?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 534288 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*2\/(-8) + 2. Suppose 0 = -5*o + 2*o + b. Suppose 4 = x + o. Solve -x*n - 9 = z, -4*n + 15 = -7*n - 3*z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/59 and -512 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 46*g**2 - 4*g - 179. Let j be k(-46). Sort -3, -75, j.\nAnswer: -75, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -950435, -1900903, -2851369, -3801833?\n\"Answer: u**2 - 950471*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggpgggpp. Give prob of sequence ppgp.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + i = 23, -2*i + 9 = 2*k + 23. Let x(v) = 9*v**2. Let p(h) = -4*h**2. Calculate k*p(b) - 4*x(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 15894308001885?\nAnswer: -15894308001888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3543, 3536, 3519, 3486, 3431, 3348, 3231, 3074?\n\"Answer: -f**3 + f**2 - 3*f + 3546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-57)\/8 + (1 - 21\/24). Let s be 0 + -5 - 0 - q. Let f(h) = 288*h**3 - 5*h**2 + 5*h - 4. Let o be f(s). What is o rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1814426.48329731 + 1814546.4833. Let g = -120 + u. What is g rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of (33\/(-9))\/(9\/(-4239))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/9))**(6\/23)\/(z**20\/((z*z**(-12)*z)\/z*z)) assuming z is positive.\nAnswer: z**(-2068\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1353*u**3 + 1733*u**2 wrt u.\nAnswer: -8118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2.5, -16\/7, -1 in decreasing order.\nAnswer: 13, -1, -16\/7, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Let d = 610773 + -23820109\/39. Calculate the common denominator of (-82)\/9*3\/(-4) and d.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 128136105.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + (0 - (1 + 2)). Suppose 6*q = 2*q + 4*a, -3*q - a = -y. Solve 9 = -2*x + q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -133*c**2 - 18219*c - 8. What is x(-137)?\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, 51, 146, 289, 486, 743, 1066, 1461?\n\"Answer: g**3 + 15*g**2 + g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 14\/(-12))*-23. Let x = d - -58\/3. Let r = 0.456 + 0.044. Sort 3, x, r in ascending order.\nAnswer: x, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2132*r + 4*r + 240345 = -2769*r for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -178 - -203. Let w(t) = 3*t - 64. Calculate the remainder when (-1)\/(-2) - (-122)\/4 is divided by w(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.06 - -0.06. Let m = 0.08 - -4.92. What is the biggest value in m, 1\/4, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 108 = k. Suppose -k = -3*o - 2*u - 11, -4*o + 32 = 4*u. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/10)\/(1\/5). Let d be (8\/(-4))\/(-6)*3*3. Suppose 6*g + 4*q = d*g + 44, 2*g + 2*q - 30 = 0. Solve -v*j + g = 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1928485145?\nAnswer: 5, 15907, 24247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 7 + -1 + 2 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*(h\/h**(-6\/7))\/h)\/h)\/(h**(5\/4)*h) assuming h is positive.\nAnswer: h**(-11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-16) - 125685\/(-140). What is the highest common factor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*n = -2 - 2, -4*n + 8 = x. Suppose x = 2*a - 5*a + 12. Suppose -5*b = a*g - 45, 0 = -5*g + 41 - 16. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302655372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 + 13*f + 21. Let j be c(10). Let d be j\/(-21)*((0 - -9) + -3). What is the highest common factor of d and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*q - q + 89 = 0, -2 = q. Let c(r) = 401*r**2 - 402*r**2 - 26 + 12*r + 7*r. Let h be c(17). Solve k = 5*d - h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*p - 10, -6*o = -3*p - 2*o + 29. Suppose -5*w - 2*h + 1110 = p*h, -2*h - 237 = -w. What is the remainder when w is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 2. Let a(p) = -4*p**2 + 7. Let h(s) = -6*a(s) + 21*x(s). Let y(u) = 10*u. What is h(y(j))?\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2263*-220\nAnswer: 497860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 768 and 1956?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 1. Let z(h) = h**3 + 4*h**2 - 4. Let f(s) = -4*d(s) + z(s). Let u be f(1). What are the prime factors of u\/(-4) + (-69)\/(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4371 + 6230 = -143*f for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -5, 5, 15, 25?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85580\/27 - 3169. Calculate the common denominator of 155\/342 and a.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -0.4, 50\/17, 4\/3, 1\/3, 1\/5, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -144 <= -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*b - 12. Suppose 3 + b = 3*m. Suppose 0 = -2*v - 4, -134 = -8*d + m*d - 3*v. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6293, 9, 5, 2 in descending order.\nAnswer: 6293, 9, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260.7 + 203.46. Let h = 0.76 - q. Sort -1\/12, 3\/2, h in descending order.\nAnswer: h, 3\/2, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843.778 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 - 2*q. Suppose -5*r = -0*v + 5*v + 15, 0 = -5*v + 2*r + 20. What is s(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2676454.\nAnswer: 2, 11, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 417.5671 minutes?\nAnswer: 25054026000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 8*a + 2. Let w be y(8). Suppose 3*s + w*s - 40 = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4121 - 5103351?\nAnswer: -5055230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**3 + 6*p**3 - 14*p**4 + (-34*p**3 - 92*p**3 - 87*p**3)*(5 - 2 - 2*p - 4) as y + a*p**2 + q*p + c*p**4 + i*p**3 and give c.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 0*j - 51*j**2 + 0*j**3 + 1\/15*j**6 + 0 + 1\/15*j**5 + 0*j**4. Solve d(k) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12880*x + 15*x**3 - 12880*x.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -73877.88554 - -2.9?\nAnswer: -73874.98554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 >= 265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrx when three letters picked without replacement from vrlvxlllxzv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13597 (base 14) to base 8.\nAnswer: -135221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3368830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2524124 and 246?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000283489 rounded to seven dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 393 = -2*v, -2*g - 5*v - 137 + 920 = 0. Let t = 483 - g. Suppose -2*z - 10 = -44. What is the remainder when t is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002478 to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 13 + 1\/2*m**2 + 0*m. Let s(t) = -5*t**2. Determine k(s(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 44828 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytu when three letters picked without replacement from ututuuuyuu?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/33386 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 1. Let q(g) = 6*g + 3. Let x(h) = -4*d(h) + q(h). Let f = 2833 - 2829. Let l(b) = -b + 1. What is f*l(p) + x(p)?\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 1 - 14*i + 28*i + 3.\nAnswer: 11*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/6 + 169*r\/3 - 16241\/2.\nAnswer: (r - 109)*(r + 447)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19474*n*o**2 - n*t**2 - 8*o**2*t**2 - o + t**2 + 6*t wrt n.\nAnswer: -19474*o**2 - t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 190 = -3*d, 4*q - 116 = 2*d + 2*q. Let r be 10\/d*-15*2*1. Let m(k) = 2 + k**3 - 5 - 5*k - 8*k**2 + 4*k**2. What is m(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 956 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 5*x**7\/14 - 11*x**6\/6 - x**5\/4 + 95*x**4\/12 + 5*x**3 - 110*x. Find m such that y(m) = 0.\nAnswer: -1, -1\/3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 748 divided by -17.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 16?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 + 1 - 1)*(-176*k + 95*k + 3 + 93*k) to the form c + d*k**3 + l*k + s*k**2 and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 77. Let j = -26 - a. Solve -t + 12 = 3*f - 0*f, t = -2*f + j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 92?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -140272 + -1c3?\nAnswer: -140455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1085)\/(-175)*(4470\/(-3278))\/(1\/(-11))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2\/25, -4 in ascending order.\nAnswer: -4, 2\/25, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1. Let q(h) = -19*h - 6. Determine q(a) - 6*r(a).\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1574393373?\nAnswer: 3, 7, 31, 115163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 477850 - 193302. Suppose 5*v = 35452 + p. Round v to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3 + (-1)\/((-3)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -10879559\nAnswer: -7\/10879559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98 - -115. Let d(l) = 5*l - 56. Calculate the remainder when 136 is divided by d(g).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014 - 359.4?\nAnswer: -359.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 8*w**2 - 4*w - 16. Let t be p(7). Let c be 7\/2*(-3 + t). Solve -4*u**5 + 4*u + 7*u**2 - c*u**2 + u**4 - 9*u**4 + 8*u**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 6. Give k(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2\/5 - 1024*c\/5 + 14728\/5 = 0 for c.\nAnswer: -526, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*b - 562*b = -655*b + 9846 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*g + 322429 = -811787. Calculate the greatest common factor of 216 and g.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 77, -3\/8, 2, -0.1, -1\/12, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*j**2 - 50*j**3 - 5 + 0 + 8*j**3.\nAnswer: -42*j**3 - 200*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**3\/7 - 16*u**2\/7 + 10*u\/7 + 4 = 0.\nAnswer: -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 10, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b**2 + 0*b**2 + 2*b**2)*(-51*b**2 + 225*b**2 + 149*b**2) to w*b**4 + u*b + k + z*b**3 + l*b**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**22)\/s**(-11)*(s\/s**16)**(-3\/14) assuming s is positive.\nAnswer: s**(521\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*l - l. Let y be 4 + (-1)\/((-1)\/(-2)). Suppose 13 = 5*v - g, 2*g - 2 - y = 0. What is the remainder when l is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -25. Suppose 0*u - 3*u + 39 = 3*f, a*u = -4*f + 38. Solve 5*o + 20 = -5*y, -4*y = 5*o + 5 + u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*w + 26*w + 18*w - 2 in the form p + n*w and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -19. Let n be 2\/10 - (-395)\/k. Let w = n + 13. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 + -110024?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1361 is divided by 66.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/(-21))\/(12\/(-27)). Suppose t + 7 = -m*l, 4*t - 3*t + 5 = -l. What is the closest to l in -3\/5, -2, -0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12394816?\nAnswer: 2, 7, 73, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1975404 + -3512267063\/1778. Let o = -3\/254 - w. Let m = 1.4 - -0.6. Which is the nearest to m? (a) -2 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3472 and 94984.\nAnswer: 1329776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 equal to 92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24412 + 11258. Is 246 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 40953.7mg?\nAnswer: 40953700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 3*b**2 + 3*b**2 + (3*b + 0*b - 2*b)*(-3*b + 0*b + 5*b) - 4*b**2 + 4*b - 4*b)*(-b**2 + 5*b**2 - 2*b**2).\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*l - 32. Let i = -6 - l. Suppose -5*f = -a + 17, i*a + 3*a - f = 61. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 18*i**2 - 103*i - 6. Calculate k(5).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 18 (b) 2.8 (c) -0.5 (d) -2\/7 (e) 0.5 (f) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -356*r**3 + r**2 - 1. What is the remainder when g(-1) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-138))\/(2 - 13\/6).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 302 - 30)*(2*z**4 - 2*z**3 + 2*z**3).\nAnswer: 490*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffvffffvffvfvfv. Give prob of picking 2 f and 1 v.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -116, -178, -256?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, 573, -4 in descending order.\nAnswer: 573, 7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**4\/12 - 3*v**3\/2 + 4*v**2 - 16*v - 3. Let m be 19\/3 - 20\/(-30). Determine b(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-8) + -1)*96. Suppose 3*f - 57 = -s. Is -5*((-456)\/f + 1\/1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + r**2 + 2*r**2 + (0 - 1 + 2)*(r - r + 2*r**2) - r - 3*r**2 + r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16630039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 5*c**2 + c + 4. Give a(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 120214924 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.6 (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 7:36 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddvdvvddvd. Give prob of picking 3 v.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/2))\/k*(k*k**(-7))\/k*k*k*(k*(k**(3\/2)\/k)\/k*k)\/k**8 assuming k is positive.\nAnswer: k**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 5:17 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -211 - 205025430?\nAnswer: -205030041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 4) + (-6 - (22 - 41)). What is the highest common factor of 140 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(1408) - -1*sqrt(1408)) + sqrt(1408)))\/(sqrt(16)\/(sqrt(96)\/(sqrt(36)\/sqrt(3)))) + -5)*4.\nAnswer: -96*sqrt(11) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from wyylyylyyylwyyylylyy?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -8.8. Let x = 3.8 + n. Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 4*f - 2. Let t be j(-4). Which is the biggest value? (a) -2\/5 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21020 * -0.3\nAnswer: -6306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 divided by -4?\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 618 and 4532?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*v - 746, -5*h + 2*v + 734 = 3*v. Suppose -926 = -5*w - h. Suppose 379 = 5*j - w. List the prime factors of j.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - -3 - 3\/(-1). Suppose -2*r + f*r - 2 = 0. Solve -1 = r*c + 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2 = 50. Let y be (o\/(-7))\/4 + (-264)\/(-77). Suppose -j + 3*l + 40 = -2*l, y*l + 92 = 4*j. What is the highest common divisor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 413710*p**2 - 21*p - 206666*p**2 - 206849*p**2 to the form n*p + d*p**2 + i and give d.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1154867 and 12\/210493?\nAnswer: 42730079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 less than or equal to 259\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*x + 3010 = 266*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 23, -1, 0.155, -4\/17, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/154 + 36\/(-198).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfvvflvvlllvvvv. Give prob of sequence ff.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/2 (b) -10 (c) 2\/5 (d) -12 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/10 and -29\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -53. Let a = 30.354 + -0.154. Let c = a - k. Round c to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -46 and -669.441?\nAnswer: 623.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 648*a*h**3 - 11*a*k**3 - 14*a + 386*h**3*k**3 - 216*h**2 wrt h.\nAnswer: 3888*a + 2316*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -294 or -291?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 53. What is the greatest common divisor of z and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -32827274?\nAnswer: -32827274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 2*j**3 + 3*j**3 + 64*j**3 + 144*j**3 + 75*j**3 + 3*j - 6*j**3 - 3*j + (2*j**2 + 3 - 3)*(-2*j + j + 2*j) - j + j + 2*j**3)*(2 + 0 - 4).\nAnswer: -560*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 8*j. Suppose j = 10*i - 192 + 222. Sort -4, -1, 1, i.\nAnswer: -4, i, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -3\/4, 3\/11, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -153.986 - 0.014. Let i = j - -154.000141. Round i to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126234 + 185285. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 5, -5, -1\/4 in decreasing order.\nAnswer: 5, -1\/4, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 64, 2 in decreasing order.\nAnswer: 64, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -5, 0.0018, -36, -1, -3, 0.5, -2\/11?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -641*y + 253*y + 4268 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z - 87024*z**2 + 3*z + 43511*z**2 + 10*z + 43510*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 13964.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -81336586 and 2.\nAnswer: -81336584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 2. Let a be q(3). Suppose a*i - 18 = -v, -3*i + 3*v = -0*v. Suppose 0 = 2*u - y - i, 5*u + 2 = -2*y + 23. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8 = 4*z - 8, -5*h = -z + 16. Let j = -1 + z. Is j greater than or equal to 1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 - 14*z**2 + 7*z + 11. List the prime factors of h(7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2195 - -2197. Which is the smallest value? (a) 0.5 (b) 1058 (c) l (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 5*a - 3*c - 76, -4*a + 46 = 5*c. Let l = 58 - 38. What is the least common multiple of a and l?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11 - 2)*(-7)\/(-3). Suppose i = n + 75. Suppose -6*x + i = -0*x. What is the remainder when 63 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, -3, 9, 41, 99, 189, 317, 489?\n\"Answer: p**3 + p**2 - 12*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 2300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:02 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 take away -3.995?\nAnswer: 186.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 - 62. Let u = 2 + -1. Let q be ((-3)\/(-5) - u)*-35. Calculate the highest common divisor of q and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.29 times 11\nAnswer: 14.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(((sqrt(450)\/sqrt(10))\/sqrt(5) - sqrt(9)) + sqrt(9)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0120283292 to 4 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1320 and 960?\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 - 0. Let b = 2.94 - q. Let u = -2 + 1. Sort u, b, -4 in ascending order.\nAnswer: -4, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1 + 0)) + (2 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 - 1 = 0. Let j be c*2\/3*-3. Suppose 28 - 3 = 5*l. What is the nearest to 1\/5 in 2\/11, j, l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**3*p + 6*j**3*v - 3*j*p - 64*j*v + 32*p*v with respect to p.\nAnswer: -2*j**3 - 3*j + 32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909018608.\nAnswer: 2, 56813663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.517, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.72 take away -45411.773588?\nAnswer: 45439.493588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 1:04 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d + 105 = 0. Suppose 2*v + 5*m = -0*m + d, 2*v + 4*m - 30 = 0. Suppose 0 = 2*r + 53*r - 110. What is the remainder when v is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + u + 2. Let o be y(0). Suppose -3*w - o*p - 4 + 17 = 0, 4*p = -16. Suppose -h + 12 - 1 = 0. What is the lowest common multiple of h and w?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40981*v + 40882*v - 3861 = 0 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198181191.\nAnswer: 3, 13, 19, 267451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2571 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 97.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 9*u**3 + 5 + 11 + 8*u**2.\nAnswer: 9*u**3 + 8*u**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 5*y**9\/504 - 11*y**5\/60 + y**2\/2 + 14*y. Let t(z) be the first derivative of s(z). Find the third derivative of t(c) wrt c.\nAnswer: 600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n**3 - 6 + 6 - n**3.\nAnswer: 17*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j. Let h be (-40)\/(-18) + (-4)\/18. Suppose 0 = -2*g + 2 + 10. Let z(c) = -g*c + h*c + 2*c. Give z(l(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -0.6. What is the second smallest value in -1, q, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 129584*t**2 - 1043645236*t - 94980617640.\nAnswer: -4*(t - 16243)**2*(t + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*s - 581 = -35*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211112 + 33?\nAnswer: 211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(4\/(-3)))\/(186\/124)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(5))*4)**2*-3.\nAnswer: -1008 - 384*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 + -1305010?\nAnswer: -1305042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011010101010 (base 2) to base 10.\nAnswer: -18090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/16830 and -8\/495?\nAnswer: 16830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5*v + v - 11*v)*((-6*v + 6*v + 8*v)*(-2*v - 4 + 4) - 2*v**2 - 2*v**2 + 3*v**2 - v**2 - 4*v**2 + 4*v**2).\nAnswer: 90*v**3 + 36*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17045.28 + -16666. Let j = g + -401. Round j to 0 decimal places.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aajta. Give prob of sequence jt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 21*x - 62. Suppose 5*i = -25, -3*k = 8*i - 6*i + 61. Let m be w(k). Solve 0 = -10*u + m*u + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 19*u**2 + 22*u - 46. What are the prime factors of b(-25)?\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 3*j**2 - j + 5. Let o be i(2). Let u be (-16)\/(-8) - (o + 1). Solve u*k = -2*g - 9 - 3, 0 = 5*k - 3*g - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1430 = 2*r - 164, -2*u + 2366 = 3*r. Suppose -d - 3*l = -192, -l - 3*l = 4*d - r. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 - 306. Let q = 465 + h. Which is the third biggest value? (a) q (b) -4 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 104*r**2 + 32*r + 104. Let y(k) = -16*k**2 - 5*k - 16. Let a(i) = -5*d(i) - 32*y(i). Differentiate a(x) wrt x.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 1375748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 14 (c) 0.07 (d) -2\/9 (e) -0.4 (f) 5\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - (-4128)\/128 - (-15 - 0)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 100?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-20 + 8 - -6 - 6) + -13?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i - 3. Let k be t(0). What is the remainder when 17 is divided by (k - -3) + (9 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -867 or -868?\nAnswer: -867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22067, -22062, -22049, -22028, -21999, -21962, -21917?\nAnswer: -21864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykkxbrkxxxrx. Give prob of sequence yk.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16736?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -h + 2*b - 21, -5*h = 2*b - 18. Put -1, 6, 1, -131, h in decreasing order.\nAnswer: 6, h, 1, -1, -131","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1466 + 3cc?\nAnswer: -1078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1136 and 85\/284?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -285 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -801 - 2367?\nAnswer: -2b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + -6 + -14)*((-17)\/2 - -7)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.67875 weeks in days?\nAnswer: 130.75125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*c**2 - 2 + 22*c**2 + 3 to the form s + w*c**2 + t*c and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 2*a**2 - 15*a**3 - 4*a**3 in the form z*a + s*a**3 + x*a**2 + b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -10, 2\/5, 5, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 26*d**2 + 4800*d + 4137. What is c(58)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 plus -14?\nAnswer: -14.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4032 (base 15) to base 8\nAnswer: -32353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*z + 0*z - 3*z)*(57*z - 34*z - 257*z).\nAnswer: 3744*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - 2*c + (3 + 1 - 3)*(-3 + 2 + 0)*(0*c + 12*c + 0*c).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -17, -41, -85, -155, -257?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 57 = -3*f + 7*f, 3*f + 9 = -2*s. Let z be (-2 + 4 + 0)\/s. Which is the closest to 2\/5? (a) 5 (b) 1\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-14238)\/35)\/(-3))\/(14\/245) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 39.3, -269, -0.05?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/192*-316 - -128?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**6\/60 + y**5\/8 - y**4\/3 + y**3\/3 - 2*y + 10. Factor o(b).\nAnswer: -b*(b - 2)**2*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5782 - -22600. What are the prime factors of j?\nAnswer: 2, 3, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-494)\/(-6)*(-6)\/(-78)*-6.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from wyyyyyyhyyhiyyii?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -390 divided by -983673\nAnswer: 130\/327891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 0.02, -3\/5, -1, 3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**5 + 2*i**5 + 16*i**3 + i**5)*((1 + 1 - 1)*(-6 + 0 + 4) + 0 + 1 - 2 + 1 - 5 - 8).\nAnswer: -15*i**5 - 240*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/12 - (-39)\/3. Let x be h\/(-21)*(525\/(-10))\/(-15). Sort 2, -2\/9, x in decreasing order.\nAnswer: 2, -2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*b - 114*b + 36 = 0. Put b, 5, -5, 4, -31 in descending order.\nAnswer: 5, 4, b, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010726 to five decimal places.\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5\/5 + 2*h**4 + 42*h**3\/5 + 46*h**2\/5 + 16*h\/5.\nAnswer: -2*h*(h - 8)*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 24*l**2 + 45*l - 20. Let u be s(22). Let f = 207 - 209. Which is the fourth smallest value? (a) 3 (b) u (c) -9 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2888*o**3\/7 - 141968*o**2\/7 + 22362*o\/7 - 126 = 0. Calculate o.\nAnswer: 3\/38, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-65))\/(10\/(-4)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 423 + -419. Solve -q - 4*r = -5 - 3, -o*q - 5*r + 21 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1836 divided by 306\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/((-21)\/18))\/(-2). Let k = -0.14 + 1.84. Let m = k + -1.6. Put -0.2, m, p in increasing order.\nAnswer: -0.2, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -12 - 19 + u - 13 + 50. Let t be w(-3). Solve -i = 5*v + t*i + 15, 4*v = 3*i + 19 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 570.330909 * -0.1\nAnswer: -57.0330909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 - 15292*q**2\/7 - 28875768*q\/7 + 1360837872\/7.\nAnswer: -2*(q - 46)*(q + 3846)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c - 83*c = 118*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - 31*l + 15. Let i be p(10). Put 2, 17, i, -3 in descending order.\nAnswer: 17, i, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2663 - -3016.8. Let j = k - 450. Round j to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460*v - 15 - 31 + 463*v.\nAnswer: 3*v - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 1:16 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*j)*(-10*j**2 + 0*j**2 - 2*j**2) - 2*j**3 - j**3 + 2*j**3 + (-j**2 - j**2 + j**2)*(-2 - 2*j + 2) + (-3*j + j**2 + 3*j)*(j + 0*j + j).\nAnswer: -21*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(1 - (-193776)\/(-193784)). Suppose 4*i - t - 16029 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505165199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 486 + -487. Which is the biggest value? (a) -4 (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, 36, 11, -36, -111?\n\"Answer: -v**3 - 2*v**2 + 4*v + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6770*0.1\nAnswer: -677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 912, 3723, 8406, 14955, 23364, 33627, 45738, 59691?\nAnswer: 75480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2. Let h(q) = 4*q**4 + 12*q**2. Let z(l) = -h(l) - 8*m(l). Find the third derivative of z(x) wrt x.\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33717*d + 33728*d - 67456*d = -561 for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1003414 (base 8) to base 9\nAnswer: -442055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001101011011 (base 2) in base 11?\nAnswer: 6889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**5 + 40*i**4*r - 2*i**3*r - 11*i*r - 14*i wrt i?\nAnswer: 20*i**3 + 480*i**2*r - 12*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + z - 7. Let o be h(3). Suppose o*q = -5*s + 45, -3*s + 30 = s + q. What is the remainder when 13 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**3\/3 - 9*k**2\/2 + 3*k - 3. Let n(v) be the first derivative of b(v). Is 2 a factor of n(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62064 + 42616 = -242*h + 1992*h + 867*h for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.42 + 0.22. Put q, 4, 3\/7, -0.1 in descending order.\nAnswer: 4, 3\/7, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16246, 62404, 138468, 244444, 380338, 546156, 741904, 967588?\nAnswer: 1223214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*h + 42 - 36. Let y(o) = -o**3 - o**2 + 9*o + 15. Determine y(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07 and -0.0307.\nAnswer: 0.0393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/l**0)\/(l**(-5\/2)\/l**1) assuming l is positive.\nAnswer: l**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1311 - -43044?\nAnswer: 44410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5)\/o**6)\/(o**1)**39*(o**(-3\/4)*o**(-1\/3)\/o)\/(o*o**(-1))**(6\/25) assuming o is positive.\nAnswer: o**(-2813\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 10:41 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-78)\/(-3) + (-7 - -4). Calculate the highest common divisor of t and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 j when three letters picked without replacement from {j: 4, w: 2, l: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, i: 3, j: 1}. Give prob of picking 1 l and 3 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14.264, -4, -9, -1\/7?\nAnswer: 14.264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + -1*sqrt(304))*-1 + 3)**2 + -5*2*sqrt(19) + 5*sqrt(19)*-1 + 1.\nAnswer: -15*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -59, -241, -543, -965, -1507, -2169, -2951?\n\"Answer: -60*c**2 - 2*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 56*y + 705. Calculate the remainder when k(-51) is divided by 93.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 95 = -15*z + 34 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -44*3\/(3\/(-2)). Suppose 0*l + 20 = 4*l. Suppose -12 - p = -l*b. Calculate the smallest common multiple of 16 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**6 + 82*b**4 - 18*b**2 wrt b.\nAnswer: -240*b**3 + 1968*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 11*p**2 + p + 1. Give q(5).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1 + 3 - m + 6 - 3. Let l(i) = -4*i + 16. Let b(q) = 16*k(q) - 5*l(q). What is b(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*9\/9)\/(-11)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 571221941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 255\/(-68)*2\/10?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 116 = -2*t - 5*d, 3*d - 6 = 0. Solve 0 = -5*i - 38 + t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 34*b + 222. What is p(40)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 7 = 4*i - 11, -4*g - 7*i = -36 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n + 2*l = 0, 3*n - 5*l = 0. Suppose n = -2*s - 3*s + 320. Suppose 0 = -8*x + 4*x + s. Calculate the smallest common multiple of 18 and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/896 and -107\/12.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f - 6. Let s(a) = -1. Let r(w) = -q(w) + 5*s(w). Let k be r(1). Let n = 0 + 0. Solve 0 = -4*d - 3*y + 3, n = -5*d - 4*y - 2 + k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/5 + 13\/15. Let h(m) = 2*m - 4. Let g be h(0). What is the nearest to r in g, -0.5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 24*u**2 + 2*u. Let b = -139 + 138. Let v be z(b). Calculate the greatest common divisor of 110 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -896*j + 390. What is the hundreds digit of y(-35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (15 + -4 + 17 + -13 + 22)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -5, -0.1, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((40\/(-100))\/(10\/(-150)))\/(-28)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cciizicbigiiiigic. What is prob of sequence iiib?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*o - 67 + 67 + (1 - 1 - 1 + (5 - 3 - 1)*(-2 + 2 - 2) + 4 - 4 - 2)*(-2*o - 3*o + 6*o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03228 minus 11?\nAnswer: -11.03228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195212.\nAnswer: 2, 37, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3477 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -5074?\nAnswer: -2\/2537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.917 - -0.017. Let n = r - -3.26. What is n rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**29)\/(x\/((x*x**(2\/37))\/x*x)))\/((x*x*x\/((x*x*x*x**(-10\/13))\/x))\/(x*x**(-32))))**(-43) assuming x is positive.\nAnswer: x**(1255772\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 22195.\nAnswer: 22195.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7533 is divided by 1076.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*y - 265 = -185*y + 257 - 18 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3*p - 28 = 2*f, -3*f + p - 22 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6423 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 + 108 = -5*c. Factor -c*n**3 - n**4 - 6*n**3 + 18*n**3 - 6*n**2 + 8 - 4*n.\nAnswer: -(n - 2)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*g - 672. Let j = -87 - g. Suppose 9*i - 14*i = -j. Solve 0 = 5*y + 5, 4*v + 3 = i*y + 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-3) + -2)\/((-18)\/27). Let s = 4515 + -4569. Is s less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, y: 2, x: 2, r: 1, c: 3}. Give prob of picking 1 j and 1 y.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*f - 1\/5*f**3 + 0 - 2\/5*f**2.\nAnswer: -f*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1820 (base 11) to base 2.\nAnswer: -100100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*g - 130*g - 2*w = 150, g - 87 = -5*w. Let c be g\/13 + (-20)\/(-260). Solve -4*h = 2*h - c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525)*3*-6)\/((sqrt(315) + (sqrt(315) - -2*sqrt(315)))\/sqrt(5)).\nAnswer: -15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -6, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -54, -52, -46, -36, -22, -4?\n\"Answer: 2*h**2 - 4*h - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**1\/b*b*b)\/b*b)**40*(b\/(b**(5\/2)*b))\/b*b**(2\/5))\/((b\/b**(-10))\/(b\/b**0*b))**(1\/7) assuming b is positive.\nAnswer: b**(5293\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g + 1 - 25. Let n = -1 + 0. Let o = 21 + n. What is the greatest common factor of o and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*j - 40, -4*h = 5*j + 32 + 29. Let k be (-4)\/h - 1458\/(-42). What is the greatest common factor of 14 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129439679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+5770\nAnswer: 5769.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 11 + -5 + -8 + (-2 - -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*m - 2*m**4 - 10*m**4 - 90*m**3 + 3*m + 3*m**4 + 91*m**3 in the form j + w*m + p*m**4 + r*m**2 + i*m**3 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 0.2, -123, 146, -1, 9\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -185.9248\nAnswer: 55.77744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - j - 16. Let k be q(-8). Let v = -124 - k. Is -52 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -348*z**2 - 6*z - 4. Let s be y(-2). Let m = s - -2216. Factor 8*q + m*q**4 - 8*q**3 + 4 - 836*q**4 + 0.\nAnswer: -4*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*h = 70*h + 58*h + 319 + 327 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = 16. Let r(w) = -12*w - 1. Let k be r(-1). Let c = k + -6. Calculate the remainder when t is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7662 * -0.083.\nAnswer: 635.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 3.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1))\/z)**(-2\/95) assuming z is positive.\nAnswer: z**(-2\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -170*d + 9*d - 419*d - 60*d - 263*d. Let b(o) = o**2. Calculate b(c(h)).\nAnswer: 815409*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + -4 - (17 + -8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1147 is divided by 360.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 4. Let v(g) = 54*g - 31. What is n(v(k))?\nAnswer: 2916*k**2 - 3348*k + 965","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -10\/7, 0.026941, -0.04, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8328 - 8348.9956. Let z = -11 - 10. Let u = p - z. Round u to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*1*1*-3)\/(-6*(sqrt(80)*-2 + sqrt(80) + sqrt(80) - sqrt(80))\/sqrt(10)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 6*b + 8 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/102)\/((-25)\/10).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.5 - -7. Let o = 0.1 - 0. Let i = 0.111 - 0.011. What is the closest to o in z, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59689 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 2*p - 6, 0 = -4*x - 2*p + 10 - 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 + 1. Let m be j(1). Let b = 231 + -229. Let n be ((-1720000)\/b)\/(m\/30). What is n rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*l - 19 = -0, 5*l = -15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/51625125 and -133\/16520040?\nAnswer: 413001000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2301 (base 7) in base 10?\nAnswer: -834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47 + 5*k**3 + 7*k**4 - 9*k**2 + 102 - 53 - 5*k.\nAnswer: (k - 1)*(k + 1)**2*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1195501814.\nAnswer: 2, 13, 53, 867563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 6*r**2 + 7*r + 4. Let u be m(-7). Suppose 5*q - u*i = 0, -2*q + 3*i - 17 = -2*i. Solve -q*n + 10 + 2 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -146.3 - -146.1. Which is the second smallest value? (a) 3 (b) -7 (c) s (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 2:43 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8970 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 827 (base 13) to base 12\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, y: 3}. What is prob of picking 1 y and 1 a?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-30) + 3 + (-3 - 112854\/(-36)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-12)*2\/(-40)*-4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 4*f + 2*u - 56, 5*f = -4*u + 76. Suppose 0*a - f = -3*a. Solve -4*p + j = -2, -3*j + a = -p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 32. Solve -q*m + 3 + 13 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 97\/(-4) - (-3 - -4). Suppose -143 = 5*z - 2*q, z - 193 = -3*q - 191. Which is bigger: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**4 + 142*b**3 - b**2 + 5007 wrt b?\nAnswer: -12*b**3 + 426*b**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-45 + 1)*14\/224*-8. Solve 4*j - 24 = 3*w, 6*j = -4*w + 8*j - c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {c: 1, r: 1, i: 1, f: 1, w: 2, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k + 21. Let c(j) = 5*j - 11. Let l(h) = 11*c(h) + 6*g(h). Differentiate l(f) with respect to f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**2 - 3*c**2 + c**4 - 1401*c + 1406*c in the form i*c + d*c**3 + j*c**4 + x*c**2 + r and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 2\/9*v**3 + 1\/6*v**4 + 1 - 2\/15*v**5 + 0*v**2 - 1\/9*v**6 + 0*v. Solve y(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4\/8 - 375*x**3\/2 - 576783*x**2\/8 - 5433438*x - 5361528 = 0. Calculate x.\nAnswer: -136, -1, 773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4810068 or 4810066?\nAnswer: 4810066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -64*t**2 - 24*t + 24. Let x(g) = -6 - 11 - 6 + 5*g + 18 + 13*g**2. Give -5*r(y) - 24*x(y).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**7\/42 - d**6\/12 + 13*d**5\/12 - 25*d**4\/12 - 639*d**2. Determine a so that p(a) = 0.\nAnswer: -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(-37))**(-2\/5) assuming c is positive.\nAnswer: c**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 9. Let m = 0.151 - 8.451. Let p = -8.2 - m. Which is bigger: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 5*d**2 + 6*d + 1. Suppose -8 - 4 = 2*z. Let s be r(z). What is the units digit of ((-5)\/(-10))\/(s\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = k - 2*k + 445, -5*k + 2243 = -3*p. Calculate the greatest common factor of k and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 645, 854, 1041, 1194, 1301, 1350, 1329, 1226?\n\"Answer: -2*v**3 + v**2 + 220*v + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19015.337 + 19026. Let d = f + -13.92. Let x = d + 3.3. Round x to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 139378*a**3 - 103393*a**3 - 9.\nAnswer: -242771*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*r - 13. Let s be (-3)\/(2 + 18\/r). Does 7 divide (-6)\/s + 68\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 4*l + 0*l)*(-l**2 - l**2 + 0*l**2)*(-2*l**2 + 0*l + 0*l).\nAnswer: -28*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-101)\/808 - (0 - 6\/(-80)). What is the biggest value in -4, n, -0.5, 7.1?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*sqrt(486)*-3)\/(-6*2*sqrt(108)))**2*-1.\nAnswer: -729\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-37609995*2)\/(-2) + 30\/6. Round w to the nearest one million.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d - 23. Let z be f(-5). Let q(o) = -o**3 + 11*o**2 + o - 8. Let m be q(11). Solve 2*v - 26 = -4*a, -m*v - 2*a = z - 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 51. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrr when three letters picked without replacement from {r: 1, m: 5, f: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -11*r - 20. What is the lowest common multiple of 14 and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 46369280*y**2 - 107505460016625*y - 215011105510410.\nAnswer: -5*(y - 4636929)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40434 is divided by 1394.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**4 + 960*h**3 + 4945*h**2 - 3840*h - 19700 = 0.\nAnswer: -5, -2, 2, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**5\/20 - j**4\/3 + j**3 + 9*j**2\/2 - 808*j. Calculate x(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1048*q + 976*q + 495 - 2079. Which is the second biggest value? (a) 1 (b) -0.7 (c) 0.2 (d) -1 (e) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 219 - 3?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -39.3 * -4966.43\nAnswer: 195180.699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12825, -25648, -38471, -51294, -64117, -76940?\n\"Answer: -12823*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25)\/15*(-4884)\/185. Solve a*g - 38*g + 30 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 822144, 1644335, 2466526?\n\"Answer: 822191*a - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 44288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 425.6387 to the nearest ten.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -3346320?\nAnswer: -3346325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3122, 6226, 9330, 12434, 15538?\nAnswer: 18642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p**2 - 17*p - 3. Let l be x(7). Let k be -6*20\/l - (-40)\/9. Suppose g + 1 - 3 = 0. What is the nearest to g in k, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69)\/(-46)*580\/(-29))\/(-22)?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 976*g**3*i**3 - 457*g**3*i**2 - 3*g**2*i**2 - 2*i**5 wrt i.\nAnswer: 5856*g**3 - 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -533 - -10001?\nAnswer: 5024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f**3*w**2 + 1997*f**3 - 68820*f*w**2 wrt f.\nAnswer: 36*f*w**2 + 11982*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((f - 4*f + 5*f)*(f - f - f) + 0*f**2 + 0*f**2 - f**2)*(-3 + 3 + 2*f**2) - 588*f**4 - 569*f**4 - 33*f**4.\nAnswer: -1196*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/238 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 34 - -2 - -35 - -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2232 = 980*a - 856*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6*z**(-19) assuming z is positive.\nAnswer: z**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7252\/253 < 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**5\/3 + 280*y**4\/3 - 6028*y**3\/3 + 12536*y**2 - 6960*y - 21600 = 0.\nAnswer: -1, 2, 9, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + p - 1. Let u(z) = 6*z**3 + 6*z**2 - 10*z + 3. Let m(r) = -4*c(r) - u(r). Let d(g) = 2*g**3 + 5*g**2 - 5*g - 1. Determine 6*d(o) + 5*m(o).\nAnswer: 2*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a millennium?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/12 - 22\/4. Let o(f) = -f**2 - 2*f. Let j(x) = 2*x**2 + 4*x. Determine h*j(r) - 11*o(r).\nAnswer: -r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/2894 and 7\/18?\nAnswer: 26046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 14047 + 3*i + 14050 - 28098. Let v(w) = 5*w - 3. Determine -11*d(s) + 6*v(s).\nAnswer: -3*s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*z - 12741, -3*z = -b - 25148 + 6014. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(2\/9)*y*y*y*y)\/y*y**(2\/7))\/(y**(-1\/8)*y\/y**(-4\/7)*y*y))\/((y**(-1\/5)\/y**(4\/3))\/((y*y**5\/y)\/(y*y**8))) assuming y is positive.\nAnswer: y**(-3541\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -2592*m**7\/7 + 799*m**3\/3 - 2808. Find the third derivative of z(c) wrt c.\nAnswer: -311040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 66, -18, -764, -2682, -6282, -12074, -20568, -32274?\n\"Answer: -85*b**3 + 179*b**2 - 26*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -96900 and 4.915.\nAnswer: -96895.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**5\/3 + 764*a**4\/3 - 17897*a**3 + 301290*a**2 = 0.\nAnswer: -830, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*1*3\/(-3). Let n = 4 + o. Let m(t) = 12*t + 2. Let l be m(n). Solve 0 = -5*z - 1 + l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 0.5 (b) -23 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.841480022 to 2 dps.\nAnswer: 9.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4383 + 4416. Solve -29*a = -b*a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-116)\/(-6))\/2 - (-432)\/1296.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-524)\/60 + 9)\/((-4)\/10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 223*r**4\/3 - 16*r**2 + 125*r. Let n(g) = -4*g**2. What is i(n(s))?\nAnswer: -7136*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 7 + 4. Suppose 0 = 6*r - c + 19. Let p = -2 + 1. Is r smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 51*p**3 - 2*p**2 + 2*p - 1. Let n be r(1). Calculate the common denominator of -21 and (-2)\/4 - 585\/n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2. Let u = 1 + l. Let s(g) = -g**3 + 13. Is 6 a factor of s(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 2*x**2 - 171*x - 36. Let s be d(-12). Which is greater: 4\/1543 or s?\nAnswer: 4\/1543","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Suppose 53 - 74 = -21*g. Is o smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 85\/42?\nAnswer: 85\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6534872 to the power of 1\/2, to the nearest integer?\nAnswer: 2556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 108297 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 168 + -78?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 13*b - 9*b + 7*b)*(12*b - 10*b + 15*b).\nAnswer: 187*b**2 + 102*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = 4*d + v, -2*v = 4*d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5074.934um to meters.\nAnswer: 0.005074934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -415 (base 11) to base 4.\nAnswer: -13310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g + 83*g = 378. Solve -3*f + 22 = -5*z, -10*f + 11*f - g = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 92, 91, 90, 89, 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31494 and 5824218?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*w - 2149749 = 2529995. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**5\/60 - u**4\/2 + 2*u**3\/3 + 6*u**2. What are the prime factors of q(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 n, and 1 g when four letters picked without replacement from {a: 1, g: 6, n: 6, y: 1, h: 3}?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*y - 9. Suppose 2*f = -q + 12, q - f + 36 = 5*f. Solve 0 = -2*g - q*g - 2*s, 5*g - y*s + 30 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3772438273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 216 + -213. Let r(p) = -19*p + 62. Let x be r(n). Solve 3 = -2*v + x, 3*j + 3*v - 9 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 391 + -4295\/11. Let m = 14.4 - 193.4. Let r = m - -174. What is the third smallest value in 0.3, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 9:33 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -299.794 + 297.79401. Let h = -0.04 + 2.04. Let z = p + h. Round z to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.1, -0.17, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 6*o**2 + o - 2. Let c be a(6). Find h, given that -8*h**5 + 15*h**c + 20*h**5 - 9*h**3 + 2*h - 15*h**2 - 5*h = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4429 = -4*q + 3*r - 836, -r = -4*q + 3595. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -57771716 - 37?\nAnswer: -57771755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 4*b**2 - 5*b - 3. Let q be c(2). Find the first derivative of 0*r - 24 - 2*r + q*r - 6*r wrt r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 18*y**2 - 41*y + 20. Determine o(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 603 + -555. Calculate the highest common factor of i and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 351, 1333, 3333, 6711, 11827?\nAnswer: 19041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: (73\/3212*44)\/(1\/(-25))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/2552549 and 103\/35772.\nAnswer: 336936468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 7*k**2 + 4*k + 7. Let h be r(6). Let l(f) = 7*f + 31. Let u be l(-4). Let p(n) = 0*n**u + n**3 + 6*n**2 - 5*n + 4 - 2*n**2 - 5. What is p(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.2226 times 1.07?\nAnswer: 83.698182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of -50*(13 - 16 - (-3987)\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence moi when three letters picked without replacement from {o: 3, w: 2, m: 1, b: 1, i: 3, c: 3}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 3*x - 9. Suppose -4*j - 5*c + 0 - 10 = 0, -2 = 4*j + c. Suppose 0 = 3*g - j + 6. Sort x, 5, g in decreasing order.\nAnswer: 5, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223191 + 96774\nAnswer: -126417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 47 - (-1)\/(2\/(-6)). Let m = w + -35. Let n(b) = -b - 5. Calculate the remainder when m is divided by n(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 927 (b) 54 (c) -0.2 (d) -5 (e) 0 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-55)\/15)*(4 - 7). Solve 6*k = g*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 5:57 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 7. Let c be v(-4). Which is greater: 4 or c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 10, 187, -3\/5, -3, 2\/21, 0?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 13*x - 11. Suppose 0 = -d - d + 24. Let b be c(d). Let s be 3*2 + (-7)\/7. Solve s*i - 9 - b = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908 is divided by ((-20)\/20)\/(4\/(-380))?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -821 + 1262. Calculate the greatest common factor of a and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*l**3 - 3 - l - 5*l to a + m*l + p*l**2 + t*l**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -437 or -3944\/9?\nAnswer: -3944\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*(j*j\/(j*j**(-16))*j)\/j)\/j))\/j**(-7)*(j\/j**(-2\/79)*j*j*j)\/(j**(1\/34)*j*j) assuming j is positive.\nAnswer: j**(-18813\/2686)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z + 3. Let x(b) = -3*b + 2. Let q(u) = 2*d(u) - 3*x(u). Let c(i) be the third derivative of -i**4\/4 - 2*i**2. What is -c(p) - 4*q(p)?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -636*s**2 + 2*s. Let l(d) = 2*d**2. What is f(l(v))?\nAnswer: -2544*v**4 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36259*m**2*u**2 + m**2 - m*u**3 - 27*m - 152 wrt u?\nAnswer: -72518*m**2*u - 3*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8080 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: Simplify (l**1*l**7)**(-6) assuming l is positive.\nAnswer: l**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4421 (base 10) to base 12\nAnswer: 2685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 137 and -1.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*f*r**2 - 6951490*f*r + 1165013358*r**2 wrt f?\nAnswer: -7*r**2 - 6951490*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 7*c**5\/6 - 76*c**4\/3 + 691*c**3\/6 + 35*c**2 = 0?\nAnswer: -2\/7, 0, 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*v + 56*v = 32. Let i = 25\/3 - 49\/6. What is the second smallest value in v, 35, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/4031 and -1\/14365.\nAnswer: 57905315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 5 (c) -1\/3 (d) 1068\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 0*f**3 + 2*f**4 - f + 3*f - 5*f**2 - 4*f to q*f + d*f**2 + w*f**3 + s + z*f**4 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (67\/(-5) - 4)*(-5)\/6*(-4)\/2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1620.7 + 1621. Let p = -0.4 + 0.29. Which is the nearest to -1\/3? (a) 3\/8 (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 52*c - 6040. Let n be r(120). Calculate the greatest common factor of 2190 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**3 - 4*q**3 - 2*q**3 - 38*q**2 - 5*q**4 + 4 + q + 2*q**4 + 5*q**4 as d*q + s*q**3 + j + a*q**4 + v*q**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 5*z + 5. Let u be v(0). Suppose -u*k + 19*k = 3052. List the prime factors of k.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*v - 5 - 15 = 0, 4*w + 25 = -5*v. Let n = -454 + 476. Suppose 14*z - n*z + 1728 = w. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(110)\/(sqrt(33)\/sqrt(3)))\/(sqrt(20)\/(-1*sqrt(10))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 462, 1886, 4260, 7584, 11858, 17082, 23256?\n\"Answer: 475*u**2 - u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -7. Suppose -6*m = -m - 140. What is the highest common divisor of r and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 56. Let i = x + -3. Solve 3*t - 21 = i*l - 5*l, 0 = -2*l + 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*o + 2, 2*o + 2*o - 2*a = 10. Find the second derivative of -18*r**2 - 3*r + o*r + 0*r - 7*r wrt r.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 11:32 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 1 + 1)*(-i + 2*i + 0*i) + (-3*i - 4*i - 11*i)*(-12*i - 17*i + 19*i) + i**2 - 2*i**2 + 3*i**2.\nAnswer: 184*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/4 + 144*i**2 - 1145*i\/4 - 861\/2 = 0.\nAnswer: -1, 3, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -656*i**3 + 50*i + 18 + 655*i**3 + 12*i. Let a be u(8). Let m be ((-2)\/(-6) + 1)*3. Solve -m*o - a*y + 4 = -18, 3*o - 3*y - 12 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 5*i - 5. Let g be b(4). Let w be g*((-6)\/(-8))\/3. Let s = 0.2 + -0.4. Are w and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -112*l**3*z**3 - 2*l**3 - 8*l**2*z**4 + 2076*l**2 + 2*l wrt z.\nAnswer: -336*l**3*z**2 - 32*l**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*j + 75 - 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4196, -16802, -37822, -67256, -105104, -151366?\nAnswer: -206042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.19? (a) -3 (b) 2 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*-1*(-3)\/(-9). Let d = -65.7 - -66. What is the second smallest value in k, d, -10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (1*sqrt(605))**2)*-1.\nAnswer: 3630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.01 - -10. Let c = r + -0.19. What is the biggest value in -2\/3, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011432162 rounded to 6 decimal places?\nAnswer: 0.011432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3*p + 0 - 2*p)*(p - p - 2*p)*(0*p + 3*p - 2*p) to the form x + q*p**2 + d*p + z*p**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -9*d**2 - 7 + 2 + 8*d - 1 - d**3 + 2. What is the remainder when (-10)\/6*(1 + -19) is divided by o(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088227986?\nAnswer: 2, 3, 41, 4423691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -42653449.\nAnswer: -42653449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 39*z - 11*z)*(-12 - 25 - 4).\nAnswer: -1271*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*w + 39, 5*i - 5*w + 39 = -2*w. Let d be (i + 7)\/(-1)*-200. What is the greatest common factor of d and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i - 5. Let z(k) = -2*k + 2. Let h(y) = -3*r(y) - 8*z(y). Let d be h(4). Suppose 31 - 1 = d*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 705114 - 705098.99994. Let w = k - 15. Round w to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 11*h + 16. Let p be m(-11). Suppose 4*k - 4*q - p = 0, 5*k = 2*q - 16 + 27. Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9090*y + 35382 - 78102 = 74942 - 17672 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -93*x**2 + 264*x + 47. Give t(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5) + sqrt(10)\/sqrt(2))*-3*5.\nAnswer: -15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 2*s + 3)*(-4*s**4 - s**4 + 0*s**4).\nAnswer: 5*s**5 - 15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1597914 and 2286?\nAnswer: 1597914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Suppose -3*p = p. Solve -4*u + w*c = p, -7 = -4*u + 2*c - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/11*(-297)\/(-54)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -b + 505869, -3*b = 4*c - 1102247 - 415382. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + sqrt(7) + sqrt(7) + (sqrt(70)\/(sqrt(10) + 1*sqrt(10)) - sqrt(7))**2 - (-3*(sqrt(700) + 5*(sqrt(700) + -1*sqrt(700)) + sqrt(700)))**2.\nAnswer: -100789\/4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 11) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31 - 52 - 264)*((4 - 1 - 4)*(-2*c - c + 2*c) + 2*c - 2*c + 2*c + (0*c + c - 3*c)*(2 - 1 + 0) + c - 5*c + 2*c - 2) in the form w*c + b and give b.\nAnswer: 694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 7127 and 2538.\nAnswer: 9665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 - 20*i**2 + 39*i - 9. Determine p(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3194, 6389, 9584, 12779, 15974?\nAnswer: 19169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11994 - 4366942?\nAnswer: -4378936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 148800 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11132235?\nAnswer: 3, 5, 27487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63761 or -63762?\nAnswer: -63761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1574*y = -1896*y + 11914 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1.3 (c) -11 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*x + 16, -3*x + 13 - 3 = -2*m. Suppose -x*w - 104 = -4*u + 2*w, 4*w - 51 = -u. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 4*f**2 + 4*f + 7. Give t(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*b = -137 + 170, -5*b + 45 + 18 = 2*x for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.54 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*n**2 + 27*n**2 + 33*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 27753.18?\nAnswer: 277531.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6236 in 5, 381, -1\/4?\nAnswer: 381","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305383055.\nAnswer: 5, 157, 389023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23 and -2.3?\nAnswer: 0.529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -3161*b**6\/60 + 3917*b**3\/3 - 575*b**2. Differentiate x(h) wrt h.\nAnswer: -18966*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l - 52. Let r be d(-8). Let p(u) = 3*u + 21. Let h be p(-6). Solve h*f = -2*m - f + 8, r*f - 2 = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, y: 4, m: 4, v: 3}. What is prob of sequence vv?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 756\/15*135\/108.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9401238 divided by -22491.\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/9 + 65920*l\/3 - 271590400.\nAnswer: -4*(l - 24720)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -173366, -176262, -179156, -182048, -184938?\n\"Answer: v**2 - 2899*v - 170468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h - 3*h)*(-h + 0 + 0)*(44*h + 48*h - 88*h)*(-4 + 2 + 5).\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**4 + 211812*j**3 - 25474092*j**2 + 50312732*j - 25050456 = 0. What is j?\nAnswer: -53073, 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/3)*s**(-20)*s**10*s**(3\/7)*s)**3 assuming s is positive.\nAnswer: s**(-208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/6 - 1\/3. Suppose 75 = -6*u + 255. Suppose -q*k + 5*k + u = 0. Sort -3, k, 0.\nAnswer: k, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2050, -7383, -16272, -28717, -44718?\nAnswer: -64275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -21. Let u(b) = -2*b - 3. Let q be u(-2). Let l be q\/(-4) + (-2)\/(-8). Is l at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 19632*l + 2225. Is f(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150713, 301420, 452123, 602822, 753517, 904208?\nAnswer: 1054895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 - 3*p - 3. Let k(h) = -16 + 7 - 2*h + 7 - 3*h**2. Suppose 12 = 3*t - 3*o, o + 2 = 2*t - 5. Calculate t*k(x) - 2*w(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 354\/5 - 3\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 498, -3, 1 in increasing order.\nAnswer: -4, -3, 0, 1, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -927*x**2 + 153932*x + 200810117 wrt x.\nAnswer: -1854*x + 153932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - p - 1. Let j be ((-15)\/(-20))\/(p - 3\/4). What is the tens digit of 222\/(-9)*-6 - j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20613338 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21\/(-2))\/((-3)\/4). Let v = 1193 - 1158. Calculate the highest common factor of d and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 10 = h, 4*h - 922 + 875 = x for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4b63 (base 16) to base 11\nAnswer: -13555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 74*r - 68*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5. Let s = -0.191 - 0.309. Let h = 6\/23 - -57\/46. Which is the biggest value? (a) s (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9070 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 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: Calculate -3907.597*-0.5.\nAnswer: 1953.7985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34a507 (base 11) to base 12.\nAnswer: 229673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.42 - -245.62. Round i to the nearest integer.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40984 is divided by 13659.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -138*b - 19. What is the remainder when q(-2) is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -11*z**3 + 7*z**2 + 4*z + 9. Let i(x) = -21*x**3 + 13*x**2 + 7*x + 17. Let c(y) = -6*i(y) + 11*w(y). List the prime factors of c(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvi when three letters picked without replacement from vvitwitvfivwzwf?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -20*l. Let m(z) be the second derivative of 25*z**4\/12 + 235*z. Determine m(t(r)).\nAnswer: 10000*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 36. Let h = o + 25. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2 + 13 = 0. Suppose -3 = -z*d, -2*x + 3 = -d - 4. Solve 0 = 2*b - x*y + 22, 0*y - 14 = b - 3*y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1112021 (base 3) to base 14\nAnswer: -598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1 - 1 + 5*r - 15*r. Let y(q) = 2258*q + 2250*q - 9013*q + 2261*q + 2251*q. Determine g(y(w)).\nAnswer: -70*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1079, -2, -1 in descending order.\nAnswer: -1\/1079, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 48*i = -42*i - 34, -394*l - i - 17 = -399*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-42)\/(-4)*17168\/174 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**4 - 77*j**3 + 24750*j**2 + 165171584 wrt j.\nAnswer: 8*j**3 - 231*j**2 + 49500*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**3\/3 - 3*m**2\/2 + 6*m. Let d(h) = -5*h - 8. Let z = 2134 - 2137. What is z*d(l) + 8*p(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 59*c**2 + 2202*c + 213. What is w(26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**5\/9 - 4*g**4\/9 - 14*g**3\/9 + 40*g**2\/9 - 8*g\/3 = 0?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -194 = -194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2022 - -2021.9999552. Round m to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-2 - (10 - (20 + -11)))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z. Let n(y) = -y**2 + 40*y. Calculate n(u(j)).\nAnswer: -16*j**2 - 160*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.08 (c) -3\/1684 (d) -3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4299848503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 58 = -10. Calculate the lowest common multiple of f and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-120)*-6*-10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 258*q + 42. Let z be j(6). Suppose -11*p + 2854 = -z. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8033294, -8033299, -8033304, -8033309?\nAnswer: -8033314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27814 times -1.1?\nAnswer: 30595.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2054860 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-368)\/(-112) + (-4)\/14. Suppose 3*p = -5*j - 9 - 0, p + 2*j + 4 = 0. Solve 6*f + 2*q + 2 = y*f, p*f = -4*q - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -43449191.\nAnswer: -43449190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.3, 2, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 6*g**2 + 6*g + 5. Let b be c(-5). Let a = 8 - 4. Suppose b = a*f + 1 - 9. Solve w - f = -0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 30 = -2*w. Suppose w*k - 40 = -0. What is the smallest common multiple of k and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0*g**6 - 2 + 0*g**2 - 17\/42*g**7 + 0*g**5 - 67\/12*g**4 + 4*g + 0*g**3. What is the third derivative of c(b) wrt b?\nAnswer: -1020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51*(-60)\/32130*7\/9?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 3 + (-1 - (-45)\/40). Sort 11, a, -2\/5.\nAnswer: -2\/5, a, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c**2 - 30815822 + 30815822 - 843*c to the form a*c + l + f*c**2 and give a.\nAnswer: -843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599365618.\nAnswer: 2, 299682809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0 - ((3 - (-6 - -3)) + -12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -330*b**3 - 35 with respect to b.\nAnswer: -990*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 - -112. Let i = g - 37. Which is the second smallest value? (a) 4 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 + 68\/(-3). Let y be 4\/16*-2*x. Which is bigger: y or 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 9*l**2 - l**3 - 9*l + l**3 + 10. Let m be j(8). Suppose -t - m = -3*t. Let v(a) = 2*a - 3. Let n(r) = -1. Calculate t*v(o) - 2*n(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-28)*c*c)\/c)\/c)**(-27) assuming c is positive.\nAnswer: c**756","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4270 and 5490.\nAnswer: 38430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/24*0\/(-2). Suppose w = -d - d. Suppose 5*x - 4*a - 17 = 8, -x - 4*a + 5 = d. Solve 4*i = -r - 1, r - i = i + x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(30\/60)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 6*w - 4*k - 22, 2*k = -2*w + 54. Find the second derivative of -3*m - w*m + 87 - 6*m**4 - 87 wrt m.\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271944, 274317, 276690, 279063, 281436?\nAnswer: 283809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbjpejrrzpejrjpjjr. Give prob of picking 1 b, 1 z, and 1 j.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 9. Let g = 5 + l. Which is bigger: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f - 9. Let r be x(-6). Let o = 39 + -36. Suppose 0 = -3*c - 3*i - 9, c + 1 = -o*i. Sort r, c, 5.\nAnswer: c, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7281080669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from nnkdkchdhdkddkkl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.191 - 4?\nAnswer: -3.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49\/3 - 47\/3. Suppose -w - 33 = 4*f + 6, 0 = -4*w + f - 122. Let r be 2 + (2 - w\/(-7)). Sort -0.4, r, d in decreasing order.\nAnswer: d, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111831273*a**2 - 121181484*a.\nAnswer: 223662546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 + 3*t - 3*t + (-6*t**4 + 0*t**4 + 2*t**4)*(-t - t - t).\nAnswer: 10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-42)\/15)\/7*(-110)\/132)\/((-143)\/(-297)).\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 15, 1, -51, -140 in descending order.\nAnswer: 15, 4, 1, -1, -51, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -3*t - 15. Suppose 0*w = -2*w + 6, -t*x + 442 = -w. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 - 59. Solve 2*j - 2 - 2 = q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1428 + 1429. Is 17\/13 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -979309*a**3 + 2277573*a wrt a?\nAnswer: -5875854*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -773*o - 78 = -775*o + 4*r, -r - 24 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 7:31 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22476 = -12*j - 7284. What are the prime factors of j?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:20 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10)*(106 - 18513\/198)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134 and 72293?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 28*s - 2. Suppose 332 = 3*b - 4*g, 2*b - 174*g = -179*g + 160. Calculate the least common multiple of a(4) and b.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 2*m + 1600. Suppose -14*s + 4*s + m = 0. Find the third derivative of -9*p**2 + s*p**2 + 26*p**2 + 20*p**4 + 22*p**4 wrt p.\nAnswer: 1008*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497325.\nAnswer: 3, 5, 19, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4888.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4*(0 + 10). Let q(d) be the second derivative of -1\/6*d**3 + 9*d - 3\/2*d**2 + 0. Give q(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/410 and (-12)\/574*4475\/(-537).\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(3 - 13)*-1. Let k = 13 + q. Solve 0 = -2*b - 5*m + 2, k*b - 2*m = 2*m + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 30, 24, 4, -36, -102, -200?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71 by 214234.\nAnswer: -71\/214234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -14 - (-6 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 + 665*b - 2645. Calculate g(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -274288471*a*l + 438641205*l wrt a.\nAnswer: -274288471*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a factor of 1307344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/5, -803\/3, -1\/2, -12 in descending order.\nAnswer: 2\/5, -0.2, -1\/2, -12, -803\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15750 divided by 3150.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + 2 + 2 + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 5*k - 1. Let v be l(4). Let r = 0 + 0.4. Let o = -15.6425 + 5.6425. Which is the third biggest value? (a) v (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/35)\/(12\/30)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -11. Suppose 2*j + 2*u = 667 + 211, -j = -u - 429. Let g(i) = 433 - 2*i + i - j. Determine g(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*q**3*w**2 + 15291*q*w**2 - 14*w**2 - 162*w wrt q?\nAnswer: -6*q**2*w**2 + 15291*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*i + s + 3, 2*s = -i - 5. Let n be 1 - i\/(2\/4). Suppose n*r - 4*m = 86, 2*r + 21 = -m + 71. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 = 2*j + j. Calculate the remainder when j is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2 (c) 4 (d) 130 (e) -3 (f) -89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 3. Let v be u(-7). Let a = 27 - v. Let y(o) = 3*o**3 - 118*o**2 + 41*o - 56. What is the least common multiple of y(39) and a?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4942123, 4942125, 4942127?\nAnswer: 4942129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71853, -143698, -215543?\nAnswer: -287388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50332 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**2*t + 2*k*t**2 - 256*k*y + t**2*y + 90*t*y wrt k?\nAnswer: 4*k*t + 2*t**2 - 256*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 2*a = 3*b + 1530, 0 = -5*a. Suppose 7*y - b = 65. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5441884736 a multiple of 452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2 + 600*g - 30000 = 0.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.40277 and 23435.\nAnswer: 23434.59723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*b + 743*b + 3*h + 64 = 373*b, b - 2*h = 45 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d. Let s(y) = 2*y + 1. Let t(w) = -13*w**2 - 11*w - 16. Let b be t(-8). Let c = 754 + b. Determine c*q(k) + s(k).\nAnswer: -4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3147 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 606 a factor of 4274554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 43 = 5*y - 8, y - 3*q + 123 = -y - 21*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*f + 5. Let u(w) = w**2 + 4*w - 9. Let x(i) = 1. Let o(v) = u(v) + 4*x(v). Calculate o(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1500\/(15952221\/(-2658708) - -6). Suppose v = -38*p - 0*p. Round p to the nearest one hundred thousand.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 10458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 184*b + 2204. What is o(14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, g: 2}. What is prob of picking 1 y and 2 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*l = 246*l - 206824. What is the highest common factor of 18 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + u + 6*u**2 - u**2 + 2*u**2 - 3*u**2 + (-2*u + 4 - 4)*(2*u - 3*u - 2*u) as t*u + s + h*u**2 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/(-27) - -1 - (-679)\/63. Which is smaller: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8689 = -1291*c + 2234 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-7) + (-16)\/(-56))\/(-2). Suppose o*z + 4*z = 3*f + 61, 71 = 4*z - f. Is z <= 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - s**2 + 2*s**2)*(-2502*s - 2719*s + 4792*s).\nAnswer: -1716*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -2122130334?\nAnswer: -2122130343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q**4\/11 + 106*q**3\/11 - 162*q**2\/11 - 76*q\/11 + 208\/11 = 0 for q.\nAnswer: -1, 13\/8, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21062 + 3630?\nAnswer: -15232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-1)\/(-42)*6\/(-9).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 5.054588\nAnswer: -5.254588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -349.84 - -350. Put s, 0, -1 in ascending order.\nAnswer: -1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70795\/28711 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39.00077 - 39. Round s to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11106 divided by -3702?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 567 and 26208.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9730 * 0.3061.\nAnswer: 2978.353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 3:36 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-5\/13)*z**(-12\/7) assuming z is positive.\nAnswer: z**(-100\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2. Let g = 211 + -209. Let k(r) = -2*r**g - 3*r**2 - 3*r**2 + 6*r**2. What is f(k(t))?\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 515*z**2 + 735 wrt z?\nAnswer: 1030*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**29*(g**(-42)*g)\/g assuming g is positive.\nAnswer: g**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/(-9) - (-659)\/219. Is 0 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 2*f**4 + f**2 + (48*f**2 - 27*f**2 + 11*f**2)*(-2*f**2 + 3*f - 3*f).\nAnswer: -62*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, j: 1, g: 2}. What is prob of sequence jggz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**5\/60 + h**4\/24 + 4*h**2. Let p(i) = i**2 - 29*i - 36. Let y(q) = 5*c(q) + p(q). Factor y(v).\nAnswer: -4*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 20.8. Let s = -0.2 + x. Which is the nearest to -0.2? (a) -4 (b) s (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 3:51 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -217 + 223. Let j be -1*w\/15 + (-12)\/(-5). Solve 2*o + j = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4136, 4194, 4274, 4388, 4548, 4766?\n\"Answer: 2*v**3 - v**2 + 47*v + 4088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8076368571 minus 3?\nAnswer: 8076368568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v - 41. Let i(q) = 3*q + 20. Calculate 11*i(p) + 6*w(p).\nAnswer: -3*p - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2206, -8861, -19956, -35491, -55466, -79881, -108736?\n\"Answer: -2220*w**2 + 5*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -142? (a) -3\/14 (b) 0.1 (c) -1\/1331 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -28. Suppose -2*v = -5*s + 593, 0 = -v - 0 + 1. Let x = 200 - s. Calculate the remainder when x is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**2 - 2*y**2 - y**3)*(2 - 4*y + 4 - 3) to w*y + c + g*y**2 + r*y**3 + o*y**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-56)\/(-21))\/(6\/20988*1)?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105642 is divided by 239.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -43. Solve -2*z = -4*v - 6, 2*v + 0*z + 2*z - b = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - 4*x + 1. Let o be (-1 + 3)\/(3\/6). Let c(q) be the second derivative of q**3\/6 - 6*q - 3. Give o*c(d) + k(d).\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093 a factor of 4050762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2\/13 - 30328*o\/13 - 4501434\/13 = 0.\nAnswer: -147, 15311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 - -84. Suppose 2*m - 33 = h. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126*b**3*q**3 + b**3 + 47842*b*q**5 + 357926*b*q - q wrt q?\nAnswer: 756*b**3*q + 956840*b*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - d**2 - 5*d - 7. Calculate the least common multiple of z(-2) and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**2 + 513*z + 57304. What is y(-64)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 3 - 3 + (-3 + 5 + 0)*(-2*k + 2*k - 2*k) - 1 + 1 - 2*k - 2 + 2 - k + 4*k - 2*k - k + 2*k - 3 + 3)*(k - 2*k - k)*(7 + 0 - 1).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a + 15. Let r(c) = -2*c + 8. Let j(w) = 5*r(w) - 3*u(w). What is j(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*p**3 - 13*p + 46*p + 33*p**3.\nAnswer: 2*p**3 + 33*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 120*n**2 - n + 2. Let h be q(2). Let f be h\/(-18)*(-7275)\/(-2). Round f to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -1\/30*q**5 + 0*q**3 + 0*q**4 + 3*q**2 + 7\/120*q**6 - 1\/42*q**7 + 0 + 0*q. Factor w(o).\nAnswer: -o**2*(o - 1)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -402741.06 rounded to the nearest ten thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5200 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 70*q + 708. Suppose 2*r + 5 = -3*r. Let d be (-1)\/4*r*-43. Which is greater: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 0*k + 2*k)*(2 - 3 + 0)*(37 + 17 + 3)*(0*k**3 + 2*k**3 - k**3) as z*k**4 + p + u*k**3 + x*k + y*k**2 and give z.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 80a8 (base 16) to base 9\nAnswer: 50155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*o = -6 - 0, 4*z - o - 7 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 10:20 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -9*s - 11. Let a be q(9). Let i be a\/(-6)*30042\/(-12). Let b = i + -157613. What is b rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -261953 at least -261921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 13*y**7\/14 - 7*y**4\/2 - y**3\/6 - 16*y. Find the third derivative of q(g) wrt g.\nAnswer: 2340*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/13, 19\/3, -1, 2\/11, -120?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = 5*x, -6 = -4*x + 3*l - 5. Let h be (2 - 3)*(-7 - x). Put h, -56, 1 in ascending order.\nAnswer: -56, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 119, 120, 121?\n\"Answer: d + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67*-1)\/(-1*(-18)\/378*-21*-1).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6271708 and 2?\nAnswer: 6271708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, q: 9, l: 3}. Give prob of sequence qmq.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.6 + -1.4. Let n = 11.1 + o. Which is the closest to 1? (a) 1\/2 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578618 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 18*w**2 - 25*w + 432. Determine q(18).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 249.42676 to 2 decimal places.\nAnswer: 249.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -48 - 8 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 547, -810, -4495, -11672, -23505, -41158, -65795?\n\"Answer: -194*k**3 + k + 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -6.55. Let f = 0.35 - u. Let d be -1 - (-3)\/2 - 1. Which is the third biggest value? (a) -4 (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1022*w - 20853. Give n(22).\nAnswer: 1631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -384, 5\/6, 1, -0.1, 939.37?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(170)*-1*-3 - -3*(sqrt(170) - -2*sqrt(170)))\/(sqrt(160) + sqrt(160) + sqrt(160)*-3*-3).\nAnswer: -5 + 3*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 24365, -46, -0.2 in decreasing order.\nAnswer: 24365, -0.1, -0.2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, 485, 6, 0.\nAnswer: -16, -4, 0, 6, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 16*l - 35. Determine i(17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143321147.\nAnswer: 61, 373, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(3564) + (sqrt(3564) - -4*(sqrt(3564) + 1)) - (3 + -1 + sqrt(44) + -1)*-1)**2.\nAnswer: 380*sqrt(11) + 15909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 1 = 2*f, -2*r - 1130 = 5*f - 1131 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33358079.\nAnswer: 33358079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) -1\/4 (c) -0.4 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 8 - (-3 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 12 = -0*u. Let o be 2\/7 + (-24)\/35. Suppose l + f = 7, -3*f = 2*f - 15. What is the closest to o in u, -2\/3, l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122259143 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 3*h + 1. Let l(d) = 8*d**2 + 462*d + 28806. Let j(a) = -6*k(a) + l(a). Factor j(u).\nAnswer: 2*(u + 120)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 45. Suppose 7*u - o = 2*u. Suppose -2 - 13 = -u*n. What is the biggest value in -3\/7, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -204 + 135. Let p = r + 73. Suppose -c = p*z - 133, -2 = z + 2. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/300 + 451\/300. Factor 3\/4 - 3\/4*s**4 - m*s + 0*s**2 + 3\/2*s**3.\nAnswer: -3*(s - 1)**3*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39772602*x**3 - 83927582*x wrt x.\nAnswer: -238635612*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865751?\nAnswer: 865751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/3, -2\/13 in ascending order.\nAnswer: -2\/13, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 286187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041104 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 460, 500, 528, 544, 548, 540, 520?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 144*q**2 + 36*q - 18. Let l(w) = w**2 - 2*w + 1. What is -18*l(c) - p(c)?\nAnswer: -162*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, -0.23, -0.5, 15, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, y: 15}. Give prob of picking 2 y.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*i - 18 + 3 = 0, 2*w - 38 = 5*i. What is the closest to -1 in 1, w, 2, -2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4429567 is divided by 208.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + d**2 + d + 4. Let h be y(0). Suppose 2*u - 7 = -3*c + 7, -c + 28 = -h*u. What is the smallest common multiple of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + 10 - (-440 + -1). Let r = q + -267. Let z = r + -96. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmjllmllmllmbml. What is prob of sequence llll?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 9:07 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148 and 3774?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003970042 rounded to five decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2)*c**(-2\/15)\/c)**(3\/22) assuming c is positive.\nAnswer: c**(-19\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) + (-45)\/(-108). Factor -k*h**2 - 2\/3*h + 0 + 2\/3*h**4 + 2\/3*h**3.\nAnswer: 2*h*(h - 1)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from {k: 10, u: 1, i: 2, p: 1}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/7)*j\/(j**(-2\/7)*j*j)*(j**(-1\/3))**(-1\/29))**38)**(-1\/45) assuming j is positive.\nAnswer: j**(-2698\/5481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 + 4*t**2 + 3*t**2 + 8*t**2.\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(11\/(132\/40)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-8))\/(9\/(-6012)). Suppose -3*r + 129 = 3*d, -4*d + u = 3*r - 0*r. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 7*k = -k + 3, -62*i + 17*k - 16*k = -185 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 99*a**2 - 85299*a + 51666. Give w(861).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5969760 to the nearest integer?\nAnswer: 2443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 78084\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -238 in -17\/7, 0, 2, -0.07?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, e: 1}. Give prob of sequence eg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**5\/11 - 436*o**4\/11 + 7390*o**3\/11 - 38204*o**2\/11 + 40368*o\/11 + 86400\/11 = 0.\nAnswer: -1, 4, 6, 9, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from ffmmmvvvflmqvq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(468) - -1*(sqrt(468) + 0)) + -3 + -1*-2*sqrt(468) + -1)**2.\nAnswer: -192*sqrt(13) + 7504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -168*u - 230*u + 8313 + 398*u - 7754*u**2 - 1341*u**2 with respect to u.\nAnswer: -18190*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1005157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -61103 (base 11) to base 9\nAnswer: -145443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 - 14*f**2\/3 - 338*f\/9 + 42.\nAnswer: 2*(f - 27)*(f - 1)*(f + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**2 - 3*p + 1. Let a be f(2). What is the second derivative of -21*l + 4*l + a*l + 7*l**3 wrt l?\nAnswer: 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 2*d**2 - 4*d - 3. Let q be n(-3). Suppose 10 = -5*j - 5*f - q*f, 4*j - f = 12. Suppose -a + j = 1. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k + q - 50 = -q, -36*k - 2*q + 39 = -24*k - 131 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/6*140\/25. What is the highest common divisor of j and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*o + 22*o - 12 - o**4 + 5*o**4 - 3*o**3 + 14 as j*o + t*o**2 + p*o**4 + g*o**3 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4764300183.\nAnswer: 3, 47, 11263121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -3, -1804, 0.04, 0?\nAnswer: -1804","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 - 85. Sort -5, -1, -4, d in ascending order.\nAnswer: -5, -4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/63*3*(4 + -18). Solve 0*p = -l*p - 2*v - 26, 2 = -2*v for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**4\/12 - s**2\/2 - 3*s - 1. Let y(i) be the first derivative of a(i). Differentiate y(u) wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1949, 429, 4 in decreasing order.\nAnswer: 1949, 429, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/13)\/(y\/(y*y**(-2\/55)*y*y)) assuming y is positive.\nAnswer: y**(1514\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11820*a*b**3*z + 7*a*b**2 - 515*b**3*z**2 + 888561*b**2*z + 2*z**2 wrt b?\nAnswer: 70920*a*z - 3090*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -954 less than or equal to -948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -3.75. Let t = j + -2.85. Does t = -146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -266147, -266154, -266163, -266174, -266187?\nAnswer: -266202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -0*t - t + 2*l, 2*t + 4*l = -20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 4, 8, -1, -2, 3 in increasing order.\nAnswer: -14, -2, -1, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -2098?\nAnswer: -2094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 46. Let j(y) be the second derivative of -y**3\/3 - 47*y**2\/2 - 205*y - 3. Calculate -2*j(h) - 3*o(h).\nAnswer: h - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.113 - -0.047. Let o = g + -0.034. Which is the nearest to o? (a) -2\/3 (b) 2\/11 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3 + 62977481*j**2 - 28727188*j?\nAnswer: -6*j + 125954962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-33)*(-14 + (-12)\/(4800\/(-5648)))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -290, -538, -790, -1046, -1306, -1570, -1838?\nAnswer: -2110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgkkjjkkgygjggy. Give prob of sequence ykg.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 82 + 0)*(1 - 2*n - 1) - 4*n - n + 4*n - 4*n + n + 0*n + (-2*n + 2*n - 2*n)*(-1 - 2 + 5).\nAnswer: 72*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5964462 and 1197.\nAnswer: 113324778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*sqrt(153) + (sqrt(1377) + -1*sqrt(1377) - sqrt(1377)) + -1.\nAnswer: -21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -818*j. Let k(v) = -2*v**2. What is s(k(r))?\nAnswer: 1636*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.13, -4, 1?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, 13, 8, -1?\n\"Answer: -2*o**2 + 5*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*i + 2 - 188*i - 114*i + 33*i to s + w*i and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132976?\nAnswer: 2, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l + 8 = 20*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7478515 greater than 216876898\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -178 + 178.066. Let w = 11 + -11. Is o not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -235*c + 1089. What is v(8)?\nAnswer: -791","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**3 + 93*l**3 - 38*l**3 - 28*l**3 - 19*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/56 of a week?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -1 + q - 2*q - 4*q - q**2 + 4*q. Let j(h) = -h**2 + 21*h - 49. Let y(s) = -2*j(s) - 2*r(s). Find l, given that y(l) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 4330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -245.34 + 246. What is the third smallest value in 25, 2, q?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -22711, -5, 0.2 in decreasing order.\nAnswer: 0.2, 0.01, -5, -22711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (sqrt(405) - (1 + sqrt(405))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 8. Let d be r(-7). Calculate the remainder when 45 is divided by 6\/(-9) - (-142)\/d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/13 (b) -1\/4 (c) 2\/11 (d) -29\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-18)\/(-28))\/(4480\/7840)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27*(-38)\/3591 + (-138)\/(-42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 38*x + 67 - 626 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*a + 8 = 0, 16 = 2*q - 47*a + 43*a. Suppose -5*r = 5*k + 41 + 309, -q = -2*k. Which is bigger: -76 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 5. Let b be 4\/f*(-10)\/(-4). Suppose q - 4 = -b*u + 3, 0 = 5*u - 3*q + 10. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 364, 728, 1092, 1456, 1820, 2184?\nAnswer: 2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1339127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 1:51 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*k - 63*k + 48 = 0. Calculate the least common multiple of k and 10 + (-1)\/(-2)*-2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 16*f - 2856. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-3 - -1)\/4. Let k be (7\/3)\/(c\/(-3)). Let f(z) = z**2 + 3*z - 9. What are the prime factors of f(k)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003671945 rounded to 6 decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 6999885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/357?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063 a factor of 603414349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or -26.9146772?\nAnswer: -26.9146772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2271.\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491887 is divided by 3793?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 5*o**2 - o + 116 + 5*o**2. Let f be b(0). Let w = -83 + f. What is the remainder when w is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 30 = -0. Let p be (-8)\/(-18)*z\/(-4). Let y = -694\/7 - -99. Which is the closest to 0.1? (a) 5 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*-1*5)\/(1*sqrt(576)*-5)*-1.\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16614 + -15396. Calculate the least common multiple of q and 290.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - 0) + ((-110918)\/(-12) - -8). Let q = 9222 - u. Let t = 5467\/156 - 552\/13. Find the common denominator of q and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 12:44 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1, 2\/5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.76 + -1.995. Let i = h + 0.23398. Round i to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/3*l**4 - 1\/3*l - l**5 + 2*l**2 + 4\/3*l**3 - 2\/3 = 0 for l.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgkgs. What is prob of picking 2 g and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68843?\nAnswer: 43, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*j*q - 112*b**2*q - 1104*b**2 - 2*b*j - 16*b*q wrt q.\nAnswer: -b**2*j - 112*b**2 - 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n + 39. Let a be m(-8). What is the least common multiple of 33 and (60\/(-8))\/(a\/2)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204920919?\nAnswer: 34667, 34757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/7 - 834*h**2\/7 + 277290*h\/7 - 2546154.\nAnswer: -2*(h - 117)**2*(h + 651)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*g - 116, -3*t - 2*t = -g - 164. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 5*f**2 + 22*f - 87. Let q be u(5). Calculate the greatest common divisor of 2507 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -11*b**2 + b - 8. Let h be w(4). Let q = h - -487. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n = -2. Suppose -n*q = -190 + 46. What is the lowest common multiple of (-4)\/(-26) - q\/(-39) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 3*s**2 - 15 + 34 - 3.\nAnswer: -3*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 6:32 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -2\/9, 4\/7 in descending order.\nAnswer: 4, 4\/7, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/11 + 136*l**3\/11 - 24*l**2.\nAnswer: -2*l**2*(l - 66)*(l - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1 + 0 - 4 - 8*d. Suppose 0 = -2*k + k - 4. What is the remainder when x(k) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 14) to base 6.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 39*r**2 + 457*r + 630. What is b(-10)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 788506844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16624)\/3117*(-3)\/(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686492389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -15*y**2 - 2*y - 2. Let u(c) = -30*c**2 - 4*c - 4. Determine 5*p(l) - 3*u(l).\nAnswer: 15*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - 5*w**2 - 9*w + 65. Let g(k) = k**3 - 4*k**2 - 8*k + 59. Determine 4*g(j) - 3*x(j).\nAnswer: -2*j**3 - j**2 - 5*j + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2550 + -30511\/12. What is the common denominator of -71\/2 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 11*q - 94. Let t be n(8). What is the closest to -2\/5 in t, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/2230 and -43\/119974.\nAnswer: 599870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93 - 97) + (-2 - 1) - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 6:51 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*v + 704*v - 515*v.\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 0 + (15 + -21)*208. Is a less than -1250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 29*d**2 + 5*d**2)*(0 - 3 - 1)*(-2 + 0 + 3)*(3*d - 3*d - 2*d).\nAnswer: 280*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-2.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2159736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**1\/n*n*n)\/n*n))**(3\/2)*(n*n\/((n*n**(1\/2)*n)\/n))**44)\/((n**(2\/19)*n)\/n*n*(n**(-3\/5)\/n)\/n)**(-41) assuming n is positive.\nAnswer: n**(-4017\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 19. Let g be 1 - (d + 6)*-1. Solve -7*j = -g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqqnnnnnqnn.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 + s**2 - 64*s**3 - 74*s**3 + 0*s**2.\nAnswer: -143*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15268)\/3817)\/(4\/(-21)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1004*x - 89356. Give b(-89).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 722356 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73\/3 - 201\/8. Let c = -9\/8 - w. Let z = 0.27 + -1.27. What is the nearest to z in c, 5, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3*y**2 - g**3*y - 386119*g**3 + 2*g**2*y**2 + 3*g**2 + 1292*g*y**2 + 75*y**2 - 1 wrt g?\nAnswer: -6*y**2 - 6*y - 2316714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**3 + 786*l**2 - 348*l - 8768. Determine y(196).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377)*-3 + 1 + sqrt(1377))**2 + 1 + sqrt(1377) + 1 + 1)*4*6.\nAnswer: -648*sqrt(17) + 132288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/2 + 5829*z**2\/4 + 7281*z\/2 + 1456 = 0. Calculate z.\nAnswer: -2912, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10997 + 11047. Let l = 901 - 1354. Let o = -155 - l. Calculate the remainder when o is divided by q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 73, 531, 1765, 4165, 8121, 14023?\n\"Answer: 65*k**3 - 2*k**2 + 9*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 + 2*m**2 + 6*m + 8. Calculate n(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 + l + 2. Let t(b) = -2*b**3 + 2*b + 2. Suppose 5*r + 30 = -2*f + f, 5*f = -5*r - 30. Let a be 15\/r - ((-1)\/2 + 1). Determine a*p(j) + 2*t(j).\nAnswer: 2*j**3 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 137430 - 137526 + 2*v**3 - v**3 - 21*v - 28*v**2 - 104*v.\nAnswer: (v - 32)*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -354344 + -205?\nAnswer: -354553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - -34. Let p(k) = -k**3 - 47*k**2 - 133*k + 10. Let j be p(-44). Suppose -n*v = -48*v - j. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 1 + 3 + 3. Let k(j) = j**3 - 4*j**2 - 4*j + 11. What are the prime factors of k(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -121, -223, -377, -589, -865, -1211, -1633?\nAnswer: -2137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38170, -38169, -38168, -38167?\n\"Answer: k - 38171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*m + 2. Let u = 0.061 + -0.031. Let p be (6\/15)\/((-5)\/10). What is the closest to u in p, -2, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2\/4 + 284229*r\/2 + 26928708147\/4 = 0.\nAnswer: -94743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -49, -61, -83, -121, -181, -269, -391?\n\"Answer: -s**3 + s**2 - 8*s - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71666067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h**2 + 2*h + 1. Let u(v) = -34*v**2 - 11*v - 6. Let s(d) = 11*a(d) + 2*u(d). What is s(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12985 is divided by 3211?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.011 - 0.189. Let s = p - -3.08. Sort s, 0.4, -0.4 in decreasing order.\nAnswer: 0.4, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 24069.\nAnswer: -24069.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 773964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 32*c**2 + 708*c - 117. Give b(47).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -39. Sort d, 0, 2\/11 in descending order.\nAnswer: d, 2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772326 is divided by 1172?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2368 - -2368. Solve q + 1305 - 1311 = y for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + b33?\nAnswer: b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 685, 674, 657, 634, 605, 570?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -27, -2, -5, -1\/6.\nAnswer: -27, -5, -2, -1\/6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 66*l = 16146. What is the greatest common factor of 23 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 12 + 2)*(2*p + 2*p - 5*p).\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.5 - 9. Let v = 1 + -1. Let s be 15\/4*(-4)\/10. Which is the closest to v? (a) 1 (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 14*r**2 - 11*r + 15. Calculate s(14).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 2 = 2. Let k = 108 + 117. Let z = 2023\/9 - k. What is the third biggest value in z, -2\/11, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v - 4. What is the lowest common multiple of g(-3) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -844*i - 5124. Determine g(-6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Suppose -q*u + 17 = 2*a - 132, -4*a + 145 = 3*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -6*r + 152. Suppose 3*b + d - 144 = 6*d, -5*b + 5*d = -250. Let u = r - b. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 2*p + 33. Let v be c(-9). Suppose v = -2*a - 2*d, a = -a - 5*d - 120. Let o = a + 95. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d - d + (0 - 3 + 2)*(-2*d + d - d) - d - 2*d + 6*d)*(12*d**2 + 5*d**2 + 21*d**2).\nAnswer: 228*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/96 - (-1)\/2. Suppose -11*o - 47 + 3 = r. Is -0.2 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250 a factor of 34233520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 30.25616ng?\nAnswer: 0.00000000000003025616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -278781.\nAnswer: 1\/92927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 34 (c) -5 (d) -1 (e) 18\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - -81198442.5.\nAnswer: 81198449.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 306, 67, 82 in descending order.\nAnswer: 306, 82, 67, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvmyhvhhvv. What is prob of picking 3 h and 1 v?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.81 + 4.81. Which is the second biggest value? (a) 2\/19 (b) -2\/7 (c) u (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 0.04064?\nAnswer: 0.34064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77)*1 - sqrt(77)) + sqrt(77))*-4 - sqrt(77))\/(3*sqrt(44)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8442*o**5 + 183*o**3 + 3126642*o - 1?\nAnswer: 168840*o**3 + 1098*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 1. Let g(a) = -1. Let v(s) = s**3 + s**2 - 60. Let w be v(0). Let m be (-4)\/w*10*(-6)\/(-4). Give m*y(p) + 3*g(p).\nAnswer: p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 315547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79.14 - 75.14. Which is the closest to -2\/27? (a) o (b) 2\/5 (c) -2\/9 (d) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + -1 - -1 - 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 452, 103, 4 in descending order.\nAnswer: 452, 103, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 + 2160*u - 855218\/3.\nAnswer: 2*(u - 127)*(u + 3367)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55897837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-9))**(7\/3) assuming i is positive.\nAnswer: i**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from biibdiicdbdidcb.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6406 is divided by 741?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 7. Let w be 12\/v + (-12)\/(-6). What is the third biggest value in -5, 4, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 2*v + 4*v**2 + 5*v**2.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*v - 122, -4*v + 14 = -y + 122. Is -26 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -119*o + 170*o + 250*o + 5 - 5 + o + (-2*o + o + 0*o)*(2 - 1 + 0) - 4*o + 0*o + 3*o as k + r*o and give r.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*q + 37. Let p(f) = f**2 - 7*f - 13. Calculate the remainder when 32 is divided by p(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18, 5, -18, -57, -118, -207, -330?\n\"Answer: -s**3 + s**2 - 9*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-16)\/6 - (-17)\/(-357)*7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**3\/17 + 3124*c**2\/17 + 6262*c\/17 - 552 = 0.\nAnswer: -3, 1, 1564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44447981563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/15? (a) 0.5 (b) -1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 8 = -37. Calculate the remainder when (-5)\/(-4 - 6) + (-54)\/(-4) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 2*w + 2*w - 12.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7506*a**2 - 17*a - 22. Is t(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -71*a + 109180. Let m be i(0). Round m to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4959 divide 1365839702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, s: 2, e: 1, v: 7, g: 4, x: 1}. Give prob of sequence xsn.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-5)*3*5. Let z be 0\/2 - (4 + t). Let o = z + 3. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 1 - -15) + (-3 - (-1 + 4)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1173.6 + -1171. Which is smaller: -5 or r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 51 + 120 - 82.\nAnswer: 2*u**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086745157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m + 342 = 0. Let x = -414 + m. List the prime factors of 2\/5 - x\/30.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 1) + -8 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131480542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + sqrt(208) + -1 + 0 + sqrt(208) - sqrt(208)) + (2 + sqrt(208) + 0 - sqrt(208)) - (2*(1*sqrt(65) - sqrt(65))\/sqrt(5) + 0))**2*1.\nAnswer: 16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1015? (a) 4\/5 (b) -97\/2 (c) -4 (d) 2 (e) 5 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.63 + 35.37. Which is the second smallest value? (a) 0.1 (b) u (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from aqaqw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17587 and 5633.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 224939135 to the power of 1\/3, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 - q**2 - 2. Let w be (-297)\/(-63) - 2\/(-7). Suppose 4*z = -3 - w. Let h be t(z). Solve 2*o - 2 = -3*n + 6, o = -3*n + h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45543 less than 62?\nAnswer: 45605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 348*u**3 + u - 80 wrt u?\nAnswer: 2088*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-14)\/6*6\/(-42)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g - 90. Let v be a(-15). Solve 0*n - 7*n + 14 = v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10190\/(-40))\/((-7)\/56)?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 5. Let l be v(0). Let q be (l\/10)\/(2\/12). Suppose q*j - j = 4. Solve -1 = -3*y - 3*i + j, 0 = 4*y + 2*i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + 8.6. Let y = 8 - k. Let q be ((-9)\/27)\/((-4)\/18). Put y, 2, q in ascending order.\nAnswer: y, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-153)\/(-5) - (48\/20)\/4. Suppose -v = -5*p + 2*t + t, -31 = -2*p + 5*t. Solve 3*o = -4*x + 2, -5*o + p*x + 11 = 2*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 2*g**2 - g. Suppose -5*w + 3*s = s - 38, -s = -3*w + 23. Let r be 25\/(-15) + (1 - w\/6). Calculate f(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 17, d: 2}. Give prob of sequence dm.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -2)\/(6\/(-13674)). Suppose m + 1140 = 2*m - f, 3*f + v = 2*m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 18 = -3. Let k(l) = -5*l - 1. Let y(o) = 12*o + 3. Let r(x) = -11*x - 3. Let v(t) = -2*r(t) - 3*y(t). What is c*v(n) - 8*k(n)?\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14597*u**2 + 4*u**3 - 14597*u**2.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*w + 28985, -3*w + 13*b - 17*b = -17384. List the prime factors of w.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*p + 976496, -3*n + 233438 + 498917 = -2*p. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - 3) + (26 - 24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2477189425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/10*(-1)\/(-1))\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -328714 - -328801.0185. Let y = s + -87. What is y rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*n - 139 = n, -4*n = 5*d + 189. Let p = 58 + d. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 13 = -x + 7*i, -5*i + 5 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 184298 = 2*y - 231560, 5*j = y + 346567. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 47. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 1.4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 (base 12) in base 4?\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.03\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*f + 7601 + 2420 - 1705 = 0 for f.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 2, s: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 12:31 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 806982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 14. Let c = 3284 - 3274. Suppose -c*o + 13*o = r. Calculate the remainder when 23 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 4. Let r = -17.1 - u. Put r, -4\/7, -1 in increasing order.\nAnswer: -1, -4\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -14 - -12 - (0 - 4). Suppose -2*a + 94 = 2*z, -4*z + 7*a + 188 = r*a. Suppose 55*q = -438 + 1373. Calculate the remainder when z is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146932546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2\/5 + 4\/15*l - 2\/15*l**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.2, -0.5, 0.1, 81, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8297.\nAnswer: 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499409521?\nAnswer: 1499409521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*g + 3. Suppose 4 = p + g. Suppose -p*c = -0 - 16. Solve 0 = 3*n - c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -h + 14. Let l(u) = 0*u**2 - u - 8 + 0 + 4 + u**h. Determine l(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3181, -12739, -28661, -50941, -79573?\n\"Answer: c**3 - 3188*c**2 - c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -2007.\nAnswer: -1\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12096\/840 - 195\/(-75)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-40)\/(-120))\/((-2 - -4)\/306) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.71 * -2\nAnswer: 39.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50141941\/60 + 835672. Let o = j - -67\/20. Calculate the common denominator of o and -111\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5\/3 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8*t = 30. Suppose -10 = -t*s + 2. Let i = -1 + 1. Solve s*f + f + 2*m + 8 = i, 5*m - 26 = 4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.6 + 3. Which is the third smallest value? (a) -0.4 (b) v (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4370 = 291*i - 3634 + 1020 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 6*n - 0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/2 and 53\/750.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**10*n)\/n**22*(n**(1\/3)\/n)**24 assuming n is positive.\nAnswer: n**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, i: 3, o: 1, m: 5, h: 1}. Give prob of picking 1 h and 1 i.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**2\/4 - 9*p\/2 - 70 = 0.\nAnswer: -10, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46948 and 3880.\nAnswer: 469480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxu when three letters picked without replacement from ujkxz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 23542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48202 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 s, and 1 r when four letters picked without replacement from jyrsrrsrrrrjyjs?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.4 + 104.6. Let v = -126.933 - -0.183. Let h = a + v. Round h to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k - 2*k)*(-5 - 5 + 0) + (8*k - 2 + 2)*(1 - 3 + 1).\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -15*(7\/(-12) + (-3)\/(-12)). Suppose -8*u - o*u = -39. Determine c, given that 15 - 34*c - 27*c**2 + 109*c + u = 0.\nAnswer: -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x - 9*x + 3*x)*(-121 + 121 - 2331*x) to a*x + u*x**2 + t and give u.\nAnswer: 6993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 + 5*h**2 + 3*h + 5. Let q(y) = -8*y**3 + 15*y**2 + 9*y + 15. Let t(s) = -11*m(s) + 4*q(s). What is the least common multiple of 44 and t(-3)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(2) + sqrt(21))\/sqrt(3) - (sqrt(280)\/sqrt(5))\/sqrt(8).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*a + 19176 = 89*a - 56*a for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54279.38 - -0.76.\nAnswer: -54278.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15 + (-17 - -11)*2. Let z(p) be the second derivative of 0*p**4 - 1\/2*p**5 + 0*p**2 - p**a + 2*p + 0. What is the second derivative of z(f) wrt f?\nAnswer: -60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370316599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1491459*s - 2451755 wrt s.\nAnswer: -1491459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 171 + -164. Calculate the remainder when 118 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 12*b + 36. Let d be l(-15). What is the smallest value in d, 2\/17, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70283606 is divided by 191.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.12? (a) 4\/7 (b) 11 (c) 4.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -5, 1\/2, -4\/5, 256.\nAnswer: -5, -4\/5, 1\/3, 1\/2, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 24*m + 35. Let c be y(-5). Let v = -62 - c. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10*g = 8. Let d be 63*g - 16\/(-20)*-5. Which is greater: d or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*b*s**3 - 38*b*s**2 + 6*b - 574*s**3 + s**2 - 7063443*s wrt s?\nAnswer: 444*b*s - 76*b - 3444*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 23*(-2 + 3). Let y be ((-6)\/o)\/((-1)\/(-4)). Is 0 - (2 - y)*-37 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 3871. What are the prime factors of n(-210)?\nAnswer: 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(190)*5*5)\/(sqrt(10) - (sqrt(80)\/(sqrt(8) + (sqrt(8)*4 - sqrt(8)) + sqrt(8)) - sqrt(10))).\nAnswer: -4 + 125*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 * 0.1\nAnswer: -0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -200617 times 5?\nAnswer: -1003085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k. Let s be j(-3). Let i be s\/4 - (-45)\/(-30). Factor -27*o**3 + 12*o**2 + 30*o**3 + i + 15*o + 6.\nAnswer: 3*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - d - 40, -w + 2*d - 11 = -2*d. Let u be ((-15)\/70)\/(w\/12). Let z = 2 + -1.7. Which is the closest to u? (a) -3\/7 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxxxbzqqxxq. Give prob of sequence zqxx.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*p = -16, 4 = -3*s + 4*s - 2*p. Suppose w = -2*w + s. Suppose 0*r = 2*r + d - 34, w*d = 16. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21728088 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296666 divided by -31626?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 5*m + 21, -4*t + 23 + 6 = 3*m. Let h = t - 6. Solve 4*a - h = 5*v, -3*v - 15 = 4*a - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.15 + 0.42. Let g = r - 1.87. Which is the second biggest value? (a) 0.3 (b) g (c) -3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*v = -15, v - 4 = t + 3*v. Suppose 0*k - t*k = 18. Let p = -5 - k. Let g(d) = d**3 - 4*d**2 + d - 3. Calculate g(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/2500*335\/2 and 79\/1050.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 3. Let g(n) = -n. What is -3*g(l) + m(l)?\nAnswer: 4*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 2. Let w = 59519 - 59517. Put l, w, -62 in decreasing order.\nAnswer: w, l, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = 2969 - 3156 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*a + 75*a - 3*h - 2 = 0, -a + 3*h = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -265 + 264. What are the prime factors of (1606\/4*8\/(-4))\/o?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1564412?\nAnswer: 2, 391103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*111372.\nAnswer: -44548.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uszkayk. Give prob of sequence ksa.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79531887 is divided by 1699.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607267411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - -44.8. Let v = 4732.3138 + -4777.31. Let p = a + v. Round p to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-798)\/(-21) + 0 + -2. Suppose -6*h + 12*h = n. Suppose -h*m = -2*m - 19600000. What is m rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -8. Let o(f) be the third derivative of f**4\/12 - f**3\/6 + 5*f**2. Determine o(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3512 and 73606252.\nAnswer: 1756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 531735.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**4\/24 + 5*z**3\/6 - 4*z**2. Let m = 0 - 5. Let p be k(m). Solve 5*h + p*h - 4*n = 19, h - 2*n = 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + l**2 + 3*l - 4. Let r(k) = 2*k**3 - k**2 - 3*k + 5. Calculate -3*r(v) - 4*s(v).\nAnswer: -2*v**3 - v**2 - 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-72)*6*-15*(-1)\/35.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32057172 a multiple of 1071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*q**2 + 5 - 5 + 30*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 3, c: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4668353 divided by -274609.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62209 is divided by 242?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17620099897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 1595.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -62, -135, -208, -281?\n\"Answer: -73*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 971200083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -321, -322, -323?\n\"Answer: -d - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, -4, -6 in descending order.\nAnswer: -4, -6, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/9)\/(-6 - (-572)\/99). Which is the second smallest value? (a) z (b) 6 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxygxxxggyygyyyyy. What is prob of picking 1 g and 3 y?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 1. Let l(p) = 4*p**3 - p + 2 - 3 - 30*p**3 + p**2. Does 17 divide l(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*l**3 + 43*l**3 - 30*l**2 + 2 + 32*l**2 in the form x*l**2 + u*l + v*l**3 + s and give v.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2 - (-336)\/720*-30\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 67, 1717, -1, 3.\nAnswer: -5, -1, 3, 67, 1717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -21*v**3 + 702*v**2 - 2175*v + 561. Determine o(30).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 12. Give b(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 307819480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0.1, -4, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.5. Let x = l + 0.2. What is the closest to 1 in -2, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -11, 0, -18\/5 in decreasing order.\nAnswer: 0, -2\/3, -18\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2770 divided by -3?\nAnswer: 2770\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - p = x - 249, x - 5*p = 130. Suppose 20 = -5*s + x. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 54907?\nAnswer: 54918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1)*8\/16. What is the nearest to 2 in 1\/11, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5 + 36*g**4 + 38*g**3 - 36*g**2 - 37*g.\nAnswer: -g*(g - 37)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*f - 3*v, -f - 4*v - 17 = -1. Suppose 0 = 5*i + f*x + 10, -5*i - 8 = -i + 2*x. Let w be (-8)\/(-36) - i\/(-9). Solve 0*c + 2*c + 6 = w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -804*y - 332116 = 1617*y + 1783*y for y.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-4)*11 - (-1)\/4. Suppose -94 = -b*l + 74. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 3248. Let m(o) = -135*o. What is c(m(z))?\nAnswer: 135*z + 3248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 + 30*g + 1 + 2*g**3 to the form o*g + j*g**3 + f + c*g**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 335.8927 rounded to 1 dp?\nAnswer: 335.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1232 and 4466.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -1446*b + 721*b + 724*b - 6, 3*b + 8 = -2*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3444 = -7*n - 2968. Let w = 951 + n. Which is smaller: w or 46?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -537*m**2 - 7*m - 5. Let q(w) = 358*w**2 + 5*w + 4. Give 7*q(o) + 5*t(o).\nAnswer: -179*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4500) + sqrt(4500)*-1 - (sqrt(5445) - -1*sqrt(5445)))\/(((-1*sqrt(441) + sqrt(441))*-3 - sqrt(441)) + sqrt(441) - sqrt(441)))**2.\nAnswer: 2420\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192702 divided by 5.\nAnswer: 192702\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -3. Let d(c) = -24 - 2*c - 19 + 41 - 3*c**2. Let h(l) = l**2 + l + 1. Calculate n*h(m) - 2*d(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.09 (c) -915\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3245\/17 + 191. Let z = 39288.7 + -39289. What is the nearest to z in -2\/3, b, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113202 (base 4) to base 11.\nAnswer: 114a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 8*r**2 + 10*r - 7. Let m be d(6). Let t = -369 - m. What is the units digit of 52\/(-182) + t\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/10 + -1)*25. Suppose o = 3*k - 402, -3*o - 2*o = h. Suppose 713 = -s + k. Round s to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 5*j**2 + 3*j - 3. Let t be r(-4). Suppose 76*h + 2*h - 154 = h. Solve 3*n = -h - t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734 is divided by 82?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -262*c - 7. Let y(o) = -260*o - 7. Let w(t) = 6*q(t) - 5*y(t). What is the tens digit of w(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 185, 263, 331?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 - 220*t**3 - 648*t**2 - 644*t - 214.\nAnswer: -2*(t + 1)**3*(t + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 983 + -982.999998682. What is g rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 5. Let a be n(-5). Let b be 2*1\/2 - (47 - 48). Let l(o) = 7 - b*o**2 + o - 4*o + a*o**2 + o**2. Give l(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2534859 is divided by 310?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779419 is divided by 87.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 11:07 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4025 + 60424\/15. Calculate the common denominator of -91\/120 and g.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/(-14))\/(2\/(-24)). Let o be ((-3)\/(-2))\/(x\/(-12)). Suppose 1529 = o*z - 2*c - 1122, 4*z = 5*c + 3523. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30730*r**6 - 2177*r**5 - 14433*r**2 + 3363*r - 2 wrt r?\nAnswer: -3687600*r**3 - 130620*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 170\/(-2) - 3\/(-3). Suppose -4*n = -2*n - d. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3\/13 - 1028*x**2\/13 + 3138*x\/13 + 18612\/13 = 0.\nAnswer: -517, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**4\/6 - 31*o**3\/3 - 22*o**2\/3 + 31*o\/3 + 13\/2 = 0.\nAnswer: -1, -3\/5, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9 = -1. Suppose b = -t*b. What is the remainder when 28\/((-2 + b)*-1) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i**3 + 6*i**2 + 10*i + 8. Let d be m(-4). Let n = 864 + d. Suppose -3*u = u - n. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 129684079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -590.4 + 502. Let n = -101 - d. Let w = -13 - n. Put w, -2, -3 in descending order.\nAnswer: w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*g + 41*g + 28 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76*(-36)\/120384)\/((-2)\/(-580)) - (-1)\/(-11).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b*((b\/(b\/(b\/(b*b\/(b\/b**(-7))))))\/b)\/b*b*b)*b*b*b\/((b*b**(-1\/5))\/b)*b*b)\/(((b**(1\/9)\/b)\/b*b)\/b**7))**(-50) assuming b is positive.\nAnswer: b**(-3640\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0641 and -26792.2.\nAnswer: -1717.38002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 160754 times -5?\nAnswer: -803770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 266163 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 18 + 4*j**3 + (-3*j + 2*j + 3*j)*(31*j**2 - j**2 + 68*j**2))*(1 - 1 - 2*j) to v*j**4 + q*j + l*j**3 + t*j**2 + u and give v.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38144 - -184266\/5. Let r = 1282 + t. Find the common denominator of -47\/112 and r.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 67*c**2. Let s be i(1). Let q = s - 30. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -10. Let c be (-62)\/(-8) + 6\/24. Suppose -c = m*f + 12. Sort f, -6, -5 in decreasing order.\nAnswer: f, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4*m)*(-10 - 6 - 3).\nAnswer: -76*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 25*i + 59. Suppose -4*f + 117 = 13. Suppose 18 = c - 3*g, f = 3*c - c - 4*g. Calculate the smallest common multiple of y(27) and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, e: 5, g: 3, f: 2}. What is prob of sequence oo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*264\/5720*(-20)\/99?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19529198*c**4 + 7*c - 121667010 wrt c?\nAnswer: 78116792*c**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195\/(-22 + 61) - (48\/(-2))\/(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -432, -1775, -4012, -7143, -11168, -16087, -21900?\nAnswer: -28607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85501?\nAnswer: 13, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 23 = -5*i, 0*v = 3*i + 2*v + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -470, -350, 364, 1672, 3574?\nAnswer: 6070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -11211?\nAnswer: -11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -521, -864, -1247, -1670, -2133?\nAnswer: -2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3072) + (sqrt(3072)*1 - sqrt(3072)) + 0)*3 - (-6*sqrt(21)\/(sqrt(7)*2) + -3)**2*-4.\nAnswer: 144 + 168*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 571 = 4*c - 414, -r + 35 = -2*c for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {o: 1, f: 1, p: 7, c: 2, n: 9}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 817649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 2*v - 91, 8398*x - 8397*x + 23 = -2*v for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + 3 + 4\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.05 + -0.05. Let o(x) = -x + 2. Let v be o(1). What is the second smallest value in p, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 235. Let h(r) = -1643*r. Give h(q(j)).\nAnswer: -1643*j + 386105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/10*(-14)\/(-14)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 240, 880, 2130, 4194, 7276, 11580?\n\"Answer: 34*m**3 - m**2 - m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4545*r + 7285*r - 15288*r)*(2*r - r - 2*r) in the form s*r + c*r**2 + z and give c.\nAnswer: 3458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3419 - 3*t**2 + 3419 - 186*t.\nAnswer: -3*t**2 - 186*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 12. Suppose -9 = -3*h + t. What is the remainder when 1\/(-4) + (-174)\/(-24) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + w)*(-341*w + 225*w - 108*w) + (0*w + 0*w + w)*(-5*w + 3*w + 0*w))*(-w**2 + w**2 - 2*w**3).\nAnswer: 452*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -723 + 729. Let w(z) = -4*z**2 - z - 5. Let q(f) = -5*f**2 - f - 5. Calculate l*q(a) - 7*w(a).\nAnswer: -2*a**2 + a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 91.6. Let r = z + 42.3. Let l = 3.2 - 3. Which is the second smallest value? (a) r (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 131*a**2\/2 - 20. Calculate the remainder when q(1) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1520*f**3 - 8*f**2 + 24*f + 8. Let l(q) = q**3 + q**2 - 3*q - 1. Determine -8*l(o) - x(o).\nAnswer: 1512*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 10:07 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2401*m**2 + 26*m - 118. What is the hundreds digit of d(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j**3 - 8*j**2 + 56*j - 43. Let o(s) = -6*s**3 - 8*s**2 + 71*s - 43. Let b(x) = 5*h(x) - 4*o(x). Give b(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18905536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 496?\nAnswer: 496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12890 is divided by 2565.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 + -83. Suppose -p = 5*y - 50. Determine t so that -2\/5*t**y - 1\/5*t**3 + 1\/5*t + 2\/5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 d, and 1 q when four letters picked without replacement from dtqddtdeqte.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 2*z**2 + 2*z - 30. Let t(m) = -5*m - 3. Calculate 4*j(c) + 3*t(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000144085 to six dps.\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 65 = -4*n. Let g = n - 13. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 109474 + -7?\nAnswer: 109469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 934?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 446141083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 2351259 - 2351259.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*n + 2. Let c(q) = -3*q - n*q + 4*q - 2*q. Let d(l) = 1. Let j(w) = 4*w + 2. Let v(a) = 2*d(a) - j(a). Determine c(v(t)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.52 + -0.08. Let m = f + 2. Let j = -1 + m. What is the third smallest value in 3, 1\/4, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-98)\/14)\/(-7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*(-111)\/(-148)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 338546 and 6032?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/792 and 7\/527868.\nAnswer: 1055736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 218548589 to the power of 1\/3, to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -528, -2096, -4782, -8586?\nAnswer: -13508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100*-16076.\nAnswer: 1607600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(102) + sqrt(102))*-4 + sqrt(102) - (sqrt(102)*-2 - sqrt(102))*-2)\/((sqrt(3402)*-1 + sqrt(3402) + sqrt(3402) + sqrt(3402))\/sqrt(7)).\nAnswer: -13*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**2 + 1542*d + 198147 = 0. What is d?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 253.7131ms?\nAnswer: 253713100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 17*x**2. Let i(o) = -o + 3*o + 10*o**2 - o - o. Calculate f(i(a)).\nAnswer: 1700*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 7180056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 718 = -5*s + 4568. Suppose 5*v - 1441 = -3*c, 0 = 5*c - v - s - 1669. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - a + 11*a)*(-261 + 40 - 55 - 144) to the form i + b*a and give b.\nAnswer: -4620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 s when four letters picked without replacement from {d: 18, s: 2}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -72, -129, -186?\n\"Answer: -57*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 2*a - 15. Let i = a + -26. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 477\/340 or 0?\nAnswer: 477\/340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -120*w + 1092. Let o be p(9). What is the smallest value in 3, -4\/7, 5, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 0 - 12*s**2 - 1\/3*s**4 - 11\/6*s**3 + 0*s. What is the first derivative of c(q) wrt q?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -53, -40, -7, 52?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69644536 and 4?\nAnswer: 69644536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3\/(s\/((s*s**(-1\/5))\/s))*(((s\/(s\/(s*s**(1\/2)\/s)))\/s*s)\/s)\/(s*s**(-5)))**8 assuming s is positive.\nAnswer: s**(212\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 + u + 1. Let z(r) = 39*r**2 + 6*r + 17. Calculate -6*n(c) + z(c).\nAnswer: 21*c**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1002?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 718 - 391. Calculate the least common multiple of z and 21.\nAnswer: 2289","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 12*(24\/4 + -3). Let x = i - -42. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 14, 1, -3\/7, -4, -5\/8?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 23547192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-846\nAnswer: -33.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4780*s - 4398*s + 9550 = 0 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + h = 7, 0 = 9*y - 4*y + 2*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -20578.3 * 0.3\nAnswer: -6173.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 418 divided by -2.\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 475291397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3840296 and 11368?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/203?\nAnswer: 6\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-5)*n*(n\/(n**1\/n))\/n*n*(n**1\/n)**(-44)*((n**(-1\/4))**(4\/7))**(-23\/3) assuming n is positive.\nAnswer: n**(-19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.031 - -0.056. Let l = q - -0.075. Do -14\/3 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-738)\/63*1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74746 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5305?\nAnswer: 5, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 9*m**2 + 22*m + 15. What is z(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -139 (base 11) to base 6\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 - 90.41. Let h = 0.336364 - -0.073664. Let l = h + o. What is l rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35802 and 11050.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 907 = -187. Let s be (1\/(-2))\/((-1)\/j). What is the highest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780\/36 + 1\/3 is divided by (-2)\/2*(-13 + 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 135009314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 52476, 52475, 52474, 52473?\n\"Answer: -v + 52477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 33 - (52 + -26)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/7 - -15\/28. What is the closest to a in 3, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 207*p - 12000. Give j(58).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 9*h + 3. Let v be j(-3). Let k = 101 - v. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 4*l + 20, 24*l - 19*l + 25 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 4446596?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20\/29 (b) 0.2 (c) -2\/5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. What is the tens digit of 2\/k + 147\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 31, 2\/15, 0.03, 1\/6, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10}. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*j = -4 - 5, -2*z + 2*j + 8 = 0. Suppose -z*s - 64 + 169 = 0. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-44682)\/(-2) - (-6 + (19 - 7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**7\/2100 - y**6\/450 - y**5\/300 - y**3\/6 + y. Let h(z) be the second derivative of c(z). Solve h(o) = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (39 - (-21 + 62))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 145*s**3 + 1065 + 76*s**3 + 71*s**3.\nAnswer: 2*s**3 + 1121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 284 and 54?\nAnswer: 7668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.9 from 0.359.\nAnswer: -2.541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y = -28*y. Suppose -4*c + 19 = -17. Suppose y = -4*u + 57 - c. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j + 14. What is x(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35065.33l to millilitres.\nAnswer: 35065330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 329, 1351, 4077, 9359, 18049, 30999, 49061?\n\"Answer: 142*c**3 + 28*c + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14)*2\/(-4))\/(5784\/30366).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 16*s = 3*s - 627. What is the greatest common factor of s and 22671?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532*x - 378*x + 612*x = -20264 for x.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2. Let c(f) = -5*f**2 + 41. Calculate p(c(v)).\nAnswer: 25*v**4 - 410*v**2 + 1681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 17 + 27. Which is smaller: p or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/5 (b) -0.1 (c) 1\/6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 277 + -83. What are the prime factors of m?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - n + 1. Let t = 3132 + -3128. Let u(c) be the first derivative of 3 + 3\/2*c**2 - t*c + 1\/3*c**3. Determine -u(l) - 3*x(l).\nAnswer: 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -19*w**3\/6 - w**2\/2 - w. Let h(l) = -56*l - 4. Let k(q) = -17*a(q) + 6*h(q). Is k(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 44*u - 346. What is the remainder when 356 is divided by m(-51)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 654654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-10 - (5 + 0))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53167 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13124, 12627, 12172, 11759?\nAnswer: 11388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**3 - 2*n**2 - 15*n - 2. Let u(m) = 15*m**3 - 9*m**2 - 60*m - 9. Let h(c) = -2*u(c) + 9*v(c). What is the second derivative of h(a) wrt a?\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*u = 104*u - 215. Let x(w) = -3 - 6*w + 3 + w**2 - 3. What is x(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-64)\/(-126) - (-2)\/(-7). Let q be 3036\/(-2352) - 6\/(-8). Let p = -2\/49 - q. Which is the third smallest value? (a) p (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a factor of 722304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - s. Let y(r) = 26*r**2 + 6*r + 2. Calculate -5*v(o) - y(o).\nAnswer: -21*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k + 4*k + 6*k + 2*k + k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = a + 4*n, 118*a - 114*a - 4*n = 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2\/4 - 678682*j + 460609257124 = 0.\nAnswer: 1357364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1748 by -6.\nAnswer: -874\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2407?\nAnswer: 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 225\/30*(-8)\/10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 times -3?\nAnswer: -2130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44243 less than 1?\nAnswer: -44242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, d: 6, k: 1}. Give prob of sequence iidd.\nAnswer: 45\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 4 + 46*x**3 + 28*x**3 + 5.\nAnswer: 74*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 2:12 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4043, 4029, 4013, 3995, 3975?\nAnswer: 3953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 3821500 = -25*z. What is z rounded to the nearest ten thousand?\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 i when three letters picked without replacement from idmdmmdd?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 g, 1 u, and 1 o when four letters picked without replacement from loegguo?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 8 = -3. Let n(h) = 3*h**2 + h. Let s be n(c). Suppose -4*o + 26 = -s*k - 22, -2*o + k + 19 = 0. Solve -2*f + j + o = -f, 0 = 3*f + 5*j + 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 66 (c) 5986\/11 (d) 1 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 47*n - 2141. Give c(46).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4057*a - 3824*a - 1405*a - 1229*a.\nAnswer: -10515*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3534 + 3631. Sort 3, -3, z in descending order.\nAnswer: z, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -170*q + 172*q + 2 - 2. Let l(i) = i. Let f(b) = 2*b. Let p(g) = 3*f(g) - 8*l(g). Determine p(t(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68650?\nAnswer: 2, 5, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Suppose 0 = g*d - 5*t - 61, -3*t = d - 0*t + 6. Let r = d - 0. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*l = -357*l + 167*l + 132 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 550106799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-7))\/(5\/770*22).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -449 + 315. Let x = -134.1028 - y. Let u = -0.1 - x. Round u to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-1 + 3 + 1)*(-4*y - 5 + 5) + (-3 + 5 - 1)*(-y - 4*y + 3*y) - y + 2*y - 3*y - 4 - y + 4 + 4*y - 5*y - 4*y.\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 2*k**2 + 3*k + 1. Let o(g) = 13*g + 21. Let l be o(3). Let n be l\/24*32\/10. Let w be (6\/n)\/(1\/(12\/3)). Give y(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-8 + -1 + 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/44 - (7\/2)\/(-1). Suppose -517 = -s*g + 2*d - 0*d, 2*d - 497 = -3*g. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d - 5*i - 1, 0 = 5*i. Let y be (-3)\/(2*d\/12). Suppose 0 = -y*u + 16*u + 16. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732*t - 76 = 27008 for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 17*o + 1. Let k(d) = -d - 5. Let w be k(-9). Suppose 3*v + w*f + 7 = 0, -3 = 4*v - 2*f - 1. Determine n(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 + -1120202?\nAnswer: -1112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 126*i**2 - 218*i + 711. What is the units digit of l(121)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166444 (base 8) in base 3?\nAnswer: -10002021110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88 - -90. Suppose 0 = z*i - 8, -2*v + 4*i = -10 - 76. Is v greater than 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*l - 2315 = 0, 4*r - 6*r - 957 = 5*l. Is r not equal to -465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + -3*-2*sqrt(152))\/(sqrt(968) - (-2*sqrt(968) + sqrt(968))).\nAnswer: 7*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52210 is divided by 7457.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41340 (base 5) in base 7?\nAnswer: 10634","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 + 66*i**2 + 4*i - 68*i**2 to m + g*i**2 + a*i and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*y + 2*y + 3 = 0, 4*c = 2*y + 10. Suppose 2*i = -2*i + 8. Suppose -i*h + 57 = 3*x + c*x, -x + 9 = -2*h. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - ((-1 - 10) + -1)) + 6\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + 2.8. Let v = -0.8 - 0.2. Which is the second smallest value? (a) z (b) 1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 232, -33, -3 in descending order.\nAnswer: 232, -3, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 16*l**2 + 16*l + 18. Suppose 3*o = 3*n + 45, 2*n + 3*o + o = -30. Let i be s(n). Which is smaller: i or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5205 by -1041.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 7*s**2 - 4*s**2 - 2*s.\nAnswer: -2*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1671 = -4*z, 4*l = 19*z - 20*z + 426. What is the remainder when z is divided by 48?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*n + 10701 + 3835. What is the smallest common multiple of n and 1?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 893973*h**2 + 10727677*h + 15. Determine j(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 54, 126, 254, 456, 750?\nAnswer: 1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10443086 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01111426 rounded to five decimal places?\nAnswer: 0.01111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**5\/30 - m**4\/24 + m**3\/6 - 266*m**2. Let k(h) = -3*h + 4*h - 3 + 2*h + 4*h**2. Give -5*d(g) - 2*k(g).\nAnswer: 2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 8) to base 11.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 27*j + 173. Let h be y(-10). Which is the smallest value? (a) -1\/15 (b) 2\/9 (c) h (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 679489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5229.366325 and 0.1.\nAnswer: -5229.266325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*k + 12*k = -65392. What is the remainder when k is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -7. Let q = 1\/13044 + 765245\/39132. Let r = -172\/9 + q. Sort h, r, 0.4 in ascending order.\nAnswer: h, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1018198 is divided by 3611.\nAnswer: 3507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 84*q - 463 - 116. Solve 2*p = -t, q*t = 2*p + 4*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102711574.\nAnswer: 2, 7, 1873, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.067 - 0.367. Let q = -3.7 - -4. Sort q, 2\/7, p in decreasing order.\nAnswer: q, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13137 and 291581?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -343\/4 in -8, 0, -4, 6, 2\/71?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a - 33 - 11 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j + 4850 = -1926. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40722262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 2\/7, -4, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3223, 3193, 3163?\nAnswer: 3133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(104)\/(sqrt(56)\/sqrt(7)) + (sqrt(13) - sqrt(832))**2*-1) + (-2*(-2*sqrt(65) + sqrt(65)))\/(sqrt(45)*-4).\nAnswer: -31*sqrt(13)\/6 + 3185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -22786\/17797 > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3 + 7\/3*d**2 + 14\/3*d + 1\/3*d**3.\nAnswer: (d + 1)*(d + 2)*(d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 32377302?\nAnswer: 32377298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 4*o = -10*y - 18, o = -4*y - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = z. Suppose -z*v - 3*r + 339 = 0, 6*r - 4*r = v - 98. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.697 + 0.75. Let i = q - -3.247. Let k = i - 3.3000065. Round k to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Suppose -45 = -4*f + 11. What is the lowest common multiple of f and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -390, -777, -1164, -1551, -1938?\nAnswer: -2325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 625104387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -117*v. Let b(k) = 2147*k + 2. Determine b(o(q)).\nAnswer: -251199*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/6*(-3)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 6, -17, 4, 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**2))**(-19)*o**(-2\/7)*o*o\/(o\/(o**3\/o*o)))**(-44) assuming o is positive.\nAnswer: o**(-12848\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 + 3*k**2 - 2*k + 1. Let j be -6 - -4 - 107*-1*2. Suppose 15 = -j*n + 217*n. Determine s(n).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(2) - (sqrt(2) + sqrt(2) + -5 + sqrt(2) + sqrt(6)\/sqrt(3)))**2*-3 - 2*(-5 + -1 + sqrt(2)*2).\nAnswer: -252 + 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027*-0.1453.\nAnswer: 0.0039231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/17)*v*v**(-3\/8)\/v)**(-30) assuming v is positive.\nAnswer: v**(-1035\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 140.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1035, -2671, -4307, -5943?\n\"Answer: -1636*l + 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j**2. Let p(y) = -2*y**2 + 2*y. Give p(k(g)).\nAnswer: -128*g**4 + 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {b: 2, a: 5, r: 4, v: 5, x: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13576\/19 - -13794565\/19304. What is the common denominator of 35\/8 and k?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4106?\nAnswer: 2, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -40*i. Let b(d) = -8*d. Calculate 11*b(f) - 2*g(f).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3432 = 3*a + 1674. Let z = -6763\/4 - a. Find the common denominator of 7\/22 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times 16.224504?\nAnswer: -389.388096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1659 = -266*h - 3661 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.326 rounded to 1 decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 18*k**2 - 1265*k - 75. Calculate the smallest common multiple of u(71) and 16.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 47432, -48 in decreasing order.\nAnswer: 47432, 0, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 805\/217 + 1\/(3\/(-9)). Let v be 229\/682 - 1 - 1. Let n = v + q. Find the common denominator of n and -71\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -13*p**2. Let d(b) = 11*b + 4 + 0 + b - 4. Give d(r(z)).\nAnswer: -156*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -656 - 568. Suppose 26*j = 30*j - u. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 + 36*c**2 - 4*c - 9. Let r be h(-18). Let k(i) = i**3 + 6*i**2 - i - 4. Let p be k(-4). Let g = r - p. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p + 1 = 5*r - 101, 11*r - 14*r + 9 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 30. Let t(n) = 6*n + 7. Let i(s) be the second derivative of -5*s**3\/6 - 3*s**2 - 80*s. Let b(h) = -7*i(h) - 6*t(h). Give b(y(r)).\nAnswer: 2*r**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -39. Suppose 15*a = q*a - 260. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.04 + 0.04. Let n(u) = -13*u + 9. Let k be n(-1). Suppose k = -0*o + 4*o - 2*x, 4*o - x = 17. Put z, -2, o in descending order.\nAnswer: o, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1097 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 579298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 4*a + 42 + 6, -5*a - 90 = 5*i. Let z be 6\/i + (-22)\/(-5). Suppose -z*s + 145 = s. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o**3 - o**2 + 12*o + 14. What are the prime factors of t(-3)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7678625, 30714505, 69107639, 122858027, 191965669, 276430565, 376252715?\nAnswer: 491432119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from fafw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8, 4, -12, -46, -104?\n\"Answer: -y**3 + 3*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10212211 + 20011?\nAnswer: 11002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.069835 - 0.07. What is k rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18082466*k**3 - 6972975*k?\nAnswer: 108494796*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 1\/9*p**4 - 2\/9*p**3 - 4\/9*p**2 + 8\/9*p - 222 + 2\/45*p**5. Solve s(f) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d - 21 + 23*d - 9*d + 10. Let h(x) be the third derivative of 5*x**4\/8 - 7*x**3\/2 + x**2. Let s(v) = -6*h(v) + 11*u(v). Differentiate s(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -177\/95, 120, -4?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -187 + 946\/5. Let u = 3.995 - -0.005. What is the fourth biggest value in u, s, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 2:28 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t**2 - t + 1. Let m be i(1). Let a be 8\/28 - 52\/(-14). Let l be 11 + a*3\/(-6). Calculate the highest common factor of m and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 650 (b) -0.1 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2475 divided by 3.\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(2\/5)\/h*h)\/h)\/h)\/h**(2\/11)*(((h**(2\/9)*h*h*h)\/h)\/h)**(-5))**(2\/107) assuming h is positive.\nAnswer: h**(-7814\/52965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55.3 + 53. Round t to one decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/10)*x**(6\/13)*x assuming x is positive.\nAnswer: x**(177\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.97 and 925460.\nAnswer: 5524996.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5108 = 5*g, 3*g + 3*k - 4295 = -1211. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*s - 33, 5*q - 14*s + 18*s = 9. Let x = 5 - 5.04. Let m = -0.46 + x. Which is the second biggest value? (a) -2\/3 (b) m (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 319450 divided by -1068\nAnswer: -159725\/534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 4. Let m be n(0). Suppose 0*k + m*d = -k + 14, 3*k + 4*d - 42 = 0. Suppose 2*u = 2*s + 8, -2 = u + 3*s - k. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 1\/7, 3.72, 1, 0 in ascending order.\nAnswer: -25, 0, 1\/7, 1, 3.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -147, -216, -283, -348, -411?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**3 + 9*n**2 - 6*n - 1. Let a(f) = -4*f**3 + 9*f**2 - 5*f - 1. What is 6*a(z) - 5*v(z)?\nAnswer: z**3 + 9*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2288\/2635 or 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 157*r + 432. What is f(-3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4705 + 4791. Calculate the remainder when 9630 is divided by r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 0 (c) 74 (d) 4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-174) - (-1020)\/348. Solve -3*m + 3 = 0, 7*m - x = -2*l + 8*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9 = 3*q, 5*g - g + 8 = -5*q. Suppose 0 = b - 4, g*b = 5*f - 4 - 4. Find the third derivative of -10*u**4 - u**2 - 11*u**f + 22*u**4 wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 3*n + 3. Let c be w(3). Suppose 58 - 10 = -c*l. Is 282\/8 + 4\/l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 547*q**2 + 70. Let y(g) = 119793*g**2 + 15316. What is -5*y(u) + 1094*z(u)?\nAnswer: -547*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1235 + -716. Is q + (-1 - (-6)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/((r*r\/(r\/((r*r**(-2\/13))\/r)))\/r))\/r**(-2)*(((r*r**(1\/2)*r)\/r)\/r)\/((r*r**(-5\/2)\/r*r)\/r*r) assuming r is positive.\nAnswer: r**(93\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - -5*(2 + sqrt(72))) + 1 + -2 + (-3*(1 + sqrt(72)))**2 + -2.\nAnswer: 144*sqrt(2) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 209081051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 8\/(-12) - ((-220)\/6)\/1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060737005.\nAnswer: 5, 212147401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9019 - 18174 = -15*a + 25907. Calculate the greatest common factor of a and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 15*n + 195645. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 7*n**2 + 31*n + 184. Determine v(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 71*q**2 - 3*q. Let a(v) = 32*v. Determine a(c(x)).\nAnswer: 2272*x**2 - 96*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68094510?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 72 + (21 - 7 - 31)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, -3\/14, -4, -15, -2 in descending order.\nAnswer: 10, -3\/14, -1, -2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/228 and 101\/14.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 4:59 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, c: 3}. What is prob of sequence ctc?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - u**2 + u + 11. Let b be r(0). Let v = b - 15. Let y = 0 - v. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 - 14*y**2 + 18*y - 31. Is v(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212348?\nAnswer: 2, 53087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 4 = -16*a + 2*j, 11*a - 21 = -j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2797052 to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 531639?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -119991, -237738, -355485, -473232, -590979?\n\"Answer: -117747*x - 2244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k + 3*k - 8*k + 0*k. Let w(p) = -20*p. Let f(o) = -o. Let v(d) = 16*f(d) - w(d). Calculate n(v(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8943 (base 11) in base 8?\nAnswer: -27010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + -2*sqrt(405)).\nAnswer: -72*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23888\/5 + -4778. Put w, 1\/91, -8 in decreasing order.\nAnswer: 1\/91, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 765, 769, 785, 819, 877, 965, 1089, 1255?\nAnswer: 1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**6\/120 + w**5\/6 + 3*w**4\/4 + 3*w**3 + 18*w**2 - 3*w. Let z be t(-8). Calculate the highest common divisor of z and 100.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20299520, 20299528, 20299538, 20299550?\n\"Answer: d**2 + 5*d + 20299514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 318201712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -3 (c) -0.1 (d) 4 (e) 157\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -1208, -4\/13, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 7:49 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 1 - -5 - -5 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 71*t**4\/24 + 634*t**2. Let l(d) = -3*d. Calculate s(l(k)).\nAnswer: -213*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235 and 30080.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46.5 + 49. What is g rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i - 23*i = 2*s - 6, -4*s + 12 = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -860*g + 1719*g + 4 - 854*g + 10. What is d(10)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -399\/1105 + -2\/85. Let c = p + 2\/39. Let y be (-9)\/15*(-1)\/3. What is the biggest value in c, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1032 by -1.\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7116648391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 507 - 187 = 0. What is the greatest common divisor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5046 - 4608. What is the third smallest value in 2\/5, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, e: 5}. Give prob of picking 1 g and 1 e.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 2:13 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-1 + 1 - 2*m) - 4174 - 103*m + 4174 + (3 - 2 + 0)*(3*m + 3*m - 4*m).\nAnswer: -103*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1252189*w**2 - 19688186?\nAnswer: -2504378*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -961 - 4094 = -3*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*z**2 + 3*z**2 + 0*z**2)*(-z**2 - z**2 + 0*z**2) + 0*z**2 + 2*z**4 + 0*z**2 + 2 + 2*z**4 - 2 + 8*z**4 - 5*z**4 + z**4)*(2*z - 3 + 3).\nAnswer: 24*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -290, -583, -866, -1133, -1378, -1595, -1778, -1921?\n\"Answer: a**3 - a**2 - 297*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4*8\/3. Solve -2*l = a*u + 4, -5*u = -4*l + 6 - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3877, -4263, -1161, 5429?\n\"Answer: 1744*r**2 - 5618*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7142100 divided by 716.\nAnswer: -9975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 5*d + d. Suppose 8 + 3 = c. Calculate the remainder when d is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(3*1\/2). Suppose 8 = -8*s + 12*s. Suppose s*t = -3*k + 27, -5*t + 3*k + 50 = 7*k. Solve -4*r - 2*a - t = -20, 0 = -z*a + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6237, 6227, 6207, 6177, 6137, 6087?\n\"Answer: -5*a**2 + 5*a + 6237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16\/3 + 8\/3*k - 10\/3*k**3 - 2\/3*k**4 - 4*k**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 32 = 2*j, -3*j = -3*h - 17 + 101. Calculate the greatest common divisor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -101111?\nAnswer: -110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -1.4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 94825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/161 + -487\/644. Let g be 28\/(-10) - 20\/(-25). What is the closest to 4 in c, 2\/5, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13943 + 12 + -5 + 4.\nAnswer: 2, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7618)\/(-102)*(-9 - -6). Let y = -224 - z. Are 0 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(2 + 1 - 1)*(-4 - 3 - 3)*(3*w**4 + w**2 - w**2).\nAnswer: -120*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-12)*(-2938)\/(-565))\/(1\/(-2))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**6\/30 + 7*l**5\/15 - 11*l**4\/6 + 10*l**3\/3 + 20*l**2 + 10. Let d(i) = 0. Calculate i.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 a when four letters picked without replacement from alslsalsasaamaxam?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -257511, -515023, -772535, -1030047?\n\"Answer: -257512*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u**5\/5 - 1586*u**4 + 56878*u**3\/5 + 218034*u**2\/5 + 233804*u\/5 + 16112 = 0. What is u?\nAnswer: -4028\/9, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -5*o**6\/24 + o**5\/6 + 25*o**4\/24 - 5*o**3\/3 + 12*o**2. Factor j(s).\nAnswer: -5*(s - 1)*(s + 1)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -745 at least as big as -666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5. Suppose 0 = -m*k + 3*k. Let h(o) = -o + 2*o + k*o. Let v(d) = d. Give v(h(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235660 to the power of 1\/2, to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**3 + r**2. Suppose 4*f = k - 17, -3*k - k = -2*f - 12. Let l be i(k). Suppose -3*d + 1122 = 3*g, l*d - 386 = -g - 0*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 113915 and 113916 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-11))\/((-58)\/58)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203 (base 7) to base 8.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*h + 3*h**3 - 9*h**3 - 31*h - h**4 as l*h**2 + i*h + q*h**3 + v + d*h**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - -9) + 17 - (-55 + -3 - -14)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126387 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 d when four letters picked without replacement from aedywdwao.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 408 = 4*x, 1202*g - 2*x = 1197*g + 507. Which is smaller: g or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 42618240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 12*z**2 - z - 11. Let f be v(-12). Let t be (0 - -1 - -3) + f. Put -3, t, 4 in decreasing order.\nAnswer: t, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 6025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13764555 - 13*b**2 - 43*b + 13764555 to a + c*b**2 + k*b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 + -79. Suppose -3*v + c = 2*b, -6 = -v - 5*b + 8. Solve 5*i - 4*m - 40 = 0, 2*i + v*m + 24 = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1074372408044 and -117.\nAnswer: -117.1074372408044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 9*o + 12. Let f be u(10). Solve f = -5*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + 3*g**3 + 0*g**3)*(-21 + 23 - 9).\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 3:13 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21611 is divided by 193.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -227\/6 + 38. Let i = -234 - -234.2. What is the closest to i in -2, o, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**5\/20 - r**4\/16 - 10. Find n, given that t(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 3651422 = -2*b, 2*j - 21*b + 18*b - 912845 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 185332310 to the power of 1\/2, to the nearest integer?\nAnswer: 13614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6742000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4167 is divided by 2073.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b - 7*b + 3*b + 127.\nAnswer: 4*b + 127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + i = 20, 5*m + 0*i + 5*i = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1045, 1052, 1071, 1108, 1169, 1260?\n\"Answer: z**3 + 1044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**4 - 71739318*x**3 - 86158*x**2 - 699*x.\nAnswer: -24*x - 430435908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8750 is divided by 4347.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 67*c**2 - 12 - 3*c + 8*c - 66*c**2. Let j be s(-7). Suppose b + 4*r - 98 = 0, 5*b - j*r - 238 = 2*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -653 or -3?\nAnswer: -653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -308*u**2 + 0 + 1\/4*u**5 - 11\/3*u**3 - 17\/24*u**4 + 1\/120*u**6 + 0*u. Give a(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8 + 2 = 0. Let y = -70230 + 70324. Calculate the remainder when y is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 - 3*f**3 - f**3)*(-32 + 4 + 0)*(-4*f + 2*f + 3*f).\nAnswer: 196*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/5 - 176*m**4\/15 + 104*m**3\/3 + 4*m**2\/3 - 526*m\/15 + 52\/5 = 0. What is m?\nAnswer: -1, 1\/3, 1, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2. Let w(z) be the third derivative of 0*z**3 + 0 - 3\/2*z**4 + 83*z**2 + 0*z. Determine w(l(n)).\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288.2777 tonnes to nanograms.\nAnswer: 288277700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) + 69\/46. Solve 0 = -0*l - b*l + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + -4.96. Let c be -3*87\/(-225) + -1. Let n = c + 17\/50. What is the closest to 0 in n, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - -2 - -3 - 3 - 18.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 339 + 316 = -5*k, -k = 4*o - 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = -3*q. Suppose 2 = 2*w - 6. Suppose -2*t = -5*j - 0*t + 33, 4*t = w*j - 36. Solve 0 = -5*c + 3*c - 5*n - 1, j*n = q*c + 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 46, 73, 102, 133, 166?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(156))\/sqrt(3)*1.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/(-4))\/(-23 - -20) + 5228\/16. Sort l, -6, 2 in descending order.\nAnswer: l, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d. Let j(f) = 2*f + 3. Let i(c) = 2 + 5*c - 2*c + 2. Suppose -o = 4 - 1. Let r(s) = o*i(s) + 4*j(s). Calculate r(t(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -9235619.8.\nAnswer: 9235619.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 2, -1, -4\/3, -1\/2 in descending order.\nAnswer: 2, -2\/21, -1\/2, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24\/337, 3.48, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, s: 3}. What is prob of sequence jsjs?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -671*q**2 + 848*q - 3. Let x(w) = -670*w**2 + 845*w - 4. Let f(h) = 4*s(h) - 3*x(h). What is the second derivative of f(m) wrt m?\nAnswer: -1348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g - 6. Let u be y(-2). Suppose 100 - 326 = 4*z + 2*x, -u*z - 116 = 4*x. Let p = z + 58. Solve 0 = p*q + j - 13, 3*j + 0*j - 14 = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69.26541 * -8.\nAnswer: 554.12328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*u + 6*u - 17*u)*(-1 - 4 + 3 - 4 + 3 + 4 - 1 - 1 + 4 - 3 + 0 + 5 + (1 - 2 + 2)*(-1 + 4 - 5) + 3 + 0 - 1 - 1 + 3 - 3).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -859*b**2*x**3 - 6*b*x**3 + 16*b*x wrt b?\nAnswer: -1718*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**2 + 7*m**3 - 5*m**2 - m**3 + 0*m**2 + 0*m**2 + (1 + 1 + 0)*(m - 2*m**3 - m) + (-m - 4*m**2 + m)*(-m - 6*m + 3*m) + 5*m**3 - m**3 - 3*m**3.\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-894)\/(-10) + (-45)\/(-75). Suppose -4*i + 6*i - y = 0. What are the prime factors of (i\/(-10))\/(2\/(-20))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgy when three letters picked without replacement from tntyggggmmt.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -426*v - 107. Let q be c(9). Let p = 6352 + q. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.21393 - 0.61393. Which is the closest to -1? (a) -509 (b) x (c) -2\/13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9*f**2 - 3*f. Let z(y) = 17*y**2 + 6*y - 1. Let w(d) = -9*b(d) - 4*z(d). What is the remainder when w(3) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 25*p**2 - 2*p + 2. Let j be y(2). Let v = -53 - -2. Let z = j + v. Round z to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 110, 2, -1, 71 in ascending order.\nAnswer: -1, 2, 5, 71, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 23*k = -20*k - 371265, 2*u - 148487 = -5*k. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30726, -30668, -30560, -30378, -30098, -29696, -29148?\nAnswer: -28430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 586149947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/537264 and 35\/576.\nAnswer: 2149056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19274, 153953, 519524, 1231433, 2405126, 4156049, 6599648, 9851369?\n\"Answer: 19241*g**3 - 8*g + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = 106 - 34. Let o(g) = -g**3 - 7*g**2 - 6*g + 3. Let m be o(s). Let t = m + -54. What are the prime factors of t?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 181*o - 503152 = 0. Is 64 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tstcsteehst. Give prob of sequence sssc.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggeggegg. What is prob of sequence ege?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 12:54 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 + 0 - (5116 - 5164)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6984293, -6984306, -6984319?\nAnswer: -6984332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14415324 to the nearest integer?\nAnswer: 3797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -917869\/96 + 9562. Find the common denominator of v and -57\/20.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2118396 is divided by 100.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 423444 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -q - 3. Let p = q + 14. Suppose 3*y - y + p*m - 4 = 0, 2*m - 2 = 0. Solve 3*k - 16 = a, y*a = 2*a + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v + 8. What is the units digit of ((-10)\/v)\/5*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*v - 3*r - 2*r, -4*r + 6 = v. Let w be (6 - 0) + v - (-4)\/2. Let q(s) = 5*s - 36. What are the prime factors of q(w)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 0*a = -a + 135, -23 - 202 = 4*s + 5*a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: 1110001100110000110 (base 2) to base 15\nAnswer: 92ce1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 358*r*u*v**2 + r*u - 2*r*v**2 + u*v - 26*v**2 + 5*v with respect to r.\nAnswer: 358*u*v**2 + u - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*t**6 + 112*t**2 wrt t?\nAnswer: 4080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 298 - 298. Suppose -3*x - 28 = -u - i*u, u - 40 = -3*x. What is the remainder when u is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 7*z = 5*r - 4335, 4*r = 5*z + 3525. Calculate the greatest common divisor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7129800 and 13980.\nAnswer: 7129800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 o, and 1 z when three letters picked without replacement from {o: 9, t: 1, z: 2, b: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l + 41 - 41 - 55*l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 4*s = -8, -2*s - s = -2*j - 17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = -21137*v + 21120*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*h**3 + 391*h**3 - 25*h**3 - 8*h.\nAnswer: 335*h**3 - 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from frfffrfff?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 6:45 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u**(-1\/4)\/u*u*u)*u)**30\/(u**(2\/5)*u\/(u\/((u*u\/u**(-2\/3))\/u))))**10 assuming u is positive.\nAnswer: u**(1063\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 8. Let d = -1 - n. Let q = -4 + d. Which is smaller: 1\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -227*n + 337*n + 2200 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -202645 divided by -1896?\nAnswer: 202645\/1896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4560*a - 9 + 6*a**2 - 5*a**2 - 4533*a + 3*a**2. Let s be q(9). What is the highest common divisor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, c: 9}. Give prob of picking 2 y and 2 c.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 1)*(-6*d - 3*d + 2*d)*(-1 + 5 - 1) + (d - 3*d + d)*(3 - 2 + 0).\nAnswer: 104*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 - 32 + 34 - 3*n**2 + n**2 + 409*n - 407*n as t*n**2 + o*n + g and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 308 - 305. Solve 3*p - 4*a = -n*a + 18, -3*a = 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 85 - 5. Suppose -8 = -4*v, -p - 17*v + 27 = -15*v. Is i bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0127 * -20\nAnswer: 0.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -188*i - 2357. What is j(-13)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17155 and 235.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 22*d - 39. Let l be b(-24). Find the third derivative of 3021 + h**6 + l*h**2 - 3021 - 4*h - 64*h**4 - h**2 wrt h.\nAnswer: 120*h**3 - 1536*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130705333989 take away 0.3?\nAnswer: -130705333989.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 67*q**3 + 340*q**2 + q + 2. Let b(n) = 33*n**3 + 136*n**2 + n + 1. Let v(g) = 5*b(g) - 2*l(g). Let o(j) = -j - 1. Calculate o(c) + v(c).\nAnswer: 31*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -311\/1337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 972. Let p(s) = -327. Calculate -4*d(h) - 14*p(h).\nAnswer: -4*h + 690","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9*a**2 + 5*a. Suppose 14*p + 25 = 19*p. Let v(r) = 22*r**2 - 12*r. Let f(t) = p*v(t) + 12*d(t). Let h(w) = -4*w. Determine h(f(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -16. Find the third derivative of 2*x**4 + x**2 - 4*x**2 - 3*x**j wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 887856372 and 24336.\nAnswer: 6084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4136992 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.317 times -0.1?\nAnswer: 0.0317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stastdssddaasts. Give prob of sequence ts.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - m = 3*n - 1, -3 = -4*n - 3*m. Let j = 23777 + -23772. Solve n = j*w - 2*d + 20, 5*d + 0 = 5*w + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*y - 1, 6 = 3*s - 4*y + 13. Suppose -s*w - i = -5*w + 45, -w = i - 24. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374492846.\nAnswer: 2, 7, 13, 83, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 362247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*a + 1\/2*a**3 + 1\/2*a**2 - 1\/2.\nAnswer: (a - 1)*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m - 30*m = 97 + 80 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/3, 4, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4 + r**3 - 21*r**2 - 9*r + 108 = 0 for r.\nAnswer: -4, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 7*d + 1. Let g be a(5). Suppose -119 = -5*t + 46. Suppose t = 2*h - g. Calculate the remainder when h is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*p - 14429363 + 5440425 = -212*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 5:30 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -256 - -256.00000121. Round r to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -3*r**5\/20 + r**4\/12 - r**2\/2 - 12*r. Suppose 0 = 5*q + 4 + 1. Give j(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7362.9 - -7363. What is the biggest value in -131, 2, c, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 647276 (base 9) to base 13.\nAnswer: 106836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -6*m + 11*m. Let x be (m + -5)\/((-2)\/332). Find the common denominator of 97\/16 and (x*9\/(-60))\/(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -721943, -721945, -721947, -721949?\n\"Answer: -2*h - 721941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1310 - 1310.5. Sort -7, 7, s, -1.\nAnswer: -7, -1, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*u + 21, 4*z + 3*u - u = -22. What is the remainder when (-8)\/z - (-6)\/15 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 602281\/120 - 5019. Let v(j) be the second derivative of 0 + 1\/36*j**3 - i*j**5 - 1\/72*j**4 + 2*j + 1\/12*j**2. Factor v(w).\nAnswer: -(w - 1)*(w + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1231 (base 4) in base 14?\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -63*c - 2779. Determine j(-48).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 55 + 15 = 0. Suppose 0 = 4*b - 32 + d. Calculate the smallest common multiple of 10 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14046*p*w**5 - 85*p*w**3 - 2*p*w - 2*p + 42*w**2 + 2*w + 20833 wrt w.\nAnswer: 842760*p*w**2 - 510*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(-14))\/((-2)\/(-60)). Let n(t) = -t - 12. Let s be n(x). Let -s*k**3 + 2*k**2 + 3*k**3 - 5*k**2 + 3*k**3 = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*b + 14*b - 32*b.\nAnswer: -61*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0140542933 to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**6*y**(-4\/7))\/((y\/(y**(-18)*y))\/y**(-26)) assuming y is positive.\nAnswer: y**(-347\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 4*a = 5*r - 3, 5*r - 24 = 3*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1213 is divided by 152?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30.971 - -0.029. Let i = 29 - o. Let p be (3\/14)\/((-15)\/(-20)). Which is the nearest to i? (a) 4 (b) -0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54780 and 2143724.\nAnswer: 32155860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 5*h**2 + 4*h + 4. Suppose -2*s = -14 + 4. What is the tens digit of q(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -364 (base 8) in base 12?\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3859, 7680, 11441, 15112, 18663, 22064, 25285?\nAnswer: 28296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-6) + (589 - 603))*(1124\/(-8) + 1)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) 2 (c) 2\/11 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3341048 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**3 - 4*g**2 + 7*g - 6. Suppose -2*w - 3 = -3*j, 0 = j - 1 - 2. Let d be h(w). Calculate the highest common divisor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -2196*t + 2201*t - 5*g, -5*t + 10 = 3*g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13.1203 and 1.\nAnswer: -13.1203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 12*o - 6 + 157*o + 18 + 73*o. Let f be b(11). What is the third derivative of -12*t**2 + 2674*t - 25*t**4 - f*t wrt t?\nAnswer: -600*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -4, 193\/6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21541?\nAnswer: 13, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 6:46 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-5)\/2)*8. Suppose 3*p + 28 - 142 = 0. Suppose p*f - 166 = -14. Sort 3, k, f, 1.\nAnswer: k, 1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 5*i**2 - 1. Let l be k(-5). Let n(p) = 74383*p - 74381*p - 11*p**2 + 1 - 5*p**2. Determine n(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 68 = -4*n, -42 = -1106*n + 1104*n + 2*k for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (2\/5)\/((-16)\/110). Which is smaller: m or 16?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3))**(3\/28)*(f*f**(-3))\/(f\/(f\/f**(-1\/7))) assuming f is positive.\nAnswer: f**(-51\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*h + 14, h + 3*v - 4 = 5. Let f be (3\/h)\/((-7)\/(-42)). Suppose -y = -4*y + 3*n + 234, -y + 82 = f*n. List the prime factors of y.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 0.4, 3\/2, 3, -1.7, -0.1, -13.58?\nAnswer: -13.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -5, -2\/5, 2\/29, 223 in decreasing order.\nAnswer: 223, 1\/4, 2\/29, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -276 + 99 + (92 - -10).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*t - 44, -119 = -5*t - 7*a - 3. Put -4, t, -1 in ascending order.\nAnswer: -4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f - 22*f = 5*d + 45, 0 = 5*d - f + 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -19. Let x = 22 - h. Determine l so that -11*l**5 + 12*l**3 - 18*l**5 - 10*l**4 + 25*l**x + 2*l**4 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 479*f - 264. Determine k(1).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -66, 15, -3, 2, -0.12?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1823 + 907. What is the units digit of (17\/(-68))\/(1\/m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 3:35 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 309000.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 124752528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 477 (b) 30 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiwiiiiiwiiiiiiiiiii. What is prob of picking 1 w and 2 i?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/5 + 2262\/567. Is 0 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*l + 3)*(0 - 4 + 2) + (-5 + 0 + 3)*(l - 3 + 3) + 32*l + 5 - 5 - 13*l - 9*l + 0*l to the form r + h*l and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 554 divided by 277.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 207060?\nAnswer: 1863540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1277255425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*l = -25, -d - 30 = l - 35. Solve 18 = d*g - 2*f, -2*f - 9 = -4*g + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -383 (base 13) to base 8.\nAnswer: -1146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 16. Give o(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93 + 103. Suppose y = -4*h + 22. What is the highest common factor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q - 15. Let v be c(9). Calculate the highest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84888 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11496090 by 2.\nAnswer: 5748045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.505486 decades?\nAnswer: 95.05486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/36)\/(91\/273)*-20*13.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*t + 4*g - 53, -2*t + 4*g = 6. Suppose 3*c = -6*c + t*c. Solve -2*b = 0, 5*b = s + 3 - c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*w + 9, n = -2*n - 3. Let a be w\/8 - 5797\/(-44). What is the greatest common divisor of a and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 4 + 5 + 5786*p**2 + 4 - 15 - 2*p in the form i*p**2 + u + c*p and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 19. Let f(c) = 0 + 0 + c. What are the prime factors of f(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 1. Let t = -2 + 5. Let r be x(t). Solve -2*c + r*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 0*t**2 + 10*t + 3\/10*t**5 + 3\/16*t**4 + 13 + 2\/15*t**6 + 0*t**3. Factor j(d).\nAnswer: d**2*(4*d + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v + 936 = -21*v - 24*v for v.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/458 and 95\/35592.\nAnswer: 8150568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2052120 divided by -1960.\nAnswer: -1047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 8*n - 4. Calculate d(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 789*r + 66*r = 855 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 0.3, 0.02, 5, -3, -0.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*k = -989 - 1531. Let y(i) = 53*i + 3. Let u be y(1). Is k > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(2 - 1\/(-2)) - -272*(-87)\/(-580)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1))\/((-4)\/(-6)*1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 2. Let r be y(0). Suppose -2*j + 13 = 3*u, -1 = j - 3. Solve -d**r - d**2 + 3*d**5 + 0*d**2 - 6*d**3 + 2*d**4 + u*d**5 = 0 for d.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -28 + -31 - 19.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 3*b**3 + b**2 + b - 41. Determine x(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -3*v**2\/2 - 6*v + 11. Calculate t(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k**4 - 9*k**2 + 8*k**2 + 2*k**4)*(-3*k - 3*k + 5*k) + (3 - 2 - 3)*(3*k**5 - 6 + 6) + 16*k**5 + 13*k**4 - 13*k**4.\nAnswer: 15*k**5 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*x**2 - 131 + 267 - 136.\nAnswer: 161*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 749319, 749328, 749335, 749340, 749343, 749344, 749343?\nAnswer: 749340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -21. Let x = n + -39. Let d = 35 + x. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -3. Suppose -j + f*j + 1 = 0. Let w = j + 9. Calculate the greatest common factor of 32 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**2 + 38322*b + 3839919 = 0.\nAnswer: -12673, -101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1509141?\nAnswer: 3, 17, 127, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k. Let a be 2\/(-1)*(-3)\/(-2). What is the units digit of q(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -1*10\/2*-3 and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, x: 1, n: 2}. Give prob of picking 1 l and 1 n.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 123.9938 days?\nAnswer: 10713064320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/((-6)\/2))\/(-1). Suppose -3 + k = -2*v. Let w(a) = -a - 1 + v. Let i(c) = -3*c. Calculate i(w(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 13*t**2 + 30*t + 14. What is the units digit of y(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001865512 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**5 + 24*u**4 - 12*u**3 - 80*u**2 - 48*u = 0. What is u?\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:50 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**0)**10\/(k*((k*k**0*k)\/k)\/k*k*k**2*k))**(2\/9) assuming k is positive.\nAnswer: k**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x**3 + 7*x. Let m(n) = n + n**3 + 0*n - 2*n**3 - 2*n. Let u be 9 + (-12)\/(-8)*-2. Let c = -1 + u. Calculate c*m(i) + v(i).\nAnswer: i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 15 = 0, 5*f - c = 1 + 72. Let b = 36 - f. Calculate the greatest common factor of b and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 + 69. Is ((-1060)\/30)\/(2\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5 + 0 = 0, 0 = -2*s - 4*d - 86. Let i be (2 + 16\/(-5))*s. Suppose -g = -1 - i. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2209 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6368976 by -15384.\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 35 = p, -9*p - 26 + 51 = 4*f - 2*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 3:59 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 323628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.3 + 16. Let m = t - -1.3044. What is m rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-6) + 3835\/(-177). Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-13 - -12) - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-182)\/(-39)*(6021\/(-504) - -12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -0.03, -412, -2, -11, -3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 796120, 796056, 795992, 795928, 795864?\nAnswer: 795800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51032, -51033, -51034?\nAnswer: -51035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2 = -5*p - 3, -z = 4*p + 4. Let n be (-1 - -2) + (-2 - 1). Let f be 2*(-2 - 7\/n). Solve -c + 2*q = f*q, z = 2*q - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -385*r**4 - r**3\/6 + 12*r**2 - 4*r - 4. Let q be n(4). Round q to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**2 + 7. Let n(l) = 10*l**2. Determine k(n(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqq when three letters picked without replacement from {q: 2, f: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 1. Let k(r) = 3*r**3 + 4*r**2 + 4. Let f(p) = -p**2 + 4*p + 2. Let y be f(4). Suppose 3*j - y = 1. Give j*k(g) - 4*x(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, w: 1, d: 1, l: 1, s: 1}. Give prob of picking 1 s, 1 w, and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - 4.5. Let v = -0.02 - 0.08. Let j = v - s. Which is the third biggest value? (a) 5 (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14*(2 + -1)*-1. Let f(w) = w**2 + 3*w. Let t(b) = -4*b**2 - 14*b. Suppose -4*m + 6 = 2*u, 3*m = 4*u - 2*u + 15. Determine s*f(i) + u*t(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -1.0276462?\nAnswer: -0.5276462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63.1 + 39. Let n = 24 + p. Let c = -0.4 - 0. What is the nearest to n in 3\/7, 3\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - m - 63, f + m + 39 - 9 = 0. Let t = -229\/7 - f. Sort t, 2\/5, -0.5 in decreasing order.\nAnswer: 2\/5, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from jjvjjuvujuvujjuuvjj?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b - 4*b - 7*b - 2*b + 11*b - 2*b + 15*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 87*x**2 + 9*x. Let g(t) = 22*t**2 + 2*t. Calculate 9*g(y) - 2*j(y).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 486.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 177 = -0*h. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, 0.0918, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + 3*q**3 - 6*q**3 + 25 - 25.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*f**2 + 1235*f - 490.\nAnswer: -5*(f - 49)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00111129 to five dps.\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.804 + -6.504. What is the fourth biggest value in t, 2, 11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.701 - 3.568. Let h = u + -0.133. Put 2\/9, -18, h in decreasing order.\nAnswer: 2\/9, h, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17599 by -5129.\nAnswer: -17599\/5129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/5)\/((-224)\/240 + 1). Let j(b) = b**2. Let k be j(2). Suppose -2*m = -k*n + 354, 24 = 2*n + s*m - 133. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.018 + -22.018. Let v = d + 18.6. Let c = -3.9 - v. What is the second smallest value in c, -4, 1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/12)\/(11\/(-22))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -680*g - 10191. Determine q(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2044955, 4089806, 6134657, 8179508, 10224359?\nAnswer: 12269210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*c + 2431936 = -18*c + 6*c. What are the prime factors of c?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 55*l + 10. Let m be c(5). Let s be ((-1)\/(-2))\/(1\/6). Suppose -m = -2*t - s*t. What is t rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16 - -15)*(-67 - 0 - 0). Let h = l + 23. Let p = h - 68. Is 22 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2\/25, -2176?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-10)*5\/2. Suppose 3*b = 8 - i. What is the third derivative of 3*m**3 - 4*m**2 - 10*m**3 + 6*m**3 + 3*m**b wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.282 take away -4612.55?\nAnswer: 4612.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*g = 2, -7*c = -8*c - 5*g - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.353 - -0.293. What is the closest to z in -2, 0.5, -16, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11641 is divided by 553.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/52 and -55\/1872.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 425266 to the power of 1\/2, to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166872\/32 - (-36)\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**2 - 4468*n + 3. Let j(t) = -13*t**2 - 8927*t + 7. Calculate -7*h(s) + 3*j(s).\nAnswer: -4*s**2 + 4495*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 11. Let h = 5 + n. Calculate the greatest common factor of 20 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/12*72\/(-27))\/((-30)\/9).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 16. Factor 15*q**3 + 16 + 60*q**2 + 35*q**3 - 65*q - t*q.\nAnswer: 2*(q + 2)*(5*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -3*x - 5*u + 35, -5*x - 35 = 3*u. What are the prime factors of -134*(5\/(10\/x) - -3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2921984.18 rounded to the nearest one thousand?\nAnswer: 2922000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002372171 to 7 dps.\nAnswer: 0.0000237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 148749019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1035 (base 16) to base 6\nAnswer: 31113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 8*n + 2. Let z be k(-5). Let w = z + -12. Let v be (-38)\/(-14) + (-2)\/(-7). Put -3, v, w in descending order.\nAnswer: w, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4*(4 + -18). Let q(a) = -499*a + 14. Let c be q(s). Let j be c\/(-35) - 6\/(-10). What is j rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 4*m + 12, -2*m - 23 = -2*b - 17. Solve 3*j - j = b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20388727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*w)*((-w + 4*w - 5*w)*(6*w**2 - 4*w**2 - 5*w**2) - 2*w**3 - 1 + 1).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182018980 and 1320.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -113, 2\/23, 18 in increasing order.\nAnswer: -113, -2\/5, 2\/23, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 12*m - 11. Let h be y(11). Let j(s) = -71*s - 1. Let r be j(-2). Suppose h = 2*f + f - r. Is f 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 -212496*a**3 - 2*a**2 - 31833*a?\nAnswer: -1274976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.205864 to 3 dps.\nAnswer: -0.206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7418957, 7418958, 7418959, 7418960, 7418961?\n\"Answer: q + 7418956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 695293 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 25*f**3 + 20*f**2. Let h(m) = m**3 + m**2. Determine -60*h(b) + 3*n(b).\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -135*j**6 + 37*j**2 - 2*j - 4*j**2 + 191*j**6 wrt j?\nAnswer: 6720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssslsssllv. What is prob of sequence lsl?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820101559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*4\/8)\/(10\/(-15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighty-one quarters of a decade?\nAnswer: 2430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -11*r. Suppose -2 = a - 7. Suppose 4*b - q + 9 = 60, 2*q - 54 = -a*b. Let z(n) = 17*n**2 + b*n**2 - 31*n**2. Give p(z(l)).\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -10)\/(4 - 5). Let n(x) = -5*x**3 + 4*x**2 - 4*x - 4. Let l(c) = 14*c**3 - 11*c**2 + 11*c + 11. What is y*n(s) + 4*l(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2116*y + 2087*y + 1218 = 0. Solve 42*l - y = 168 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 18. Let z = -6 + 5. Which is the nearest to -2\/3? (a) z (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 4*t - 2*t)*(-2 + 3 + 0 + (2 - 6 + 2)*(-15 - 3 + 4)) to v + p*t and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8054 + 1750. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12696 a factor of 4351477824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93.8 - -88. Which is smaller: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 167*n**6\/2 + 7321*n**4\/12 + 2*n - 264. What is the third derivative of w(j) wrt j?\nAnswer: 60120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 68 + 56. Let m = j + 66. Put -2, 0.3, m, 1 in increasing order.\nAnswer: -2, 0.3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q**2 + 2*q**2 + 1504*q - 755*q + 12*q**2 - 749*q.\nAnswer: 29*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(3 + 0 - 2)*(115 + 8*z - 115).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 81 = 1331*b - 1334*b, -2*o - 112 = -4*b for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 190384, 380744, 571106, 761470, 951836, 1142204?\n\"Answer: j**2 + 190357*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (0\/4 - 2). What is the third derivative of 13*r - 2*r**p - 13*r - 2*r**2 wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100011 + 10000001010001100?\nAnswer: 10000010010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14417886 and 34629.\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -141, -117, -67, 9, 111, 239?\n\"Answer: 13*w**2 - 15*w - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - k. Let a(p) = -11*p**2 - p. Let w(y) = -a(y) + x(y). Give w(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 = 24. Let j be 16\/20 + 4\/h. Suppose -4*r - d = 23, 4*r = -3*d - 14 + j. Do -7 and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -15*b + 12. Let t = 18 + -15. Let i be y(t). Let a = 27 - i. Is a a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by 2228.\nAnswer: -43\/2228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4977.\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 272 + -271. Let l be (3\/v + 540\/(-168))*-2. Let s = 0.067 - 34.067. Put s, 2\/3, l, -2 in descending order.\nAnswer: 2\/3, l, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*((sqrt(1573) - 5*1*sqrt(1573)) + -2*sqrt(1573)*-4))**2.\nAnswer: -352*sqrt(13) + 100676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**5\/60 - g**4\/12 - 7*g**3\/3 - 7997*g**2. Let q(v) = -v - 3. Let i be q(-8). Determine j(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6234 + 4*z - 6234.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l = 35*l - 1098. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4) - 33\/30. Which is the nearest to m? (a) 0.4 (b) 2\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -78, -124, -200, -312?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -14483243 equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -2. Suppose 82 = -y*u - 30. Let m be 4\/(7\/(u\/(-88))). Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292913 rounded to the nearest one thousand?\nAnswer: 2293000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + f**2 - f. Let d(y) = 79*y**3 + 15*y**2 + 2*y - 2. Let w(a) = 2*b(a) + d(a). What is the third derivative of w(q) wrt q?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 404014.0362?\nAnswer: 404010.0362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**3 - 3*v**2 + v + 3. Let g be x(-1). Is 18 a factor of ((-21)\/14)\/(g\/(-546))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 5*b**2 - b + 7. Let w be g(5). Suppose -3*k - 15 = -2*d - 0*d, -w*k - 15 = -3*d. Let y(u) = 2*u + 4. Give y(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9610.555 meters in micrometers?\nAnswer: 9610555000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + 5*c)*(3 + 0 - 2)*(25 + 92 - 30).\nAnswer: 174*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.7 * -773.925.\nAnswer: 2863.5225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 24*w**2 + 2*w + 1. Let y be p(-1). Suppose -172 = -y*j + 288. Calculate the lowest common multiple of 202 and j.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 27 = 2*m + 5*o, -19 = -2*m - 3*o. Let p be -14*m\/(-8)*2. Suppose 2*b = -4, -5*w + 45 = p*b - 2*b. Calculate the least common multiple of 3 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -400? (a) -2\/53 (b) 3 (c) -4 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2344798632 minus -0.1?\nAnswer: -0.1344798632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 709513 - 709783 = 18*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1393 - 20.\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.004 (b) 3 (c) 2\/3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -242\/5 + 1709\/35. Let r = 0.117 - 0.117. Which is the third biggest value? (a) h (b) r (c) 6 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 377 from -1075711888260.\nAnswer: -1075711888637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170)*-2*1 + sqrt(170))*5)\/(2*sqrt(160) + -1*sqrt(490)))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 1\/192*u**4 + 1\/24*u**3 - 1\/960*u**6 - 2*u**2 - 1\/160*u**5 + 1\/1680*u**7 + 0 + 0*u. Factor g(t).\nAnswer: (t - 2)*(t - 1)*(t + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 + 3 - 7*c**3 + 7*c**3 + 2*c**2 - 5*c**2. Let h(w) be the second derivative of -3*w**5\/20 - w**4\/3 + 2*w**2 + 12*w. Give 4*b(a) - 3*h(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 845717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -65505 rounded to the nearest 100?\nAnswer: -65500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 0*z + 2 = -57*s + 59*s, 5*z + 14 = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10*o**3 + o**2 - o - 1. Let v be (-2 + (-12)\/(-10))\/(1\/(-55)). Suppose v*n - 3 = 47*n. Calculate f(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) - (sqrt(270) + sqrt(270)*-2))*-3)\/sqrt(10) - (-2 + -5 + sqrt(192) + (sqrt(192)*-1 - sqrt(192) - sqrt(192)))**2.\nAnswer: -817 - 242*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 155058830 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**5\/60 - g**4\/6 + 4*g**3\/3 + 11*g**2. Suppose -3*p + 5*w + 11 = -5*p, -p + 2*w - 10 = 0. Is h(p) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2. Let m(c) = 2*c**2. Let b(o) = m(o) + s(o). Let w(n) = 73*n + 1. Calculate w(b(u)).\nAnswer: -73*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - 13*x**2 + 2*x - 8. Let t be f(-7). Calculate the highest common factor of t and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 274 + -463. Let a = q - -188.5. Sort -1, 3, -3, a.\nAnswer: -3, -1, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r + 336*r**3 - 335*r**3 - 26*r.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwaanndnqndwdnd. Give prob of sequence nada.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s + 8*s**2 + 13*s**2 + 0*s**2 = 0. What is s?\nAnswer: 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -9. Suppose 0*o = 5*o. Let w = y + o. Calculate the smallest common multiple of 6 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68223 (base 16) to base 7.\nAnswer: 3424350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -16*j**4 + 2*j**3 + 2*j**2 + 11. Let s(h) = 15*h**4 - 3*h**3 - 3*h**2 - 11. Let p(l) = -2*s(l) - 3*w(l). Find the first derivative of p(n) wrt n.\nAnswer: 72*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 10*f + 11*f + 97985, -5*q + 163335 = 5*f. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1 - (1 + (-1 - -2))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f = -18*f - 3. Let l be 8\/((-6)\/(f - 0)). Suppose -l*y = -c + 112, -2*y = -8 - 2. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4325 and 3979.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 600 = -4*i, 15 = 5*i + 40. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 447562 divided by 44\nAnswer: 223781\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, z: 1}. Give prob of sequence ze.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -59*y**4\/2 + 52*y**2 + 115. What is the second derivative of p(i) wrt i?\nAnswer: -708*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 37186932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-8)*(-164)\/6314 - 981\/(-1254)?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24161 (base 8) to base 6\nAnswer: 115533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -3, 3, -209, 0 in increasing order.\nAnswer: -209, -3, 0, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 68 = -0*x + 2*x, -x + 44 = 5*r. Let v = x - 20. Suppose -4*h + 3*h + 18 = 3*b, v*h = 5*b - 13. Solve 2*d + 1 = t + b, -t = -2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 385270?\nAnswer: 385270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -160891646418 - -160891645532.00000487. Let v = n - -886. What is v rounded to 7 dps?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 10027.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6009 and -26.0058403?\nAnswer: 5982.9941597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 13*u + 23. What is s(8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479*p**2 + 185*p**2 - 299*p**2 - 313*p**2.\nAnswer: 52*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000064424212 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -13*b - 9. Determine u(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301 - -305. Is (51\/(-4))\/(m\/(-16)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 6*x**2 + 3*x - 6. Let r be l(6). Let z(c) = 7*c - 13 + c - 6*c + 0*c. Calculate the remainder when 31 is divided by z(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**3 + 9*n**3 + n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/20 + (44\/10 - -1). Suppose 0*z - 30 = -p*z. Solve -3*m = 3 + z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkxexxxkeeee. Give prob of sequence kkx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254514567 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24900 + -10133. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 times -27402?\nAnswer: 1260492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iii. Give prob of picking 3 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 1\/7 (c) -12 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -34.4 (b) 2 (c) 1 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 1. Let y = k + -21. Which is the closest to y? (a) 0.5 (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/5799 and -53\/34.\nAnswer: 197166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n = 18*n - 28*n - 286 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 p when three letters picked without replacement from {p: 4, f: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(4 - 4 - z) - 71*z + 38*z - 16*z - 66*z.\nAnswer: -116*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 78094400 to the power of 1\/3, to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - ((74 - 11) + 37) - -11?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - 1. Let k(g) = -g**3 - 12*g**2 - 10*g + 16. Let b be k(v). Do b and 9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-19\/3)\/l**(1\/7))\/(l**(-8))**(1\/6) assuming l is positive.\nAnswer: l**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25370847 divided by 1\nAnswer: 25370847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1954494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4231*r**3 + 3*r - 1 - 2*r - 8*r + 4227*r**3 + 2*r**2 as k*r**2 + m*r**3 + v + u*r and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a microgram in nanograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 + 0.45. Let y = -3.3 + 0. Let z = 0.3 + y. What is the third smallest value in b, z, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 712.3047ml to litres.\nAnswer: 0.7123047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(528\/187) - (-1)\/(-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**4\/18 - 4*y**3\/27 - 26. Solve h(u) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 + 15 + -2 + -33 + 36\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 1246*y + 1264*y - 7 + 31 + 38 to q*y + i and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 4, d: 14}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -11\/2, 2\/15, 73, 5 in descending order.\nAnswer: 73, 5, 2\/15, -3\/4, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2452*m**2 + 204 + 121*m**2 - 204 + 12*m**3 wrt m?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23661376.4 and -4.\nAnswer: -94645505.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-1)\/3*(-6)\/(-4). Let k(c) be the first derivative of -5*c + 4 - s*c**2. Give k(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*p - 42942 = 0, -4*p + 23 = -1. List the prime factors of n.\nAnswer: 2, 3, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125\/357 - 2\/119. Let f = -2.558 - -0.558. Which is the closest to -2\/3? (a) 11 (b) y (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16986 + 22913. Does 202 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -450*i + 414*i - 15 + 8 to k*i + r and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3656 greater than or equal to 3650?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 2*v**2 + 2. Let t be y(2). Let u be ((-117)\/(-6) - -3)*t. Let f = -11 + 20. Calculate the highest common factor of f and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 6*j**2 - 3. Let m be b(-6). Let r be 0 + (-1 + m - -3). Calculate the common denominator of r - (-4)\/((-112)\/132) and -25\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473164123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 18. Suppose -i = -3*t + 50. Suppose -6*k + t = 3*n - k, 5*n - 40 = -k. Solve -n = -4*r - 4*z, -2*z - 3 = -2*r - 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1418541148?\nAnswer: 2, 29, 139, 87977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171 - 200. Let a = v - -34. Let z(x) be the second derivative of -x**3\/6 - 3*x. Give z(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 5:12 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1040 - -1472. Let p be a\/(-1 - 2)*10\/20. Is -73 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 31*y**2 - 5*y + 2*y + 4*y - 1. Let o = 129 + -128. Is n(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1440 + 5*o - o**2 + 1438 + 2*o**2. Give k(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/5 - -23\/20. Let o be 2 + (1 - 22\/6). What is the closest to -2 in o, -0.2, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12549185 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 252*j - 236*j - 48 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 40 = 4*f. Let l(a) = a**3 - 6*a**2 + 8*a - 5. Let k be l(5). Let s be (-1)\/((k\/f)\/(-5)). Solve s*n - 4 = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 3696?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**7)**(-24)*(i\/(((i\/(i\/(i\/(i*i\/(i**5*i*i*i)))))\/i)\/i*i))\/i**(1\/3))**(3\/2) assuming i is positive.\nAnswer: i**(-260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-12)*p)\/(p*p**7))\/(p\/(p**(-11)\/p*p)*p**(-2\/19)*p*p) assuming p is positive.\nAnswer: p**(-625\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 3*q**2 - 6 + 2 - 8 - 5.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4\/5 - 17387*t**3\/5 + 1143933*t**2\/5 - 1004026*t - 265360 = 0 for t.\nAnswer: -1\/4, 5, 62, 4280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by 6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-25))\/(3 - 68\/20).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*(2 + 0 + -2*sqrt(1088))*-5)**2.\nAnswer: -44000*sqrt(17) + 2723025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 0 + 6*j**4 - 32\/3*j**3 - 4*j - 62\/3*j**2 = 0?\nAnswer: -1, -2\/9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -10\/9*q**3 + 5\/24*q**4 + 5\/4*q**2 + 16 + 0*q. Factor d(h).\nAnswer: 5*h*(h - 3)*(h - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3 + 30*l**2 - 126*l + 162 = 0.\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 11*l = 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -27*i + 114 + 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -16. Suppose f - b*f = -12. What is the least common multiple of f and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2555230, -2555228, -2555232, -2555242, -2555258, -2555280?\nAnswer: -2555308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 747581728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16545849367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 288561 + 27750. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4048 is divided by 319?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - -6. Suppose -3*a - 4*z = -20, 5*a - 4*z - 16 = -2*z. Calculate the smallest common multiple of (-4 + 8)\/a*1 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14ebadb + 2?\nAnswer: -14ebad9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 188454 - 376908 + 188639.\nAnswer: 3*p + 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3592 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k - 1559 + 1598 - 4*k.\nAnswer: 2*k + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 18*o + 33. Let i be w(16). Let n(k) = 12. Let j(m) = -4*m - 71. Let t(c) = j(c) + 6*n(c). Give t(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 155126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 134?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - 5. Suppose 5 = v*h + 20. Is 1 + (37 - (-2 - h)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100) - (-1*sqrt(100) - sqrt(100)))*5 + (sqrt(100) - -4*(sqrt(100)*-2 + sqrt(100))))\/((sqrt(80)\/(sqrt(32)\/sqrt(4)))\/sqrt(2)))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18630 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, y: 4}. What is prob of picking 4 y?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 13) to base 4\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 12*n**2 + 3*n + 45. Calculate f(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 597, 1210, 1825, 2442, 3061, 3682, 4305?\nAnswer: 4930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3692 - 3692. Let l be (1030\/156)\/5 + 4\/(-3). Do n and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 1:31 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n + 3*n)*(n + 0*n + n) + 3*n - 2*n**2 + 4*n**2 + 0*n.\nAnswer: 12*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*3.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14823249 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2466 and 28222?\nAnswer: 253998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 4*l - 2. Let n = 20 - 18. Let t be y(n). Suppose -t*g = -d - 108, -4*g + d + 2*d + 212 = 0. Calculate the greatest common factor of g and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**3*y**3 - 1739*j**3*y**2 - 288*j**3 + 4*j**2*y + 6*j*y + 43*y**3 wrt y?\nAnswer: -18*j**3*y - 3478*j**3 + 258*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(85) + sqrt(85))\/sqrt(5))**2 + sqrt(17) + sqrt(68)*-1)*3.\nAnswer: -3*sqrt(17) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -14*h + 131. Let j(n) be the first derivative of -5*n**2\/2 + 44*n + 9514. Determine -4*c(t) + 11*j(t).\nAnswer: t - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(11*m**2 + 0*m**2 - 4*m**2) + 53 - 66 - 55*m**2 + 63*m**2.\nAnswer: -6*m**2 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -2*c - 20. Suppose 15 = 4*j + 3*h, c*h = -4*j + 3*j + 7. Sort 9, 5, j in decreasing order.\nAnswer: 9, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/((q\/q**(2\/7))\/q)*q))**(-3\/28)\/(q**6\/q**(1\/3)) assuming q is positive.\nAnswer: q**(-1657\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 7 + 2. Let x = 0 + s. Is (0 - 11)\/(x + -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1023, 2044, 3065?\n\"Answer: 1021*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -132200132123?\nAnswer: 132200132132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1507 (c) 2\/27 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 - 3*p**3 + 7*p**3 - 3 as x + m*p**2 + z*p**3 + u*p and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-4 - 0) + (-38)\/(-10)). Suppose 4*s = -20, i*s + 13 = -7*v + 3*v. Solve 5*d = 4*d + v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhh when three letters picked without replacement from hpfpthtflmht?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 6:45 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by (-196)\/(-10) + 2\/5*1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/33 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d. Let r(q) be the third derivative of 461*q**4\/24 + 150*q**2. What is r(w(s))?\nAnswer: 1383*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-2)*(-2)\/210*1.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m - 9. Let l be t(-5). What is the greatest common factor of 44 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1608097 and 758?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 519*c**2 - 75*c - 2521. Is u(-27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -21, 3\/2, 0, -8, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22762 or -22758?\nAnswer: -22758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -192 - -192. Which is the biggest value? (a) -10 (b) -11 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 12:51 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 - 147 - 153 + 300.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -35*i**5 - 275*i**4 + 145*i**3 + 895*i**2 + 430*i - 80 = 0.\nAnswer: -8, -1, 1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**2. Let x(v) = v + 68. Give x(f(r)).\nAnswer: -5*r**2 + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 36*n + 125. Let w be j(-32). Sort w, -3.7, -2\/7, 12, -0.3 in increasing order.\nAnswer: -3.7, w, -0.3, -2\/7, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - b - 68 = 0, 348 = 5*c - 0*b - b. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**3 - 5*n**2 - 4*n - 4. Let k(i) = 16*i**3 + 25*i**2 + 19*i + 21. Let d(o) = -2*k(o) - 11*w(o). Determine d(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-390)\/48)\/(-1) - (-19)\/(-152). Suppose -2*w + 8*w - 12 = 0. Solve -3*s + w = v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-2 - 1)) + (15 + -7 + 0 - 66)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 - 4*s. Let b be f(2). Suppose -11*l - l = b. Suppose -5*r + 24 = -2*u, l = 2*u - 0*u + 4. Calculate the least common multiple of 3 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/31)*l**(-8) assuming l is positive.\nAnswer: l**(-247\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813 is divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -50340 divided by 6\nAnswer: -8390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/10 - (78\/(-40) + 2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**3 - 54*x**2 + 2*x + 27*x**2 + 34*x**2 in the form z + n*x**3 + i*x + b*x**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*h - 9*h - 13*h)*(-2 - 1 + 1)*(h - h**2 - h).\nAnswer: 42*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/((-45)\/(-400))*(-32)\/800.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4037815 and 125.659576.\nAnswer: 125.2557945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 112200202 (base 3) in base 13?\nAnswer: 4b50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x**11*x)\/x)\/x**(1\/2))\/(x**8)**(-28))**25 assuming x is positive.\nAnswer: x**(11775\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -561880 divided by -561880?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 822 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -25. Which is the third smallest value? (a) 0.5 (b) 2\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = 2*v. Suppose l - 5*k - 6 = v, -3*k + k + 165 = 5*l. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -1.6493, 0.07, -1\/2, 0.3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2 + 7*x + 4. Let y(l) = 9*l**2 - 13*l - 8. Let f = -11 - -6. Let u(v) = f*p(v) - 3*y(v). Let z(t) = t**2 - 3*t - 3. Calculate -3*u(r) - 4*z(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -6. Is 238\/5 + 4\/d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**2 + 554*x + 6038. What is m(-12)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 858, -0.59, 3?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27b7 (base 14) to base 11.\nAnswer: -5303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 18*t + 127*t.\nAnswer: 149*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-225)\/2)\/3*8*(-4)\/40\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33319, 66583, 99857, 133141, 166435?\nAnswer: 199739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 2*o + 52. Let d = 41 + o. Let h = d - 5. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.8 + -21. Let v be (-10)\/(-15)*(-3)\/(-8). Suppose -4*g - 12 = 3*j, j + 2 = -4*g - 10. Which is the closest to v? (a) -2 (b) o (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 + 7 = 0. Let d be f\/9 - 4\/(-6). Suppose d*t = -0*t + 8. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -58. Suppose 14*x + i = 7*x. Let g(l) = -l - 16. Determine g(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12598093?\nAnswer: 29, 37, 59, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 9) in base 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118169 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*k - 81*k = 2660. Let b be k\/114 + (-2)\/6 - 0. Solve 3*s - b*r - r = -3, 2*s - 1 = 5*r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 + 11*r**2 + 23*r**2 + 13*r + 25*r**2 - 4*r**2 in the form l*r + m + p*r**2 and give p.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-21)*8715\/3237.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**5\/5 - 9969*c**4\/5 + 79872*c**3\/5 - 239736*c**2\/5 + 319728*c\/5 - 159888\/5.\nAnswer: -3*(c - 2)**4*(c + 3331)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + 64. Which is smaller: 117 or q?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6.8 (b) 0.4 (c) -0.12 (d) -0.061\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = 0, 383 = 4*c + i + 1488. Let f = c + 158. Is -119 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 32*u + 12. Let k(a) = a. What is k(b(w))?\nAnswer: 32*w + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2856 is divided by 446?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0056197889 to four decimal places.\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-14894.216722\nAnswer: -14893.716722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + (-21 + -31 + 6 + -8 - -6)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13537?\nAnswer: 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.00865664 and 5.\nAnswer: 0.0432832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1398768 and 19068?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 - (7 - 2))) + -49 + 46.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20262, -20280, -20296, -20310?\n\"Answer: a**2 - 21*a - 20242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 122*s - 1312. Let m be u(11). Solve m*q = -2*q - 32 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 8*g**2 - 7*g - 5. Let s be m(6). Suppose 1 = -3*a + s. Solve -3*p + p = -a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*a = -5*q + 50*a - 22, -12 = 2*q - 2*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1177 by -3.\nAnswer: 1177\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33511747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 819, 820, 821?\n\"Answer: v + 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13186077 - 8446077. What is y rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 445147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 23?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 68483, 68487, 68491, 68495, 68499, 68503?\n\"Answer: 4*n + 68479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(((-54)\/(-60))\/(-9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 165 - -16803?\nAnswer: 17068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = z - 3*z + 2*n, 2*n = -z + 54. Let c = z + -109. Let x be (-3 - -2)*(c + 0). What is x rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(400) - (sqrt(400) + (sqrt(400)*-2 - sqrt(400)))) - sqrt(400) - -3*sqrt(400)*-1)\/((1*sqrt(648) + sqrt(648))*-1).\nAnswer: -25*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2579 + -2579. Is -596 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 6*n + 9. Let z = 2 - -5. Let v be d(z). Let s - 2 + 2 - s**v = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.11 - 0.11. Suppose -2*g + 2 + 17 = k, 3*k - 52 = -g. Let f = k + -52\/3. What is the closest to f in -1, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -0.2. Let v = k + 1. Let t = 2808 - 2804. Which is the third smallest value? (a) v (b) 10 (c) -2\/17 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 2182*q + 17382. Let i be w(8). Let o(r) = r**2 + 10*r - 31. What is o(i)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12467369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 3. Let l be c(-7). Solve 2*i + l = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -1. Which is smaller: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 25279, -2 in decreasing order.\nAnswer: 25279, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1051704909?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44*c*m*p**3 + 452*c*m - 11*c*p**2 - 409*p**3 - 1 wrt m?\nAnswer: -44*c*p**3 + 452*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3 + 2 + k - 3. Suppose 0 = d - 2*d - 6. Let q be a(d). Sort 0, q, -3 in increasing order.\nAnswer: q, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*o + 2*p, -3*o - 13 = 4*p - 5*p. Let f(r) = -2*r**2 + 6*r - 11. Let w(m) = 6*m**2 - 17*m + 32. Calculate o*w(b) - 17*f(b).\nAnswer: -2*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-1\/13)*q)\/q*q)\/(((q**(-2\/7)*q)\/q)\/q) assuming q is positive.\nAnswer: q**(383\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 7*i**2 - 2. Calculate k(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.07025 times -0.3\nAnswer: -0.021075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8231285 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (580\/464)\/(10\/48)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/9 + 26\/6. Suppose 5*r = -4*w + 4234, -w - d*r + 2112 = w. Let f = w - 738. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7960 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(1 - 1 - 2)*(4*y + 9*y + 3*y)*(y**2 - 3*y**2 + 0*y**2).\nAnswer: -64*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26592 take away -1453482?\nAnswer: 1453481.73408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 14*c + 14. What is n(11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 16 = -2*w. Let v(c) = 2*c**2 - 3*c - 3. Suppose 3*a - 3 = 9. Calculate the remainder when w is divided by v(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1148\/(-56) - 47)\/(5\/(-4)). Solve b*w - 400 = 4*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8034 + -8035. Let r = 1.1 + -0.8. Let s = 1 + -1. What is the nearest to s in r, -2, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r**3 + 5*r**2 + 129*r + 14. Let z(q) = q**3 - q**2 - q - 2. Calculate -k(v) - 5*z(v).\nAnswer: v**3 - 124*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.258867 millilitres to litres.\nAnswer: 0.004258867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5555867*o - 164744 wrt o.\nAnswer: 5555867","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**9\/f*f)\/((f**(3\/4)\/f)\/f)*(f*(f\/f**(-3\/4)*f)\/f)\/f*f**(2\/11)\/f*f assuming f is positive.\nAnswer: f**(156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8*-11 + (-2)\/(-8). Let t(j) = -349*j**2 - 2*j + 3. Let c be t(b). What is the hundreds digit of (-2)\/7 - (c\/14)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90434\/5 + 18012. Let f = k - -75. Does 1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49 and 199.6?\nAnswer: -9780.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -205148883 to the nearest one hundred thousand.\nAnswer: -205100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 174 - 79. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(245) + (sqrt(245) - (-1 + sqrt(245))) - sqrt(245))**2*-3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5\/9, 13\/62, -0.02.\nAnswer: -0.02, 13\/62, 5\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 62*m + 731. Calculate t(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 283 = -34*l - 40*m, 923*l + m - 89 = 927*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 + 2*f. Let t be y(-2). Suppose 0 = 2*o - t*o + 4. Suppose o*c + 0*c = 6. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8246 and -2\/25 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-25) + (-46)\/(-10). Suppose -4*a + 2*m = -a - 329, m - 224 = -2*a. Let u(f) = -2 + 58*f + 52*f - a*f. Give u(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 957, 2, -1, -118.\nAnswer: -118, -1, 2, 957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -496, -989, -1482, -1975?\n\"Answer: -493*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1648 - -1679. Sort -1\/6, d, 0.14 in descending order.\nAnswer: d, 0.14, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -775 - 437 = 59*t - 386 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 296\/90 + (-21)\/(-35) and -61\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7038, 14095, 21152?\nAnswer: 28209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7369324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/483728 and -13\/98720?\nAnswer: 4837280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = l + 3*f, -12*f - 6661 = -f - 6639 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 8. What is the units digit of i\/4 + (-57)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-9) - 1463\/(-63). Let m be (r - 22)*(-4)\/(-1)*1. What is the second derivative of -13*c - 17*c + 10*c + 11*c**m - 5*c**4 wrt c?\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 19 = -3*z - 1, -2*z - 4 = 0. Solve -4*m - 2*m = -p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10850)\/(-56) + 2\/8. Let k = x + -104. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13826, 27680, 41590, 55586, 69698, 83956, 98390, 113030?\n\"Answer: 5*p**3 - 2*p**2 + 13825*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137905 - -137905. Let q = -7 - -1. Let j = q - -6.3. Which is the smallest value? (a) z (b) j (c) 47 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.395172 rounded to 2 decimal places?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxn when three letters picked without replacement from xyxxxnnyxxxyxyxn?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3.5864, 2, 1.6, 0.1 in ascending order.\nAnswer: -4, -3.5864, 0.1, 1.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2. Suppose -4*o = -7 - x. Suppose 2*w - 33 = -o*a + 3*a, -w + 9 = a. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*q - 8 = 164*q + 2*b, 4*b - 12 = 4*q. Let k(v) = -v - 3. Let u(l) = l**3 - l - 6. Calculate q*u(x) + 5*k(x).\nAnswer: -2*x**3 - 3*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 1\/5, 0.79 in descending order.\nAnswer: 0.79, 1\/5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87 - -95. Suppose -2*c = -18 + g. Suppose 17613 = 5*m - 2*a, -c*a + 0*a - 10583 = -3*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6770 and 354988335?\nAnswer: 3385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 - 2868*u\/5.\nAnswer: 2*u*(u - 1434)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17a + -11?\nAnswer: -18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + l**2 - l + 4. Let i be b(0). Suppose -5*g + 5*o = -200, 4*g - 5*o - 38 - 117 = 0. Suppose -p - i*p = -g. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Let y(m) be the second derivative of -m**3\/6 - 13*m**2\/2 + 180*m. Calculate y(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**4 + 0*a**3 - 2*a**3 + 4*a**3 + (-2 + 2 - 3*a)*(2*a**3 - a**3 + 3*a**3) to b*a**2 + j*a**4 + g*a**3 + o*a + q and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 41*h - 466. Calculate j(-14).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -28*w. Let d(g) = 17*g**2. Calculate j(d(k)).\nAnswer: -476*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/11 - 252\/(-66). Which is the closest to 0? (a) s (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -4*c**3 + c + 70. What is j(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*w**2*y - 350862*w**2 + 73*w*y + 15369*w wrt w?\nAnswer: -16*y - 701724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -65?\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -10 - -6) + (9 - -4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e53ba - 1c?\nAnswer: 2e539e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2210)\/(-935)*(-11)\/(-6)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (81311\/(-17))\/(1\/(-2 - -1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -9 - (-5 - 1)) + (2 - -4)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxwwwxxxxxxwxwwxxw. What is prob of picking 3 w?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxfhxxfhhh. Give prob of sequence hfxh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 3) + -18 + 67. Solve -4*s + o = 6*o - d, -3*o + 10 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z + 14. Let o(n) be the first derivative of -8*n**3\/3 + 861. Give o(b(p)).\nAnswer: -72*p**2 + 672*p - 1568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -12*s. Let k(h) = h. Suppose -2*y = x + 26, 306*x + 38 = 305*x + 4*y. Let w be (1*-1)\/((-2)\/(-4)). Calculate w*q(n) + x*k(n).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11\/44)\/((-1)\/4). Let d(m) = -7*m**2 + m. Calculate d(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 11:35 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460884.\nAnswer: 2, 3, 193, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5144 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 + y**3 + 10*y**2 - y**3 as j*y**3 + m*y + g*y**2 + s and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2591 divided by 1121.\nAnswer: -2591\/1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003530776 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 77 times 14019\nAnswer: 1079463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {f: 3, p: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**2 + 4 - 4)*(6*j**2 + j**2 - 5*j**2) - 92*j**4 + 25*j**3 - 19*j**3 + 9*j**3 + 82*j**4 to l*j**2 + s + m*j + w*j**3 + x*j**4 and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46592930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 194, 390, 576, 746, 894?\n\"Answer: -i**3 + i**2 + 200*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2)*m*m**(-5)*(m\/((m*m\/(m\/(m**(1\/11)\/m)))\/m*m)*m*m)\/(m\/(m*(m**(2\/7)*m)\/m)))**(3\/11) assuming m is positive.\nAnswer: m**(-603\/1694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 17 - (1 - 1 - (-735 + 654))\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 382638621 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 74 = -j, -o - 70 = -5*o + 3*j. Suppose -2 = -o*d + 18*d. Suppose g**d + g + 0*g + 0*g = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1147*i**3 + 98*i**2 - 3*i wrt i?\nAnswer: 6882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-10)*2470\/(-4446)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j - 2*j**3)*(2 - j - 2 + 1 - 2*j - 1 + (-j + 2*j - 2*j)*(15 - 31 + 8)) + (6 - 2 - 3)*(2*j**2 + j**4 - 2*j**2) - j + 3*j**4 + j.\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(13) + 0 + (sqrt(325) + 0)**2.\nAnswer: -2*sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8511 - -127579\/15. Sort 0.2, o, 0.\nAnswer: o, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**3 - 4*s + 1. Let b be w(1). What is the nearest to 1\/4 in b, 17, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 46, 97, 170, 271?\n\"Answer: v**3 + 2*v**2 + 22*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.46 + -934.54. Let i = n - -939.9954. Round i to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523*c**2 - 1056*c**2 + 532*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + c - c)*(11 - 16 - 12).\nAnswer: 102*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b + 2*b + 3*b - 1 + 1 - b + (-3 + 4 - 2)*(-2 + 2 + b) + 0*b - b + 0*b + (2*b + 3*b - 7*b)*(-4 + 5 - 3) - b + 0 + 0 in the form n*b + m and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6440013 (base 7) in base 2?\nAnswer: 10111111000110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11\/117 + -229\/4095. Let s(d) be the third derivative of 2\/21*d**3 + 1\/84*d**4 - q*d**5 + 0 + 1\/84*d**6 + 0*d + 5*d**2. Factor s(x).\nAnswer: 2*(x - 1)**2*(5*x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/(s*s**(-1)))\/(s**(-2\/5)\/s)**42*((s**(-1)\/s)\/s*s*s\/(s**0\/s)*s)\/((s*s**(-1)*s)\/s)**33 assuming s is positive.\nAnswer: s**(294\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -105, -302, -667, -1254, -2117?\nAnswer: -3310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11735 divided by -35.\nAnswer: 2347\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 1:07 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 13*s + 5. Let m be o(4). Let j(k) = 76*k**2 + k. What is the units digit of j(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2382547 is divided by 794153?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011001 (base 2) to base 4.\nAnswer: -10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*p**3 + 33*p**3 - 7 + 11 - 11.\nAnswer: -3*p**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -12*m**2 + 4. Let u(i) = -15*i**2 - 13*i + 7*i + 6*i + 12*i**2. Determine u(n(s)).\nAnswer: -432*s**4 + 288*s**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/11*k - 12\/11 - 1\/11*k**2.\nAnswer: -(k + 2)*(k + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-9)\/6*-2. Suppose -6 = 46*l - 44*l. Let g be 0\/(6 + 1 + -5). Sort l, g, d in descending order.\nAnswer: d, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2981.1083 to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 55?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 835 - 839. What is the nearest to 0 in -1, n, 36\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5 - 8*y**4 - 203*y**3 + 2942*y**2 - 13024*y + 19040 = 0 for y.\nAnswer: -17, 4, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 2410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5 - 1 = 0. Let v(r) = r**2 + r - 1. Let d be v(l). Does 16 divide (-72)\/d - (-5 - -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/9, 2\/5, 2, 0.2, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 95 - g - 3*g - 6*g**2 - 2*g**2 - 2*g**4 + 9*g**2 + 0*g in the form f + v*g**4 + l*g**2 + p*g + m*g**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51482*z + 934818?\nAnswer: 51482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -7*v + 24. Suppose 5 - v = 3*d. Put 5, -5, d, 4 in descending order.\nAnswer: 5, 4, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2591*c - 5181*c + 2588*c - 781 to f + i*c and give f.\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 87*j**4\/8 - 7*j**3\/6 + 51*j**2 - 3. Find the first derivative of z(s) wrt s.\nAnswer: 261","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01684934 rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 260379 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 + 0 = 0, 5*p = 4*f + 17. Let z(q) = q + 19. List the prime factors of z(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 58 = -2*m, 5*m - 118 = -2*x + 36. Let i be (-8 - -47) + 6*1. Calculate the greatest common factor of m and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20212000201 + 21102?\nAnswer: -20211202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -11*j**5\/10 + 2*j**4\/3 + 8*j. Find the third derivative of a(f) wrt f.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 4*t = -170, 11*x - 9*x - 1013*t = -1017*t for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 306 by 2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -2\/2672351?\nAnswer: -2\/2672351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**3\/3 + 5*p**2\/2 + 11*p + 4. List the prime factors of t(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5656?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 20*t**2 + 23*t + 7. Let g be m(21). Let a = g + -56. Let b = -2 - a. Solve 0 = w - 3*s + 5, 2*s - b*s - 10 = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p - 4. Let j be v(3). Suppose -4*h - 216 = -4*q, 290 = -2*q + 7*q - h. Let x = q - 56. Solve 0 = -n - 5*l - 17, j*n - 5*l = x*n + 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 23 (b) -120 (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 3*g**3 - 283 - 495*g - 23*g**3 - 240*g**2 - 15*g**3 = 0 for g.\nAnswer: -3, -6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 585556 + 5?\nAnswer: 585561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -508.219115 rounded to 0 dps?\nAnswer: -508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2559, 1116, -1283, -4632, -8925?\n\"Answer: t**3 - 484*t**2 + 2*t + 3040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 + 13*b**2\/2.\nAnswer: -b**2*(b - 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-12)\/(-10)*((-100)\/(-4) + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 19 = -3*l + 6, -k = 5*l + 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21349 bigger than 106749\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**4 + 2*a**3 + a. Let i(u) = -3108*u**4 + 6*u**3 + 3*u - 2635. Let j(b) = i(b) - 3*k(b). What is the first derivative of j(v) wrt v?\nAnswer: -12456*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t - 24. Let q be n(-9). Solve y + 0*z = -q*z + 13, -y - 12 = -2*z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105212 (base 8) to base 6\nAnswer: 432110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6678.988714 - 6679. Round g to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(738\/(-54))\/41.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**3\/3 - b**2\/2 + 2*b - 32. Let g(u) = -5*u + 3. Let x(o) = -g(o) - 3*j(o). Let p(y) = 16*y. Determine p(x(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568322.\nAnswer: 2, 284161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*h, 0 = -n + 9*h - 7*h + 9386. Suppose n = y - 3227. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 + 103*r - 28. Let t = 345 + -311. Let q be y(t). Solve -16*u = -13*u + q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/10)*r**8)\/(r*r**(-2\/15)*r*r*r\/(r**(-6\/11)\/r*r)*r) assuming r is positive.\nAnswer: r**(1151\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -24.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/99 and -55\/12?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + -4 + 6 + 19 + -14.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -344*d**6*m - 6*d**3*m**3 + 187*d**2 - 11*d*m**3 wrt d?\nAnswer: -41280*d**3*m - 36*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*c**5\/8 - 95*c**4\/8 + 75*c**3\/4 - 55*c**2\/4 + 35*c\/8 - 3\/8.\nAnswer: (c - 1)**4*(23*c - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 145794947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 248*j = -249*j - 25, 21 = -3*v - j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86943603 by -86943603.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181066 divided by 90533.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 560028 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -56*b**4 + 4*b**3 - 5*b**2 + 10*b + 354. Let x(o) = 29*o**4 - 2*o**3 + 2*o**2 - 4*o - 177. Let k(f) = -2*h(f) - 5*x(f). Differentiate k(c) wrt c.\nAnswer: -132*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -15. Let n be (-2)\/s - (-16)\/7. Suppose -n*z = -39 + 11. Which is bigger: 13 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99604*n**2*y**2 - n**2*y - 23*n*y**2 - 39*n*y - 8*y**2 - 25*y - 205 wrt y.\nAnswer: -199208*n**2 - 46*n - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-420)\/(-98))\/((-1)\/1*1\/((-84)\/18)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x - 20. Suppose -4*u = 2*m - 12, 848*m = -5*u + 844*m + 15. Let v(g) = 2*g + 10. Give u*l(a) + 7*v(a).\nAnswer: -a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*y - y + y)*(-2*y - 3*y + 2*y) + (-4*y + 4*y - 2*y)*(0*y + 2*y - 3*y).\nAnswer: 47*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-66)\/(-2))\/((-45)\/(-75)) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(1\/9))**26 assuming w is positive.\nAnswer: w**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6362?\nAnswer: 2, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 1:20 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from ddkkxkkkkdddkkkdk.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, m: 1, z: 1, y: 4, f: 2}. What is prob of sequence iymy?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-6*-2*sqrt(168))\/(sqrt(8)\/(sqrt(2) - sqrt(18))))\/(2*sqrt(486) - (-4*sqrt(6)*1 - sqrt(6))).\nAnswer: -24*sqrt(7)\/23 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 6*b**2 + b + 6. Let l be j(5). Let q be (-75)\/(-35) - (-2)\/l. Let c be (-14)\/(3*q\/(-3)). Calculate the highest common factor of 35 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531058 is divided by 795?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + (2 + sqrt(252) - sqrt(252))**2 + 0.\nAnswer: 4 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 - 427*z**3 + 7*z**2 - 1022 + 1021.\nAnswer: -427*z**3 + z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 6*l = 88. Let i be 256\/48*(-438)\/l. Let a = -162 + i. Calculate the remainder when a is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (1 - -2))*0 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 10. Let t = 290 + -290.02. What is the closest to 0 in t, -2, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*q + 179 = -7 + 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.37 - 0.57. Let v = q - 6. Which is the closest to v? (a) 1\/2 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -26*n**3 + 42*n**2 + 108*n - 240. Let b be r(54). Round b to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101*a*h**3 + 2*a*h**2 + 78*a*h - h**3 - 2 wrt h.\nAnswer: -606*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2266380 or 115585318\/51?\nAnswer: 115585318\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167877 is divided by 32873?\nAnswer: 3512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*i + 18, -4*o - 2*i + 3*i = -24. Let s(x) = 5*x**2 - x. Suppose 2*h + 4 - 2 = 0. Let y be s(h). Is o greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3413 + 0.7413. What is the second biggest value in -0.3, s, 86?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3959, 1125, 2, 4, -2, -3 in ascending order.\nAnswer: -3959, -5, -3, -2, 2, 4, 1125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.854\nAnswer: -0.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 9:28 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4 + sqrt(1088))*1 + ((-1 + sqrt(1088))*2)**2 + -2).\nAnswer: -8700 + 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(0 + a + 0) + (-300 + 300 + 26*a)*(-4 - 40 - 2) in the form l*a + f and give l.\nAnswer: -1197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8*-0.52\nAnswer: -4.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1 - 7 + 3*v**3 + v**2 + 4 + 2*v. Let l be q(2). Suppose -60 = -2*r + 4*s + l, 2*s = 4*r - 210. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 3*f**2 - f - 1. Let i = -58 + 82. Let v be (-5)\/15 + i\/(-9). Let g be r(v). Let n(a) = 6*a - 2. Calculate n(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*c - 4*m + 23, -m = -5*c + 13. Let x(d) = -2*d**2 + 4*d + 5. Let u(a) = a**2 - 2*a - 2. Let t(p) = c*x(p) + 7*u(p). Factor t(n).\nAnswer: (n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, t: 3, n: 9, v: 1, f: 1, u: 3}. What is prob of picking 1 n and 2 t?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -1) + 9 + 8 + -14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240580 divided by 460.\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 4*p + p)*(2 + 0 + 3) - p + 5*p - p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1284153\/74 - -17354. What is the common denominator of 13\/16 and s?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -0*x - 63. Solve -3*u - x = -4*o, -3*u - o - o - 19 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from {p: 4, x: 14}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/4))**(-7\/6)\/(c**(-12)*c\/(c**(-11)\/c)) assuming c is positive.\nAnswer: c**(-59\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 6*x - 4. Let t be d(8). Suppose t = o - 2*j, -2*o + j + 29 = -4. Solve 5*s - 2 - o = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 279.\nAnswer: -2\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -1) + 10 - (4 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**3 - 4*s**2 - 3*s. Let w(r) = 44*r**3 - 36*r**2 - 28*r. Let z(h) = 28*n(h) - 3*w(h). What is the third derivative of z(y) wrt y?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*s - 62, 9*x - 4*x + s - 88 = 0. Calculate the least common multiple of x and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 27472*s**2\/5 - 12078*s.\nAnswer: -2*s*(s - 2745)*(5*s - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11, -26, -41, -56, -71?\n\"Answer: -15*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-12 - -10) + -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 267?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h - 3*g - 7, 4*h + 11 = -5*g. Let w be (-8)\/(-1 - h) + -6. Let x be (-3 - (-214)\/6) + w\/(-6). What is the greatest common divisor of 132 and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29281, 58535, 87755, 116929, 146045, 175091, 204055, 232925?\n\"Answer: -2*d**3 - 5*d**2 + 29283*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21458*q**2 - 21458*q**2 + 4*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 179045924 to the power of 1\/3, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 14*c + 699. Give r(-48).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 3*v**2 - 3*v. Let z be r(2). Let i(y) = y**3 + y. Let o be i(z). Let g be (-4)\/o - (-6)\/(-15). Solve g = 2*q - 0*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**3 + 565*j**2 + 18851*j + 141. Give w(-145).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 10*m - 13*m**2 + 13*m - 7 + m**2 + 1. Let w be h(-8). Let q = -229 - w. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/303, -3, -38, 138 in increasing order.\nAnswer: -38, -3, 2\/303, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 184, 1183, 4 in descending order.\nAnswer: 1183, 184, 4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 20*d. Let c(m) = -83*m**2. What is c(t(l))?\nAnswer: -33200*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + (sqrt(1053) + 1 + sqrt(1053))*-4)**2 + 0.\nAnswer: 504*sqrt(13) + 51613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + z - 1. Let m be f(2). Let h be m\/2*(-12)\/(-9). Let y = h + 14. Calculate the highest common factor of y and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220422010 (base 6) to base 3.\nAnswer: 21102211211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -50819.3 to the nearest 100.\nAnswer: -50800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2016) + 1*sqrt(2016)*2))\/(1*-1*sqrt(7)*-1*-5).\nAnswer: -108*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 6. Suppose -5*w - 63351 = -f*w. Let p = w + 146351. What is p rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 795774 - 833971037\/1048. Let y = 2\/131 + r. Suppose 3*o - 12 = -3*k, -5*k + 1 = -2*o - 26. Which is smaller: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -120*p**3*v + 5*p**3 - 8220*p*v + 104267517*p + 4*v wrt v.\nAnswer: -120*p**3 - 8220*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024631177 to 6 dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -118475353 minus 0.0028?\nAnswer: -118475353.0028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -8472\/521?\nAnswer: -8472\/521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29082877 = j - 2*j. Let k = -1819396 + 436519. Let s = k - j. Round s to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300, 310, 320?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 183 = -3*l + 81, 82*p - 78*p = l + 49 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6551078159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -15*c**2 + 17*c + 16. Let p(l) = 7*l**2 - 8*l - 7. Let b(y) = 13*p(y) + 6*x(y). What is b(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 185*i.\nAnswer: -185*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 154\/19 - 37\/((-111)\/(-24))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8) + (-788)\/16. Let t = -34 - m. What is the remainder when t is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eseeese. What is prob of picking 2 e?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.01442264 - 0.06305\nAnswer: -0.07747264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.4 (b) 8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2 + 1. Suppose 10*n - 11*n = -l. Solve 0 + n = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23, 252, 867, 2060, 4023, 6948, 11027?\n\"Answer: 32*r**3 + r**2 + 2*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + 136. What is the greatest common divisor of 22 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -488 divided by 8.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-seven fifths of a century?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11865596*a*w**5 + 3*a*w**3 + 2*a*w**2 - 742*a*w + 2*a + 1786*w**2 - w - 2 wrt w.\nAnswer: -711935760*a*w**2 + 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 14*f + 10. Let k be p(0). Solve w + k = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2269*b - 15412. Give m(6).\nAnswer: -1798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*f + 718 = 146*f. Solve 0*x + 2\/5*x**3 + 2\/5*x**f + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 10010020010?\nAnswer: -10010012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -55544442 (base 7) in base 13?\nAnswer: -cc145b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-42)\/12)\/(2\/(-88)). What is the highest common divisor of d and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 2*o. Suppose -2*z - 2*z = 8. Suppose 5*t + 0 = -5. Let c(p) = p**2 - p - 1. Calculate t*a(b) + z*c(b).\nAnswer: -b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.8 in 95, 46.38, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (1*sqrt(200)\/sqrt(4) - sqrt(50)) - ((sqrt(4050)*1 - sqrt(50)) + sqrt(50)))\/((2*sqrt(80))\/(-1*sqrt(8) + sqrt(2))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25130831.\nAnswer: 11, 1171, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (7 + -4 - -4). Suppose 0 = 2*m - 22 + b. Suppose m*y - 13 - 8 = 0. Solve -z + 0 = -y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299.49024 months to decades.\nAnswer: 2.495752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2 + 18. Let k(t) = -t - 2. Let p be k(g). Suppose -p*n + 12 = -4. What is the least common multiple of n and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*u - 2960 = 11641 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194.937*479.8.\nAnswer: 93530.7726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -10, -5*u - 253 = -2*j - 241 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1271*q + 27775. Give o(23).\nAnswer: -1458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12912, 12925, 12938, 12951, 12964?\n\"Answer: 13*z + 12899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16722 - 355282*h**2 + 355431*h**2 + 16722.\nAnswer: 149*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6113, 5756, 5245, 4580, 3761?\n\"Answer: -77*v**2 - 126*v + 6316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 1057*n**6\/40 - 1136*n**3\/3 + n**2 - 6*n. Differentiate u(b) with respect to b.\nAnswer: 9513*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)*t*t*t*t\/((t**(5\/2)\/t*t*t)\/t)*t)**(1\/3)*((t\/t**0)**(-9\/8))**(-12) assuming t is positive.\nAnswer: t**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w - 2. Let i be k(-2). Let s be i\/30 - 439\/(-5). Suppose -7*u + s = -3*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.07 + 0.07. Let w = 184193 + -184194. Sort w, -0.5, -4, g.\nAnswer: g, -4, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -289 + 291.91. Let r = b - -0.09. What is the closest to -3 in r, 2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9353 + 14444. What is the highest common divisor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 7*c**2 + 8*c - 4. What is k(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-360 + 360 + 4*i**2)*(-28*i**2 - 11*i**2 + 55*i**2).\nAnswer: 64*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - (2 + -5 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.37 + -14.73. Let i = -15.1000053 - g. What is i rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-21)\/(36540\/10)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4\/19 - 860*u**3\/19 + 91446*u**2\/19 - 251388*u\/19 - 84240 = 0. Calculate u.\nAnswer: -3, 6, 180, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 144100.8.\nAnswer: -864604.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-455)*(-3341)\/5397.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1166*h - 6877. Calculate z(6).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000299923758 to seven dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2447*x + 1000. What are the prime factors of r(-13)?\nAnswer: 3, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 5*f**3 + 0*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (60\/27 - 2) + (-102)\/(-27). Suppose -14 = -3*q - n*q. Find the second derivative of 10*o + 7*o**3 - 7*o**3 + 7*o**3 - q*o**3 wrt o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2. Let z(a) = -6884*a. What is z(r(d))?\nAnswer: 6884*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-129650)\/96 - (-5)\/(-45)*-3. Let j = 1352 + n. Let r = -882\/5 - -1647\/10. Calculate the common denominator of r and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*k + 2*k - 14, -2*k = -2*z + 14. What are the prime factors of -2 - -8*(-2 + z)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 - 114 = -6*k. Let p = k + -10. Calculate the remainder when 116 is divided by p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 4. Let 2 + 3*x + 10*x**2 + t + 11*x = 0. Calculate x.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23108000 to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01698 times 2.1?\nAnswer: 0.035658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqq when three letters picked without replacement from {i: 1, q: 2, d: 1, u: 2, l: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b - 5. Let r be -10*(10\/(-12)*3 - -2). Let c(p) = 4*p + 6. What is r*n(x) + 4*c(x)?\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 1. Let g(p) = -p**3 + 5*p**2 + 3*p + 6. Let o be 2\/3*3\/2. Let f(n) = o*g(n) + 2*s(n). Give f(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144991138*x**4 + 2*x**2 + 12*x + 91546 wrt x?\nAnswer: 3479787312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -7284897 and -7284897 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -0.016, -6\/11?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/8 and -3\/9540232?\nAnswer: 9540232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 120986 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -162338462.5 and -5.8.\nAnswer: -162338468.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8836*n**2 - 8460*n + 2025.\nAnswer: (94*n - 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**3 + 111*y**4 - 18*y + 5 - 88*y**4 - 2 + 4 + 20*y to the form k*y**4 + r*y + a*y**3 + q*y**2 + u and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147863431 to the nearest integer?\nAnswer: 12160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 128\/90 + -1 - (-10)\/(2050\/(-41)). Factor -2\/9*a**4 + f*a**3 + 2\/9*a**2 - 2\/9*a + 0.\nAnswer: -2*a*(a - 1)**2*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4500000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfftb. Give prob of picking 1 b and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -11*p - 4. Let k(o) = -155*o - 55. Suppose 3*t = -4*b - 22, 18*t = 2*b + 15*t + 2. Give b*k(m) + 55*v(m).\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, z: 8}. What is prob of picking 2 a?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 16.6. Let o = -2.6 + z. Let n = o - -10. Is n at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 7:15 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = -3*c. Let z be c - ((-8)\/(-4) + -6). Let g(i) = -i**3 + 5*i**2 - 2*i + 3. Let b be g(z). Solve 5*r = -2*u - 35, -2*u + 4*u - 5*r = b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17241252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 281*p**2. Let m(b) = -b. What is m(q(r))?\nAnswer: -281*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 k when four letters picked without replacement from ycccldcdydkc?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17*21\/84*-4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -333 + 348, 5*n + 5*j = -45. What is the third smallest value in 11\/5, -49, n?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**4\/12 + u**3 - u**2\/2 - 95*u. Let z be 80\/14 + 6\/21. What is h(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0533 (b) -1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8505 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * -278658.\nAnswer: 445852.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**3 - 15*u**2 - 4*u + 4. Let g be (8\/(-6))\/((-6)\/(-18)). Is q(g) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220 (base 8) to base 3.\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 317101929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 4, -5 in decreasing order.\nAnswer: 22, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (1 - (-4 - -10 - (4 + 0))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 2. Let t(c) = 2*c - 3. Let j(x) = 3*h(x) + 2*t(x). Let i(q) = 19*q**2. Give j(i(u)).\nAnswer: -38*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Let n be 6 - 0 - -2 - x. Suppose n*v - a - a = 587, -2*a = 3*v - 365. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 2*x - x. Let v = 52 + -50. Let c(s) = 24*s**2 - 57*s**2 + 14*s**2 + 36*s**v. Calculate b(c(n)).\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/12 + (11 + -6 + 2)\/1?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8634967 decades?\nAnswer: 0.008634967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 5*x + 54 = 0, -3*o = 3*x + 103 - 85 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16901 times -0.13\nAnswer: -2197.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26367 and 3399?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42895*b + 20614*b + 22281*b + 3 + 2*b**3 - 3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**4 + x**4 + 4*x**4 + (-3*x + 1 - 1)*(7*x**2 + 7*x**3 - 7*x**2) + (-2*x**2 + 2 - 2)*(2*x - x - 24 + 15)*(-3*x - 2*x + 4*x).\nAnswer: -18*x**4 - 18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -241.7 times -1.9?\nAnswer: 459.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4918656 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -514 (base 14) to base 7\nAnswer: -2624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403426, 403553, 403678, 403801?\nAnswer: 403922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - p + 6, -9 = -2*c - 4*p - 1. Suppose 0 = -y - 0*y + 3. Suppose 0*v = y*v. Solve v - c = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1534 - -1536. Solve i*k + 99 = 93 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oos?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 30640 = 4*k, -6*k + a = -4*k - 15332. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 5*h + 2*h)*(1 + 0 - 6)*(-2*h**2 - h + h).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1111 + -30?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/1 + (-4 - -2). Let m(y) = 2*y**2 + 6 - 3*y**2 - y - g*y - 4*y. What is the lowest common multiple of 12 and m(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 524*j**2. Let h(p) = 16630*p**2. What is h(n(g))?\nAnswer: 4566198880*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19533201 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -633226, -633214, -633202, -633190, -633178, -633166?\n\"Answer: 12*h - 633238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-52)\/14 - 4\/14. Suppose 0 = -h + 17 + 1. Let o be (-1 + 15\/h)*-1. Which is the second smallest value? (a) o (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*c + 6*c + 4*r, r - 10 = -2*c. What is the highest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 301 - 267. Let f(j) = 2*j - 28. What is the remainder when g is divided by f(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b**2 + 3*b + 2. Let n(m) = 25*m**2 - 10*m - 5. Calculate 2*n(u) + 7*v(u).\nAnswer: -6*u**2 + u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 457194 and 10764.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1078 - 1083. What is the closest to 26 in -0.5, -6, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854900 is divided by 213696?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.33837 minutes in microseconds?\nAnswer: 80302200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1801*y**4 - y + 19 - 1791*y**4 + 2*y**2 - 16 to m*y**3 + r*y + b*y**2 + c*y**4 + o and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.17 (b) -2 (c) -259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -853 and 5.\nAnswer: -4265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0.2. Let v = -659 - -658.66. Let b = v - -0.64. Sort 2, 0.5, z, b in decreasing order.\nAnswer: 2, 0.5, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 5\/123 (c) 3 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 + 26*j**2\/7 + 8*j\/7 - 104\/7.\nAnswer: -2*(j - 13)*(j - 2)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -46*o**3 - 2*o**2 - 2*o. Let z(x) = -735*x**3 - 33*x**2 - 33*x. Calculate 33*m(j) - 2*z(j).\nAnswer: -48*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8316652879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4632*t**3 - 22886*t**2 + 713871487*t wrt t.\nAnswer: -27792*t - 45772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 817?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.9456109 rounded to 3 dps?\nAnswer: -6.946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 20 - (-3 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1006, 1, 33352 in ascending order.\nAnswer: 1, 1006, 33352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j - 129 = 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3280208 is divided by 600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13638067 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + -2*(3*(-3*sqrt(68))**2 + sqrt(68) + 5) + -2.\nAnswer: -3683 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/19))**(-18))**(25\/4) assuming f is positive.\nAnswer: f**(-675\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/420 and 145\/222.\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72\/(-132)*11 + (0 + 0 - -103). Solve 4*y - 105 = -o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199\/10464 + -4\/327. Sort v, -1\/5, -1\/8 in increasing order.\nAnswer: -1\/5, -1\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c\/c**(-1\/2))\/c)\/c)\/c*c**(-38)*c*c)\/((c*(c*c**(-19\/6))\/c)\/c)**29)**(-22) assuming c is positive.\nAnswer: c**(-3586\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by 40?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/4432 and 44\/85.\nAnswer: 376720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 7*m**2 + 5*m - 5. Let g be v(-6). Let t = 4 - g. Is t greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*u = 8, 2*c = -3*u + 8 - 22. Let i be 12\/16*c\/6. What is the nearest to 1\/4 in 0.3, i, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**2)\/(v**(1\/11)*v)*v**(3\/4)\/v*v**(2\/3) assuming v is positive.\nAnswer: v**(307\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 10*h + 19. Let q = -35 - -25. Let b be j(q). Solve 5 = -4*r + 2*a - a, -b = 5*r + 3*a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + -5 + 0 - (-134 + 99)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 9:57 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 - (-33)\/9. Suppose f = h*f. Suppose -4*o + 2*o + 96000 = f. Round o to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 23 = -7. Let x be ((-8)\/w)\/((-2)\/9). Solve -4*m - x = -22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 11*p - 1652 = 380. Solve 3 = b - 5*x, -3*x = -4*b + 503 - p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.05, 5, -1, 1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c - 51. Let h be (-33)\/c + (2 - 1). Let r = h + -88\/153. What is the closest to r in -1, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -c - 4 + 11, -3*p + 5*c + 43 = 0. Solve 2*b - 20 = p*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**5\/30 - 2*i**2 + 5. Let v(g) = 106*g. Give v(t(p)).\nAnswer: -212*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157 + 1074. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -5\/2 (b) -1\/6 (c) -2\/3 (d) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11866?\nAnswer: 2, 17, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - l - 5 - 32, -3*o - 3*l - 3026 + 3011 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40331582?\nAnswer: 2, 17, 1013, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 283 and 6797377.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**2 - 2. Suppose 13 = 8*h - 3. Let y(d) = -19 - 16 - 4*d**h + 13*d**2 + 31. Let x(j) = -3*y(j) + 5*z(j). Let q(s) = -2*s. Calculate x(q(o)).\nAnswer: -8*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - g**3 - g**2)*(-1604*g**2 + 2290*g**2 - 3926*g**2 - 2588*g**2 - 2494*g**2).\nAnswer: 8322*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.27253 rounded to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 1:07 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 11002110?\nAnswer: 11002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 1:37 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 615 a factor of 173400480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i**2 - 11*i - 7. Let k(h) = 6*h**2 + 12*h + 7. Let p(n) = 4*k(n) + 5*m(n). Let z(w) be the first derivative of p(w). Is z(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59675796?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, -0.2, -0.13, 0.7, -0.1 in decreasing order.\nAnswer: 129, 0.7, -0.1, -0.13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(3\/30*10*8). Which is the third biggest value? (a) r (b) -0.5 (c) 3 (d) -0.03 (e) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176898808*a**3*v**2 + 4*a**3 + 24069200*a**2*v wrt v?\nAnswer: -353797616*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 779\/114 + (2*1)\/12. Suppose 2*p = 1 + m. Suppose 0 = -p*r + h + 47203, 2*r = 3*h - 5*h + 23594. What is r rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 12) + (-4 + -6 - -18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 703765 != 703831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Suppose 24 = 2*l + 4*l. Suppose -l*i - i + 35 = 0. Suppose 1 = -o - 5*w - i, -3*o - 11 = 2*w. What is j(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2. Let k be (-501)\/(-15) + 14\/(-35). Suppose 3*b = -0*b + k. Let i(s) = -11*s + 10*s - b*s. Determine i(o(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20341*d**2 - 6606 wrt d.\nAnswer: -40682*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*x + 4*x + 12*x + 163*x.\nAnswer: 266*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-157 + 166 - (20 - 1)) + -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8*h - 19. Calculate the remainder when 60 is divided by c(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 2. Let b(x) = -1. Let l(i) = 6*b(i) + 3*o(i). Let k(p) = 3*p**2. Determine l(k(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.148272 litres in millilitres?\nAnswer: 4148.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c*(c*c\/((c*c**(9\/2)*c)\/c))\/c)*c*c*c\/c**13*((c\/(c\/((c\/(c*c\/(c**18*c))*c*c)\/c)))\/c)\/(c\/(c**(-24)*c)*c*c) assuming c is positive.\nAnswer: c**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + 0 + (5 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57.93 - 55.7. Let l = s + -1.73. Which is the second biggest value? (a) -2.2 (b) -0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 130199, 520904, 1172069, 2083700, 3255803, 4688384, 6381449?\n\"Answer: l**3 + 130224*l**2 + 26*l - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 595.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 3*x - 141 = 2*b, 145 = 4*b - x. What is the highest common divisor of b and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 132 = -8. Let h = v - -15. Is (-12685)\/h - 3\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1056 and 50503332?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1407, -1444, -1497, -1572, -1675, -1812, -1989?\nAnswer: -2212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + 4. Let g = 4 - w. Does 7 divide g\/(-12) - 58\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d**(4\/11)*d*d)\/d*d))**13)**(1\/17))**(-2\/73) assuming d is positive.\nAnswer: d**(390\/13651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 28 = -4*p, 64*x = 3*p + 69*x + 19 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 326793 <= 21241611\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1105 and 65.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -11*v - 10. Let f(o) = -12*o - 11. Determine -6*f(a) + 7*g(a).\nAnswer: -5*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232397*m + 0*m**3 + 35298*m + 6*m**3 - 9*m**3.\nAnswer: -3*m**3 + 267695*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/(-72) + 4\/21. What is the closest to 1 in b, -2, 0.04?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-25 - -11) - (-12 - (1 + -6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 122454 divided by 2\nAnswer: 61227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 5*k + 49. Let h be y(-14). Let z = -212 - h. What is the highest common divisor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - 135. Let m = -63 - i. What is the remainder when 206 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + b + 2. Let k be d(0). Let s be (-1 + k)\/(8\/32). Suppose -5*a = -3*a - 4. Solve s*q + 4 = a*i, 2*i - 15 = -3*q - i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71698*m**2*o + 134*m**2 - 66*m*o + 11*m + 1199 wrt o?\nAnswer: 71698*m**2 - 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3290 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 5 (c) -4 (d) 3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4 + 1. Suppose -2*v + 23 = -5*u, -v = 4*u - 3*u - c. Suppose v*w = 2*w + 12. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 155.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136524 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 8) + (-1 - -3) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51952 is divided by 16628.\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221827, 887413, 1996757, 3549859, 5546719, 7987337?\nAnswer: 10871713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 5*x + 2. Let y be a(3). Suppose 3*s + 42 = y*u + 113, u + 72 = 4*s. What is the greatest common factor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) + (-34)\/24. Let w = 389 + -386. What is the closest to p in -0.2, w, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/4 + 1\/4. Let o = -12 + 13. Which is the closest to k? (a) 0.4 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*(f**(-12)*f)\/f*f)**(-3\/16)*(f**(2\/7))**(18\/7) assuming f is positive.\nAnswer: f**(219\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + 37. Let o = 112 + -105. What is the smallest common multiple of v(o) and 22?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 930610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7986 divided by -11.\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3379)\/(-434) + 3060\/(-714)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fufiqlluiqqq. What is prob of sequence flf?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c0de1a + 2?\nAnswer: c0de1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/((-616)\/(-32)) + 102\/(-42). Let v = 0 + 1. Put z, -5, v in decreasing order.\nAnswer: v, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*v - 13. Suppose -3*l + 17 = 4*k, -3*l = 3*k - 7 - 8. Suppose -2*x = 2*x - k*c - 110, -4*x - c = -107. Solve x = v*i + 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/28 + 2\/7. Suppose -12 = 4*w - 7*w. Put -3, j, w in descending order.\nAnswer: w, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*c - 1)*(-c + 142*c**3 + 4*c**2 + 2*c**2 - 145*c**3) in the form s + m*c**3 + l*c**2 + u*c**4 + n*c and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48390 and 1380?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b - 122 = 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 95 = -2*w, 4*l + 0*w = -2*w + 330. Suppose 0 = -2*a + 7*a - l. Calculate the remainder when a is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12284, -24636, -36988, -49340, -61692?\nAnswer: -74044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 12:16 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 103267459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/10)*(c\/(c\/c**(-2)*c)*c)\/c assuming c is positive.\nAnswer: c**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -d - 3, 2*h + 0 = -2*d + 6. Let x(t) = -2*t**3 + t**2 - t. Give x(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3426.66578 rounded to 1 dp?\nAnswer: -3426.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 12.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**2 + 17337*i + 17340*i - 52025*i + 17348*i.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*c**3*d + 2*c**3*g - 120*c**2*g + 17*d*g wrt d.\nAnswer: 11*c**3 + 17*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*u + 1, 3*u + 2*o - 29 = 4*o. Let l = -5 + u. Let m(x) = -2*x**2 + 3*x**2 + 6*x**l. Let c(d) = -2*d. What is m(c(r))?\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19874 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2937499 + -4?\nAnswer: -2937503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**3\/3 + 8*c**2\/3 + 140*c\/3 = 0.\nAnswer: -5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -66372, -136767, -207162, -277557, -347952?\n\"Answer: -70395*g + 4023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b + 42 - 42)*(3*b - 2*b**2 - 3*b) + (-2*b - b + b)*(2*b**2 + 2*b - 2*b) - b**3 - 2*b**3 + 2*b**3 - b**3 + 0*b**3 + 3*b**3.\nAnswer: -19*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37699*i - 41087*i + 180057*i.\nAnswer: 176669*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7574*y - 5491*y - 24993 = 133315 for y.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 326*g + 1069. Let u be s(-4). Suppose -1081 = -3*h + 131. Let r = h + u. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 77?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/4 and 37\/1047034050.\nAnswer: 2094068100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6216*k + 55 = 6221*k. Calculate the remainder when 2980 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10\/207 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3534 or 8.1?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -919*v + 7678. Give b(9).\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c. Let b(h) = 0 + 2 - 2 + 3*h. What is b(j(l))?\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**3*k**3*u**3 + 22782*j**2*k**3*u - 8*j*k**2*u**3 + 69*j*u - 12*k**3*u**3 wrt j.\nAnswer: -6*j*k**3*u**3 + 45564*k**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 1, 4 in ascending order.\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2737\/11 - -249. Let n be (-189)\/(-14)*(0 + -6). Let w = 727\/9 + n. What is the third smallest value in -0.1, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -33, -5, 185 in increasing order.\nAnswer: -33, -5, -4, 0, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58\/157 or -1?\nAnswer: 58\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - p**2 - p. Let k(z) = -908*z**3 + 1135*z**2 + 1135*z. Calculate 1135*g(h) + k(h).\nAnswer: 227*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163802762 to the nearest integer?\nAnswer: 12799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n - 4. Let k be w(-6). Suppose 3*y - k = -y. Solve 1 - y = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 24.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 167760 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7758902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 3:37 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 0 + 2)*(-4 - 3*b + 4) + 0*b - 3*b + 4*b)*(-6*b**2 - 5*b**2 - b**2) + (0*b - 3*b + b)*(-3 - b**2 + 3).\nAnswer: -118*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*i = 182*i - 860. What is the first derivative of -53*s - 13*s - i*s + 120 - 370 - 122*s wrt s?\nAnswer: -274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1803484344.\nAnswer: 2, 3, 75145181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -103\/13?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/9 + (-11)\/(-21). Which is the third smallest value? (a) d (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -43174366 from -8460.\nAnswer: 43165906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -120*d**3 - 261*d**3 - 708*d - 28*d**3 - 320*d**3 wrt d.\nAnswer: -4374*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 8*z**2 - 18*z - 17. Let t be n(10). Solve f = t*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44119 + -17673. List the prime factors of v.\nAnswer: 2, 7, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5619*h + 848516. Give a(-151).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) 2030 (c) 0.19 (d) 0.17 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 - n**2 - 3*n**2)*(-17*n**2 - 1 + 13*n**2 + 6*n**2).\nAnswer: -18*n**4 + 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-4)\/(7 + 192\/(-36))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15428?\nAnswer: 2, 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/14 - (-161)\/(-196). Suppose 4*i + 0*i = 0. Is i < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + (-21 + 3 - 20).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 652.0081t to grams.\nAnswer: 652008100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3826917 and -2.\nAnswer: -7653834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14c3b (base 16) to base 15.\nAnswer: 1a301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.66 + -0.8\nAnswer: -1.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*q**4 + 2*q**3 - 1050622*q + 303949210 wrt q.\nAnswer: -48*q**3 + 6*q**2 - 1050622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17252.1985 rounded to the nearest one hundred?\nAnswer: -17300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*-1*-1*sqrt(84))\/((sqrt(120) + ((sqrt(120) + (sqrt(120)*-1 - sqrt(120)))*5 - sqrt(120)))\/sqrt(10)*5).\nAnswer: 6*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26515 divided by 23.\nAnswer: 26515\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23839817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -910.63 + 902. Let m = s - -6.63. Put m, 4, 3\/4, 5 in ascending order.\nAnswer: m, 3\/4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 a factor of 937035415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*q - 90. Let g = q - 17. Let i(l) = l**3 - 2*l**2 - 5*l + 6. What is the remainder when i(4) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 2. Let x(m) = -m**2 + 9*m + 8. Let j be x(9). Let i = j + -18. Let v be ((-12)\/i)\/(1\/(-5)). Give u(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 0*x**2 + 1\/120*x**5 + 0*x + 1 + 1\/24*x**4 - 1\/3*x**3. Let u(j) be the third derivative of n(j). Differentiate u(r) wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**2 - 5051*f + 429888. Calculate p(623).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 193*q**2 + 193*q**2 + 1547*q - 2785*q + 1238*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.442 - -0.058. Let p = 1.3 - j. Sort 5\/3, p, -3 in decreasing order.\nAnswer: 5\/3, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 18*o**2 - 3. Is t(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -6.7, 19, 1\/5 in decreasing order.\nAnswer: 19, 0.5, 1\/5, -6.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 + 29*k. Determine z(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 - 37011*z**3 + 37011*z**3 - 73)*(0 + 1 + 2)*(-4 + 3 + 2)*(-6 - 2 + 5).\nAnswer: -18*z**4 + 657","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + 1.6. Let j(f) = -f + 14. Let v be j(8). Let c be (-2)\/(-6) + v\/(-14). Sort 3, c, g in descending order.\nAnswer: 3, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.139 - -0.039. Let g = -32\/9 - -37\/18. Let s = 3064\/5 - 614. What is the fourth smallest value in g, i, -1\/6, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 14*w + 4*w**2 + 5*w**3 - 3*w**2 - 3*w**3 in the form n*w**3 + r + a*w**2 + k*w and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o + 10, 4*o - 29 = -3*p. Suppose -132 = -p*g + 42. Let m = 94 - g. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 76 (b) -51 (c) 2 (d) 8\/5 (e) 4 (f) -5 (g) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/5 - 16*z**3 + 559*z**2\/5 - 338*z\/5.\nAnswer: z*(z - 13)**2*(3*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxw when three letters picked without replacement from {d: 1, w: 5, x: 2, y: 1, r: 4, e: 2}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11221492*n**3 - 2984*n + 1242.\nAnswer: 67328952*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 144, -4, 0.4, 1665?\nAnswer: 1665","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -eef + -1?\nAnswer: -ef0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 + -5.11. Let x = -53210 + 53201. Sort x, l, -0.1 in ascending order.\nAnswer: x, l, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5543325.\nAnswer: 3, 5, 71, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -273*z - 4. Is d(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 29.\nAnswer: 7\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 3:12 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 16. Let b be g(-14). What is the greatest common factor of 22 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 times -0.2?\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19438.308 minutes in days?\nAnswer: 13.498825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104021 (base 6) to base 7.\nAnswer: -34141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 302, 1, 5483, 3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 68\/2 - (1 - -1). Suppose 4*r = -0*r + b. Let h = -5 + r. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - 3\/(-3))*39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127479 - 127479 - 14*l**2.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - (-6 - -9) - -8) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + v + 5*m - 70, 4*m = -v + 29. Suppose 3*b - 29 = j, j + 2*j + v = -5*b. Let q = j + 35. Round q to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - 4 + 11)*(0 + 2*g + 0 + (-1 + 2 - 3)*(-2*g - 2*g + 2*g) + 1 - 1 - g - 3*g + 0*g + 0*g) as d*g + s and give d.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2. Suppose -m = -2*m + 5. Let x(l) = -5 + l + m. Give x(h(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 0.1. What is the biggest value in c, 3, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6600\/(-125) + 55)\/(1\/5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**6\/10 - 2*w**5 + 5*w**4\/4 - 3*w**2\/2 - 35*w - 6. What is the third derivative of x(u) wrt u?\nAnswer: 72*u - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = x - 0*x - 5, -3*f - 3*x + 3 = 0. Suppose f = -5*s + 11. Let k be ((-8)\/1)\/(14\/(-28)). What is the highest common factor of k and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -1 + 38 - 37\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 11*z + 3. Let l be h(11). Solve 4*t = -l - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**6\/360 - r**4\/12 + r. Let f(d) be the third derivative of h(d). Let q(k) = -5*k**2 - 19 + 4*k**2 + 19. Give q(f(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/19 + -31\/76. What is the closest to v in 2, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**2 - 3*i**2 + i**2)*(-1 + 5 + 3) + 2*i**2 - i**2 + 2*i**2 to d + o*i + y*i**2 and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40, -27, -14, -1, 12?\n\"Answer: 13*r - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h + 432 + 36 = 0. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three sixteenths of a minute?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -39601918?\nAnswer: -39601917.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17595 and 1121319?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -bb28 - 1?\nAnswer: -bb29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*r**3 - 5*r**2 + 44*r - 12.\nAnswer: -(r - 2)*(r + 3)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 12 = 2*d, d + 1696 = v + 1704 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120890605.\nAnswer: 5, 11, 2198011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -737 + 6*x**3 + 58 - 3*x**3.\nAnswer: 3*x**3 - 679","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 14*p - 11*l, 1653 - 1676 = -2*p - 3*l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/2 + 42945*l + 614757675\/2.\nAnswer: 3*(l + 14315)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Suppose -u + o = -6. What is the units digit of (-9)\/12 - (-46)\/u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -571 + 575. Sort 9, -3, q, -4 in decreasing order.\nAnswer: 9, q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51205002 (base 6) in base 10?\nAnswer: 1462970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.23. Let r = -7.03 + g. Let b = 5 + r. Sort -5, 3, b in decreasing order.\nAnswer: 3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26a94 (base 12) to base 15.\nAnswer: 10c47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*k - 5. Let a = -31 + 33. Solve 0 = l + l + 4*u - 12, a*u - 6 = k*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)\/(q**(-5\/4)*q)*q**(-2\/15)*q**2)\/(q**(-2\/5)\/(q*q\/(q*q\/(q**(-1\/5)*q)*q)))**33 assuming q is positive.\nAnswer: q**(403\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*c*h**3 - 66436*a*c*h - 2*a*c - 15*a*h**3 + 24*a*h**2 - 970230*h**3 wrt h.\nAnswer: 6*a*c - 90*a - 5821380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164634 and 906?\nAnswer: 24859734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21063 less than -11.36504?\nAnswer: -11.15441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 - 7*c + 4. What is t(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence caz when three letters picked without replacement from {c: 5, a: 3, z: 4, u: 3, x: 1, s: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 245070281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42947 is divided by 8566.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 f, and 1 z when four letters picked without replacement from wbfbeeeevzebv?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3993*c**3\/7 + 1140*c**2 + 3981*c\/7 - 6\/7 = 0.\nAnswer: -1, 2\/1331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -161, -145, -127, -107, -85?\n\"Answer: y**2 + 13*y - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 - 362?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28165 divided by 90.\nAnswer: -5633\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4 + 73514*f**3 + 5575658*f**2 + 5355126*f - 11004300 = 0. Calculate f.\nAnswer: -36681, -75, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*c**2 - 21*c**2 - 19*c**2 - 5 - 15*c**2 - 26*c**2 as n*c**2 + m + y*c and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2 - 15240*g - 76225 = 0.\nAnswer: -5, 15245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24462533 + 4?\nAnswer: -24462526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20678 and 6370?\nAnswer: 1344070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 30*d = -25*d + 1, 0 = -3*h + d + 77. Solve -4*y = -4*z - h, 2*z + 0 = -3*y + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3*j = 4*b + 7, -3*j = 4*b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/10356 and 71\/1518336.\nAnswer: 1310323968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*y, -q + 4*y = -y - 8. Let i(h) = 4*h - 4. Let l(c) = 19*c - 21. Let b be ((-33)\/9)\/(9\/(-27)). What is b*i(a) + q*l(a)?\nAnswer: 6*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-3)*-6*2400\/1920?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/10)*w**(-4\/7))**(-17)\/(w*w**(2\/7)*w*w**(5\/2)*w**(3\/2)\/((w*((w*w*(w*w\/((w*w**5*w)\/w*w))\/w*w)\/w)\/w)\/w)) assuming w is positive.\nAnswer: w**(-229\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/sqrt(4))\/sqrt(2))\/(sqrt(200)*2) + (0 + 3*sqrt(5) - (sqrt(45)\/sqrt(9) + -1)).\nAnswer: 1 + 41*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 6:44 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550)\/(sqrt(10) + sqrt(70)\/sqrt(7)))\/((sqrt(30)*-1)\/sqrt(6)))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*k + 8*k + 24 - 24)*(-2*k + 6*k**3 - 29*k**3 + 14*k**3).\nAnswer: -387*k**4 - 86*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3\/2 - 21*k**2\/2 - 25*k\/2 + 525\/2 = 0.\nAnswer: -5, 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -4584?\nAnswer: -3208.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 284, 523, 722, 881, 1000, 1079?\n\"Answer: -20*k**2 + 299*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2. Let o(w) = -60216050*w**2. Give o(i(l)).\nAnswer: -60216050*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106729 by 9.\nAnswer: -106729\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-126)\/(-27)) + (-4)\/(-8).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -31. Let o = -13 + a. Let x = o - -8. Solve x*l = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**2 + 15*d + 1. Let s be u(7). Let i(m) = -2*m**2 - 1. What is i(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2*y + 20. What is the tens digit of (-2)\/y + 186\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n - 3. Let u(m) = -m - 1. Let f(b) = 13*u(b) - 6*x(b). Let a(t) = 1. Give -11*a(p) + 2*f(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139033 + 83898. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**5\/11 - 46*f**4 - 2914*f**3\/11 + 12314*f**2\/11 - 8892*f\/11 = 0.\nAnswer: -247, -9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 18*i**2 + 35*i - 700. Determine s(18).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00029367339 rounded to 6 decimal places?\nAnswer: -0.000294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 12252339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 1, -74, -221, -464, -827, -1334?\nAnswer: -2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201 is divided by 244?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-422310)\/8044*(-22)\/15.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9520100 and 313242.\nAnswer: 6142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1179 - -1232. Solve 57 = -v + g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + (-21)\/6)*-6. Suppose 2*a = 2*y - 2*a - 12, 0 = b*y + 3*a - 9. Let m be -3 - (0 - (-1 + 1)). Put y, m, 5 in decreasing order.\nAnswer: 5, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*(h\/h**(-39)*h)\/h*h*h)\/h*h*h))**(1\/4)\/((h*h\/(h*h\/h**(2\/37))*h)\/h*(h*h*h*h\/(h*h**(-35)*h))\/h) assuming h is positive.\nAnswer: h**(-6927\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-10)\/3*108\/(-45) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 12:31 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-220)\/198*(267\/15 - 13)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.067 to two dps.\nAnswer: 1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.1 + 12.148. Let g(l) = l**2 + 1. Let h be g(0). Which is the second smallest value? (a) -0.1 (b) n (c) -2\/11 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**3 - 2*r**2 + 2*r - 1. Let d be -4*(2 + (-10)\/4). Suppose -d*t = -5*t + 3. Let l be i(t). Solve -o - 12 = l*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5813202 is divided by 50993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -279 - -280.1. Let w = 0.1 - 0. Which is the third smallest value? (a) y (b) 1\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -13. Suppose -15 - z = 5*g. Let n be 1\/(-2)*(g - -2). Solve i - 2 - n = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 167913 and 8181.\nAnswer: 16959213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2967576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/20*-2)\/((-284)\/1420)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p + 8. Let i(h) = 2*h + 4. Suppose -v - 3 - 3 = b, 3*v = 15. What is b*i(y) + 6*k(y)?\nAnswer: -4*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 + -0.28. Let y = h + 0.23. Which is the closest to y? (a) 5 (b) 0.4 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 20*s**2 + 17*s + 28. Calculate u(19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49652.\nAnswer: 2, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1670097 (base 10) to base 12\nAnswer: 6865a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6651954*l**5 - 2*l**2 - 2*l - 2540261 wrt l?\nAnswer: 399117240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385285.\nAnswer: 5, 11, 89, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 36957*a**3 + 2*a.\nAnswer: 36957*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 216? (a) 2 (b) -3 (c) 146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -2. Suppose -s = 0, -2*y + 0*s = 2*s - 16. Suppose 0 = -y*g + 3*g - 5. Sort g, h, -7 in descending order.\nAnswer: g, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, l: 10}. What is prob of sequence lel?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -626, -5231, -17730, -42071, -82202, -142071?\nAnswer: -225626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 464, 1035, 1846, 2897?\nAnswer: 4188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1367*l + 70056 = 1506*l. What is the greatest common divisor of l and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (604\/6*60\/(-40))\/1*-308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 503*w**4 + w**2 + 21878*w wrt w?\nAnswer: 6036*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 40 = -4*o. Let j = o - -26. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14905 rounded to the nearest one hundred?\nAnswer: -14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 1. Let p be b(3). Suppose -2*x + 10 = -j, 2 = -p*x + 12. Solve -5*k - 4 = -4*f - 5, -4*f - 2*k - 22 = j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2)\/(2*12\/72)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 1. Let p = -10 - -19. Suppose -15 = 4*k + p. What is the units digit of i(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 3 + 3 + (4*b - 3*b + b)*(-4*b + 4*b + 2*b) + 2*b**2 + 5*b**2 - 2*b**2 + 0*b**2 - 2*b**2 + b**2)*(-2*b**3 + 0*b + 0*b).\nAnswer: -18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2020353*o - o**4 + 2020368*o - 6*o**2 - o**3 + 3*o**2 in the form f*o**4 + s*o**3 + q*o + j*o**2 + v and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28 and 127777.\nAnswer: 3577756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n + 16. Let q be z(-4). Suppose 3*y = -p + 1, -y - 5*p + 17 = -q*p. Solve y*h + 18 = -5*l + l, 0 = 4*l + h + 19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -3128?\nAnswer: 3126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 15. Suppose w*j - 4*j = -6. What are the prime factors of -1 + (-926)\/(-10) - j\/15?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955645 is divided by 72.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-9)*11)\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3490128 * -4.\nAnswer: 13960512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168642.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 7:23 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.27?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -16.4\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/(-3) + 5\/((-10)\/4). Let i be 88\/(0 + -4) + 1. Let o = c - i. Solve -2*p - o = 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 258.\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -25395b (base 13) to base 10\nAnswer: -893579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10586\/(-1340) - -3)*4\/(-7)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from frnnjfnnjrwnnnnnnnnf?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6316*u**3 + 5387*u**3 + 10679*u**3 - 3041*u**3 - 3734*u**3.\nAnswer: 15607*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 614, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -1. Suppose 0 = 3*d - o*k - 350, -2*d = d + 4*k - 358. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 2*c. Let z be n(-3). Suppose -4*b - 28 = -2*p, 5*p + z = -b - 4. Let i = 13 + b. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (56 - -2) + -208 + 169\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-4 + -12 - 10)) + -59\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -774 - -839. Which is the biggest value? (a) 5 (b) -0.1 (c) 4\/7 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5054 and 392768?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k, 0 = -3*j + 2*j - 4*k. Suppose 2*c + 2 - 16 = j. Suppose 0 = 13*i - c*i - 156. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+234630\nAnswer: 234630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 87423949 > 87423948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.36*4.05.\nAnswer: -1.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14680*w + 402 + 5948 = 14553*w for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17284*g + 3612*g - 98 + 98.\nAnswer: -13672*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-6384)\/25270*(-15)\/(-12)*1\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.36972648 rounded to three decimal places?\nAnswer: -2.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 509 - 554. Let k = -42 - w. Solve -t + 19 = -k*d, 0*t + 4*t = -4*d - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m + 20. Let k(l) = 3*l - 10. Let c(h) = -2*f(h) - 5*k(h). What is the units digit of c(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 4. Let c(b) = 3*b + 12. Let u(h) = 4*h + 12. Let v(j) = -7*c(j) + 6*u(j). Let t(r) = -8*g(r) - 3*v(r). Calculate t(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (8 + 1 - (-5 - (0 + 26)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10302 > -10305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2200332 (base 4) to base 7.\nAnswer: 42015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 2. What is h(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124552*l**3 - 116*l**2 - 251760*l + 48 wrt l?\nAnswer: -747312*l - 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 35. Let i = -39 - -177. Let a = i - 86. What is the remainder when a is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {p: 2, z: 1, l: 2, f: 1, y: 1, x: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 6*l + 6. Let c be j(-6). Suppose -12 = 4*u, 0 = -g + 4*u + u - 18. Let k be 40\/22 + 1\/(g\/(-6)). Solve k*t - z + 2 = -c, 9 = -5*t - 3*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2790062 by 5.\nAnswer: 2790062\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.47 and 19?\nAnswer: 17.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2553 = 7*b - 1822 - 784. Calculate the highest common factor of b and 2077.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -9. Suppose 0 = -4*t + 3*x + 5, t + 8 + 2 = 3*x. Solve -3*z - l = -3*h + 5, -3*z = -t*h + 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2016*r**3 - 1244*r**3 + 122913*r**3 + 109447*r**3 + 58277*r**3.\nAnswer: 287377*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1688 is divided by 61.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from iripiriri.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000084067427 rounded to 6 decimal places?\nAnswer: -0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/1)\/((-3)\/2). Calculate the greatest common factor of c and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 8. Let t(z) = 1. Let r(i) = a(i) + 2*t(i). Let l be r(-4). Let v(g) = -3*g**3 + g**2 - 2*g. List the prime factors of v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(2*f**5 + 3*f**5 - 4*f**5) + f**4 + 2*f**5 - f**4 + 3*f**5 + f**2 - f**2.\nAnswer: 6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**2\/2 + 7*s - 304. Suppose 0*x + 144 = 4*x. Let g = -50 + x. Let c(o) = -1. Give g*c(d) - 2*n(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-323)\/(-2)*4924\/20927\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3\/7 - 974*z**2\/7 + 17936*z - 1670880\/7 = 0.\nAnswer: 15, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128261?\nAnswer: 7, 73, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -30. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 7:10 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 7:37 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*t - 40 = -52, -4*i - 6*t = 36. Solve l**3 + 1\/2*l**4 + 1\/2*l**2 + 0 + i*l = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x**3 - x**2 - 6*x. Let i(a) = -11*a**3 + 3*a**2 + 12*a. Give 3*i(v) + 7*q(v).\nAnswer: 2*v**3 + 2*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as 0.2688054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -2*n - 2*g - 2*g, -2*n - 49*g + 26*g + 20*g - 38 = 0 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 9*h**2 - 10*h + 2. Let d be q(10). Let r(i) = 4*i**2 + 5*i**d - 9*i**2 + 4 - i**2 - 6*i. Calculate r(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 2, 108 in descending order.\nAnswer: 108, 16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 37610.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 1\/5 (c) 0.105 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 11:06 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 3)*(0*s + s - 2*s)*(-666 - 43*s + 666) to p*s + v*s**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 484574727*b*s**3 - 4*b*s**2 + 5*b*s - 9*b + 3*s**2 - 14*s + 43 wrt s?\nAnswer: 2907448362*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -1) + 4 - (-4 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-87)\/(-12) + (-3)\/12. Let a be (-6)\/(-8) + j\/((-112)\/(-100)). Suppose -14*v + 35 = -a*v. Solve 0 = -4*i + 2*x - 22, 2*x + 8 = -i + v*x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + j - 73, -5*k - 4*j = -34 - 150. Let p be 1*2*38\/(-4). Let q = k + p. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 889 is divided by -1 + (-8)\/(-10) - 30916\/(-655)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -14993002*l**2 + 44*l - 42. Let q be h(1). Round q to the nearest one hundred thousand.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1175 or 53737.6?\nAnswer: 2\/1175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -17. Put 7, x, 1, 3 in descending order.\nAnswer: 7, 3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.36 + -0.04. Let k = d + 0.2. Let n be (-1)\/(11\/24) - -2. Sort n, -3, k in increasing order.\nAnswer: -3, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1499898 divided by 6.\nAnswer: 249983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1500 - -2620. Suppose p + c = 4*n - 1149, 3*n = 4*p + 1718. Suppose 140 = 2*h - 4*w, -n = -5*h - w - 205. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1403162 to 4 dps.\nAnswer: -0.1403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36, -51, -76, -111, -156?\n\"Answer: -5*s**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -103423, -206823, -310223?\n\"Answer: -103400*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*f**4 - 635*f**2 - 2002110 with respect to f.\nAnswer: -80*f**3 - 1270*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**4\/24 - 2*n**3\/3 + 3*n**2. Let v be m(-3). Let c = v + 4. What is the greatest common factor of c and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 352 = -388. Suppose 4*m = z + 2040, -2*z - 517 = -h*m + 11*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9\/((g*g*g**(-4))\/g)*g**0\/(g\/(g*g*g**(-8))))**(-32) assuming g is positive.\nAnswer: g**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36\/65 - 16\/65. Sort 3, k, -5 in ascending order.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 + -35. Let j = -32 + i. Suppose j*p - 1175 = 113. What are the prime factors of p?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/21 and -7\/4068.\nAnswer: 28476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 1\/120*x**6 + 1\/2*x**3 - 3*x**2 + 1\/60*x**5 + 27 + 1\/12*x**4 + 0*x. Calculate y(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.16883 months in centuries?\nAnswer: 0.108474025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 52*l**3 + l - 2. Let z be i(1). Let j = 71 - z. Suppose 17*p - j*p = -9. Solve 0 = -3*y - 9, p*w + 3*y - 4 = 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 8. Suppose 220 = 6*g - g + f*k, -k = -5*g + 195. Suppose 4*r - g = -0. What is the lowest common multiple of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 403 = -405 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**4\/12 + i**2 + 1320. Let q(a) = -a**2 - a**2 - a**2. What is q(o(d))?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 299997 - 1440?\nAnswer: 298557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-15)*(-3)\/(-2). Suppose -5*t - 3*a - 2 = 0, -5*a + g*a - 6 = 3*t. Let j be (6\/15)\/(t\/10). Is j equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*d = 63, 4*g = 5*d + 50 + 34. Let b be 3\/2*28\/g. Let q(l) = -l**b - 4 - 3 - 3*l - 4*l + 3. Calculate q(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l**2 + 6*l + 5. Let h(q) = -2*q**2 - 27*q - 9. Let w(o) = -5*o**2 - 76*o - 25. Let f(t) = -17*h(t) + 6*w(t). What is -3*b(j) + 5*f(j)?\nAnswer: -7*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18755?\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 85*h - 88*h + 21. Let y(r) = -9*r - 7. Let k(b) = -4*b - 3. Give h*k(z) - 3*y(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52\/5 in 35, 2, -0.4, -1.6, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 2*v**3 - v**3)*(-5*v - 3*v + 5*v)*(-2776 - 2*v + 1122 + 1166).\nAnswer: -6*v**5 - 1464*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 67408916 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 104166*d**3 - 4*d**2. Let p be l(-6). Round p to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/3))**(-2)\/(n*n**(-13)*n*n**(7\/2)*n*n) assuming n is positive.\nAnswer: n**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -7 - (-38 - -67 - 41) - (-5 - -87)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*i + 21, -14 = -2*o - 2*i - 2. Suppose -4*s + 4 = 36. Let n(l) = 11*l**2 - 8*l - 6. Let q(u) = 4*u**2 - 3*u - 2. Calculate o*n(y) + s*q(y).\nAnswer: y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7337622 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24590 plus 0.07?\nAnswer: -24589.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84639 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2131, -2124, -2139, -2188, -2283, -2436, -2659?\n\"Answer: -2*a**3 + a**2 + 18*a - 2148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3526267363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**2 + 0*h**2 + 7*h**3)*(0 - 1 + 3)*(-1 + 1 - 2)*(4*h - 5*h - 3*h) in the form n*h**4 + w*h + f*h**2 + l + i*h**3 and give n.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 739 - -678. What are the prime factors of a?\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34)\/153 - 182\/(-9). Solve j + 2 = 3*h + 1, 0 = 5*j + m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-175)\/7 - -26) + 8\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d + 97. Suppose 2*k - 71 + 35 = 0. Calculate the remainder when o(4) is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 8*r + 205. Calculate the smallest common multiple of 189 and d(-2).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Suppose 0*a + 120 = -30*a. Let r(b) = 9*b + 4. Let j(v) = 17*v + 7. Let w(z) = 3*j(z) - 5*r(z). Determine a*m(n) - w(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51980, 52043, 52106, 52169, 52232, 52295?\nAnswer: 52358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = 1959 - 87. Let g be t\/(-15) + (-8)\/20 - -2. Suppose -3*k - g*k + 6735 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 18, 1, -1, 3 in descending order.\nAnswer: 18, 6, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(245) - (1 + sqrt(245))) + sqrt(5) + 4 + 1 + sqrt(5) + sqrt(25)\/sqrt(5)*3 + (2 + sqrt(5) + sqrt(5)*-2 + sqrt(5) - sqrt(5)))**2.\nAnswer: 32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -13*j + 49. Suppose -j*a - 4 = 2*v, -2*v = -2*a + 7 + 7. What are the prime factors of (415\/249)\/(a\/(-360)*-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -112, -240, -404, -604, -840?\n\"Answer: -18*p**2 - 74*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2 + 10904*r - 29724304 = 0 for r.\nAnswer: 5452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 7:48 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 524741 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29007361*z**2 - 2*z + 41419828.\nAnswer: -58014722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4*-3.007\nAnswer: 12.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/648720 and 23\/16.\nAnswer: 648720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-seven fifths of a meter?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -2\/23 (b) 13 (c) -1\/12 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -110 + 773?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8951236 + 18752367. Suppose -4*i = -m + 2241131. What is i rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*p - 65, -4*s = -6*s + p + 23. Let w = s - 5. Suppose 2*c - w*c + 12 = 0. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4569 is divided by 442.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4579.7 - -4569.7. Let m = 3 + -2.2. Put m, c, -2 in decreasing order.\nAnswer: m, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 237*w - 390*w - 1020*w in the form a*w + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from {z: 5, k: 4, n: 3, v: 1, f: 4, s: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 119?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42124 and 157965.\nAnswer: 631860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 89744\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*k + 216726, -5*d + 361225 = 182*k - 184*k. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 11*n**7\/210 + 3*n**4\/8 - 25*n**2. What is the second derivative of j(a) wrt a?\nAnswer: 132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -5*l + 377. Let n = -51 + l. Find the third derivative of 14 - 14 - n*s**4 - 16*s**2 wrt s.\nAnswer: -264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 18*f**3\/5 + 48036*f**2\/5 + 31757858*f\/5 - 388042584\/5 = 0.\nAnswer: -4021\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**2 - 17*x**2 - 23*x**2 + (-6*x + 2*x + 2*x)*(-78 + 4*x + 78) in the form t*x**2 + m*x + i and give t.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*m - 14904, -4*m - 5*o + 0*o + 14904 = 0. List the prime factors of m.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)\/sqrt(5))\/sqrt(9) + 0 + sqrt(5) + -3*sqrt(5) + ((1*sqrt(250))\/sqrt(10) - sqrt(25))\/(sqrt(605)*2))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + 4*z**2 - 5*z**2 + (-2*z - z + 5*z)*(3 + 2*z - 3))*(0*z**3 + z**3 - 4*z**3).\nAnswer: -18*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l**3 + 2*l**2 + 23*l - 39. Let t(r) = 5*r**3 + r**2 + 13*r - 19. Give -4*k(g) + 7*t(g).\nAnswer: -g**3 - g**2 - g + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -494*l - 164*l - 23993 - 7591 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82422*n**2 + 19*n - 19*n.\nAnswer: 82422*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s*s*s*s*s**(-1\/8)))\/s**(3\/8))\/(s**(-2))**(-31) assuming s is positive.\nAnswer: s**(-269\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6.422385ns?\nAnswer: 0.00000000010703975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 7:25 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40541542673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 792 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -93526\/11 less than -8501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 302653, 5\/6, -2, 3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(-1 - (-9)\/15). Let g be (0 + -1)\/(h\/6). Let u = -1 - 0. Which is the second smallest value? (a) 1 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/375 + 8290\/(-150) - -20?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22960919 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -76\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.01, 1, -1, 2\/5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 q when four letters picked without replacement from gqqgqqgqqg?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -1 (c) 1\/57 (d) 3 (e) -1\/23 (f) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 0*h**3 - h**4 - 2*h**2 + 2*h + 0*h**2 - 3*h**3 to u*h + q*h**4 + k + j*h**3 + o*h**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 384\/(-18)*(-5)\/(-20)*-18. Let k be (q\/(-7))\/(11\/(-385)). What is k rounded to the nearest 10?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w = 0. Suppose -2*c = -y - 6, w*c + 2*y = -2*c + 12. Let a = c - 1. What is the remainder when 4 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -188322521 - -10357263419\/55. Let n = v - -8640. Let h = -5\/11 - n. Which is the third biggest value? (a) h (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**4 + w**3 - w**2 - w**3 + (-3*w**2 + 0*w**2 - w**2)*(w**2 + 3*w**2 - 5*w**2) as o*w**2 + q*w**4 + n + i*w**3 + a*w and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 43094.5 and -6.367859.\nAnswer: 43088.132141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11158.602735 from 333.\nAnswer: -10825.602735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1033 - -5163\/5. Which is the nearest to 0.1? (a) -5 (b) 12 (c) q (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 414075 and 30.\nAnswer: 828150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30224?\nAnswer: 2, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -46011 divided by 21?\nAnswer: -2191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*q. Suppose -26 = -q*k + 2*k. Let r(s) = s**2 + 12*s - 2. Is 2 a factor of r(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49325 + -49323. Let l = -18 + 29. Solve -h*q = -4*c + c + 9, -2*c + 3*q + l = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*(-1)\/2 + (12 - -3 - 19). What is the third biggest value in -6\/7, -5, h, 23?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 1:59 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 107*h + 2. What are the prime factors of o(1)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 23. Let x be z(-8). Let w = 20 - x. Suppose 5*u - 2*u + s = 11, 4*u - 8 = 2*s. Solve w*c - 5*m + 14 = 49, u*m + 17 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1153244 divided by 4.\nAnswer: 288311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12037*k**3 - 12*k**2 + 3*k**2 - 6015*k**3 + 9*k**2 - 6018*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**2 + 6*u + 17. Let b be j(-2). Let s(p) = -p**2 - 9*p - 6. Determine s(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 2. Let a be i(-6). Calculate the least common multiple of a - 0\/(-3) - 1 and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 184930*u - 2958882. Calculate f(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**3 - 1437*z**2 - 5462*z - 4054. Let u(t) = -2*t**3 - 1078*t**2 - 4096*t - 3040. Let r(d) = -10*c(d) + 13*u(d). Suppose r(s) = 0. Calculate s.\nAnswer: -85, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*t + 2 - 2 in the form s + c*t and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 889*m + 9781. Give y(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(704) + 2).\nAnswer: -32*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**4\/4 + 3*d**3 - 12*d**2 - 7*d - 24. Let c(p) be the first derivative of o(p). Factor c(h).\nAnswer: -3*(h - 4)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-seven fifths of a week?\nAnswer: 74592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1242141 is divided by 1242129.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 539 = 6*n + 533 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5975458?\nAnswer: 2, 2987729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0 + 0*q**4 - 19\/3*q**3 + 29\/120*q**6 + 0*q**5 + 0*q + 33*q**2. Differentiate s(w) wrt w.\nAnswer: 87*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 931327087?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 - w**2 - w**3 + 86 + 2*w**2 + 46*w)*(5 + 1 - 4).\nAnswer: -2*w**3 + 2*w**2 + 92*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*l + 83*l + 36 = 4*y, 2*l + 18 = 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + 13 - 37703\/4218 and 125\/96.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4510 = -4*a - 2*y, -4*a + 4*y = -4524. Suppose -a = 5*r - 4049. Is r a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 9*c**2 - c + 13. Let i be w(-9). Calculate the highest common factor of 77 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -130 + 132 + 21*n + 64086*n**2 - 64076*n**2 - 2*n**3 in the form a + v*n**3 + u*n + s*n**2 and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 68730901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 10 - 127*p + 11 + 8 - 219*p + p**2.\nAnswer: p**2 - 346*p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 4*n**2 - 5*n + 6. Calculate z(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3488.54 less than -10199177?\nAnswer: -10202665.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 622636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64481 or -64482?\nAnswer: -64481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 170.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**4\/24 + 7*t**2. Let z(x) = -3*x**2. What is z(h(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 63 = -5*f. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybsdaasy. Give prob of sequence by.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1185*t**2 - 41*t + 315. Is d(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7705659.\nAnswer: 3, 13, 19, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tptdzzjq. What is prob of picking 1 d, 1 z, and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -351*r**3 + 3*r**2 + 144*r?\nAnswer: -2106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -9*u + 57156, -18179 = -z + 3*u + 831. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 625\/8*u**3 - 15625\/8*u**2 - 25\/16*u**4 - 14*u + 1\/80*u**5 - 1. Suppose a(f) = 0. What is f?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 291 + 4?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 413642047 divided by -91.\nAnswer: -4545517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20020 + -19949.22. What is m rounded to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.8212 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2. Let k(t) = -6*t + 29848. Calculate k(j(b)).\nAnswer: 12*b**2 + 29848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 0, -2, 8429, 2, 34 in descending order.\nAnswer: 8429, 34, 4, 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -30*y + 425. Let r(p) = -p. Calculate r(l(w)).\nAnswer: 30*w - 425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (5 + -1 - (-2 + 7)). Let x(z) = -9*z**2 - 5*z - 13 + 13*z**2 - 3*z**c. Let r be x(7). Solve 0 = 4*m - 4*i + 12, i - r = 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(198)*1)\/(sqrt(6) + sqrt(24)\/sqrt(4)*6))\/(sqrt(704) + -1*sqrt(704)*-3 + sqrt(704) + sqrt(704) - (sqrt(704) - (sqrt(704) - 4*-2*sqrt(704)))).\nAnswer: -3*sqrt(3)\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*p = 80 - 1151 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3097 - 117*x - 3097)*(8 + 6 + 4) - x + x + x to p + l*x and give l.\nAnswer: -2105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = d - 4*u + 227, -2*d + 4*u - 472 = 0. Let j = -93 - d. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31040754 by 120313.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*w**3 - 8*w**3 - 4*w**3 - 12 + 3*w**3 wrt w?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7a4 - 2?\nAnswer: -7a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56\/11 - -325\/66. What is the smallest value in 25, o, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + (-8 - 6\/(-36)). What is the nearest to 1.5 in q, 2, 4, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from {g: 1, l: 1, j: 4, z: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 59509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10960 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10 - -16) + -1)*(15 - 14). Suppose 20 = 5*c + m, 3*c + 4*m - 17 = 4*c. Solve -4*x - 4*f + q = -f, c*x - 2*f = 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 3. Let o = 15 - 3. Suppose 0 = d + d + o. Let h be (-1 - 0)\/(2\/d). Determine g(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*r - 3*i - 394 = 0, 4*r - i - 808 = 0. Suppose -3*z = g - r, g = -2*z + 36 + 98. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = -30*x + 444. Let p = x - 26. Calculate the remainder when 27 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 0*k - 1\/24*k**4 + 15*k**2 - 3\/40*k**6 + 0 - 1\/20*k**5 + 1\/2*k**3. What are the prime factors of r(-2)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, w: 2, e: 2, h: 2}. Give prob of sequence fef.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16565 + 5?\nAnswer: 1656a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l + l)*(-2*l + 3*l - 4*l)*(-345*l + 14123 - 14123).\nAnswer: 2070*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0. Which is the closest to g? (a) 2\/5 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 11034?\nAnswer: 55170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in 0.02, 4, -14, 0.7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 16*a - 60. Let b be c(-8). Suppose -3*p + 2 = -0*t + t, -4*p - b*t + 8 = 0. Solve p = w + 4*d + 20, -d + 4*d = -15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 + -104.07. Put 1, -0.4, o in decreasing order.\nAnswer: 1, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o - 85. Let g(m) = 24*m + 426. Let i(z) = 11*b(z) + 2*g(z). Let r be i(-12). Which is greater: r or 2\/271?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24 - 8)*2\/4. Let u be (-2)\/((-1)\/p*2). What is the highest common factor of u and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -1. Let g = -11\/5 - -7\/10. Are j and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*f - 39*f + 25 = -u, -5 = f + 5*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6 + 6. Let w = g - 2. Suppose -4*j - 3*k + 6*k + 11 = 0, -3 = -3*j + w*k. Which is smaller: 6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.9917 + -0.0383. Let f = b - -0.03. Let w = 28.9 + -29. Sort f, w, 1.\nAnswer: f, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*37755.906\nAnswer: 188779.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 394 + 23.0662126.\nAnswer: 417.0662126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 6 (c) 0 (d) 11189\/2 (e) 2\/11 (f) 1\/3 (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1237*k**2 + 81*k + 1303. Is s(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, 5, 24, 16\/133?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 19. Let w(g) = -3*g**2 + b + 0 + 5*g**2. Let f(y) = -2*y. Determine f(w(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = j - 1, -912 = -2*j + 5*m - 931 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -65571 times 56?\nAnswer: -3671976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 44\/21 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -17*t + 3. Let u(p) = 17*p - 4. Let r(l) = l**3 + 8*l**2 - 10*l - 6. Let a be r(-9). Let n(o) = a*u(o) + 2*v(o). Is n(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2975277?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from toaaaaanavntvaaanva. Give prob of picking 1 a and 2 t.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, y: 1, u: 1, e: 10, q: 2}. Give prob of picking 2 e and 1 p.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 16*n**2 - 9. Let c(m) = 2*m. Determine c(b(p)).\nAnswer: 32*p**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhvb when four letters picked without replacement from bvbbbvhvbbhvbb?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24492, -48984, -73476, -97968?\nAnswer: -122460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**4 - 128*n**3\/3 - 362*n**2 - 592*n - 412. What is y in d(y) = 0?\nAnswer: -4, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 872\/(-44) + (-4)\/22. Let m = 34 - -4. What is the remainder when m is divided by (j\/(-14))\/(12\/84)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748*r + 5*v - 23 + 12 = -731*r + 37, 39 = 3*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 355810532 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 589, 588, 587, 586, 585, 584?\n\"Answer: -w + 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -9\/4, 0.1, -2\/7, -0.2?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2 + 82474*f + 1237560 = 0.\nAnswer: -15, 41252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117\/216*-4*5*11\/((-495)\/18).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 13*w - 16*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2729330.\nAnswer: 2, 5, 272933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 9)*(-2 + 3 + 1)*(2 + 0 - 4)*(-3*w**4 + 3*w**4 + w**4).\nAnswer: 44*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**16*f)\/f**14)**(2\/9))**(-3\/2))**(-2\/41) assuming f is positive.\nAnswer: f**(2\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 31*n = 224. Let r(a) be the first derivative of 1\/3*a**3 - 4*a**2 + 7 + n*a. Factor r(x).\nAnswer: (x - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 18*f - 987. Determine n(53).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18555922751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112*k**2 + 12*k**2 + 58*k**2 - 34*k**2 + 77*k**2 to the form c*k + d + f*k**2 and give f.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089943683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - s**2 - s + 1. Let w(l) = -7*l**3 - 20*l**2 - 6*l - 12. Let f(y) = 6*a(y) - w(y). List the prime factors of f(-13).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11045 is divided by 223?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -52. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 1. Suppose -4*r - v = -782, -2*v = -2*r + 201 + 195. What is the tens digit of -5*g\/((-20)\/r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -39*j + 102. Let m be h(-13). Suppose 21*r = 693 + m. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 4845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v - 2. Let b(k) = 3*k + 1. Let c be b(-4). List the prime factors of o(c).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 98, 77, 40, -19, -106, -227, -388?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 1410938?\nAnswer: 1410938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 6*d - 135. Let r be s(10). Suppose -27*b + 1458 = -r*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 + p**2 + p**2 - 2*p**4 + 7 - 4*p**3 + 6*p**3 to b*p**4 + u + y*p**2 + g*p**3 + n*p and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*i**2*x**4 + 1155*i**2 + 870*i*x**5 + 143*i*x**2 wrt x.\nAnswer: 312*i**2*x + 52200*i*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/110*28\/(-3))\/(122\/4880).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 364523*c**3 - 51*c**2 + 163635881*c.\nAnswer: 2187138*c - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*t - 42875 = 30829. Which is the third smallest value? (a) t (b) -1\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, q: 5, i: 3}. What is prob of sequence nqq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.24? (a) 42 (b) -3 (c) -0.24 (d) -5\/4 (e) 126\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 423491351?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 1. Suppose -2*q + 5*v = 23, 11 = -5*q - 3*v - 0. Let z be t(q). Let d = 154 - 145. Solve z*w - d = 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-143040)\/(-176))\/12 - (-328)\/(-451)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/22 and (-9671)\/(-6916) + (-6)\/(-14)?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3069 (base 10) to base 9.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(1300) + (sqrt(1300)*3)**2).\nAnswer: 60*sqrt(13) + 70200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/46)*z*z**3\/z*z)**(-14) assuming z is positive.\nAnswer: z**(-1603\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 3*j - 4*j)*(3 - 7*j - 3) as h*j**2 + s + n*j and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672042 is divided by 333?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -279 - -308 - (8 - -64).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.0124, -0.5, -10?\nAnswer: 0.0124","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8475540 to the nearest ten thousand.\nAnswer: 8480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(-1\/3)*r*r)\/r)\/r)\/r*r)**(-5\/8)*r**9\/r**(2\/19) assuming r is positive.\nAnswer: r**(1933\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from sehshmeohhshmhhheh.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22130300310 (base 4) in base 13?\nAnswer: 74ba79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -355449 bigger than -355446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v**3 + 6*v**3 + 2409350*v**2 - 2409349*v**2.\nAnswer: 18*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 99470, 97429, 95388, 93347, 91306, 89265?\n\"Answer: -2041*c + 101511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**39*(v\/(v*v**(-1\/2)))**0)\/((v\/(v**(2\/15)*v)*v\/((v**6*v)\/v))\/(v**(-2\/3))**(-7)) assuming v is positive.\nAnswer: v**(-146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/999 and 25\/297.\nAnswer: 10989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1188 + 1197.904. Let o = s + -10. Round o to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12*q + 51. Let r be k(-4). Let t(w) be the first derivative of 3 + 2\/9*w + 2\/9*w**2 + 2\/27*w**r. Factor t(c).\nAnswer: 2*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-3)*1\/2)\/((-7)\/(-315)). Calculate the greatest common divisor of b and 1070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 + d - 1. Suppose 2*j + 5*f = -3*j, -3*j - 5*f - 2 = 0. Let r(l) = 1. Let z(t) = j*r(t) + c(t). What is the second derivative of z(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1479*z**2 - 329781*z - 8025. Calculate d(223).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 7 (c) -0.3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14656)\/56 + (-4)\/14. Let a = t + 409. Suppose -4*f = -2*n + 78 - 8, 0 = 5*n - 3*f - a. What is the remainder when n is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -604128, -604132, -604146, -604176, -604228?\n\"Answer: -l**3 + l**2 - 604128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-1 - -3) + -7 - -103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 5) + (0 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.1706 at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 149328 to the power of 1\/2, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7918580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a - 53. Is n(27) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 147847563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6*x)\/x**14 assuming x is positive.\nAnswer: x**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, d: 3}. Give prob of sequence hhhh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6490210 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 divided by -17.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/363)\/(42\/(-54054)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9727 is divided by 51.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346 = -3*v + 113. Let g(b) = -50*b - 1433. Let p be g(-29). Calculate the greatest common divisor of v and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 343 and 1302371.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 78.6.\nAnswer: 78.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/6*(0 + 0 - -1). Solve -4*q + s + s = -16, -8 = -4*q - j*s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20736 + 1074 = 15*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3370*s + 955043 = 1281933 for s.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -4, -3, 0.1164, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 913308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 0.009?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-1))\/(-1))\/((-10)\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 - 0.4. Let a = p + -1. What is the smallest value in a, 1\/2, -0.05?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2206 divided by 222\nAnswer: 1103\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = -5*v + 4*n, 5*n - 3 = -8. Let s = v - -74. What is the smallest common multiple of 28 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -279.996 + 284. Let t = g + -4. Let k = 0 + t. What is k rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 25*s - 27. Let x(l) = l**2 - 17*l - 18. Let y(q) = 5*m(q) - 7*x(q). Factor y(f).\nAnswer: 3*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1848970.\nAnswer: 1848967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**2\/2 + 28*v - 8. Suppose 5*g + 25 = 3*c, -c + 3*g = 6*g + 1. Calculate the remainder when f(-19) is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 31*x. Let w(l) = 6*l. Give -6*m(o) + 30*w(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/134636032 and 111\/191680.\nAnswer: 673180160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -6*w + 4*w + 23, -3*k = -2*w - 7. Suppose 0 = -w*p + p + 6. Find the first derivative of -2 - 8*h + 8*h + h**p wrt h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29*0.51481\nAnswer: 14.92949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 22.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 473?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 912 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide -1 - -5 - (-24 + -18562)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 862477631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 x when four letters picked without replacement from {x: 2, z: 10, q: 5, f: 2, o: 1}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 6 = -2*c. Let t be 4 - c\/(-4)*-8. Let g(z) = z + 12. Let n be g(t). Calculate the greatest common factor of 56 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 + (-64 - -87) + (31 - -2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**2 + 19*u - 3*u**3 - 19*u to the form s*u**2 + q*u + i*u**3 + n and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0151 - -3337547.\nAnswer: 3337546.9849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 537 and 3029.\nAnswer: 1626573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1696, -1, 696 in descending order.\nAnswer: 696, -1, -1696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.9 or 42\/11?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*u - 10. Let i = u + 11. Let z be 9\/12 + (-9)\/12. Sort -6, z, i.\nAnswer: -6, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/(250\/(-500)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (0 - (-14 + 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/3)*(y*y*((y*y**(6\/17)*y)\/y*y)\/y*y)\/y*(y\/y**(-14))**(-2\/11) assuming y is positive.\nAnswer: y**(-23\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -57. Which is the closest to 0.1? (a) -1\/4 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*j + 894, 4*t - 466 - 657 = -5*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/19, -0.05, 8, 20 in increasing order.\nAnswer: -2\/19, -0.05, 0.1, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -702311, -702314, -702317, -702320?\nAnswer: -702323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 1, k: 1, w: 1, q: 1, e: 2}. Give prob of picking 1 q and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 73235261657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -330918 divided by 3?\nAnswer: -110306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by -40\nAnswer: 91\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18, -39, -44, -27, 18, 97, 216, 381?\n\"Answer: y**3 + 2*y**2 - 34*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 29. Let y = v + 26. Do 2 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633661138.\nAnswer: 2, 11, 197, 293, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*k - 40, -5*o = 2*k - 41 - 23. Let s(n) = -2*n + 1. Let l(z) be the second derivative of -2*z + 0 - z**2 + 5\/6*z**3. Give o*s(m) + 6*l(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*c**2 - 17 + 0*c + 205*c**2 + 0*c.\nAnswer: -c**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13937, 30329, 46717, 63101?\nAnswer: 79481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8475096 a multiple of 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -102, -4, 1114 in descending order.\nAnswer: 1114, 1, -4, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 44, -126.\nAnswer: -126, -4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 771\/104 - 98\/13. What is the nearest to d in -0.3, -0.1, -4, 4\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 10 = 2*f. What is the remainder when f is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658 a factor of 25528226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2055*b = 2024*b + 247411. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 1 - 8\/(-11). Let w = 88849\/35 + -12692\/5. Put t, -2\/3, w, -3 in descending order.\nAnswer: w, t, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -6, -4\/3 in increasing order.\nAnswer: -6, -4\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*s**2 - 108*s**2 + 225*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68761386 is divided by 387?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -494.5 + 493.5. What is the nearest to 1\/2 in 1\/26, -19, q?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-1\/14))\/(q**(2\/33)\/q))\/(q**(30\/11))**(1\/35))**(3\/25) assuming q is positive.\nAnswer: q**(827\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 119*a - 221*a**3 + 123*a + 205*a**3.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = x - 15. Differentiate 5*l**2 - 12 - 13*l**x - 6*l + 6*l with respect to l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4682 + -1.60798. Let v = 0.169827 + c. Let x = v - 0.0298. What is x rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/196*((518\/(-12))\/(-37))\/(2\/(-5)).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -8*k - 14. Does 24 divide p(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -654380 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 + 470. Calculate the highest common factor of 328 and n.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 22 + -15 - (-9 + -4)) + 27.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 803730715 to the nearest integer?\nAnswer: 28350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*z + 1237*z + 2 - 1 - 1 in the form o*z + f and give o.\nAnswer: 1268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 8*a**2 + 8*a + 3. Let i be b(6). Let g = -11 - i. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -244*t*x**4 + 8*t*x**2 - 49*t*x - 2*t + 2*x**4 - 477433*x**3 - 2*x**2 + 48*x + 2 wrt x?\nAnswer: -5856*t*x + 48*x - 2864598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 16 + 14 = -3*o, -2*o - 26 = -5*w. Let p = o + 11. Let j be (-4)\/p*27\/(-6). Solve y = j*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y - 554 + 130 = 517 - 93 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 + -4.6. Let y = 3.5 + a. Let w = -0.5 - y. Is w less than or equal to -3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-1))**18\/(v\/(v*v\/v**(-6)))**(49\/2))**33 assuming v is positive.\nAnswer: v**(12507\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzi when three letters picked without replacement from fckzfiicufcc?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 53736?\nAnswer: 268680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u - 616*u**2 + 125*u**2 - 6*u - 70*u**2 to t + j*u + k*u**2 and give k.\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2 + 36*q - 6. Give t(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27, 114, 333, 750, 1431, 2442, 3849?\n\"Answer: 11*u**3 + 10*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*j + 2*j, j = 3*h - 2. Suppose -w - p = h, p = -w + 2*w - 6. Suppose 17 = u + w. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64921765?\nAnswer: 5, 19, 127, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -3*r**6\/40 + r**5\/20 - r**4\/8 - r**3\/2 - 40*r**2. Let g(u) = -46*u**3 + 16*u**2 - 16*u - 16. Calculate -3*g(q) + 16*j(q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 815202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ffx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204 + 409 - 187*k**2 - 150*k**2 - 205.\nAnswer: -337*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 2 = 0, 111*h - 109*h + 19 = -3*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**5 - 56*d**4\/3 - 44*d**3 + 16*d**2\/3 + 46*d + 40\/3 = 0.\nAnswer: -5, -4, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 226421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.39 + 0.11. Let f = -3.49748 + m. Round f to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p - 35. Let t be n(-8). Solve -8 + t = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p. Let c(r) = -5*r**2 + 177 - 177. Give b(c(h)).\nAnswer: -55*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**7\/2940 + j**6\/1260 - j**5\/210 + 4*j**3\/3 + 1. Let i(h) be the third derivative of n(h). Factor i(v).\nAnswer: 2*v*(v - 1)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/((-100)\/85) + 2\/8. Let v be j + (3 - 0 - -36). What is the greatest common divisor of 35 and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**3 - 1 + 2*t**3 - 2*t + 9*t**2 - 9*t**2 to i*t**2 + z*t + g*t**3 + o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.7? (a) -1\/3 (b) -2\/3 (c) 8\/3 (d) -1\/8 (e) 3\/4 (f) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**7\/14 + 2*u**3\/3 - 4*u. What is the second derivative of x(y) wrt y?\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1349 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210201 + -2?\nAnswer: 210133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5294.5 - -5328. Sort -4, k, -1\/2 in descending order.\nAnswer: k, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188.003 + -188. Round b to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35a6 (base 14) in base 11?\nAnswer: 7038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21289569 and 84?\nAnswer: 85158276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*5\/(10\/(-8)) - (-6 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 9 + (21 - ((4 - 7) + 7))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 6:04 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8003706 (base 9) to base 11.\nAnswer: -2446345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - -4. Let q(h) = 7*h**2 - 3*h - 7. Let m = -5 + 10. Let g be q(m). What is the highest common factor of g and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371488 divided by 52?\nAnswer: 7144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + 161180b?\nAnswer: 1611827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r - 1. Let z(p) = -p**2 - 98*p + 2. Let j(q) = -2*c(q) - z(q). Solve j(o) = 0 for o.\nAnswer: -104, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/8 and 69\/38?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*p = 9, -x - 3*x = -3*p - 83. Let w = x - 14. Solve 2*y + 2 = -2*y - w*m, -10 = -5*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s + 62. Let f be q(-16). Let y(z) = 84*z + 6 - 5*z**2 - 4 - 83*z. Give y(f).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 - 24717 + 24717 - c**2. Let d(a) = 424*a. Determine q(d(g)).\nAnswer: -898880*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5897880 is divided by 536170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52*(-31)\/(-496)*(-8)\/1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/770 and 43\/5760.\nAnswer: 443520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 7*f**4\/12 + f**3 - 22*f**2. Find the first derivative of b(c) wrt c.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/(-12) + 3\/9. Suppose 0*j - 12 = -u*j. What is the second derivative of 3*l + 4*l**2 - 4*l**2 + 4*l**j wrt l?\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 15*v**2 + 12*v.\nAnswer: 3*v*(v - 4)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 4\/(-2) + -16 + 19. Which is the third smallest value? (a) -4\/9 (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(-2*sqrt(441)))\/((-1*sqrt(21)*-2 + sqrt(21))\/sqrt(3)).\nAnswer: -sqrt(5)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 6 = -5*n, 7873*n + 24 = -o + 7871*n + 21 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639 is divided by 317.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011111001100 + 10?\nAnswer: -11011111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42*103\/41097*-1*1.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -302.54 - -0.5.\nAnswer: -302.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((5 - 24) + (0 - -7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 5*n**2 - 2*n - 10. Let j(p) = p - 2*p - p**2 + 19 + 3*p + 0*p. Let f be j(6). Let o be r(f). Solve o*w - 3*w = 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 8223.564?\nAnswer: -32894.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.2, -42, 834?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183802?\nAnswer: 2, 29, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 534.8749 decades in millennia?\nAnswer: 5.348749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -50, -111, -198, -311?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18220 - -19453.7. What is a rounded to the nearest 10?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4 + 7*w + 16*w**2 + 2*w**3 + w - 4*w**2 - 7*w**4 + 9*w**2 = 0.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 11. Let u(y) = -2*y**2 + 4*y. Let x(r) = 6*r**2 - 12*r. Calculate o*x(f) + 7*u(f).\nAnswer: -2*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 164 and 389618.\nAnswer: 31948676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 4. Suppose 0 = -l*m - 5*g - 19, 0 = -0*m + 3*m + 4*g + 14. Solve 4*o + m = 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 804361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000043782 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**3 + l**2 + 340*l - 338. Give p(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -297 + 437. Let j be 61\/3 - (-3)\/(-9). What is the greatest common factor of j and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v = 0. Let r be 2\/9 - 3772\/(-36). Let x be 4\/6*r\/2. Solve 5*w = 5*m - x, 0*w + 3*w + 2*m + 11 = v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4635*f = -3665*f - 705500 for f.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**5\/390 - w**4\/26 + 5*w**3\/39 - w**2\/2 + 92*w - 43. Let x(i) be the second derivative of k(i). Factor x(y).\nAnswer: 2*(y - 5)*(y - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**4\/24 - q**3\/6 + 2*q**2. Let l be i(-2). Let h = -0.2 - -0.3. Is l bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -16*q. Let n(f) = -4. Let a(c) = -c - 6. Let w(m) = 2*a(m) - 3*n(m). Determine w(s(l)).\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 298130431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 858 (base 15) in base 7?\nAnswer: 5330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124410 + -1?\nAnswer: 124404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25681135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.93 - 0.07. Let g = 0.529 - 0.929. Let x = 0.12 - 4.12. What is the nearest to d in x, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 51. Suppose p*c + 4*o - 1210 = 3354, 0 = -3*c + 4*o + 3409. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 685?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 3*o + 11 = 8, 1 = g + 5*o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o**2 + 10*o - 6*o + 7 - 2 + 13*o**2. Let y(a) = 2 - 3*a**2 - 5*a - 8 - 5*a**2. Calculate -6*h(s) - 5*y(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 79, -43, -1\/3, -19?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 16*b**2 - 33*b - 6. What is p(14)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 305 + -6?\nAnswer: 2cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11426, -22866, -34314, -45776, -57258, -68766, -80306?\nAnswer: -91884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 10 - ((2 - 19) + 212 + -172)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/7 + 11854*i\/7 - 11856\/7 = 0. What is i?\nAnswer: -5928, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17263.3 rounded to the nearest one hundred?\nAnswer: -17300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2720167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -326*z**2 + 8*z + 11. Let c be j(-2). Let y = -696 - c. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 41*p + 65. Let r be b(19). Solve -4*i = -2*i + r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umumixuamauh. Give prob of picking 3 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 7. Let l be u(5). Let z = l + 6. Solve -5 = z*n - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(243) - 2*sqrt(243))*-5 - (0 + sqrt(243)*2)))**2.\nAnswer: 78732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f + 15. Calculate the remainder when 29 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, c: 4, n: 5}. What is prob of sequence ccnl?\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 25 = 2*p, 19 = p + 2*x + 4. Let z(w) = 3*w**3 - 5*w**2 + 6*w - 3*w**3 + w**3. What is the tens digit of z(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) -5 (c) 28 (d) -2 (e) 0.4 (f) 774\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 + 1970730\/13590 - (-7218)\/2265?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9266894, -9266893, -9266892, -9266891, -9266890?\nAnswer: -9266889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261049758.\nAnswer: 2, 3, 43508293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w. Let f be x(-1). Suppose f*n = -4*v + 20, -3*n + 0*v - 9 = -3*v. Let b be (3\/(-9))\/(242\/243 - n). Round b to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 19602 = -34*j - 134*j + 7*j for j.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 30 (b) 2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 512234?\nAnswer: 512234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 11:36 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013469 to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17\/34 - (-3)\/(-2). Is ((-7)\/(-7))\/(v\/45777*-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 999 and 6993?\nAnswer: 6993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -36*c**2 - 101*c + 8*c**4 + 42*c**3 + 55138 - 155*c - 54946 = 0.\nAnswer: -4, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 8:53 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 1576181?\nAnswer: -1576172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 5*h - 1\/6*h**3 + 1\/2*h**2 + 0. Give a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 131, 4, -0.053, -3, 19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from {g: 4, u: 2, d: 8}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:02 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 2*x**2 + 2*x - 1. Let u be l(-3). Let c = u + 26. Solve -m = -2*p - 3*p - 5, -5*p - 2*m + c = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + 10*8\/(-20). Put -5, 20, 5, r in decreasing order.\nAnswer: 20, 5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*((sqrt(77)*3 + sqrt(77))\/sqrt(11))**2 + sqrt(56)\/(sqrt(8) - (sqrt(8) - sqrt(48)\/(sqrt(6) + sqrt(150)))) + -1).\nAnswer: -6*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 20, -4*b = p + 14. Suppose 2*r + 5*x - 31 = 0, -r + 5*x - 10 - 12 = 0. Put r, p, 1, 4 in descending order.\nAnswer: 4, r, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/8*1\/(39\/195).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 139596 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -9. Let v be (a\/(-4))\/((-2)\/(-8)). Solve -2*f + 0 = -v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.61 + -2.5. Let t = 0.3 - s. Let i = 0.69 - t. What is the nearest to 1\/4 in i, 2\/11, 0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-2) - -1 - -341. Suppose g = -0*g + 500. Let m = g - w. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297313, 297325, 297337, 297349, 297361, 297373?\nAnswer: 297385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-8)*(-33)\/462\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 12. Let x(f) = 4*f + 73. Let h be x(-22). Let j = u + h. Calculate the remainder when 15 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -51125 divided by -10225\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47181*s + 47238*s = 2793 for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117 + -233\/2. Factor x*p + 1 + 19\/2*p**3 - 15\/2*p**2 - 7\/2*p**4.\nAnswer: -(p - 1)**3*(7*p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.83 - 0.17. Let l = -33.6 - t. Which is the closest to -0.3? (a) l (b) -4\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5663885 + 698752\nAnswer: 6362637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -d + 15, -4*l + 3*l - 4*d - 10 = 0. Let t(o) = l + 25 - 35 - 3*o. Let k(a) be the third derivative of a**5\/60 - a**2. Give t(k(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17536?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + (sqrt(11) - (sqrt(11) + 3 + sqrt(891) + sqrt(11)))))**2.\nAnswer: 400*sqrt(11) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1756 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: -22 divided by 7\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddgddtfdfl. What is prob of picking 1 d and 1 t?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.19987 and -0.049.\nAnswer: -0.24887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 2*p + 3. Let w(k) = -2*k**2 + 5*k - 5. Let n(m) = 9*f(m) + 4*w(m). What is the tens digit of n(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from {x: 7, j: 2, a: 2, k: 6, q: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 2\/5, 1\/12476, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -86, -174, -262?\n\"Answer: -88*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274 by 3.\nAnswer: -274\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1183089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*h - 3*n, -3 = 5*h - n - 22. Suppose 0*o + 132 = 3*o - h*b, 0 = -4*o + 2*b + 166. Solve -6*k + o = 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -6*u - 2*l - 12, 4*l - 8 = 4*u. Let x be ((-2)\/u)\/(11\/22). Solve 0 = 4*c - x - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2310331333 (base 4) to base 8.\nAnswer: -2647577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*p + 17 = -4*p, 5*p - 25 = -3*n. Suppose -n = -6*f + 1. What is the closest to 0.1 in 4, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, g: 2, n: 4}. What is prob of picking 1 n and 3 t?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 1112*w + 77284.\nAnswer: 4*(w - 139)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2. Let a(u) be the second derivative of -11*u**4\/3 - u. Determine a(h(f)).\nAnswer: -176*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/5000 and -12\/625.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 824.54081 rounded to the nearest ten?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 117*((-400)\/(-375) - 4\/10). Solve s*z + 4 = 77*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -61, 0.4, 2, 1.7, -3, -1\/8?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k - 28. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/20*(-59840)\/(-544)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6\/5)*w**(-1\/14)\/w)\/((w**2\/w*w)\/w*w**(-1\/4)))**47 assuming w is positive.\nAnswer: w**(-19881\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 2, v: 2}. What is prob of picking 2 j and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(63)*-3 + (sqrt(448) + 0)*-6)*3.\nAnswer: -117*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4\/3, 83, 1\/3, -18, 2, -1.1 in ascending order.\nAnswer: -18, -4, -1.1, 1\/3, 4\/3, 2, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(9\/5)*r)\/r)**4\/((r\/r**(3\/13))\/((r\/r**8)\/r)) assuming r is positive.\nAnswer: r**(418\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 3*p + 1. Let h(r) = r. Let y(f) = 2*f**2 + 20*f - 17. Suppose -79*s - 11 = -78*s. Let m be y(s). Let t(j) = m*h(j) - 2*v(j). Give t(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11\/267 - 26\/89. Let q = 5.12 + -0.12. Which is the second smallest value? (a) j (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -81228 - -4?\nAnswer: -81224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -42. Let g(y) = y**3 + 20*y**2 + 19*y + 6. Let r be g(u). Suppose 0 = 4*a - 0*a - 12. Solve a = 3*c - r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 + -0.47. Let g = 0.28 - -0.02. Let m = p + g. What is the second smallest value in -0.3, m, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**2. Let m(u) = -68*u**2 + 19511*u + 1. Calculate m(v(o)).\nAnswer: -1700*o**4 - 97555*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 8219 = 5329. What are the prime factors of s?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 5*z - 28390 = -5*x, 2*x = 4*z + 11362. Calculate the greatest common divisor of x and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from mzqqqmzqk.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s + 36*s + 3*y = -94, 10*s - 16*y + 12*y - 182 = 0 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 3) + -6 - 7 - (-14 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 1831*o**6\/120 - 713*o**3\/6 + 3168*o**2. Find the first derivative of b(v) wrt v.\nAnswer: 5493*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2336.111 millennia to decades.\nAnswer: 233611.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 584260 and -0.4.\nAnswer: -233704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 - -0.01. Let l = -0.1 - u. Let w = -135.9 + 140.9. Which is the nearest to l? (a) -1 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + a = -2, t + 6*a = a + 10. Let y be -4 - -2 - (t + 14). Let u(s) = -3*s + 5. What are the prime factors of u(y)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, -31, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**5\/4 + z**4\/6 - 2*z**3\/3 + 2*z**2 - 2*z. Let n(p) = 6*p**3 - 2*p**2 + 5*p - 5. Determine 5*m(a) + 4*n(a).\nAnswer: -a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -11111110111011100000101001?\nAnswer: 11111110111011100000101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 15) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**6\/1620 - p**5\/108 - p**4\/27 - p**3\/3 + 13*p**2. Let s(q) be the first derivative of g(q). What is l in s(l) = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - o - 1. Let w(l) = 5*l**2 - 3*l - 3. Determine -7*j(z) + 3*w(z).\nAnswer: z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 197886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 20 + 2440*s**3 + 48*s + 15 - 47*s.\nAnswer: 2440*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 515616, 1031212, 1546810, 2062410, 2578012, 3093616?\nAnswer: 3609222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 + 109. Solve 0*q - 4*q - 3*u - 16 = 0, 0 = -z*q - 5*u - 24 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, v: 4, r: 2}. Give prob of sequence rr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 1 - (1 + (-4)\/10). Let 3\/5 + 9*o**2 - 21\/5*o - 39\/5*o**3 + i*o**4 = 0. Calculate o.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 352.2 and 1413875593.\nAnswer: 1413875945.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -24*j + 1. Suppose -5*f + 14 = s, -3*s - 5*f + 32 = -0*s. What is the remainder when o(-1) is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wttw when four letters picked without replacement from tttttttwttwgtgt?\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*a + 147 + 2 = -4*s - 691, 4 = 14*a - 27*a + 14*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 163 + 93?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1684962 divided by 81\nAnswer: -20802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/378 and 1\/4494?\nAnswer: 40446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 169 = -94. Solve 2*z = 4*l - 3 - g, 5*l - 20 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 2. Let f(q) = -q**3 + 4*q**2 - 5*q + 3. Let n(l) = -l**3 + 4*l**2 - 6*l + 2. Let h(u) = -4*f(u) + 3*n(u). What are the prime factors of h(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527784 is divided by 4928?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2595, 2597, 2599, 2601?\nAnswer: 2603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfbf when four letters picked without replacement from bbfvfvvvffvvvbvbvvv.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4575 and 2440.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(45) - sqrt(90)\/sqrt(2))\/sqrt(9) + 4)*6*-6)**2.\nAnswer: 518400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1.98. Let g = i + 0.02. Let r = 0.02 + 1.98. Do g and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 8, -4*y + 37 = 5*k + 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520 = -6*w - 710. Let m = w - -590. List the prime factors of m.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15716576 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + 0.5. Let v = -9.9 - -10. Put v, 1\/2, d in descending order.\nAnswer: 1\/2, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 - -49. Let a = l + 18. Let k = 133 + -663\/5. Sort a, k, 2 in increasing order.\nAnswer: a, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33+16674.85\nAnswer: 16707.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10477062 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 163\/489 - 17\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220\/10 + 546 - (2 - (8 - -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.9, 5, 0.06, 3\/5, 1\/7, 10?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 - ((3 - -2) + -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + t**3 + t + t.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*n + 0*n + n + 6*n to m + u*n and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 4*j + j)*(-4 + 9 - 8)*(-2 - 1 + 2).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o - 7. Let q = -6988 + 6982. What is h(q)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**3\/6 - 2*t**2 - 13*t + 1. Let x(p) = p - 4. Suppose -16 = -5*u + 13*u. What is u*m(i) + 3*x(i)?\nAnswer: i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -28*s + 15. What are the prime factors of m(-4)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131893 is divided by 8764?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 188.71 and -2374.6.\nAnswer: -2185.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cssauaaxcc. Give prob of picking 1 c and 3 a.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 939660 and 9204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1877 + 133 = 8*u. Let y = -143 - u. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/2871 in -1\/3, 4, -2\/5, 221?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**3 + 630*f**2 - 1240988*f - 2484480 = 0.\nAnswer: -960, -2, 647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1716?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 8:57 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n**2 - 31*n + 26. Let u be k(-7). Which is smaller: u or -84\/137?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 8*m. Let t = -26 + 26. Suppose t = 6*u - u - 35. What is b(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 4.999984. Round y to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 291913\/62 or 4708?\nAnswer: 291913\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.04 (b) -0.4 (c) 3\/19 (d) -16 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44507 is divided by 11082?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3699 + 1229 + 1237 + 1233 - 9*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (148\/(-10))\/(-1)*(-1 + 1 + (-365)\/146)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 9. Suppose 6 = v + r. Is v > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4147*f**4 + 19*f**2 + 245310*f.\nAnswer: 49764*f**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 1141.\nAnswer: 3423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/25 (b) 2 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23876 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*z - 20 = -48*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3164049 to the power of 1\/2, to the nearest integer?\nAnswer: 1779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 13159083?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/13097743 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22411368 rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.6, 3, 1\/764 in descending order.\nAnswer: 3, 1\/764, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 864\/84*(-574)\/(-4). Suppose 0 = -3*o + 7*l - 8*l + b, -l = 2*o - 984. Is o a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61\/904 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {y: 2, n: 4, t: 5}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*h + 62015 - 62011, 5 = -5*h + 19*a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 27. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-9))**(-4\/19)*((z\/(z*z\/(z*(z\/(z\/(z\/z**(-2)*z)*z))\/z)*z))\/z)\/z**11)**(2\/79) assuming z is positive.\nAnswer: z**(-346\/1501)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*g - 2)*(4 - 4 + 2)*(g - 5*g + 2*g).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 58 + -20 - (-8 + -2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 80\/25*50\/4. Let o = -38 + k. Suppose 20 = r - 5*p, o*r + 3*p = 2*p + 73. Is 36 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + y + 5. Let j be w(0). What is the derivative of j*n - 5*n - 2 - 2*n**2 wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4.4. Let a = 78.5 + -79. Let l = a - o. Is l bigger than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/3025 and -117\/2200.\nAnswer: 24200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -44, -5 in descending order.\nAnswer: 3, -3, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p - 3. Let v be (-6)\/27 + 38\/9. Determine i(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttitiiitiitt. Give prob of sequence tit.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(1\/((-6)\/8)). Let p = -0.0658 - 41.6342. Let r = p + 42. Which is the biggest value? (a) r (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17781254 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*q - 25 + 29 = 0, 0 = -3*z - 5*q - 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 + 12 + (2\/(-1))\/2. Let v be (66*(k - 1))\/2. Let s(t) = -3*t - 34 - t**2 + 0*t**2 + v + 0*t**2. Determine s(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 35870, 72674, 109474, 146270, 183062, 219850, 256634?\n\"Answer: -2*w**2 + 36810*w - 938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -26*h**2 + 10*h + 6. Let r(m) = m**2 + m - 1. Let n(j) = g(j) + 6*r(j). Let a(y) = 4*y**2 - 3*y. Calculate -16*a(i) - 3*n(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 - 10*c - 1. Let w(k) = k**2 + 9*k + 1. What is -3*m(x) - 4*w(x)?\nAnswer: 2*x**2 - 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -207*o**2 + 13*o + 11. Let d(h) = 209*h**2 - 13*h - 9. Let p(a) = -6*d(a) - 5*v(a). Find the second derivative of p(t) wrt t.\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -162728\/15 + 10848. Suppose 1 = -2*n - 1. Is m at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7082 - -25242. List the prime factors of k.\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -71*f**2 + 1. Let o(m) be the second derivative of -m**3\/6 + 563*m - 1. Determine o(i(b)).\nAnswer: 71*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 7*y**3\/3 + y**2\/2 - 4548*y. Let s(b) = b**2 + b. Give -k(p) + s(p).\nAnswer: p**2 - 13*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - -2 - (0 + -2). Let d(x) = x + 20 + m*x - 4. Let b be d(-8). Solve l + l = -b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.4036 less than 432182?\nAnswer: 432156.5964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1191*m + 37. What is the thousands digit of b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*w + 146*w = -84. Suppose l - 61 = -4*i, -w*l + 17*l + 79 = 4*i. What is the remainder when 78 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 40 = -4*s + 4, -6*s = 42 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.211 (b) 1 (c) 5 (d) -1\/4 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -94.7085.\nAnswer: -94.7085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/5, 9, 2\/23.\nAnswer: 2\/23, 0.3, 2\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*n = -325*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from eelelelelelll?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095538 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 19\/40, 0.1, -3, 5335?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23042279 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 264 + -124. Suppose -15*z + h = -10*z. Suppose -2*j + d - z = -114, -2*j = -5*d - 102. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -2*h**3\/3 - 10*h**2 + h. Let a(n) = -n**2 + 9*n - 4. Let z be a(10). What is the remainder when w(z) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*q**3 + 20*q**3 + 8*q**3 - 44*q**3 - 64*q**3.\nAnswer: -180*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4386 and 387?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 29. List the prime factors of 3\/n + 4011\/84.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/24)\/(2\/(-4)))\/(84*(-380)\/(-59584))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*((sqrt(475) - (sqrt(475) + 2 + 0))*3 - (sqrt(475) + -2*(-1 + sqrt(475)) - (5 + sqrt(475)*1)))**2.\nAnswer: -9545 + 300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 9*x**2 - 4 + (2*x + 4 - 4)*(2*x - x + 0*x))*(-119*x + 42*x + 62*x) - x**3 - 3*x**3 + 5*x**3.\nAnswer: -164*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170400132 to the power of 1\/2, to the nearest integer?\nAnswer: 34211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3366.1 - 3661. Let s = g + 295. Is 11 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-4)\/(8\/18). Let w = z + 27. Round w to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11164 - -11544. What is the remainder when y is divided by 172?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192 + 1183*w - 437*w - 578*w + 42*w**2 + 3*w**3.\nAnswer: 3*(w + 2)*(w + 4)*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 4175.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/70766472 and -25\/82560884.\nAnswer: 495365304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -14*z + 8. Let f(u) = -u. Suppose -3*a - 2*t = -t + 64, -106 = 5*a + 2*t. Let j(i) = a*f(i) + 2*c(i). Find the first derivative of j(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2057*w + 2830. What is the remainder when j(1) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, p: 2, b: 6}. Give prob of sequence bb.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2. Let s(x) = -524819*x - 1. What is s(q(k))?\nAnswer: 524819*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*v + 29 = 84 + 393 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 9*w**2 + 14*w + 8. Suppose 0 = 7*p - 3*p + 4*f + 152, 142 = -4*p - 2*f. Let o be (-2)\/6*14 + 11\/p. What is the tens digit of x(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -1.3847.\nAnswer: -0.27694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/o**(1\/26))\/o)\/(o**23\/o))\/(o**(-6\/7)\/o**(3\/17)) assuming o is positive.\nAnswer: o**(-61895\/3094)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.82135684 less than -34?\nAnswer: -36.82135684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 76169.16mm?\nAnswer: 7616.916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/((-1524)\/(-508)*(-2)\/(-78)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 292463*y + 1169854. Determine f(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-5) - (-184)\/(-40). Let a(o) be the third derivative of o**5\/60 + o**4\/24 + 2*o**3\/3 - o**2. What is the remainder when a(c) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**4 - a**2 + 5*a**4 + 6*a**4 + 6*a**3 - 24*a**4 + 5*a**4 - 11*a to y + q*a**2 + d*a + k*a**4 + g*a**3 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -61918\/3 or -20640?\nAnswer: -61918\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -0.5, 2\/3, -507\/11, 4\/3 in descending order.\nAnswer: 18, 4\/3, 2\/3, -0.5, -507\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146623208 or -146623203?\nAnswer: -146623208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3 - 3. Let j(c) = c**3 - c**2 - c. Suppose -5 = -l - 4*l. Let u(x) = -2*x**3 + x**2 + 3*x - 2. Let p(q) = l*u(q) + 3*j(q). Give p(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 3*v + 15, 4*o + 0*o + 2*o + 13 = -0*o - v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpewmhphpwhpwwf. What is prob of picking 1 p and 1 f?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence goh when three letters picked without replacement from gygyohhoooyy?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/((-291)\/(-1746)*1*-6)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 476197137 a multiple of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10487869.\nAnswer: 7, 113, 13259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4\/4 + 9*m**3\/2 + 9*m**2 - 105*m\/2 - 225\/4 = 0. Calculate m.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + 84. Let p = 109.93 - u. Sort 2, 0.1, p in decreasing order.\nAnswer: 2, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2583\/45 + 4\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170*249\/(-62084)*(-8)\/(-6)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-276)\/345 + 368\/60. Let 1\/3*f**3 + b + 8\/3*f - 7\/3*f**2 = 0. What is f?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -3*h - 3. Suppose -i + 4*o = -18, 2*i - 5*o = 26 + h. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + s + 104 = 0, -5*h + s = -h + 411. Let j = -58 - h. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292683427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0 (c) -1\/12 (d) 4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i - 2*i**2 + 3 + 4*i**2 + 0*i + 2*i**3 - 4 - 46*i**4 + 3*i as o*i**4 + l*i**3 + p*i**2 + g*i + c and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13319106 to the power of 1\/2, to the nearest integer?\nAnswer: 3650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.01\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -113077022 rounded to the nearest one hundred thousand?\nAnswer: -113100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26.3 - -26.3. What is the smallest value in -1, d, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 17*c - 5*c**2 + 6*c**2 - 1 + 18*c - 30*c. Calculate a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - -5*-3*sqrt(228) - (sqrt(228) + -6*sqrt(228)*-1 + sqrt(228)))\/((1*sqrt(972)*1 + sqrt(972))*-2).\nAnswer: 11*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1775*m**2 - 22*m - 1394. Let r(x) = -355*x**2 + 4*x + 279. Let d(v) = 11*r(v) + 2*y(v). Find the first derivative of d(b) wrt b.\nAnswer: -710*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, p: 8, w: 1}. Give prob of sequence wp.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-751)\/5*(-231 + 221)*538\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6556*v + 2629. What is the units digit of b(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 10. Let o be i(-10). Suppose o = -4*y + y + 39. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 8:14 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148089?\nAnswer: 3, 49363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y - 36 = -k, 0 = 5*k - 5*y - 185. Calculate the remainder when k is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 29*f**3 - 2*f**2 + 128*f - 3. Let g(u) = -u**4 + u**3 + u**2 + u + 2. Let b(v) = -2*g(v) - w(v). What is the second derivative of b(q) wrt q?\nAnswer: 24*q**2 - 186*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**2 + y**2 - y**3 - 3*y**2 + 1058*y + 9 - 1056*y. What is d(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137712, 275426, 413150, 550890, 688652, 826442, 964266?\nAnswer: 1102130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 213480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 21 - 53. What is the derivative of 10*n - 13 - 10*n - u*n + 2 wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*n**2 - 82*n**2 + 4 - 4 - 72*n**2.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/325*(-7)\/(21\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -446549, -2 in descending order.\nAnswer: -2, -4, -446549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-28) - (-43)\/7. Let r(m) = 4*m + 5*m - l*m. Let i(a) be the third derivative of a**4\/24 + a**2. What is i(r(y))?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from jassaajjjjasj?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 540 and 1112316.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-6 - -2) + 17 + -14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 10 = 5*b, 4*x + 20 = -0*x. Let w(v) = -4 + 3*v + v**2 - v**b + v + v**2. Let o(r) = r - 4. Let u be o(7). Calculate w(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1812 - -1816. Let x(n) be the second derivative of o*n + 0*n**3 + 0 + 0*n**2 - 7\/30*n**6 + 7\/6*n**4 + 0*n**5. Find the third derivative of x(l) wrt l.\nAnswer: -168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56300116?\nAnswer: 2, 19, 127, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*f**2 + 13*c**2*n**3*s - 39*c**2*n**3 + 8*c*f**2 - 25*c*f*s + 2*c*n - n**3*s wrt c?\nAnswer: 4*f**2 + 26*n**3*s - 78*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 2*l + 1. Let a be q(1). Suppose -2*w = -a + 2, -5*w = -5*g + 15. Sort 5, g, 0.\nAnswer: 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 5*l - 11. Let t be f(2). Suppose -2109 + 729 = -t*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 62 (b) 5 (c) -4 (d) -3\/7 (e) 441\/8 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1129842 by 1129842.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1821470 and 1810?\nAnswer: 329686070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 661544.\nAnswer: 5\/661544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5304, -2, -3 in descending order.\nAnswer: 5304, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -15633*w**2 - 40*w. Let t(z) = 34*z. What is t(g(i))?\nAnswer: -531522*i**2 - 1360*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700 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: Solve 27*u**3\/2 + 151329*u**2 + 235356*u - 134496 = 0 for u.\nAnswer: -11208, -2, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1 + 9*f + 0*f - 11*f. Let z be h(-1). Sort 1\/4, 0, z in increasing order.\nAnswer: 0, 1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 6*z + 8*z + 8 = 0, -4*z = 4*o + 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1100376460?\nAnswer: 2, 5, 53, 71, 14621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*y - 23, -5*d - 2*y + 1553 - 1540 = 0. Are d and -1\/1797 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 3*r = 10*r. Put 336, -3, r in decreasing order.\nAnswer: 336, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 722.8326 minutes?\nAnswer: 43369.956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 + 6*t**2 - 5*t**2 - 3*t + 110*t in the form v*t**2 + b + h*t and give h.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 4, -1 in increasing order.\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 963*x**3 + 662*x**3 - 2.\nAnswer: -301*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32.68 - 0.32. Let j = q - -29. Which is the smallest value? (a) 7 (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = -3*b + 141. Suppose -56*h - b = -61*h. Suppose 109 = 4*c - 199. What is the remainder when c is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u + u**2 - 14*u + 18 + 2*u. Suppose 33*b - 64*b + 434 = 0. Let f be v(b). Solve -2*y + 6 = f*w, 5 + 1 = 3*w + 3*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/18088*19*-68?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 42, -323 in decreasing order.\nAnswer: 42, 1, -4, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**3 + 7*g**2 + 109*g + 2669?\nAnswer: -6*g**2 + 14*g + 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5135716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvyyyyvmyyyyynvvy. What is prob of picking 1 y and 1 m?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4391, 16709, 37245, 66005, 102995, 148221, 201689, 263405?\nAnswer: 333375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:23 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6455.522 litres in millilitres?\nAnswer: 6455522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 6, 0, 4 in decreasing order.\nAnswer: 6, 4, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+1013164\nAnswer: 1013163.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -67*b - 30. Let k be n(-4). What is the greatest common factor of k and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 10. Let j be m(5). Let z be 3 - (0\/(-1) - j). Let h(n) = n + 10. Calculate h(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 570.5303 years?\nAnswer: 0.5705303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8102 + -7997. Let k be (-56)\/10*15\/(-2). Calculate the greatest common factor of k and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*u + 10, 4*u = 2*u + 6. Let p be (o - 3) + -2 + 7. Solve p*w = 9, -2 = 2*f + 4*w - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216000 divided by -432.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 5 = 3*f, 2*o - 820 = -3*f. Let s = o - 374. Solve s = -9*x - 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1792 and 16424268.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2746696.\nAnswer: 2, 343337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 0*t + 30 + t + 7*t - t**2 + 11*t. Let s be o(20). Suppose 3*n + l + 0*l = 10, 3*n = 4*l + 20. Calculate the highest common divisor of n and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -585*y**2 - 468*y - 468. Let n(k) = -k**2 - k - 1. Determine f(g) - 468*n(g).\nAnswer: -117*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*s. Let y be 1\/((-1)\/(-5)*1). Let m = y - s. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/(-12) - 10\/(-2). Let n = m + -33\/2. Calculate the common denominator of -4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h**(-2))*h*h\/(h*h**6*h*h)*h**(-3)*h*(h*h**(-1\/3))\/h*(h**(-3\/4)*h**(-1\/2))\/(h**(-1)*h*(h**(-1)*h)\/h) assuming h is positive.\nAnswer: h**(-91\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*t = -79*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -309 (b) 2 (c) -2\/21 (d) 4 (e) 35569\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 342.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -279694674 divided by 6678\nAnswer: -41883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1 + 6\/4). Let g = 4 - r. What is c in 8 - 3*c**2 + 6*c - g = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5\/4 + 2*y**4 - 3*y**3 - y**2\/2 + 13*y\/4 - 3\/2.\nAnswer: -(y - 6)*(y - 1)**3*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93*w**2 + 4973*w**3 - 4025*w**2 + 2994*w**2 - 2801*w**2 wrt w.\nAnswer: 29838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*r + 113*r - 54956 = -112*r. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h + 4. Let u be 1*-74 + (-14)\/(-1) + -9. Let o be (-7)\/(-3)*u\/23. Let y(l) = -5 + 2*l - l + l. Give o*x(d) - 6*y(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + 5 + -2*3*sqrt(425).\nAnswer: -30*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9152)\/20 + (3 - (-17)\/(-5)). Let d = h + 633. Calculate the greatest common factor of 200 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2449 - 2434. Solve 4*h + d*h = 19 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 43 + 2*h**2 + 5*h - 5*h.\nAnswer: 2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 2155, 2, 4 in descending order.\nAnswer: 2155, 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1055790889944*o**4\/5 - 1407728737268*o**3\/5 - 20135163*o**2\/10 - 18*o\/5 = 0 for o.\nAnswer: -4\/3, -3\/838964, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2 - 13247586*i - 43874633706849 = 0. What is i?\nAnswer: -6623793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10884?\nAnswer: 2, 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t - 3*m - 16 = 0, t + m = -4. Suppose -12 = -j + p, 4*j - 2 - t = -5*p. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -265920 or -265927?\nAnswer: -265920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.029 + -0.171. Let o = x - -14. Let n = -3 - o. Are 1\/4 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -949*g**3*h**3 + 2*g**3*h*t + 8*g**3*t + g**2*h*t - 16*g**2*h + g*h**3 + 734*h**3*t wrt g?\nAnswer: -5694*h**3 + 12*h*t + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4869936 divided by 48\nAnswer: -101457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 at most -1327496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79*k**3 + 66178*k**2 + 6819695.\nAnswer: -237*k**2 + 132356*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 1. Let s = -210 - -201. Let w be 2*3\/s*3*-2. Let a(u) = -4*u**2 - 2*u + 2. What is w*z(c) + 2*a(c)?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123 - 36 + 113)*(-3 + 1 - 2)*(-3*u**4 + 0*u**4 + 2*u**4).\nAnswer: 800*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0126 + 0.010724. Round p to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 50 = -11*t - 2*s, -4*t + s = -45. Calculate the lowest common multiple of 11 and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 59*r + 57*r + 2, -2*v = -4*r + 12. Factor -59*c**4 + 11*c + 52*c**4 + 9*c - 23*c**v - 60*c**2 + 5*c**5 - 12*c**3 + 77*c**3.\nAnswer: 5*c*(c - 2)**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1299866 (base 12) to base 4\nAnswer: -32010022032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 3*l - 5*l + 46 - 998*l**4 + 2000*l**4 - 1005*l**4 - 4*l**2 to p*l**2 + g*l**4 + m + j*l**3 + f*l and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153843*i*t**4 + 2*i*t**2 + 40555288*i - 56*t**6 - 2*t**2 wrt t.\nAnswer: -3692232*i*t - 6720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196905 = 12*m - 134079. Suppose -m = -2*u - 5*q, -69021 = 5*u - 10*u + 4*q. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 12:42 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 93706*(19 - (-407)\/(-22)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -18437779?\nAnswer: 18437774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 - 33*d**3 - 27*d**3.\nAnswer: -65*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((252\/(-12))\/273)\/(2\/2).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84620?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284123 is divided by 56823.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 427 and 1072197.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v**2 + 372*v + 200. Calculate the remainder when m(41) is divided by 122.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmoagi. What is prob of sequence iw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 806 a factor of 6932406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.35 + -1. Let f = 0.05 + k. Let p = 7.2 - 7. Which is the third biggest value? (a) 2\/3 (b) f (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-14\/9)*o)\/o)\/o**(-3\/23)*o**0*o\/(o**(-1\/18)*o) assuming o is positive.\nAnswer: o**(-63\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 7. Let w(j) = -5*j**3 + j**2 + j. Let b be w(-1). Let r be n(b). What is the units digit of -9*(r + 7\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 1 + 7288*q**2 - 1 - 7305*q**2 + q**3 - 1 to the form d*q**2 + x + z*q**3 + y*q and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2080620 - -0.8116\nAnswer: -2080619.1884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - i - 25 = 0, 5*l - 5*i - 28 - 49 = -27 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (932\/6 - 2)*252\/168. Suppose -13500 = -240*p + f*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05455 - -1.94545. What is the smallest value in 3, 266, -4, -1, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (220\/16)\/11*456\/95?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2 - 14*y - 28. Let h(b) = b**2 - 1. Let l(x) = -5*h(x) - s(x). What is the remainder when 4 is divided by l(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00088144713 rounded to 7 decimal places?\nAnswer: 0.0008814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1418116*g**2*s + 11320*g**2 + 3*g*s + 2*g - 1 with respect to s.\nAnswer: -1418116*g**2 + 3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpzzzzjjbffc. Give prob of picking 2 j.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-37 - 0)\/((-24)\/48). Calculate the highest common divisor of i and 666.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 77 + 81 + 2*y)*(13 + 15 + 20).\nAnswer: 192*y + 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 517291353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 455*j - 8016. List the prime factors of h(56).\nAnswer: 2, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6, 2, -6\/11, 12?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*m + 92*m - 9 = -2*n, 0 = 3*m - n - 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -23*y + 3515. What is j(151)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*-138.\nAnswer: 110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -28.\nAnswer: 17\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvtvvvzezuzzvzevvt. Give prob of picking 1 v and 1 t.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + -72 + 26 - 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -135*g + 909 + 152 + 829 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*b + 6 - 0, -b = 1. Sort a, 2, -3, 0.\nAnswer: -3, 0, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 400993\/7 or 57285?\nAnswer: 57285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + -131\/2. Let l be 76\/(-90) - ((-304)\/(-40) - 8). Which is the fourth biggest value? (a) -0.3 (b) l (c) m (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02396 to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*a + 6 + 2*a**3 - 19*a wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19210402, -19210407, -19210424, -19210459, -19210518, -19210607?\nAnswer: -19210732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(126) - sqrt(252)\/sqrt(2))\/((sqrt(7) + (sqrt(7) - -4*sqrt(49)\/sqrt(7)))*6) + 3.\nAnswer: -sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14200033 (base 5) in base 7?\nAnswer: 1151155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/8 and -5\/2469864.\nAnswer: 2469864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(2 + 84)\/(-2). Let o = t + 111. Is 34 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 12) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 15. Let w(s) = -s**2 + 11*s - 18. Let n be w(y). Suppose -n*v + 816 = -42. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/(b\/(b*b\/(b\/b**(-1))*b))*b*b))**(-8) assuming b is positive.\nAnswer: b**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 16. Let r be o(11). Suppose 0 = -5*k + 5, -4*s + 6*s - 53 = -r*k. Calculate the remainder when 68 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4235) - (-2*sqrt(420))\/sqrt(12))\/(2*sqrt(20)*4).\nAnswer: -9*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 41*v**2 + 6*v - 348. Let o(g) = g**2 + g - 1. Let b(p) = m(p) - 6*o(p). Find the first derivative of b(r) wrt r.\nAnswer: 70*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 - 7*z + 2. Let m be l(5). Suppose 3*u - 3 - m = 0. Suppose 6*n = n + u. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9*c + 54. Let r(t) = -16*t - 112. Let d(p) = -5*r(p) - 9*y(p). Let w be 0\/((-2)\/(-3)*3). List the prime factors of d(w).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d = -34*d + 7657. Let c = 1903 - d. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 8*d**3 + 7. Let o(k) = 2*k**3 + 1 - 2*k**3 + k**3. Let h = -1 - 1. Suppose -p + 2*j + 22 = 0, j + 18 = p - 0. What is h*b(u) + p*o(u)?\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 177 = 15*d. Calculate the common denominator of (2\/4)\/(4 - d\/45) and (2\/76)\/((-8)\/(-368)).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 24 + 17 + 0*b**3 - 9*b**3.\nAnswer: -9*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 12*m - 1 + 7*m. What is i(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - z**2)*(-435 + 31*z + 435 + (-3 + 2 - 1)*(-3 + 3*z + 3)) to the form f + r*z**2 + s*z + t*z**3 and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1974 - 1869. Let p = 38 + 16. Calculate the remainder when k is divided by p.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**3 - 232422*a**2 + 20430420*a - 39931176 = 0.\nAnswer: 2, 86, 77386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 11:27 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.053 - -0.593. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -3. What are the prime factors of (-106)\/(-4) - k\/2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**2*s**2*x - 2*f**2*s**2 + 2*f*s**2*x - 10*f*x + 4*s**2*x wrt f?\nAnswer: 10*s**2*x - 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/2)\/((-3235)\/360 - -9). Let s = h + -246. Solve -3*p + 0 - 2 = -4*w, -p = 4*w + s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94280 to the power of 1\/2, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127026 is divided by 281?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351733 to the power of 1\/2, to the nearest integer?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 7*t**5\/5 - 5*t**3\/6 - 15*t**2\/2 - 106*t. What is the second derivative of a(s) wrt s?\nAnswer: 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000614671 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -68666, -5 in decreasing order.\nAnswer: -3, -5, -68666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 20 - 106 = 0. Let v be 138\/o - 4\/14. Calculate the remainder when 13 is divided by 6 + (0 - (2 - v)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 12:10 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 85425787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7 + (-17 - -23 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32071059?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 3\/7 (b) -114 (c) -3.72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69999546 is divided by 155?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -4)*1 - -118. Let z(o) = -c*o + 117*o - 2*o**2. Let h(p) = -8*p + 2 - 2. Calculate h(z(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**3 - 5536*s**2 + 11078*s - 5540 = 0.\nAnswer: -2770, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 19030*w**2 + 728555*w - 6938420.\nAnswer: -5*(w - 19)**2*(w + 3844)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -56*v**2 - 5*v + 5. Let z(d) = 1092*d**2 + 98*d - 98. Let w(o) = -98*r(o) - 5*z(o). Let x(j) = 4*j**2. Give x(w(c)).\nAnswer: 3136*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1.21, 1.8, -1, -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 27, 52, 97, 168, 271?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/14)\/(18\/(-8316)*165).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0103 and 0.0368?\nAnswer: 0.00037904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*y + 5506 = -87*y - 2819 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 18 + (4 - 1) + (-1675 - -1684)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -203.22 - -204. Let g = -0.68 + t. Let p = -2 - -1. What is the nearest to -2\/5 in -5, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -33, -36, -35, -30, -21, -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 4:44 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + j = 13, 14 = 103*p - 46*p - 53*p - 2*j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 57564753?\nAnswer: 57564755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 504 - 501. Let t(d) = -8*d**3 + 3*d**2 - 3*d + 3. Let f(c) = 23*c**3 - 8*c**2 + 8*c - 8. Give h*f(o) + 8*t(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3.5 times -12836\nAnswer: -44926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1303207 is divided by 58?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s - 46. Let y be ((-5)\/(-2))\/(510\/(-1836)) - -18. Give p(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 24. Let r = -103 - -121. What is the remainder when 22\/r - 1 - 21973\/(-387) is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1123 - -5?\nAnswer: -1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a = -440. What is the highest common divisor of a and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/30)\/(4\/10). Calculate the common denominator of o\/4 - 49\/(-9) and -2 - (46\/(-4) - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6, 9, -79, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 18 (b) 2\/9 (c) 4\/7 (d) 0.84 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1494 + -2159. What is the thousands digit of (-20636)\/(-19) - (-14)\/c*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2642113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 515674.\nAnswer: 9282132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/3 + (-10)\/(-130)*-13. Let r = 0 - 0. Let x = 1.7 + -2. Which is the nearest to p? (a) x (b) r (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 212*d - 1620. What is the least common multiple of 88 and m(-8)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19744523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1102100 (base 4) to base 11\nAnswer: -3a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 0*m**2 + 1 + 7*m**3 + 2*m**3 - m**2 - m. Let b be w(2). Let y = b + -40. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 y, 1 r, and 1 e when four letters picked without replacement from eecccyyyrececyyeeye?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 2:16 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2012, 2013, 2014, 2015, 2016, 2017?\nAnswer: 2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -68 + 0?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - v + 7. Let k be w(0). Suppose 0 = r + 3*n - k*n + 9, -r = -3*n + 4. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 22*a**2 - 2504*a - 431. Give g(114).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6633 and 12864.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 2\/5 + 3\/(-5). Put w, 1, -4 in ascending order.\nAnswer: -4, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -157?\nAnswer: 1\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-4))**(22\/7))**(17\/3)\/((t**(-2\/7))**26*t**(3\/5)\/(t*t**(-2\/17))) assuming t is positive.\nAnswer: t**(-49816\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*i - 5 + 14*i + 5*i wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -26*o + 74. Let z(r) = 5*r - 15. Let p(d) = 3*n(d) + 16*z(d). Let s(f) be the first derivative of p(f). Let g(v) = -v**2 - 7. Give 4*g(y) + 14*s(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179526 is divided by 249.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**2 - 5*c + 5. Let k(b) = -5*b**2 + 68*b - 2. Let z(t) = -12*t + 1. Let g(q) = k(q) + 6*z(q). Let h = -9 - -5. Calculate h*l(a) + 5*g(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = y - z, -3 = y + 5*z + 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/8)\/((-390)\/5200)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 693081193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5702070 and 770.\nAnswer: 39914490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 236 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 175 + 172 - 25*z + 174 - 521. Suppose -4*h = -6*h + 6. Let l(x) = 2*x. What is h*t(c) + 35*l(c)?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.57 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 4, -285?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -12. Suppose -m*x = 2*x. Suppose x = 4*c - g - 7 - 20, 42 = 4*c + 2*g. Solve 5*r = 3*r + c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 = 60*q - 110*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27895\/2066 + 2\/1033. Let p = 363 + -362. Calculate the common denominator of p - -4 - (165\/(-10) + -3) and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 3 (c) 0.13 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2 - 2 + (1 - 1 + 2*i)*(2 + 1 - 1) - 4*i - 3 + 3 + (3 - 1 + 0)*(-2 + 2 + i) - 896*i - 1650*i + 741*i)*(0 + 2 - 3).\nAnswer: 1805*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -3*t + 143. Suppose 551 - 5 = 39*i. What is the greatest common factor of i and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 1.51?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68011.8 and -2?\nAnswer: -136023.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 i when three letters picked without replacement from mmmmmmmmmimimmimmm.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 298 + -291.05. Let r = 99 + -99.05. Let v = s - r. What is the fourth biggest value in -0.3, -0.4, 0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 7. Let l(b) = -2*b**2 + 3 + 0 + b**2. Let w(q) = -6*a(q) - 14*l(q). Let c(v) be the second derivative of v**3\/3 + 2*v - 13. Give w(c(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -542 (b) -3\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -107*b**2 - 18*b - 30. Give d(-2).\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/15)\/p*p**4*p**(-2\/7)*(p*p**(3\/7)*p)\/p)\/((p**(-6)*p*p)\/p**(-4))**9 assuming p is positive.\nAnswer: p**(554\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3930 divided by 786\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5\/((g*g**(-2)\/g)\/g))**(6\/23) assuming g is positive.\nAnswer: g**(48\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -11*w + 135. Let q(l) = -6*l + 67. Let f(r) = -3*o(r) + 5*q(r). Let z be f(20). Let p = -6 + 2. What is the smallest value in p, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 13) in base 5?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/((-10)\/(-4)) + 10. Suppose r = -3*r + a. Suppose 0*q + 4 = -2*q, -r*q - 171 = -3*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 7*u - 6. Let d(t) = -2*t**2 + 9 - 4*t**2 - 8. Calculate d(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(187) - sqrt(187))\/sqrt(11) + sqrt(34)\/sqrt(2)*6 + 3 - (-4*(sqrt(17) + -4) - 4*sqrt(833))**2.\nAnswer: -17661 + 1027*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -859, -1497, -2133, -2767, -3399, -4029?\nAnswer: -4657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7584 and 13760220.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltlxxllxhthhdxhlhx. What is prob of picking 1 x, 2 h, and 1 l?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28481 is divided by 13902?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/3 + 93*s**2 - 1610*s - 1225\/3.\nAnswer: -(s - 35)**2*(4*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 167166570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21417 less than 21419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 49132, 196522, 442150, 785998, 1228048, 1768282, 2406682?\n\"Answer: -3*p**3 + 49137*p**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 500, 496, 488, 476, 460?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7236515?\nAnswer: 5, 11, 13, 29, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cckckkcckhh. Give prob of picking 2 h and 1 k.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 568 and 12792.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 4*m**2 + 3*m - 6. Let j be o(4). Let g be ((-5)\/(-3))\/((-5)\/(-15)). Let w be 4\/((-16)\/g)*-4. Solve w*f - 26 = -j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n + 4. Let y be b(3). Let u = y - -38. Let k = -4 + u. Calculate the smallest common multiple of k and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 121975*a - 211083 wrt a?\nAnswer: 121975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17c + -1214?\nAnswer: -1392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1596 + 1616 - x - 2*x)*((1 + x - 1)*(2*x + x - 4*x) + 2*x**2 - 2 + 2 - x**2 + 2*x**2 - 3*x**2) as p*x**2 + d*x**3 + r*x + h and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4417 + 8808. Let t = j - 2332. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -0.5, 0, 617941, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*y - 35*m + 522 = -30*m - 364, 7*m - 2 = 2*y + 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**3 + 8*g**2 + 6*g + 5. Let j(m) = m**2 + m + 11. Let v be j(0). Let c = v - 19. Let l(d) = -3*d**3 - 5*d**2 - 4*d - 3. What is c*l(w) - 5*h(w)?\nAnswer: -w**3 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 387 and 2365?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -91 + 5?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**4*z + 6529*n**3*z - n**3 - 8*n*z + n - 1493*z wrt n?\nAnswer: 24*n**2*z + 39174*n*z - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, 10, 18, 28, 40, 54, 70?\n\"Answer: h**2 + 3*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3109, -4841, -6511, -8089, -9545, -10849, -11971, -12881?\n\"Answer: 5*d**3 + d**2 - 1770*d - 1345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a**2 + 8*a - 9. Let l be b(-7). Suppose -2*y - y - l = -j, j = -2*y + 160. Let z = j + -98. What is the greatest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 80, 398, 936, 1688, 2648, 3810, 5168, 6716?\n\"Answer: -p**3 + 116*p**2 - 23*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*p - 98 = 0, -h + 3*p = 3*h - 142. Let a = -26 + h. Calculate the highest common factor of 88 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - -2*sqrt(204))*-2 + sqrt(204) - sqrt(204) - sqrt(204))\/((sqrt(96)\/sqrt(2))\/sqrt(4)).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -6 + 0 + 4 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 10 = 10. Let k be (2 - t) + (8 - -1). Let i be (5\/k)\/(10\/18). Sort 4, -2\/11, i.\nAnswer: -2\/11, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.14392 decades to centuries.\nAnswer: 0.914392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccc. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-11742)\/(-824))\/(1 + (-77)\/80). Calculate the highest common divisor of 320 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 9:16 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/7389079 or -1?\nAnswer: -6\/7389079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.755 + 0.015. Let t = 40.74 + x. Let h = 37 - t. Which is bigger: -6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6103143, -6103144, -6103145, -6103146, -6103147, -6103148?\n\"Answer: -h - 6103142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvvn when four letters picked without replacement from {f: 2, v: 4, n: 2, t: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 37*o**2 - 159*o + 214. Calculate w(-41).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1074 - 2?\nAnswer: -1076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*(-16)\/23616*2009*(-6)\/7.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 - 352*v**2 - 38*v + 6928. Calculate n(176).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 661120169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 14*c**2 + 12*c - 27. Calculate the lowest common multiple of 14 and f(-11).\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -171 - -271. Let -l*q**3 - 142 + 22*q**5 + 40*q**2 - 8*q**4 + 110 - 2*q**5 + 80*q = 0. What is q?\nAnswer: -2, -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) - (-10)\/(-4). Let m be (-2 + 1)*(l - -4). What is the nearest to -0.2 in m, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-96)\/15)*12*(-76)\/114.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 y when three letters picked without replacement from {y: 14, j: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-21)\/u**(-9\/5) assuming u is positive.\nAnswer: u**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15017811 is divided by 113.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b**5 + 17*b**3 + 22*b**4 - 9*b**5 + 24*b**2 + 30*b**3 = 0. What is b?\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303021 (base 6) in base 4?\nAnswer: -11312311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3)*6*(-17)\/(-68). Solve d - s - 3*s = 17, -5 = 5*d - w*s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -20, 2, 6, 5\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 255*t**2 - 11727*t - 139. Determine w(46).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 884961.4 kilograms to tonnes.\nAnswer: 884.9614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -690*g. Let c(d) = -98*d**2. Give c(i(l)).\nAnswer: -46657800*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (16\/120*-9)\/((-1566)\/4640)*-9\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -14. Suppose -o*t - 25 = 0, 0*i - t + 58 = i. Suppose -2*j + 36 = 5*k, -5*j + k = -0*k - i. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -628 = -2*d - 3*a, -4*a - 385 + 93 = -d. Let p = 149 + -105. Calculate the greatest common factor of p and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 12:13 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 6, 1\/5, -0.25, 0.1, 5, -105?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/4 + 1009*l**2\/2 + 2329999*l\/4 + 581995 = 0 for l.\nAnswer: -820, -1, 2839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 146, 150?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4565, 3.73, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/8 + (-2558)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171)*2 + sqrt(171))\/sqrt(9).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/247)\/((-41)\/(6027\/98)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982816?\nAnswer: 2, 30713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**4 - 3*m**3 + m**2 + 3*m = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 d when three letters picked without replacement from {d: 7, o: 3}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 3*d + 4 - 1\/4*d**4 + 0*d**2 + 4\/3*d**3. Give t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/4284 and -1\/33?\nAnswer: 47124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.3 - -2.3. Let c = 9.988 + k. Round c to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 379 + -379.3. Which is the closest to 1\/3? (a) -2.2 (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 17055456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/17862 and -67\/15.\nAnswer: 89310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 12:22 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.8859 - -0.0721. Let g = x + 0.042. Let d = -19.882 + g. What is d rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 - 48. Let a(w) = 2*w. Suppose -2*l + j + 10 = 0, 0*j - 15 = -3*l - 2*j. Let u be a(l). What is the greatest common factor of u and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 1003. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 1305666*l - 426190925889.\nAnswer: -(l - 652833)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 w, and 1 k when three letters picked without replacement from {s: 2, d: 1, w: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/4062966 and 197\/666060.\nAnswer: 40629660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33493\/3280 - 371\/41. Calculate the common denominator of 79\/88 and f.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 2 z when four letters picked without replacement from zgzwwoee?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 858 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3539 and 2402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3081*q + 15409. What is h(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -263.4 - -0.3\nAnswer: -263.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.52, 6, 0, -24 in decreasing order.\nAnswer: 6, 0.52, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3976 divided by -284.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/5, -4, 54, -2\/9 in descending order.\nAnswer: 54, 7\/5, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64.6 - 65. Let g = 1 - 1.5. Let l = -1 + 1. Which is the closest to l? (a) f (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 123, 139, 173, 231, 319, 443?\n\"Answer: r**3 + 3*r**2 + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -75, 6, 7, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 13, -32, -111, -236, -419, -672?\nAnswer: -1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.03, -6, -58597.2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1642537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 5. Let s(f) = -7*f - 41. Calculate s(g) - 2*y(g).\nAnswer: -5*g - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104760469 and 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3518 - 3517. Put 28, -4, -2, p in descending order.\nAnswer: 28, p, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2169, 2211, 2253, 2295?\nAnswer: 2337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000 + -110102?\nAnswer: -102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 2*c**2 - 3*c**2)*(3*c - c - 3*c)*(2 - 4 + 5).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(1539)) + sqrt(1539) + sqrt(1539) + sqrt(1539) + -2 - (sqrt(1539) + 0 + -4 + sqrt(1539) + 2 + sqrt(1539)*1))**2*6 + 5.\nAnswer: 147749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 37*i + 383. What is l(22)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.907 plus 0.11?\nAnswer: -15.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -4\/5*b**5 - 3 + 5\/18*b**6 + 0*b**2 + 0*b + 3\/4*b**4 - 2\/9*b**3. Factor d(q).\nAnswer: q**2*(q - 1)**2*(5*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 536237593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3324*o + 7 = 3323*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7499.87 and -3?\nAnswer: 22499.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vaav when four letters picked without replacement from {a: 4, v: 7}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m + 27*m**2 + 78*m - 31*m**2.\nAnswer: -4*m**2 + 68*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 793?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 16) in base 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o - 1. Is m(-8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-1 + 1) - (53 - 50)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 8:12 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65968 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1 - -1) - (-4 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(4\/(-2))*25020\/3336.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*r**2 - 63 - 31 - 2*r**3 - r**2 - 5*r**3 with respect to r.\nAnswer: -21*r**2 + 26*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170 and 868326.\nAnswer: 4341630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 16 + 1)*(3*c + 4*c - 3*c - 20) as l*c + j and give l.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 4*f - f)*(0 + 0 - 2) to s*f + v and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 23 + 25 = 0. What is the highest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 148192604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44380.\nAnswer: 2, 5, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 7 + 0 - 15) + 0 + 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 124893565?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - 0\/2 - (-10891 + -2). Suppose -5*v - 3909 = -l. List the prime factors of v.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**3 - 5289867*u**2 + 11893573*u - 2?\nAnswer: -12*u - 10579734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/31151495 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 3\/43654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*p + 85*p + 5 = -j, 15*p + 81 = 17*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -16. Suppose y*r = 739 + 287. Suppose p + 4*p = -3*q + 620, 4*p = q + r. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = -1. Suppose 0*w - 4*w + 120 = -r, 0 = -t*w - 4*r + 109. Suppose 0 = -3*x + 33 - 0. Calculate the remainder when w is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - v - 2. Let r(f) = 6*f**3 + 4*f**2 + 4*f + 15. Let g(k) = r(k) + 5*y(k). Give g(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llrl when four letters picked without replacement from lrllrrrllrlrrrrlrrr?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2268 is divided by 100?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:32 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318 by 159.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - 77. Suppose 4*b = 3*n - 442, -3*n + n - 4*b + 308 = d. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**4 - 101*p**2 + 13*p - 35?\nAnswer: 36*p**2 - 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2\/9 + 96500*n\/9 - 1164031250\/9 = 0.\nAnswer: 24125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(12) + sqrt(48) + 5)**2 + 0.\nAnswer: 45*sqrt(3) + 343\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -119*k**4\/12 - 5*k**3\/3 + 41*k**2\/2 - 2753*k. What is the derivative of m(b) wrt b?\nAnswer: -238*b - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**3 + 2912*i**2 - 973728*i - 64012032 = 0.\nAnswer: -56, 756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3428 + -74359104.\nAnswer: -74355676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.040113 and 6.\nAnswer: 0.240678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 11*h**2 - 12*h + 7. Let a be o(9). Let t = a - 327. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.88 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 4. Let a(f) = -9*f - 5. Let q(t) = -13*t - 4. Let i(m) = -3*a(m) + 2*q(m). Calculate -11*c(z) - 6*i(z).\nAnswer: 5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -6, 47, 152, 327, 590, 959, 1452?\nAnswer: 2087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*n - 20, -42 + 54 = -5*f + 3*n. Solve -x + 3*u = f, -25*x + 28*x + 5*u + 14 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**8\/960 - z**6\/720 + z**4\/3 - 6*z. Let o(f) be the third derivative of k(f). What is the second derivative of o(s) wrt s?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*(sqrt(272) + -2*sqrt(272)*1 + sqrt(272)) + 4)*-3)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b - 23. Let m be v(-13). Solve 5*n - h + 0*h + 3 = 0, h - m = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -477*d**4*l + 2719*d**4 + 4*d*l + 28*d + 2*l - 3 wrt d?\nAnswer: -5724*d**2*l + 32628*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w - 28*w + 6*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/48*(6 + 70\/(-12))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(-10 - 1974\/(-196)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40511.03 micrometers in kilometers?\nAnswer: 0.00004051103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/267 or 2.5?\nAnswer: -5\/267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3 - 7, 5*a + 5*n - 75 = 0. Solve -3*o = a - 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -22 - -7 - (7 - (22 + 2)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 72*u - 77*u. Calculate the least common multiple of u and 57.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 1 - (2 + 9\/(-3)). Suppose m*f - 2520 = -10*f. Suppose 0 = 8*c - 9308 - f. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 - 10962*b - 10979*b - 10976*b + 32917*b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -51. Which is the nearest to j? (a) -1\/2 (b) 0.3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6605 - -11401. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x**3 - 4*x**2 - 3*x + 10. Let z be m(7). What is the derivative of 56*v**3 - z - 154*v**3 + 3014 wrt v?\nAnswer: -294*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 813316.6 millennia?\nAnswer: 9759799200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 83 + 77 = 0. What is the smallest common multiple of 36 and b?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1014, -4043, -9090, -16155?\n\"Answer: -1009*w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/95 and 82\/399.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-105)\/(-33) + -3)*(-1710)\/16. Let s = -156\/11 - l. Find the common denominator of 91\/48 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 658700.\nAnswer: -658697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 4961126431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -308, -334, -382, -464, -592, -778, -1034?\n\"Answer: -2*k**3 + k**2 - 15*k - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/2625*14\/6*-5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -7*j**2 + 0 + 3\/2*j**3 + 0*j - 1\/3*j**4. Differentiate p(w) with respect to w.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2369, 2365, 2359, 2351?\nAnswer: 2341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - m + 7. Let l be 51\/17 - 1*-1. Suppose c - 3*j - l = 3, -c - 3*j + 1 = 0. What are the prime factors of g(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 1 (c) 181.84418\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from {r: 2, a: 3, j: 1, d: 4, y: 7, i: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-14) + 3336\/(-7). Let u be (24\/(-14))\/((-8)\/m). Let o = 40 - u. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42.3 - 43. Let x = 1.8581 - 1.1542. Let v = d + x. Round v to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**8\/3360 - x**7\/1080 - x**6\/540 - x**5\/12 - 4*x**2. Let l(m) be the third derivative of z(m). Find r such that l(r) = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 d when three letters picked without replacement from djxd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u + 9. Let t(a) = -7*a + 19. Let p(s) = -5*m(s) + 2*t(s). Let f be p(5). Round f to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31*39\/1209*(-1)\/(-34)*-6?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*18\/(-315) + 1013\/155 + -7?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -5\/42*l**8 + 0 - 13\/20*l**5 + 0*l**6 + 0*l**7 + 0*l**3 + 0*l - 13*l**2 + 0*l**4. Find the third derivative of q(a) wrt a.\nAnswer: -2400*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -9\/2*j**2 + 10\/3*j**3 + 137 + 12*j + 1\/4*j**4. What is t(-11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.143, -3, -0.2, 0.5, -10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9310120.\nAnswer: 2, 5, 232753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -3\/7, 20, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((245\/42)\/35).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1411980, 2823949, 4235912, 5647869, 7059820, 8471765, 9883704?\n\"Answer: -3*b**2 + 1411978*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 248279, 496551, 744831, 993119, 1241415, 1489719, 1738031?\n\"Answer: 4*r**2 + 248260*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -32223020122 (base 4) to base 6\nAnswer: -214240414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131 - 78. Let t = 170 - h. Suppose 3*y - t = -3*o, -5*y + 2*o - 57 + 217 = 0. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -292.5 + 293. What is the biggest value in -1, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/16 + (4 - 2252\/(-16)). Let s = 139 - u. Suppose m + 14 = -5*d, 0*m - 3*d = -m + 2. Are m and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1285 + 4*u**2 + 1285 + 33*u**2. Let i(f) = -3*f. What is i(a(o))?\nAnswer: -111*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1b6 (base 15) to base 3\nAnswer: 112200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -2. Let x = 6 + y. Suppose 4*h - 5*d = 40, -5*d - 25 = h - 2*h. What is the third smallest value in h, -2\/13, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 2 - 2)*(2 + 6 - 7)*(1 - 1 - 4) to the form q + a*z and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8 = y. Solve -7*l**2 + 3*l**3 - y*l**2 + l**4 + 12*l**2 - 3*l - 2 = 0 for l.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 + -47. Solve -3*v + d = 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -22*p + 41. Suppose 10*g - 14*g + 3*m = 22, 3*g + 2*m = -8. Let l be i(g). Calculate the highest common divisor of 43 and l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((-5 - (-13 - (-5 - 2))) + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 7*i - 4. Let r be z(-4). Let m be (-1)\/5 + (-112)\/(-35). Let o be 7 + (3 + 0)\/m. What is the highest common divisor of r and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.32 - -0.22. Let l(g) = 6*g**2 - 12*g - 10. Let v be l(-6). Let t = v + -2227\/8. Which is the second biggest value? (a) w (b) 2 (c) t (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7578*h - 7591*h - 65 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 2, 23, 56, 101, 158, 227?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 9*t**2 + 22*t + 29. Let d(n) = 8*n**2 + 12*n + 28. Let q(x) = 5*d(x) - 4*g(x). Solve q(r) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 + 987*o**2 + 226*o**2 + 274*o**2.\nAnswer: -3*o**3 + 1487*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1860 - -1871. Solve -5*t + 5*c + 5 = 0, -d*t - 4*c = -12*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 806459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**(-1\/6)\/p)*p**(-4)\/p*p**(-1\/6)\/p**(-2\/3)*(p*p*p**(2\/11)*p**(-5))**0 assuming p is positive.\nAnswer: p**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*15\/6*-2. Suppose 0 = 3*c + 3*r + 12, -r = 5*c + 3*r + 16. Solve c*m = -n*m + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 - (107 + -67) - (-14 - -2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blmlmmlblmlbl. Give prob of picking 1 l and 1 m.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.422*-6.2\nAnswer: -8.8164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 40 = -0*n - 5*b, 0 = -b - 1. Let r = n - 6. Suppose o + r + 2 = 0. Is o less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/424 and 1\/10120?\nAnswer: 536360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 109890 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -6*u - 33. Suppose -17 = j + 3*d, -d - u = 3*j + d. What is the units digit of j\/(-10) + (-390)\/(-50)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 28 = -4*c. Let x(t) = 2*t**3 + 3*t**2 + 2*t + 3. Give x(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 35*t**2 + 153*t - 4043. Let p be i(34). Let n be -2 + 2 + (-10)\/346. Let z = n + 7331\/2249. Which is greater: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*p - 80*p + 2740 = 0. What is the remainder when 224 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, -1, -2723796?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*35\/10*1. Suppose 9*i - v = -5*i. Solve 5*c + i*s = 12, 10 = -4*s + 26 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) 2 (b) -312 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -9*w - 5. Let d(f) be the second derivative of -5*f**3\/3 - 3*f**2 + 23*f. Give -6*d(p) + 7*k(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-72)\/10)\/(-9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(147)*1)**2 + sqrt(147))*5 + sqrt(54)\/sqrt(2) + sqrt(3)*3*4.\nAnswer: 50*sqrt(3) + 730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n + 31. Let v be l(0). Let r = -98 - -439. Calculate the greatest common factor of r and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 453096 divided by -8091\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 + 109. Suppose 3*k + 13 = -2*t, 0 = 2*t - k - 1 + y. Let m(v) = -v**3 - 4*v**2 + 8*v + 3. Calculate m(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 + 75 = -3*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 3*k**5\/25 - 66*k**4\/5 + 522*k**3 - 40368*k**2\/5 + 73167*k\/5 + 243. Factor v(i).\nAnswer: 3*(i - 29)**3*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2572?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 7) + (-1)\/(-2). What is the closest to 0.1 in -2\/9, p, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 1 - 3 + 1 + 1 - 3 + (-4 + 3 + 2)*(-2 + 2 - 2))*(2*m**5 + 0*m**5 - m**5) + m**5 - 9*m**5 + 0*m**5.\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 3, 29, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67876 - 67876 - 277404*w + 54040*w - 247125*w.\nAnswer: -470489*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 1:52 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 7. Let q = 0.02 - 6.02. Let g = d - q. What is the closest to g in 1\/2, 0, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 388 and 28.\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7150591 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, -9, -47, -121, -243, -425?\n\"Answer: -2*i**3 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/30*(-33)\/(-55).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 378460150919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -14*k**3 + 12*k**2 - 13*k - 5. Does 10 divide a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2514 * -2800\nAnswer: -7039200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 352 in 0.5, -18, 6, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 2*r + 6*r + (2*r - r - 2*r)*(-2 + 3 - 2) + 18541 - 162*r - 18541 to the form h + o*r and give o.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, k: 3, a: 1, p: 2, x: 1, d: 3}. Give prob of sequence cc.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**2 + l - 5 + 3 - l**3 - 8*l**2 + 2*l**3. Let a be h(4). Is 0 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134 + 214. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -d + 2*j, 2*j + 2 - 10 = 0. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - (-7 + -5)) + (0 - (2 - 7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 1. Suppose q - 17 = -5*o, 2 = 2*o + 4*q - 2*q. Let k be 1\/((-2)\/(8\/o)). Let m(r) = -3. Give k*m(f) - 3*j(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -388 - -390. Let o = -3 + 4. Let x = o - 2. Which is the nearest to s? (a) x (b) -1\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 9:34 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.67069+23375\nAnswer: 23376.67069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -1\/4, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 18 + 6 - 108*y + 103*y. Let h be w(-3). Calculate the greatest common factor of h and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900)*-1 + 1 + (1*2*sqrt(190))\/sqrt(10).\nAnswer: -8*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - 293\/5. Let y be 2 + 1 + 91\/(-35). Factor -y*n**3 + 2\/5*n - 2\/5*n**2 + b.\nAnswer: -2*(n - 1)*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjtj when four letters picked without replacement from tjtjjtjjcgcpctv?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -98*r**3 + 5*r**2 + 9*r + 5. Let n be y(-1). Calculate the highest common divisor of 66 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 811595 and 24272.\nAnswer: 12985520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7152?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**3\/3 - 2*o**2 + o. Suppose 0 = -2*p + p + 3. Let q be v(p). Solve 0 = -q*n - 0*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**29*h*h**14)\/(h*h\/h**(-3\/5)*(((h**(3\/16)*h)\/h*h)\/h)\/h) assuming h is positive.\nAnswer: h**(3377\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**3\/3 - g**2\/2 - 3. Let t(h) = 6*h**2 + 8*h + 1. Determine 14*m(s) + 2*t(s).\nAnswer: -2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -22*(-4 - -5) - -3. Which is bigger: m or -20?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/715, -1\/2, -4\/5 in descending order.\nAnswer: -2\/715, -1\/2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 294157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Solve v*g = 2*d + 20, -g - 10 = -5*g - 2*d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.952 and -28889.\nAnswer: -28890.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 112*l**2 + 1. Let c = -66 + 65. What is the units digit of x(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 21*h**2 - 20*h - 10. Calculate x(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4421134002 - 0?\nAnswer: -4421134002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*z**3 + z**3 + 0*z**3 - 6*z**3)*((3*z + 0*z - 2*z)*(22 + 203 - 76) + 0 + 2*z + 0).\nAnswer: -3322*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + (sqrt(243) - sqrt(243)*-2) + 2*(sqrt(243) - ((0 + sqrt(243) + sqrt(243))**2 + 3)).\nAnswer: -1948 + 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/9 - 1574*x**2\/3 - 929840*x\/3 - 2784800\/9.\nAnswer: -2*(x + 1)*(x + 1180)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/7 + 1855\/147*6. Let t = 80 - y. Solve -n + 5 = t*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 2294*d + 65693. Calculate q(-29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 4*n**2 - 2*n - 11. Let q be a(5). Let t(i) = 32*i**3 + 5*i**2 + 6. Let r be t(q). Suppose 8*m - r = 6*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(252)*6 + -2*sqrt(28)*4 + sqrt(28)))\/((sqrt(1152) - -2*sqrt(1152) - sqrt(1152) - sqrt(1152))\/((sqrt(8) + sqrt(2))*-3)).\nAnswer: -33*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.94375158 to two decimal places.\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 10*h + 2*j = 254635, 2*h = -4*j + 101854. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*c - 5*z - 19 = -291*c, -c + 7 = -5*z. Put 5, c, -51 in descending order.\nAnswer: 5, c, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q - 42*q = -62*q - 2142. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330526 and 2506.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*s + 38 = -68, -2*s + 10 = 0. Let h = 170 - 141. Let b = j - h. Calculate the remainder when 11 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31d996 (base 14) in base 15?\nAnswer: -2358a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.026 + 0.025914. What is s rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98992 times -90\nAnswer: -8909280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8010000 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuggwwf. Give prob of picking 1 w and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51452748 and 5716972?\nAnswer: 51452748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2176598 + -0.2\nAnswer: -2176598.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + k - 9, 3*h - 3*k + 8 = -1. Let y be (-384)\/160*h\/6. Let c = -1 + -3. What is the nearest to y in 3\/4, c, 0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14021 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8 - 11501*c**5 - 11345*c**2 + 1388*c**2 + 5 + 3 wrt c?\nAnswer: -690060*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474970501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sonnbaodabso. What is prob of sequence dsa?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/57)*u*u\/(((u*u\/u**17)\/u)\/u*u)*u)**34 assuming u is positive.\nAnswer: u**(36754\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 at most as big as 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkdtdjrhkdkd. What is prob of picking 1 k, 1 t, and 1 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 13*f. Let z be y(13). Let o(w) = -4*w**3 - 38*w**2 + 21*w + 11. Let d be o(-10). Solve z = -6*i - 23 - d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1232888.1 - -1232887.2099929. Let o = 218.11 - 219. Let v = k - o. What is v rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 4*h - 2. Let t be m(0). Let y(q) = -4*q**3 - q**2 - 3. Determine y(t).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/(-18) - -6 - 6\/(-1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rptfmptmptpptmm. Give prob of picking 1 f and 3 m.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) + sqrt(75) + (2*sqrt(75) - sqrt(75)))*6)\/sqrt(5))\/(sqrt(15)\/(sqrt(3) - (sqrt(3) + sqrt(6)\/sqrt(2) - sqrt(3))*-5)).\nAnswer: 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.34 + -1333932.\nAnswer: -1333931.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (-52 - -20) - -25?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1804520 and 55160?\nAnswer: 12631640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 5, -3, -64 in decreasing order.\nAnswer: 5, 0, -3, -4, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15267 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 4*i**2 + 3*i - 5. Suppose -5*m - 2 + 72 = 0. Suppose -5*k = -6 - m. Give q(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -58575177?\nAnswer: -58575177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 883723?\nAnswer: 88372a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*s - w + 11, -2*s - 2*w + 10 = 0. Solve 9 = -3*n + 3*j + s, -n - 3*j = -2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*a**2 + 708*a**2 - 207*a**2.\nAnswer: 657*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 13 + 14)*(-5 + 2 + 4)*(6 - 2 - 3 + 3 - 1 - 1 + (3 - 2 - 2)*(2 + 0 - 1))*(5*x - 5*x - 3*x).\nAnswer: -39*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 32 - 46 = 0. Let t(x) be the first derivative of v*x + 3*x + 15 - x**2 - 6*x. Determine t(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (150\/24)\/(2\/40). Let p = -86 + i. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235982107.\nAnswer: 2393, 516499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 29\/2 of a micrometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 38*b + 6584. Give o(-169).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 10 = -3*k, 4*f + 4*k = 2*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 28*l. Let b(x) = -x. Let q(j) = -12*j. Let h(z) = -21*b(z) + 2*q(z). Give n(h(m)).\nAnswer: 18*m**2 + 84*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -26*m**3 - 2*m**2 - 2*m. Let p be u(-1). Suppose 0 = -11*r + 24*r - p. Suppose r = 4*c + 4*v - 6, -5*c + 4*v = -37. Solve 2 = c*k - 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - (sqrt(56) + sqrt(56) + -1*sqrt(6776)))\/(sqrt(64)\/sqrt(8)*6).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 6822 = -1524. Let v = -632 - j. Calculate the greatest common factor of 65 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o = -15 - 33 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146980 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*r + 2*r + 4386, -4*r + 5*f + 8799 = 0. Suppose 8*o = 2*o + r. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*d + 9 = 0, 8 = -2*i + 2*d + 10. Solve 0 = i*m - 9 + 21 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10984679?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 16*j**2 + 2*j - 3. Let q be o(16). Solve -5 = -q*c + 28*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009 is divided by 64?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 91 = 5*z - 19, 5*z = 5*f + 100. Let s = z + -25. Let h be (-6)\/45 + (-58)\/(-660). Which is bigger: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-3)*48\/40)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111110 - 1000001000101100000?\nAnswer: -1000001000001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136683, -546732, -1230147, -2186928?\nAnswer: -3417075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkk when three letters picked without replacement from {h: 3, x: 1, k: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 5 (c) 318\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 8:07 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.049, -4\/29, -0.1, 1\/8, -11\/3 in decreasing order.\nAnswer: 1\/8, 0.049, -0.1, -4\/29, -11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 551981 to the power of 1\/2, to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7841918 + 3920963 + 3920958 - 26*f**2.\nAnswer: -26*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 286.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21300 - 21298. What is the closest to -2 in -10, w, 51?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.001? (a) -3 (b) 1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1562*l**4*o + 2*l**2*o - 11*l*o + 298*l wrt l.\nAnswer: 18744*l**2*o + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6091385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 743907 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15662573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/100 and -8\/45.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 3*x - 5*x - 13)*(-880*x**4 - 477917*x**2 + 477917*x**2).\nAnswer: 1760*x**5 + 1760*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74.6 + -75. Let h = 105 - 31. Let c = -74 + h. Sort c, -16, d.\nAnswer: -16, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s*s**5)))*s**6)\/(s**(-2\/9)\/s**4) assuming s is positive.\nAnswer: s**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/22)*z**9\/z)\/(z\/((z\/z**(-2\/9))\/z)*z\/(z*z**19)))**(1\/5) assuming z is positive.\nAnswer: z**(5219\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 0 (b) 2 (c) -1 (d) 6.43 (e) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/24)\/((-2)\/((-856)\/(-2))) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -213558116, -213558114, -213558112, -213558110, -213558108, -213558106?\n\"Answer: 2*p - 213558118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 55f - -55d?\nAnswer: abc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 11:01 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*t + 50 + 274 = -72 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -3*h - 4*h - 2*g - 20, -2*h - 3*g - 16 = 0 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6532 - 6652.24. Let p = -1.76 + k. Let w = p - -122.00077. Round w to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3130 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**3 + z + z + 5*z + 5*z**3 in the form y + o*z**2 + f*z + h*z**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -21. Differentiate -35*d**2 + 35*d**2 + 6*d**4 - a with respect to d.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -39.1. Sort -1\/3, 0, n in descending order.\nAnswer: n, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-243)\/135)\/((-6)\/(-10)*-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167\/1071 + 2\/153. Let d = 1.1 + -2.7. Let y = -0.4 + d. What is the third smallest value in -0.2, 2\/3, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**18\/(r**3*r) assuming r is positive.\nAnswer: r**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*(90\/12)\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -14*j**2 + 0*j**4 - 17\/60*j**5 + 0 + 7\/6*j**3 + 0*j. What is the first derivative of r(m) wrt m?\nAnswer: -34*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2541 (base 8) to base 7.\nAnswer: 4005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 21. Let m = p - -30. Calculate the smallest common multiple of m and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b\/((((b\/((b\/b**(-9))\/b))\/b)\/b)\/b)))*b*b\/b**(-5\/2) assuming b is positive.\nAnswer: b**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 3, -1\/6, -0.1, -2\/9, -3.\nAnswer: -24, -3, -2\/9, -1\/6, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 73 - 47. Calculate the remainder when z is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(968) - ((sqrt(968) - 1*sqrt(968)) + 4))*1 - (2*-6*(sqrt(288) + -2))**2) + 1.\nAnswer: -42051 + 6934*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 768 = 5*r, 5*r = 4*u - 0*r - 1476. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -7*s**2 + 9*s - 2. Let w(f) = -3*f**2 + 4*f - 1. Suppose v = -2*t + 4*v + 20, 4*t = -4*v. Let o(n) = t*m(n) - 9*w(n). Determine o(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 49 = -43. Let u(o) = o + 11. Let w be u(-7). Let g = w + -4. Solve g = s*k + 9 + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 20. Let o(f) = 4*f**2 - 2*f**2 + 3 + 0*f**2 - 4*f**3 + 0*f**2 + 4*f. Is o(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 0*h**3 - 16\/3 - 4\/3*h**4 + 20\/3*h**2 + 0*h = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122411 and 230162?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13\/2 + -6. Let m be (-10)\/(-36) - (-2)\/(-4). Suppose -l = -3*x - 3*l + 7, -5*l + 7 = -3*x. What is the smallest value in b, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2857695g?\nAnswer: 285769500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 4*p - 2. Let k be h(-5). Suppose 0*a + k*a = -21. Let m(t) = t + 10. Let b be m(a). Solve -y = b*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**3 - o**3 - 2*o**3 + (0*o**2 + 0*o**2 - 2*o**2)*((0*o + 0*o + o)*(1 - 1 + 1) - 12 + 12 - 2*o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 5. Let v be (46\/(-8))\/((-1)\/n). Suppose 2*b + 0*i = i + 40, 0 = -b + 2*i + v. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*l + 9, -2*l + 5 = -4*q + q. Calculate the smallest common multiple of q*-8*(1 + -2) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.8 (b) 0 (c) -0.08 (d) -2\/7 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 282 and 216.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**3 + 8*v**2 + 13*v - 2. Let h(u) = -5*u**3 + 10*u**2 + 14*u - 3. Calculate 2*h(o) - 3*x(o).\nAnswer: 2*o**3 - 4*o**2 - 11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 7*i - 2. Let z(f) = -6*f + 3*f - 1 + 2*f**2 - f**2. Let p(k) = k**2 - 3*k + 7. Let u be p(0). Give u*z(r) - 3*j(r).\nAnswer: r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 355\/104 - 27\/8. Let x = -41\/286 - h. Let u = 772\/4367 - -2\/397. Which is the smallest value? (a) x (b) 2 (c) -3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, v: 2, d: 1, u: 5, a: 1, k: 2}. Give prob of sequence kdz.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 41*c + 243. What is g(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 5.9. Put 5, p, -1\/3, -2\/7 in descending order.\nAnswer: 5, p, -2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 58*m**2 + 205*m + 96. Give p(54).\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1205*x**4 - 4*x**2 + 4*x + 203. Let n(v) = -1208*v**4 - 5*v**2 + 5*v + 201. Let z(y) = 4*n(y) - 5*w(y). What is the derivative of z(b) wrt b?\nAnswer: 4772*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, n: 7}. What is prob of picking 2 n?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 15*z + 174 = -10*z. Calculate the remainder when 984 is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 - 70. Let i be (3 - 2) + -6 + -1. Let l(q) = -8*q - 2. What is the remainder when l(i) is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311071?\nAnswer: 277, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114.247*859.\nAnswer: -98138.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1986941 is divided by 831.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - a + 8. Let z be k(0). Suppose -j = -3*j + z. Suppose -j*n - 3 = q - 2*q, 3*n - 6 = -2*q. Solve 3*l - w = -q*w + 4, -4 = l - 2*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*5276666.1.\nAnswer: -15829998.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/75*-3*11 + (-12)\/(-30)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**4 - 2720*v**3 + 42500*v**2 - 137520*v + 126720 = 0. What is v?\nAnswer: 2, 12, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**6\/225 + 7*v**5\/150 - v**4\/5 + 4*v**3\/9 - 8*v**2\/15 + 88*v + 2. Factor f(w).\nAnswer: -2*(w - 2)**3*(w - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.29 - -1.59. Let h = 13807 + -13812. What is the second smallest value in r, -1\/2, 2\/9, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6516*l**3 + 1338*l**3 - 11233*l**3.\nAnswer: -16411*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 510*d - 121354. Determine k(238).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 39 = 47. Which is smaller: -19\/12 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 divided by 25.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)\/(sqrt(55)\/sqrt(5)))\/(2*sqrt(18)\/sqrt(6)) + (-4 + sqrt(77)\/sqrt(7) - sqrt(352)\/sqrt(2))*-1.\nAnswer: 4 + 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 936*v**3 - 5*v - v + 4*v + 1344*v**3.\nAnswer: 2280*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.94 + 4.99.\nAnswer: 5.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1564514*g**4 + g - 1093196 wrt g.\nAnswer: -6258056*g**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 1:23 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**4\/8 + j**3\/4 - j**2\/8 - j\/4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 8. Let t = -2 - -2.1. Suppose 14*i = 8*i. Which is the nearest to t? (a) 1 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/266*126)\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5 - 3 = 0. Let s(k) = -3*k**3 + 2*k**2 + 2*k - 2. What is the units digit of s(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 8*y + 8. Let f = 5 + -3. Let r be 4\/(-8)*-1*10. Suppose 24 = -r*z - f*w, z - 4*w - 6 = 4*z. Give q(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -325212.203 rounded to the nearest 100?\nAnswer: -325200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2. Let n(c) = -880*c**2 - 3*c + 3. Let x(p) = 6160*p**2 + 20*p - 20. Let w(v) = -20*n(v) - 3*x(v). Give r(w(y)).\nAnswer: -1548800*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 7*o + 2. Determine g(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.0693441 rounded to 3 decimal places?\nAnswer: 117.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 250051535 and 0.1.\nAnswer: 25005153.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.0095 (b) -0.28 (c) 60 (d) 3 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 426 and 261864?\nAnswer: 18592344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.076 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.978 + 5.978. Suppose 3*j + 14 = m, j + 6 = m - 2. Sort -2\/9, c, m in descending order.\nAnswer: m, c, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 53 + 10*12\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 8, f: 1, w: 9}. Give prob of picking 1 f and 1 q.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - a + 73*a**2 + 36*a**2 - 104*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 65*t = -988 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -34. Is 29 a factor of (4 + 9\/f)*101\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-15)*(1\/6)\/(31\/1240).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/12 and -15\/238.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*c**3*n**3 + c**3*n**2 + 47*c**3*n + 19*n**3 + 2*n**2 wrt n.\nAnswer: -168*c**3 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9932, -9887, -9814, -9713?\nAnswer: -9584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17126.\nAnswer: 2, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.5 + -3. Let z = h + -0.3. Put 2\/5, z, -1 in descending order.\nAnswer: 2\/5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16754 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*r + 2 = 0, 10 = r - 6*r. Suppose q = 5*w - 4025, v*q = q. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b237ea - -1?\nAnswer: b237eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 51*j + 59*j - 6*j**2 - 111*j. Let g(b) = 4*b**2 + b. Let w(x) = 7*g(x) + 5*q(x). Determine i, given that w(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-20) + (-21)\/(-28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1711, -23, 43 in descending order.\nAnswer: 43, -23, -1711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5 - 3600*r**4 + 103856*r**3 + 473280*r**2 = 0.\nAnswer: -4, 0, 34, 870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 411631 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 437 times -0.02\nAnswer: -8.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 4*m + m)*(-m**2 + 3*m**2 - m**2) + 98*m**3 + 758*m**3 + 369*m**3 + 307*m**3 as p*m**3 + k*m**2 + y*m + n and give p.\nAnswer: 1533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 46*z - 39. Let b(j) = 2. Let m(y) = 6*b(y) + k(y). What is the units digit of m(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 95750, 382988, 861720, 1531946, 2393666?\n\"Answer: 95747*u**2 - 3*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -16 + (8 - -1) + 17 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39 + 20 - -5322431) + -11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339540075.\nAnswer: 3, 5, 7, 193, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 168020?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 22. Suppose 0 = -5*z + 4*a + 16 + h, 3*a = -5*z + 6. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8 - 663\/(-476))*(-2 - -4)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2278*g = 2187*g + 2184. Solve 161*s - 167*s - g = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190649051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275818 = i - 20705. Let d = 1455114 + i. Suppose -4*a - d = -z, 0 - 1 = -z. What is a rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 - 4*f + 17. Let r be o(-19). Let m = r - -650. What is the greatest common factor of m and 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2293898\/7361 - 5298\/17. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 2*r**5\/5 + r**4\/2 - 4*r**3\/3 - 1379. Suppose h(w) = 0. What is w?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65853986?\nAnswer: 2, 11, 2993363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -303 + 323. What is the smallest common multiple of k and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*g + g + 268, -g = 4*p - 139. What is the greatest common factor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/2185 - -2191\/6555. Which is the nearest to z? (a) -1 (b) 3\/2 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 237801338 to the nearest integer?\nAnswer: 15421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + (sqrt(700)*-2)**2)*2.\nAnswer: 20*sqrt(7) + 5600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5 = -21. Differentiate -a*q - 2*q**4 + 1 + 0*q**4 + 4*q wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 3*u - 138, 2*z + 2*u = -3*u + 40. Let o be ((-6)\/5)\/((-12)\/z). Let v = 20 + -19. Solve -v = 2*g + o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 121.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 11023. Let s(n) = -3*n**2. Calculate a(s(y)).\nAnswer: -9*y**4 + 11023","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/3 + 284822*m**2\/3 + 2278430*m\/3 - 854418 = 0. Calculate m.\nAnswer: -142403, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 6603024926721?\nAnswer: -6603024926721.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 75*y**2 - 449*y - 900. Give p(-2).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501 = y - 498. What is the thousands digit of 2\/y*3*(-11262)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4375 and 35840.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**4\/4 + 9*v**3\/4 - 3*v**2 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 46\/5 of a gram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18005372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from sssmshzgssmhsgzhhzs?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4588730*t + 12393 = -4588973*t for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -24\/5*q**5 + 0*q**2 - 29*q + 0*q**3 - 3 + 0*q**4. Find the first derivative of f(r) wrt r.\nAnswer: -96*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82.5 - -83. What is the nearest to 0 in 1\/3, -0.02, c?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2. Let h be (-4)\/38 + (-1370)\/(-13015). Let f(i) be the third derivative of -9\/8*i**4 + 0*i**3 + 21*i**2 + 0*i + h. Give w(f(a)).\nAnswer: -1458*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/79697472 and 51\/46072.\nAnswer: 1036067136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00660253 rounded to five dps?\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5831434 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i**2 + 12*i - 6. Let c(u) = 13*u**2 + 22*u - 11. Let t(z) = 6*c(z) - 11*o(z). Let y(k) = 4*k**2 + 2*k**2 + 5 + 0. Give y(t(b)).\nAnswer: 6*b**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29 and -250?\nAnswer: 7250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-4) + 38\/88. Let y = 20.01 - 22.01. Is t <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 3:40 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-260))\/(1470\/70070)\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -576*l. Let t(x) be the first derivative of -x**2\/2 - 504. Give t(r(z)).\nAnswer: 576*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -1\/2, 18, -3\/8, 7, -18 in decreasing order.\nAnswer: 18, 7, 0.09, -3\/8, -1\/2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4571 = -7*n - 2*q - 4587, -2*q = -2*n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5876245 is divided by 926.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 8:23 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8\/25 of a meter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 308 + 632 = 0. Let c = 132 - q. Let i be (-2)\/(-6) - c\/120. Sort -0.4, i, -4 in decreasing order.\nAnswer: i, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 10 = -j - 2*p, 0 = j - 4*p - 20. Suppose -h = 4*u - u - 20, j = h - 2*u + 5. Solve -4 = 2*x - 3*w, 3*w = -5*x + h - 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 41.35 and 359061287?\nAnswer: 359061245.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8*(-2 + 21\/(-28)). What is the highest common divisor of v and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5211615 (base 7) in base 10?\nAnswer: 624909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 16 = -2*v, -2*z - 7 = -5*v + 12. Let k be 1 - z\/(9\/4). Let n = -41 - -42. Put n, k, 0.1 in ascending order.\nAnswer: k, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0917433 + 49.\nAnswer: 49.0917433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655116.\nAnswer: 2, 413779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*j - 13*j + 6*j - j - 3*j + j + (-3*j + 3*j - j)*(5 - 4 + 1))*(-2 + 4*j**2 + 2).\nAnswer: -88*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306967 is divided by 306955.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.03 - -0.03. Let p(a) = a - 8. Let f be p(6). Let h be (3\/f)\/((-42)\/8). Sort -0.1, i, h in ascending order.\nAnswer: i, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from aiiivvxi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39599*d**4 + 5*d - 11 - 39601*d**4 - 2*d + d**3 - d**3 + 2*d**2 to s*d**4 + z + b*d + t*d**3 + h*d**2 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124404?\nAnswer: 2, 3, 7, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -1, 4, -2\/9, 0.9 in decreasing order.\nAnswer: 4, 0.9, -2\/9, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4678279835?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2183*u + 19643. Calculate t(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 6*q - 1223. Let c = 194 - q. Sort -2, 2, c in increasing order.\nAnswer: -2, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3402470 is divided by 181?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + j + 23, -2534*j + 2531*j = -l + 53 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -189175*u**2. Let i be y(8). What is i rounded to the nearest 100000?\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 + -280.4923?\nAnswer: 331.5077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/13, -10, 2.\nAnswer: -10, -2\/13, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -168305, -336611, -504917, -673223, -841529?\n\"Answer: -168306*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.74 - 3.26. Let y = -0.24 - -0.04. What is the nearest to y in t, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*((-11)\/(-2) - 6). Calculate the remainder when 53 is divided by q\/(-10)*0 - -27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.22 - -0.22. Let b = x + 9. Sort 2\/13, b, 2\/3 in descending order.\nAnswer: 2\/3, 2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 7:03 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 9 + -9 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 41025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8728326\/331 or 26370?\nAnswer: 8728326\/331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.23 - 0.7.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 2:16 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -5, 0.4, 93.22?\nAnswer: 93.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29383, -58769, -88155, -117541, -146927, -176313?\n\"Answer: -29386*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*a + 2 = -2*c + 345*a, -3*c + a + 9 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v - 2. Let j be w(-1). Let u(t) = t - 7. Let p be u(9). Let q(x) = -x**2 + x - 2. Let d be q(p). Put 4, j, d in descending order.\nAnswer: j, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 1.1 (b) 1 (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(252\/1296)*(-91)\/130.\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 23 = -i - 18, -4*i = -3*t + 54. Suppose -5*g + t = -w, -5*g - 19 + 31 = 4*w. Solve f = 2*p - 9, 0 = p - 6*p - g*f + 29 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0085? (a) -1\/11 (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u - 2*u**3 + 0*u + 4*u + 2*u**3 - 4*u + (3*u - 2*u + u)*(u**2 - 1 + 1) + (-4*u**2 + 4*u**2 + u**2)*(-4*u + 0*u + 5*u) - 6*u**3 + 3*u**3 + 4*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -61983028 and 19.\nAnswer: -61983009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*u + 146 + 1239 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5778*1*3 + 3. Is (6 + -5)\/(-2 + 34677\/g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17366699?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 5*c**2 + 287*c + 567. Let w be o(-2). Sort 16, w, 22 in descending order.\nAnswer: 22, 16, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1872) - ((1 + sqrt(1872))**2 + -2) - (-3 + sqrt(1872) + 0)) + 5).\nAnswer: -1863 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5, -6*k + 7*k + m = 0. Sort 3\/7, 0, k, -0.229 in descending order.\nAnswer: k, 3\/7, 0, -0.229","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/3 + 13*f**3\/3.\nAnswer: f**3*(f + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 9. Let y be -3 + r + (-2)\/(-1). Solve 3*n = -3*t - 21, -y*n = -3*t + 14 + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 c, and 1 e when four letters picked without replacement from zssqzzzqzcszzqzqcgeq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 319.007 centuries?\nAnswer: 382808.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(448)*3)**2 + 1 + sqrt(448) + -2 + ((sqrt(448) - 1*sqrt(448))*3 - (sqrt(448) + sqrt(448)*-1 + 3 - sqrt(448)))**2.\nAnswer: -40*sqrt(7) + 16584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 21*a**2 - 1. Let i = 10 - 9. Let x be f(i). Factor u**2 + x*u - 18*u + 3*u**2.\nAnswer: 2*u*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a week?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**4\/12 - 4*i**3\/3 - 9*i**2\/2 - 10*i. Let t be z(9). Suppose t = j - 4*j + 1065. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p. Let x(s) be the first derivative of 0*s**4 + 0*s**3 + s**2 + 3 + 0*s - 1\/20*s**5. Let u(q) be the second derivative of x(q). Give u(h(v)).\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 6. Factor -2\/11*v**2 + 0 + 0*v**3 + 2\/11*v**4 + r*v.\nAnswer: 2*v**2*(v - 1)*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 1. Let t(h) = -2*h - 3. Let n(f) = -7*b(f) - 3*t(f). Give n(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*b = 3, 47*b = 42*b + 15. Factor 0*q + q**2 + 0 + 2*q**4 - 1\/2*q**5 - 5\/2*q**f.\nAnswer: -q**2*(q - 2)*(q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/7 in -84, -4\/7, -0.004, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 9:55 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, i: 4, d: 10}. Give prob of sequence ihii.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4929.211236 to the nearest one hundred.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1088542*w - 5051738*w - 232055*w.\nAnswer: -6372335*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2. Suppose -8 - 4 = 4*o. Let r = 6 + o. Let g(y) = -2*y + 0*y + r*y. Determine g(f(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 18*o**2 + 35*o - 9*o**2 + 6 - 40*o. Let q be w(3). Suppose -3*k = -177 - q. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*i - 276 = 0, 3*b - 389 - 465 = 4*i. List the prime factors of b.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134592 divided by -32\nAnswer: -4206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6041\/4 (b) 5 (c) 6 (d) -1 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3803*t + 3801*t + 4 = 0, 2*f - 9*t + 18 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 62, 0.091, 5?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 28*k - 20*k + 1475*k**2 - 6*k.\nAnswer: 1475*k**2 + 2*k + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4)*n)**(-30\/13))**16\/((n**1*n)**(-16\/7)*(n**(4\/7)*n)\/((n**(-3)\/n)\/n*n*n)) assuming n is positive.\nAnswer: n**(-600\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6540 a factor of 4116403914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*(3 + sqrt(176))*6)**2.\nAnswer: -319680 - 41472*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.77 + 3.73. Let g = d + -4.5. Suppose -5*v + 8 = -2. Which is the closest to 0.1? (a) g (b) v (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.5 - 19.486. Let d = -1.014 + g. Which is bigger: 3.2 or d?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0047 smaller than 355569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9636 is divided by 166.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*z + 13 + 166*z - 11 + 780*z - 4 as c*z + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 86*d**2 - 496*d + 16. What is s(-6)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 9. Let u be (-9)\/2*m\/6. Let x = -1 - u. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 + 5*w**5 + 168*w**3 + 12*w**3 + 60*w**4 + 3.\nAnswer: 5*w**3*(w + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376397 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**4\/12 + 4*y**3 - 83*y**2\/2 - 286*y\/3 - 11168. Factor x(a).\nAnswer: -(a - 26)*(a - 11)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 950*o**3 - 1303*o**3 - 2873*o**3.\nAnswer: -3226*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*z + 1036, -3*z - 10*o + 6*o + 1550 = 0. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 14597, 0.34, 0.\nAnswer: 0, 0.34, 3\/7, 14597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, 2\/5, -14, -37.42, 1\/16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23003?\nAnswer: 23003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 16*h + 57. List the prime factors of s(-18).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -393*f**2*s*y**2 + 4264*f**2*y**4 + f**2*y**2 + 10*s**2*y**4 + 15*s**2*y**2 wrt y.\nAnswer: 102336*f**2*y + 240*s**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -341 and -137?\nAnswer: 46717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*g + 15, 4*d - 3*g - 15 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 188535.3ms in minutes?\nAnswer: 3.142255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 9:55 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 - 46*a**2 + 54*a - 64. What is the least common multiple of 304 and h(26)?\nAnswer: 21584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -788 rounded to the nearest ten?\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)*-1 + (1*sqrt(10)\/sqrt(2) - sqrt(5))**2 + (-2 + 4 + sqrt(5))*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.162 + 0.16253. What is j rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-7336\nAnswer: -2200.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16537 is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 14*k**2 - 13*k + 5. Let n be v(-13). What are the prime factors of -7 - 7056\/(n - 11)?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*k - 3*k. Let h(d) = 5*d**2 + 13*d + 10. Let t be h(-2). Let b = -1 + 4. Put b, t, -1, k in decreasing order.\nAnswer: t, b, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**2*z**2 - 80*i**2*z - 51*i**2 - i*z**2 + 3*i*z - 280*i + 2*z**2 wrt i.\nAnswer: 2*z**2 - 160*z - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793 is divided by 161.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*k**4 + 7*k**4 + 2*k**4 + (6*k**3 + 7*k**3 - 23*k**3)*(2*k + k - k).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2\/7 + 345*v\/7 + 702\/7 = 0.\nAnswer: -2, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 6541 - 2042 = -1923. What are the prime factors of t?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8476693813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 351982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -98690 at least -98692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 26 = 5*f - 6, f - 35 = -3*i. Let l(n) = -3 + 5 + 4 + 5*n. Let c(b) = 9*b + 11. Determine i*l(v) - 6*c(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 338690383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 957 + -515. Let c = u + -92. What is the highest common divisor of 42 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**3\/2 - l**2\/2 - 3*l - 39. Let q(g) be the first derivative of w(g). Calculate q(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1358*-2.\nAnswer: 2716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = 89*z + 16*z - 174. Factor 0 - w**z + 1\/3*w**4 + 2\/3*w + 0*w**3.\nAnswer: w*(w - 1)**2*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171)*-1*-2 + sqrt(171))) + sqrt(171))\/sqrt(9).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2712\/60 - (-1)\/(-10)*2. Suppose -3*n = -6, -3*v - 2*n - 8 = -j. Calculate the highest common factor of 55 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -6, -16318 = n - 4*y + 102206. Round n to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3075, 3146, 3217?\nAnswer: 3288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1343 - -1351. Solve 16*y + n = 18*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25374.\nAnswer: 2, 3, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*j - 6 = 0, -o + 5*j = o + 21. Let c(d) = d**2 + 3*d + 1. Let x be c(o). Let y(p) = 3 + 2*p**2 - 3*p**2 + x. Determine y(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -43*m - 22. Let a be h(8). Is (-1)\/(-1) - (-27 + a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r + 4. Let a be w(-4). Let q(n) = n**2 + 5*n - 15. Is q(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (111\/4921*-19)\/((-51)\/4046)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -934*o + 8. Let x(y) = -3*y**2 - 1. Determine u(x(b)).\nAnswer: 2802*b**2 + 942","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.085 (b) 14\/85 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 11271954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 26445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2508?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 r, 1 e, and 1 k when four letters picked without replacement from kkhkrrreatraeh.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from mxm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 19. Let b be a(16). Let j = 59 - b. Calculate the remainder when j is divided by (-2)\/3*-3 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-618)\/2781)\/(-1*(-4)\/(-294)). Let v = o - 589\/36. What is the common denominator of v and -79\/33?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1620))\/(sqrt(12)\/(sqrt(16)\/sqrt(4) + sqrt(4))))\/(-2*((2*sqrt(432) - sqrt(432)) + sqrt(432) + sqrt(432)) + (sqrt(432) - sqrt(432)*-1)*-1)*-1.\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.09, 37\/2, -17?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 468 divided by 87\nAnswer: 156\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276799451?\nAnswer: 4583, 60397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -174187 (base 10) to base 12.\nAnswer: -84977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2505, 2481, 2457?\n\"Answer: -24*z + 2529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -197, 5, -4 in increasing order.\nAnswer: -197, -4, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13721 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*l**4 - 4*a*l**3 + 3*a*l**2 + 9*a*l + 13634*l**4 - 3*l**3 - 113*l**2 - 25*l wrt l?\nAnswer: 24*a*l - 24*a + 327216*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2024693?\nAnswer: 11, 29, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165032 and 7448.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42\/37 + 47\/74. Let z = -1 + 1. Suppose z = -4*y - 4. Which is smaller: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*d + 18 = 0, 2*d - 24 = -3*n - 3*d. Let m be n\/(-18)*3\/(-41). Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -3041314?\nAnswer: -3041310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -5 (c) 5 (d) 4 (e) -44877.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c - 8. Let j be o(4). Solve -j = -2*h + 6*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 546\/104*204\/(-42)?\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61702 = -1516*d - 2131*d - 98766 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-6))\/(-1)*2. Let j(g) = -g**2 + 14*g + 37. Suppose 13*u - 274 + 66 = 0. Let p be j(u). Sort p, l, -2.\nAnswer: -2, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 171719120 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561318 + 933287 = 10716*v - 988963 for v.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.809 - -2.059. Let y = -0.7 + 0.55. Let s = y + m. Is s less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 30*o**2 - 88*o - 2. Let q be y(3). Suppose 0 - 4\/3*k**q - 2\/3*k + 4\/3*k**2 + 2\/3*k**3 = 0. Calculate k.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.7 - 6. Let u = 2.3 - 6.3. Sort u, b, -0.1 in descending order.\nAnswer: -0.1, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (95\/76)\/(((-14)\/120)\/(-7)). Suppose 75 + t = 5*m. Suppose -28*b + m*b = 44. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*x - 97 - 273. Solve -14*a = -10*a + 5*r - 8, -2*a - x = -r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*(k*k*k**1)\/k))*k*k*k*k)**(1\/23)\/(k\/(k\/(k**19\/k*k*k)*k))**(-1\/3) assuming k is positive.\nAnswer: k**(458\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 39848 + 6937589*n - 6937589*n - 2*n**2 + (-n + 2*n + n)*(-1 + 1 - n) - n + n - n**2 + n**2 - 1 + 1 as g*n + b + p*n**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41577 * -1.\nAnswer: 41577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303194 to the power of 1\/2, to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -40928?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3634638700 to the nearest integer?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5755 by 1.\nAnswer: 5755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4302 - -4301.8. Let k = 0.7 - 0.2. Let b = -11 + 7. Sort k, b, -2, v in descending order.\nAnswer: k, v, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c + 32. Calculate the remainder when 64 is divided by p(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 2, -3, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1613 - -1615. Solve 4*c + 4 = 5*h, 5*h - p = -0*c + 2*c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 7*z + 9. Let x be q(6). Suppose 2*r - 8 = -2*r. Factor -2*j**3 - 6*j - 2 + 0*j**2 - x*j**2 - 3*j**r.\nAnswer: -2*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (14 + -4) - ((-8)\/(-10) - (-6952)\/110)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9055.981 kilograms?\nAnswer: 9055981000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.4 + 2.81. Let y = 0.09 + k. What is the third biggest value in 0.5, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/3904 and 149\/144.\nAnswer: 35136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 27 = 3*o, 3*o + 80 = 68. Sort -4, 7, m, -1, 5 in descending order.\nAnswer: 7, 5, -1, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 4 + -9 + 0. Let n = -2027\/46 + 1048\/23. Sort n, -2\/39, m in descending order.\nAnswer: n, -2\/39, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/3)\/((-8)\/12). Let x be (3\/1)\/y*8. Suppose x = -0*h + 4*h. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3886429 = -10*v + 3885859 for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 5:32 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1883 and 1614?\nAnswer: 11298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*c**4 - 13*c + 9*c**3 - 9*c**3 wrt c.\nAnswer: -216*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + sqrt(320) + (sqrt(320) - sqrt(320)*-1))**2.\nAnswer: 5445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 27*a**2 - 651*a - 253. Is p(65) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5337 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 15) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*s - 38*s = -6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 + 2.96. Let j = 64.7 + -62. Let i = -0.7 + j. Which is the second biggest value? (a) o (b) i (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*a**3 - 310851*a**2 + 451*a - 93570?\nAnswer: -222*a - 621702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 121 - -6?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.9767898*-0.5.\nAnswer: 4.4883949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.21554125*-0.5\nAnswer: 0.107770625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2710*v**3 - 16708*v**2 + 424556092*v?\nAnswer: -16260*v - 33416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-4))\/(20\/(-36)))\/(-15 - -21)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 3*x**2 + 3. Let s(f) = -47*f**2 + 3*f - 7. Let m(j) = -63*j**2 + 4*j - 9. Let d(k) = -3*m(k) + 4*s(k). Calculate -4*a(w) - 12*d(w).\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283241 is divided by 140614?\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 786*u + 786*u + 738*u - 2310*u + 71*u**2.\nAnswer: 71*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**4 - n**3 - 3*n**2. Let o(z) = 20 - 5*z**2 - 20 - 2*z**3 - 7*z**4. Let i(a) = -3*o(a) + 5*t(a). What is j in i(j) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/((-80)\/(-3600))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 138.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10031223101031 + 11?\nAnswer: 10031223101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4)*o**(-5)\/o*o)**(-1\/19) assuming o is positive.\nAnswer: o**(21\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**5\/20 - 7*c**4\/12 + 5*c**3\/6 - 2*c**2 - 3*c - 10. Let d = 6 + 0. What is o(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -1925 + 239. Let n = 564 + c. Solve -n*a - 3*a + 25 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116*x**2 + 294*x**2 + 35*x**2 + 152*x**5 + 90*x**5 - 10*x**5 wrt x?\nAnswer: 13920*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 142986107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11762368 rounded to the nearest 1000?\nAnswer: 11762000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from vxphz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 899 = n, 4*n + 3*l = l + 3508. Suppose -6*u + 2*u - 185 = -k, -5*k = 3*u - n. Suppose 4*f + 3*y = k, 0*y + 2*y = -f + 38. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*x - 40*x - 31*x + 6 - 27*x - 20*x as r*x + b and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(1\/2)))\/s)\/s**12 assuming s is positive.\nAnswer: s**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9703 + -155345\/16. Let b = 6895\/3 - 2273. Calculate the common denominator of b and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 319189648742977\/216527291308920 + 44\/783724089. Let l = 6\/6907 + c. Find the common denominator of l and -11\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**5 + 2*t**5 - 2*t**5)*(-6 + 9 + 6).\nAnswer: -9*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69722 (base 12) in base 5?\nAnswer: 14003002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, m: 1, e: 1, h: 2, y: 3, v: 3}. Give prob of sequence hhvy.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-10))\/(15\/(-75))*-34. Let g = -32 - y. Solve b + g*b - 9 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 234264, 937049, 2108378, 3748269, 5856740, 8433809, 11479494, 14993813?\n\"Answer: 3*u**3 + 234254*u**2 + 2*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*u - 54, -3*m - 4*u = -6*u - 49. Suppose -3*g + m + 62 = 0. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 358 = 19*y, -1303*x = -1308*x - 3*y - 62 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -8346.\nAnswer: 50076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -2 + 2)*(-117378)\/(-72) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -47*b + 190 + 1410. Solve 18 = -b*t + 43*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -25 - 19. Let w(k) be the second derivative of 1\/10*k**5 + 0 + 1\/3*k**i + 0*k**3 - 5*k + 0*k**2. What is the third derivative of w(z) wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.07 (b) 10\/9 (c) 0.2 (d) -11 (e) 94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1841 + 2485 - 3*q - 644 - q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 865929*s.\nAnswer: -3*s*(s + 288643)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.072, 5, 3, -5, 1\/1595?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 371735?\nAnswer: 2973880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1415811.\nAnswer: 1\/471937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u**3 - 8*u**2 + 14*u - 13. Let y(b) = -6*b**3 + 8*b**2 - 13*b + 12. Let n(t) = -5*f(t) - 6*y(t). Calculate n(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, and 1 p when three letters picked without replacement from {k: 2, r: 4, z: 1, p: 3, q: 1, l: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7089 + 7080. Let i(g) = 3*g**2 + 31*g + 7. What is i(a)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7207.76 to the nearest one hundred.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 2854995?\nAnswer: 8564985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -139. What is the remainder when m is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-534)\/(-90) - (-2)\/5. Let g = 6 - i. Let w = -55 + 57. Which is the third biggest value? (a) w (b) 3\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 0*d - 3*d + (-49*d - 107*d + 14*d)*(18 - 28 - 30) as u + o*d and give o.\nAnswer: 5678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -1\/3*v**3 - 2 - v**2 + 0*v. What is the second derivative of u(c) wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -57. What is the remainder when 58 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/199 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/3 + 1819*n**2\/2 - 334231*n\/6 + 41267 = 0 for n.\nAnswer: -1423, 3\/4, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 94604 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 3:37 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2129637*m**2. Let v(h) = -6*h. Give r(v(p)).\nAnswer: -76666932*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + u + 20 = 0, 0 = -3*l - 3*u - 0*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 130431 = 466951. Let r = 318346 + t. Let c = 909036 + r. Round c to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (81 - 17) - -24.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65899320 divided by 4?\nAnswer: 16474830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12646 + 12645.8. Which is the nearest to 10\/3? (a) 16\/3 (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 31.2. Let c = h - 4.19955. What is c rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24070, -188698, -634448, -1501882, -2931562, -5064050, -8039908, -11999698?\n\"Answer: -23427*n**3 + n**2 - 642*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3354, -7221, -11576, -16419, -21750, -27569, -33876?\n\"Answer: -244*q**2 - 3135*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b3 + 3?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -9*g**2 + g + 1. Let o(r) = -2*r + 3. Let n be o(2). Give j(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 217*m**2 + 302*m - 18425. Determine h(216).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11, 1, -25, -73, -149, -259, -409, -605?\n\"Answer: -t**3 - 2*t**2 + 3*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32562*1684.\nAnswer: 54834408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 15*m**2 - 115*m - 122. Let s be a(4). Solve -s*r - 1 = -26 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 55. Let z = p + 165. Calculate the remainder when z is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3933 divided by -9?\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -454, -2023, -6258, -14491, -28054, -48279?\nAnswer: -76498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -234*c. Let i(q) = 22*q**2. Calculate i(j(r)).\nAnswer: 1204632*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43308.\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 34245740.\nAnswer: -1\/17122870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 0. Suppose 0 = 5*i - 55 - 5. What is the smallest common multiple of (-30)\/t - (-9)\/(-6) and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8105.42 decades?\nAnswer: 972650.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13982, -27839, -41696?\nAnswer: -55553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -2*z**5\/15 - z**4\/24 - 2*z**3\/3 - 1. Let t(y) be the third derivative of o(y). What is the tens digit of t(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -964*w + 290160. Determine y(301).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l = -547 + 339 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250\/6 - (-22)\/(-33) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 8*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*h - 28 = 92 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1920024)\/(-56) + (16\/(-14) - (-20)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60436 + 60435.6. Let j = -8 + 8.3. What is the closest to 1 in x, j, 0.139?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3 + 396*k**2 - 8552*k + 8160 = 0. Calculate k.\nAnswer: 1, 30, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g**2 + 2*g)*(181*g + 75*g - 97*g + (0*g + 2*g - 3*g)*(-2 - 2 + 3) + 3*g + g + g).\nAnswer: 165*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 5. Let n be p(0). Let t = n + -5. Let r be t\/2 + (-15)\/(-3). Solve 3*m - 22 = 5*h, r*m - 3*h = h + 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2084*p**2 + 21*p - 1057. Let y be n(41). Round y to the nearest ten thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*(j**(-1)\/j)\/j))\/j**0)\/(((j*(j**(-5\/6)\/j)\/j)\/j)\/(j*j**(-1\/9)))*((j*j*j**(2\/3)*j*j*j)\/j*j**5\/j*j)**(-1\/56) assuming j is positive.\nAnswer: j**(3805\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/2189 - -6557\/10945. Factor -o*k**2 - 108\/5 - 36\/5*k.\nAnswer: -3*(k + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 66*n - 785. Calculate a(18).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxxxxtexeeeepx. What is prob of sequence xtx?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -2\/3*k**3 + 0 - 1\/24*k**6 + 0*k**4 - 5*k**2 + 0*k + 0*k**5. Differentiate f(p) wrt p.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**6\/210 + n**5\/105 + 26*n**2. Solve a(o) = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hssrh. Give prob of picking 2 s, 1 r, and 1 h.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 5*r + 5*r)*(-2*r + 3*r - 5*r)*(-7 + 5 + 5) to the form k + z*r + d*r**2 and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -36389.\nAnswer: -2911.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(80) + 2 - (-4 + (sqrt(5) - sqrt(20)\/sqrt(4)))) + sqrt(10)\/(5*sqrt(200)))*-4.\nAnswer: -44 - 402*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1748 + 44660?\nAnswer: 42811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10024511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -r + 2*f + 13, -r - f + 9 = 0. Suppose 2*d - 15 = -l, -10 - 8 = -3*d + 3*l. Let w = d + -7. Solve -5*a - r*i - 50 = w, -3*a + i - 10 = -0*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 2, 0, -97 in decreasing order.\nAnswer: 22, 2, 0, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80857 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-206)\/(-412))\/((-656)\/(-64)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20*110.167\nAnswer: -2203.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -15*p**5 - 33276*p**4 - 575883*p**3 - 3132510*p**2 - 5917152*p - 1901664 = 0.\nAnswer: -2201, -9, -4, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 11) in base 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273 and 23238516?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, u: 1, t: 5}. Give prob of picking 1 l and 3 t.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k - 5916 + 948 = 6372. What is the remainder when k is divided by 59?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 102\/12)*3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - x - 1. Let p be f(-1). Let q = p - -3. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/4494 and -161\/5538?\nAnswer: 4147962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(2 - 20\/(-5)) + (1 - 13).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -90*p + 1712. Let o be n(19). Solve -40 = 4*m + 5*d, -4*m + o*d - 8 - 4 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/4 (b) 25 (c) 5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 0.5, -205?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*c**5*g**2 - 27780*c**3*g**2 + 5035*c**2 - 32*c*g**2 - 2*g wrt c.\nAnswer: 4560*c**2*g**2 - 166680*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*n - 43*n + 1. Is 28\/17 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*p - 17 = 0, 4*o + 4*p = p + 63. Calculate the least common multiple of o and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 8 = -4*s - 4*g, -2*g - 14 = 5*s. Let d be 456 - (12\/s)\/3. Suppose 0 = 8*x - d - 391. List the prime factors of x.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - n)*(3*n - 4*n + 0*n) + 3*n + 2*n**2 - 3*n)*((-2 + 4 - 3)*(-2 + 3 - 3) - 13 + 0 - 33).\nAnswer: -132*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -196 and -146918.\nAnswer: -147114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*d**2*x - 165*d**2 + 3165*d*x - 19*d + 2 wrt d.\nAnswer: -38*x - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-35)*(-18)\/6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (21 + (-12 - (5 + -2) - -8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -75*d + 69*d + 97980, 39192 = 2*z + 4*d. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 + 13*p**2 + 7*p + 7. Let x be v(-6). Suppose i - 5*h - 16 = 0, 2*i + h + x = -0. Solve i - 3 = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:47 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 668 + -469. Let s = -72 + c. Let h = s + -127.0193. Round h to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 81 + 67 = -2*m, y + 70 + 130 = 22*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 + 0*n**2 + 2*n**2 + (0 + 0 - n)*(-2 + 2*n + 2) - 4125*n**2 - 1823*n + 1823*n in the form i + v*n**2 + u*n and give v.\nAnswer: -4123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/3, -1\/12, -6.4054 in decreasing order.\nAnswer: 4, -1\/12, -2\/3, -6.4054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1045275 and -127\/238920?\nAnswer: 8362200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001100532386 to 5 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/32 (b) 3 (c) 49787 (d) -3 (e) -4 (f) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 5*l - 18. Let m(n) = n**2 + 3*n - 16. Let a be m(l). Solve -6 = a*u + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3704 - 3699. What is the closest to 2\/5 in k, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101111100000101101 (base 2) to base 11\nAnswer: 123234","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -11*f - 21. Let j(n) = -6*n - 11. Let g(b) = -5*j(b) + 3*q(b). Let o be g(-8). Let v = o - -5. Solve d + 1 = 0, v = 5*p + 4*d - 5*d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(2) + (0 + sqrt(32))**2 - (sqrt(10)\/sqrt(5) + -1 + sqrt(2))**2) + (0 + sqrt(6)\/sqrt(3) - sqrt(2) - ((sqrt(24) + sqrt(6))\/sqrt(3) - sqrt(2)))).\nAnswer: -138 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1 (b) -2\/15 (c) 3\/2 (d) 3 (e) -0.1 (f) 0.9 (g) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r - 6. Let l(x) = -3 + 1 + 2 + r*x**2. Let m(w) = 3*w + 44 - 44. Calculate l(m(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 224 + -216. Sort z, 0.5, 3\/5, 3 in increasing order.\nAnswer: 0.5, 3\/5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/1072 and -3\/16?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 265544\/13 + -20372. Which is smaller: d or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*v - 21396 = -4*d - 187*v, -21412 = -4*d + v. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**5 + 156056*g**4 + 1525054468*g**3 + 57786913632*g**2 + 585047844864*g + 1786495205376 = 0. Calculate g.\nAnswer: -19488, -24, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -78 (base 13) to base 14\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 62*w**2 + 177*w + 67. Calculate v(59).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -38287, 4, -436 in increasing order.\nAnswer: -38287, -436, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3325631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbbbbgbbbbbbbbgbb?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -40*j - 211. Let z be v(-4). Let p = z + 91. Calculate the remainder when 81 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -15*c - 520. Let s(f) = -17*f - 522. Calculate 6*s(j) - 7*w(j).\nAnswer: 3*j + 508","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 222238.\nAnswer: 1\/222238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 685408, 685414, 685420, 685426?\n\"Answer: 6*w + 685402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 620418?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 620288 and 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -71073 (base 9) to base 6\nAnswer: -1000150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278267 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, t: 7}. Give prob of picking 2 t.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33448218 - -33448231.99999755. Let m = 14 - q. What is m rounded to seven decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 562*m**3*t**5 + 10573604*m**3*t - 287*m*t**5 + 2*m*t wrt t?\nAnswer: 11240*m**3*t**3 - 5740*m*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3939 - -86595\/22. Let j = 638 + -33173\/52. Calculate the common denominator of d and j.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-8\/9)*z)\/(z\/z**35)*((z*z**15)\/z)**(-23) assuming z is positive.\nAnswer: z**(-2789\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/108)\/((-1)\/(-3)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-5.498.\nAnswer: -0.05498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 4 + (-3 + 4 - (2 - 2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40002.54312 + -125?\nAnswer: -40127.54312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-2*n + 25 - 10 - 9).\nAnswer: -2*n + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320022 divided by 1320022?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -160698, -1, 7 in ascending order.\nAnswer: -160698, -1, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*a = 10, 0 = 2*n + 2*a - 6 - 14. Calculate the greatest common divisor of n and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*a**2 + 5 + 6*a**2 + 37*a - 35*a - 30*a**2 + 1 - 3*a**3 in the form w*a**2 + s + c*a + h*a**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 19. Suppose -6*g + 2*g + j = 0. Solve 2*f - 14 = -g*c, -3*f - 29 + 0 = -4*c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + m + 0)*(-4*m**4 - 12*m**4 + 14*m**4).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) 0.626 (c) -2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*(-22)\/33)\/(2\/(-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*s + 963 = -247 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 20\/3*r**3 + 0 - 200*r**2 - 5*r - 1\/12*r**4. Factor k(z).\nAnswer: -(z - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**3 + 16*j**2 + 5*j + 2. Let m be p(-5). Let v = 349\/4 - 87. Factor i**m + 0 + i + v*i**3.\nAnswer: i*(i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*y**2 + 11*y**2 - 1082*y**3 + 19*y**2.\nAnswer: -1082*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*g + 3*m - 26, 6 = 3*g + 3*m. Suppose 0*p = 2*p. What is the second derivative of -9*y**4 - g*y - 7*y + p*y + 4*y wrt y?\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.7037954128 and -1300.\nAnswer: -1305.7037954128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 4*v + 14. Let t(w) = -3*w**2 + 8*w - 19. Let j(z) = -4*b(z) - 3*t(z). Suppose -3*m + d + 7 = -16, 3*d + 5 = m. Calculate j(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35654183.\nAnswer: 35654183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -0.4 (b) 5 (c) -4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/3991160 and -143\/560.\nAnswer: 55876240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1272612 to 3 dps.\nAnswer: 0.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 801131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 11*d**2 - 140*d - 42. Is 79 a factor of b(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**4. Let v(a) = -92*a**4 + 378. Let h(z) = 6*r(z) - v(z). Find the first derivative of h(g) wrt g.\nAnswer: 344*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -4 (c) -7 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 239331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*w + 12. Let t(l) = -l**2 + 5*l + 5. Let i be t(w). Round i to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 3 (c) 0 (d) 11 (e) -2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 21 = -3*o, 2*o + o - 2*i - 21 = 0. Differentiate 5*j**2 + 16*j**2 + o + 11*j**2 wrt j.\nAnswer: 64*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 2:23 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(91) - sqrt(91))*-4)\/(sqrt(567) + sqrt(7)) - (sqrt(91) + sqrt(91)*-2*3)\/(sqrt(7)*-3*-1).\nAnswer: 43*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27377864 and 170.26.\nAnswer: -27377693.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 143*(-24)\/660*(-25)\/2?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43245 (base 6) to base 7.\nAnswer: -23204","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Let k = 24 - 20. Let r(m) be the second derivative of -5\/12*m**k + 0 + 3\/10*m**5 + 0*m**2 + 0*m**3 + 2*m. What is the third derivative of r(n) wrt n?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2282\/293 or 9?\nAnswer: 2282\/293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 817850330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -391383 or -1?\nAnswer: -391383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iifiikfiiiiikiiiikii. Give prob of picking 2 k and 2 i.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.97915.\nAnswer: -4.89575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-1)\/((-2)\/(-3)). Let q be (9 - c)\/2 - -7. Solve 5*m + 2*f + q = 0, 7 = m - 5*f - 18 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 15*o**2 + 20*o. Let a(f) = -19*f**2. Give s(a(m)).\nAnswer: 5415*m**4 - 380*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46093637 is divided by 251?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 - 0.33. Let g = 63 + -316\/5. Let x be (2 - -3) + -2 + 56\/(-24). Sort j, g, x in decreasing order.\nAnswer: x, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 + z**2 - z. Let i be w(1). Suppose 14*x + 20 = 3*g + 10*x, 3*g + 2*x = 44. Solve -2*a + g - i = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 28*v + 52. Determine u(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*l = 2072 - 2856. Let -5\/2*p**l + 15\/2 + 20*p + 0*p**3 + 15*p**2 = 0. What is p?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(40\/(-64))\/5. What is the second smallest value in j, 0.8, 1, 2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-5 - -4) + 6. Suppose -6 = p + 5*j + f, 31 = 3*p - j. Suppose 3*h + 0 = p. Solve 4*r - 6 = 3*o, 0 = -r - 0*r + 3*o - h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 788*x - 133652. Give d(247).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 19.6. Let j = 1.2 - 1. Put j, b, -0.5 in decreasing order.\nAnswer: j, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 6*l**2 - 2*l - 4. Suppose g - 5 + 0 = 0. Calculate the remainder when 30 is divided by u(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**2. Let o(y) be the third derivative of -13*y**5\/60 + y**4\/12 + y**2 + 168. Calculate o(d(v)).\nAnswer: -117*v**4 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 843317455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410132229.\nAnswer: 3, 13, 109, 96479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {m: 1, b: 3, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30118 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 17*q - 19*q - 40 + 31 - 48.\nAnswer: -2*q - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 16810\/19, -1, 2\/17 in ascending order.\nAnswer: -1, -0.09, 2\/17, 16810\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.08 (c) 19.3211 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 12:47 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-127 - (-115538)\/902) + (-92)\/(-198)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39439203 and 591?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = 14, g - 2 + 9 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 593\/276 - -7\/69. What is the common denominator of 31\/4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, x: 3}. Give prob of picking 3 a.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 931087741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2*k + k)*(-3*k - k + 3*k) + k**2 - 2*k**2 + 2*k**2 + 2*k**2 + 0 + 0 - 9*k**2 + 1 + 6*k**2 - k + 1.\nAnswer: 2*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 44*d**3\/3 - 31*d**2\/2 - 5481*d + 3854. Differentiate h(c) wrt c.\nAnswer: 88*c - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10 + (-9 - -20) + (-20)\/14. Is 241 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htp when three letters picked without replacement from pitwpvht.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**15)**(-46) assuming r is positive.\nAnswer: r**(-690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104 - -192. Let b = 3 + -3. Suppose 3*m = -b*m + 33. Calculate the greatest common factor of w and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 - -78. Suppose j = t*c - 3*j - 52, c = 5*j + 9. What is the greatest common factor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43 and -1570.\nAnswer: 67510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1267978538524 and -0.5.\nAnswer: -1267978538524.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042392511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.96?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6398.\nAnswer: 2, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1666994484 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, c: 3, s: 1, x: 3, t: 2, k: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025303997 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.22 - 23.62. Let v be 0 - (3\/(-45))\/((-2)\/6). Sort 0.6, g, -5, v in increasing order.\nAnswer: -5, g, v, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5063.\nAnswer: 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + -3 - (9 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3530843396.\nAnswer: 2, 882710849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17597 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 8*t**2 + 4*t - 27. Let q(j) = -4*j + 51. Let z be q(10). Does 19 divide f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(847))*2 + sqrt(847) + -2 + (sqrt(847) - (-2 + sqrt(847)))*-5 + -2)**2*-5.\nAnswer: -38295 + 1980*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppiip. What is prob of sequence ip?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 15*j**3 - 3*j + 2. Let o be y(1). Let f(d) = -d**2 + 19*d - 17. Calculate the remainder when f(o) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 281 - 111. Let j = i + 103. Solve -j*b + 2 = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 20778*b - 340. Let s(d) = -2*d - 34. Calculate -j(m) + 10*s(m).\nAnswer: -20798*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 2. Let a(b) = 5*b**2 - 11. Let s(p) = -2*a(p) + 11*i(p). Let q(l) be the first derivative of -l**3 + 6. Determine q(s(f)).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -891 divided by -297.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5954 and 2938.\nAnswer: 672802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000010010001001 - 101?\nAnswer: 11000010010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/((-18)\/3))\/(18\/(-24))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 - 4*h**2 - 4*h - 1. Let g(y) = 4*y**3 + 7*y**2 + 7*y + 2. Determine 7*a(n) + 4*g(n).\nAnswer: 2*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155*h**5 + 44*h**3*k + 3*h*k - 6*h + 2830*k wrt h.\nAnswer: -3100*h**3 + 264*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397078*d**2 - 793765*d**2 + 396684*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -49a2 (base 13) to base 14\nAnswer: -3b3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 5:56 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 118, 124, 132, 142, 154, 168?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = -3*d + 2*y, 3*y - 2*y = 2*d + 73. Let q be (-16)\/(-6)*3\/d. Let n = 7 + -5. Which is the closest to n? (a) q (b) 0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1424922550?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 8:10 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 5*f**2 - f + 20. Let b be v(4). Let n(q) = -q**3 - 4. Give n(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648319707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3\/2 + 32*x**2\/3 - 190*x\/3 + 200\/3 = 0. What is x?\nAnswer: 4\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*y - 556 - 207 + 67.\nAnswer: -266*y - 696","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 458da (base 14) to base 8\nAnswer: 512270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 551045962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 4*n**2 - n**2 + (-n + 2*n - 3*n)*(9*n - 4*n + 4*n) + 3*n**2 - 5*n**2 + 0*n**2 to z*n**2 + u + i*n and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 7 = -4 - 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -109996492 - -1?\nAnswer: -109996491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utttulyfflyylufl. What is prob of picking 2 f and 1 l?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -36*u**6\/5 - u**5\/10 + u**4\/6 - 4*u**2 - 233*u. Find the third derivative of f(q) wrt q.\nAnswer: -5184*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033415597 rounded to five dps?\nAnswer: 0.00334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.85 - -1.85. What is the biggest value in n, 0.2, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20732830 divided by -2073283.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x = 97 - 125 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -2691.\nAnswer: -2696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 1, v: 1}. What is prob of picking 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (7 + 1 - 13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 1.909?\nAnswer: 1.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-76)\/(-6))\/((-5)\/(-1710)*6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 30.5744l?\nAnswer: 30574.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.3, 0.1, 2, -2418, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 3*v - 13*v.\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 6*d**2 + 56*d + 120.\nAnswer: -2*(d - 5)*(d + 2)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 50 * -2\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*g*u**2*v - 30*g*u**2 - 3*g*u*v**2 + 876*u**2*v**2 + 3*u**2*v with respect to g.\nAnswer: 10*u**2*v - 30*u**2 - 3*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -40*y + 14*y + 12*y**2 + 11*y**2 + 17*y**2 + 149 - 39*y**2. What is u(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -90. Let n(a) = -a**2 - a - 1. Let d be n(-2). Sort d, q, -1 in descending order.\nAnswer: q, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 26*x**2 + 72*x - 1289. Give a(27).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 4. Let t be m(-6). Let v be -2 - 4*-2*t. Suppose 5*a - 2*l - 202 = 0, -3*a - 5*l - 30 = -176. What is the highest common factor of a and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6673*c + 3475*c + 3689*c)*(-27 - 43 + 2).\nAnswer: -33388*c + 136","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*u + 16. Suppose 0 = 2*s + 3*x - 83, 6*x - u*x = -s + 46. Calculate the remainder when s is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1312324 (base 11) to base 16.\nAnswer: -22ac96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2817 (base 11) in base 10?\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2281442.\nAnswer: 2, 1140721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4202011*k**2 + 21865830?\nAnswer: 8404022*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6987*k**6 - 1360*k**4 - 12658338*k**2 wrt k?\nAnswer: -838440*k**3 - 32640*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 682939641 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 322800 and 408?\nAnswer: 5487600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d**(1\/9)\/d*d)\/d)*d\/d**0*d*d)**(-4\/19)\/(((d**(-2\/9)*d)\/d*d**(2\/9))\/(((d\/(d\/(d**4\/d)*d))\/d*d*d)\/d**3)) assuming d is positive.\nAnswer: d**(-176\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, f: 1}. Give prob of picking 2 v.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n + 4*n + 8*n. Let z(p) = p**2. Calculate i(z(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 0.92.\nAnswer: -9.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -103*d**9\/252 - 31*d**5\/12 + 180*d**2. Find the third derivative of q(a) wrt a.\nAnswer: -24720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50\/9 + 1016\/63. Sort -1\/4, 0.3, q in ascending order.\nAnswer: -1\/4, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 2*z - 1. Suppose -5*p - 38 - 37 = 0. Let d = p + 11. Determine c(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3203, 0.4, 2\/7, -905?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 2:44 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0613? (a) 168 (b) 1\/2 (c) -0.4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 divided by 262?\nAnswer: 195\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i**2 + 10*i + 9. Is q(-10) 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 {t: 1, u: 3, g: 2, s: 1}. What is prob of sequence tuu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 5 + 0 + sqrt(704) + 1)*5)**2.\nAnswer: 4000*sqrt(11) + 20100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*n*w**4 + 62*n*w**2 + 4*n*w + 4*n + 7*w**4 - 92*w**3 - 20 wrt w.\nAnswer: 120*n*w + 168*w - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, -10, 3, 5 in increasing order.\nAnswer: -10, 3, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 3*c**2 + 3*c + 6. Let i be s(-3). What are the prime factors of ((-19)\/i)\/(2\/42)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -25 + 22 + (-3 - -9) + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15077 is divided by 1883?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62077 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 8*n + 14. Let q be r(10). Let c(k) = -k**3 - 6*k**2 - 4*k - 3. Let g be c(q). What is the greatest common divisor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (42\/(-49))\/(3\/(-28)) - -70 is divided by (-29)\/((-2 - -1)\/1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00100983189 rounded to 6 decimal places?\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c + 20. Suppose 5*y + 17 = -23. Let r be w(y). Solve -r = -3*k + 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/4 + 6 + -1 + -6 - 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*f*z**2 + 21*c**3*z**2 + c**3*z + 34*c**2*f + 2*c*z + 2*z wrt z.\nAnswer: -2*c**3*f + 42*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npi when three letters picked without replacement from pipfzqnq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 3, 2, -22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 43 = 3. Let s be (17\/4)\/((-2)\/a). Let c = s - 11. Solve 4*z = -26 + c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + 125622646?\nAnswer: 125622676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 707*s**2 - 2827*s - 22. Give d(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 1 (c) -0.1 (d) -179\/6 (e) 0.008\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -24*s**2 + 7*s - 504. Let n(k) = -19*k**2 + 6*k - 501. What is -4*g(t) + 5*n(t)?\nAnswer: t**2 + 2*t - 489","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -518, -534, -550, -566, -582?\n\"Answer: -16*i - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + m + 41 = 0, 0 = -4*m - 5 + 1. Let p be (27\/(-15))\/(3\/h). What is the greatest common factor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202390193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 32 = 5*j, 2*j + 2*j = 3*x - 25. Let w be -6*(-1)\/x*8. Suppose 0 = 5*s, -k + 5*s = 3*k - w. Solve -4 = 4*t + k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, -482, -3, 126 in descending order.\nAnswer: 126, 2, -3, -7, -482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(-4*sqrt(20)\/sqrt(5)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -283000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/((-4)\/(-3)))\/(6\/(-8)). Let l be ((-6)\/q)\/((-6)\/(-4)) + 2. Suppose o - 2*i - 78 = 0, -o - l*o + 3*i = -411. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 29. Let s be 0\/v + (-2 - 1)*-1. Find the second derivative of -2*l**5 - 18*l**3 + 18*l**s + 13*l + 21*l**5 wrt l.\nAnswer: 380*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1593 and 5310.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 266391 = 1464968 + 980420. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -19) + 52 + -68\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9, -1, 7?\n\"Answer: 8*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u - 85. Give s(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.59 + 0.0336.\nAnswer: 0.6236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - 13) + (233 - -1607)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 7*v - 5. Let w be z(-7). Let m be ((-592)\/2)\/(w\/(-250)). Round m to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1772137 (base 9) to base 4.\nAnswer: -3302100130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvxe when four letters picked without replacement from {p: 3, v: 2, x: 3, e: 6, k: 3}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-314)\/(-471))\/(2\/(-12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1939 - 1.8061. What is the second smallest value in -21.7, z, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**7)\/((m\/(m*m\/m**(-3)*m*m))\/m)*m**(-4)\/((m\/m**(3\/2))\/m*m))\/(((m\/m**(-4))\/m**2)\/(m\/(m**(5\/4)*m)*m**9)) assuming m is positive.\nAnswer: m**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-15)\/(-90) - 1388\/(-24) is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5471 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003712 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y = -19*y - 73. What is the remainder when y is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525181 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 26. Suppose j*u - 222 = 2*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -273475*t**2*y**2 + t*y**2 + 5*t*y - y**2 - 22*y wrt t.\nAnswer: -546950*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*r - 4*j, j + 30 = 2*r + 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 2) in base 16?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*z**3 - 9*z**3 - 3*z**3 + 9*z**3.\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -175978200 to the nearest one hundred thousand.\nAnswer: -176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.01 + 0.01. Let j be 3\/(-6)*-4 + (1 - 0). Let r = -2734 - -2733. Sort b, 1\/5, j, r.\nAnswer: b, r, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 949, -3, -15, -1, 9, 0 in increasing order.\nAnswer: -15, -3, -1, 0, 4, 9, 949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 361 + 46 = 0. Suppose -33*r + w*r - 6836 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0, -2\/11, 3\/4, -3, -1401?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -722, -1457, -2196, -2939, -3686, -4437?\n\"Answer: -2*p**2 - 729*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -2 (b) 15 (c) 0.01 (d) -9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 2:29 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/251 in 0.5, 0.37, 978?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n - 2 - 6*n + n as i + b*n and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 + 66 = -76*a - 28 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + sqrt(200)*-2 + sqrt(200))**2.\nAnswer: 20*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**10\/37800 - s**6\/144 - s**5\/30 + 6*s**2. Let n(w) be the third derivative of u(w). Differentiate n(y) with respect to y.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twww when four letters picked without replacement from {w: 6, t: 12}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2730 divide 36216180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426518 is divided by 3136.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 6 + 33. Let f = 0 - -16. Calculate the remainder when f is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 12*c**2 - 10*c + 17. Is 3 a factor of z(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t = 21*t + 26*t + 2774 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7445262 (base 8) to base 10.\nAnswer: 1985202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3130 divided by 313?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-140280012)\/(-42) + (-2)\/7. Round l to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449 minutes after 5:38 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-45)\/(-6)*4\/6. Let m = 166 + -171. Let o = 2 + 0. Put o, m, i in decreasing order.\nAnswer: i, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65420 = -13*n - 25423 + 57425. What are the prime factors of n?\nAnswer: 2, 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 21*h. Let z(s) = 479*s. Calculate i(z(a)).\nAnswer: 10059*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*y + 10. Let q(p) = -10*p**3 + p. What is q(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3788 + 5189. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 28109433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/50 - (-268)\/(-360).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 14 + 8. Suppose -6 + 41 = 5*k. Calculate the remainder when (-4)\/m + 282\/22 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*n - 32*n - 34*n + (5 - 6 - 14)*(-3*n + 4*n + 2*n).\nAnswer: -98*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -27732 divided by -6933?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1039, 2095, 3113, 4093, 5035?\nAnswer: 5939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 110 = 5*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13391 and 9565.\nAnswer: 66955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 5*w + 1. Calculate f(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000146988 rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789366 = -103*z - 791838 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*p + 15. Let m = 46 + -58. Let q be (-2 - -6)\/(m\/(-6)). Solve o + q*o - p = 2*u, 0 = -3*o + 3*u + 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27109909093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbmndmmxbddxddxxx. Give prob of sequence xm.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16047225654 and 0.45.\nAnswer: -16047225653.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**19*y))\/(y*y*y**14))\/(y*y**(-8\/7)*y**23) assuming y is positive.\nAnswer: y**(-405\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -4 + (9 - (-13728 - -33)). What is m rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - x**2 - 5*x + 6. Let c = -94 + 98. Let y be h(c). Do 1 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 2452\/7183 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 732418, 1464819, 2197216, 2929609, 3661998, 4394383?\nAnswer: 5126764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and -255980908398.\nAnswer: -255980908392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 48638798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 13*m**2 - 299*m + 21. What is the tens digit of i(32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftn when three letters picked without replacement from fyunfyftmyuyyym?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**3 - 71*g**2 - 22*g - 26. Determine s(-18).\nAnswer: 694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 513966 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 61 - 17 = 4*d, -4*d + 5*x = -4. Let k be (-3)\/(-2*(-1)\/(-28)). Suppose k = 4*a - d. Calculate the remainder when a is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 9*u**2 + 9*u - 2. Let s be m(8). Let v(q) = q**3 - 4*q**2 - 3*q - 8. Let c be v(s). Suppose -5*r - c = -216. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -9*x**2. Let s(r) be the third derivative of -49*r**5\/60 - 141*r**2. Give q(s(c)).\nAnswer: -21609*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 440 divided by -6\nAnswer: -220\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*v + 5*t, -v + 0*t + 10 = -3*t. Solve v + 0 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*k = 40*k - 282. Solve -9*s = -10*s - k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 - 726\/7. Let j = 16 - 18. Let w be (-4)\/(-6) + j + 1. Which is bigger: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + sqrt(1216) + 1))**2.\nAnswer: -1600*sqrt(19) + 30800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1319508181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 49.44383 micrometers?\nAnswer: 0.00004944383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1743461.\nAnswer: 1743461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13089, -25913, -38735, -51555, -64373?\n\"Answer: g**2 - 12827*g - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 8*p - 3. Calculate q(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5599637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6238\/3 - 2056. Let a = c - 23. Let p = -28 + 20. Are p and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 121?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 3*k - 23 = 0, 4*l - 2282*k - 22 = -2280*k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 166 + -112. What is the smallest common multiple of j and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x**5 - 110979*x**4 - 2977368*x**3 + 862254*x**2 + 2977356*x - 751275 = 0 for x.\nAnswer: -27, -1, 1\/4, 1, 9275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -81 + 1494?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 1, 24, -1.\nAnswer: -1, 1, 24, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*u - 713, 0 = 3*i - 7*i - 5*u + 2865. List the prime factors of i.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6471 - -6488. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -586 - -544. Is c at least -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024805685 to five decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1337*q - 138 = 1334*q. Let o = 14 + -10. Suppose o*w - g - 22 = 0, 0 = 4*w + 5*g + 12 - q. Solve -3*s + 11 = -4*u - w*s, -4*u = -3*s - 19 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 7*z**2 + z - 10. Calculate d(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1498584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -37207*z - 111716. Determine o(-3).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**2 + 6*m - 6*m + (-2*m - 4 + 4)*(0*m - 2*m - 2*m) + 6*m**2 - 3*m**2 - 2*m**2 to v + a*m**2 + b*m and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*(sqrt(68) + sqrt(68) + sqrt(68)*-2 + sqrt(68)) + 6*(sqrt(68) + -1) + 3 + -2)**2.\nAnswer: -160*sqrt(17) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 - 3*m**3 - 143586 + 143604 + 5*m**3 + 5*m - 2*m**2 to the form z*m**3 + h*m + i + s*m**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*j - 96 = 0, -3*q + j - 80 = -0*j. Let n = -19 - 24. Let o = q - n. Solve -7*z + 2*z = -o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**3 + y**2 + 2*y + 1. Let n be c(-1). Let h(m) = -2*m**2 + m + 1. Let u be h(-2). What are the prime factors of 324\/u*n\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/(-156))\/(8\/36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 + -6. Suppose 0 = -3*y + 7*x - 3*x + 27, 0 = 4*y - 2*x - 26. Suppose -p - d = -y*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35417289 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 12*j + 17. Calculate n(-8).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -119*b + 4495*b**3 + 119*b + 7 - 6 + 253*b**3 as m*b**3 + i*b**2 + d + o*b and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 2\/7, -169, -2.1, -0.2 in descending order.\nAnswer: 2\/7, 1\/6, -0.2, -2.1, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/260 and 123\/11456540.\nAnswer: 148935020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 653, 2630, 5887, 10388, 16097, 22978, 30995, 40112?\n\"Answer: -6*i**3 + 676*i**2 - 9*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 157*m - 1566. Let d be j(10). Solve -4*v + v = 9, 15 = -d*k - v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 414210 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4656 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 2450?\nAnswer: 2444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88\/176*(-3 - -17565)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 6:36 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.436 + 0.564. Let y = 302\/3 - 920\/9. Let b = -19\/18 - y. What is the biggest value in b, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 29, 26, 17, 2, -19?\n\"Answer: -3*t**2 + 12*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 204505 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*p**2 - 3*p**3 + 11*p**2 - 102*p + 30*p + 36*p + 39*p as w*p**3 + i + v*p**2 + r*p and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -38, -38, -34, -26?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -b + 688. Let v(o) = -19*o**2 - 483*o + 321. What is the remainder when b is divided by v(-26)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9*(-2)\/6*(-5)\/15. Solve u = 2*u - 2*f + 8, 0 = -4*u - 3*f + a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1214 (base 10) to base 6\nAnswer: -5342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 5:35 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -12. Let y be 6\/(-4) - (-2)\/r. Let h = 1.1 + 0.9. Which is the nearest to -1\/2? (a) h (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -13 - 3*d**3 + 3*d**3 + 10*d**2 + 2*d - d**3. Is h(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 67.62568 millilitres?\nAnswer: 0.06762568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**8\/5040 + t**7\/5040 - t**6\/720 + 20*t**3\/3 - 18*t**2. Let u(m) be the first derivative of a(m). Factor u(b).\nAnswer: b**2*(b - 1)*(2*b + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 7*l - 264. Let y = 1 - -1. Suppose -y*s - 108 = -5*s. What is the greatest common divisor of l and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -223, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(480)\/(2*sqrt(1152))*-3)\/((sqrt(132) - (sqrt(132) - (sqrt(132) + sqrt(132)*-1 - sqrt(132))*4))\/(3*sqrt(22)\/sqrt(2))).\nAnswer: -3*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*m + 46157 = 242*m. What is the remainder when 1848 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u = 0, 3*k - 8 = -5*u - 2. Solve 19 = 5*j - 6*w + 10*w, -4*j - k*w + 14 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 3*x + 43. Let h = -25 + x. Let g be 46 - 4\/(2\/(-1)). Calculate the greatest common divisor of h and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7523061 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by 20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 3*g + 3. Let q be z(-4). Solve q*v - 3*v + 2*y - 26 = 0, -4*y = -3*v - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/132)\/(10\/(-12))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + 0.7. Which is the nearest to r? (a) 3 (b) -2\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*g + 35, 10*g + 4 = 8*g - 4*z. Let y be (-5)\/2*(-16)\/20. Suppose -2*o - g = 2*r, y*o + 2*o - r + 1 = 0. Which is bigger: 2\/53 or o?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1626502572 and -0.01.\nAnswer: 1626502571.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336200 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) - 56\/66. Which is the second smallest value? (a) 1 (b) 2\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.44 - -21.56. Let n = -21 + d. Let l = n + 5. Is -2\/7 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/4 + 1565*p**3\/4 - 153272*p**2 + 152881*p.\nAnswer: -p*(p - 782)**2*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(((-18)\/48)\/((-171)\/12)). Suppose 0 = 3*j - j - 2*q - c, -4*q = 3*j - 677. Does 57 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 7:56 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 304*q**2 - 3166*q - 98695. What is n(292)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -55*p + 1474. Determine o(29).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -1221200?\nAnswer: -1221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -7, -1, 11, 29, 53?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f**2 - 5. Suppose 4*o = o + 10158. Let i(p) = 0*p + 3387*p**2 + 0*p - o*p**2. What is i(m(a))?\nAnswer: 64*a**4 - 80*a**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9*b**3 - b**2 + 2*b - 4. Let k(t) = 9*t**3 - t**2 + 3*t - 5. Let o be (-408)\/108 + 34\/(-153). Calculate o*k(u) + 5*p(u).\nAnswer: 9*u**3 - u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0.1 (c) -2\/43 (d) 1\/4 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6\/21943 (b) -0.0711 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135 + 221. Let x = j - 85. Sort x, -3\/8, 0.5.\nAnswer: -3\/8, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:06 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 0*v = 10, -4*f - 3*v = 13 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -67*u**5\/60 + u**3\/2 - 1375*u**2. Let b(j) = 3*j. Determine b(c(d)).\nAnswer: -201*d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*h**4 - 3419*h + 680482 wrt h.\nAnswer: -112*h**3 - 3419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v + 4. Suppose 5*u + 2*m + 47 = 0, 3*u + m + 25 = -m. Let b be l(u). Calculate the highest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**2 + 3*m + 8. Calculate the lowest common multiple of a(-4) and 2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 8:13 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 - 9.6. Let r = t + 6. Let m = r + 1.8. What is the biggest value in 4, m, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -12*t + 288. Let m be i(20). Let n(p) = -11*p + 563. Let b be n(m). Solve 0 = -d - 3*v - 10, -2*d + 3*v = 2*d - b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0.7. Let j = 51320 + -51319.3. What is the nearest to 1 in k, 0.12, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*z - 4)*(122 + 112 + 117 + 673*z - 351).\nAnswer: -1346*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 19260474524692?\nAnswer: 19260474524695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07618 + -215.52382. What is d rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 17\/4 (b) 0.1 (c) -3 (d) -4\/9 (e) -1.6 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 531 minus 72528149?\nAnswer: -72527618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 48. Let d(a) = -a**3 - 27*a**2 - 25*a + 31. Calculate the lowest common multiple of d(-26) and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 6:12 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416 = -2*x + 2*q + 424, 8 = x - 2*q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16340 divided by -1.\nAnswer: -16340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125831196?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2 - 29180073*l + 29180070 = 0. What is l?\nAnswer: 1, 9726690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 1 = 3*g. What is the remainder when 3104\/136 + (2262\/(-442))\/(-29) is divided by (g\/(-10))\/((-1)\/(-5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 3*v**2 + v**2)*(-1104 - 146*v**2 + 1104 + 2*v).\nAnswer: 146*v**4 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*j - 664 + 1341 - 675 + (-6 + 26 + 38)*(j - 2*j + 0*j).\nAnswer: -68*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325*l + 1226550000 = 328*l. Suppose 28*x = 41*x - l. Round x to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 891*u + 841*u - 427*u - 2737*u.\nAnswer: -1432*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k**2*p*w + 2*k**2*p + 3*k**2*w**3 + p*w**2 - 9*p + w**3 with respect to k.\nAnswer: 8*k*p*w + 4*k*p + 6*k*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93897?\nAnswer: 3, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1586 - -1586.0003814. Round n to five decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*x + 49*x - 6 = -5*z, 20 = -5*x + 5*z. Put -37, x, -5 in decreasing order.\nAnswer: x, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*s, 5*o + 14 = 5*s + 4. Let q be 1\/(-2 - 2\/(-2)). Let a = q + 4. Solve -a*t - 15 = -3*c, o*c - 23 = -0*t + 5*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 49066, 196310, 441762, 785458, 1227434, 1767726?\n\"Answer: 6*n**3 + 49068*n**2 - 2*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5031\/(-1677)*(-12)\/(-9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2144.2 - -2144. Let y = 45.7 - 52. Let s = -1.3 - y. What is the closest to 0.2 in s, h, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*p + 108*p + 109*p + 114*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (13 + -25) - -6.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -829, -3311, -7449, -13243, -20693, -29799?\n\"Answer: -828*v**2 + 2*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w - 7. Let z(j) = 7*j - 14. Let r(i) = -5*a(i) + 3*z(i). Calculate r(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (10 - (4 - 0)) + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*y - 4*o + 52, 5*y - o = 97. Suppose -2*g - y = -3*u, -2*g + 2 = -4*g. Suppose -4*q + 2 + u = 0. Solve 0 = -4*m + 10 - q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -135 - -137. Suppose 2*y + y + l = -20910000, -13940000 = f*y + l. Round y to the nearest one hundred thousand.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 10:31 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q = h + 50, -2*h - 15 = -q. Let z = q + -17. Solve -3*i + 5*i + 4 = z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*r - 20. Suppose 4*l - q = l + 5, -3*l + 2*q = -4. Solve w = -l*k + r - 15, -2*k = -5*w - 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 9 = 11, 0 = -5*r + 2*f + 1018. Suppose -216 = -2*j - k, -2*j = -9*k + 4*k - r. What are the prime factors of j?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*w - 40 = 53, -2*s = 3*w - 62. Let n = -13 + s. Let u be (56\/7)\/(-2) - (-76)\/n. Put 1, -5, u, 3 in descending order.\nAnswer: 3, 1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 2:55 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 386328?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -6. Suppose 5*s - 35 = x*j - j, -3*s = j - 13. Suppose 0 = 5*z + 2*q - 5994, 0*z + 4*z = s*q + 4815. What is z rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 208? (a) 0.3 (b) -0.2 (c) -2\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.030023 rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + n + 3 = -0*n, -4*b - 9 = 5*n. Let i be (-5)\/7 - b - (-2)\/42. Factor 0 - 1\/3*h**3 + 1\/3*h - i*h**2 + 1\/3*h**4.\nAnswer: h*(h - 1)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, b: 2}. What is prob of picking 2 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -322 - -555a4?\nAnswer: 55282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17896845137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 57 + 84 + 3*q**2 - 4*q**2 + 4.\nAnswer: -q**2 + 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 7*d - 2 - 3 - d**3 - 3*d to the form s + p*d + k*d**2 + q*d**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*k + 165*k - 337*k + 14*k**3.\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*y**2 - 67*y**2 - 806 + 108*y**2)*(2*y**3 + 2*y - 2*y).\nAnswer: 2*y**5 - 1612*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60\/103 - -1522\/3399. Find the common denominator of -20\/93 and s.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 106\/((-1)\/((-497)\/6475) - 13). Calculate the highest common factor of n and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -13531506 in descending order.\nAnswer: -1, -3, -13531506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 342 = 5*u - 174, v = 3*u - 314. What is the greatest common factor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 24241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 4 + 0*q + 3\/2*q**2 - 4*q**3 - 12\/5*q**5 + 9\/2*q**4 + 1\/2*q**6. What is l in y(l) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -180*q - 4058. Let g be c(-23). Solve 28 = -g*m + 86*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 69 - 89 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18.54939431479 from 1140.\nAnswer: 1158.54939431479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1043*a + 53. Let n(s) = -349*s - 18. Calculate -17*n(t) - 6*r(t).\nAnswer: -325*t - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10011 + 10220002202?\nAnswer: 10212222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 10. Let p be y(6). Let c(h) = 11*h + p*h + 7 - 8*h. Let m(i) = 9*i + 13. What is -7*c(f) + 4*m(f)?\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Suppose 4*x - 5 = w*x. Let z = -9.8 - -7.8. What is the nearest to 2 in z, -2\/15, x?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17895 and 0.5?\nAnswer: 0.089475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, -5, 6758 in ascending order.\nAnswer: -10, -5, -4, 6758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.13 from 65735843.\nAnswer: 65735842.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 825 + -10588?\nAnswer: -b963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -239, -234, -227?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (1 + 7 + -46). Calculate the greatest common factor of j and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 + 3*h - 68)*(446*h**3 - 1472*h + 739*h + 733*h + 1 - 1 + h**3 + (-3 + 1 + 1)*(-3 + 3*h**3 + 3)).\nAnswer: 1332*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -13 - -16 - -40\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 9:14 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(11\/2)*o)**(-32)*o**0*o**7 assuming o is positive.\nAnswer: o**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b - 28*b + 0*b)*(0*b**3 + 2*b**3 + 12*b**2 - 18*b**2).\nAnswer: -76*b**4 + 228*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1828187, -14625549, -49361261, -117004499, -228524439?\n\"Answer: -1828196*o**3 + o**2 + 7*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 46.56. Let u = -0.97 + i. Let g = -1.8 + u. What is g rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 r, and 1 j when three letters picked without replacement from zrjrruzjzzrrr.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 81, 270, 619, 1176, 1989, 3106, 4575?\nAnswer: 6444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 35*w**2 + 112*w - 368. Let i be q(-31). Suppose 0 = 2*y - 40 + 2. Solve 0 = i*p + 1 + y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1, -0.4, 249?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -31, -4 in ascending order.\nAnswer: -35, -31, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**6\/60 + 5*z**4\/24 + z**3\/2 + 3*z**2. Let o(b) = -b**3 + b - 1. Let v(c) = g(c) - 5*o(c). Differentiate v(m) wrt m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112011 + 102122211222?\nAnswer: 102122022211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 5\/(25\/(-15)). Let j = -86\/217 + 30\/31. Which is the smallest value? (a) 2 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -14629*c + 2340630. Give j(160).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 5*j + 41 = -3*b, -3*b + j + 39 = 0. Differentiate 17 + 14*l**3 - b - 2*l**3 wrt l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/7)\/(6\/21 - (-75)\/210)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1092885*c**2*h*q*t - c**2*q + 2*c*h - 289*h*q - 130*q with respect to t.\nAnswer: 1092885*c**2*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -3*o - 57. Sort 1, o, 4.\nAnswer: o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**5\/20 + r**4\/12 + 35*r. Let u(b) = 23*b**3 - 11*b**2. Let t(d) = 3*l(d) + u(d). Find the third derivative of t(w) wrt w.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*z + 6. Suppose -2*u = -z*u + 4. What is the third derivative of 7*k**u + k**4 + 6*k**2 - 3*k**4 wrt k?\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1224.597 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.51*5.\nAnswer: 42.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 17*b - 2*b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81.51 - -81. Let g = b + -12.49. Sort 0.2, 0.4, g in descending order.\nAnswer: 0.4, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 16. Let z = -10 - -10. What is the tens digit of s(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 11\/70, 0.4, -1.15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3510?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 47?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -202337\/55 + 3679. Let k(m) be the first derivative of -8\/33*m**3 - 1\/11*m**4 + 1\/11*m**6 + 0*m + l*m**5 - 11 - 1\/11*m**2. Let k(w) = 0. What is w?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1072 divided by 1.\nAnswer: -1072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2*f - 75 = 0. Does f = 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 290\/(-5365) + (-17466)\/(-37). Which is bigger: -15 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -173, -1276, -4267, -10088, -19681, -33988?\n\"Answer: -157*w**3 - 2*w**2 + 2*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 959*d**2 - 2*d + 307*d**2)*(-15*d + 7*d + 8 - 3).\nAnswer: -10128*d**3 + 6330*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50771 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110849, -110809, -110769, -110729?\nAnswer: -110689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = 0. Solve o*v = 3*v + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4498 and 4498?\nAnswer: 4498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12869 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 16 + 7 + 1 - 1 - 1 + 4 - 1 - 1 + (4 + 1 - 4)*(-1 + 1 + 1) + 3 + 0 - 1)*(-15*z**2 + 3*z + 19*z**2 - 11*z**2).\nAnswer: 77*z**2 - 33*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1388)\/(-24) - 3\/9. Let y = x - 59. Let u = -1.2 + -3.8. Which is the smallest value? (a) y (b) u (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 23*z - 3*z - 51 + 75 - 57. Let q be x(2). Solve 0 = -f - 0*o - 2*o + q, 2 = 2*o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 10*p = 8. What is the second derivative of -6793*a**2 - 66*a + 6851*a**p + 0 + 0 wrt a?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**7\/840 + p**6\/480 - p**5\/240 - p**4\/96 + 12*p**2. Find z, given that j(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -2. Let c = g + 2.06. Let u = 0.07 - c. Round u to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - g + 20*g**2 + 1629*g**3 - 2 - 1624*g**3 to b + y*g**2 + x*g**3 + h*g and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1280467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**2 + 104*d + 352 = 0.\nAnswer: -22, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -726*i - 10911. What is n(-15)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 5*r**2 - 4*r - 8. Let d be y(6). Solve 4 = -n + 1, d*g - 4*n = 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 209400083*h + 83. Let q be a(-1). What is q rounded to the nearest 1000000?\nAnswer: -209000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-37376)\/(-72))\/(-16) - (-2)\/(-9). Let t = 884\/27 + s. Which is the closest to -2? (a) t (b) 0.4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -115, -446, -1009, -1810, -2855?\n\"Answer: -q**3 - 110*q**2 + 6*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**5\/60 + j**4\/12 - j**3\/6 - j**2. Let i be w(1). Solve 0 = -2*c - n - 2, -n = -5*c - i*n + 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 313633.\nAnswer: 313636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101 - 102112120012?\nAnswer: -102112111211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**3 - 3*x**3 - 2*x**3)*(-8*x**2 - 66*x + 66*x) + 2*x**5 - 4*x**5 + x**5 + (4*x**2 - x**2 - 2*x**2)*(x - x - x**3).\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.7 + -5. Sort -3, -3\/2, j.\nAnswer: -3, -3\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrrr when four letters picked without replacement from {x: 1, r: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddoxjdosdddds. What is prob of sequence xjd?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -867 + 0.208\nAnswer: -866.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (288\/112)\/18 + (-4)\/77?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3442456?\nAnswer: 2, 23, 53, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1216 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/(-18)*(-17 + (0 - -2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/231 and -16\/21081.\nAnswer: 1623237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Suppose -4*d = -26 - j. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 107448903 and -4.\nAnswer: 107448899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 5. Suppose 8 = 2*c - 4. Suppose -3*i + 5*m - 10 = c, 2*m - 13 = -i. What is the remainder when b is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 + -0.01. Let z = 1.6975 - 0.6975. Which is the biggest value? (a) g (b) z (c) -59 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -15*k**3 - 85*k**2 + 167*k + 861. What is j(-6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 + 10 - 7)*(-5 + 0 + 4)*((1 + 0 + 1)*(5*z - z - 2*z) + 1 + 2*z - 1) in the form c + w*z and give w.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a + 0*a + 3 - 13 + 2*a to the form r*a + n and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550) - (sqrt(550) - (sqrt(550) - 6*sqrt(550)*1)) - 1*(sqrt(550) + sqrt(550)*-2))\/((3*sqrt(16))\/(sqrt(32)*-1)))**2.\nAnswer: 17600\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12202021 (base 3) to base 8\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 42055272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, c: 3, i: 2}. Give prob of sequence ccc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -115156 + -5?\nAnswer: -11515b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*c - c + 5*g, -c + g = -1. Suppose 5*d - c = 60. Suppose d*h - 5*h = 1504. What are the prime factors of h?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -21\/463 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**2 - 103*w - 32. What is s(26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 l when three letters picked without replacement from zvhvlzzvlllvvvl.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 787 - 463. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 50058, 6, -3, 10.3, 3?\nAnswer: 50058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10803 = -4*m - r - 2*r, 2*m - 2*r - 5398 = 0. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p**2 - 64*p**2 + 15*p**2 + 29*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*p**3 - 6*p**4 + 3*p + 2*p**3 - p**3.\nAnswer: -3*p*(p + 1)**2*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219957013.\nAnswer: 11, 110905183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9059.\nAnswer: 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6115.406 seconds in nanoseconds?\nAnswer: 6115406000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -803450 + 82?\nAnswer: -803357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.3 (c) 155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774 is divided by 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8560 + -8498 + (-81 - -1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13125 and 84525.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17144, -17115, -17064, -16991, -16896?\n\"Answer: 11*k**2 - 4*k - 17151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 3:25 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110011101110 - -110001101?\nAnswer: 10111001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2217 and 5912.\nAnswer: 17736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 z, and 1 a when three letters picked without replacement from tzazqtqggkqqqqqzzqgg?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 409526 = -4*r + 1209518, 3*r = 2*c - 320006. Round c to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5544503 - -3?\nAnswer: -5544500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 26*d + 24. Let p be s(25). Put p, 0, -8 in increasing order.\nAnswer: -8, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, -15, -15, -9?\n\"Answer: 3*m**2 - 15*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -93, -87, -79, -69, -57?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10671105.71000726 - 10671121.71. Let f = 16 + n. Round f to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*a - 7 = 5*a, 2*b - 5*a = -2. Let y(d) = -d + 2. Let u be y(8). What is the remainder when b is divided by 9 + u - (-1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 13. Suppose -5*r = 20, 4*l - 6 = 3*l - r. Let a be k(l). Factor -2\/9*h**a - 2\/9*h**2 + 0 + 0*h.\nAnswer: -2*h**2*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**3 + 2*n**2 - 2*n + 4. Let k(w) = -6*w**3 - w**2 + 2*w - 3. Let h(c) = 2*c**2 + 74*c + 459. Let s be h(-8). Calculate s*t(j) - 6*k(j).\nAnswer: j**3 - 4*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.28 at most as big as 0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 67*n + 186 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1016 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110001111100010 (base 2) in base 5?\nAnswer: -3331323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 2\/405 (c) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75341 and 66787.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5553 = 16*c - 6751. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1012 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -12. Let s = -4683 + 9353\/2. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2000451 - 4?\nAnswer: -2000455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/4*(-108)\/((-10476)\/9215)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -30168857 less than -30168852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**3 - d**2. List the prime factors of h(3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86\/700833 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 117617, 235255, 352893, 470531?\n\"Answer: 117638*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13726 at most as big as -10232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**2 + 11*j + 147. Let p be y(-27). Suppose 0 = 2*w + 5*l - p, -4*l - 10593 = -17*w + 12*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 809 - 352. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72793.3 to the nearest 1000.\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = w + 71. Let p = -45 - w. Let v = -33 + p. Calculate the remainder when v is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -135108 to the nearest 1000.\nAnswer: -135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*b**2\/4 + 35*b\/2 - 2.\nAnswer: -(b - 4)*(17*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-12))\/(6\/28824). Suppose -l = -8*b - 349. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92.159 - 99.36. Let v = 7.2 + h. Let k = -0.0115 - v. What is k rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31248221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 11*p**2 + 3*p - 27. Let n be (-4)\/(-6) + (-527)\/(-51). Let o be c(n). What is the units digit of (-154)\/(-14)*o\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 615445 divided by 415.\nAnswer: 1483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 bigger than 249981\/1300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1, -3, -9, -480 in increasing order.\nAnswer: -480, -15, -9, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*h + 63. Let j = -97129 + 97134. Solve -3*g = -2*u - 5*g - h, j*u - 10 = 5*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -45?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/8)\/(1\/(-10)). Calculate the remainder when -27*i\/((-15)\/(-2)) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maatiiaimmmmmtamaaaa. Give prob of picking 2 t.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 4:01 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 8*t**2 - t + 3. Let i be h(-4). Let g = 36 + i. Calculate the least common multiple of g and 5.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, z: 1, w: 2, x: 5, i: 1, a: 3}. What is prob of picking 2 w and 1 a?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*l + 132*l - 4 = 0. Solve y + l = -3*i, y - 3*y + 4*i = 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -146 + 68. Let h be 13\/((-3)\/z*2). Suppose 2*d + 2*a - h = -3*a, -5*d = -a - 436. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g\/g**(-1\/11)*g)*((g*g**(2\/7))\/g)\/g*g**0\/g**(-1\/9)*(g**6\/g**(-1))**(-28) assuming g is positive.\nAnswer: g**(-137695\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -30. Solve -l - m*w = -5*l + 19, l + 19 = -4*w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2731356 and 11628?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.49 (c) 3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4 = -0*v - v, -3*v = -3*w - 6. Sort -2, v, -1, 0 in decreasing order.\nAnswer: v, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 - 250*i - 231*i.\nAnswer: -481*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 252008708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, q: 1, b: 4, g: 2, f: 6}. Give prob of picking 2 g.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.231 - -0.031. Let z = 5.13 + u. Suppose -7*d = -3*d + 12. Put -0.3, z, d in ascending order.\nAnswer: d, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6910.393 rounded to the nearest 10?\nAnswer: -6910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 389630482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 527 = 758 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 1152 - 1121 = 4*d, d = -5*j - 1 - 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2. Suppose 205*x + 16 = 209*x. Let k(m) be the second derivative of 5\/12*m**x + 3*m + 0 + 0*m**2 + 0*m**3. Give k(u(a)).\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2369, 3971, 5573, 7175, 8777?\n\"Answer: 1602*s + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/(-15) + 1*3. Let z = 0.15 + 1.85. Let g = z - 2.1. What is the second biggest value in f, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(0 - 2\/(-5)). Let q(w) be the first derivative of w**2\/2 + 6*w - 2. Let s be q(k). What is s rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*6\/42?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 9*t - 6. Let v be k(-10). Suppose 4*y = v*u - 44, -2*y - y = 5*u - 15. Calculate the least common multiple of u and 288\/16*15\/9.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 51 (b) 6\/7 (c) -5 (d) -0.058 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.3 + -13.7. Which is the third smallest value? (a) n (b) -0.1 (c) -8 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89932 or -89929?\nAnswer: -89932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 7*p**2 + 4. What is t(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-630)*8)\/(3\/(42\/(-4)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12031 (base 6) in base 5?\nAnswer: 23442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*s - 312. Let l = s + -126. Calculate the smallest common multiple of 9 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166266655 (base 7) to base 3.\nAnswer: -210120100102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - ((14 - (-15 - -18)) + -15)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*i + 3*b, -i = -0*i - 5*b - 14. Let k(d) = i - 12 + 5 + 20 + 21*d - d**2. Calculate the least common multiple of k(22) and 92.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1088) + 0)**2.\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 6 = 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-351992)\/395991*(-1)\/(10\/12)\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**2 + 47*y - 2. Let z(o) = -11*o**2 - 96*o + 4. What is 5*b(t) + 3*z(t)?\nAnswer: 2*t**2 - 53*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 408519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = l - g - 511, -5*l - 5*g = -4095. Suppose 12*i - l = -185. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7765, 15465, 23065, 30535, 37845?\n\"Answer: -5*c**3 - 20*c**2 + 7795*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31224622 (base 7) to base 4.\nAnswer: 22001230120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242302 (base 6) to base 11.\nAnswer: 14a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5252.3 rounded to the nearest 100?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155017*y**2 - 310164*y**2 + 154936*y**2.\nAnswer: -211*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syyvvvyvvysyvvvvvvvv. What is prob of sequence yvyv?\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1364, 5448, 12252, 21776, 34020?\nAnswer: 48984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26708072 and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*t - 17*t - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1278216 divided by 12.\nAnswer: -106518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a + 2. Let s(y) = 15*y - 4. Let f(i) = 4*s(i) + 7*t(i). Let b = 376 - 374. Let z(k) = -33*k + 7. Let m(u) = b*z(u) + 7*f(u). Determine m(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/9 + 44*n\/9 + 80\/9 = 0. Calculate n.\nAnswer: -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/92 and 43\/9.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -208146 smaller than -8534042\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -56668*y**2 - 27*y - 135. Let q be c(-9). Round q to the nearest 100000.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56128 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 5*n + 10. Let g(y) = y - 2. What is 11*g(h) + 2*q(h)?\nAnswer: -2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5\/4 - 295491*g**4\/4 + 27506895*g**3\/4 + 28097871*g**2\/4 - 6876723*g - 6950595 = 0.\nAnswer: -98590, -1, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*t + 1)*(-3*t**4 + t**4 + t**4) + 4*t**5 - 2*t**5 - t**5 + (-4*t + t + 4*t)*(-2*t**4 + 6*t**4 - 2*t**4) - 2*t**5 + 3*t**5 - 2*t**5.\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 1 + sqrt(3))**2 - sqrt(48)*-5.\nAnswer: 46*sqrt(3) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10891584 to the nearest integer?\nAnswer: 3300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58303 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 + 3*i + 1. Let w(y) = -6*y + 25*y**2 + 7*y + 1 - 5*y**2 - 7*y**2 - 14*y**2. Determine o(s) - w(s).\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - b - 14, -4*h = -3*h - b - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 403234, 1612974, 3629208, 6451936, 10081158?\nAnswer: 14516874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 6. Let k be t(-12). Suppose k*i**3 + 5*i**3 + 0*i**5 - 4*i**3 - 2*i**2 + 2*i**5 - 7*i**4 = 0. Calculate i.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, l: 5}. Give prob of picking 1 l and 3 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 5*r - 3*s, -2*s + 34 = 2*r + 3*s. Suppose w + 65 = -5*g, w - 43 = 5*g + r. What is the tens digit of (-236)\/(-6) + g\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53 plus -334069.492?\nAnswer: -334070.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/20 and 82\/(-4)*(-3)\/24.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-10)*270\/(-11583)*55?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1064741 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.107166 rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -33518 take away -1?\nAnswer: -33517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 5)*(-6 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -206*v**2 + 2*v*z + 2*z - 23 with respect to v.\nAnswer: -412*v + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1083.886 + -1182.82. Let q = f - -99. Let d = q - -19.934. Which is greater: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2401657379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 5*v + 4*v - v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09567 and 5.\nAnswer: 4.90433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b - 7. What is the remainder when (165\/(-5)*1)\/(-1) is divided by n(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 12*w + 2. Suppose 5*f - 6*a - 10 = -a, 4*f = -3*a + 29. Suppose 2*l = -3*i + 5, 8*i - f*l - 45 = 4*i. What is b(i)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - 2*f)*(2 - 2 - 2) + (-1 + 2 - 2)*(3*f + 2*f - 4*f) - 145 + 7*f + 145.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*u + 280*u**2 - 28*u + 8*u.\nAnswer: 280*u**2 - 104*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 2:26 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6179144054 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 102881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 7 + 1. What is the nearest to c in -1\/3, 0.3, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -583, -585, -599, -631, -687, -773, -895, -1059?\nAnswer: -1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 6. Let u = -17.3 - -17.8. Sort 5, u, b.\nAnswer: b, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 2*x + 3. Give j(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 9*v**2 + 2\/45*v**5 - 13\/9*v**4 + 1 + 169\/9*v**3 + 0*v. Let m(k) = 0. Calculate k.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1257\/14 + 179\/2. Which is the closest to 0? (a) 3 (b) 0.09 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*x**2 - 2*x**3 + 3*x**3 - 34*x + 40888 - 40888 to the form h*x + n*x**2 + m*x**3 + g and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3717 and 57099?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 - 2 + 6 - 3 + (341*h - 16*h**2 - 341*h)*(2*h - 3*h - 2*h) in the form x*h**2 + k + g*h + p*h**3 and give p.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 30. Suppose 40*p = j*p + 130. Calculate the greatest common divisor of 26 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*r + 2105 = -1955. Solve -61*d = r - 497 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/s**(1\/27))\/s)*s*s*s**(-7))**(4\/33) assuming s is positive.\nAnswer: s**(-428\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/57)\/i)**(-32)*(i**(-3\/13))**(3\/38) assuming i is positive.\nAnswer: i**(49061\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 380601209 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -6819.\nAnswer: -9\/2273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2466 = -2*r + 4*g, -5*r + 2446 = g. Suppose d + 129 = -3*v + 10, 0 = 4*d + 5*v + r. Calculate the common denominator of 125\/6 and 2\/(24*-2)*d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 691 - 693. Put v, 1, 20, -1 in decreasing order.\nAnswer: 20, 1, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(432) - 2*sqrt(432) - sqrt(432)))\/((3*(sqrt(70)*-4 + sqrt(70)))\/sqrt(7))*-3.\nAnswer: -sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 6:21 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**3\/6 + 4651*u**2\/2 - 25079*u\/3 - 3716 = 0 for u.\nAnswer: -2\/5, 4, 2787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5 - 1650*r**4 - 678804*r**3 + 1362562*r**2 - 682107*r = 0. Calculate r.\nAnswer: -839, -813, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 5:23 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 10:30 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1756, -2041, -2248, -2371, -2404, -2341, -2176?\nAnswer: -1903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*1*(-1)\/(-2). Suppose 0 = -5*m + g*s + 865, 4*m = -2*s - 192 + 862. Suppose w - m = 93. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 8*q - 3 = 0. Suppose -3*r = 4*p - p - 474, -q*p - 597 = -4*r. Suppose -r = -2*y - 35. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1076723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9294, 18383, 27268, 35949, 44426, 52699?\n\"Answer: -102*b**2 + 9395*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14778613?\nAnswer: 14778613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/13 and -2 - (-148)\/54*33\/22.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**2 + 31260*b - 784000 = 0. What is b?\nAnswer: -7840, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2, -4, 8 in decreasing order.\nAnswer: 8, 5, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 844827.8709 + -0.13.\nAnswer: 844827.7409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 87.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/50*10)\/(6\/(-20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22119631.\nAnswer: 59, 374909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*a**3 - 36*a**3 + 63*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.9 + 3.9. Which is the second smallest value? (a) 2\/7 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 697239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -157 - -31. Let n = 142 + h. Find the third derivative of 327*y**5 + n*y**2 - 7*y**2 - 323*y**5 + 18*y**2 wrt y.\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 15 = 3*p, -4*i + 0 = -p - 8. Let g(q) be the first derivative of 0*q**3 - 3\/4*q**4 + i + 0*q**2 + 2*q. Find the first derivative of g(l) wrt l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five halves of a millimeter?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 19*n + 38. Calculate the lowest common multiple of i(17) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 10:56 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095079941 to the power of 1\/2, to the nearest integer?\nAnswer: 45772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -5456675\nAnswer: -1\/5456675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 323 + 320 + 317 + 6*p + 11*p**3 - 966 - p**2 - 3*p**4 - 7*p to the form x + k*p + j*p**3 + o*p**4 + h*p**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -4*x + 269. Let b = -30 + x. Suppose 32*s - 44 = b*s. Is 20 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/1*544\/(-2)*(-59)\/236?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42398652 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -252348 * 0.8\nAnswer: -201878.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 192*g**3*n**4 + 15*g**3 - 14*n wrt n?\nAnswer: 2304*g**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -623789.6 to the nearest 10000.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2768 - -2767.95998. Let r = -0.04 - g. What is r rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 87328, 349257, 785788, 1396921, 2182656, 3142993, 4277932?\n\"Answer: 87301*r**2 + 26*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 5:03 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3469, 3673, 4015, 4495, 5113?\nAnswer: 5869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*sqrt(425)*-3 + -2 + sqrt(425) + 4 - (2*(sqrt(425) - (2 + sqrt(425))) - (sqrt(425) + 2 + -2 + sqrt(425)))))**2.\nAnswer: 900*sqrt(17) + 95661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 7*w - 8*w. Let q(d) = -d**w - d**2 + 7*d - 1 - 1 - 9*d. Calculate q(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 25*z**2 - 4*z + 4. What are the prime factors of m(6)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -126 + 126. Let u(z) be the third derivative of 1\/1512*z**8 - 1\/540*z**6 + t + 0*z + 0*z**7 + 0*z**4 + 0*z**5 + 0*z**3 + 4*z**2. Factor u(w).\nAnswer: 2*w**3*(w - 1)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1339\/9 (b) 0.5 (c) 1568\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2278 = -2*p, -3*p + 3396 = -6*i + 3*i. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119124751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130.8 + -20.8. Let m = 10 + x. Let b = m - 120.194. Round b to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/5 - (-2 + 3 - 1). Which is the third smallest value? (a) 4\/3 (b) i (c) -0.14 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3783*n. Let i(p) be the first derivative of -p**3\/3 - 3708. Determine i(o(w)).\nAnswer: -14311089*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4)\/n*n)\/n)**(-3\/32)\/(n**(-3\/11))**8 assuming n is positive.\nAnswer: n**(3237\/1408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 1285851.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 8, 1, -4, -0.0309, -31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.83 - 14.83. Suppose -d - 8 = -1. Which is the closest to d? (a) t (b) 2\/7 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*j + 2062, -4*j - 3*f + 704 + 2012 = 0. Let o = 708 - j. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 1 - 81*a**3 - 103*a**2 + 2*a**4 + 103*a**2 to the form i*a + u + p*a**4 + o*a**3 + c*a**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*h**3 + 3*h - 425 + 408*h**2 - 40*h**3 + 214 + 212 - 406*h**2 - h**4 to the form u*h + b + f*h**3 + j*h**2 + c*h**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.028082 rounded to one decimal place?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379447 is divided by 1135.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krkr when four letters picked without replacement from {k: 15, r: 3}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -635 divided by 5?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -18*w. Let x(a) be the third derivative of 0 - 1\/24*a**4 + 0*a - 50*a**2 + 0*a**3. Give t(x(b)).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16699*n**2 - 50703?\nAnswer: 33398*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-94)\/(-6) + 2 + -2. Let t = w - 16. Suppose 3*r + 3*r + 24 = 0. Which is the biggest value? (a) t (b) 3 (c) 0 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o - 22. Let v be o\/(1\/(2\/(-4))). Suppose -4*x + v*n + 24 = 0, 5*n - 6 + 24 = -2*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - i - 4 = 0, -53*i + 8 = 2*k - 55*i. Let y(g) = -7*g + 63. What is y(k)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 8:19 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/22? (a) 4\/9 (b) 2\/3 (c) 1 (d) 0.4 (e) 0.12 (f) 4\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -151d (base 16) in base 14?\nAnswer: -1d81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 = 3*a + 13, s - 3*a - 8 = 0. What is the second derivative of -2*c**2 - c**2 + 6*c - 8*c**3 + 3*c**s wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 646 - 1143. Let i = -266 - z. Suppose 3*w = -0*w + i. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10719 + 5825. Let d = -26584430189\/5429660 - -19\/271483. Let t = i - d. Calculate the common denominator of -61\/14 and t.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccpcxnxccnccnppp. What is prob of sequence xn?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34399 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 2. Let v be u(2). Suppose -5*t = 2*q - 761, -6*q = -5*q - t - 363. Suppose v*r = 48 + q. Calculate the greatest common factor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5247 divided by 4\nAnswer: -5247\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(176)*-1 + 4)**2.\nAnswer: -48*sqrt(11) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-4)\/(-4)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1374 = 88*u + 101*u + 5721 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 24 + -6 + 15 + -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4206864*c**4 + 34*c + 20112.\nAnswer: 50482368*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3\/7 + 1843*u**2 + 51616*u\/7 + 51620\/7 = 0.\nAnswer: -2, 12905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12011101010 (base 3) to base 6.\nAnswer: 2102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6678, -6690, -6706, -6726?\nAnswer: -6750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -23*s**3 + 12*s**2 - 99*s + 921. Let v be i(13). What is v rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 1:12 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25887907?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**5\/20 + v**4\/3 + 2*v**3\/3 + 3*v**2\/2 - 5545*v. Determine d(-4).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*n**3\/4 - 1018878*n**2 + 582207*n - 83172.\nAnswer: 3*(n - 27724)*(7*n - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y**2 - 3722*y + 7. Let r(m) = 31*m**2 + 14883*m - 27. Give -23*j(l) - 6*r(l).\nAnswer: -2*l**2 - 3692*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6087311 - -168\nAnswer: -6087143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) -425 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*w + 10 = 0, 176*z - 77*z + 3*w + 40 = 94*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 4:38 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6496c (base 16) to base 11.\nAnswer: 261607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/2 and -50\/10477.\nAnswer: 20954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*i + 12*i - 9*i - 172832*i**2 + 172846*i**2 in the form l*i**2 + c + v*i and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82042, 163905, 245768?\nAnswer: 327631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 573419583 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Suppose -3*a = o, 2*r - 5*a + 449 + 326 = 0. Let d be 221\/r - 2\/(-12). Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4918.5518 - -4918. Let v = x - -0.0128. What is v rounded to two decimal places?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6451686.\nAnswer: 2, 3, 358427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}