{"text":"Question: Calculate the remainder when 8 is divided by (-6)\/10 + (-231)\/(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 - 10. Suppose -5*n + f*n + 378 = 0. Is (5\/(-2))\/(7\/n) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0051625 nanograms to kilograms.\nAnswer: 0.0000000000000051625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4653782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f**3 + 0*f**3 - f**3)*(3715 - 3329 + 13065)*(3 + 1 - 1).\nAnswer: 80706*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*g + 20392 + 23218. What are the prime factors of g?\nAnswer: 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1260)\/(-2268))\/((-10)\/(-48)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 5437, 5435, 5423, 5395, 5345, 5267, 5155?\n\"Answer: -n**3 + n**2 + 2*n + 5435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -49 + 49.1. Let d(v) = -3*v + 1. Let z be d(-1). What is the nearest to k in z, -2\/11, -4\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*r + 4*u + 5, 5*u - 4*u - 11 = -13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 40853890 to the power of 1\/2, to the nearest integer?\nAnswer: 6392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2796 - -2860. Solve j = -13*f - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4815a (base 11) in base 16?\nAnswer: -10f16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*d - 5663 - 1177 = 0. Let j = 2 - -4. Suppose -3*f + 4*u = -219, -f - 5*u - d = -j*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/60 and 11\/62?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 16*w**3 + 4*w**2 + 2*w**2 - 13*w**3 + 6. Let r(q) = -6*q**3 - 13*q**2 - 13. Let i = -290 + 277. Calculate i*z(x) - 6*r(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - -2112313?\nAnswer: 2112322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2. Let k(x) = x**2 + 4. Let b(p) = -3*k(p) + 6*o(p). Let z(f) = 9*f. Calculate b(z(g)).\nAnswer: -243*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 118.474216 times -0.5?\nAnswer: -59.237108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 47358842719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, 0, -16, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1653 - 102216?\nAnswer: -104202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*(d*d*d*d**(-3))\/d*d*d**(-1)*d)\/((d*d*d*d*(d*d**(9\/4))\/d)\/d**5) assuming d is positive.\nAnswer: d**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37, -83, -131, -181, -233, -287?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 339.15+547113\nAnswer: 547452.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 0*k = -4*y + 2392, 2*k + 5*y = 1211. What are the prime factors of k?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1232212300311 - 12?\nAnswer: -1232212300323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*z**2 + 8*z - 8*z)*(-1 + 0 - 1) + (z + 2 - 2)*(-7*z + 2*z + 0*z).\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -27*b**3 + 2*b**2 + 2*b - 2. Let f be (-38)\/(-16) + (-978)\/2608. Let g(q) = 377*q**3 - 29*q**2 - 29*q + 29. What is f*g(o) + 29*c(o)?\nAnswer: -29*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*a**3 + a**3 + 4*a**3 + (-2*a**3 - a**3 - a**3)*(-1 + 0 + 0) in the form k*a**2 + x*a + b*a**3 + i and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 10*l - 11 = 0. What is the closest to 1 in -0.03, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from dvhnhdhndhdnd?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of 33*f**8\/56 + f**6\/40 + 757*f**5\/60 - 133*f**2. What is the third derivative of s(l) wrt l?\nAnswer: 11880*l**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1062*r - 998*r + 2055*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 1 = 14. Suppose 7*u = 4*u + 36. What is the remainder when u is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40)\/(sqrt(88)\/(sqrt(11)*-2)) - sqrt(2940)\/sqrt(3))*6.\nAnswer: -96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.9*-0.67.\nAnswer: -0.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -342 (base 12) to base 15.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ixxxxixxiixxxxxxxi.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 428773846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 716.8?  (a) -1  (b) -2  (c) 0.2  (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -520*m - 176*m + 17571216 = 0. What is the greatest common divisor of m and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4 - 90\/(-81)) + (-4)\/(-6). Do s and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4122026789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -4*s - 2*s. Let l(d) = 36*d**3 - 3*d**2 - 1. Let q be l(3). Suppose 0 = -s*w + q + 506. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -d - 4a84?\nAnswer: -4a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 3*q**3 + 78*q**2 + 6*q + 179. Determine b(-26).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 731 + -734. Put 315, -1, k, 3 in decreasing order.\nAnswer: 315, 3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + 7. Find the third derivative of -2*g**6 + 9*g**2 + 4*g**6 - 13*g**i wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 7 + -7 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 481\/11 + 82020\/(-30074).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 279*o - 254. Calculate r(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 1 + 2*h - 5*h + 8*h**2 + 0*h + h. Suppose -3*x + 6 = -9. Suppose -5*v + x*f - 10 - 10 = 0, -2*f = -4*v - 6. What is a(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 4*g + 0*g - 218 = 0, -g + 436 = 2*r. Let q = r - 114. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 2 = 0, -18*f + 5 = -17*f - 3*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k + 14*k - 75 = 0. Suppose g = -2*g - k, -5*g = -a + 272. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22, 25, 28, 31, 34, 37?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -42*d**2 - 14*d**2 + 8*d**2 - d + d + d**2 + (0*d + 2*d + 0*d)*(-2*d + 2*d - d).\nAnswer: -49*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 69*t - 96. Let r be m(6). Calculate the greatest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 33, 2 in descending order.\nAnswer: 33, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 3*z = -19, -6174*z = -6171*z + 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -8935, -8949, -8961, -8971, -8979, -8985, -8989?\n\"Answer: f**2 - 17*f - 8919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -644254, -1288526, -1932798, -2577070?\n\"Answer: -644272*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-381)\/(-18) + (10 - 7) and 81\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -21*t**2. Let v(b) be the second derivative of 24*b**3 + 1744*b + 3. What is v(m(h))?\nAnswer: -3024*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o + 3*o - 2*o + (-3 + 4 + 2)*(-6*o - 2*o + o) - 2*o - 2*o + 6*o)*(-2 - 4*o + 2*o + 3*o).\nAnswer: -17*o**2 + 34*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x + 9. Let t be s(15). Let j(i) be the first derivative of i**4\/4 + 5*i**3\/3 - 5*i**2\/2 + i - 1. Calculate j(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 385*j**2 - 12*j**3 - 385*j**2.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.63 - 0.23. Let m = 3.6 + o. Put 3, -3, m in ascending order.\nAnswer: -3, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -20 and 3.6?\nAnswer: 23.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 3052*p - 167938. What is y(55)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4134 = 13*m - 4964 - 9011. Calculate the greatest common factor of 1592 and m.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, -4, -19, -52, -109, -196, -319?\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 121\/252 - 1\/28. Which is the second smallest value?  (a) -5  (b) 18\/5  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35, 3, 7\/3, 1\/26, 5 in descending order.\nAnswer: 5, 3, 7\/3, 1\/26, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 AM and 11:50 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2 - 28*r - 123. Suppose -3*c = 5*l - 181, -l - 1 = -5*c + 2. What is i(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 35 - -381 - (0 - 7). Let g = -59 + k. Does 91 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -3*y + 2*v, -y - v + 2*v + 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 2*l = 3451 + 6793, -l = 3*p - 7693. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60136 = 14*a + 59212. Calculate the lowest common multiple of a and 1034.\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o - 5. Let l be q(-6). Let n be (10 - (4 + 13))*9\/(-273)*-1. Are n and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -37317.9737 - -37318. What is the third biggest value in j, 0.3, 0.2, -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -5*f - 135, -5*p + 3*f - 119 = -0*f. Let t = p - -77\/3. Let q(x) = 3*x - 15. Let d be q(6). Which is the closest to -0.2?  (a) d  (b) t  (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 46 - 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -325702 less than -1.05535?\nAnswer: 325700.94465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -538710669 take away 0.029?\nAnswer: -538710669.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 + (-36676)\/(-16) + (-2)\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 57398 and 4312?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-4)\/(-54))\/((-4)\/1008*3). Let r = f - -58\/9. Which is the third biggest value?  (a) -5  (b) -1\/3  (c) -3  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**3\/5 - 34*u**2\/5 + 2*u + 48\/5.\nAnswer: 2*(u - 8)*(u + 1)*(2*u - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -b61081 (base 13) in base 12?\nAnswer: -1514083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**3 + 25*f**2 + 26*f. Let h be t(26). Suppose h = 5*q + 20 - 75. Suppose 3*b - 16 = 4*a, q*b + 12 = 13*b - 3*a. Solve -z = -b + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -82 + 202. Suppose 40 + 55 = 5*f + d, 0 = 5*f - 4*d - a. List the prime factors of ((-188)\/f)\/((-1)\/5).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -43*z**2. Let a(q) = 22*q**2. Determine 5*a(p) + 3*l(p).\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2\/31, -25, -2\/23, -332, -2, 18?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 2, k: 7, p: 5, v: 4}. Give prob of sequence vpvv.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < -1\/200955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1794271 + 0.179. What is q rounded to five dps?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -304*b = -242*b - 316 - 428 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -10552 divided by 2638\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1966431?\nAnswer: 3, 23, 28499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + -3774?\nAnswer: -3769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - -7. Let p = -138 + 134. Which is the nearest to z?  (a) -1  (b) p  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 79*j**3 - 4*j**2*o + 2*j*o**2 + j*o - 2*o**2 - 173*o + 1 with respect to j.\nAnswer: 237*j**2 - 8*j*o + 2*o**2 + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.858 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 99\/19550 and 89\/215050.\nAnswer: 215050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - i + 503640 = 0, -4*i - 801063 = -3*y + 709850. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8685166 is divided by 2895011.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5561304 or 5561302?\nAnswer: 5561304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 3*i = -37, 5*b - i = 5 - 117. Let z = -7 - -13. Calculate the remainder when 1\/2*(-1 - b) is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -3*l**2 + 3*l + 5. Let g(h) = -4*h**2 + h + 2*h + 2*h**2 + 4 - h. Let c(k) = 5*g(k) - 4*q(k). Determine p, given that c(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 359334, 359384, 359470, 359592, 359750?\n\"Answer: 18*d**2 - 4*d + 359320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 + 2)\/(3\/(-570)). Round t to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, o: 7, t: 7, u: 2}. What is prob of picking 1 o, 2 t, and 1 u?\nAnswer: 49\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (6 - (-7 + 2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-16 - -9) + (4 + -1 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*d + 12 = 0. Suppose 3*m + 4*s = -13 + 2, m + 7 = -d*s. Let n be ((2 - 2) + -4)*m. What is the greatest common factor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x + 5. Let o be k(3). Suppose -5*h - 15 = -5*z, -3*z + 4*h + o = -z. Solve -2*w + z*d + 12 = 0, -2*w + 27 = -4*d + 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5025)\/(-420) + (-12)\/(-2 - -3)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 34461 and 1295.\nAnswer: 6375285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.04 - -0.06. Let b = 20 - 19.8. Let y = o + b. What is the third smallest value in -1, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 199*p**3 - 2*p**4 + 288*p**3 - 20*p**3 + p**4 - 52*p - 18*p + 3 wrt p.\nAnswer: -12*p**2 + 2802*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r - 12514*r**3 - 51 + 102 - 51. Is v(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/554, 3, -0.5?\nAnswer: 1\/554","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 671.4354 rounded to one decimal place?\nAnswer: 671.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -3*r + 35, 2*n + 13 - 3 = 0. Suppose r*h + 4*h = 0. Suppose -3*k + t + 4*t + 972 = h, 0 = 5*t - 15. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*z + 1 + 0*z - 13*z as m*z + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 4 + 110 + -109?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -40 - -8. Let t = 96 + h. What is the remainder when t is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/(1*(0 + -1)). Let q(r) = -11*r + 19*r**2 - 14*r**2 + 6 - r**3 + 9*r. Give q(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-3)*(-270)\/(-315) - 750\/(-35)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u*u**(-10)*u*u*u**(-2\/5))\/((u**22\/u)\/u*u**(-17)) assuming u is positive.\nAnswer: u**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 648?  (a) -7\/4  (b) 3  (c) 1\/6  (d) 0.4  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 93 - 93. Suppose o = 2*u - 6*u + 80. Let y(i) = 3*i**2 + 4*i + 2. Calculate the remainder when y(5) is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 2 q when four letters picked without replacement from laaaaqqaaa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24)\/28 + (-15060)\/(-29869).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1921?  (a) -0.7  (b) 1\/3  (c) 614\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1.3, 314, 0.32, 2.4, -3\/5, 4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -1701.\nAnswer: 4\/1701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*h**2 - h**2 + 2*h**2)*(-654 + 1264 + 793 + 1322) to the form g*h**2 + w + l*h and give g.\nAnswer: 2725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 116917 is divided by 774?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 AM and 9:46 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 + 7*c**2 + 7*c + 2. Let g be d(-6). Let a = g + 6. Let r(l) = -2 + a*l + 4*l - 4*l. Give r(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 2*s = -450, 3*a - 4*s = -248 - 22. Round a to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2140*-247710\nAnswer: 530099400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 0 + 2 - 34*u to the form j + n*u and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (-4 + (1 - 6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14112776.798 - 13985181. Let l = t - 127730. Let o = l - -134. Round o to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4490?  (a) 0.03  (b) 3\/7  (c) -5  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of 1\/20*z**5 + z**2 + 0*z + 1\/12*z**4 - 1\/6*z**3 + 1\/90*z**6 + 0. Let k(x) be the first derivative of o(x). Factor k(q).\nAnswer: 2*(q + 1)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 286205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -3*a**2. Let t be 5*(2 + 28\/(-15)). Let c(p) be the first derivative of t*p**3 + 2 + 0*p + 0*p**2. What is c(z(d))?\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssssffjjffs. What is prob of sequence jfss?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 90383 is divided by 2209?\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 49 + -95. Let g = n + 51. Suppose 2*o + k + 3*k + 10 = 0, -2*k = 10. Calculate the highest common divisor of g and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m + 1. Let k be n(-2). Let t = k + 7. Suppose 2*a = f, -f + 25 = t*a - 3*a. 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 be (-884)\/(-156) + 10\/(-6). Let t be 119\/35 + d\/(-10) + 0. Solve f + t*f = 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*(r*r**(-3\/5))\/r)\/(r**(-3)\/r*r))\/(r**(-1)*r)**(2\/45))\/((r*r*r*(r\/(r**(-1)\/r))\/r*r*r*r)**(-35)*(r\/(r*r**1))**(-2\/77)) assuming r is positive.\nAnswer: r**(109099\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*y - 77*y + 500 = 0. Let z = y - 138. Sort 1, z, 0, -2.\nAnswer: z, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -0*o - 4*o. Let b(d) = -d + 7. Let s be b(o). What is the highest common factor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1602743456 to the nearest integer?\nAnswer: 40034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 16 (base 15) to base 7\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17036854 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1596 and 380?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 2*f - 8. Let z(v) = v - 2. Let w(u) = -u + 3. Let g(p) = -3*p**3. Let h be g(1). Let n(c) = h*w(c) - 2*z(c). Determine -5*l(k) + 8*n(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, -2, -7, 11.\nAnswer: -7, -2, 11, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/5 + 54\/15. Let k be 3\/(1 - 22\/h). Sort -1\/3, 4\/3, k in descending order.\nAnswer: 4\/3, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 702870 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8604693 is divided by 573646?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 304 from -26554.7477.\nAnswer: -26858.7477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*d + 15*d - 6488 = -2*z, -6516 = -4*d + 5*z. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4121 = 15*s - 4376 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*v**2 + 11*v**2 - 27*v + 14*v + 13*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 + 8. Let n = -2 - 2. Is c not equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4968181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 83 and 2241.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 0*v**2 + 5 - 1 - v - 4*v**2 + 3*v**2. Let t be s(-5). Let n = 19 + t. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the first derivative of -m**4\/4 + 7*m**3\/3 - 3*m**2\/2 + 5*m - 1. Calculate the remainder when h(4) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-85)\/(-20) - 2\/8. Suppose -v*j = -j - 51. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of 32*g**3 - 5*g**2\/2 + 19*g + 52. Is p(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3082106?\nAnswer: 2, 79, 19507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -2*j + j. What is the smallest common multiple of j and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from {s: 13, p: 1, g: 2, w: 3, o: 1}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -7*d**3 + 5*d**2 - 5*d + 6. Let t(o) = -7*o**3 + 6*o**2 - 6*o + 7. Determine -6*k(c) + 5*t(c).\nAnswer: 7*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -4*y + 2. Let v(k) = -66*k**2. What is v(c(n))?\nAnswer: -1056*n**2 + 1056*n - 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -155135195*a**3 - 149199978*a**2 - 2?\nAnswer: -930811170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:07 PM and 10:23 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + -11101110?\nAnswer: -11101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*c + 28*c - 12 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 4 = 4*b + i, -2*i = 5*b - 7. Suppose b*f + 2*x - 252 = -x, 5*x = 5*f - 440. List the prime factors of f.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**4\/7 + 46*s**3\/7 + 12*s**2 = 0 for s.\nAnswer: -21, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/(-36) - 2\/(1716\/(-548) + 3). Solve -5*z + 4*q - 5 = -30, 3*z - x = 5*q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3272*u**2 + 102*u + 18750*u**2 - 25*u.\nAnswer: 15478*u**2 + 77*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 - 10*a**2 + 41*a + 21. Let q be c(-13). Let b(u) be the second derivative of -u**5\/20 - u**4\/3 + 2*u**3\/3 + 7*u**2\/2 - 3*u. Calculate b(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-105)\/20*96\/(-18) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 - 30 = -5*t. Let n = 885 - 1727\/2. What is the common denominator of n and (6\/t)\/((-8)\/370)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/10  (b) -18  (c) -0.5  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14 * -297627.35.\nAnswer: -4166782.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4\/47 - -106\/141. Let q = 0.5 + 2.9. Let r = q + -0.4. Which is smaller: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h + 3. Let p(f) = -2*f + 10. Let w(u) = -10*a(u) + 3*p(u). Let y(o) be the second derivative of 5*o**4\/12 - 35*o. What is y(w(n))?\nAnswer: 80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -628970, -1258131, -1887294, -2516459, -3145626, -3774795, -4403966?\n\"Answer: -b**2 - 629158*b + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 757357 is divided by 658.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 1 = j + 5*z, 0 = 5*z + 25. Let t = 0 - -6. Let v = j + t. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 - 23 = 3*r. Suppose 3*c + 44 + 25 = 0. Let t be 2 - 2 - -1 - c. Calculate the greatest common factor of r and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110 >= 174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -469 - -785. Let l = -317 + d. Which is smaller: 282 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 68*f - 6. Let n be i(18). Suppose c + 2*b + n = 3*c, -606 = -c - 2*b. Let g = -55 + c. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -349.8 - -349.8. Let z(v) = -v - 5. Let f be z(-8). Suppose -f*j - 4 = 2. Which is the nearest to -2?  (a) j  (b) q  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - -510124?\nAnswer: 510123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 + 58 = 2*b. Let z = 59 - b. Calculate the remainder when 45 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-7)\/4 + 1)\/(66\/(-616)). Suppose 5*x - 3 = 12. Let d(p) = x*p - p + p. Let u(a) = 2*a. Determine l*u(c) - 5*d(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 0 - 2 - 2*q)*(0*q - 3*q + 5*q)*(170 + 159 - 278) as f*q**2 + t*q + y and give t.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -706.\nAnswer: 1\/706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -0.04  (b) 0.5  (c) -2\/9  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4466 and 27434?\nAnswer: 192038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 58*d + 8933. What is the units digit of g(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6942 divided by -2314\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b. Let w(u) = -u. Let r(z) = 2*j(z) - w(z). Is 3 a factor of r(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 + 37*s - 268. Let w be d(27). Let y(p) = 260*p**2 - p - 4. What is the tens digit of y(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*m + m - 3*q - 21, -5*q = 5*m + 30 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1*3\/21 + 11214720\/693. Round q to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1)\/(-2))\/(36\/(-9448)). Let q = -131 - b. What is the second biggest value in -1\/4, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 898248613.\nAnswer: 1823, 492731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -2*k - 38, 0 = -3*y + y + k - 8. Let r be 16\/y + (-4)\/3. Let g = 0.231 + 3.769. Which is the closest to -7?  (a) g  (b) 0  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -180 = 4*x + x. Let p be 2\/8 + 372\/(-16). Let w = p - x. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2\/7 + 11*y\/7 + 10\/7.\nAnswer: (y + 1)*(y + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/5, 1.56, -0.3, 4, -24, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5712625.\nAnswer: 5, 23, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 31010 and 12334?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*a - 5*r = -15, -8*a + 2*a + 6 = 2*r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(4\/7))\/z)**(-14)*(z**4)**(32\/7))**(-17) assuming z is positive.\nAnswer: z**(-1224\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 4*b + 2645 + 2123, -4*b = -5*t - 23768. Let f = 47629\/10 + t. What is the common denominator of f and 85\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -s + 27 + 3*s - 3*s**2 - s**2 + s**2 - 21 in the form c*s**2 + w*s + i and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -78504.29 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -5*q + 4*p - p, q + 2*p - 5 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 + 5 + -8 + (3 + 0 - 4). Let i = -69\/100 - 3\/50. Which is the closest to i?  (a) 3\/8  (b) d  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -170232\/7 + 9533075\/392. Find the common denominator of -41\/4 and r.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, k: 1, a: 1, w: 1, y: 1}. Give prob of picking 1 y and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 4*n**2. Let y be h(1). Let g be 1\/y + (-3)\/(-4). Which is smaller: 2\/19 or g?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.2004 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 6}. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 5*y - y. Let f(k) = -k**3 + 7*k**2 + 7*k + 10. Let x be f(y). Find the third derivative of -w**2 - 3*w**x - 4*w**6 + 6*w**6 + w**2 wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + f - 3)*(-2*f - 3*f + 4*f)*(f**3 + 12*f**3 + f**3).\nAnswer: -14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 93, 89, 81, 69, 53?\n\"Answer: -2*r**2 + 2*r + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -297\/5*v**2 - 107811\/5 + 9801\/5*v + 3\/5*v**3.\nAnswer: 3*(v - 33)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 124 - 4. Let a = c + -109. What is the highest common factor of 88 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 2*w - 13. Suppose 0 = -4*l + 3*o + w, -3*o = -5*l + o + 15. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 16 = -2*h, 4*y + 11 = -5*h + 41. Suppose y*p - 31 = 34. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 3*g**2. Let s(x) = -6*x**2 - x. Let l(k) = 2*s(k) + u(k). Let r(j) = -5*j**2 - j. Suppose 2*y = 5 + 1, 5*b = 4*y + 8. Calculate b*l(q) - 7*r(q).\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/89 or 0?\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 381420, 381447, 381474?\n\"Answer: 27*u + 381393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - 11. Suppose -2*m = -10, 2*v - 11*m + 20 = -9*m. Let o be (d + 0)\/v - 16. Sort 1, 0, -5, o in ascending order.\nAnswer: o, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {q: 2, o: 3, z: 5, a: 3, u: 3, t: 3}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = -2*d + 32, -2030*i + 2027*i + 4*d = 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.91 + 0.35. Let t = 0 - y. Let k = -0.06 + t. Sort -2, k, 0.4 in descending order.\nAnswer: k, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 112\/10464*(-2073889)\/14. Let u = -55\/1308 - k. Let m = u - 1616. Find the common denominator of m and -54\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 5*a = -2913, 5*h - 3325 = -4*a + 11153. Calculate the smallest common multiple of h and 18.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -4*o + 5*o. Suppose -4*i + 52 = -4*p, 0*p - i - 37 = o*p. Let r be p\/(-4) - 5\/10. Solve -j + 6 = -r*a - 5*j, -3*a = j - 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 140549 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 - 37*j - 276. Calculate the remainder when 188 is divided by i(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from wewwwbweb.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 356*t - 61*t - 5037 = 863 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13027866 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 581.6074 litres?\nAnswer: 581607.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 2*r - 4, h + 3*r = 6 - 0. Suppose h = s - 5*s + 96. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5.125 - -5.124986457. What is g rounded to 7 decimal places?\nAnswer: -0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -97867000 rounded to the nearest one hundred thousand?\nAnswer: -97900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 123 - 115. What is the greatest common factor of 52 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51407.\nAnswer: 51407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 u when three letters picked without replacement from uuuuxexxuxyyy.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - 16907756?\nAnswer: -16907756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of 1\/6*s**4 + 0 - 1\/6*s**3 + 3*s**2 + 0*s + 1\/60*s**5. Let j(v) = -1817*v - 12723. Let h be j(-7). Give n(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 348\/7 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 550*d - 535*d = 75 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vw when two letters picked without replacement from wvw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j + 21*j = 864. Do -0.1 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v. Let o(u) = u**2 + u - 1. Let l(b) = b**2 + 6*b - 10. Let g(y) = l(y) - 6*o(y). Let m(t) be the first derivative of g(t). Determine m(i(j)).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 2*l = -20, -l = -5*x + 15. Let a be 1030399977\/46 + 1\/(1*x). Round a to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 680 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/2891 or -38390?\nAnswer: -38390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 4641 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - i = 6, -2*z + 4*i - 1 = -5. Solve 0 = z*u - 2 - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3053238119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10.88 + 11. Let y = c + 0.08. Let t = -10 - -7. Sort 2\/7, y, t.\nAnswer: t, y, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*v = -27*v - 16*v + 13*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2069, -2077, -2099, -2141, -2209, -2309, -2447?\nAnswer: -2629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 461036 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -65, -39, 25, 145, 339, 625, 1021, 1545?\n\"Answer: 3*y**3 + y**2 + 2*y - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.5128 + -1.831. Let r = n - -0.346. Round r to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 39.59094 times -5\nAnswer: -197.9547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -205*h + 21. What is z(1)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kvv when three letters picked without replacement from vjkkjkkvkkkvkkvk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 44\/(-12))\/(11900\/(-514080))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/10 and (12\/(-176))\/((-9)\/282)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(19) + (sqrt(19) + 1)*2.\nAnswer: -3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/((-1 - 0) + 2). Suppose p + 4*b = -b + 18, 3*p - y*b = -3. Let f be (38\/6 + -3)\/(28\/42). Solve 32 = f*q - 3*h, -p*q = -2*h - 2*h - 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50.55541 milligrams in nanograms?\nAnswer: 50555410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11942 is divided by 208.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 2 c when three letters picked without replacement from cwcwcccwccw?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 + (-28)\/(-56)*(1 - 1). Suppose -5*v + a - 4 = -2, -8 = -4*a. Determine y so that 10*y - 138 + v*y - y**2 + 144 - b*y**2 = 0.\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(168)\/(sqrt(40)\/sqrt(5)))\/sqrt(3) - (sqrt(567)*-3 + 2).\nAnswer: -2 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes after 5:05 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the second derivative of x**4\/8 - 9*x**2 - 7*x. Let m(j) be the first derivative of s(j). Let b(w) = 9*w**2. Give b(m(c)).\nAnswer: 81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/5, 1, 0.5, 69 in decreasing order.\nAnswer: 69, 1, 0.5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) -5  (b) 0.4  (c) -1.7  (d) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*z = 24*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 2*sqrt(272).\nAnswer: 1 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 14*o**4 - 38*o**2 + 2859*o + 4285107?\nAnswer: 56*o**3 - 76*o + 2859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0*(15\/(-6))\/(-5). Suppose -3*x + 2*h = -69, h + 2 + 1 = d. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 517.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 34*s**2 - 73*s - 14. Is f(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 852545177 to the power of 1\/2, to the nearest integer?\nAnswer: 29198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1590*a - 334*a - 34632 = 0 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 - -14. Let z = g - 10.0001. What is z rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z + 14. What is the remainder when 160 is divided by s(9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.7928506 millimeters?\nAnswer: 0.0000007928506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (314 - 995 - 1878 - 517 - 223)*(o**3 - o + o).\nAnswer: -3299*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 - -1 - -23402 - (-29 + 12 + 18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1101100111011110100 (base 2) to base 16\nAnswer: 6cef4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + 1 - 3 - 7. Let o be (-2)\/(-4) + 10\/(-4). Let p = o - m. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -77*s**3 + 3*s**2 + 5*s + 9. Let z be c(-2). Suppose -47 = -o + z. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -738, -717, -682, -633, -570?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + -fc?\nAnswer: -f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 205\/(-65) - -1 - (20\/(-26))\/5. Let a(t) = -14*t**2 - 3*t + 4. Determine a(m).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9*27\/2592)\/(-1).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Sort 0.07, -0.3, 9, 3, 1.\nAnswer: -0.3, 0.07, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 31*v - 58*v + 27. Which is the nearest to v?  (a) -24  (b) -0.1  (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 17453*j**3 - 342*j**2 + 8?\nAnswer: 104718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18372 is divided by 3061.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*p + 4*p - 18*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 0.3, -2, 0.5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 3*a + 6490 = 0, 0 = 5*w + 4*a - 7854 + 1369. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.02 and -142?\nAnswer: 141.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 2*f + 21. Let h be x(6). Let w = h - 8. Is 25 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28 + 13*z + 28 + 10*z - 19*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 1\/2  (c) -1  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 4, a: 2, f: 2, o: 2}. Give prob of sequence oaf.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -3*b**2 - 2*b + 2. Let n(a) = 691*a + 10. Let j be n(-1). Let k = -684 - j. What is t(k)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (-3 - -11 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 2 - 1)*(q + q + 2*q)*(4 - 4 - q) + (-2*q - q + q)*(-241*q + 21343 - 21343).\nAnswer: 474*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-10)\/(-4)*(-3 - (-32)\/10). Which is the second smallest value?  (a) k  (b) 0.01  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1 - -0.3. Let q = -8\/177 + 634\/6195. Let z = q + 31\/70. What is the nearest to 1 in l, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 38 + -25. Suppose 17*g = d*g + 20. Suppose -g*y + 21347 = -3003. Round y to the nearest one hundred.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7)\/(-5)*-1 + 1. Let k = -2113 + 2087. Let p be (32\/20)\/(k\/(-65)). Which is the closest to p?  (a) -3  (b) -1  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 51.246 - 33.267. Let z = r + -18. Is z at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:18 AM and 6:23 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1918 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.4 - 4.73. Let n = i + 0.13. Let b = -0.05 - 1.95. Sort n, b, 1\/5.\nAnswer: b, n, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17048 less than 5.1?\nAnswer: 17053.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 19669, 19659, 19643, 19621, 19593, 19559, 19519?\n\"Answer: -3*v**2 - v + 19673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/(-15)*(2 + 3). Let v = 2 - k. Let g(i) = -2*i + 8*i - 1 - 25*i**3 + 24*i**3 + 3*i**2. Determine g(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.5, 1\/3, -7\/4, 5, -10\/9?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -276 + 281. Calculate the greatest common factor of 40 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17356109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10872 and 4500?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 4*a**2 + 4. Let w(p) = 17*p. What is y(w(v))?\nAnswer: 1156*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 7170241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -1092996\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 24\/10*(10*1)\/((-1372)\/343)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the first derivative of 3*g**3 + g**2\/2 + g - 9. What is v(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of k**5 - 215*k + k**2 - 489*k**4 + 244*k**4 + 236*k**4 wrt k?\nAnswer: 60*k**2 - 216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(12\/11)*v**(-3))\/(v**(4\/3)*v*v\/(v\/(v*v**(-14)*v)*v)) assuming v is positive.\nAnswer: v**(289\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -40 + 60. Let f be 5 + (-45)\/3 - (-12 + -166 + 18). What is the greatest common factor of o and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68856.83ml in litres?\nAnswer: 68.85683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 138502?\nAnswer: 2, 7, 13, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 - 7. Let g = -200 + 207. What is the remainder when p(g) is divided by 0\/(-1) + (-2 - -17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -81 + 86. Let n(g) = g**2 - 6*g + 4. Let s be n(f). Which is greater: -0.09 or s?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/3*(13 + 2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -390 + 5?\nAnswer: -38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.005852 to five dps.\nAnswer: -0.00585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.004277 - -0.0044. What is m rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1909307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/3*(-189)\/(-315). What is the closest to 0.3 in 1\/4, 0, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2\/7 + 92*n\/7 - 1058\/7.\nAnswer: -2*(n - 23)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*q + 2*q + 3*q + (-2 + 6 - 5)*(-3*q + 4*q - 3*q) + 5*q - 3*q - q - 81*q + 907 - 907 to y + s*q and give s.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-47)\/3102*-374*3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 144*z**4 - 200*z**4 - 274*z**4 + (2*z**2 - 2*z**2 - 2*z**4)*(-4 + 2 + 1).\nAnswer: -328*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 38 = 42. Let g = c + 23. What is the derivative of g*t**3 - 2*t**3 + 2 + 0 wrt t?\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u + 77 = 203. Let -19*y - 15*y**3 - u*y + 46*y + 25*y**2 + 5*y**5 - 19*y - 5*y**4 = 0. What is y?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -339, -1343, -3007, -5325, -8291, -11899?\n\"Answer: r**3 - 336*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 87, 179, 273, 369, 467?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.04 in 0.3, -31, -30, -10, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 218480.3 - -98?\nAnswer: 218578.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1622943712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from vvllfititfqlvt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -4*w**2 + 97*w + 30. Let l(y) = -y**2 - 28*y - 182. Let r be l(-14). Is h(r) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - 14*y**2 + 12*y + 16. Let q be u(13). Suppose 2*s - d = s + 23, 5*s - q*d = 111. Calculate the remainder when s is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 372a53a (base 12) to base 13\nAnswer: 22c9360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3501, 3204, 2907?\n\"Answer: -297*l + 3798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3605 + -3596.107. Let g = r - -0.107. Let z be (2 - 2\/4) + 4\/8. Which is the closest to z?  (a) 1\/3  (b) 5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 + 1 + 2 + 14 + -15. Let o = 92.142 + 2.908. Let a = -95 + o. What is the closest to -2\/3 in -4\/5, a, m?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -11*m**2 - 18*m - 7. Let h(r) = -6*r**2 - 9*r - 3. Let j(g) = 2*g**3 + 3*g**2 + g + 1. Let a be j(-2). Let y(k) = a*h(k) + 3*s(k). Factor y(f).\nAnswer: -3*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 f, and 2 o when four letters picked without replacement from oikffofitoioi?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 56 = 3*c, 3*c - 5*c - x = -42. Solve -s = 4*s - c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -29340755*d**3 + 22043*d**2 - 2*d - 4.\nAnswer: -176044530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 148066 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -646*h**3 - 987 wrt h.\nAnswer: -1938*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.05 - 0.15. Let o = 4.4 - 4. Let y = o - x. Put -6\/7, y, -5 in decreasing order.\nAnswer: y, -6\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = -22 - 8. Let q(p) = -7*p**2. Let a(z) = 6*z**2. Determine l*a(o) - 4*q(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -380, -349, -300, -233, -148, -45?\n\"Answer: 9*l**2 + 4*l - 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 10208 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -904, -1653, -2404, -3157, -3912, -4669?\n\"Answer: -y**2 - 746*y - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 5 - 15) + 12 + -1 + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 71\/1 + (-8 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (67\/67)\/((-2)\/(-6)*1). Suppose -3*k - 121107818 - 21392172 = 5*r, -142500006 = 3*k - q*r. Round k to the nearest one million.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -120*z - 6*z - 91*z + 50*z - 351 - 67*z.\nAnswer: -234*z - 351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*z**3 - 3*z**3 + 39*z**3.\nAnswer: 22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 plus -0.06868221?\nAnswer: 4.93131779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 407 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*x = -79*x + 322638. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 18\/(-45) - 8\/(-15). Let f = -10 + 6. Put 3\/4, f, v in descending order.\nAnswer: 3\/4, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -243, -311, -391, -489, -611, -763, -951, -1181?\n\"Answer: -w**3 - 61*w - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -425*l - 845. Let h be w(-2). Calculate the highest common factor of 174 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 17595.7  (b) 33  (c) -1\/3  (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 13241.4 and -3.\nAnswer: -39724.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -100924551, -100924562, -100924595, -100924662, -100924775?\n\"Answer: -2*f**3 + f**2 - 100924550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 138 - 111.9. Let j = 25 - m. Let x = j - -0.78. What is x rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 h when three letters picked without replacement from vehehhehvhvevjhhhvhh.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (47\/141)\/(2\/3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -351.\nAnswer: -1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 16  (b) 2  (c) 0.699\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 155*(-9)\/(-270) + (-10)\/15.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 + 2*y**2 + 2*y - 2. Suppose -t + 76 = -z, 10 - 2 = 2*z. Let i be t\/35 - 2\/7. Let w be o(i). Solve -3*r - w*r = -20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 23333726, 23333725, 23333724?\n\"Answer: -o + 23333727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20146.\nAnswer: 2, 7, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q - 10. Let a(v) be the second derivative of 2*v**3\/3 - v**2 + 2*v - 40. Let f be a(3). Give j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(((-306)\/24)\/(-17))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)*1)\/sqrt(3) + 1.\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-14))\/((-15704)\/(-392) - 40)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 AM and 2:47 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-96735)\/(-20))\/(3*(-8)\/(-32)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -k**5\/2 - 77*k**4 - 5895*k**3\/2 - 18157*k**2 - 39682*k - 29100 = 0?\nAnswer: -97, -50, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 - 8*z + 7. Let s be f(8). Suppose -5*w + 18 = -3*p, -4*p + s = 4*w + p. Suppose w*v + 5*b = -0*v + 21, 2*v + 2*b = 10. Which is smaller: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 77149303 and 17972?\nAnswer: 308597212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*h**2 + 66 - 14*h**2 - 160*h + 300*h + 150 + 208*h.\nAnswer: -4*(h - 18)*(5*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 306 and 17544.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(77))\/sqrt(11) - 6*sqrt(28)) + -2.\nAnswer: -10*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*t**4 + 14251424*t**3*y + 579184*y + 16 wrt t?\nAnswer: -8*t**3 + 42754272*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -6*a**3 - 9*a**2 - 5*a + 1. Let z(i) = 3*i**3 + 6*i. Let x(j) = -9*j**3 - j**2 - 17*j. Let q(u) = -4*x(u) - 11*z(u). What is 2*d(t) + 5*q(t)?\nAnswer: 3*t**3 + 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -626*h**2\/7 + 809*h\/7 - 183\/7.\nAnswer: -(h - 1)*(626*h - 183)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 3*n + 7 + 3 = 0, 5*k - 46 = 3*n. Let v = 14 - k. Solve 0 = -3*t - v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -972 - 1218. Let w = 3954 + n. Suppose -444 = -3*u - w. What is u rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + (-1 + 3)\/(6\/15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nzin when four letters picked without replacement from inninzznn?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 4 + sqrt(245) + -4*sqrt(180)*-1 + -2)**2.\nAnswer: 372*sqrt(5) + 4841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -69*m**3 - 2*m**2 - 60*m - 1881. Let t(y) = 134*y**3 + 4*y**2 + 121*y + 3774. Let v(f) = -3*t(f) - 5*x(f). What is the derivative of v(j) wrt j?\nAnswer: -171*j**2 - 4*j - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 219928 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + -506684585?\nAnswer: -506684587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 3*w**2 + 3537*w + 41994. Give v(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 7:33 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 25 = 4*d - 2, -11 = 3*d + 4*v. Suppose b - 262 = -0*m - 2*m, d*b - 772 = m. Suppose -b = o - 4*o. What is the remainder when o is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1844631 less than 1844596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9 + 5 - 8)*(-28*p + 18 - 18) - 2*p - 3*p + 0*p + 1 to the form f*p + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.248 - 3.854. Let w = z + 0.006. Let l = w - -3.1. Which is the nearest to 0.09?  (a) -1  (b) 0.1  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 5:02 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85) + sqrt(85) + (2*sqrt(85)*-1 - sqrt(85)))\/(sqrt(5) - sqrt(50)\/(sqrt(10) + sqrt(20)\/sqrt(2))))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 65817698 to the power of 1\/3, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -26 + 1359 + 9\/(-3) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 + 91 + 3*(-28)\/12. Solve 11*q = 28*q - b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 266822742 and 2?\nAnswer: 266822742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:12 PM and 10:36 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 231535656029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -174\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-2)\/27*-402*(-3)\/(-16) and -77\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7946 is divided by 7268?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 3. Let f(j) = j - 18. Let b(c) = -f(c) - 6*t(c). Suppose 21*w = 26*w. Let s(n) = w*n**2 - 18*n**2 - 12*n**2. Calculate s(b(v)).\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 125\/7 + -493\/28. Let d(m) = -m**3 - 15*m**2 - 12*m + 27. Let s be d(-14). What is the nearest to f in 10, s, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6699 divided by 29.\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*f = -23*f + 1080. Round f to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 373532647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8.39 - 1.09. Let j = -0.9 - 6.1. Let w = p + j. What is the third smallest value in 0.2, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -8  (b) 1217  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 3034554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.6 and 0.203863.\nAnswer: 0.803863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1855293 is divided by 1241?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12684253\/52059975 + -2\/189309. What is the common denominator of v and 28?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 + 4*j + 1. Let o be x(-4). Let y be -19821*(-10)\/(-246)*o\/(-88). Let s = y - 14\/451. What is the common denominator of 55\/74 and s?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 208.2836235 rounded to one decimal place?\nAnswer: 208.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 - 4. Suppose -8*g + 45 = -x*g. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3454824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 4 - (7 - (-19 + 0 + 10)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/28 - (-4)\/(-14). Suppose i = -2*h - 2*x, 2*x = -5*h - 2*x - 2. Let r be (-4*(-2 - -3))\/h. Solve 2*z = z - r*n + 2, 0 = 4*z - 5*n - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5924*a**3 - 73*a**2 - 3*a - 7 wrt a.\nAnswer: -35544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -8 + 13 + 0\/(-2). Let q(o) = -2*o + 14 - z*o + 4*o + 7*o - o**2. Determine q(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*s = 35*s - 182 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 5*h - 7 = -3*d, 5*d - 3*h - 33 = 0. Suppose 3*n - 18 + d = 0. Is (n\/(-6) - (-1320)\/9) + -2 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*s + 97*s + 143*s)*(-s + 2 - 2) + (0 - 3 + 1)*(6*s**2 - 3*s**2 + s**2) in the form l*s + m + z*s**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 + 14*i**2 - 14*i + 7. Let z be y(13). Let g(d) = -d. Suppose 2*a - 1 = -11, -5*r = -5*a - 55. Let l be g(r). Is l less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 180 = 41*r. What is the fourth biggest value in 2\/5, -7, 0.1, r?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -109 + 101. Let q be ((-6)\/10)\/(o\/80). Suppose -9*p = -q*p - 444. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21933 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 5*n - 5*z, 12 = -0*n + 2*n + 2*z. Suppose -n*c = -c + 41000. Round c to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6\/17  (b) -187.5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6678 divided by -63.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 18*y**3 - 1695547*y**2 + 109478004 wrt y.\nAnswer: 54*y**2 - 3391094*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3941 - -439. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 139120 and 65120?\nAnswer: 3060640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -52647, -105513, -158379?\nAnswer: -211245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 150 is divided by -33*(74\/(-48) + (-22)\/176)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 60 = -6*i. Let y = -59 - -65. Suppose t - 28 = -2*s, 4*s = y*s - 8. Calculate the greatest common divisor of i and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -966*a - 33. Let g(y) = 644*y + 23. Determine 5*f(q) + 7*g(q).\nAnswer: -322*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -391, -792, -1183, -1558, -1911?\n\"Answer: u**3 - u**2 - 405*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*q + 0 + q**2 + 6427*q**4 + 2*q**3 - 2 - 6428*q**4 as m*q**3 + t + a*q**2 + w*q**4 + n*q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -58.895 - 0.105. Let f = y + 59.08. Put f, 0.3, -2\/7, -1\/6 in increasing order.\nAnswer: -2\/7, -1\/6, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/5  (b) 10  (c) -5  (d) 3\/2  (e) 40  (f) 5  (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 55038 - 55008.9974. Let z = s - 29. Round z to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (116\/725*-5)\/(12\/10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 2*v**2 - 8*v + 9. Let u be i(3). Let p be (u - 6\/(-3)) + (0 - 0). Sort -1, 3, 0, p in ascending order.\nAnswer: -1, 0, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 121744, 121731, 121704, 121657, 121584, 121479, 121336?\nAnswer: 121149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 998 - 4585 + 640 + 6*w - 3353.\nAnswer: 6*w - 6300","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r - 4*r - 293*r - 24*r.\nAnswer: -318*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 220.7 - 233. Let v = 23.4 - s. Let y = v - 35.531. Round y to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 52737, 105355, 157851, 210225?\nAnswer: 262477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 179 = 3*y + 156, 13*y - 4*v + 71 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4133 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 115 + -100 + (-10 - 0) - (1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33121 (base 9) to base 10.\nAnswer: -21970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18.06 + 18.56. What is the closest to -1\/2 in p, -1\/6, 1.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/2?  (a) -3\/2  (b) 638  (c) -28\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from gggpggppgggg.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -91160 * -148.1.\nAnswer: 13500796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 42953479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8961*i - 39169*i - 2019*i.\nAnswer: -32227*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 65893043197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 130 and 5803630.\nAnswer: 75447190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -71976 and 4852.\nAnswer: -349227552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 80873684989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -19*b**2. Let t(q) be the first derivative of 2*q**3 - 91. Calculate t(s(j)).\nAnswer: 2166*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 - -10. Suppose g*s - o + 12 = -4, -3*s - 17 = -2*o. Let j = 8 + -9. Sort 3, j, s in ascending order.\nAnswer: s, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 4:43 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -15*s + 24 + 1. What is the least common multiple of 966 and s?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -75, -1, -12\/19?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(448) + 1)*5 + (sqrt(448) - (sqrt(448) - (-2 + sqrt(448)*-2 - sqrt(448))) - -5*sqrt(448)*2))**2.\nAnswer: 4576*sqrt(7) + 76196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/(-12))\/((-1)\/(-4)). Suppose v = -2*j + 4*j. Let m be (-4)\/(-2 - (3 + -6)). Sort 3, m, j in increasing order.\nAnswer: m, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 126 (base 10) to base 13.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2050805 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 73 + -805\/11. Let b = 10 + -15. Sort x, b, 1, -4 in ascending order.\nAnswer: b, -4, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-2 + 1 + sqrt(363) + -5)**2 - (-5 + (-3 + sqrt(363) + 2 - (5 + 1*sqrt(363))))**2.\nAnswer: -132*sqrt(3) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 - 6*l + 1. What is s(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -116 (base 7) in base 11?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 82 = -5*p, 0 = 2*a - 0*a - 4*p - 152. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-56)\/84 + 17\/3. Solve -i*x + 3 = -22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 135452465661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s + 2 - 2)*(1 - 3*s - 1) - 4153 + 696*s**2 + 4153 + (3*s - s - 4*s)*(-1 + 1 - s) + 0*s + 0*s + 2*s**2.\nAnswer: 697*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 299*n - 1046 + 5830 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 218340000 rounded to the nearest 1000000?\nAnswer: 218000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 32556396?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -93.2 + 4.2. Let g = 0.10130486 - 89.10071486. Let t = g - i. Round t to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.097202809 - 0.0972. What is o rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6\/(-4))\/(4\/((-4384)\/12)). Suppose g*t = 127*t + 150. What is the highest common factor of 105 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 0.15348.\nAnswer: 0.15348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6 or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 439560, 15 in increasing order.\nAnswer: -0.4, 15, 439560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 - 1. Suppose -x*q - 4*r = -629, 4*q - 179 = 4*r + 317. Suppose 0 = -2*i + q + 189. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 4*z = -8, -4*z = 3*w - w - 16. Suppose -w*d = -0 + 2. Sort -2, 4, d.\nAnswer: -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 532 and 1904.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of g**5\/60 + g**4\/24 - g**3\/6 - 4*g**2. Let k(d) = -3*d**2 + 2*d + 2. Let j be k(-1). Give c(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s + 2*k + 4 + 4, -1 = k. Let z be -3 - s - (-7)\/9. Let i = 0.2 + -0.2. Which is the closest to 1\/3?  (a) 0.3  (b) i  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 - 5*f - 1. Let d be ((-4)\/6)\/(6\/(-27)). Let l(p) = 2*p**2 + 6*p. Let c(z) = d*g(z) + 2*l(z). What are the prime factors of c(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 + 6 = 2*v. What is s in 4*s**2 - s**3 + 2040 - 2032 + 20*s - v*s**3 - 12*s**4 = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -19*f**2 + 23*f. Let c(j) = 10*j**2 - 11*j. Let i = 17 + -14. Let v(l) = i*b(l) + 7*c(l). What is the second derivative of v(x) wrt x?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -69*d + 204 + 1\/3*d**2.\nAnswer: (d - 204)*(d - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -868 = 13*z + z. Which is the smallest value?  (a) 5  (b) -0.3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18581 is divided by 90.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 13, i: 3}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 2:04 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10*l - 2*l + 4*l)*(5*l - 4*l + 0*l)*(0 + 1 + 0) to the form d*l**2 + f + u*l and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4690.402 nanometers in meters?\nAnswer: 0.000004690402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m\/(m\/(m**(-1)*m))*m)**(-5\/2)*m**2\/(m*m**(-2\/13)) assuming m is positive.\nAnswer: m**(-165\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 927609 to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the first derivative of -k**6\/18 + k**5\/15 + k**4\/12 - k**3\/9 + 5. Factor r(b).\nAnswer: -b**2*(b - 1)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((7\/(-1))\/49)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, u: 7, n: 1, h: 1}. Give prob of sequence nhwu.\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -4  (b) 0.3  (c) -0.4  (d) -326\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 239 - 388. Let j = 150 + a. What is the closest to j in 1\/8, -1, 0?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -172 - -170.05. What is the third biggest value in w, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 7785.711ug?\nAnswer: 0.000007785711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 46332697111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1354, -5419, -12200, -21703, -33934, -48899?\nAnswer: -66604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1228, 2478, 3728, 4978, 6228, 7478?\nAnswer: 8728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -2*b + 1 + 0 - 1 - 4. What is the remainder when 6 is divided by t(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 197 + -971. Let y = l + 774. Solve -4*s - 6*s - 20 = y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from {d: 9, z: 11}?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 459.919 meters?\nAnswer: 0.459919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2*3\/6 + (4 - 1). Suppose -4*v + 2*t = -4166, -4*v - r*t + 4181 = t. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -4, -7, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*x - 537*x**3 - 14*x**4 + 537*x**3 wrt x.\nAnswer: -168*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12027 divided by -5\nAnswer: -12027\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9803432 and 117608.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 2:01 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 1 = -2*i, -5*m + 0*i = -i - 27. Suppose 3*p = -q - 5, 0 = -m*q + p - 6*p + 5. Differentiate 0*x**q + 5*x**4 + 0*x**4 + 4 wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-3))\/(((-28)\/3)\/(-7))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 23+25928922834\nAnswer: 25928922857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 1 + 0 + j**2 - j - 2. Let k be q(0). Let y(o) = 2*o**3 - 2*o**2 + 1. Let v be y(k). Which is the closest to 0?  (a) 4  (b) -0.2  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.9 - -0.7. Let j = 2.8 - h. Suppose 0 = d + 4*d + 10. Which is the second smallest value?  (a) j  (b) 0.3  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -516, -513, -508, -501, -492?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/3 + 2)*2. Suppose 0 = -2*t - 3*t + h + 23, d*t = 5*h. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 3 d when four letters picked without replacement from vxqvpddxxd.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-15)\/(-12))\/(4\/(15 + 1)). Let h(b) = 101*b - 5. Let s(q) = -252*q + 12. Determine g*s(m) + 12*h(m).\nAnswer: -48*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = k - 3*q - 2559, 0 = 3*k + 5*q - 1912. Let c be 1\/(2\/1266) + -54*(-6 + (-318)\/(-54)). Is c at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 - ((0 - 2 - -19) + 772 + -800).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20.3 - -20. What is the closest to 1 in n, 1\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*-10*(-1 - 0). Let r = t - 7. Suppose -4*k = -6*k + 3*g + 27, -r*g = -k + 18. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29402 is divided by 1835?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -65*v**3 - 3*v**2 + 8*v + 11. Is i(-1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 104 is divided by 8 - 2 - -1 - -11?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/7 + 2\/7*a**2 + 2\/7*a.\nAnswer: 2*(a - 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12155425 (base 8) to base 12.\nAnswer: a915b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -287*o**2 - 310*o**2 + 596*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 24*f - 2. Let y be c(-6). Let z = y + 835\/6. Calculate the common denominator of (-41)\/(-20) - (-5 + 6)\/1 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 + -4. Solve 3*f + 5*t = -s, 4*f = t + 2*t + 13 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -19*j**2 - j + 2. Let b be q(1). Let g = -9 - b. Let w be g\/(-15) + 1530006\/10. Round w to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -208\/21 - 9550\/609. Which is greater: w or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13780623310 less than -0.19?\nAnswer: -13780623310.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 32797936 and 5648?\nAnswer: 32797936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1519 and 1073968.\nAnswer: 233051056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.46 - 22.96. Let d = i - -22. Sort 0.3, d, -1, -0.1 in increasing order.\nAnswer: -1, d, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 2*q - 2 = 0, 5*l + 4*q - 24 = 0. Let u be l - (-8)\/((-31360)\/15685). Is u equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -821*q - 20 = -826*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 666797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -226.48 + 226.58. Which is smaller: f or 5698?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 5, t: 13}. Give prob of picking 2 c and 1 t.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.17, -0.15, -4\/7 in decreasing order.\nAnswer: 0.17, -0.15, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 195807679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 952724.4 nanograms in tonnes?\nAnswer: 0.0000000009527244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f - 9*f - 6 = 0. Let y be (-2)\/f + 88\/12. Differentiate 17*z**3 - 10*z**3 + 8 + 2*z**4 - y*z**3 with respect to z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of -p**8\/336 - p**4\/12 - 5*p**3\/3 - 4. Let r(j) be the third derivative of t(j). What is the first derivative of r(u) wrt u?\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**2 - 230*o + 1025.\nAnswer: 5*(o - 41)*(o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 528 and 7216.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-44)\/(-12) - 4)*(-3)\/(-11). Which is the nearest to 3\/5?  (a) -0.1  (b) g  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 4*g = 3*g + 228, -2*b + 120 = -g. Suppose -5*f + b = -3*f. Suppose -4*d = -3*d - 16. What is the remainder when f is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2832714.4 * -0.04.\nAnswer: 113308.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16345 - 16343. Solve 20 = -18*h + o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -310 - 15?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 4*l**2 - 28*l + 37. Let p(t) = t**2 - 7*t + 9. Let w be 2 - 0 - -7*1. Let f(x) = w*p(x) - 2*n(x). Is f(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of -x**6\/120 - 2*x**5\/15 - 7*x**4\/24 + x**3\/2 - 24*x**2. Let w be c(-7). Solve w*l + 2 = -10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 44*v - 153. Let l be m(4). Let x(w) = w**3 + 2*w**2 - 4*w - 6. Let y be x(-4). Let z = y + l. Which is the smallest value?  (a) 4  (b) z  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.1 - -1.09948. What is n rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-3 - 1) - -85. Suppose o = -g + 5*g. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 3 = 0, -6 = -0*c + 2*c + 2*k. Let g be (15\/c - -1)*-2. Let p(d) = d - 1 - g*d + 2. Calculate p(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -6*o - 4. Suppose 7 = -2*d + 11. What is the smallest common multiple of c(-3) and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 108, -1, -0.2?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 175 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 + 4*n**2 + 3*n - 4. Suppose 0 = -4*z - z + 10. Let x = -4 + z. Let c be x\/6 - 117\/(-27). Let u(s) = s**2 - 1. Calculate c*u(f) - y(f).\nAnswer: -f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/6 + (-99)\/135. Let l = -0.4 - -13.4. Let p = -13.1 + l. Which is the third biggest value?  (a) 0.4  (b) p  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 16?  (a) 2  (b) 5\/2  (c) 0.15  (d) -195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6.8 - 57.8. Let u = v + 50.6. Which is the second smallest value?  (a) 3\/7  (b) -6  (c) -1  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-429*m + 1728*m + 300*m + 361*m)*(0*m**2 - 4 - 2*m**2 + 6) to the form w*m**3 + n*m**2 + c + h*m and give w.\nAnswer: -3920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -6*2\/6*-4. Suppose w*g - 3*g - 5*b = 5, 0 = -g - 3*b + 1. Let h(f) = -g + 3 - 2*f**2 - f - 4*f. Let j(q) = -3*q**2 - 6*q + 2. What is 5*h(c) - 4*j(c)?\nAnswer: 2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 AM and 5:08 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8.5 - 8. Which is the nearest to -0.1?  (a) i  (b) -3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 84255925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from pvg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 72 and 1510428?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7855, -31486, -70879, -126034, -196951, -283630?\nAnswer: -386071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 - 7*r**2 + 34*r + 11. What is t(6)?\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 212 less than or equal to 214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -5*x**5 - 165*x**4 + 5335*x**3 + 1185*x**2 - 36110*x - 31800 = 0.\nAnswer: -53, -2, -1, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -68 in -5, 5, 1\/8, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -69747167 or -69747169?\nAnswer: -69747167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 35, -2, 4 in increasing order.\nAnswer: -2, 4, 13, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 + 36. Suppose -4*w - 3 = -5*w. Suppose f = w*p + 10. Solve -2 = -p*d - s, 8*d - 4*s + 8 = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 219915?\nAnswer: 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.147594 rounded to 4 dps?\nAnswer: -0.1476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -379 - -380. Let r = 1.6 + -1.6. Which is the second biggest value?  (a) r  (b) -2\/9  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence apc when three letters picked without replacement from {p: 3, a: 1, v: 4, c: 11}?\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that c**5 - 34*c**4 - 111*c**3 - 4*c**2 + 148*c = 0.\nAnswer: -2, 0, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14192?\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 34227688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 PM and 5:47 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 4*(-2 + (-1*(2 + sqrt(3)*1) - sqrt(27)\/(sqrt(216)\/sqrt(6)))**2))*-5.\nAnswer: -120*sqrt(3) - 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 - 11*w**2 + 6*w**2 + 8*w**2 + 2*w**2 as t*w + k + b*w**2 and give k.\nAnswer: -5","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 oooooobboobo?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q + 3. Let s(d) = d**2 - 6*d + 2. Let c be s(5). Let y be w(c). Solve -2*n - 12 = 2*f - 5*n, -5*f - n + 4 = y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 - 35*f + 26. Calculate r(14).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 136*c + 364*c - 9198 = 69*c + 6318 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let d be (8 - 3)*15\/25. Suppose 3*q + 5*h - 53 = d*h, -2*q + 30 = -4*h. Solve 0 = 5*o + 10, -5*t + q = -o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6078933.\nAnswer: 3, 7, 47, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert ec6 (base 16) to base 3.\nAnswer: 12012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 5*r = 30, -2128*r = -2*z - 2126*r + 16. Let j = -30 + 20. Let m = 15 + j. Is z not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of 9*y**2\/2 - 3*y + 259. Let w(k) = 19*k - 7. What is 13*o(s) - 6*w(s)?\nAnswer: 3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 108 and 165636?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/9 - (1312\/252 - 5). Which is the nearest to -1\/3?  (a) 5  (b) q  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -26301, -26261, -26189, -26085, -25949?\n\"Answer: 16*t**2 - 8*t - 26309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 624348377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 3*m**3 - 333*m**2 - 1026*m. Give r(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 367 is divided by 115.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -4*m**3 + 51*m**2 + 15*m - 27. Let w be k(13). Sort -5, 1485, w in decreasing order.\nAnswer: 1485, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 0 + sqrt(425) + sqrt(425) + 3 + 1)**2 + -3.\nAnswer: -20*sqrt(17) + 1698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**2 - 9*i + 8. Let l be q(7). Let p = -4 - l. Suppose -5 = -2*n + m, -6*n + m + 11 = -p*n. Solve -n*j = -4*j + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 4509*z**3 + 19*z**2 + 29*z - 118. Is t(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 4*k = -38. Suppose -28*z = -90 - 134. Solve -z*c**4 + c**5 - k*c**3 + 13*c**3 + 3*c**4 = 0 for c.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2624\/9 or -291?\nAnswer: -2624\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*q + 3*q, -b + q + 95 = 0. What is the remainder when b is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.82 and 0.228?\nAnswer: 0.64296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ahy when three letters picked without replacement from dmyahhhhy.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 250, -1, -4, 3.\nAnswer: -4, -2, -1, 3, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -45*k + 5630. Give p(125).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-1346)\/((-11)\/(121\/22))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8309.69 - 8556. Round w to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**2 - 9*x - 5. Determine t(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 6*r + 32. Let w = 20 - r. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(sqrt(504) + sqrt(504)*-1 + sqrt(504)) - sqrt(504))\/((sqrt(512) - sqrt(512)*-1 - sqrt(8))*2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z - 2*z + 18*z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 452.4407 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67355 is divided by 1271?\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*q**5\/3 - 308*q**4 - 6998*q**3\/3 + 1636*q**2 + 1008*q = 0. What is q?\nAnswer: -84, -9, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3739\/4 + -946. Let s = -307\/28 - x. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-108)\/(-1350))\/((-14)\/175)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - 5 - 3. Suppose 0 = -5*u - 5*p, p + 7 = y*u - 2. Suppose u*f - m - 11 = 0, m - 3 = -2. Solve o + f*o = -20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l - 4. Let o be z(-6). Let g be 2\/(-3*o\/(-15)). Suppose g*u = -2*f + 5, -2*f + 3 + 4 = 3*u. Calculate the lowest common multiple of 1 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 12, e: 7}. Give prob of picking 3 y and 1 e.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/13 + (2 - 3)*4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1002 divide 112973857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 149544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1459.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1265d (base 14) to base 4\nAnswer: -23001223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1\/3))**(-35))**(3\/20)*(d*d\/(d*d\/(d*(d\/d**(-5))\/d))*d*d*d*d**6)\/(d**(3\/4)*d*d**(-1\/2)) assuming d is positive.\nAnswer: d**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9540)\/4611 + 2\/29. Which is the nearest to -2\/35?  (a) -1  (b) y  (c) 3  (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10694 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2, -20, -54, -110, -194?\n\"Answer: -o**3 - 2*o**2 - 5*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-351053796)\/992)\/(9\/(-48)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 - 20 - 27 + 5*s**2 - 2 + (-3*s + 7*s - s)*(4*s + 6*s - 12*s).\nAnswer: -s**2 - 53","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 39*z + 315. Determine r(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -0.67.\nAnswer: -0.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 48 + -48. Suppose d = 4*a - 2*w - 196, 0*a = 3*a + 4*w - 136. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6829 = -333*z + 1168 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22338 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3849 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of 4*j**3\/3 - 1. Let n(v) = -2*v - 6*v + 8*v + v. Let l(u) = u. Let w(d) = -l(d) + 2*n(d). What is w(g(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*r - 0 - 13. Let x(m) = -m**2 + m - 1. Let b(p) = -8*p**2 - 2*p + 4. Determine r*b(t) + 2*x(t).\nAnswer: -10*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 2, r: 4, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -21, -44, -67, -90, -113, -136?\n\"Answer: -23*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 + 107*h**2 + 305*h - 544. Let a be c(-104). Solve 0 = -187*k + a*k - 24 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14802 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -j**4 + 213 + 3*j**5 - 35*j**6 - 213 + j**4 + 13*j**2 - 3*j wrt j.\nAnswer: -4200*j**3 + 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 428 = -103*r. Let x(p) be the second derivative of 0 - 7*p**2 + 0*p**3 - 30*p + 23\/12*p**r. Differentiate x(h) with respect to h.\nAnswer: 46*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from dawuad?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -367.68 in -2, -6, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 29?  (a) 0.04  (b) 104  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5084.\nAnswer: 2, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m\/(m**(-1)\/m)*m)**(1\/2) assuming m is positive.\nAnswer: m**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*b + 9*b + 93*b = -780 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -3005, -3004, -3003, -3002, -3001, -3000?\n\"Answer: m - 3006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of u**2\/2 + 9. Let g(a) be the first derivative of a**3 + 1. What is n(g(f))?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -356*a*o**2 + 11*a*o - 46518471*a + 774*o wrt o.\nAnswer: -712*a*o + 11*a + 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.0108 + -85.\nAnswer: -87.0108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**2 - 4*o - 5. Suppose 3*k - 962 = -5*r, -3*r + 584 = -0*r - 5*k. Let n = 189 - r. Calculate c(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-1269)\/329)\/1)\/((-24)\/224).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34 + 60. Let p be 1*(-2 - -3) - -2. Suppose a = -p*h + 107. What is the highest common factor of 18 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 131*q**2 - 8*q + 20. What is the remainder when r(3) is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*r - 2*r + 32 - 26 = 0, -4*z - 2*r = -6*z - 5*z + 225 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 19 - 8 = -2*d, -5*d + 2*b - 28 = 0. Let r be (-1 + d\/(-4))*4. Solve -r*l - 3*c + 25 = 0, -3*l + 38 = 3*c + 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -a**3*o**3 - 2*a**3*o**2 + 6*a**3 + 190*a*o**2 + 31743*o**3 + 3 wrt o.\nAnswer: -6*a**3 + 190458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 600 = 5*f, 3*f - 360 = -0*k - 5*k. Let m = -102 + f. What is the least common multiple of 14 and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.4, 1.58, -2\/9, -34, 2\/9?\nAnswer: 1.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aeeaa. What is prob of sequence aae?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -3543, -4, 11 in descending order.\nAnswer: 11, -4, -3543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 28414668943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*2*sqrt(528)*-5)\/(sqrt(1452)*2*-6) + 0.\nAnswer: 25*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-216)\/(-840))\/((-12)\/(-7)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 - -10. Suppose 0 = u*g + 8 + 16. Does 6 divide 172\/14 + g\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 8:14 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 21  (b) -21  (c) -4  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1000101111000011010101 (base 2) to base 8\nAnswer: 10570325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -6436 divided by 1\nAnswer: -6436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5170 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -32 - -21. Let j = c + 7. Is j\/(-6)*4413\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/6*-2 + -4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1959110911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11023 + -2130?\nAnswer: 3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e6b + -3142?\nAnswer: -22d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (3596\/(-1972))\/(2\/(-34))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**2 + 1. Let l be n(1). Suppose -16 = -0*u - 4*u. What is the third derivative of -71*t + 17*t**l - 5*t**u + 71*t wrt t?\nAnswer: -120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of u**2*w*y**2 + 27*u**2*y - 6*u*w*y**2 + 1080*u*w*y + 5*u*w + 112321*w*y**2 wrt y.\nAnswer: 2*u**2*w - 12*u*w + 224642*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 68, 145, 660 in decreasing order.\nAnswer: 660, 145, 68, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/3)\/(230\/1035)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0121358269 to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*n + 3671 - 1821 = 1824 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 35 and 350.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -718 - -1087. Let m = 526 - h. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32.2 * -3828551\nAnswer: -123279342.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**3 + 2*n**2 + 5*n - 1. Let c be j(6). Let v be 1\/(-6) + c\/30. Let u = 16 - v. Solve 5 + u = -5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 9) in base 7?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(3\/7)*g)\/g*g*g**11*g*(g**(-10)*g)\/g**(-2\/13))**(2\/69) assuming g is positive.\nAnswer: g**(278\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 50 + -48. Suppose -2*r = -28 - z. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**3 - v**2 - 4*v. Let c be g(-3). Suppose 0*l = 5*l - c. Suppose -f + 62 + 4 = 0. Calculate the greatest common divisor of f and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000167711959 rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 18728 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1292*w**2 + 24 + 16 - 1294*w**2 to a*w + d + b*w**2 and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2677300 divided by 20?\nAnswer: -133865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -8, 11*n = 9*n - 5*h + 146. Solve -41*y + n*y = 66 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (126\/24)\/(9\/8)*-9.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -62*m**2 - 3105*m - 402490 wrt m.\nAnswer: -124*m - 3105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.27 in 6, 5, 0.05, -10\/9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 + -8. Let o(p) = p**3 + 4*p**2 + p + 5. Let b be o(r). Suppose 0 = z - b - 1. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-7) - 87\/(-84). Let y = -5.09 - -0.09. What is the nearest to j in y, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 7256*y + 72684. Give z(-10).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.193 - -0.293. Let r be (6\/(-4))\/((-33)\/(-4)). Sort 10\/9, r, h.\nAnswer: r, h, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 + b - 3. Let u be m(-3). Let h = 1 + u. Let s = h + -2. Solve s*p + 5*o + 9 = 1, 3 = p - o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14876 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.638293 rounded to two decimal places?\nAnswer: 3.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4732*b**2 - 4732*b**2 + 3*b**3 - 3 to m*b**3 + w*b**2 + f + q*b and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.094 in -2\/3, -5, 65?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-616)\/12)\/11*(-585)\/91. Which is greater: x or 1158\/37?\nAnswer: 1158\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -171 times 42\nAnswer: -7182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 5*x**2 - 26*x + 44. What is the remainder when 1095 is divided by l(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, -1.13, 16, -5, -0.5, 11, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -62.37441875 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*z - 4*z + 4*p = -27, 0 = -3*z - 2*p - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*u + 25, -3*u - 27 = 2*x + 2*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 15068, 30148, 45228?\n\"Answer: 15080*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d + 26 = -18. Is 7\/d + 9\/12 + 1260 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*y + 1959 - 62. Let u(p) = -p + 272 + 3*p + 7*p - y. Let b(n) = 5*n. What is 5*b(k) - 3*u(k)?\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of y**3*z - 14165029*y**3 - y*z - 5702*y - 16*z wrt y.\nAnswer: 6*y*z - 84990174*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 3*h - 50. Suppose 4*d + h = 42. Suppose -3*k + d*k - 80 = 0. Solve -11 = s + 3*x, -5*x + 7 - k = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -269 + 386. Suppose -67 = 10*c - f. Sort -132, -1, c in ascending order.\nAnswer: -132, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(5 - 2 - 2). Is -1 + (2 - -2) - (-4105 - j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 9*f - 9. What is the least common multiple of l(3) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-150))\/(((-44)\/16)\/11).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -9*s + 37*s - 17*s - 13*s - 255. Let g(z) = 2*z**2. Calculate g(q(o)).\nAnswer: 8*o**2 + 2040*o + 130050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -30\/17 + 377\/204. Let g(m) be the third derivative of -5\/6*m**3 - s*m**5 + 0 + 0*m + 6*m**2 + 0*m**4. Differentiate g(y) wrt y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10\/300)\/((418\/55)\/19)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 14, 2, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54.24605 centuries to months.\nAnswer: 65095.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -77*s**2. Let z(f) = -f + 1. Let p(o) = -4*o - 3. Let t(l) = p(l) + 3*z(l). Calculate y(t(r)).\nAnswer: -3773*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 117 + -170. Let y = 0.183 - -0.017. Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -3, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 17 + 2261669732601\nAnswer: 2261669732618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - 8 - -10) + -20 + -9 + -9?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from xxjjxxx.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 35.1 - 6.1. Let f = 50.47 + -47.47. What is the fourth smallest value in f, 5, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 + 61*u**2 + 2168*u - 1559. Determine j(86).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 242 a factor of 48884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, s: 1, k: 2, w: 2}. Give prob of picking 1 q, 1 s, 1 k, and 1 w.\nAnswer: 8\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 7:15 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 6*g**2 + g**3 + 4*g + 2 - 12*g + 1. Let s be q(-7). Let x be (-2)\/(-3)*5\/s. Does -2 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 2*p = -2*a + 18, 0 = a - 5*p - 18. List the prime factors of 13\/(a + -2) - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2009 (base 15) to base 6.\nAnswer: -51143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -922551*d + 5535311. Calculate j(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1005 - -3?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 12\/(-10)*2200\/(-33). Calculate the highest common factor of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 10939\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -5*n + 3*f - 8, 3*f = -15. Suppose 5*i = 2*t + 31, 2*t + t = -4*i + 11. Sort 18, n, i.\nAnswer: n, i, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + -5 + 2 - (6 + 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-3 + -1 + -3*(sqrt(13) + 0) + 3)**2.\nAnswer: -472 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2*p**2 - 256*p + 8943. Calculate o(58).\nAnswer: 823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/3))**16\/(((r*(r*r**6*r)\/r)\/r)\/(r\/(r\/(r*r**7*r*r)*r))) assuming r is positive.\nAnswer: r**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.596143 rounded to 1 dp?\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 8, -1, -8, -4, 432 in ascending order.\nAnswer: -8, -4, -1, 0, 8, 432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13612 divided by 8846.\nAnswer: -6806\/4423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*l - 3 = -269. Suppose 40 = 5*i - 5*o, -2*o - 1 = -3*i + l. Solve 3*r + i*j + 6 = j, 3*r = -2*j - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/24*(-1 + 29 - 0). Suppose i + o = 8*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1120 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (-15 + -6 + 14 + 11)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4 - 0)\/2*1. Suppose 5*w - 8 = 3*w. Factor -f + 12*f**2 - j*f**2 + 2*f**2 + 9*f + w*f**3.\nAnswer: 4*f*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/5 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5597, -5599, -5601?\nAnswer: -5603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -84402 + 13504527\/160. Let b = d + -3\/32. Factor -b*s**2 + 0 - 3\/5*s**3 + 9\/5*s.\nAnswer: -3*s*(s - 1)*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -3*y**3 + 5*y**2 + 5*y - 1. Let t be x(-1). What is the hundreds digit of (4191\/44)\/(t\/16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 890 = o - 2*f, -f = 1. Let t = o + 234. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 128 divide 9901399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w - 4*w + 4*w + 8 - 8.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 18\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.6 and 1932.\nAnswer: 1931.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 divided by -26.\nAnswer: 43\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*k**2 - 18*k**2 + 8*k**2 - 755*k**4 + 6*k**2 - k**2 + k**4 + k**2 - 2*k**4 - 4*k + 4*k + (-k + k + k**3)*(2*k - 1 + 1) + 19*k**4 - 3*k**4 - k**4.\nAnswer: -739*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(6\/13)*y)\/(y*y*y**14*y*y) assuming y is positive.\nAnswer: y**(-214\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 2*v**2 - 21*v + 26. Let b be g(13). Let o = 94 - b. Suppose 0 = w + 3*l - 11, 0*w + 19 = o*w + 2*l. Let i(p) = -p**2 + 2*p + 2. Give i(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 436 and 4631955.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (156\/(-21))\/(-2) - (-4)\/14. Suppose -4*j = -k*v - 4008, 4*v + 32 = 20. Does 37 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*o - 0*o. What is the units digit of 2*o*(-15)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pkepoogtooopkpg. Give prob of sequence po.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*s - 81 = 84 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 204, 403, 598, 789, 976?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 61 - 82. Let a be 350\/v*(-24)\/5. Suppose -4 = 4*p - a. 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 13\/4 of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 + -14. Let j be ((-42)\/u)\/((-2)\/6). Is 4\/j + (-919)\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 92505 and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -3, 1, 4, -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 65 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:55 AM and 3:05 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes before 3:28 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - 19926f9?\nAnswer: -19926f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*x = 352109 - 351785 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 6*-1*(sqrt(1573)*1 + sqrt(13) - (sqrt(13) - ((1*sqrt(65))\/sqrt(5) + sqrt(13) + sqrt(13))))*6.\nAnswer: -504*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2433387949.\nAnswer: 4019, 605471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 36799.54 hours in milliseconds?\nAnswer: 132478344000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*c + 269*c + 35*c**2 - 298*c + 19*c**3.\nAnswer: 19*c**3 + 35*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express j**2 - 6 + j + 7*j - 4*j in the form q*j + d + b*j**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**4 + 22*n**3 - 38*n**2 + 18*n.\nAnswer: -2*n*(n - 9)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fqqfqxqqxqqqqqq. What is prob of picking 1 x and 2 f?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 m when three letters picked without replacement from {h: 1, m: 11, z: 6}?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 304 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 4*d + 198 = 0, 0 = q + 4*q + 5*d - 200. Let l = -8680 - -8690. What is the remainder when q is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.18, 5\/8, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 63304 + 37?\nAnswer: 6333b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 605, 770, 1067, 1508, 2105, 2870, 3815, 4952?\nAnswer: 6293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 26\/(-104) - 21\/60. Let j = 0.01 - -1.49. Let z = j + -0.5. Which is greater: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 5*i = -13, 0*m + 4*i = 4*m + 16. Does 37 divide 11 + 68 + 1 + m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 44 = 20*s + 2*h + 40, -3 = -5*s + 2*h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1339137?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -r**3 + 470422*r**2 + 4*r - 5668274 wrt r.\nAnswer: -3*r**2 + 940844*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/2 + (-99)\/(-66) + (-75)\/20.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 9\/((-70)\/65 - -1). Let s = v + 119. Solve -4*a = s*b + 10, -5*b = 2*a - 12 - 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 90098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*d**2 - 28070*d**4 + 28071*d**4 + 3*d**2 + 15 to k*d**3 + v*d**4 + p*d**2 + c*d + l and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of -11*h**3\/3 + h**2 + h + 4. Let o be r(-1). Let z be (-16)\/o*6 - 2. What is the greatest common divisor of z and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r, 1 m, and 1 w when four letters picked without replacement from {n: 1, a: 1, r: 2, w: 2, m: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of 1\/9*s**4 + 0*s**3 - 1\/45*s**6 + 0*s**5 - 1\/3*s**2 + 2*s + 0. Factor c(a).\nAnswer: -2*(a - 1)**2*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28\/(-3))\/4*(-96)\/(-336).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 + 8*l - 5. Let n be y(7). Suppose -n*w + 7 = u - 0*u, -5*u - w + 53 = 0. What is the remainder when 18 is divided by 0\/(-1) + u - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100 (base 2) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3181 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 60\/21 - (-6)\/42. Suppose u*d = -3*i + 585, -4*d - 432 = -i - 1187. Let z = d + -59. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of -7\/2*r**2 + 1 + 2*r - 7\/6*r**3. Let u(v) be the first derivative of g(v). What is the first derivative of u(t) wrt t?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3783 - 1257 = -6*k. Suppose -5*o - 5*v = -k, -5*v + 198 = 2*o - 126. Suppose n = -2*r + o, 2*r - 7*r + 5*n = -415. What are the prime factors of r?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -4*k**2. Let g(t) = 5*t**2 + 4*t - 4. Let y(r) = 11*r**2 + 9*r - 9. Let o(a) = 9*g(a) - 4*y(a). Give o(q(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbuqnpap. 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: Let a(f) be the first derivative of -f**2 + 5*f - 240790. Let l(b) = 2*b - 4. Suppose 0*q = 4*q + 12. Give q*a(r) - 4*l(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 28 + -8. Suppose s = -s + a. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19167, -38333, -57499, -76665, -95831, -114997?\nAnswer: -134163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 265, 534, 795, 1042, 1269?\nAnswer: 1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 18.52505 and -1.42.\nAnswer: -26.305571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 91 - -1128?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 + 6*z - 2. Let o be g(-6). Let s be -110*(-3)\/126 - 1. Let v = -52\/35 + s. Sort v, o, 0 in decreasing order.\nAnswer: v, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 6:10 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 95171 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110001111101111 + -1110010101?\nAnswer: -1110011110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (5 - 64\/12)*(-12)\/1. Let w(x) = 7*x**2 - m*x - 9*x**2 + 2*x**3 + 5*x**2 + 3. Is w(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f - 196 = -6*f. Suppose -22 = -9*g + f. What is the tens digit of (182\/g)\/(4\/40*5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -85 - -103. Let s(o) = 2*o - 29. Let p be s(l). Suppose p*r - 108 = 3*r. Solve -2*n + 18 = -4*x, 0*n = -4*n + 5*x + r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 80\/11 in 2, -13\/5, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -228 < -233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -143\/336 and 149\/816.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 + 9 - 2 - 1 + 1521*q**2 to the form z*q + a + y*q**2 and give y.\nAnswer: 1521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c**3 + 35*c**2 - 21*c - 11 = 0. What is c?\nAnswer: -1\/3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o + 55 = 111. Let a = 7 - -6. Suppose -a = 2*n - 3. Which is bigger: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 58823631 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5718766*v**4 - 222409*v**2 - 8?\nAnswer: 137250384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12003202 + 11222?\nAnswer: 12021030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 50*f**4 - 11294*f**3 + 637094*f**2 + 76614*f = 0.\nAnswer: -3\/25, 0, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 7078.244ng?\nAnswer: 7.078244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -220, 3, -6, -1352, 2\/5, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 932777.707 to the nearest 10000.\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 7.5.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/43 and -79\/1444?\nAnswer: 62092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2.261, 0.2, 8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ugcyg. What is prob of sequence yu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 145006831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eaeveae. What is prob of picking 3 e?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14021 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 6*q = -2*l + 107, 2*l = 3*q + 117. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 2*i**2 - i - 30. Let n be w(-6). Let t = n - 43. Suppose -3*v - t*g = -77 - 30, 0 = 2*g + 10. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -205.\nAnswer: -820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 242828686.\nAnswer: 2, 121414343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 2*b + 5. Suppose -n + 6 = 3*m - 260, n = -4. Suppose 2*g + m = b*g. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 5:41 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 34 = -3*n + 2*p, 2*n + p + 27 = 0. Let b be n\/(-5) + 1\/(-5). What is the greatest common factor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**3 - 42*p**2 + 327*p - 39. Let c be q(10). Which is bigger: 33 or c?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/(v\/v**1*v)))**(-39)*v\/((v\/(v*v*v**(-12\/5)*v*v))\/v)*v**4\/v assuming v is positive.\nAnswer: v**(-167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 274809.\nAnswer: 549618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than 178903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(((-20)\/(-2))\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 530 is divided by 238?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**3 + 6*b**2. Let f be a(6). Suppose f = -2*h - h + 5*z + 2, -3*h - 3*z = -18. Solve 0 = -t + 2*l, -12 = -4*t - h*l - 0*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 2*h + 14, -4*h - 34 = -n - 7*h. Suppose 12 - n = -2*x. Let l be 84\/7*(-1)\/(-3). Solve 0 = -m - o - 5, o - 12 = -l*m + x*o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -29.5 * 657.\nAnswer: -19381.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 64 - -15. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 72801530 and 72801530 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*3\/24*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -111011110101001000010000 (base 2) to base 15\nAnswer: -159c227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j**2 - 9782704*j - 567383376 = 0 for j.\nAnswer: -2445618, -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000288605 to 5 dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 61 + 87. Let q = w + -143. Put q, 2, -16 in ascending order.\nAnswer: -16, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1312, -15241, -5.\nAnswer: -15241, -5, 1312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = 5*j + 5, 4*i + j = 23 - 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -211543450543 + -3?\nAnswer: -211543450550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 minus 0.3115?\nAnswer: -0.3115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -315*z + 2210. Let y be r(7). What is the second biggest value in -0.2, -25, 59, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2368 divided by -37541.\nAnswer: -2368\/37541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from ffnwofnnnnnwwwk?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*i**4 + 1988*i**3 + 3269*i**2 wrt i?\nAnswer: -96*i + 11928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**2 - 292424*i - 292420.\nAnswer: -4*(i + 1)*(i + 73105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000052059 rounded to seven dps?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, p: 1, l: 5, q: 1, v: 3, y: 1}. Give prob of sequence ymqv.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from epppppepppeee. What is prob of picking 4 e?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26248 and 66776.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 35, -4 in increasing order.\nAnswer: -4, 11, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -42*s**3*v**2 - 2*s**3*v + 120*s**3 - 2*s**2*v - 2*s wrt v?\nAnswer: -84*s**3*v - 2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.85 + 2.15. Are g and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(65)*-4)\/sqrt(5).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 68 divided by -8708?\nAnswer: -17\/2177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + 1. Let s = -348 + 260.5. Let k = -87 - s. What is the second biggest value in n, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**2 + 3*f - 2. Let c be w(2). Suppose -2*a - 12 + c = 0. Let y(x) = x**2 + 6*x - 2. What is y(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6489737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*x - 5*x + 744. Let i(q) = x - q + 69 - 127. Let u be (-1 + 0)*(-3 + -2). Give i(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 34*r**3 + r**2 - r. Determine p(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.8973 + -542.7173. Round x to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 21*g + 1. Is j(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16230 to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 - 7*a + 6. Let x be j(-6). Let o = 44 - x. Suppose 3*u - o = -4*v - 0*v, -21 = -4*u - v. Solve 5*h + k = 5*k - 3, 3*h = u*k - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 76439 + 2?\nAnswer: 7643b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4416*v + 14907.\nAnswer: 4416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l = 4*l + 60. Suppose -4*t - 6 = 2*w - 20, -3*w + 31 = -4*t. Suppose v - 5*f + w = 0, -4*f + 23 = 2*v - l. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 267038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the first derivative of -40*o**6\/3 - 104*o**5 + 315*o**4\/4 + 250*o**3\/3 + 35*o**2\/2 - 491. Determine c, given that m(c) = 0.\nAnswer: -7, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1\/15509, -9 in descending order.\nAnswer: 5, 1\/15509, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1654604760 rounded to the nearest one million?\nAnswer: -1655000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -17. Suppose w*n - 12 = 13. What is the least common multiple of n and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 52  (b) 5  (c) 4  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.68 + -14.12. Round v to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 8, -5*y + 2*o = -2546. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9088.6882 rounded to the nearest 10?\nAnswer: 9090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b*x**5 + 2*b*x**3 + 21*b + 77*x**5 - 3*x**2 + 3 wrt x.\nAnswer: -60*b*x**2 + 12*b + 4620*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (168\/(-378))\/((-10)\/(-9))*(-1680)\/32?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2877 + -4250. Let a = 6198 - i. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-17)\/(-2) - 4\/(-8)) + 110802\/(-11894)\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2*(159 - 1 - 3). Let k be ((1\/(-1))\/(-2))\/(5\/x). Solve 3*l + l - 25 = -3*r, -4*l = 5*r - k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -5*x**2. Let s(u) = 203872*u**2. Calculate s(k(y)).\nAnswer: 5096800*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from {w: 1, b: 3, j: 1, z: 5, n: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 25 = 2*n, 0 = 5*u - 185*n + 180*n - 40 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m**2\/3 - 23936*m\/3 - 71616512\/3 = 0. Calculate m.\nAnswer: -5984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 117621893 to the nearest integer?\nAnswer: 10845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 363311899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11321 + 1?\nAnswer: 11322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 25*o + 59. Calculate a(-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(441)*-1 - sqrt(441))\/(sqrt(343)*-3) + 5).\nAnswer: -10 - 4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 249448313*w**5 - 146727081*w?\nAnswer: 4988966260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01607177461 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (882\/441)\/((-1)\/(-8))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-2*sqrt(700) + (-2*sqrt(700) + sqrt(700) + -3 + sqrt(700))**2 + sqrt(700))*-3.\nAnswer: -390*sqrt(7) - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide ((-115)\/(-69))\/(10\/37476)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20925501 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 2  (b) 1\/4  (c) -4  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.049144 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 2*d = 5*d + 210, -2*v + 105 = 3*d. Calculate the highest common divisor of 45 and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*s**2 - 2763510*s - 4521960 = 0.\nAnswer: -50244, -18\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -50*n + 96. What are the prime factors of q(-5)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0*d - 3*d + 2*d)*(-1 + 11 + 6) + 5*d - 4*d + 0*d)*(4 - 2 - 4) as g + u*d and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 30 = 5*u, 2*b = -5*u + 3 + 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-402)\/(-31155) - (-163308)\/4805?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2\/123 + 232\/861. Which is the closest to -4?  (a) -3\/5  (b) 0.2  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -262607, -525218, -787829, -1050440?\n\"Answer: -262611*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001979 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (375\/384 + -1)\/((-57)\/(-988)*-2). What is the third smallest value in 3, f, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.1274ml to litres.\nAnswer: 0.0021274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51359654?\nAnswer: 2, 67, 383281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/7552580 and 59\/20.\nAnswer: 7552580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*v**3 + 112*v**2 - 220*v - 200.\nAnswer: -4*(v - 5)**2*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 230812 or 230813?\nAnswer: 230813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Do 1.3 and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(30)\/(sqrt(30)\/sqrt(5)) + (-3*sqrt(60))\/sqrt(12))**2*-4 + 3.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 6 - 3 + 0*j + 11*j - 4. Calculate k(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37493 + -112471\/3. Factor i*j**2 - 7\/3*j - 1\/3*j**3 + 0.\nAnswer: -j*(j - 7)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -98347.2*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1203.598*0.3\nAnswer: -361.0794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8)\/(-42)*3*7. Sort i, -1, 10, 5.\nAnswer: -1, i, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -991 and 9?\nAnswer: -8919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 634497.6 micrometers in centimeters?\nAnswer: 63.44976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -a - 5*g, 2*a + g + 6 + 2 = 0. Let k(s) = 3*s + 9. Let x be k(a). Is -3 + x*(0 - 2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1440632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 PM and 11:46 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-3)*1*(-12)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 4 = 19. Suppose -r*k = -7*k + 8. Does 32 divide 6\/k*((-580)\/(-12) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - a + 4 = -2*a, -2*n - 4*a = 16. Suppose 4*u + 2*h = 3*h + 54, u - 4*h - 21 = n. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -828, -4375, -7922, -11469?\nAnswer: -15016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -5, 5136 in decreasing order.\nAnswer: 5136, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 27.86 and -37558.\nAnswer: -1046365.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 less than -203?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*z = -20*z - 18. Suppose 0 = 2*c - m + 3*m + 15859996, -4*m - 23789992 = z*c. Round c to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3241326 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.061*-7.29.\nAnswer: -7.73469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 141343 divided by -503.\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 h when three letters picked without replacement from {y: 1, h: 11, f: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.046623869 to two decimal places.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-4)\/10)\/(20\/(-25)). Let s = 4 + 1. Which is the third biggest value?  (a) -2  (b) g  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-31*w**2 - 4 + 48*w**2 - 21*w**2)*(0 + 0 + 2*w**2) to q + m*w**3 + f*w**2 + i*w + b*w**4 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7512 divided by 2.\nAnswer: 3756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 13 - 1 = 0. Suppose 5*b - 20 = 4*b + 2*p, 0 = 4*b - 3*p - 60. What is the greatest common factor of u and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -493, -2\/41, -13, -3?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*v - 630 - 11*v + 88 + 16*v in the form d*v + k and give k.\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 - 11*w**2 - 11*w - 7. Let d be o(-10). Suppose u = -2*u - 3*l - d, 3*l - 1 = -u. Which is the nearest to u?  (a) -3  (b) 3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -170*c - 109*c - 1057*c in the form f + o*c and give o.\nAnswer: -1336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {d: 3, j: 1, q: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 0 - 3*n + 4.\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 18317547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 16 = -2*x + u, 0 = 4*x + 4*u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 4*g - 7, 3*g = m - 36. Calculate the remainder when m is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6788 + 6839. Solve -23*s = -m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1637 - 1682*c + 108*c**2 - 106*c**2 + 43.\nAnswer: 2*(c - 840)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*s**2 + 4*s**2 - 6*s**2)*(-5*s + 3*s - 2*s) + (3*s**3 - s**3 - 4*s**3)*(-1 + 3 + 0) to o*s**2 + k + y*s + n*s**3 and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -86.48062369 - -1.48067669. Let s = 85 + l. What is s rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 - -13351412545?\nAnswer: 13351412551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2. Suppose -d = 3*d. Let o = -2 + d. Calculate y(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 + 22*p**2 + 14*p + 311. Let z be u(-22). Solve z*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 34, 139, 256, 391, 550?\n\"Answer: t**3 + 98*t - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3028*f + 12145*f - 3050*f - 3047*f - 3045*f.\nAnswer: -25*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 234172?\nAnswer: 2, 58543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -31\/2, -6, 0 in descending order.\nAnswer: 0, -6, -31\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*y)*(3 - 4 + 3)*(2 + 7 + 2).\nAnswer: 44*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 198811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*o**3 - 1 + 67*o**4 + 7*o**2 + 9*o**2 - 69*o**4 - 3*o**2 to w*o**4 + d + a*o**3 + k*o + m*o**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 507927*b**3 - 1072*b**2. Let y(f) = 4747*f**3 - 10*f**2. Give -5*q(g) + 536*y(g).\nAnswer: 4757*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhkhhhhhkh. Give prob of picking 3 h.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 38 - (4 - 24\/4). Suppose -32*d + c*d = 6696. What are the prime factors of d?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4996*h + 1345*h - 9147*h.\nAnswer: -12798*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 29543563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-20)*20\/45\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31175*y = -31180*y + 3*s - 33, -27 = 5*y + 3*s for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 17691, 141356, 477013, 1130658, 2208287?\n\"Answer: 17666*u**3 + 3*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4 + -2 - -2) + 0. Suppose 4*i + 2*g = 8, 4*i - g = g + 24. Solve 36*y + 40*y**2 + 40*y**3 + 27*y + 4 + i*y**5 - 43*y + 20*y**l = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: ((-17266725)\/(-1665))\/95 - 109\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2078, 2079, 2080?\n\"Answer: f + 2077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 2*v + 2202. Let k(g) = g**2 + 7*g + 30. What is r(k(o))?\nAnswer: 2*o**2 + 14*o + 2262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -21\/36100 and -5\/266.\nAnswer: 252700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of -n**5\/60 - n**4\/6 + 2*n**3 + 12*n**2. Let w be z(-6). Let r(v) = -v**2 - 4*v + 56. What is the units digit of r(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 AM and 9:28 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 - 1. Let v(b) = -3*b + 34. Let t be v(11). Let l(n) = -7*n**2 + n + 2. Determine t*l(r) + 5*z(r).\nAnswer: -2*r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -821\/1342?\nAnswer: -821\/1342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -101030 - 134?\nAnswer: -101204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/12 and -53\/21480.\nAnswer: 21480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 58 and 51604543?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 + p**2 + p - 3. Let g(b) = 15 + 4*b**2 + 0 + b**3 - 17 - 6*b. Let r be g(-5). Calculate j(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + m - 10, -5*k + 3*m + 5 + 7 = 0. Suppose -4*g - 4*l = -0*l - 76, -59 = -k*g - l. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) -0.1  (c) -2  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/3, -15\/14, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29690590 or -29690586?\nAnswer: -29690590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -8*b**5 + 20*b**4 + 8*b**3 + 8*b**2 + 14*b - 14. Let l(o) = 3*o**5 - 7*o**4 - 3*o**3 - 3*o**2 - 5*o + 5. Let r(d) = -5*f(d) - 14*l(d). Factor r(t).\nAnswer: -2*t**2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 5 + (sqrt(72) - ((0 + sqrt(72))*2 + sqrt(72)) - sqrt(72)) + 4*(1*(sqrt(72) + -1) + sqrt(72)*1 + -2))**2.\nAnswer: -720*sqrt(2) + 1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and 2254046.9.\nAnswer: 4508093.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 998096510 a multiple of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 477, 493, 519, 555, 601?\n\"Answer: 5*k**2 + k + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -0.274\nAnswer: 0.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 252, 243, 224, 189, 132, 47, -72?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5722?\nAnswer: 2, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u**4 + 2824*u**3 - 75968*u**2 + 117888*u + 562176 = 0. Calculate u.\nAnswer: -732, -2, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*i**2 - 55138022*i + 34*i**2 - 15*i**2 + 55138022*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes before 4:34 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -208.69 + -20.31. Let a = x + 228.5. Let n = -1 + 1. What is the closest to -2 in n, a, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 72 and 1062?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -2*g - 2*g - 28, 1 = -g - j. Is (g + 8)*586\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2443 or -2073?\nAnswer: -2443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 + 114. Calculate the remainder when o is divided by ((-420)\/(-18) - 5)*3.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yfyadydvvyyvyyv. What is prob of picking 1 v, 1 a, and 1 y?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -54 + 56 + (-2 - -1 - 5) + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3856072 (base 9) to base 5.\nAnswer: -1014311314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -3*y**2 - 4*y. Let z(f) = 24*f**2 + 33*f. Let q(n) = -n - 3*n - 1 + 5*n. Suppose 12*j + 15 = 7*j. Let i be q(j). Determine i*z(c) - 33*r(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15 (base 11) to base 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 69 - 7?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k**4 - 1476*k**3 + 8732*k**2 - 7260*k = 0. Calculate k.\nAnswer: 0, 1, 5, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -62*w. Let p = -8 + 7. Is 18 a factor of f(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*w**3\/11 - 8769784*w**2\/11 - 21047432*w\/11 - 7015808\/11 = 0.\nAnswer: -876976, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1096371?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -3*f, 4*f + 36 = 4*z + 20. Let p(j) = -5*j**3 + 4*j**2 - 8*j - 1. Let r(d) = 6*d**3 - 3*d**2 + 7*d + 1. Let q(s) = -5*p(s) - 6*r(s). Give q(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 5*j + 22, 2*j - 5*v = 308 - 310. Let y(d) = -4*d - 4. Let u(k) = -3*k - 5. Give j*y(l) + 5*u(l).\nAnswer: 9*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*v, 4*c - 5*v + 0*v = -35. Let w = 3 + c. Let a be ((-2)\/(-1 - w))\/(-1). Solve -a*g - 3 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -32, 15, 92, 193, 312, 443, 580?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 813 (base 14) to base 11\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and -6079.671525.\nAnswer: -6078.671525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b - 44b56?\nAnswer: -44b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38722942 divided by -12763.\nAnswer: 3034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 66498191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -225 - -225.2. Let p = -0.1 + -0.9. Which is the nearest to p?  (a) s  (b) 3\/4  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -108*h**2 + 15*h. Let q(v) = -v**2 + v. Let p(m) = j(m) - 4*q(m). What is the second derivative of p(y) wrt y?\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -10 and 835405.2.\nAnswer: 835395.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -241*d = -5*y - 247*d + 8, 2*d = -2*y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 117*m + 372 - 315 = -528 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2066 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 771443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 + 6*a**2 - 6*a + 10. Let g be n(-7). Suppose g*k - 10 = -7. Let f be 8\/(-70)*(-14)\/(-12). Do f and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11157*s = 11152*s + 3*o + 37, 3*o = -3*s - 45 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 - 12*d**2 - 10. Let a be o(-12). Let h(m) = m**3 + 11*m**2 + 11*m + 14. Let w be h(a). Solve k = -w + 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 18, v: 2}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 13804 and 41412?\nAnswer: 41412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 2*a**2 - 25*a + 84. Let i be t(4). Suppose 10*c + 6 = i*c. Solve -4*w - 2*g - 17 = g, -c = -g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -s + 55*s**2 + 120*s**2 - 2*s - 56*s**2 to the form o + m*s**2 + q*s and give m.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.009402644294 rounded to 7 dps?\nAnswer: 0.0094026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 8*p**2 - 2*p**2 - p**3 - p**2 + 3. Suppose 10*o - 17 = 7*o - 2*h, 21 = 5*o - 4*h. Let v be y(o). Solve -v*q - 6 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/42?  (a) 1\/9  (b) 5  (c) -163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/4295376 and -31\/108.\nAnswer: 4295376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -1. Let q(a) = 4*a - 7066 + 3536 + 3540. Let i(t) = 3*t - 1. Let d(f) = 2*i(f) - q(f). Let u be 5\/(2*1\/(-4)). Give u*n(s) + d(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 1521  (b) 5\/61  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/6  (b) 1  (c) -5158  (d) -2\/9  (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 - 12 = -2*f - 0*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.12 in -0.4, 1\/387, -4\/13, 10, -2?\nAnswer: 1\/387","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from xdddddddxdxdxddddv?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1709 is divided by 1490?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 126 + -123757?\nAnswer: -123631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -568777 + -3?\nAnswer: -568780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-w - 8*w - 15*w)*(1 - 4 + 2) + (0 + 1 - 3)*(32*w + 6*w - 7*w)*(0 + 4 - 5) to the form j*w + p and give j.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 13) + -34 + -31 + 81\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.33 + -0.43. Sort -1\/6, c, 0 in decreasing order.\nAnswer: 0, c, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/(2\/8*4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3374794147*u**2 + 3374794158*u**2 - 6749588303*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 663381.552 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -797008 divided by 398504\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2 - 1318*k + 9128.\nAnswer: 2*(k - 652)*(k - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 16*d + 66. Let l(n) = -11*n - 44. Determine 5*k(g) + 7*l(g).\nAnswer: 3*g + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 220 and 94567550?\nAnswer: 189135100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q + 908565 - 908565.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2cf95 + -1ca?\nAnswer: -2d15f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*y + 0*y + 8*y - 3*y - 8 - 2 as o + h*y and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 244339.1 - 2234224.1. Let a = 1989889.099956 + l. Let i = a - 4.1. What is i rounded to 6 decimal places?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 PM and 10:03 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -25 + 52. Let n(a) = 8818 - 8818 + c*a**2. Let m(g) = -g. Determine m(n(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*x + 9*x - 2*x + (6*x + 3 - 3)*(4 - 1 - 6) + 2*x - 4*x + 3*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -630, 0, 5, -3 in decreasing order.\nAnswer: 5, 0, -1, -3, -630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 11:22 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + 41*p = 5*p + 429 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1458 is divided by 122.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c = 13*c - 255. Let j be 17\/c - 0\/(-1). Is j >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -129*i**2 + 124*i**2 + 2*i**4 - i**4 - 1 in the form x*i + t*i**2 + l*i**3 + w*i**4 + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the first derivative of d**4\/4 - 5*d**3\/3 + 2*d**2 + d + 23. Calculate r(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of a**4\/8 - a**3\/3 - a**2\/4 + a + 1. Factor q(r).\nAnswer: (r - 2)*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**3*h*h)\/h)\/h*h*h*h*h\/(h**1\/h)*h)**(-4\/7)*(h**2)**(-1\/9)*(h**(1\/2))**(-6) assuming h is positive.\nAnswer: h**(-491\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 AM and 2:01 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6482*i**3*n - 9*i**3 + i**2*n + 9*i**2 + 38481*i - 22*n wrt i?\nAnswer: 38892*i*n - 54*i + 2*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-14)\/(-8) + -2 + 0. Let c = -111.022 - -111.6. Let m = -1.578 + c. What is the second biggest value in i, 1\/4, m, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, l: 1, s: 2}. What is prob of sequence sl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*m - 243*m - 1946 - 308 = 0 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20 - -11212211?\nAnswer: 11220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 = 4*h + 3*t, 4*h - 71 = 2*t + 15. Let c = h + 4. Solve -g + 4*y = -y - c, 4*g - 2*y = 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 - 6 - 319*u + 23 - 292*u - 15 + 470*u.\nAnswer: -141*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of -5*k**4\/6 - k**3 + 12*k**2. What are the prime factors of s(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -37 + 61. What is the greatest common divisor of k and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 62585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28732616.\nAnswer: 2, 11, 79, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**4\/15 - 2*t**3\/3 + 2*t**2\/5 + 6*t\/5.\nAnswer: 2*t*(t - 3)**2*(t + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*w + 2560 = -61*w. Let m = 9036\/7 + w. Factor -16\/7*v**4 + 2\/7*v**5 - m*v**2 - 16\/7 + 8*v + 50\/7*v**3.\nAnswer: 2*(v - 2)**3*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of 1\/4*c**4 + 0 + 0*c**2 + 2\/3*c**3 + c. Find the second derivative of d(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/193, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -121023 (base 4) in base 12?\nAnswer: -b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 5 + 1. Suppose 0 = -s - 1 + h. Let t be s*((-1)\/(-5))\/((-1)\/(-5)). Sort -1, t, 2 in increasing order.\nAnswer: -1, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**3 + 3*a**2 + 5*a + 1. Let o be d(4). Let q(f) = f**2 + 1. Is q(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 + x - 10. What is d(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 202 + -198 - ((4 - 2) + 6) - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2376 and 10152.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/12*1 + 1. Suppose -7 = 2*u + 5*w, 5*w + 0 - 2 = -3*u. Let t be ((-2)\/(-6))\/((-3)\/u). What is the smallest value in t, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/17 or -652674?\nAnswer: -652674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 8c (base 14) to base 11\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one fifteenth of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -27 + 29. Let l(o) = -o**2 - o + 1. Let f be l(m). Let h = f - -10. What is the highest common divisor of h and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -10, 83, -3616, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 58288 + -33174. List the prime factors of u.\nAnswer: 2, 29, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*j**4 - 14*j**3 - 125*j**2 - 9221*j wrt j?\nAnswer: 24*j**2 - 84*j - 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 471 + -119819?\nAnswer: -119348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/(4704\/(-12304)) - (-33)\/(-462).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (27 + -5)\/(6\/21)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y - 5*y + y)*(-25 + 84 - 394)*(0 - 1 + 9).\nAnswer: 5360*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 15 = 6*o. Let x = 47 - 47.1. Which is the closest to x?  (a) 0  (b) o  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 85\/34*2*2\/(-15). Let z = 1 + -1.5. Which is the nearest to m?  (a) 1  (b) z  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 * 38.9\nAnswer: -194.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 74\/5 of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9\/10 in -7, 5, -4233?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -140403 (base 7) to base 12\nAnswer: -13496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/(-42)*(-130858)\/2876?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6\/(-15))\/((-3)\/(-5)). Let t = 95 - 94. What is the second biggest value in x, t, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 50 divided by -2182\nAnswer: -25\/1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -6. Suppose -4*v - w = -8, -p*v + 3*w = w - 14. Factor d**2 + 0*d**4 + 2*d - 2*d**4 - 2*d**v + d**2.\nAnswer: -2*d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 46.9 - 45. Let i = -48.1 - -45.2. Let u = a + i. Sort 4, -1\/11, u in descending order.\nAnswer: 4, -1\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 3044 = -d, 4*b + 2*d - 5*d = 6108. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12*i*u**3 - 29*i - 28*u**3 - 4*u**2 wrt i.\nAnswer: -12*u**3 - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*u = 45*u - 1898. Let p = 19 + -59. Let m = u + p. What is the remainder when m is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42164541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 454 + 3128 = -3498120*a + 3498264*a - 2178 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 - 41 = -3*z. Suppose -p = -3*o + 1456, -3*p = -6 - z. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.161739766*-0.4\nAnswer: -0.0646959064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.09 * -0.0339.\nAnswer: -0.003051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-50)\/(-20)*4\/5. Suppose g*m - 214 - 10 = 0. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 21\/4 + (-1)\/4. Suppose -u + f = -6, -7 - 2 = -r*u - 2*f. Let a = u - 1. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 12:28 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002028856 to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -44534 - -9619309\/216. What is the common denominator of m and 10\/9?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - l - 170256 = 0, -5*v - 32041 + 315808 = -4*l. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 8*q + 16. Let z be n(-2). Which is the second smallest value?  (a) z  (b) -3  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 41 * -1234812.\nAnswer: -50627292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 645?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 552 times -125.7826\nAnswer: -69431.9952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 7:46 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 858975508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = n + 11, -4*n + 5*n = -5*c + 17. Solve 0 = -c*q - 2*k - 14, q - k = -q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 - 1. Let r(c) = 6*c**3 - 4*c**2 + 14. Determine 4*b(n) + r(n).\nAnswer: 6*n**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 2*g - 8 = 0, -g - 4*g - 52 = -3*f. Solve 3*v - f = -0*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*v - 5, 0 = 4*k - 2*v - 106. Let p be ((-128)\/(-20))\/(-8) - (-2945)\/k. Solve -p*t + 122*t - 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -64 (base 10) to base 8\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(99) + -4 + 2.\nAnswer: -2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15338\/23 - -22208159\/33304. Calculate the common denominator of k and 37\/22.\nAnswer: 15928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-76)\/(-57))\/(4\/18) - 4. Let b(o) be the first derivative of 0*o**a - 3 + 5\/3*o**3 + 2*o. What is the first derivative of b(w) wrt w?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-18))\/((-14)\/21)*1620\/(-1296)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 - w - 6. Let n be l(-3). Let u(b) = -b**3 - 11*b**2 + 12*b + 3. Let g be u(n). Solve -5*y - 4 = -g*y + c, c + 3 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8495)\/35 + 3 + 5\/(-1). Let y = 25408\/105 + u. What is the common denominator of -37\/11 and y?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/((z**(-2)*z*z)\/z*z)*z**(-2)\/z*z*z*(z*z*z**(-8\/5)\/z)\/z*z**(-2) assuming z is positive.\nAnswer: z**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 48\/65 and -13\/40.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, a: 3, x: 3, q: 6, t: 1, s: 1}. What is prob of picking 1 a, 1 t, and 1 x?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 1 - 49 = 0. What is the highest common factor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 507 = -4*q + 2*k + 501, 3*k - 13 = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(15)\/sqrt(3) + sqrt(45) + 4.\nAnswer: -1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1553, 1549, 1545, 1541, 1537?\nAnswer: 1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 + 6*d**2 + 3. Let k be z(-6). Let t be k\/2*-2 - -7. What is the first derivative of -q**t - 5*q**4 + 2*q**4 + 2 wrt q?\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 122 - (3143 + -3074)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 2*t**2 - 4*t + 7. Let s(u) = -u**2 - u. Let r(q) = b(q) + 3*s(q). Let m be r(-7). Let o(f) = -f + m*f - 5*f. Let w(x) = x**2. Give o(w(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, t: 4, l: 1, s: 1, i: 8}. Give prob of picking 2 i.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 841*a*i + 2*a*n**2 + a*n - i*n**2 - 449*i wrt a.\nAnswer: 841*i + 2*n**2 + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j + 14 - 22 = 0. Let q = -266 + 270. Which is the closest to j?  (a) 1\/7  (b) 4\/9  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8531601*w - 7810945 with respect to w.\nAnswer: -8531601","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1377) + (sqrt(1377) + -2 + -4 - sqrt(1377) - sqrt(1377) - sqrt(1377)) + -4 - (2*(-1*sqrt(153) + sqrt(153)))\/(sqrt(36)*-1 + sqrt(9)))**2.\nAnswer: 180*sqrt(17) + 1477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the first derivative of 5*l**2\/2 - 6*l + 8. Let q(p) = 9*p - 11. Calculate -7*o(s) + 4*q(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j. Let n(y) = 4*y + 19. Let o(p) = -5*b(p) + n(p). What is the remainder when o(11) is divided by (-14)\/4*(-24)\/42?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 736\/32 - 27 - 25.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 7*g. Let y(t) = 2*t**2 + 85 - 85. What is y(u(c))?\nAnswer: 98*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 133, 5, 11, -82, -1, 2 in increasing order.\nAnswer: -82, -1, 2, 5, 11, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 233916427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -200 divided by -4\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1495 + -1356. What is the lowest common multiple of 1 and r?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c - c - c**3)*(-1 + c + 1) - 2*c**4 + c**4 - 2*c**4 + (-6*c**4 + 17*c**4 + c**4)*(13 - 54 - 31).\nAnswer: -868*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 4*y + 12. Suppose 0 = -y*z - z + 10. Find the third derivative of 0*d**z - 5*d**4 + 5*d**2 - 2*d**2 wrt d.\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ymj when three letters picked without replacement from {x: 5, m: 4, j: 1, y: 1, l: 4}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 129 + -145. What is the least common multiple of 9\/((-36)\/25)*y and 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 - 10*i**2 + 11*i + 3. Let r be o(-11). Suppose r*n = 2*n + 25. Suppose -2*x - 28 = -b - 3*x, -5*x + n = 0. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3275720*m**4 + m**3 - 8514573*m**2 + 2 wrt m.\nAnswer: -78617280*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2450 - 2382. What is the remainder when i is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the first derivative of -5*v**4\/12 - 10*v**3\/3 - 15*v**2\/2 - 22*v + 51. Let m(u) be the first derivative of f(u). Factor m(p).\nAnswer: -5*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1324 - -1343 - (4 - (1 + 0))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 22640919?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -364000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 12\/11  (b) 18  (c) 2  (d) -1.82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*c*c\/(c\/(c**(-1\/31)\/c*c))*c*c\/c**(-11)*c assuming c is positive.\nAnswer: c**(495\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -384 divided by 48\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 140717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -12 + -11 + 51 - 58.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -8. Suppose -d*p + 15 = -2*p. Solve -p*y - 31 = -6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14189085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34, -106, -306, -700, -1354?\nAnswer: -2334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.53 + -0.07. Let t = 3 + j. Let h = 3 + 1. Which is the smallest value?  (a) t  (b) 3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:26 AM and 4:20 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 6*h. Let i(q) = 31*q + 6. Determine i(v(s)).\nAnswer: 186*s + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3098 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 6113100 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/4)*s)**(2\/65)\/((s**0*s)\/s*s**(10\/11)))**10 assuming s is positive.\nAnswer: s**(-1267\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10743.98t in milligrams?\nAnswer: 10743980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 89 by 2.\nAnswer: 89\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22705 is divided by 1400?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3 + (6 - 3) + (-1054)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 495 - -390. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -6*w**2 - 3*w - 16. Let y(a) = -13*a**2 + 194*a - 17. Let b(x) = -12*x**2 + 161*x - 17. Let o(v) = -6*b(v) + 5*y(v). What is 4*d(p) + 3*o(p)?\nAnswer: -3*p**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 14 + (1 - -3*5\/15). Let p = -434 - -610. What is the greatest common factor of p and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3675238575 to the power of 1\/2, to the nearest integer?\nAnswer: 60624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-594)\/693)\/(7*33\/7007)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.12859 + -0.127. What is d rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -8*o + 55, -14 = -20*o + 18*o. What is the biggest value in 1\/4, -1.7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.103  (b) 1\/12  (c) 0.4  (d) 6829\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oi when two letters picked without replacement from {o: 1, s: 1, i: 1, q: 1, c: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 4*k**2 + 4*k - 2. Let q be v(-2). What are the prime factors of 99 + 2 + q + -4?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*(-3)\/2*(-41)\/(11193\/21)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5011234260?\nAnswer: 2, 3, 5, 83520571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 111, 1, 3, -20, 2, -5, 4 in decreasing order.\nAnswer: 111, 4, 3, 2, 1, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + -3 + (4*52)\/(-77 - -78). Let q be (136\/6)\/((-1)\/(-3)). Calculate the highest common divisor of q and i.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 5*g = 193, -199 = 13*w - 15*w + 3*g. Is 26 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (59644\/(-18278))\/(8\/(-76)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*i**3 + 5*i**3 + 9*i**3 + 6*i**3.\nAnswer: 22*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mrmm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -550111413*j**2 + 526525849.\nAnswer: -1100222826*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 205\/(-45) + (-4 - -9). Let i = -2108\/5 + 422. What is the biggest value in h, i, -3, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 AM and 2:46 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1523*f = -27345 - 9207 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 2*c**2 - 27*c + 72. What is g(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67689 is divided by 74.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/5)\/b)\/(b\/(b*b*b**2)) assuming b is positive.\nAnswer: b**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*t**2 - t**2 - 3*t**2 + (-6 - 2*t + 6)*(1 - 1 + 2*t) - 2*t**2 + 9*t**2 + 0*t**2)*((2 + 2 - 6)*(-t + t + 2*t) - 3 + 3 - t - 6*t + 0*t + 4*t).\nAnswer: 70*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-730)\/28*2 - 3642\/4249?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 + 70 = j. Suppose 2*y + 262 = 4*i, 0 = -5*i - 0*y + y + 329. Suppose m + i = 4*o + 6, -22 = -o + 2*m. Calculate the highest common factor of o and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2795\/8 or -348?\nAnswer: -2795\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 18\/450*-15 - (-268658)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from wzncccwzznwwcwzz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f + 6. Let h be p(-6). Let k = 13 - h. Let r = -8 + k. Solve 3*u = r*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 (base 7) in base 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -18a407 - 2a6?\nAnswer: -18a6b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 80 + -863. Let u = -3131\/4 - o. Let k be 2\/(-6)*18\/(-16). Which is the second biggest value?  (a) u  (b) -4\/5  (c) k  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 207058*k - 207060. Determine n(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - -2. Let y be 1*28\/(-8) + j. Which is smaller: y or -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n**2. Let g be u(-1). Suppose 0 = g*c - 6*c + 20. Suppose 2*b + 11 = 5*o - 9, -c*o = b - 20. Solve -2*y - y - 3*p = b, -4*p + 4 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4981 and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -96200000 rounded to the nearest one million?\nAnswer: -96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 + 1 - (697 + -723)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -172\/255 in -13, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/5  (b) -14  (c) 9  (d) -0.2  (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 31822 + 0.755973?\nAnswer: 31822.755973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.55 + 5.65. Let y = -9.8675 + 2.68. Let l = h + y. Round l to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 0.3, 29, -3\/5 in descending order.\nAnswer: 29, 0.3, 2\/9, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 748769.1us?\nAnswer: 748769100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - (-42)\/18)*6. Suppose d*l + 8 = 12. Calculate the remainder when 2 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4587162 and 9?\nAnswer: 13761486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8 or -265\/33?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a + 5. Let q(p) = -20. Determine -20*m(i) - 5*q(i).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -1. Let w(m) = 8 + 120*m**2 - 126*m**2 + 81*m**2. Let h(n) = w(n) + 4*z(n). What is the first derivative of h(x) wrt x?\nAnswer: 150*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 + 9*o**2 - 11*o + 9. What is the tens digit of r(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-35)\/119 + (-33852)\/(-60996).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/7 in 5, -0.005, 7, 1?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -28*c**3 + 2*c**2 - 3*c + 2. Let n(r) = -27*r**3 + 3*r**2 - 4*r + 2. What is -5*m(x) + 4*n(x)?\nAnswer: 32*x**3 + 2*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: -5832874 divided by -2916437\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, 3, 1 in ascending order.\nAnswer: 1\/7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 7, q: 5}. Give prob of sequence xqq.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-340)\/(-24) - 364\/312. Solve 3*r - v = -28 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r - 5. Let y be t(-8). Suppose 0 = -0*i + y*i, -m + 5*i + 625 = 0. Suppose -7*p = -12*p + m. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f**3 - 50*f**2 - 171*f - 160. What is i(-17)?\nAnswer: -1877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and 146.8?\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -749, -747, -751, -767, -801?\nAnswer: -859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t = -2*t. Suppose t = 2*k - 11 - 33. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107743695 to the power of 1\/2, to the nearest integer?\nAnswer: 10380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 16 - 134?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 8082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2242159, 2242153, 2242147, 2242141?\nAnswer: 2242135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/7 in -0.3, 1\/15, -0.013?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80662.\nAnswer: 2, 31, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*a - 4*m + 24 - 64, 8 = -m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -9*x - 28. What is the lowest common multiple of 32 and d(-8)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 443 and 113851.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/(-21) - (-12)\/(-7). Let a(k) = -k**3 - k**2 + 4*k + 3. Let r be a(p). Let s(l) = -10*l**3 + l**2 + 2*l + 1. Is 8 a factor of s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -4*x - 148, 0*b = 4*b - 3*x - 152. Let o = b + -31. Calculate the least common multiple of 2 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 20553353*n - 15880646 wrt n.\nAnswer: 20553353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*i, 58860 = -0*s + 2*s - 4*i. Let b be s\/(1\/1) + -1. Suppose -5*u - b - 18073 = 0. What is u rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -14*o**2 - 14*o + 14. Let j(k) be the third derivative of -k**5\/12 - 5*k**4\/24 + 5*k**3\/6 + 3*k**2. Let c(g) = 11*j(g) - 4*r(g). Determine c(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**3 - 16*c**2 + 15*c + 7. Let w be k(15). Solve -5 = 3*u - y, y = 3*u - w*u - 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 535679 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - 3 + 5*x - 5*x)*(-4*x**2 + 108*x**2 + 45*x**2) + 3*x**3 - x**3 - x**3.\nAnswer: 150*x**3 - 447*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 3*s = -2*h - 420, s = 4*h - 343. Calculate the remainder when h is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9330 is divided by 1682?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/(32\/(-10))*10\/(-175)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 2*p**3 - 2*p**2 - 100*p - 96 = 0?\nAnswer: -6, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180)\/(sqrt(6)*2))\/(sqrt(6) - -4*sqrt(54)))**2 + (3*((-1 + sqrt(405))**2 + sqrt(405)) - ((sqrt(15)*1)\/sqrt(3) + sqrt(5))**2*-5).\nAnswer: -27*sqrt(5) + 890973\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 21\/4 + (-33)\/(-44). Let x(t) be the third derivative of 3*t**4\/8 + 11*t**3\/6 - 73*t**2. Let l(b) = -4*b - 5. Calculate q*x(n) + 13*l(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q - 6. Let g be s(4). Suppose -31 = g*x + 89. What are the prime factors of 8\/x*3*-20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30 and 13775120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4 - -2)\/(-2)*2. Let k(l) = 0*l + 3*l - 2 + 9 - p*l. What is the units digit of k(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(-3\/2)\/r)\/(r\/(r*r*r**(1\/7)*r*r*r)))\/(r*r*r\/(r\/(r*r\/(r*r**(-3))))*r**6) assuming r is positive.\nAnswer: r**(-131\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 197479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 43. What are the prime factors of p?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 - 27 = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -382\/11 or -35?\nAnswer: -382\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 44 - -1a?\nAnswer: 5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -4*u**3 - 86*u**2 + 12*u + 62. Give d(-21).\nAnswer: -1072","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q + 233 = -637. Let u = q - -170. Suppose 2*l + u = -2*h - 3*h, l + 20 = -5*h. Which is the second biggest value?  (a) h  (b) -2  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (133 - 82 + 179)*(t**2 - 2*t**2 + 0*t**2)*(5*t - 5*t + 3*t).\nAnswer: -690*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from edeoodeeododededed. Give prob of sequence oeo.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - -1) + (-14 - -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -31 + 15. Let j = q - -15.8. Which is the nearest to 2\/7?  (a) -0.1  (b) j  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x**(2\/57)*x))\/(x*(x\/(x\/(x\/x**(1\/11))))\/x)*x**(-7\/2)*x**(-4) assuming x is positive.\nAnswer: x**(-11843\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -25*r**4 - r**6 - 32*r**4 - 48*r**2 + 48*r**4 wrt r.\nAnswer: -120*r**3 - 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -373\/2925 - -8\/65. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 24 = -26 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -470*j - 2*r + 1818 = -524, -15*r + 19 = 3*j - 16*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 3*n**2 - 25*n - 28. Suppose 80*s - 63*s = 121 + 32. Calculate f(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (19*k**2 + 34*k - 33*k - 7*k**2)*(-1 + 0 + 3 + (-3 - 1 + 3)*(-1 + 1 + 3)) as l*k**2 + i*k + m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-5) - 168\/345. Suppose 2*s - 6*s = -5*z - 33, -8 = 2*z + s. Let t be (-1 - z) + 16\/(-4). Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1056, 1421, 2114, 3135, 4484, 6161?\n\"Answer: 164*x**2 - 127*x + 1019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11624*v**3 + 42*v - 14385*v**3 - 2107*v**3 - 42*v.\nAnswer: -28116*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c. Let b be h(-3). Let w(d) = 11*d - 2. Let l(p) = 22*p - 4. Let j(m) = -6*l(m) + 13*w(m). Let a(n) = -5*n + 1. Determine b*j(t) - 7*a(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 7*l + 235. Determine i(-34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 + 1. Suppose z = d - c, 3*d + 4*c - 19 = 35. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 12 = -3*m, 0*z = -3*z + 3*m + 6. Suppose -1 = -s - 3. Put z, s, -5 in increasing order.\nAnswer: -5, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17136 = -8*m - 10*m. Is 28 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 29748.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*w - 17*d - 100 = w, -18 = 229*w - 226*w + 4*d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -y - s, -2*s = y - 2*y - 7. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the third derivative of -z**6\/60 + z**5\/10 + 3*z**4\/2 - 82*z**2. Factor u(c).\nAnswer: -2*c*(c - 6)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 150360\/216 + (-1)\/9. What is the greatest common divisor of v and 1914?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 0*f - 1 = 0. Let n be f\/(2 + 57\/(-27)). Suppose j + 3*a - n = 0, 4*j - 5*a - 19 = -0*j. Is 4 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 440*y**2. Let k(c) = -58641539 + 58641539 + 38*c**2. Determine f(k(r)).\nAnswer: 635360*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8325?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = l - 77 - 40, 2*a + 246 = 2*l. Suppose -3*s + 8*s = 355. Let n = l - s. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -14*x - 375. Let w be r(-27). What is the least common multiple of 144 and (-2)\/(((-9)\/(-60))\/(w\/(-2)))?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 31295 - 58295. Round w to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 6, z: 2}. Give prob of picking 2 z and 1 p.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 34*j**2 - j. Let s be y(2). Suppose s = 5*u + h, -u + 3*h = -37 + 7. Suppose f + 3*f = 5*w + 1, 0 = 3*f + 5*w - u. Put f, 3, 7 in increasing order.\nAnswer: 3, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12 + 13. Let q = 20.9 - 20. Let g = o - q. What is the third smallest value in -0.1, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -7319, -15428, -24327, -34016?\n\"Answer: -395*r**2 - 6924*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 2645*s - 216890. Let q be n(82). Factor 15\/7*m**2 + 1\/7*m**3 + q*m + 0.\nAnswer: m**2*(m + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 297831728 to the nearest 10000.\nAnswer: 297830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12\/19 + 2\/57. Put t, 5, 0.09, -2 in increasing order.\nAnswer: -2, 0.09, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes before 12:27 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 14\/(-6) + (-6)\/9. Let t(q) be the first derivative of q**4\/12 + q**3\/2 + 3*q**2\/2 - 94*q - 4. Let n(z) be the first derivative of t(z). Calculate n(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 9 = -5*x + 5, -2*x = -3*u - 10. Let m be 19\/(-22) - (-1)\/x. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + j - 7 - 7 = 0, 0 = 2*j - 10. Let v = -21 + 53. Suppose 0 = 5*x - 3*l - 58 + 21, v = 4*x - g*l. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of -1183*k**4\/18 - 104*k**3\/27 + 304*k**2\/9 + 128*k\/9 - 2189. Find r such that w(r) = 0.\nAnswer: -4\/13, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -8, 0, -2 in increasing order.\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.03015 + -0.03020531. Round a to 6 dps.\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -293992*o. Let r(u) = -3*u. Give c(r(a)).\nAnswer: 881976*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 875627703?\nAnswer: 3, 97291967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 332 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2982211345.\nAnswer: 5, 59, 101, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(-8)*-2 - 45\/(-20). Suppose g*x + 9 = d, 2*d = -2*d - x. Let h(s) = 7*s**3 - 3*s**2 + 4*s - 2. Let y be h(d). Solve -9 - y = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -18*k**2 - 2*k - 30. Let u(h) = -h**3 - 6*h**2 - 1. Let c be u(-6). Let i(l) = l + 1. Let w(m) = c*a(m) + 3*i(m). Is w(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -27 + 29. Solve 0 = -p + h + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -284\/325 + 78317\/77350. Find the common denominator of -79\/8 and o.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/16 and 61\/4888?\nAnswer: 9776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 2*l - 1614 = 0, 16*y - 12*y = -3*l + 1599. What is the remainder when 2816 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66794912?\nAnswer: 2, 149, 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 AM and 5:08 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, 181, -3 in decreasing order.\nAnswer: 181, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 884.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 705  (b) -3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 161308646.\nAnswer: 2, 431, 187133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-1*(2*sqrt(325) - sqrt(325)))**2*-4 - ((sqrt(325) + -4*sqrt(325))*-3 - (-1*sqrt(325)*2 + sqrt(325)))**2.\nAnswer: -29900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -14.3\nAnswer: -14.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 105 - 3 - (0 - 3). Suppose c = -2*c - z. What is the smallest common multiple of 10 and 12\/7 - 10\/c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 43833572 by -2.\nAnswer: -21916786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 - 0.1249.\nAnswer: 0.0751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d**3 - 12*d**2 - 5*d - 19. Give r(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 23179777?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of 0 + 1\/20*a**5 - 1\/2*a**2 - 4*a - 1\/6*a**4 - 1\/3*a**3. Let m be b(3). Solve 5*d = -17 + m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 553\/(-21)*(42 - (2 + -2)). Let b = 8 - l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/26020 and -53\/20816.\nAnswer: 104080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(1 + (-3*sqrt(3300))\/sqrt(176)).\nAnswer: -30*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-78 - (-385)\/407) + 77?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 3 + 2 - 2 - 1 + 0 - 2 + 0 + (-4 + 5 - 2)*(4 - 4 + 1) - 1 + 2 + 0)*(-3 + l**2 + 3).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1367104645 + 4?\nAnswer: -1367104641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - -4. Let q(v) = v**3 - 7*v**2 + v - 4. Let u be q(p). Solve -13 = u*z - 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 4*i + 16. Let g be o(-3). Let b(c) = -c + 10. Determine b(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of s**3\/12 + s**2\/4 + 2. Factor c(u).\nAnswer: u*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.3 + -0.4. Which is the smallest value?  (a) j  (b) 1  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -38 (base 14) to base 5.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 44080, 44939, 45798?\n\"Answer: 859*b + 43221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27927 divided by -454.\nAnswer: 27927\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 36*d + 44*d - 80*d + 104*d**2 + 71*d**2 in the form a*d + o + w*d**2 and give w.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 11\/(-1) + 1*2. Does 8 divide 148\/18 - (-2)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32, -4, -56, 2, 5 in decreasing order.\nAnswer: 5, 2, -4, -32, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/o**(-3\/2)*o**2)\/(o\/(o\/(o\/(o\/(o**(2\/9)\/o))))*o**(6\/11)\/o) assuming o is positive.\nAnswer: o**(1333\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6427239 + 3?\nAnswer: -6427236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 12775, 13153, 13781, 14659, 15787, 17165?\n\"Answer: 125*r**2 + 3*r + 12647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -33312 + 13?\nAnswer: -33255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2362 + 7104 + r - 2386 - 2356 + 4*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -6963514 divided by 2\nAnswer: -3481757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -14773766 divided by 1055269\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-8)\/(-10))\/(7\/(-35)). What is the biggest value in p, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88) - 2*sqrt(88)*-3) + sqrt(88))\/(sqrt(32)*-5).\nAnswer: -4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -10*s**3 - s - 2. Let q(d) = -d**2 + 13*d - 23. Let w be q(11). List the prime factors of l(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9.61 - 3.31. Let r = x - -0.7. What is the nearest to 0.1 in 0, -1, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*f + n, f - 3*f = -5*n - 28. Suppose -1639 = -6*d + 5*d + 2*i, 0 = 5*d + f*i - 8181. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 + -2 + -5 - 8) + 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 884.7587 millennia?\nAnswer: 88475.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/5)\/z)\/(z\/(z*z**(-4\/5)))*(z*z**(-9\/4))\/z*z\/(z**(-3\/8)*z*z) assuming z is positive.\nAnswer: z**(-203\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 127, 312, 499, 688?\n\"Answer: a**2 + 182*a - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/5*50\/(-15). Is -4 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1680.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 - (1 + (3 - 3)). Let x = z - -2. Let f(u) = u**3 - 25*u**2 - 24*u - 52. Let c be f(26). Solve c = 2*m + 8 + x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, 24, 104, 272, 558?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -23.3352808 rounded to zero dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5336*p**6 - 2148*p**2 wrt p.\nAnswer: -640320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 22 = 5. Let l = g + 17. Let b = l - 7. Solve 3*v + 11 + b = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 + (-8 - -29) + -5 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-22)\/55 - 104\/(-10). Let u = q + -31\/3. Let y = 1.9 - 6.9. What is the nearest to y in u, -4, -1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -20*y - 132931 + 132111 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 - 1)*(1 - 4*x**3 - 1 + (2*x**2 - 4*x**2 + x**2)*(2*x + 0 + 0) - 30*x**2 + 14*x**3 + 30*x**2).\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78*r**2 + 73*r**2 - 160*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(1 + 3\/(-9)). Suppose -4*k = -5*u + 17, 5*k = 5*u - 24 + m. Let q be k + 1 + 48\/(-15). Which is the third smallest value?  (a) q  (b) 0.6  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of 0*n**2 - 17\/21*n**7 + 0 + 0*n**6 + 19*n - 1\/2*n**3 + 0*n**5 + 0*n**4. What is the second derivative of g(f) wrt f?\nAnswer: -680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 59016106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 26082 and 42?\nAnswer: 26082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -42.13 - -69?\nAnswer: 26.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 296 + -292. Sort a, 0.2, 5 in decreasing order.\nAnswer: 5, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -83 + 79. Let v = 28 + -28. Sort -5, f, v, 3.\nAnswer: -5, f, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9.4662 + -0.1438. Round h to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -32 bigger than -31381\/961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14 + 31. Let h = -19.2 + b. Let o = h + 2.20013. What is o rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 6*g - 2. Let s(d) = 5 - 8*d**2 - 18*d**2 + 5*d**2 + 2*d**2 - 3. Give k(s(w)).\nAnswer: -114*w**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -5*s - 26. Let z be r(-6). Let n = -43.105 - -0.105. Let k = n + 42.7. Which is the fourth biggest value?  (a) 2.2  (b) k  (c) z  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p - 4*p + 22*p**3 - 5*p**3 + 0*p**3 + 6 - p**2. Let n(x) = x - 1. Let d(a) = -5*n(a) - o(a). Suppose 0 = -2*j - 3 + 1. Calculate d(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-142455)\/6)\/(46\/(-92)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 1261 = -139. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1206661 - 13?\nAnswer: -1210004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18 + -10. Let i(x) = x - 7. Let b be i(d). Suppose 0 = -5*g + 11 - b. Solve -4 = -g*h - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 1 + 36\/(-8)*100\/75?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 8 = 0, 3 = -d + 2*b - 4. Let i = 359 - 362. Let h be 4 + (3 - d) + i. Solve -h*v + 20 = 5 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 15826 and 12380950?\nAnswer: 507618950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, -214, -1 in increasing order.\nAnswer: -214, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.05 - 0.95. Let d = 4 + s. Sort 2, d, 0.3 in increasing order.\nAnswer: 0.3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*z + 0*z - 9*z - 11*z to the form x + f*z and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -469*v**2 + 2*v**3 + 239*v**2 + 230*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l + l - 6*l - l**2 - 4*l - 4 + 4*l. Let h(s) = s**2 + 4*s - 1. Let z be h(-3). Determine a(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -467814 (base 9) to base 8\nAnswer: -1045356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24.2 - 26.64. Let z = -1.94 - n. Let s = 1.9 - -1.1. What is the nearest to z in -0.2, -1\/2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of 5*s**3\/3 + 2*s**2 - 4*s + 181. Let t(r) = 55*r**2 + 45*r - 45. Give 45*a(d) - 4*t(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*d*u*y - 15902*d*y**2 + u + 4*y**2 + 961*y wrt d.\nAnswer: 4*u*y - 15902*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2196 * -0.035\nAnswer: -76.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (88\/77)\/((-12)\/(-168))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 5 = d - 4, -b = -2*d - 7. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*a = -43*a - 80 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 4*k + 7 = v, 5*v - 5*k = 0. Let j be v\/(-4) + (-3)\/(-24). Which is the third smallest value?  (a) 2  (b) -3  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -752 - -755. What is the closest to 0.1 in s, -5, 0.3, -14.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2045736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 25 = 0, 32*n = -4*s + 29*n + 101. Solve -2*u + 39 = s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -4*g. Suppose 3*s - 13 = 5. Let r be 1 - s*8\/12. Let y(c) = 12*c. Let x(u) = r*y(u) - 8*z(u). Let w(k) = -2*k. Determine w(x(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the third derivative of j**4\/24 + j**3\/6 - 4*j**2. Let b be x(1). Let l(n) = n**2 + 2*n - 1. Let i be l(b). Which is smaller: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -185\/277 - -1\/831. Let s = i + 8\/5. Factor -32\/15*d - s*d**2 - 8\/15.\nAnswer: -2*(d + 2)*(7*d + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 2*f - 2. Let z be ((-3)\/(-5))\/(4\/f). Determine b, given that -16*b**2 - 14*b - 6*b**z + 4 - 2 - 6 = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 7 = -3*h - 4, r = 3*h - 4. Suppose -5*s + 88 = 4*m - 3*s, 2*s = -3*m + 64. Let p = m - r. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -4*w + 15. Suppose -3*i + 4*g - w = -1, -3*g = -6. Let p be ((-6)\/(-8))\/(2\/(-8)). Sort p, -1, i in descending order.\nAnswer: i, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/4 in 0.079, -2\/13, -32, 13.7?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + 1 + -2 - -1. Suppose t*f = 2*l - 0*f - 8, 3*l = 4*f + 10. Solve 3*a - l = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 + 8*x**2 + 5*x - 6. Determine p(11).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -10 + 5*k + 4 - 4*k. Let n(r) = 2*r - 11. Let x be n(10). Let t be q(x). Solve t*s = -2*s + 2*m, -18 = 4*s + 2*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 360109 is divided by 58.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6530590?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12312 - 12303. Solve -4*k = -3*z - 1 - a, -z = 2*k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 1.7, -17, -2834.4?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 4 = -4*h, 5*h + o = 4*h. Suppose 0 = -c - h*k + 10, -3*c - k + 42 = 1. Suppose -16*z + c*z + 138 = 0. What are the prime factors of z?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 209 and 2211704.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 - 80 = 30*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, -354, 1, 4.\nAnswer: -354, -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -125 and 17?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 27*h**2 + 25*h**2 + 10*h - 46*h**2 to the form w*h + k*h**2 + b and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 + 12*m**2 + 10*m + 41. Let v be n(13). Solve -v*w - 4*j = j - 4, -3*j - 8 = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19823.7 plus -0.4?\nAnswer: -19824.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -111030*v**5 + 1128*v**2 - 3733*v**2 + 111238*v**5 wrt v?\nAnswer: 12480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.7666 and -58.\nAnswer: 44.4628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*g + 9*g + 7*g - 247124. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -546003*d + 15. Let q be c(5). What is q rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5104 and 2992?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -5*l + 5 + 8*l**2 - 6*l**2 + 0*l**2. Let n(a) = a - 1. Let y(j) = b(j) + 5*n(j). Let c(s) = -2*s**2. What is y(c(r))?\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 12:02 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 10e12 (base 16) to base 14\nAnswer: 1b2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -108*m**3 + 2*m**2*s**2 + 2*m*s**2 + 25*m wrt m?\nAnswer: -648*m + 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -6 + 7*k**2 + 15 + 0 - 4*k**3 + 5*k - 3 + 3*k**3. Determine x(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5999 + 6212. What is the remainder when n is divided by 168?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1\/5642, 2, 1, 16, 0.06 in decreasing order.\nAnswer: 16, 3, 2, 1, 0.06, 1\/5642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 PM and 7:22 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*k**4 - 39*k + k**3 + 41*k + 2*k**4 + 2 to the form b*k**3 + q*k**2 + p*k + y + a*k**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00296465847 rounded to 7 dps?\nAnswer: 0.0029647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10 and 15310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2 - 22*z - 57. Let k be s(-7). Suppose 112 + k = 20*f. Solve -3*i - 21 = 3*d, 7*i + 1 = f*i - d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 26, 39, 52, 65, 78?\n\"Answer: 13*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 15*m**2 - 1. Let f be (-54)\/(-66) + 2\/11. Determine q(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence and when three letters picked without replacement from nddaaada?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 6*j - 3 = 3*g, 3*j = -3*g - 3. Let l be (-15)\/(-1 + j) + (5 - 5). Suppose -19*q + 428 = -l*q. List the prime factors of q.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2070*b*o**3 - 70*b + 1472*o**4 - 68253*o**2 wrt o?\nAnswer: -12420*b + 35328*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18882.\nAnswer: 2, 3, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/m**(-21))\/m*m**(-1\/15)*m*m*m)\/(((m**(-19)*m*m)\/m*m*m)\/(m\/(m\/(m\/m**(-1\/26))))))**50 assuming m is positive.\nAnswer: m**(79895\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - 14) + (0 - -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13 - 3. What is the remainder when 19 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 27*v**2 + 6*v + 13. Let q(y) = -y - 2. Give n(i) + 6*q(i).\nAnswer: 27*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -48.97 - -48.87. What is the biggest value in 5, 2\/13, -4\/5, c, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 125406286 is divided by 6550?\nAnswer: 6536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (0 - (5 - -2) - (9 + 3))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 - 8 = -5*h - 3*a, 5*h - a + 30 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23*(-56)\/(-10304) - (1 - (-245)\/(-232)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.04 - -403635204.\nAnswer: 403635204.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 x, and 1 c when three letters picked without replacement from cxwfwrwawf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1612451?\nAnswer: 1612451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3 and 636585.\nAnswer: 636585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 54191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -967 - -964.882. Let s = -0.118 - r. Put 6\/5, s, -0.3, 3 in descending order.\nAnswer: 3, s, 6\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63835753.\nAnswer: 63835753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3301, 13090, 29369, 52132, 81373, 117086, 159265, 207904?\n\"Answer: -h**3 + 3251*h**2 + 43*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-2)\/(-12))\/((-4)\/(-24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 12783 and 2.\nAnswer: 12785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, y: 3, e: 1, w: 2, o: 2, z: 2}. What is prob of sequence yei?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 + 10*y**2 - 3*y - 28. Let q be z(9). Suppose 2618 = -15*w + q*w. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -308 + 309.63. Let i = -1.53 + j. Suppose -16 = -4*z + 3*o, 5*z = -0*o + o + 9. Which is the nearest to i?  (a) -0.5  (b) 0.4  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(3\/8)\/q)\/(q*q*q\/q**2))\/(((q\/(q**(-5)\/q)*q*q)\/q)\/q**4)*((q**(-3)*q)\/q*q\/(q*q\/((q*q**5\/q)\/q)))\/((q**8*q)\/(q*q**(-2))) assuming q is positive.\nAnswer: q**(-125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2\/7  (b) -1\/7  (c) -0.1  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + 35 + -61 + -1 + 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1757, -1810, -1861, -1910, -1957?\n\"Answer: b**2 - 56*b - 1702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -2*q**3 + 5*q**2 - 2*q - 20. Calculate t(5).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9696 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-60*18\/(-1134))\/(2\/(-6))*210\/(-540)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-3))\/(x*x**7))**15 assuming x is positive.\nAnswer: x**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2032003 (base 4) to base 15.\nAnswer: -2a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*i**2 + i**2 + 5*i**2)*(4*i + 0 + 0)*(1 + 4 + 4).\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 31*m**2 - 4*m - 11. Let q(r) = -r. Let v(f) = 2*f - 22. Let y be v(13). Let i(g) = y*q(g) - t(g). What is the derivative of i(s) wrt s?\nAnswer: -62*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b8b0c5 - 13?\nAnswer: -b8b0d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*w**2 + 10 - 10 - 13 - 10.\nAnswer: -5*w**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -993 + 1471. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + (1 - (-3 + 4) - (-6 - -27))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**3 - 6*s**2 - 2*s - 6. Let g = -55 - -51. Let t be j(g). Let a = -16 - t. Calculate the remainder when 54 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1642, 9517, 29850, 68869, 132802, 227877?\n\"Answer: 1038*j**3 + j**2 + 606*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 80 + -79. Let y be (-2 + 4 - a)*(-1 + 6). Solve -i - 4*n = 0, 6*i + y*n - 15 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = -2*d - 4, 5*d = -47*t + 48*t - 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 2*s - 16613 = 0, y = 5*s + 1834 + 1484. What are the prime factors of y?\nAnswer: 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -4, -2\/11, 0.8, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y + 6*y - 1517*y**3 + 738*y**3 - 2*y + 739*y**3.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1390887 by 2.\nAnswer: 1390887\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -449*h - 140 = -453*h - 3*g, 0 = 5*h + 2*g - 175. Calculate the remainder when 276 is divided by h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + m = 5*y, -3*m = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sdsdsdss?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 131 divide 95839076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -82, -4, -142, 0, -24, -5 in increasing order.\nAnswer: -142, -82, -24, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 5\/6 of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9.074 + -9. Let q = 0.926 + l. Let z = -11.7 - -12. Which is the nearest to q?  (a) z  (b) 8\/9  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 75\/2?  (a) -77  (b) 1  (c) 0.1  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 28*p**3 - 2*p**2 + 1. Let m = 5 - 4. Is 9 a factor of w(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5106263573 to the nearest integer?\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 758333791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5633375549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 250 divide 1686056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**2 - 5*i - 5. Let h be k(-5). Let x = -0.9 + 0.5. Let z = x + 0.4. What is the closest to z in 0.1, h, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26499467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1040 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4 + (-3)\/6 + (-110)\/28. Let m = 0.05 + -4.05. Sort a, 4, m.\nAnswer: m, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -2, -8, 11, -4, 3, -4\/47, -1.6?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -25, 52, -4 in increasing order.\nAnswer: -25, -5, -4, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2*j - 120. Let s be r(61). Let t = 0.2 + 0. What is the nearest to t in s, 3, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9094020 and 74760.\nAnswer: 127316280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m\/m**(4\/7))*m*m**(-3))\/(m*m*m\/(m*m**4*m*m)*(m*m**(3\/4))\/m))**(-1\/26) assuming m is positive.\nAnswer: m**(-23\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**4 - 4*u**3 - 5*u**2 + 36*u - 36.\nAnswer: (u - 3)*(u - 2)**2*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5245, -10434, -15613, -20782?\nAnswer: -25941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-5)*t*t**(-6)*t)**(-6\/13)\/((t**(-7)*t**(-3\/2))\/((t**(-3\/5)\/t*t)\/((t**4\/t)\/t))) assuming t is positive.\nAnswer: t**(1307\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 2*y - 1. Let q(i) = -68*i - 102. Let o(c) = 6*n(c) + q(c). Let l be o(-2). Solve -u + 1 = l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of m**3*o**2 + 83778*m**3*o - m**3 + 2*m**2 + 253707*m*o**2 + 1 wrt m.\nAnswer: 6*o**2 + 502668*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1524000 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ajaaajjaaajaajaajaa. Give prob of picking 3 j.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4651624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 7\/(-1) + (-4830)\/(-115). Solve -20*u + v*u + 90 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 - 3*z - 3. Let g be d(-3). What is the hundreds digit of -1*5\/g - 1772\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31*q**3 + 6*q**3 - 3*q**3 + (19*q**2 - 1485*q + 1485*q)*(6*q - q - 3*q) to c*q**2 + z*q + i + f*q**3 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23055?\nAnswer: 3, 5, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 120165708?\nAnswer: 120165708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 3 + sqrt(275) + -2)**2 - (sqrt(275) + 3 + -5 + sqrt(275) + 5).\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -37 (base 16) to base 5\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**3 + 8*m**2 - 7*m - 2. Give p(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9751192307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -1053*y - 1055*y - 1052*y + 3163*y. Let i(b) be the second derivative of 10*b**3\/3 + b. Determine i(l(a)).\nAnswer: 60*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -5*p**3 + 4*p**2 - 174*p - 177. Let m be x(-1). Is m not equal to 275\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 6*f**2 - 2*f + 1. Let v be y(2). Let c = -12 + v. Calculate the remainder when 10\/(120\/(-102))*(-12)\/3 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 83 by -61325.\nAnswer: -83\/61325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 125, 181, 239, 299, 361, 425?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 4*y - 0*y - 1292, -5*y = w - 1616. Find the common denominator of 1\/27 and (0 - 33)*117\/y + 0.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*i = -14*i, 4*f - 6*i - 12 = -14 + 34 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9002878\/105 + 85741. Let m = 2\/21 + c. Suppose 0 = -z - 3 + 2. What is the third smallest value in -7, z, 0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 2 + f - 6*f - 4. Suppose -5*g = -8*g + 18. Let j(s) = -33*s + 3. Let t(h) = 17*h - 2. Let i(q) = g*j(q) + 11*t(q). Determine -3*i(r) + 7*y(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 7:46 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -r - r. Let h(u) = 8*u**2 + 3. Let v(k) be the first derivative of k**3\/3 + k + 12. Let f(t) = r*v(t) + h(t). Let q(m) = -m. Give f(q(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25922006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 720 and 27212760?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 34 + -23. Let k(x) = -11 + a + 2*x**2. Let i(r) = -6*r. Determine k(i(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 395, 435, 505, 605, 735, 895?\nAnswer: 1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 727106 is divided by 363329?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 0)\/(1566\/90)*6\/(-5)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence swp when three letters picked without replacement from pwsswwwwlllwqqswy.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -159 - -158.9807. Let u = 1.5193 + t. What is the second biggest value in -8, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 136 = 4*q - 4*p, 137 = 3*q - 2*p + 37. What is the remainder when 126 is divided by q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -576, -510, -350, -60, 396, 1054, 1950?\nAnswer: 3120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (231 + 172 - 296)*(3*q**3 + q**3 - 2*q**3)*(7 + 0*q**2 - q**2 - 4).\nAnswer: -214*q**5 + 642*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 - 96\/(-21)) + 12\/28. Suppose -12 = 4*m, 3*j + 3*m + q*m - 5262 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 + 16*s - 27. Let q be r(14). Solve 0 = 4*f + 21 - q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -31771 smaller than -31767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*i - 401. Let d = i - 91. What is the units digit of d - (-2 + -2 + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 189764905.\nAnswer: 5, 11, 313661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from gtttgtttttgttggttg?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 30990 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50142507 is divided by 330.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 4:15 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -1, 1\/4, 1\/8, -23, 0.34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 170628917?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*m**4\/21 + 1096*m**3\/21 + 1572*m**2\/7 + 2322*m\/7 + 1152\/7.\nAnswer: 2*(m + 64)*(2*m + 3)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 26 + 28. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 - -5. Let a be (-32)\/n + (-4)\/(-14). Let r(z) = -z**3 - 2*z**2 - z - 1. Let g(h) = h**3 + h**2 + h. Calculate a*g(l) - r(l).\nAnswer: -l**3 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/212177034 and -16\/1683.\nAnswer: 2333947374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 212, 2, -3, 3, 1\/3, -6 in descending order.\nAnswer: 212, 3, 2, 1\/3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -6 - 19\/((-133)\/126). Solve 5*p = -4*b - 3 - 2, 3*b + p = -d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.116 - -0.086. Suppose 2*l - 3*l - 5*c - 11 = 0, -4*l = 5*c - 1. What is the nearest to p in 0.1, l, -3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**4 - 3*p**3 + 5*p**2 + 3*p - 4 = 0. Calculate p.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20575*v**6 - 206*v**2 + 1?\nAnswer: 2469000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 91101*w**2 - 74296*w.\nAnswer: 182202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(21) + sqrt(21)*1*-2))\/(sqrt(280)\/sqrt(90)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3873 + -3707.9. Round a to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 216*a - 3368. Let f(n) = -n**2 - 428*n + 6737. Suppose 4*r = -2*z - 44, 12*r - z + 41 = 7*r. Let d(y) = r*w(y) - 4*f(y). Let d(g) = 0. What is g?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -872, 5, 3, -4 in ascending order.\nAnswer: -872, -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6.43 + -6.9. Let b = w - -0.456. Let x = b - 0.046. What is x rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s - 3*s + 3*s)*(-s + 6*s - 7*s) + 0*s - 3*s**2 + 0*s + 20*s**2 + 27*s**2 - 12*s**2.\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -434770, -869536, -1304302, -1739068, -2173834, -2608600?\nAnswer: -3043366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 201 + 202 = -5*x - 4*f, -80 = x + f. Let g = 2376 + -2251. Let b = x + g. What is the remainder when b is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/3)*o*o)**(2\/57)*(o\/(o*o\/o**13)*o*o)\/(o\/(((o\/((o**(3\/4)*o)\/o))\/o)\/o)) assuming o is positive.\nAnswer: o**(7727\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/4 + -1 + -5. Let r(c) be the second derivative of 11*c**5\/20 + 7*c**4\/12 + 2*c. Let g(k) = -6*k**3 - 4*k**2. What is a*r(y) - 7*g(y)?\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16183.49 - -16180. Let s = -13 - -9.4. Let i = s - b. Do -1\/3 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.09  (b) -1372  (c) -172\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-102)\/(-4) + 93 + -94)*8\/(-14). Let x be 1\/(4\/2 - 1). Suppose -9 = 3*c - 5*a, -4 = -c - a + x. Sort s, c, -1 in ascending order.\nAnswer: s, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1862537 a multiple of 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 141.0399 * -4\nAnswer: -564.1596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1310251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 11154269 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 67437413447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 858576549 - 11.1?\nAnswer: 858576537.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.3 - 0.8. Let g = 0.59 - s. Is g >= -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1132 and 904185?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/13, -1, 1\/346, -228, 1\/2 in increasing order.\nAnswer: -228, -1, 1\/346, 1\/13, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -691.6 + 695.6. Let z = 3.39 - 0.19. Let r = 3 - z. Sort 0.2, m, r.\nAnswer: r, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5547a (base 16) in base 5?\nAnswer: 42134211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 146096 divided by 18262?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-26)\/((24 - 29) + (10 - 6\/2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3377 is divided by 842?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 2*r. Let i(p) = -p + 242. Let t be i(r). Calculate the highest common factor of t and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2*u + 88. Is p(38) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-193014)\/(-1170) + (-1 - 1)\/10. Let n = -41270\/247 + m. Find the common denominator of 87\/4 and n.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - -1. Suppose s = -4*a, f + 4*f - 4*a = -10. Let q be -165*(2 - f) + 0. Round q to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*o - 2412 - 2457 + 4817 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 - 2*f - 36. Suppose -47 = -n - 4*n - 4*r, 5*n + 3*r = 44. What is d(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, l: 2, u: 4, c: 1, r: 2, i: 2}. What is prob of sequence crpi?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + (4 - 1) + -2. Let w be -5 + -2 + 2 + 4. Which is the closest to q?  (a) w  (b) -4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 698, 701, 696, 677, 638?\n\"Answer: -i**3 + 2*i**2 + 4*i + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 3*f - 10, -6 = 5*g - 4*f - 0. Let v be 3\/(-12)*2*g. Let n be v\/(-4) + 22\/8. Solve -n*m + 2 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 0. Suppose -3*j = j. Let n = j - z. Calculate the smallest common multiple of 14 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2001717, 4003432, 6005147, 8006862, 10008577?\n\"Answer: 2001715*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*q = -11*q - 3*i + 19, 0 = -4*q - 2*i + 26 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Which is the nearest to -2\/5?  (a) 5  (b) 1  (c) 12  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + t = -3*t + 86, 57 = 3*y - 3*t. Solve -3*n = 6 - y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -29395635, -29395640, -29395655, -29395686, -29395739, -29395820?\n\"Answer: -k**3 + k**2 - k - 29395634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25*7\/49 + 4 + 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/4  (b) -2\/15  (c) -2  (d) 2  (e) 0.1  (f) -507\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1650 and 11484.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**4 + 48*c**3 + 50*c**2.\nAnswer: -2*c**2*(c - 25)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:17 AM and 1:10 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the second derivative of 3*c**3 - 7*c**2\/2 - 14*c. Is g(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -4. Let l(j) = -j**3 - j**2 + 2*j. Let m(u) = 5*u**3 + 4*u**2 - 9*u. Let w(s) = i*m(s) - 9*l(s). Suppose w(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -4, 1790, 16, 5, 4 in decreasing order.\nAnswer: 1790, 16, 5, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (0 + -2 + -2 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70) - -2*sqrt(70)*-2)\/(sqrt(120)\/(sqrt(24)\/sqrt(2))).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 44 + 8 = 4*v, 5*l = 5*v - 80. Let n = l - -15. Suppose n*o = -0*o + 6, 0 = 4*m - 2*o + 24. Are m and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**2 + 3*r - 1. Let m(s) = -s + 2. Let z be m(6). Let h be a(z). Find the second derivative of -h*x**4 - x + 3*x + 5*x**4 wrt x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of -1\/24*y**4 + 0*y**5 + 1\/8*y**2 - 5*y + 1\/120*y**6 + 0 + 0*y**3. Solve z(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -21.1 - -21. Let u(t) = -t + 3. Let l be u(4). Which is the nearest to l?  (a) r  (b) 1\/5  (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0146346493 rounded to four dps?\nAnswer: -0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**2 - 13*x + 10. Suppose -6*d = -9*d + 21. Suppose 0 = -n - 3*z + 1, -4*n = -5*n + 5*z - d. Let r(v) = 4*v - 3. What is n*y(l) - 7*r(l)?\nAnswer: -2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 plus -22207551969640?\nAnswer: -22207551969639.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -545, -548, -563, -596, -653, -740?\nAnswer: -863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 10:14 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 179*k - 26. Let w(x) = 304*x - 44. Let u(s) = -22*q(s) + 13*w(s). Let m(d) be the second derivative of -2*d**3\/3 + d. Calculate u(m(r)).\nAnswer: -56*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.9502902 days?\nAnswer: 82105073.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -17.05455 and 113.\nAnswer: -1927.16415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1438 (base 9) in base 4?\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1295 from 74881.\nAnswer: 73586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 308370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -13084128, -26168247, -39252364, -52336479, -65420592?\n\"Answer: t**2 - 13084122*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**3 - 337660*d**2 - 20920505*d - 324193350.\nAnswer: -5*(d + 31)**2*(d + 67470)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((70\/21)\/2)\/((-2)\/(-6)). Suppose 2*o + 0*r = -c*r + 2165, -r + 1075 = o. Round o to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, 12135 in descending order.\nAnswer: 12135, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaahuaaaaeuhahuhda. What is prob of sequence dhe?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 61 and 4.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(-2) + 25\/(-2). Let g(q) be the first derivative of -q**2\/2 + 15*q + 852. What is the tens digit of g(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*w + 4*w + 3*w)*(-89 - 193 + 43) + 0 + 0 + 2*w - 11 + 11 + 4*w as g*w + s and give g.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 8 + -205?\nAnswer: -1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 22, 111, 246, 451, 750, 1167, 1726?\n\"Answer: 4*z**3 - z**2 + 64*z - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 1 = 2*w. Let f = -0.13 + -0.27. Let n = f + -0.1. Which is the closest to -1?  (a) -1\/4  (b) w  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 10 = -10. Let f be 2\/6 - 15\/(-9). Suppose c + 7\/2*q**f - q = 0. What is q?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -336*u**2 - 256*u**2 + 245*u**2.\nAnswer: -347*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 38482691 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20818, -3, -2, -5, 4 in ascending order.\nAnswer: -5, -3, -2, 4, 20818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4\/7, 0.01, 9, 0.68?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -4*l**4 + 38516*l**3 - 115524*l**2 + 115516*l - 38504 = 0.\nAnswer: 1, 9626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**4 - u**3 + u**2 + u + 9. Let r(y) = 5*y**4 + 2*y**3 - 7*y**2 - 11*y - 48. Let z(w) = -r(w) - 2*x(w). What is the second derivative of z(h) wrt h?\nAnswer: -36*h**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - -2 - -2454)*30\/4. Suppose -o = -d - 8881595. What is o rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 703 is divided by 585?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3266\/(-138))\/(-1*2\/6)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 9, 30, 93, 222, 441?\n\"Answer: 4*g**3 - 3*g**2 + 2*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3398*z + 4200 = 3473*z for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -734 - -1040. Let c be (d\/(-3315))\/((-1)\/25). Let r = -2 + 4. Which is smaller: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 16 = -2*b, 3*b - 4*c = -0*c + 26. Suppose 4*k - b*m - 120 = 0, 2*m + 34 = 5*k - 114. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*1*(sqrt(104) - (sqrt(104) - -1*sqrt(104))))\/(-3*sqrt(24)\/sqrt(3)*3).\nAnswer: -sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the first derivative of 5*j**2\/2 - 6*j - 26. Let l(x) = 10*x - 13. Calculate -6*l(y) + 13*o(y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011111111110011000011 (base 2) in base 14?\nAnswer: 5bc159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7427 - -7428.8143. Round g to two dps.\nAnswer: 1.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**2 + 77*w + 992. Does 40 divide i(-88)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 5, o: 15}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3227, 6442, 9657, 12872, 16087?\n\"Answer: 3215*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 565 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + -0.7. Let v = -2 + y. Suppose -5*w - 24 = -4*p, 3*p + 3*w - 1 = -10. Which is the nearest to p?  (a) 0  (b) v  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 + 40)*10\/6. Let c = 104 - 106. Let w be (-3 - -2)*(7*c + 1). What is the greatest common divisor of l and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.17 or 12?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 3 p when four letters picked without replacement from uuuppppqupu.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -8*n**2 - 56. Let z(u) = -u. Give z(h(c)).\nAnswer: 8*c**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 82 = -2*k, -2*s = -5*k + 19 - 64. Solve -4*p + 24 = s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 272916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.01 - 4.99. Let y = w + 5.008. What is y rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 21*u**2 + 57*u - 36. Calculate d(-2).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14.0236 - 13.776. What is k rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -296  (b) -24\/127  (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6433 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*q + 18*q = 15*q + 7185 - 7725 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v + 0*v - v)*(-2*v**2 + 14*v**2 + 3727*v - 3726*v).\nAnswer: -12*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 747167, 1494338, 2241509, 2988680, 3735851, 4483022?\n\"Answer: 747171*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17 - 6*f + 24 - 34.\nAnswer: -6*f + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 13217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 - s + 1. Let g(r) = 2*r**2 - 10*r - 2*r**3 + 0*r**2 + 9*r**2 + 10 - r**2. Give -g(c) + 10*w(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-7\/5)\/(l*l**(2\/9)))\/(l*l*l*l**(2\/7)*l*l*l**(2\/9)*l) assuming l is positive.\nAnswer: l**(-2876\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -8*j**2. Let l(i) = -177*i - 3. Give s(l(z)).\nAnswer: -250632*z**2 - 8496*z - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1216)*-2)**2 + (-3*sqrt(19)*2)**2 - ((sqrt(19) - sqrt(95)\/sqrt(20)) + (4 + sqrt(95)\/sqrt(5) + sqrt(19))**2))*-4*5.\nAnswer: -109120 + 330*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2905 + 304966\/105. What is the common denominator of j and 53\/33?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/89680 and -41\/1434880.\nAnswer: 1434880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 26131 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 - 34\/(-4)*2. Let z be 1\/(1 - 12\/h). Let c(x) = -x**2 - 9*x + 7. Let k be c(-9). Which is bigger: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {u: 4, d: 1, f: 5, i: 3}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 29213 (base 13) in base 12?\nAnswer: 38855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the third derivative of w**6\/120 - 7*w**5\/60 + w**4\/8 + w**2 - 6. Let t(j) = j**3 - 8*j**2 + 4*j. What is -6*f(c) + 5*t(c)?\nAnswer: -c**3 + 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -3452950.\nAnswer: -3452953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -3*u - 27, -43*t + 40*t + 4*u = -28. What is the smallest common multiple of t and 118?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 226144?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**3 - 4*h**2 + 4*h + 6. Let w = -30 + 34. Suppose 2*n + 3*m + 44 = 0, 2*n - 3*m + 72 = w. Let t be 2\/3 + 0 + n\/6. Give i(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 871013.5m to centimeters.\nAnswer: 87101350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 296 + 100. Suppose -y = -16*n + 10*n. Calculate the remainder when n is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*k**3\/3 + 8300*k**2 - 9357766*k\/3 - 9432484 = 0. What is k?\nAnswer: -3, 391, 12062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -127*i**2*q**3 + 11*i**2*q**2 + 6*i**2*q wrt q.\nAnswer: -762*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-20)\/30 + (-53)\/(-3). Suppose -10 = -2*b - 3*j, -j = 2*j. Find the second derivative of s*p**b + 11*p**5 + 9*p - 34*p**5 wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000004276124 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*k = 94*k - 14968. What are the prime factors of k?\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eg when two letters picked without replacement from eicig?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4*h = -2*k + 14, 2*k = -2*h + 8. Suppose -5*o = -k*o - 14. Let r = 19 + o. What is the remainder when 9 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2028, 4099, 6170?\nAnswer: 8241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from czzhhzhzzzzzzzzzzzzc. Give prob of sequence hhzh.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.6?  (a) -6  (b) 8\/7  (c) 0.5  (d) -0.05  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*g + 3*g + g**2)*(26 + 3*g - 22 + 5*g**2 - 7*g**2) to b*g**4 + r + m*g**3 + i*g**2 + q*g and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -75.5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 + o + 1. Let m(k) = k**2 + 2*k + 5. Determine -m(d) + 3*r(d).\nAnswer: 2*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 66 and 6501?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 110 or 1218\/11?\nAnswer: 1218\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 279390343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 33148 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 70573, 70568, 70563, 70558, 70553, 70548?\nAnswer: 70543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2a2 (base 11) to base 5.\nAnswer: -2404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 2*p + 17*p**3 + 5*p**3 + 14*p**3 - 7*p**3 as c*p**2 + n*p + i + l*p**3 and give l.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*6*((-1*sqrt(143)*4)\/(sqrt(539)*-2)*-2)**2 + 2.\nAnswer: -3646\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 + 11*y - 13. Let x be s(9). Let c(w) = 2*w - x*w**2 - 54*w**3 + 4*w + 53*w**3. What is c(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 11 + -7 + -1*14. Let y = 1218 + -1205. Does v = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3360 or 3361?\nAnswer: 3361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 62, 2, -4\/11, 0.2?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, -9, 0.04, -0.047?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 2*v + 5*i, 5*i - 19 = 5*v - 89. Solve 2*s - v + 25 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.811 - 3.98. Let z = b - -0.238. What is z rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**2\/7 + 30375718*o\/7 - 30375720\/7.\nAnswer: 2*(o - 1)*(o + 15187860)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, 7, 7, 5, 1, -5, -13?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 431772 and 792?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**4 - c**3 + 2*c**2 + c + 2. Let j(v) = 10*v**4 - 3*v**3 - 156*v**2 - 2*v + 6. Let z(f) = -j(f) + 3*t(f). Find the third derivative of z(g) wrt g.\nAnswer: -312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(84)*2*1)\/(5*sqrt(192)*-2).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 5*z - 2982 = 0, w + 3*z = -0*w + 737. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 19074723 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-20)\/170)\/((-207)\/51 - -4). Let w(f) be the first derivative of -3 - 4\/3*f - 1\/3*f**h + 2\/9*f**3. Suppose w(r) = 0. What is r?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 37076685 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 5*s**2. Let n(k) = 111*k**2 - 4*k - 4. Let w be n(-3). Let j(v) = 5*v**2 - 1007*v + w*v. Give j(g(b)).\nAnswer: 125*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-70)\/(-70))\/(116\/8).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, m: 9, q: 6, g: 1}. What is prob of sequence qgm?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/4  (b) 688792  (c) 0.1  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of r**9\/3024 + 11*r**8\/5040 - r**7\/630 - 7*r**3\/6 - 58*r**2. Let b(a) be the first derivative of s(a). Factor b(v).\nAnswer: v**3*(v + 4)*(3*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7010*d - 2566 wrt d.\nAnswer: 7010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49*q**3 - 223*q**3 + q**2 - 29*q**3.\nAnswer: -203*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.1424 - 0.0576. Let r = 2.2 - 2. Sort r, 1\/3, m in increasing order.\nAnswer: m, r, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes before 2:06 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 - (2 - (4 + 1)). Let l(d) = -2*d + d - 1 - q. Suppose 2 = 15*j - 13*j, -2*u - 10 = 2*j. Calculate l(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -110 + -426. Calculate the remainder when (2 - 4)\/((-4)\/h*-4) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1422, 1349, 1272, 1191, 1106, 1017, 924?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(-2) - 57\/6. Let o = q - 1. Is 2\/o - (-3072)\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 5*o - 5, -2*o + 5*r + 7 + 1 = 0. Let m(h) be the second derivative of 1\/2*h**3 - 6*h + 0 + 0*h**2. What is m(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nyn when three letters picked without replacement from {h: 1, n: 7, y: 1, b: 7}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 3612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3412?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 5860, -12 in decreasing order.\nAnswer: 5860, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**5 - 6668*v**4 + 181508*v**3 + 46688*v**2 - 1230450*v - 1088964 = 0. What is v?\nAnswer: -3361, -2, -1, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 55\/4 of a day?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -4*m**3 + 100*m**2 + 34*m + 19. What are the prime factors of b(25)?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 169865249 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 559 = 2021. Round z to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/650 and (-152)\/(-38)*62\/72.\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4619, 4605, 4587, 4565, 4539, 4509?\nAnswer: 4475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 147 - 145. Let j be ((-6)\/495)\/(q\/10). What is the second smallest value in j, 3\/7, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13\/(-5) + 2)*40\/(-180).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1539\/(-5643) + (-1794)\/(-17710).\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 - 71400*u + 499842. Calculate o(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46 - -6 - 3 - (-63 + 31 + 35).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/(-7))\/(17\/357). Suppose -y*g + 35755 = -g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**5\/7 + 34*m**4\/7 - 2*m**3\/7 - 34*m**2\/7 = 0. Calculate m.\nAnswer: -17, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**2 - 2. Let q(h) be the second derivative of h**5\/60 + h**3\/2 + h**2\/2 - h. Let x(m) be the first derivative of q(m). What is -6*d(n) - 4*x(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -29*p**2 + 4*p**3 + p - 7940 - 3*p**3 + 7928 as q*p**3 + k*p + g + s*p**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75 = 2*x + 13*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4726340 by 139010.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -31*j + 383. Calculate the remainder when x(8) is divided by 38.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, t: 4, k: 2, w: 4, i: 2, z: 7}. Give prob of picking 1 z, 1 w, 1 t, and 1 s.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of o**7\/42 + 17*o**6\/120 + 4*o**5\/15 + o**4\/6 - 30*o**2. Determine g so that y(g) = 0.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -1120\/101  (b) 2\/9  (c) 1\/5  (d) 3  (e) -0.1  (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1809.699927656 - 1809.7. Round s to 6 decimal places.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -111 + -41423314?\nAnswer: -41423430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.06 and -2.4.\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mrunnnurrrptnununtt. Give prob of sequence tnpu.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**3 + 5*p + 4. Let z be g(6). Suppose 6*a - z = a. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 555197280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/802590 and -14\/14312855.\nAnswer: 85877130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*y = 70*y - 19. Let v = -19 + y. Let o = -148 - -1330\/9. Is v smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b*x**3 + 5*b - 39*x**3 + 2*x**2 - 2*x wrt x.\nAnswer: -6*b - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -83*r + 2. What is the remainder when n(-2) is divided by ((-240)\/(-150))\/((-2982)\/1505 + 2)?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/68 and (-8)\/14 - (-1025)\/140.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12 + (-1 - -7) - -13) + 5 + -3 + 3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 7 and -10.19.\nAnswer: -3.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 1, -11685 in increasing order.\nAnswer: -11685, -10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (42020\/(-660))\/((1 + 0)\/1). Which is smaller: q or -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, 4, 1, 1.7 in decreasing order.\nAnswer: 4, 1.7, 1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 2. Suppose -r - 18 + 8 = -q*m, m = -3*r + 19. Let x = m + -5. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11739 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 13, r: 2, f: 5}. Give prob of sequence rrf.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.091 - -0.031. Let o = -0.06 - n. Let l = 0 - 0.5. What is the second smallest value in o, l, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 67*v**2 + v + 1. Is s(1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + -528?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 8 - 193*f + 536*f.\nAnswer: 343*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -332 - -332. Which is the third smallest value?  (a) -3\/5  (b) 5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 4*g + 7, -2 = -2*q - 4*g + 20. Suppose -q = 2*z - 3. Let o be 9\/216 - 2\/(-6). Which is smaller: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 11, 62, 149, 272?\n\"Answer: 18*w**2 - 3*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 2*j**2 - 176*j - 5597. Calculate y(-24).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 - 5*f**2 + 7*f - 1. Suppose 2*n + 24 = -3*b - 0, 2*b - 3*n = -3. Let y be r(b). Let s = y - -4. Which is greater: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -11*r**3 + 11*r**2 - 7*r. Let u(h) = 8*h**3 - 8*h**2 + 5*h. Let j(i) = 5*o(i) + 7*u(i). Let y(q) = -56*q**3 + 42*q**2. Give -42*j(a) - y(a).\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 437960 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 9:10 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1897.4703 months to years.\nAnswer: 158.122525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -86.465.\nAnswer: 17.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*d**3*m**3 - 14802*d**3*n + 2*d**2*m**3*n + 3*d**2*m**3 - 4*d*m**3 + 8*d wrt n?\nAnswer: -14802*d**3 + 2*d**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*w = 24*w - 532. Suppose 0 = 11*s - w*s - 4*o + 1732, 1757 = 3*s - o. Round s to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 4*w**2. Let p be k(-1). Let v be p - (1 - (-2 - -1785)). Suppose 0 = -2*m + 3 + 1, v = 4*n + 3*m. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1342456 (base 7) to base 8\nAnswer: 534645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s. Let u be j(4). Suppose k = u*k - 15. Let b = 28 + -11. Solve -5*l = -2*c + b, -l = -k*c + 4*l + 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-17) - (-134 + 191680\/1088).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1135 and 0.3.\nAnswer: 0.03405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n - 10. Let b be x(10). Suppose -3*a + r - 13 = -7*a, b = -a - 2*r + 12. Suppose 0 = 2*t, a*t - 5 = -g - 0*g. Solve -2*d + 1 = -g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3784 by 2.\nAnswer: -1892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 100 and 4050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the second derivative of -11*h**5\/10 - h**4\/2 + 12*h. Find the third derivative of p(q) wrt q.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 4\/4275?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -r + r**4 + r + (-3 + 2 - 3*r**2 - 4*r**2)*(-8*r**2 - 27*r**2 + r**2) in the form i + z*r**3 + l*r + d*r**4 + v*r**2 and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 262901 is divided by 1167?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 - -4. Let s be (-192)\/(-594) - 24\/44. Which is the closest to s?  (a) -4  (b) n  (c) 0.3  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(1\/2)*i)**21)**16*((i*i**(2\/7)*i)\/i*i)\/i**(-1\/8)*i**(2\/11)\/(i\/(i\/((i**(1\/4)\/i)\/i*i*i))) assuming i is positive.\nAnswer: i**(311907\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -240*a**4 - 293*a**2 + 293*a**2 + (0*a**2 + 4*a**2 - 3*a**2)*(-4*a**2 + 0 + 0) + 0*a**4 + a**4 - 3*a**4.\nAnswer: -246*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1206151226 to the power of 1\/2, to the nearest integer?\nAnswer: 34730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 3*a - 5*b, 2*a + 3*b + 2 = 5. Suppose 8*z - 152 - 64 = a. Is z a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 40, 89, 138?\n\"Answer: 49*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8847464 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0969449 + 4?\nAnswer: 3.9030551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 690580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1, 61, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 2:14 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:43 AM and 9:38 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 2*f + 6. Suppose 5*c = 3*h + 21, -f*h = 3*c + 1 - 6. Solve w**2 + 0 + 1\/3*w - 4\/3*w**c = 0 for w.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 99, 101, 103, 105?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000596144 to five decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-544)\/51)\/(6\/(-10)*(-50)\/45)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 81343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/64 - -4)\/((-21)\/28)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of f**4\/4 + f**3\/3 + 5*f - 3. Let b be t(0). Suppose 0 = -y - 3*y - b*u + 222, -y + 54 = 2*u. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.17360246 * 9.\nAnswer: -1.56242214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 15*k**2 - 1 - 3*k.\nAnswer: -15*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 148 + -2871\/20. Suppose 7*f + 6*f = -178009. Let x = f + 766779\/56. Find the common denominator of o and x.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 694d + 27?\nAnswer: 6975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 145614.\nAnswer: 2, 3, 7, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -71*n + 645. Let g be a(9). Let z(d) = d**3 - 6*d**2 - 3*d + 3. Determine z(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z - z - 2*z - 73*z**2.\nAnswer: -73*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 48 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3 - 4)\/((-1)\/1). Suppose 0*p - 3*p = -144. Suppose -5*c - p + 13 = 0. Put v, c, -4 in descending order.\nAnswer: v, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-1)*(3332\/(-392))\/(3\/4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*h - 28*h + 1530 = 3*h. Calculate the remainder when 684 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -385*r**4 + 191*r**4 - 18*r**3 - 48*r**3 + r**2 + 197*r**4 to p + d*r**2 + w*r + z*r**3 + o*r**4 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 2*g**2 - 3*g - 50. Let h = 8 - 4. What is the remainder when h is divided by c(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/7*68\/51*(-30)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -41 + 73. Is -2 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 755130433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/24 of a week in hours?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -878*i - 2192*i - 1743*i + 58 - 58 in the form z*i + p and give z.\nAnswer: -4813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1558867993 to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13313330 - 101?\nAnswer: 13313223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h + 4 - 4)*(-125365 - 24*h + 2*h**2 + 125361 + 7*h).\nAnswer: 6*h**3 - 51*h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2 - d - 49. Let g(u) = 15*u**2 - 215*u - 14. Let q(f) = g(f) + 5*v(f). What is the derivative of q(r) wrt r?\nAnswer: 20*r - 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32 - 42 + 10 + 1824*t to the form j + x*t and give x.\nAnswer: 1824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -4*p**2 + 6*p**2 - 2*p + p**3 + 1 + 3. Let z be r(-3). Let f = 2.9 - 0.9. Which is the biggest value?  (a) -1\/5  (b) z  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 35\/17 or 1?\nAnswer: 35\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -319*n**2 - 40835*n - 135. Determine f(-128).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 629 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6.2 - -78.2. Let g = b - 68.5. What is the nearest to g in -2\/15, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7780\/11 at most as big as -707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31366 is divided by 302.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 133504901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 3, -2*i + j = -23618 - 6115. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 30, 1136807, 2?\nAnswer: 1136807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 182 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 61000 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -439\/12360 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 79329 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from npznxca. What is prob of sequence xn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bvoosnbvboobbbssvbgv. Give prob of sequence gs.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (6\/24)\/((-56)\/(-32))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 86203265 to the nearest integer?\nAnswer: 9285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 544, 571, 600, 631?\n\"Answer: i**2 + 24*i + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + 3*(-8)\/20. What is the closest to 1 in -1, s, -8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - 2*a + 4*a + 28434, 4*h - 3*a = 28439. Let i be (-8)\/(-36) - h\/(-18). Suppose -2*j = -5*y - i, 0*j - 2*y = -2*j + 410. Is j a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 5*b - 130 = 0. Let k = b - -158. Calculate the greatest common factor of k and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -43  (b) 16  (c) -0.1  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 100 and 160644090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(200) + -3 + sqrt(200) - sqrt(200))*-5 + -5*(2*sqrt(200) - sqrt(200))**2 + sqrt(200) + (sqrt(200)*-2 + -5 - sqrt(200))**2)*-6*-6.\nAnswer: 14760*sqrt(2) + 28620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -11*z**2 + 12*z + 60. Let t be w(-4). Let h = -122 - t. What is the least common multiple of h and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -13.6 and 0.439.\nAnswer: -5.9704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8528 and 286754?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + 0 - 4)*(11*t**3 + 17*t**3 + 12*t**3)*(-3 + 5 + 0) in the form d*t + b + m*t**2 + i*t**3 and give i.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-4) - (-5)\/2. Suppose -f = 4*k + 14. Suppose -45*h + 44*h - 1 = 4*g, 2*h + g = -9. Sort h, k, -1 in descending order.\nAnswer: -1, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/18*-2*(-2)\/(-4)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-14\/9))**(2\/79)*w**(-9)\/(w*w**(-18)) assuming w is positive.\nAnswer: w**(5660\/711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7772?\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2669.3989051 - 2669.4. What is h rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mn when two letters picked without replacement from {w: 1, e: 1, d: 1, n: 1, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (-3 - (-2 + 3)) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7311523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 13\/8 of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 365198959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s**2 + 90*s + 515. Let o be m(50). Solve -o*q + 32*q = 136 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -199*v**3 - 208*v**3 + 408*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 833 and 48841?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -4754*c + 14327. Give h(3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1719979033 minus -0.4?\nAnswer: -1719979032.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.3 + -0.7. Let d = 0.2 - 7. Let s = -6.8 - d. Which is the nearest to 0.1?  (a) m  (b) s  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(1\/6)*b**(-1\/11)*(b\/(b\/b**0))**(-21) assuming b is positive.\nAnswer: b**(5\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -7159\/4?\nAnswer: -7159\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 - 6*o**2 + 7*o + 1. What is the remainder when 1\/(-2)*(-4 + 0) is divided by g(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 13\/(-26) - (-177)\/2. What is the greatest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 279175738 = -56*w - 942184262. Round w to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 384*o = 391*o - 3199. What is the remainder when o is divided by 78?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3740487?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g - 10 + 49 + 77.\nAnswer: 2*g + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 20577151 to the power of 1\/2, to the nearest integer?\nAnswer: 4536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.14178053 to 3 decimal places.\nAnswer: -0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 3*p + 11*u, -2427*p = -4847*p + 2423*p + 5*u + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3657*l**2 - 1972*l**2 - 1683*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*m**2 + m**2 - 8*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from {h: 7, u: 3, p: 5, a: 2, y: 1}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 3*z - 70, 2*k + 11 = 1. Let x(b) = 2*b**2 - 44*b - 162. Let a be x(z). Let q be 4*(-3)\/(6\/5). Which is bigger: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 - 11.9. What is the biggest value in -0.3, o, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(3 + sqrt(1216)) + (sqrt(1216) + 3)*-6.\nAnswer: -56*sqrt(19) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 4) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -0.8, 4, 1, 747.42?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 - 4*g**2 - 3*g - 2. Let d be z(5). Let n(t) = -4*t - 5*t + d*t. Let p(o) = 16*o**2. Calculate n(p(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6533925 is divided by 816714?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/13, 1, -0.098, 1\/5.\nAnswer: -2\/13, -0.098, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28.2*2.\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 108795 to the power of 1\/2, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 + 6)\/((-3)\/(-9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*w + 17*w - 44*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 299, 599, 897, 1193?\n\"Answer: -b**2 + 303*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9718 = 1851*n + 2050*n + 70*n + 26021 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1337, -1, 2, 7, 3, 1 in descending order.\nAnswer: 1337, 7, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 2*y + 4 = 4*t, -4 = -5*t - 2*y. Suppose 5*i - 2*i - 61 = 5*s, 5*s - 20 = t. Calculate the lowest common multiple of 27 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-52*x + 38*x - 170*x + 40*x - 188*x)*(8 + 4 + 8*x - 7*x) in the form f*x + y*x**2 + w and give y.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -50814648 at most as big as -50814649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) -2\/9  (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3 + 16010*a**2 + 48012*a.\nAnswer: 2*a*(a + 3)*(a + 8002)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1077736531?\nAnswer: 2741, 393191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 + ((35 - 57) + 21)*21.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of 1\/3*p**3 - 11\/2*p**2 + 0 + 9*p + 1\/12*p**4. Let d be b(-6). What is the greatest common factor of d and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 56207628 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in -3, -13, -0.29, -7?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*s**5 - 4*s**5 + 3*s**5 + ((17*s**2 - 25*s + 25*s)*(-s + 2*s - 2*s) + 4*s**3 + 2*s**3 - s**3)*(-2*s**2 + s**2 + 0*s**2).\nAnswer: 14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1\/9, -2\/7, 32\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -11*i + 2. Let g be r(1). Let b = -8 - g. Solve 0 = 2*w - b - 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n. Let m(d) = -698961*d**2 + 2*d - 30. Determine g(m(w)).\nAnswer: -698961*w**2 + 2*w - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12169, -24336, -36501, -48664?\nAnswer: -60825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 + 4*q**2 - 5*q + 3. Let w = -14 - -9. Let a be x(w). Suppose n - a*n = -24. What is the remainder when 22 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 5*k - 1. Let c(o) = 16*o - 3. Let i(z) = 7*a(z) - 2*c(z). Let y be i(1). Solve 0 = -3*g + 13 + y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 9:17 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(396))**2 - ((sqrt(891)*-2)**2 - sqrt(891)).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -80\/1831, 4, 8 in decreasing order.\nAnswer: 8, 4, -80\/1831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -87\/238 and 28\/18105.\nAnswer: 253470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54 - 2*s**2 - 54 + 6*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 8, n: 3, p: 1}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1b9172 - 3?\nAnswer: -1b9175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.887781s in microseconds?\nAnswer: 8887781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 408572, 408562, 408546, 408524, 408496, 408462?\nAnswer: 408422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 7059 (base 12) to base 4\nAnswer: 2332011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -2*j. Let w(q) = -2*q**2 - 3*q + 49568. Give w(s(d)).\nAnswer: -8*d**2 + 6*d + 49568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 3*i - 7713 = 0, 0*g + 4*g = 2*i + 10290. Suppose 13*h - 19*h = -g. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -95617, -382377, -860299, -1529383?\nAnswer: -2389629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*d + 4 = 24*d. Let u(l) = 586*l - 3 + 647*l + 527*l. Is u(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 - 3)*((-4 + 1 + 4)*(-k + k + 2*k) + 2*k + 4 - 4).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1176 and 714?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 934, 2946, 8412, 19060, 36618, 62814, 99376, 148032?\n\"Answer: 288*t**3 - t**2 - t + 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 42637993.2 rounded to the nearest one million?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -208465 - 156170 = -4380*h + 5770 + 67595 for h.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 7 + (-50 - -28) - 19.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 505 and 810?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 428\/16 + (-1)\/8*6. Suppose 2*x + p - 368 = 0. Let f = x + -81. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -2\/78747?\nAnswer: -2\/78747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*s + s - 5*s)*(-2 + 0 + 4)*(-15*s - 7 + 23*s - 12*s).\nAnswer: -24*s**2 - 42*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 78807, 78795, 78769, 78723, 78651, 78547, 78405, 78219?\nAnswer: 77983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the first derivative of q**3\/3 + 2*q**2 - 5*q + 1. Let d(l) = 4*l - 17. Let s be d(3). Calculate k(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 939 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*k - 17*k + 5. Let d(y) = 24*y**3 - y**2. Let u be d(k). Solve -4*w = -4*o + 32, -w = 3*w - o + u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 71877486?\nAnswer: 143754972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 6*q - 68 = 0, -5*h - q - 19145 = -19098 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 163334*j - 6. Let h be y(9). What is h rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/((-22)\/(-4)) + 0. Let o = -109099 + 218195\/2. Put t, o, 65, 2 in increasing order.\nAnswer: o, t, 2, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-5)\/(-10))\/((-2)\/(-12)). Solve k*a = -13 + 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*r - 12 + 11 - 12*r**2 - 4*r + 12*r**2 - 4*r**3 in the form l*r**3 + u*r + h + f*r**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/5475576 and -73\/1348.\nAnswer: 5475576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -8 + 11 - 3 - 4*l + 7*l. Suppose 0 = -4*y - 2*k + 16, 3*k = y + 8*k + 14. Let p(n) = -3*n + n - n - y*n. Give i(p(f)).\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from rkrnvvrkkk?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 94212 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the first derivative of h**4\/4 - 2*h + 56. Let n(t) = -3*t**3 + 7. What is -7*g(p) - 2*n(p)?\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 12030 (base 4) to base 8\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -2*u - 4. Let q be 0\/(9\/(-3)) - u. Put 0, q, -4 in increasing order.\nAnswer: -4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1674, -3231, -4788, -6345?\n\"Answer: -1557*w - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -142*w = -138*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1722 is divided by 240?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5415, -10892, -16453, -22140, -27995, -34060, -40377, -46988?\nAnswer: -53935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from zhhhhnnqhnphhnhzhzh?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9814\/9 - 52349\/48. What is the common denominator of -115\/144 and o?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -q - 1 + 1 + 3*q - 5*q + 0*q + (-2*q + 3*q + 0*q)*(1 - 6 + 3) + 329*q - 118*q - 91*q to the form j*q + h and give j.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (180\/(-140) - 1\/(-28))\/(11\/(-66))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22763?\nAnswer: 13, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are -439 and -441 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -364?\nAnswer: 109.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uu when two letters picked without replacement from qquqluqqqqqulqqqulqq?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 110, 210, 370, 620, 990, 1510?\nAnswer: 2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 8*j**2 - 11*j - 8. Let g = -157 - -168. Let c be y(g). Suppose 0 = -17*m - c + 2658. What are the prime factors of m?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3072 and 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v + 1. Let c(o) = -3*o - 3. Let y be 39*((-12)\/(-9))\/4. Let a = y + -14. Give a*c(k) - 2*i(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 3*s - 6. Suppose -9*w - 6 = -10*w. Suppose 2*v - 40 = -2*n, 5*v = 5*n - 28 + 98. Let m(r) = -11*r + 4*r + v - 2*r. Give w*m(y) + 17*o(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1  (b) 0.4  (c) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 - 1 = 15*b. Suppose 5*o - 15 + 6 = -b*k, o = k. Suppose -2*d + 0 = -4. What is the greatest common divisor of k and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + d + 1306 = 0. Let c = d + -280. Suppose -5*t = -5*k + 440, -3*t + c = -k + 5*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -4*s**2 + 6*s - 4. Let j(b) = -9*b**2 + 13*b - 9. Let k(o) = 6*j(o) - 13*v(o). Differentiate k(a) wrt a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 95 - 94. Let p(l) = -z + 0 + 3*l + 13*l - 4. Let k(o) = 3*o - 1. Give 11*k(a) - 2*p(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 42502, 42961, 43420, 43879?\nAnswer: 44338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -256*d. Let s(o) = o**2 + 18. Give g(s(j)).\nAnswer: -256*j**2 - 4608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 280 and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-7))\/((-16)\/168*6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -1394*t - 22545. Calculate r(-16).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -2070 (base 16) to base 15\nAnswer: -26d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 - 2. Let t be (-77)\/(-22) + 4\/(-1). What is the nearest to t in 3\/7, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 40004?\nAnswer: 40004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84 = 12*u, -5335*m + 2*u - 20 = -5337*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-338)\/(-4))\/((-1)\/(-2)). Suppose 4*o = 2*m + 244, 3*m = 3*o - 2*m - p. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 356820 and 1520?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -385409, 0, 1\/2 in decreasing order.\nAnswer: 1\/2, 0, -385409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92*m**2 + 54*m**3 + 52*m**3 - 178*m**3 + 51*m**3 + 92*m**2.\nAnswer: -21*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4 - (0 - 1) - 1. Let a(n) = -4 - n**3 - 3*n**2 - b*n + 2 + n. Determine a(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 21*m - 45 - 39 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.126 or -2?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of 74999*c**5\/60 + c**4\/6 - 4*c**2. Let n be w(4). What is n rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -46 less than -30\/12799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 219 * -0.051\nAnswer: -11.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 127, -2\/7, -0.03?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*u + 10 = -10*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*z + 8 - 8.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 PM and 10:58 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4377 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4645, 9319, 13993, 18667?\nAnswer: 23341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 78 = 7*v - 5*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -32 + 73. What are the prime factors of n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 910 and 4?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (-8 - (-19 + -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8543665628.\nAnswer: 2, 19, 59, 1905367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(24)\/(sqrt(432) - sqrt(432)*2).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 + 14. Let m(j) = -j**3 - 2*j + 10. Let i be m(2). Which is bigger: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22 and 5522.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of h**6\/60 - h**5\/5 + 19*h**4\/24 - h**3 - 5*h - 42. Factor n(x).\nAnswer: x*(x - 4)*(x - 3)*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1617) - sqrt(33))\/(6*sqrt(176))*3.\nAnswer: 13*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 + (4 - -10) + -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 601631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 6:06 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*y + y - 2*y)*(29*y - 16*y - 3 - 2*y**2 - 12*y) to v*y**3 + f*y + t + w*y**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + 4. Suppose 0 = -3*x + 23 - 8. Suppose 2*d + 1 = -10*n + x*n, 0 = 3*n + 3. Sort d, -1, c.\nAnswer: -1, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1216)\/96*(-2 - 15\/(-4)) and -133\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -4*i - 16, -5*s + 2*i + 2 = -6. What is the tens digit of (s - -3)\/(((-9)\/111)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-14))\/(483\/644)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 139385.\nAnswer: 5, 61, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -277\/4, 2, 7\/2?\nAnswer: -277\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 4*q + 32 = -4*n, -5*n + 4*q - 36 = 0. Let w be (0 - n\/(-4))*-16. Let r = -15 + w. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 465 divide 28083761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**3 - 5*q**3 + 97 - 131)*(-4*q + 4*q + 2*q**2).\nAnswer: -10*q**5 - 68*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6504 = -1266*n + 10438 - 1750 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of f**3 - 155*f**2 - 496.\nAnswer: 3*f**2 - 310*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*w + 12, -10*w = 3*d - 13*w + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of q**7\/525 + q**6\/25 + 7*q**5\/25 + q**4\/3 - 5*q**3 + 119*q**2. Solve m(a) = 0 for a.\nAnswer: -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7228*q - 50 = -5*s - 7233*q, -8*s = q - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 53.61 and -2180.\nAnswer: -116869.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-4\/7)*l*l**(-13\/5) assuming l is positive.\nAnswer: l**(-76\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27)\/(-66)*118\/(-177)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 142, 276, 422, 586, 774, 992, 1246, 1542?\n\"Answer: p**3 + 127*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 49*j**3\/5 - 826*j**2\/5 + 832*j - 5408\/5.\nAnswer: (j - 2)*(7*j - 52)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1909657018 to the power of 1\/2, to the nearest integer?\nAnswer: 43700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1234459271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*m**3 - m**2 - 2*m**2 + 2*m**2 - 4*m**3 - m**2.\nAnswer: -9*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -3*n + 2451, h = -143*n + 147*n - 3263. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 619, 647, 675, 703?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 54\/24*(-500)\/600*96\/1110\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 177\/7 - 25. Let z be (1\/(-2))\/(4 + -6). What is the closest to z in l, -47\/4, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 - 4*j**2 + j - 3. Let b be s(-4). Suppose 3*h + 13 - 28 = 0. What is the remainder when (-2)\/b + (-235)\/(-35) is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2978 + 3598. Calculate the remainder when a is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 21 + -17. Let k(m) = -m**3 + 2*m**2 + 8*m + 4. Let h be k(d). Suppose -4*a + 3*f + 136 = 0, -7 = 5*a + h*f - 177. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of r**2 - 78. Let p(t) = 383*t. What is p(g(y))?\nAnswer: 766*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 - 88*t**2 - 425*t + 400. What are the prime factors of y(-90)?\nAnswer: 2, 5, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 34541066 - -2?\nAnswer: 34541101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -321?\nAnswer: 31c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (g - 3*g + g)*(-5*g - 2*g - 2*g)*(14 + 33 + 70) + (2 + g**2 - 2)*(2 + 3 - 8) in the form w*g + f + p*g**2 and give p.\nAnswer: 1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -3981*o + 22078. Determine x(6).\nAnswer: -1808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -2*i + 222 + 344, 5*i - 127 = -g. What is the remainder when g is divided by 52?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 2*u**2 - 13*u + 11. Let c be z(5). What is the closest to 1 in c, 14, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4, 6, -234\/7, -2\/5, -4, -1, -8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s = 8*s + d + 741, 0 = 3*s - 5*d - 1129. Suppose -3*b = 2*z - 1204, 0 = z + 2*b - s - 235. List the prime factors of z.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (30\/8)\/(6\/32). Suppose -p = -5*u + u. Solve h - u*l - 11 - 4 = 0, -4*l = 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d + 2. Suppose 4*f - 56 + 184 = 0. Let g = -31 - f. Let j(u) = 1. Determine g*n(h) - 5*j(h).\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) -0.08  (c) 1\/8  (d) -4  (e) 5.4  (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1101 times -0.798\nAnswer: 878.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 22827.\nAnswer: 2\/22827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*t + 152 + 16 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - -5 - (-6 + -1 - -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6\/(54\/(-99)) - -257 is divided by 245.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8322 divided by -19.\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -6240773.31 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*x - 163793 + x - 163790 - 163796 + 491382.\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-32)\/(-112) - 163\/7. Let n(l) = -l**3 - 22*l**2 + 14*l + 14. Is n(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - (-5 - -12)) + -2 + -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 k when three letters picked without replacement from kzrzrkzzzkrzkjazzja.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47 - (16\/(-4) - -8) is divided by 31\/2 - 2\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1850*l**2 + 3802*l**2 - 1863*l**2.\nAnswer: 89*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 237194221?\nAnswer: 11, 21563111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/9 + 4868\/36. Suppose 5 = q - 5*w, 3*q - 3*w = -2*q + k. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27 - 24. Suppose -o + 3*o = u - 6, 2*u - 12 = -b*o. Does 6 divide (-24)\/9*-15*u\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.4321794 millennia?\nAnswer: 4.321794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 39019817 to the nearest integer?\nAnswer: 6247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000201105275 to five decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -17.6308.\nAnswer: 17.6308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -129*h - 5752 = -466*h - 382*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 19*d**2 + 9*d. Let b(m) = -2*m - 7763. What is b(h(f))?\nAnswer: -38*f**2 - 18*f - 7763","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-232)\/(-15))\/(5866\/(-43995))?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -2*y**2 - 4*y + 4*y. Let f(t) = -5*t + 14 - 14 + 11*t. Give f(m(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*j - 9 = 33 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/(-8) - (-4655)\/20 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1708 a factor of 72013338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*o**3 - 209*o + 4*o**3 + 409*o - 14*o**3 + 20*o**3 - 201*o.\nAnswer: 58*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 + 5 - 5 - 1 + 1 - 2 + (1 + 0 - 3)*(4 - 1 - 4))*(-5*r**2 + 3*r**2 + r**2).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 2*o + 21 = -2*o, -o - 3 = 0. Let b be (-1)\/(q\/(-30)*-2). Suppose 5*i = b*j + 20, -5*j + 1 = 5*i + 21. Sort 2, i, 3 in increasing order.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1992)\/(-7636))\/(8\/(-644))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u + 9. Let x = -81 + 76. Let b be m(x). Solve 4*g - b*a = -24, 5*g = -4*a + a + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/60 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:14 AM and 10:42 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -2*j - 2*g + 336, -4*j + 4*g = -636. What is the highest common divisor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1053 - -111?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -2*a, -5*y = -y - 5*a - 18. Put 0, y, 4 in decreasing order.\nAnswer: 4, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -6*m + 61. What is v(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -3*b**3 + 2*b**2 - 1. Let u be l(-1). Suppose -j = -2*c - 17, u*j - 12 = 2*c - 4. Let p = c - -10. Sort p, 4, -2.\nAnswer: -2, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 40052 = z, -3*z - 10*p = -3*p - 120141. What are the prime factors of z?\nAnswer: 2, 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 4*m + 78 = 6*a, -5*m = 4*a - 57. Suppose 3*s + a = x, 0 = 2*x - 3*x - 4*s - 17. Let j(g) = -g + 4 + 5 + 2*g - 5. What is j(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*v + 1660 - 1660.\nAnswer: -23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16\/91 + 6\/13. Sort b, 1, 0 in ascending order.\nAnswer: 0, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(140)\/sqrt(5))\/((sqrt(484) - (sqrt(484)*2 + sqrt(484))) + sqrt(484))*-1)**2.\nAnswer: 175\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 23*j. Let o(k) = -7*k**2 - 4. Let x(h) = -15*h**2 - 9. Let v(w) = 9*o(w) - 4*x(w). Determine v(r(a)).\nAnswer: -1587*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 105*k - 105*k - 6*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) -0.26  (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 327614 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 9) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 197 at most 201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 853364914?\nAnswer: 2, 426682457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -19407472, -19407474, -19407478, -19407484, -19407492, -19407502, -19407514?\n\"Answer: -m**2 + m - 19407472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1113 and 12243?\nAnswer: 12243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 2*v = -2*y + 1, -5 = -y + 2*v. What is the common denominator of y - (-1522)\/(-1032) - (-3)\/12 and -41\/2?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -900 divided by -60?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -373\/24 or -16?\nAnswer: -373\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -126, 3240, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3223442 and 1.\nAnswer: 3223442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 32*b - 190. Let q be k(6). Let a be q\/8 + (2415\/(-28))\/(-15). Solve 0 = -o - 5*t + 22, -a*o + 2 = -3*o - t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -68*l**2 + 3*l - 4*l**3 - 73*l**2 - l - 2*l**4 - 5 + 139*l**2 as v*l**3 + r*l + y*l**2 + g*l**4 + f and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 270 = -133*i. Which is the fourth biggest value?  (a) -3\/7  (b) i  (c) -4  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 11) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -1\/9, -1.3, 5\/4 in increasing order.\nAnswer: -1.3, -1\/4, -1\/9, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2708338 rounded to two decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -20902044.8 rounded to the nearest one thousand?\nAnswer: -20902000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 116941, 116938, 116933, 116926?\nAnswer: 116917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -2, 76958.\nAnswer: -6, -2, 76958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of d**2\/2 - 3*d - 31. Suppose -n = -2*n. Let k be z(n). Is k greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -102*r + 380 - 1105 + 368 + 366.\nAnswer: -102*r + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -z**5\/2 + 5*z**4 - 9*z**3 - 32*z**2 + 115*z\/2 + 75 = 0. What is z?\nAnswer: -2, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -44*g**3 - 1 + 746*g**3 - 6625*g - 191*g**3 + 3118*g**3 - 1 wrt g.\nAnswer: 21774*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9055.\nAnswer: 5, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -423 = 35*x + 347. What is the remainder when 64 is divided by (39\/9)\/(x\/(-66))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 52\/165 and -71\/10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 6172, 6182, 6200, 6226, 6260?\n\"Answer: 4*p**2 - 2*p + 6170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 9) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 4*r - 24 = 0, 4*q - 3*r = 16 + 22. Let t(n) = -4*n + 7. What is the remainder when t(-6) is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19299164 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -1569*g - 39293. Determine q(-25).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -5*c + 117. Let k be z(26). Let q(n) = 147*n**3 - 13*n - 29. Let h(i) = 73*i**3 - 6*i - 14. Let m(x) = k*h(x) + 6*q(x). Differentiate m(j) wrt j.\nAnswer: -201*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 15*f - 20*f, 4*f = -3*h + 199. Let x(w) = -224*w + 1. What is the remainder when x(-1) is divided by h?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 0*t = -200. Let p = -34 + t. What is the second derivative of 6*l - 16 + p - 2*l**2 + l wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -33*u**3 + 3*u**2 + 4*u - 4. Let h(v) = -34*v**3 + 4*v**2 + 5*v - 5. What is 3*h(g) - 4*o(g)?\nAnswer: 30*g**3 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 28 - 22.1. Let m = -6.031 + c. Round m to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1346 is divided by 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*i - i - 2*i)*(i - i - i)*(-4*i + 2*i - 4*i) - 15*i + 2*i**3 + 15*i as t*i**3 + v + d*i + a*i**2 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 - 6.7. Let t = 1.28 - 0.28. What is the second smallest value in b, -1, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3 + (-56)\/(-24) + 164\/3. What is the greatest common factor of k and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 PM and 11:41 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 572500661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**3 + 6*n**2 - 8. Let y(s) = 1 + 3 + s**3 - 7*s**2 + 5. Suppose 20*h - 15*h - 40 = 0. Suppose h*i = -9*i + 119. Give i*m(c) + 6*y(c).\nAnswer: -c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 105 + -274. Let j = -168.9915 - o. Round j to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 115 - -67. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -306, -308, -322, -354, -410?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -157, -163, -169, -175, -181, -187?\n\"Answer: -6*b - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4 + 2 - -1 - 2. Let p = 59 + -97. Let z be (-3 - 265\/(-85)) + p\/34. Sort z, 14, 3, l in descending order.\nAnswer: 14, l, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooookokoooo. Give prob of sequence ooko.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 64 + -61. Let k(c) = -c**2 + c. What is k(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and 5.13.\nAnswer: 2.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/87 and -69\/428.\nAnswer: 37236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from {n: 1, b: 1, l: 2, f: 5}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 114666.79.\nAnswer: -22933.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 448*h = 428*h + 40 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1310 and 50042.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 1 x when three letters picked without replacement from {v: 3, x: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6 + 5*m - 6 + (2 - 3 - 1)*(2 - m - 2).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 810550 and 2465?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 340 and 76585?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 109525543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 429.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * 357.2.\nAnswer: 1428.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51562*y**2 + 1392186*y - 324 = 0.\nAnswer: 6\/25781, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*h**33*h**(-1\/18) assuming h is positive.\nAnswer: h**(611\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 504, 1988, 4480, 7986, 12512, 18064, 24648?\nAnswer: 32270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2 - 3*p - 5. Let r be q(-7). Let n = 125 - r. 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: Calculate the remainder when 2477 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 63 = -5*m, -75*m = 3*x + 77*m - 149*m - 27 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 7) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 14\/21 - 149\/3. Suppose -3*o + 6 = 0, 5*o + 115 = -3*f - 25. Which is greater: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87747 is divided by 159?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5922 divided by -3?\nAnswer: -1974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m**7*m*m\/(m**5*m)*m*m**(-1)\/m**(-2\/5) assuming m is positive.\nAnswer: m**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13.08 - 13.28. Which is the closest to 3?  (a) t  (b) -0.1  (c) -109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*k + 5 + 3 + 8 - 15 to the form a*k + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**2\/7 - 733678374*z\/7 - 44856996372940323\/7.\nAnswer: -3*(z + 122279729)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 385*l**2\/2 + 8083*l\/2 - 21 = 0. What is l?\nAnswer: -21, 2\/385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 - 10 - 17 - 7 - 34*v + 12 as p + a*v and give a.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/9, 1, 0, -0.77, 0.7 in ascending order.\nAnswer: -0.77, -5\/9, 0, 0.7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 407385*o**2*v**3 - 589*o*v**3 + 25*o*v**2 - 2*o - v**3 wrt o?\nAnswer: 814770*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -309, -162 in increasing order.\nAnswer: -309, -162, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(5100)*2)\/((sqrt(432) + (sqrt(432) - sqrt(432)*1))*5).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4657.\nAnswer: 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2  (b) 4  (c) -5.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (y**3 + 23*y - 24*y + 2*y**3)*(38 + 11 + 1) to the form q + p*y**2 + h*y + j*y**3 and give j.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.07 * 454767\nAnswer: -31833.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -510.913578961 minus 0.5?\nAnswer: -511.413578961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -112*z**2 + 22*z - 12. Let w(s) = -56*s**2 + 10*s - 6. What is 6*k(m) - 13*w(m)?\nAnswer: 56*m**2 + 2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = x - 125513 - 178336, 6*x - 1823116 = 5*z. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 times -25566225?\nAnswer: 869251650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/8800 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28258 - 1987 = -3214*t + 7159 + 20448 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 579, 0.1, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1235, 1699, 2163, 2627, 3091?\n\"Answer: 464*r + 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 102 (base 4) to base 8\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -7048.87619 and 0?\nAnswer: 7048.87619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2634279559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -101275*s**3 + 66189*s**3 + 35074*s**3 - 2*s**2.\nAnswer: -12*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00002394 to six dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(3 + 0 + 4*(1 + sqrt(425) - sqrt(425))**2).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2\/18651 + 1510751\/186510. Find the common denominator of -73\/24 and x.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.2 + -0.1. Which is the third biggest value?  (a) -0.5  (b) -2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 645a64 + b?\nAnswer: 645a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together -18.8 and -624.48.\nAnswer: -643.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -3*c**2. Let o(i) = 4*i + 264. Determine o(x(p)).\nAnswer: -12*p**2 + 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -4.86850597 - 4\nAnswer: -8.86850597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes after 8:58 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*j + 3518 - 6238 = -31*j for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o - 357168 = -109240. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -73 - -129. Let a = k - -68. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -d + 15. Suppose -j = -d*v + 174, 2*v = -v + 5*j + 100. Let c = v - 12. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 753, 1543, 2401, 3363, 4465, 5743, 7233, 8971?\n\"Answer: 6*x**3 - 2*x**2 + 754*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 less than 25511?\nAnswer: 25511.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 137*p**2 + 154*p + 49. Let z be g(10). Round z to the nearest one hundred.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 33, 240, 593, 1098, 1761, 2588, 3585, 4758?\n\"Answer: g**3 + 67*g**2 - g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -6*n - 122. Determine b(-13).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes before 12:49 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -u**5 - 255869*u**4 - 2558622*u**3 - 8187526*u**2 - 9722657*u - 3837885 = 0.\nAnswer: -255859, -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -5*t - 2. Let j(k) = 3*k**2 + 1. Let c be j(t). Suppose 0 = -c*x - x + 135. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2058 (base 16) to base 6.\nAnswer: -102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1548*b - 25 = -1543*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ebpe when four letters picked without replacement from {b: 4, e: 3, p: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 + 3*v**2 + 2*v + 8. Give n(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h - 3. Let f be 9*(0 + 102\/(-27) + 4). Let w(g) = 4*g + 9. What is f*w(m) + 7*p(m)?\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6186506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -8*i**3 + 34*i**2 - 3*i - 10. Let l be v(4). Suppose x + 107 = -3*a, -2*a + 3*x = 4*x + 71. Which is greater: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 0.5, -421158 in ascending order.\nAnswer: -421158, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 AM and 9:27 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 2:58 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of n**5\/60 - 7*n**4\/24 + 5*n**3\/3 - n**2. Let l(q) = q + 2. Let c be l(5). Calculate the least common multiple of 18 and t(c).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3267, 6430, 9497, 12468, 15343?\nAnswer: 18122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -2*o**4\/9 - 290*o**3\/3 - 63232*o**2\/9 + 14440*o = 0.\nAnswer: -342, -95, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.83791 decades in months?\nAnswer: 460.5492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8850166 millilitres in litres?\nAnswer: 0.0008850166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 0 + -3 + -15 + 10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.010275659 to six decimal places.\nAnswer: 0.010276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(200) - (sqrt(200) + 1)) + 3 - (sqrt(200) + 2*sqrt(200)*-5)) + 3 + -4)**2*5.\nAnswer: 900*sqrt(2) + 81005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/9)\/((-6)\/(-9)*1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 72322226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r + r + 0*r)*(-r**2 - r**2 + 0*r**2) + 2*r**3 + 7*r**3 - 3*r**3.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 131903926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*h - 13*h + 4*h)*(-2*h**2 + h**3 + 2*h**2).\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 459412046.\nAnswer: 2, 17, 457, 29567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -387 - -74. Let n = 523 + p. List the prime factors of n.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 - 12*y - 4. Let x(g) = -4 - 14*g + 0*g + 3*g + g**2. Let f(o) = -4*x(o) + 3*z(o). Calculate f(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes after 11:53 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 1 - 6 + (-1 - 3 + 2)*(-1 + 2 - 2) - 4 - 2 + 4 + 0 - 2 + 0)*(-948*z**2 - 324*z**2 + 2125*z**2).\nAnswer: -2559*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(55) - (sqrt(550)*-1 + sqrt(550))\/sqrt(10))\/(sqrt(45)*2)*5.\nAnswer: 5*sqrt(11)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 + 21 + (-32 - (-17 + 3)) - (2 + -1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 + 51\/18)*8*-1. Which is the fourth smallest value?  (a) -4\/5  (b) 10  (c) g  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22*t - 27*t - 15*t)*(13 - 5 - 1)*((0*t**2 - t**2 - t**2)*(3 - t - 3) - 4*t**3 + t**3 + 2*t**3)*(4 - 4 + 2*t).\nAnswer: -280*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iii. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -324*c + 1016 = -70*c. Solve 103*a - 108*a = 3*b + 6, 0 = c*b - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 17243.91 millennia?\nAnswer: 206926920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -12669886 < -12669888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 AM and 6:41 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 339486 + 258534. Suppose -725949 = -3*x + 3*z, -3*z + 2*z = 3. Suppose b = x + r. What is b rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 1 + 1)*(0 - 6 + 2)*(-121 + 121 - 24*m)*(-2*m + 0*m + m) to the form l + v*m**2 + c*m and give v.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/48 and -101\/1615920?\nAnswer: 1615920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-4*sqrt(5)*1 - (0 + 0 + sqrt(5) + sqrt(5)) - ((sqrt(385) + -2*sqrt(385))\/sqrt(11))\/sqrt(7)) + 5.\nAnswer: -5*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-342)\/135)\/19*-15)\/(-47).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9108.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1041307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x + x + 76. Suppose 2*j - x = 3. Let u = j + -2. What is the smallest common multiple of 5 and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -3697, -6129, -10183, -15859?\n\"Answer: -811*d**2 + d - 2887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 72, 529, 1774, 4203, 8212, 14197, 22554, 33679?\nAnswer: 47968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -2*d + 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2\/17 + 274*n\/17 + 540\/17.\nAnswer: 2*(n + 2)*(n + 135)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0008206 to 5 dps.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 58270.428us in days?\nAnswer: 0.00000067442625","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3 + 7244*y**2 + 6573906*y + 26179848.\nAnswer: 2*(y + 4)*(y + 1809)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3440218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 3*m**3 + m**2. Suppose 2*i = 5*r + 29, -4*i + 3*r = -0*r - 23. Is 14 a factor of d(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/((h**(2\/3)\/h)\/h))**(-3\/38)*(h*h**(-2\/9)\/h)\/(h*h*h\/h**(3\/4)*h) assuming h is positive.\nAnswer: h**(-2501\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1 + -106744180984?\nAnswer: -106744180982.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 - 7*n**2 - 3. Let a be w(7). Let g = a - -23. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 79686 - -745604. Let y = m + 364710. What is y rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9892 (base 13) to base 10\nAnswer: 21244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 13 = -1. Let r(b) = -b + 5. Let n be r(10). Let i(c) = -c - 3. Calculate the least common multiple of g and i(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -44393 + 82084. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -680.243 and 1?\nAnswer: 681.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.93 and 147252.\nAnswer: -136944.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*s - 102 + 107 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 18\/3 - 2 - -1. Suppose -h*f + 27 = -4*f. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*y**4 - 12*y**3 + 174*y**2 - 128*y - 312 = 0. Calculate y.\nAnswer: -13, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74966039 is divided by 517.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, -2, -1, -429?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = l - 0. Suppose g + l*q - 18 = 0, -g + q + 153 = 4*g. Calculate the greatest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 229 = -34*d + 32*d, 97 = d - 4*v. Solve 0 = d*n - 114*n - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 3*h + 1. Let x be a(-1). Let v be 0 - x - 25 - 1. Let b = 36 + v. What is the greatest common factor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3544, 1\/3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-26)\/4*200\/(-325).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90563 + 179*d**3 - 90563.\nAnswer: 179*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-5 + ((sqrt(700) - (sqrt(700)*-1 + sqrt(700)))**2 - sqrt(700)) + sqrt(700) + 1 + -1 + (-1 + sqrt(700))*1)*6.\nAnswer: 120*sqrt(7) + 8328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 714 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2\/451 - 441\/2255. Which is the nearest to 1\/6?  (a) -2  (b) u  (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18*s**5 + s + 18*s**5 - 2*s**5 wrt s.\nAnswer: 680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, c: 1, n: 2}. What is prob of picking 1 c and 2 n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1272 + 1275. Solve 27\/5 - q*g**2 - 9\/5*g - 3\/5*g**3 = 0 for g.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6575, 52578, 177443, 420602, 821487, 1419530, 2254163, 3364818?\nAnswer: 4790927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 60141 and 60137 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 563 a factor of 18238948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of 510829.775844226 and -0.5.\nAnswer: 510829.275844226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -750*p - 1. Let w(u) = 641*u + 2. Calculate w(l(s)).\nAnswer: -480750*s - 639","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-11)\/(-2) + ((-56)\/(-7))\/(-16). Let c(w) = -4*w + 38. Calculate the lowest common multiple of c(y) and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 3*z = 282 - 252, 7*v + 4*z + 76 = -25*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -19020 by 15.\nAnswer: -1268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 644089 - 6790*a - 644089 to t*a + b and give t.\nAnswer: -6790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 576 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k**4\/4 + 334*k**3 + 298737*k**2\/4 + 3916850*k + 3842500 = 0. Calculate k.\nAnswer: -100, -1, 1537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 1587*c + 1846. Let u(s) = -792*s - 924. Let b(q) = -6*d(q) - 14*u(q). What is the first derivative of b(t) wrt t?\nAnswer: 1566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -f**2*q**3 + 4*f**2*q - 3*f*q - 30069*q**3 + 46*q**2 wrt q.\nAnswer: -6*f**2 - 180414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00011837739 rounded to seven dps?\nAnswer: -0.0001184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-20)\/(-75) + (-4)\/10. Let m = -4.371 + 8.371. What is the nearest to 0.4 in -2, m, 6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -62 or -2408\/39?\nAnswer: -2408\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1179, 538, -103, -744?\n\"Answer: -641*i + 1820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1183)\/(-26)*1\/((-21)\/(-3))*4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14601949697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/(-6)*(-150)\/125.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, w: 4, e: 1, n: 1}. Give prob of sequence sn.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 + 7*x + 7. Let v(p) = -3*p - 15. Let w be v(-5). Suppose -h = -3*h + 3*u - 25, -2*h - 2*u = w. Determine t(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -1  (c) -0.068\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 21543871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t. Let z(i) = 15*i - 1. What is 14*v(q) - 2*z(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 219 = i. Let p = i + 167. Is 25 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 6559152795?\nAnswer: 3, 5, 13, 61, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8\/(-4) - -3)*-16. Let t(s) = 4*s**2 + 31*s - 14. What are the prime factors of t(a)?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, x: 3, y: 1, n: 5, i: 2, g: 1}. Give prob of picking 2 i, 1 n, and 1 x.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 912 and 310384?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -3*y - 4*g, -20*y + 5*g + 12 = -23*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/4)\/(-6 + 7 + -2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 140973060 and 3480.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 7\/6, -1\/7, 5\/2 in ascending order.\nAnswer: -1, -1\/7, 7\/6, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2899 and -0.79.\nAnswer: 2290.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**1\/(f*(f**(-3\/2)*f)\/f*f)*f**(-1\/3)*f\/(f*f\/f**(-3))*f**(-2\/7)\/((f**3*f*f)\/f)*(f\/f**(-1\/2))**(1\/65) assuming f is positive.\nAnswer: f**(-11051\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 27*n**4*r**2 - 61*n**2*r**3 - 1506*r**3 wrt n?\nAnswer: 108*n**3*r**2 - 122*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the first derivative of 2*h**5\/5 - 7*h**4\/4 - 25*h**3 + 35. What is the third derivative of c(u) wrt u?\nAnswer: 48*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 553*z - 539*z - 28. Put -7, 6, -5, z in ascending order.\nAnswer: -7, -5, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1064*m + 1064*m + 16*m**2 + (-2*m + m + 0*m)*(-3*m - m + 3*m) + m**2 + 0*m**2 + 3*m**2 to j + g*m**2 + d*m and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {r: 2, j: 2, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 70836800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2585 + 2563.43. Let g = s - 0.93. What is g rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -203355 (base 7) to base 2.\nAnswer: -1000100000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 26162 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 78095521 and 622?\nAnswer: 156191042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 57 = 7*i. Suppose 2*z = 5*v + 106 - 85, -2*v - 5*z + i = 0. Is -11\/3 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/13774 and 55\/128.\nAnswer: 881536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-98)\/1715*5\/(1\/(-1))*-7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2*m**3 + 7*m**2 + 5 - 2*m**3 - 2 + 3*m**3 - 6*m. Let o be j(6). Solve -o*p + 10 = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/3, 3, 4, 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 11*f = -15. Let h be (-2 + f - 2)*-5. Solve 0 = h*l - 7 + 17 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -7501792 and 22.\nAnswer: -7501770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1459052 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1796.958 - -1772. Let f = -25 - v. What is f rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 divided by 212.\nAnswer: 7\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -106946 <= -106948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 146 a factor of 258712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6294 - 6289. Which is the fourth biggest value?  (a) -9\/10  (b) -4\/7  (c) -1\/8  (d) z  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -64, -360, -846, -1516, -2364, -3384?\nAnswer: -4570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 46\/(-16)*2 + 0. Let j = o + 125\/4. What is the common denominator of j and 73\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 + 108. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 193.0458 - 0.0458. Let s = n + -264. Which is greater: 3 or s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/30*(-233 - -83)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -31*s. Let u(o) = -10*o**2 + 14*o**2 - 8*o**2. Give t(u(j)).\nAnswer: 124*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the third derivative of r**4\/24 - 5*r**2. Let a(j) = -8*j. Let v(b) = -a(b) - 10*x(b). What is v(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 2594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -406*z**4 - 38*z**5 - 22*z + 406*z**4 wrt z?\nAnswer: -760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 162863219?\nAnswer: 73, 1069, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -550*f + 116*f + 2661 - 10039 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1288908 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, 0.1, -2\/11, -0.3, 2, -7.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 6 + 1 = 0. Suppose -2*c = -3 - x. Solve z + 2*z = 2*m, c*z = 4*m + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y + 10 = 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 4*k = 3*p - 9, 6 = -2*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, x: 1, g: 1}. What is prob of sequence kxxg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 PM and 9:52 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/20163 and -67\/987.\nAnswer: 141141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l - 19. Let o be m(18). Is (-2)\/o + (2048 - 17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 7*m**3 + 4*m**2 - 7*m - 6. Let i(u) = u**2 - 1. Calculate 5*i(r) - j(r).\nAnswer: -7*r**3 + r**2 + 7*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 1119*i**2 - 5720*i - 4. Calculate f(6).\nAnswer: 5960","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1276*h = 1267*h + 61254. Suppose 57*g - 16*g = h. Calculate the remainder when g is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 42326 - 25297. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/1398 and 93\/44270?\nAnswer: 132810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 2*i. Let k(y) be the first derivative of 35*y**2\/2 + 38. What is a(k(q))?\nAnswer: 70*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25815 is divided by 1029.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*n - 22 - 66 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from offooooooo.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 + 5*u - 6. Let g be n(4). Let j(q) = -2*q. Let k be j(g). Solve -2 = c - k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.11 - 0.11. Let q = -298\/3 - -98. Which is the nearest to d?  (a) 2  (b) q  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1545 - 1437. Calculate the greatest common divisor of i and 600.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 8*t**2 + 3. Let a(b) be the third derivative of b**5\/10 + 3*b**2 - 32. What is c(a(k))?\nAnswer: 288*k**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 4757 + 4758 = -2*b, b + 6 = 5*j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1688367 (base 10) in base 5?\nAnswer: 413011432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -19*a**3 - 5*a**2 - 5*a - 1. Let w(n) = -10*n**3 - 3*n**2 - 3*n - 1. Let u(m) = 5*w(m) - 3*x(m). Find the first derivative of u(k) wrt k.\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 - -1*(2 + 0). Suppose n = -u + 1. Let x be (-3)\/(-2)*6\/(-9). Sort 3, x, u in increasing order.\nAnswer: x, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -11, -14, -15, -14, -11, -6?\n\"Answer: q**2 - 6*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6088 and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141008 = -5*z + 4*q, 4*z = 4*q - 2*q + 112804. Suppose -5*i - 70500 = -5*g, 2*i - 8*g = -11*g - z. Round i to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**16)**(-1\/30) assuming b is positive.\nAnswer: b**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9952 + 9956. Let -9\/7*p**2 - 6\/7*p**3 + 9\/7*p**s + 6\/7*p + 0 = 0. What is p?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c3 - 20?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8932 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*h**3\/5 - 149328*h**2\/5 + 557501154*h - 5574414244\/5 = 0. Calculate h.\nAnswer: 2, 37331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23212 - -110657. Let p = 25445 - b. Round p to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 2, -32, -4 in descending order.\nAnswer: 6, 2, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -104*l + 21 - 229 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 22.35 + -22.75. Put 0, c, 0.05 in increasing order.\nAnswer: c, 0, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2557+-86.148828237\nAnswer: -2643.148828237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -173  (b) 3\/5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114)*-4*6)\/(sqrt(24)\/(-4*sqrt(4)) - sqrt(6)).\nAnswer: 96*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 1, -2, 49747, 2.\nAnswer: -14, -2, 1, 2, 49747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*w = 6*i - 2*i - 37, 0*i = -3*i - w - 2*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2965880257?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, c: 3, p: 5, n: 2, k: 1, y: 1}. What is prob of sequence kpp?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4259.8*0.075.\nAnswer: 319.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 2*a + 13. Let b = -60 - -44. Let x be (10\/b*-2)\/((-5)\/20). Let v be p(x). Put -13, 5, -2, v in ascending order.\nAnswer: -13, -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 231845544*n**5 + 42749867*n?\nAnswer: 4636910880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21 and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 11891*a - 3958*a - 3967*a - 4 - 3963*a.\nAnswer: 3*a - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 461904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**2. Let y be 6*((-15)\/(-6))\/5. Let p(x) = -y*x + 3*x - 2*x**2 + 4*x**2. What is j(p(w))?\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 + 0)\/(-7) + 3. Let o(i) = -i**2 - 4*i - 5. Let p(r) = r**2 + 2*r + 3. Determine s*o(g) + 5*p(g).\nAnswer: 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 535, 583, 663, 775, 919, 1095, 1303?\nAnswer: 1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 8 = -2*g, -5*g = -4*w - 0*w - 56. Suppose -2*n = 2*n - g. Suppose 5*k - 6 - 4 = 0. Are k and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**2 - 3072*t + 786432.\nAnswer: 3*(t - 512)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 13) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 574*i - 5833*i + 76871 + 196597 for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.040879 + -0.03408. What is j rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - 4. Suppose 2*w = 6*w - 12. What is the third biggest value in w, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 6645 = -5*u, -95*x + 92*x - 2675 = -2*u. Calculate the highest common factor of 285 and u.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/5, 3290, -0.3?\nAnswer: 3290","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-2*(-6)\/(-9))\/((-6)\/(-45))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*q - 1417623 = -221706. Is q a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*t**2 + t**2 - 2*t**2 - 13*t**2 + 47*t**2 + 9*t**2 + (-1 + 1 + 2*t)*(3 - 3 + t) - 3*t**2 - 2*t**2 - 2*t**2 + 2*t**2 - t**2 + t**2.\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**0)**(-47))**(1\/12) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -121202 - -23300?\nAnswer: -31302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 0.3, -3\/8, 0.021, 52, -10?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (4\/666)\/((-4185)\/(-37665))\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3793945642 to the nearest integer?\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -304 = -3*p + 380. Suppose 13*n = 11*n + p. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 95250 to the power of 1\/2, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 11934 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 10247.99 rounded to the nearest one hundred?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yepgplev. What is prob of picking 1 y and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -196\/3 - -66. Let u = -17 + 6. Let h = u + 11.5. Which is the smallest value?  (a) h  (b) i  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8*(65\/40 + -2) - (1 + -271)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes before 3:35 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-one halves of a century in decades?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19 + (0 - -25) - 21) + -2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/199688 and -83\/5450?\nAnswer: 4992200","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: What is 5659794 divided by -2898?\nAnswer: -1953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9529375*t**3 - 14198755*t**2 - 2?\nAnswer: 57176250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -97*j**3 + 4*j**2 + 3*j + 1. Let v = -33 - -31. Is l(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 2, -2, -285, -6, -170 in descending order.\nAnswer: 16, 2, -2, -6, -170, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8106 - -16165. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9 + ((-828890)\/(-50) - 1\/(-5)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(16)\/(sqrt(8)*1) - (3*sqrt(2) + 0).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (72\/(-28))\/(7\/(-14945)). Calculate the greatest common divisor of 360 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1 - -0.4. Let h(l) = 2*l**2 + 23*l + 42. Let a be h(-9). What is the nearest to 1 in 1, o, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.22, 2\/13, -8, 79\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**3\/4 + 26537*f**2\/4 - 30541*f + 15936.\nAnswer: (f - 4)*(f + 5312)*(5*f - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2595 < 2596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 169463 = -8132*k - 203948 - 220225 for k.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d and 1 h when four letters picked without replacement from hdhdddddd.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 26 - 17. Suppose -5*x = -n*x + 24. Suppose 2*y + x = 22. Calculate the greatest common divisor of y and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqhhqhaaqah. What is prob of picking 3 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-41)\/12 - -3 - 1\/4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 1\/4  (b) 5\/3  (c) 22  (d) -2  (e) 0  (f) 40179  (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 1.3, 11.96, -0.4, -6, 0.01?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*j = -5*i + 15*j + 95, 0 = -i + j + 17. Is (i\/(12 + -3))\/((-2)\/(-8)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = 2*z - 7*z - 18, 2*z + 5*g = -21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 169\/6 or 27?\nAnswer: 169\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.0278 - -0.1522. What is the third smallest value in -0.4, -1, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-g - 4*g + 3*g)*(2 - 5 + 1) + 4*g - 5*g + 0*g - 2*g - 28 + 28)*(1 + g - 1)*(-2*g - 1 + 1).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 2*w**3 + 3*w**2 - 4*w + 1. Let r be a(1). Let n(d) = 95*d**3 + 3*d**2 - 7*d + 4. What are the prime factors of n(r)?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - ((0 - 8 - -7) + -4 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.9149 - 5.9149. Which is the closest to -10?  (a) -0.3  (b) -2  (c) 0.4  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*z - 507 = 93*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 3, -4*h - 2 - 196 = -2*b. Let q = -13 - h. What is the highest common divisor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*s*v*x**2 - 2*s*v*x + 3*s*x**2 + 4*s*x + 13*v*x**2 - v*x + 5*v - 159*x**2 - 452 wrt x.\nAnswer: 12*s*v + 6*s + 26*v - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 32 = -11*q. Suppose n = -5*i + 175, 0*n + 20 = q*n. What is the remainder when i is divided by ((-6)\/8)\/(1\/(-24))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**3 + 12*u**2 - 9147*u + 100510. Calculate h(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 228 divided by 114\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(5\/9)\/o**(-9) assuming o is positive.\nAnswer: o**(86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-7)\/(-3 - (-6 + 4)) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -40\/33 and -41\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -49 - 11?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -35.3 - -37. Let u = -0.2 - w. Let f = u - -1.899982. What is f rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**5 - 822*n**4 + 58728*n**3 - 332880*n**2 + 652848*n - 430944.\nAnswer: 3*(n - 134)**2*(n - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 35015296?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8.9 + 8.51. Let j = q + 0.19. Which is the third biggest value?  (a) -2  (b) 0.3  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/5 - 1056\/80 - -12.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10380)\/(-415) + (-8550)\/342.\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from {p: 6, w: 4, u: 8, i: 1, m: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 1\/48, 0.2, 9, -3\/7?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -27*d - 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 178 = 36*t. Suppose 5*l + 5*p = -115, 2*l - 4*p + 49 = 21. Is (-2)\/t + (-512)\/l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/9*(-3*(-10)\/33)\/(1108\/831).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.08  (b) 0.024  (c) -4  (d) -12.086  (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 + 9*h**2 + 97*h + 18. What is the smallest common multiple of z(15) and 6?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4225 - -4260. What is the remainder when 232 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 135252 and 535041.\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 4*a - 212 = 0, 2*a + 51 = l + 3. What is the tens digit of ((-2)\/4)\/((-2)\/l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9747133 and 11473?\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.7607031 rounded to two decimal places?\nAnswer: 10.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 31231019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -65 (base 9) to base 6.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5572*-231.\nAnswer: 128.7132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4 - (-49)\/(-4))\/((-9)\/24). Let i be 38\/88 + (-4)\/a. What is the third smallest value in -0.4, -1, 2.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 a factor of 81721597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 s, and 1 y when three letters picked without replacement from {m: 1, s: 4, j: 1, y: 1, r: 8}.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -1068*z**3 + 1065*z**3 + 16*z**2 + 613*z**2 as n + m*z**3 + y*z**2 + d*z and give y.\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 706 - 715. Suppose 0 = -4*q + 2*v - 4, 0 = 3*q - v + 6*v - 10. Which is the nearest to q?  (a) -2  (b) -3\/4  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.005288 rounded to 4 dps?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 879, 1749, 2621, 3495, 4371, 5249?\nAnswer: 6129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0139195321 to 5 dps.\nAnswer: -0.01392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 1 - 6*l - 8*l**2 - l - 6 - 1. Let c(j) = 24*j**2 + 20*j + 17. Let h(u) = 17*b(u) + 6*c(u). What is the second derivative of h(f) wrt f?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 4 - 6*r**2 + 3 + 2*r**2 - 2*r in the form a + g*r + x*r**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 - 4*c**2 + 2*c**2 + 4*c**2 - 3*c. Let f be x(2). Let g = f + -6. Let s(u) = -u**3 + 4*u**2 - 2*u + 4. Determine s(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45927782 to the power of 1\/3, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes before 5:32 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -0.4  (c) -9\/2  (d) 4  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5897247 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -0.6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 76952 = 2*g, 3*s = 5*g + 8*s - 192355. What is the derivative of 181 - 121*x**2 - g*x + 38473*x wrt x?\nAnswer: -242*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 36*r + 23. What is g(-4)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 3*f**2 - 6*f + 10. Calculate the remainder when 78 is divided by q(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*a - 30 - 30. Suppose 2*u + a*v = -4 - 14, -2*u - 2*v = 12. What is the common denominator of -46\/7 and (-3 + (-254)\/(-64))*(1 - u)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that j**3 - 9*j**2 + 20*j - 12 = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 3*f + 5. Let l(p) = -9*p**2 + 14*p + 14. Let a(v) = -4*v**2 + 6*v + 6. Let x(w) = 7*a(w) - 3*l(w). What is y(x(h))?\nAnswer: -3*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/7812*1090\/436*24\/(-15).\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -5*d**3 - 336*d**2 - 17*d + 422. What is m(-67)?\nAnswer: -2928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 4*m = -7, 12 = 3*o - 0*o - 3*m. Let j(u) = 66*u + 186. Is 26 a factor of j(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 - 73*t + 337. Determine k(57).\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4038 + 4037.9999992266. Round q to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -1.6.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -30 + 43. Let q = 19 - z. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -36443 - 2?\nAnswer: -36445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = s. Solve -o + 2*f + 5 = s, 2*o - 2*f = -3*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 6*l**2 - 5*l - 24. Let z be x(13). Let r be z\/20 + (-24)\/(-32). What is the greatest common divisor of 423 and r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -160*g**3 - 6*g**2 + 3*g - 5. Let y(h) = -159*h**3 - 4*h**2 + 2*h - 4. Give 2*w(n) - 3*y(n).\nAnswer: 157*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:51 AM and 10:21 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**2 - 10*z + 12. Let i(j) = -j**3 + 6*j**2 - 4*j + 4. Let h be i(5). Let k be q(h). Solve -g = k - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(1088) + -1 + sqrt(425) + -1 + ((-3*sqrt(153))\/sqrt(9) - (4 + sqrt(17) + 4)).\nAnswer: -14 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 22, 52, 116, 226, 394, 632, 952?\nAnswer: 1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 73252499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 37 - 6. Let k = g + -20. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 5187 a factor of 386576736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 412150?\nAnswer: 2, 5, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.4 + -18.4. Let q = 18.00022 + d. What is q rounded to five decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 66 - 2*m - 71 + 3*m. Let k(d) = 3*d - 14. Let o = -21 + 32. Suppose -o = -t - 0*t. Calculate t*s(p) - 4*k(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) -10.3  (c) -4  (d) 1624  (e) -3  (f) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -109 - -1559.\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*g**3 - 54*g**3 + 81*g**3 + 31*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -905, -1322, -1667, -1904, -1997?\n\"Answer: 6*s**3 - 459*s - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 4*h**3 + 51*h**2 - 26*h + 189. Calculate the remainder when j(-13) is divided by 46.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 6*o**2. Let x(u) = -8*u**2 - u. Give m(x(k)).\nAnswer: 384*k**4 + 96*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-9)\/(-21))\/(9\/24). Let t(v) = -6*v - 33. Let x be t(-5). Which is the closest to 2?  (a) x  (b) d  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 77 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*r**3 - 219 + 2*r**2 - 7*r**3 + 209 + 5*r**3 as a*r**3 + y*r + x + q*r**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + a**3 - 3 + 8 + (a**2 + 2*a**2 + 0*a**2)*(-10*a - 20*a + 46*a) as t + z*a + m*a**3 + v*a**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03533082 to three decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11400553 (base 6) to base 8.\nAnswer: 1273025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 301 + 11?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = 2*a - 4*w - 20, 0 = -4*a + 5*w + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36\/((-5)\/300*-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1713.7 - -1805. Round m to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of -r**4\/12 + 5*r**3\/6 - 2*r**2 - 11*r. Let g(v) = v**2 - v + 1. Calculate -4*g(f) - o(f).\nAnswer: -3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -15610, -31189, -46766, -62341?\n\"Answer: o**2 - 15582*o - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11124 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2105, -2118, -2131, -2144, -2157?\n\"Answer: -13*f - 2092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1756987585?\nAnswer: 5, 351397517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes after 4:07 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yaq when three letters picked without replacement from ydaqdymr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.13 - -0.23. Let i = f - -1. Let t = 28 - 27. What is the nearest to t in 1\/3, i, 1\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 3*b**2 - 6*b - 6. Let c = -10 - -15. Let r(u) = 2*u**2 - 5*u - 5. What is c*q(g) - 6*r(g)?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-153 + 28 - -95) + 82.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*b - 3*b + 2*b)*(1 + 5 - 5) - 155*b - 59*b + 20*b - b + 2*b - 3*b.\nAnswer: -189*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 509619 = -19193*b + 255326 + 2047831 + 317692 for b.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33 + 100 + -50 + 0 + -16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7 and 31633.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3136654 is divided by 11406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.65 - 4.74. Let u = 0.79 + t. Put 0.5, -18, u, -2 in ascending order.\nAnswer: -18, -2, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -13*p - 19. Calculate v(28).\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 455*t - 761*t - 3 + 4 - 1305*t to s*t + h and give s.\nAnswer: -1611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 5  (b) -0.1  (c) 2  (d) -0.66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 3 - 9 = 0. Suppose -s = -2*r - w, 2*s + 0*r + 2*r = 6. What is u in -u**s + u**3 + u**2 - 1 + 0 - u + 1 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1115 - 1487 + 875)*(0*k + 2*k - 3*k + (3*k - 3*k + 4*k)*(7 - 4 + 2)) in the form p*k + q and give p.\nAnswer: 9557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16968 by 4242.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*a + 63*a**2 + 13*a + 10*a.\nAnswer: 63*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -14554 times -16.9\nAnswer: 245962.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 1:15 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of j**4 + 471344*j**3 + 6576062*j**2 wrt j?\nAnswer: 24*j + 2828064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*k*t**4*u**2 + 4999*k*t**2*u + 3*k*t**2 + 2*k*t*u**2 - k*t*u - k*u**2 + 6447*t**5*u wrt t?\nAnswer: 168*k*t*u**2 + 386820*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -44 + 79. Let v(y) = 41*y**2 + 0*y - 4*y - 8*y - 10 + 166*y**2. Calculate the remainder when v(-1) is divided by f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g**(-2)*g))**(-2\/145)\/(g**(-1\/4)\/g**(-8)))\/((g\/(g**0*g))**10\/(g**(-2)*g)**0) assuming g is positive.\nAnswer: g**(-4511\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5591 and 2.\nAnswer: 5593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 (base 8) in base 14?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 337 - 223. Let x = -74 + j. Suppose 6*b - x = b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - -1. Suppose 5*h + s - 28 = -s, -x*h + 28 = 5*s. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h = 11 + 1. Suppose -f - 3*k = -12, -5*k = h*f + 3*f - 50. Let n(s) = -2*s - 5. Calculate the remainder when f is divided by n(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.4, -1\/6, -257, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (89 + -13 - 9) + -19.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the third derivative of -11*r**8\/336 + r**6\/30 + r**5\/10 + r**4\/6 + 4*r**2 + 15*r. What is the third derivative of c(x) wrt x?\nAnswer: -660*x**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pzzz when four letters picked without replacement from {p: 2, l: 4, z: 8}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-10))**(-39) assuming k is positive.\nAnswer: k**390","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 386327 is divided by 236?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3\/37 + -3553\/444. Let x be -5 + 1 + (-138495)\/(-77). Let y = x + -1793. What is the common denominator of y and z?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -5*d - 36, -2*d - d + 12 = 0. List the prime factors of (-6)\/q - 1264\/(-56).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-7) + (-10)\/35. Suppose -5*w + 223 + 217 = t. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -46 + 128 + 2*h**2 - 42 - 40. Let x(j) = -110*j. Give f(x(a)).\nAnswer: 24200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 - 3*w**2 - w - 15. What is t(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -27*p - 88. What is the remainder when 58 is divided by q(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 1. Let t(b) = b + 1. Let x = -156 + 154. Let m(k) = 2*k - 1. Let h(s) = x*m(s) + t(s). Determine 4*g(w) - h(w).\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26352, -105519, -237500, -422295, -659904?\nAnswer: -950327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (219\/146)\/((-1)\/(2*1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*j - 55 = 3*u, -2*u + 267*j - 262*j = 28 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2157 and 15018472?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 5674*5.44\nAnswer: 30866.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*y = 13*y + 4. Let o be (-44)\/66*18\/y. Determine s so that 22\/7*s**2 - 24\/7*s**o - 4\/7*s + 0 = 0.\nAnswer: 0, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3587349 is divided by 256236?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18615 + -18614.99975867. What is n rounded to 6 decimal places?\nAnswer: 0.000241","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (369\/18)\/((-1)\/2). Let c = a + 44. What is the derivative of -5 - 5*h**c - 4*h**3 - 3*h**3 wrt h?\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -2*s - 4, d - 7 = 3*s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -171 + 170 - (2 + -4 - -12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a century in decades?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 62585.59091 + -62585. Round k to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence umfa when four letters picked without replacement from {f: 2, u: 1, b: 1, p: 5, a: 2, m: 2}.\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*c + 2*c + 7*c)*(-3 + 6 - 1) + (0 + 5 - 3)*(3*c - 2*c - 3*c) to the form b + h*c and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -44*s**2 + 2296*s - 12512.\nAnswer: -4*(s - 46)*(11*s - 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 4, r: 1, o: 3, l: 2, q: 7, m: 1}. Give prob of sequence oolg.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**3\/f)**(-4\/9))**(5\/7) assuming f is positive.\nAnswer: f**(-40\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 1934*g**2 - 46404*g - 288. What is r(24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*k - 9 + 4 = -8*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a millennium in centuries?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-44)\/(-2 - -6) + 5)\/(27*225\/1620)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(5*((sqrt(567) - (sqrt(567) + 1)) + sqrt(567) + 2) - (sqrt(567) + -2*sqrt(567)*4)*-5) + 1)**2.\nAnswer: -9720*sqrt(7) + 2041281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in -60584, 3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 AM and 6:52 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -7*m. Suppose -2*o - 5*z + 3*z = -2, 3*o - 3*z = -27. Let s be o\/(-18) + 0 - 1508\/(-261). Let x(q) = -4*q + s*q - 6*q. Determine x(b(f)).\nAnswer: 28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44\/(-55) + -1 + 32\/(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 6*r + 55. Let z(d) = -3*d - 27. Give 4*y(x) + 9*z(x).\nAnswer: -3*x - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/17  (b) -4  (c) 0.2  (d) 71106  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v + v - 2*v)*(3*v + 0*v - 4*v) + 31*v**2 + 0 - 14*v**2 - 2.\nAnswer: 15*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-23)\/g)**25\/((g*g\/(g*g**30))\/g*g\/((g\/g**6)\/g*g)) assuming g is positive.\nAnswer: g**(-576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 11*o**3 + 3*o**2 - 9*o + 17. Let g(t) = 6*t**3 + 2*t**2 - 5*t + 9. Calculate 7*g(v) - 4*q(v).\nAnswer: -2*v**3 + 2*v**2 + v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-6)*(-2)\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 15*f**3 - 7 - 178 - 161*f**3 + 18 wrt f?\nAnswer: -438*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/5))**(-36)\/(x**(-3)\/(x*x**11\/x)) assuming x is positive.\nAnswer: x**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 5 - 9 = -2*r, h + r = 10. Let y be (9\/(-3))\/(h\/(-4)). Suppose 2*q + y*q + 20 = 0. Let l(d) = d**2 + 2*d - 4. Determine l(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(3\/5))**(5\/2) assuming j is positive.\nAnswer: j**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -412 - -412.183. Round n to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 0)*(61*j - 3 - 59*j + 5 - 5*j**3).\nAnswer: 5*j**3 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2965644.36us to weeks.\nAnswer: 0.0000049035125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3*-38)\/((-24)\/(-16)). Let w = 111 + t. Calculate the remainder when 85 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of -2*r**3\/3 - 1. Let g(x) = 6*x. Let l(k) = k. Suppose 4 = -3*q - 14. Let z(w) = q*g(w) + 33*l(w). What is z(j(u))?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 782278 divided by -14.\nAnswer: -55877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/6*(27 + -1). Suppose t - b = -d - 5, -5*d = -2*t + 44. Let g = -6 + t. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**3*k)**(-17\/3)\/(k**(2\/15)*k)**(-36) assuming k is positive.\nAnswer: k**(697\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7142*q = -7152*q. Factor 0 + q*o - 1\/2*o**2.\nAnswer: -o**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**3\/9 + 959*n**2\/9 + 3824*n\/9 + 3820\/9.\nAnswer: (n + 2)**2*(n + 955)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (-49 + -5) - 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29, -10, 6, 135, -2 in decreasing order.\nAnswer: 135, 29, 6, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 4*f - f + 1161 - 1161. Let z(k) = k. Let l(w) = 12*w. Let p(q) = 6*l(q) - 68*z(q). Determine 5*h(t) - 4*p(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -28*l**3 + 3*l**2 - 6. Let f(o) = 335*o**3 - 35*o**2 + 75. Calculate 2*f(q) + 25*y(q).\nAnswer: -30*q**3 + 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j**3 - 23*j**2 + 13*j + 13. Let o be k(-12). What is the closest to -25 in 0, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in 2\/3, 0, -172, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3 + 0 + 2 - -5. Suppose -10 = 2*z, l*r - 2*z - 2*z = 28. Suppose -r*m = m - 42. Is m 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) 1\/7  (b) -3.7  (c) 0.3  (d) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*d**2 + 8*d**2 - d**4 - 7*d**2)*((5 - 5 + d)*(0 + 3 - 4) + 2*d - 6*d + 0*d - d - 6*d + 2*d).\nAnswer: 10*d**5 - 60*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10063\/4 + -2500. Calculate the common denominator of i and 41\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 242 = 4*r + k, 2*k - 1 - 3 = 0. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-669)\/(-12) - (-1)\/4. Let j = d + -20. Suppose -2*w = -5*l + j, 0*l + l + 3*w = -3. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 5*m - 8. Let v(w) = 4*w - 7. Let s(r) = 5*l(r) - 6*v(r). Does 5 divide s(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01878649 to five dps.\nAnswer: 0.01879","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Simplify w**9*w**(-22) assuming w is positive.\nAnswer: w**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-4) + 8\/16 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -1\/2  (b) -1422  (c) -2\/5  (d) 432\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-20) - (1 + 21\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - -1. Is (n\/2)\/((-2)\/(-100)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {y: 3, i: 6, n: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/(-864))\/(46\/(-368))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 34245*c + 787647. Determine v(-23).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-6 - 3) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*o - 14 - 2. Let c be 2\/((2 - -1)\/(9\/o)). Suppose -s = 2*f - 15, 28 = 4*f + c*s - 1. What is the smallest common multiple of 2 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 72 = 5*d. Let w be (-8)\/d - 1\/(3\/(-40)). What is the remainder when 43 is divided by ((-96)\/(-56))\/(2\/w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o = 6*f - f + 37, 2*f - 2*o = -18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 23\/1086 in 117, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 9*c - 13. Give j(-7).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 AM and 9:59 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, 25, 0.1, -2\/7, -2\/11, 207?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13\/22 + (-22)\/2420*10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.02 - -0.28. Let k(n) = -n**2 - 4*n - 2. Let g be k(-2). Which is smaller: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + -1 + 7 + 3 - (-34 + 3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9974\/4011 + 52\/21. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6179 + 23238. What are the prime factors of w?\nAnswer: 7, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(80)*6*6 + 1 + ((sqrt(60)\/sqrt(3) + 0)**2 - sqrt(20)*-2*-6).\nAnswer: 21 + 408*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/(-40) + 9\/4 - 1. Factor -3\/2*p + v*p**3 + 3\/2 - 3\/2*p**2.\nAnswer: 3*(p - 1)**2*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 20 - (8 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 116388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 127*h - 119*h + 48 = 0. Let m(w) = 8*w**2 + 5*w + 41. Does 44 divide m(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the second derivative of 0*i**3 + 11 - 1\/33*i**4 + 0*i**2 + 1\/165*i**6 - 1\/110*i**5 + 4*i. Solve r(p) = 0 for p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -11*z**2 - 5*z + 11. Suppose 16 = -3*w + 1. Let k(g) = -7*g**2 - 3*g + 7. Give w*d(h) + 8*k(h).\nAnswer: -h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 24*a**2 + 33*a. Let q(n) = 86*n**2. Calculate x(q(d)).\nAnswer: 177504*d**4 + 2838*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -454*(-1)\/(-3)*(-231)\/(-14). What is the common denominator of -69\/20 and u\/(-2926) + 1\/(-7)?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26 - -45. Suppose 4*g - 2*t + 3*t = 17, 2*g - 3*t - f = 0. What is the remainder when 17 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(616)*-2)\/sqrt(11))\/(2*(sqrt(4) + sqrt(16)\/sqrt(4))))\/(sqrt(21)\/(sqrt(75) + sqrt(75)*2)*-6).\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22*6\/66)\/(-1*(-4)\/14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16475?\nAnswer: 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1345 is divided by 180?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(192))*5.\nAnswer: 10 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 690385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(6 - 8) - 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-41 - -5) + 11 - -38) + (1 - 5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 119*q**2 + 141. Let n(b) = -80*b**2 - 94. Let l be (5 + (-10)\/3)*(-4 - -1). Let p(u) = l*h(u) - 8*n(u). Differentiate p(a) wrt a.\nAnswer: 90*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 275 divide 558651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 10*f + 5*f = -178, 0 = 3*f + 6. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 352 divide 5489385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of c**3\/3 + 17*c**2\/2 - 17*c. Let d be v(-9). Let k be 10 - 2\/(d + 8\/4). Solve -2*f = 2*f - k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 146*n**2 + 181 with respect to n.\nAnswer: 292*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 169, -797, -2903, -6161, -10583, -16181, -22967?\n\"Answer: -2*p**3 - 558*p**2 + 722*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5a - 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - 5)*(-1)\/(-1). Let v(m) = m**2 + 3*m - 6. Let j be v(u). Suppose j*i + 1 = 21. Calculate the least common multiple of i and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*x + 10 = b, -60*x + 59*x = 15*b - 14*b + 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/(q\/(q*q**(-2\/5))))**33*(q**(-1\/4))**24)**30)**(-22) assuming q is positive.\nAnswer: q**(-9108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -865, -431, 323, 1391, 2767, 4445, 6419, 8683?\nAnswer: 11231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3141\/7*x**3 + 7131\/7*x**2 + 27\/7*x**4 + 1026\/7 - 5805\/7*x = 0 for x.\nAnswer: -114, -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -369 - 1038 = -41*u - 54 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3*-2*(-64)\/12. Let v = m + -13. Let p = v - 6. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 67984*d**2*t + 3615*d**2 + 2*d + 11 wrt t?\nAnswer: 67984*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.3, -13.277, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64672824?\nAnswer: 2, 3, 761, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*d - 83*d + 413 = -107*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 22 and (-1484)\/(-16) - (-9)\/(-12)?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -41808797*z**2 + 30*z - 455190 wrt z.\nAnswer: -83617594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2. Let i(w) = -6*w - 4*w**2 - 15*w**2 + 6*w. Give i(h(t)).\nAnswer: -19*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -7*q**2 - 26*q - 7. What is p(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aann when four letters picked without replacement from bnnababnbnbnnbnaa?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 8\/5, 196\/5, 141\/7, 2, 0?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 114043 divided by -3.\nAnswer: -114043\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13706 is divided by 183?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -4*m - 12, 5*m - 10 = -5*k - 0. Suppose 0*j - 5*l + 1 = 2*j, -k*j + 13 = -l. Let u = -7 - -12. Solve -2*y - j*y = -u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the second derivative of n**4\/6 + 4*n**3\/3 + 3*n**2 - 32*n. Solve y(x) = 0 for x.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 23689\/2 + -11846. What is the nearest to 4 in 5, 2\/33, 2, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -369.806763 + 402.8067733. Let v = t + -33. What is v rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*j + 20*o - 99 + 88, 7 = -3*j - 2*o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2 - 5024*g - 292866.\nAnswer: 2*(g - 2569)*(g + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*y = -5*y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (38 - 38 + 13*s)*(-2 - 2 + 14)*(0 + 0 - s**2).\nAnswer: -130*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - q + 6*q = 131, 2*q + 2 = 0. Let g = -31 + d. Differentiate -7 + 10*l + g*l - 12 + 14 wrt l.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 101101001010 (base 2) to base 6\nAnswer: 21214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 31 + 63*u**2 + 11*u**2 - 157 wrt u.\nAnswer: 148*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 211\/17220 and -151\/2100.\nAnswer: 86100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2ede (base 16) in base 4?\nAnswer: -2323132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 - 12*i - 7. Let x be v(-10). Let p(t) = x*t**2 + 2*t**3 - 19*t**2 + 2 + 2 + 6*t. What is the tens digit of p(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -363987, -727974, -1091961, -1455948, -1819935?\nAnswer: -2183922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 3*d = -d - 32208, -4*m + 42944 = 5*d. Suppose -6*b + 3*t - m = -2*b, -3*t + 13420 = -5*b. Is -4 + (-3)\/(12\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -60 divided by 2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -25 - -27. Suppose o*h = -5*s + 21, -4 = -3*s - 2*h + 7. Find the first derivative of 8 + s*f**3 + 4 - 6*f**3 - 14*f**3 wrt f.\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - z - 4 = 0, -a + z - 2 = -0*z. Let x(r) = -22*r - 3. Does 13 divide x(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57236.\nAnswer: 2, 41, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x - 2 + x**2 - 1 + 2*x. Let f be u(4). Let z = f - 11. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2749*-0.1.\nAnswer: 274.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 456 and 48?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18 + -36. Let w = l + 18.046. What is w rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1255186 and 5?\nAnswer: 6275930","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (57 - (-8 - -5)) + (26 + -36 - 5).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*c - 3*c. Suppose 2*m = 4*u + 4, 0*m - 2*u = -c*m + 6. Suppose -2*l - 4 = -3*q - 7*l, -m*q + 16 = 4*l. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 246 and 11.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeevveee. Give prob of sequence ev.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 PM and 2:10 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 447 + -3190.\nAnswer: -2743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/(-9) + 24\/(-18). Suppose 2*s + p - 11 = -9, d = -3*s + 2*p + 10. Find the third derivative of -7152*o**3 + o**s + 7152*o**3 - 30*o**6 wrt o.\nAnswer: -3600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 96 and 135048?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 492*b**2 - 989*b**2 + b**3 + 497*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**2 - c**2 + c**2)*((0 + 2*c + 0)*(-2*c - c + 5*c) + 7*c**2 + 2*c**2 - 2*c**2) + (-4*c**3 + c**3 - 5*c**3)*(0*c + c + 0*c) + c**4 + 0*c**4 + c**4.\nAnswer: -28*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -1634*b**3 + 291*b + 1635*b**3 - 291*b + 750 as s*b**3 + p*b + y*b**2 + c and give c.\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 26*m - 2. Let p be -7 + 5 - (-2 - 2). Let o be y(p). What is the greatest common divisor of o and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t\/(t\/(t*t*t**(4\/3)*t)))\/((t\/(t*t*t**5)*t)\/t))\/((t*t**(-6))\/t*t**(3\/7)\/t))**(3\/11))**43 assuming t is positive.\nAnswer: t**(15265\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.08 and 0.00733738.\nAnswer: 0.08733738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 - (-40 - -1 - -3). Differentiate 7*f - 4*f - 3*f - n*f**4 - 49 with respect to f.\nAnswer: -156*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 5, 1\/4, 2, 3, -1, 848 in ascending order.\nAnswer: -18, -1, 1\/4, 2, 3, 5, 848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 83 - 577\/7. Is l smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -346, -349, -362, -391, -442?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 25 = 4*h. What is the remainder when 16 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**2 - 12*a + 10. Let k be g(-9). Suppose r + 65 = 5*q, -r - k = -3*q - 0*r. Let s = 20 + q. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 5*z + 23 = -17, 2*z = -4*p + 2. Suppose 5*s = -2*l + 12 + p, -2*l = 0. Solve s = -a - 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8860 divided by 3?\nAnswer: -8860\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o - 12. Calculate n(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 28402176 and 9471.\nAnswer: 198815232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 + 2*a**2 - 1. Let o(z) = -2*z**3 - 4*z**2 + 3*z. Let v(c) = -3*g(c) - o(c). Let q(u) = 4*u**3 + 6*u**2 + 10*u - 10. Give -3*q(k) - 10*v(k).\nAnswer: -2*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1a01323 (base 13) to base 2\nAnswer: -100000100101100100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 71 - 52. Let z be (5\/3)\/(4\/12). Let j = z - 1. Solve -j*t - 3 + b = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - m + 6. Let d(k) = 3*k. Let b(h) = h**2 - 8*h. Suppose -165 = -4*x + r - 137, -2*r = 4*x - 40. Give m*b(j) + x*d(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -53*b**3 + 97*b**2 + 79*b - 131. Calculate a(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1659*w = -u - 1660*w, 2*w = 4*u + 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4\/14*((-6)\/(-32))\/((-5)\/(-140))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 92225067, 92225066, 92225077, 92225106, 92225159, 92225242, 92225361, 92225522?\n\"Answer: b**3 - 8*b + 92225074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.382872um to kilometers.\nAnswer: 0.000000004382872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139 is divided by 128?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 106*w**2 - w - 296 with respect to w.\nAnswer: 212*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 4  (b) -3  (c) -1  (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 729 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 3*o - 9, 4*u - 12*o + 53 - 17 = 0. Calculate the remainder when (-554)\/(-4) + (-1)\/2 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*w**2 + 27*w**2 - 3*w**2.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11448*d**2 - 2455*d**2 - 3189*d**2.\nAnswer: -17092*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -601589, -1203249, -1804905, -2406557, -3008205?\n\"Answer: 2*t**2 - 601666*t + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 2*b + 6 = 0. Let f be (-9)\/(-6)*(b - 0). Suppose f*w - 33 = 21. Calculate the remainder when 34 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1057 is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.69  (b) 3  (c) 1\/8  (d) -2  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 2:21 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the first derivative of h**3\/3 - 7*h - 6. Let i(y) = -9 + 2 + 5. What is 7*i(l) - 2*s(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 24\/2*(-1)\/2. Let z be (-29)\/9 - d\/27. Let a(c) = -c**3 - 2*c**2 - 4. Let n be a(z). Solve 0 = -n*i + i - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 6:52 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 12 = -2*h. Suppose -f + 2*f = -v, h*v + 3*f = 6. Let q be (17 + -2)*v\/9. Sort -5, q, 3, 19 in decreasing order.\nAnswer: 19, q, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5408460942 to the power of 1\/5, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*p - 5*p - 138. Let c = 31 - p. Let t be (-36)\/c*22\/(-3). Round t to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44*(12 + -20 - -9) - (-72)\/8.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 a when three letters picked without replacement from {e: 1, a: 2, k: 2, i: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*k**5*x - 4237087*k**4*x**2 + 12358*k**2*x**2 + 5*k**2 + 16*x wrt k?\nAnswer: -180*k**2*x - 101690088*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 3)*(-3*k**3 + 391*k - 391*k - 9*k**2).\nAnswer: -3*k**3 - 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 242 and 500452.\nAnswer: 60554692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18.966 + 19. Let u = 6 + -6.17. Let v = n - u. What is v rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -16*t**5 - 476*t**4 - 4568*t**3 - 14572*t**2 - 7584*t + 2880 = 0.\nAnswer: -12, -5, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 181188, 362457, 543796, 725205, 906684?\nAnswer: 1088233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*b - 3*n - 15, -2551*b + 4*n = -2548*b - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y + 12*y - 2*y)*(-1 - 3 + 2)*(36 - 7*y - 36).\nAnswer: 182*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 117418908?\nAnswer: 2, 3, 37, 373, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-308)\/(-4))\/(-7)*1)\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 21 = -29 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -250 divided by 1.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 15*d**2 + 139*d - 107. Determine c(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p + 2*s - 1306456 + 9253882, 5*s - 9934335 = 5*p. What is p rounded to the nearest ten thousand?\nAnswer: -1990000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1193768 and 53192?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2580, -10315, -23200, -41229, -64396, -92695?\nAnswer: -126120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -329*z. Let b = 12 + -13. Is v(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 10*w + 34. Let z(m) = -235*m**2. Calculate o(z(n)).\nAnswer: -2350*n**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13\/650*20 + 216\/10.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -123\/6880 and -9\/11008.\nAnswer: 55040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*b = -4*q + 36*b + 206821, -q = b - 51700. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 30\/3*(-8)\/(-10). Suppose -5*c + 0*c = 0. Suppose w*m - 3*m = c. Solve -4*y = 4*h - 8, 2*y = -h - m*h + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 9*t**4 - 8*t**2 - 6*t + 6. Let f(w) = 9*w**4 - 7*w**2 - 7*w + 7. Let m(s) = -7*a(s) + 6*f(s). Find the third derivative of m(h) wrt h.\nAnswer: -216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oookofloofofkofkooo. What is prob of sequence oflf?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 854.2741 millennia to decades.\nAnswer: 85427.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-110916)\/(-1638))\/((-30)\/10)*7\/(-2).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/(4556\/68))\/(1\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/23, 332, -1\/4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/88020 and -119\/162.\nAnswer: 264060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 25 - 25. Suppose 7*d + 294 + 154 = j. Let l = 64 + d. Solve l*q = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) 0.2  (c) 0.5  (d) -0.21  (e) 0.27  (f) -1\/7  (g) -218.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38 + 24 - 6 - 7*q**3 + 0*q**3 + 20.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -228*u**2 - 24827 - 18*u + 24757 - 92*u**2 wrt u?\nAnswer: -640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 58 - 52. Let n(g) = 3750*g**2 - g + 6. Let q be n(v). Round q to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.17 + -0.07. Put 3\/5, -3, w in decreasing order.\nAnswer: 3\/5, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-3\/4)*((a**(-22\/7)*a)\/a)\/a)\/(a**(-3)*a)**(-2\/3) assuming a is positive.\nAnswer: a**(-523\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 175425 or 175421?\nAnswer: 175425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3173 - 18*o**2 - 2043 - 4*o + 2*o - 2127 wrt o.\nAnswer: -36*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1369911 or -1370066?\nAnswer: -1369911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-2)\/7 - (4660\/(-35))\/4 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -604*h + 1211*h - 610*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 - 11.39\nAnswer: -11.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = 3*w - 5*h, 4*w + 8 + 42 = h. Find the common denominator of 11\/8 and 9\/w - 38\/(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 506121 and 795333?\nAnswer: 5567331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g**2\/2 + 1895*g - 3720591\/2 = 0. What is g?\nAnswer: -4599, 809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(((-2)\/44)\/(74\/148))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 20 = -5*m + 5*q, 3*m - 29 = -2*q. Suppose 4 = c - 0*d - 5*d, 3*c + 3*d = 12. Let x = m + c. What is the remainder when 32 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5381018 to the power of 1\/2, to the nearest integer?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 4481 divided by -836\nAnswer: -4481\/836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhmmmmmmmhmmm. Give prob of sequence mmh.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 41 - 10 = 0. Are f and 2\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*a - 31*a = 386028. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2551 - 43339\/17. Let y(o) = 11*o**3 + 65*o**2 - 23*o - 101. Let m be y(-6). Does m = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 = -4*r - 27. Solve r*u - 18 = -5*i - 2, -4*u + 3*i = -16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 15544*y**2 - 1086. Let u(z) = 6*z. Calculate k(u(g)).\nAnswer: 559584*g**2 - 1086","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 4*u - 786 = -0*s, -2*s + 321 = 5*u. What is the remainder when s is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2560) - sqrt(2560)*1 - sqrt(2560))\/(sqrt(72) + -1*sqrt(72) + sqrt(72) + sqrt(72)).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -16541233, -66164943, -148871127, -264659785?\n\"Answer: -16541237*x**2 + x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -728529, -728630, -728731, -728832, -728933?\nAnswer: -729034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 5*d - 17, -4*c - 2*d + 5*d = -31. Suppose 5*k - 5*o = 15, -5*k + 11 = 3*o - 4*o. Let j = c - k. Solve 4*h = j*h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121 = -39*g + 41*g + 5*v, -186 = -3*g - 3*v. Solve g*l = -130 + 571 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**19\/i*i)**(-40)\/(i**(-1\/10)*i**9))**23 assuming i is positive.\nAnswer: i**(-176847\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68.01041 millennia to decades.\nAnswer: 6801.041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3483 + -3483. What is the nearest to -1\/6 in 1\/5, t, 76?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from nfhkufhfufffrfkr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3904467 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 393 divide 3662501047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15 + 31. Suppose -7*c - 5*c - 1224 = 0. Let m = c + 214. What is the greatest common factor of m and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 AM and 6:36 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5024, 9973, 14928, 19889, 24856?\nAnswer: 29829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34 - (17 - -3) - ((3 - -53) + 2 + -5).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -2*x**2 - 218*x - 3807. Determine b(-87).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-85)\/(-153))\/(((-94)\/24)\/(1*45\/(-450)))?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + 334324?\nAnswer: 334321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2718538526?\nAnswer: 2, 11, 191, 593, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -5\/3, -3\/2, -5, 5.2, -0.1, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 56 + -62. Let q be ((-40)\/(-12) + -2)\/((-2)\/z). Solve q*k - 8 + 1 = 5*p, -p - 5*k = -16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 89 and 1157.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -18*y**2 - 5. Suppose -c = 3*p + 4*c + 20, p + 8 = -3*c. Let m(h) = 27*h**2 + 8. Let r(d) = p*m(d) - 8*k(d). Let s(g) = g**2. What is s(r(o))?\nAnswer: 81*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 803*r**3 - 2 - 1150*r**3 + 4.\nAnswer: -347*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**3 + 3*n**3 - 2*n**3)*(-3 + 3 + n) + 23*n**4 + 14*n**3 - 14*n**3 + (-1 + 1 - 1)*(-3*n**4 + 3*n**4 + 2*n**4).\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 + 9*t**2 - 25*t - 41. Let x be l(-11). What is the remainder when 64 is divided by x\/48*-2 + (-110)\/(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 47.6, -0.0417.\nAnswer: -0.0417, 2, 47.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17805 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 24*n - 3377. Let m(u) = 4*u. Calculate m(c(q)).\nAnswer: 96*q - 13508","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.08596 * 0.16\nAnswer: 0.0137536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 6*v + 1310 = -8*v, 3*o = v + 787. Let z = o + -556. Let x be z\/(-14) + (-9)\/(-63). Which is bigger: 20 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 14 - 119 = 0. Let s be (-11)\/(-66) + (-35)\/(-6). Suppose 5*h - 6 = -2*p, -s*h = -p - 2*h + 3. Solve -2*l = -6*l - p*b + r, -l = -4*b + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from {j: 2, a: 3, c: 1, z: 4, t: 6, q: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1222237056 a multiple of 4901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -70 (base 8) in base 9?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uvvuivu. Give prob of sequence vuvu.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 168891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of -17*b + 0 + 7\/4*b**4 + 11\/20*b**5 + 0*b**3 + 0*b**2. What is the third derivative of y(x) wrt x?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*k - 3*m + 38 + 6 = -11 + 17 + 1, k + 10*m = 5*m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of -u**3 - 8*u - 15\/7*u**7 + 0*u**6 + 1\/2*u**4 + 42 + 0*u**5 + 0*u**2. What is the third derivative of h(a) wrt a?\nAnswer: -1800*a**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(612) + 1 + sqrt(612)) + 0 + (sqrt(612) + -3)**2)*-2.\nAnswer: -1244 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of (7 - 17\/((-85)\/10)) + 12112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of t**6\/1080 - t**5\/72 + t**4\/12 - t**3\/3 + 19*t**2. Let u(o) be the first derivative of j(o). Factor u(c).\nAnswer: (c - 3)*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 163184?\nAnswer: 2, 7, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1\/24 of a week?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 749574859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = -10, 12624*i + g = 12629*i + 28 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68) - (-5*(sqrt(68) - (sqrt(68) + -1*sqrt(68))**2) - sqrt(68)) - (0 + 2*sqrt(68)).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of l**5\/60 - l**4\/24 + l**2. Let k be (0 - -11)*(-36)\/(-66). Let t(b) = -7*b**2 + 8*b - 2. What is k*m(f) + t(f)?\nAnswer: -f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 < -169100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 - 2210873592810.5.\nAnswer: -2210873592811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2401171cm to nanometers.\nAnswer: 2401171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the first derivative of -1\/15*q**3 - 5041\/5*q - 71\/5*q**2 - 239. Suppose y(w) = 0. Calculate w.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*x - 23 + 89. Suppose -x*v + 8920 = -9074. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000068781835 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1427 at least as big as 1424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*l - 26 = 6*l - 4*d, 6572*l + 3*d - 36 = 6567*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -161 + 16 = -29*l. Solve -49*y + 47*y - 3*n + 13 = 0, l*y - 30 = -5*n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15987 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3 + -1 + (11 - 7). Factor 2\/7*n**2 + 0*n + x.\nAnswer: 2*n**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/7)*c)\/((c*c**(-2\/17)*c*c)\/c)*(c**(2\/25)*c)\/c*c\/((c\/(c\/((c**(-16\/7)\/c)\/c))*c)\/c) assuming c is positive.\nAnswer: c**(14188\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of -m**6\/12 + 7*m**5\/10 - 7*m**4\/4 + m**3\/3 + 15*m**2\/4 - 9*m\/2 - 22. Suppose y(z) = 0. Calculate z.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*p**2 - 440*p + 217*p - 4*p**2 + 220*p - 192.\nAnswer: -4*p**2 - 3*p - 192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3 + 4)\/(1\/2). Let r(i) = 2*i**2 + 4*i - 2*i - z*i. Let m(b) be the first derivative of -b**3\/3 + 3. Calculate r(m(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, 4, -1, -32725 in increasing order.\nAnswer: -32725, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) - (sqrt(76)*2 + sqrt(76)))*-1)*-4)\/(sqrt(20)\/sqrt(720)).\nAnswer: 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2660957 and 354967.\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.02, -5, 3, 2, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 3*f - 39, 0 = -f + 6*f + 3*m - 33. Suppose -f*t - 30 = t. Let p be (t + 2)\/((-6)\/12). Solve 3*z + p*j = -3, -3*z = -8*j + 3*j - 18 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 16\/6*9\/(-6). Suppose 2*g = -15 + 11. Let z = g - b. Solve -z + 22 = 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 + -1.12. Let o = -0.02 - d. Let t = 3595.85 - 3596. Sort -0.2, o, t.\nAnswer: -0.2, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 0*a + 12 = -4*n, 20 = 5*a + n. Calculate the common denominator of 55\/13 and ((-62)\/(-15) - a) + (-683)\/60.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 69, -49, -245, -519?\nAnswer: -871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 22 and 22561950.\nAnswer: 248181450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001617 rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -5*w - 38. Let t be k(-9). Let y be 970\/35 + (-2)\/(-7). What is the greatest common factor of y and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -23 - 602?\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*z + 116 + 313 + 91 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - -520?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 81822.3 weeks?\nAnswer: 13746146.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1105?  (a) -2\/9  (b) 3\/5  (c) -0.3  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-6)*v\/((v\/(v**5\/v)*v)\/v*v))\/(v**(2\/5)*(v**(-6)\/v)\/v))\/((v**(2\/5))**15*(v*v\/v**(-1\/3))**(-36)) assuming v is positive.\nAnswer: v**(413\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 4*a**2 - a - 1. Suppose 0*d + 3 = -3*d - 4*p, 3 = -3*d - p. What is the remainder when 11 is divided by o(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-120)\/60)\/(22\/(-4))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/27 + 210\/(-27). Is (-171)\/(-12) + 2\/y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5927765*k**2*x + k*x - 230*k + 28*x + 1 wrt k?\nAnswer: -11855530*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(1\/3))**(-15)*b*(b\/(b\/(b**(-1\/2)\/b))*b*b)\/b*b*b**0)**(-40) assuming b is positive.\nAnswer: b**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 100\/150 + 102\/9. Determine t so that -q - 3\/4*t**3 - 27\/4*t**2 - 18*t = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1269112 divided by 2?\nAnswer: 634556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 214063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 4*d - 4 = 0. Suppose -4*h = 2*b - 8, -b = -4*h - d - 8. Let q(z) = -z**2 + 8*z - 12. Calculate q(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 653*g - 25215 = 168*g - 8725. Solve 285 + 21 = -g*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -366*g**2 + 11322*g + 796. Give x(31).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4 - 0)\/(-4) - 1. Suppose c = -i - 0*i + 3. Suppose 2*d - 12 = -2*d, i*d = 4*n - 583. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(((-196)\/14)\/(-84))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 4, 1, 14, -12 in descending order.\nAnswer: 14, 4, 1, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21345031 (base 6) to base 4.\nAnswer: -2123103223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*p - 4160 = -48*p. Solve -5 = -10*x + p for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -i + 7, 0 = 2*i + y - 4. List the prime factors of 118\/i - 16\/48.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence an when two letters picked without replacement from uiunianinnu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.856 - -1.144. Is -7 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of (-48)\/(-40)*(-5)\/(-3) - -1166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 328*s + 66916. Determine o(-204).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 1\/2, 7, -3, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s - 3*y + 3980, 11*s - 10*s - y - 1985 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(-5)*h**12)**(-1\/19)*((h**(3\/8)\/h)\/(h\/(h*h\/((h\/(h**(-2\/23)*h))\/h))))**(-2\/41) assuming h is positive.\nAnswer: h**(-72399\/71668)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -1  (b) -0.72  (c) 2  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1379697 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14.984 + 0.016. Let c = q + -15.01. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -n + 4*x, -3*n - 4 = -3*x - 1. What are the prime factors of n - (-420 + -4)\/4?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 181721.\nAnswer: 181721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 120, 115, 110?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119830541 is divided by 63.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 - 2472\/(-132) - 122\/198.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42\/4)\/((-2076)\/(-1384)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(1\/2)\/a**(-1\/8))\/((a*a**(4\/7))\/(a*a**(-7))))**(-1\/5) assuming a is positive.\nAnswer: a**(389\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*r**(-2\/5)))**(-15)*r*r**(1\/2)*r**3*r)\/(((r**(-6)*r)\/r)\/r**6*(r**(-6\/5)\/r)\/r*r**(2\/5)*r) assuming r is positive.\nAnswer: r**(133\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1088\/(-192) - (-14)\/2. Sort q, -0.05, 15 in decreasing order.\nAnswer: 15, q, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 2*t + 19. Let p(y) = y + 9. What is 6*h(l) - 13*p(l)?\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 3 = 4*n - 5, -n = 5*a - 2. Suppose 0 = 2*i - i + 2*c, -n*c - 24 = -2*i. What is the smallest common multiple of 122 and i?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 36*g + 109. Let u be h(-3). Is 1\/348 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 7*s**3 - s**2 - 7*s + 7. Let m be j(3). Let d = 76 - m. Let r be 4\/(312\/15)*(-24)\/d. Which is smaller: 2\/9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 91859.82 micrometers to kilometers.\nAnswer: 0.00009185982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6095481*c**3 + 164125738*c**2 wrt c?\nAnswer: 36572886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5463 + -1727. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 700.179 - -1.321. Let h = u + -702. Which is the third smallest value?  (a) 2\/7  (b) -4  (c) -1  (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 0)\/(39\/(-273)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.07  (b) 0.4  (c) -39924\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -194*r + 6643 = -121*r. Solve 10 = 5*s + u, 3*s - u + 77 - r = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, 0, 7 in descending order.\nAnswer: 7, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -37, -30, -23, -16?\n\"Answer: 7*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 - 25*j**2 + 24*j + 39. What is y(24)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/2 in 0.29, 5, 22196?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -4, -40, -88, -154, -244, -364?\n\"Answer: -k**3 - 29*k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 274115477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1007 + -1007.1. Suppose -11 = 7*v + 10. Sort k, v, -0.6 in ascending order.\nAnswer: v, -0.6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57434.82 micrometers to millimeters.\nAnswer: 57.43482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 3\/5, -1\/3, 2\/23, 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/(-288)*6*-4)\/(63\/(-14)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-28)\/49)\/((-13)\/((-273)\/30))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68067.\nAnswer: 3, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-5)*(-3)\/(-3)*1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4497440901 to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {q: 1, g: 2, v: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 62 + 153. Suppose -197 + p = 14*n. Let d be (-1 - -12)*-1 - -1. Is d bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - (0\/4 - 2). Let t(v) = v + 17. Let n be t(y). Let a = n + -7. What is the lowest common multiple of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -1\/8, 0.3, 1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 11, v: 1, x: 2}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -p**4\/5 + 322*p**3 + 6453*p**2\/5 + 4842*p\/5 = 0?\nAnswer: -3, -1, 0, 1614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 9, 76, 187, 342?\n\"Answer: 22*x**2 + x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -7 + (-19 - -12) + 3 + -26 + -1\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 506 - 506 + 5790*v**3.\nAnswer: 5790*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j = 5*x + 36066951, -3*j + 15964721 = -4*x - 12888900. What is x rounded to the nearest ten thousand?\nAnswer: -7210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 106\/8 + 1\/(-4). Let f = 101\/13 + 217\/39. Let p = f - r. Which is the third smallest value?  (a) 0.5  (b) 0  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -249782 divided by -81?\nAnswer: 249782\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -4451?\nAnswer: 2\/4451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-54)*-12*4\/(-32)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 3*g = -69661, -55748 = -4*m + g + 3*g. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + 37 + -36 + 5 + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -3. Let h be -1 - -6 - (1 - a). Find the third derivative of -w**h - 3*w**4 + 6*w**4 + w**3 + 3*w**2 wrt w.\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 4 = -2*s, 3*y - 34 = -2*s. Let m(h) = -h**3 + 11*h**2 - 11*h + 10. Let d be m(y). Solve d*g = 3*g + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/7 - (-852)\/42. Suppose -j - b = j. Is 2 a factor of (-2)\/(j\/4 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 10574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 44698499*i**3 - 87755*i**2 + 356 wrt i.\nAnswer: 268190994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18254 is divided by (-253 - -252)\/(1 - 360\/358).\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = 2*o + 8 - 12, b - 5*o + 13 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1586568*m**4 - 5199*m**2 - 227 wrt m?\nAnswer: 38077632*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - 9. Let x be 32*1*w\/2. Solve 12 = -2*p + 2*t, -2*p + 4*t = x - 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the third derivative of -1\/120*x**6 + 0 + 1\/6*x**3 - 1\/60*x**5 + 1\/24*x**4 + 0*x + 2*x**2. Factor m(o).\nAnswer: -(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 2 e when four letters picked without replacement from {e: 3, p: 1, i: 4, v: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -q*v*x**3 - 13*q*v + 6*q - v*x + v + 10*x**4 with respect to x.\nAnswer: -3*q*v*x**2 - v + 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**5 + p**4 + 12*p**3 + 4*p**2 - 16*p.\nAnswer: -p*(p - 4)*(p - 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -70365173, -70365169, -70365163, -70365155?\nAnswer: -70365145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 3*v**2 + 95*v + 14. Let d(x) = x**2 + 48*x + 6. Determine 7*d(g) - 3*l(g).\nAnswer: -2*g**2 + 51*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 176*j + 277*j - 1 - 87*j + 67*j.\nAnswer: 433*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 - z. Let h(r) = -r**3 - 8*r**2 - 2*r - 10. Let p(m) = -c(m) + h(m). What is p(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2378.21921162 plus -3.1?\nAnswer: 2375.11921162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.1, 4\/3, -22?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*r = -58*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 16.71641 litres?\nAnswer: 16716.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 11*m + m - 2 + 3*m**2 - 342*m**3 - 1047*m**3. Let k(u) = -695*u**3 + u**2 + 6*u - 1. Let v(c) = -13*k(c) + 6*t(c). Is v(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 41 + -57. Let n be ((-6)\/(-4))\/((-1)\/(-48)). What are the prime factors of v\/n - 382\/(-18)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 13514061 and -1289.\nAnswer: 13512772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b**3 - 3*b**2 - 2*b - 1. Let f(n) = -n**4 + 1272*n**3 + 21*n**2 + 2830*n + 6. Let j(q) = -f(q) - 6*i(q). Find the second derivative of j(k) wrt k.\nAnswer: 12*k**2 - 7704*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 497144 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100725393 = -11*v + 193046228. Suppose -5*q + 16893489 = -v. Round q to the nearest one hundred thousand.\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/((10\/(-9))\/(-5)). Let q(b) = -b + 8. Let g be q(p). What is the tens digit of (g - -4) + 4 + 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mdl when three letters picked without replacement from {e: 2, d: 1, c: 2, z: 3, l: 2, m: 4}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i**(-3\/4)\/i)*i*(i\/i**(-2\/23))\/i)\/(i**(-10\/11)\/(i*i**3)))**(-4\/15) assuming i is positive.\nAnswer: i**(-8851\/3795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -16, -13, -10, -7?\n\"Answer: 3*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.3 from -110318321079.\nAnswer: -110318321078.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.2 - 3. Let u = -0.73 + -4.27. Suppose r - 3*r = 5*k - 18, 2*r - 2 = -k. What is the biggest value in u, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 406798 is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 13910\/6 + -11 + (-2)\/6. Let i(d) = 4616*d - 2309*d - s*d + 11*d**2. Let f(k) = -3*k**2. Determine i(f(o)).\nAnswer: 99*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of u**3\/6 + 5*u**2\/2 - u. Let m(h) = -h**3 + 4*h**2 - 6*h + 9. Let x be m(3). Is g(x) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -191949 = -5*t + n, 4*t + 2*n - 61740 = 91808. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -155*x**3 + 24*x**3 + 117*x**3 - 15*x**3.\nAnswer: -29*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 13 + -8 + 3 + 7 + -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -19.6, 1\/5, -4\/11, -5, 4 in ascending order.\nAnswer: -19.6, -5, -4\/11, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6847 - 3834. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -186, -187, -188, -189, -190, -191?\n\"Answer: -p - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/4 + 24*f - 2079\/4.\nAnswer: -(f - 63)*(f - 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - -5.8. Let m = -7.8053 + g. What is m rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -111*y + 4446. Calculate the lowest common multiple of r(24) and 144.\nAnswer: 14256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 3636967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2538)\/(-8) + -3*3\/36 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 346*q - 1927. What is the thousands digit of t(39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/25 in -2\/19, -23, 506, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 715, 706, 683, 640, 571?\n\"Answer: -n**3 - n**2 + n + 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 3) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -28  (b) -0.06  (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*u = 17*u + 798. Calculate the highest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6791342 + -1177?\nAnswer: -6792519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1163)\/(-17445) + (-1058)\/120)\/((-2)\/8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dggd when four letters picked without replacement from {g: 15, d: 4}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1605*d**3 + 1398*d**3 - 2586*d**3.\nAnswer: -2793*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = -17 + 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 2*x = -3*c - 1084, 2*x = c - 548. Suppose 8304*m - 8221*m - 1549 - 1273 = 0. What is the greatest common factor of c and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7316*h**2 + 14705*h**2 + 2*h - 585*h**3 - 7389*h**2.\nAnswer: -585*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 505*m + 463*m - 29040 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 475*a**2 - 34*a - 51. What is the thousands digit of t(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1642701*h**5 + 4*h**3 + 23*h + 378484.\nAnswer: 32854020*h**3 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8921480 divided by 446074?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 10, m: 10}. What is prob of sequence mmj?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 24439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 819181676*h**4 + 1013513460*h wrt h?\nAnswer: 9830180112*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 52 - 42 = 0. Suppose 0 = 4*l - t - 9. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122 = 5*z + 2*b, 29 = -2*z + 3*b - 16. Let o = z - -18. Let d be (11\/99)\/(2\/o). What is the third smallest value in -0.4, d, -16?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 402\/5 - 80. Let u = 8.3673 + -0.3673. What is the nearest to -2 in 1, x, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29882490 divided by -5976498\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.5 and 0.04802?\nAnswer: 0.12005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52056689?\nAnswer: 52056689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 789500 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11300436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**2 - 3*a + 18. Let b be f(-6). Suppose -2*g + g = -5*s - 15, 2*s = b. Solve -3*i = -g - 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -238429, -476442, -714457, -952474, -1190493, -1428514, -1666537?\n\"Answer: -s**2 - 238010*s - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -19*q + 17. Let g(o) = -54*o**2 + 13*o + 3. Calculate g(j(t)).\nAnswer: -19494*t**2 + 34637*t - 15382","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pionio. What is prob of picking 1 p and 1 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7786 = -57*r + 7957. Solve 22 = 3*t - 4*n, 0 = -r*t - 3*n - 13 + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 778.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4*-2 + -2)\/(-1). Suppose 5*d - b = 15, -2*d + 20 = -5*b - 9. What is the greatest common divisor of j and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 9*j - 16 = 0. Suppose j*h - h - 675000 = 0. Round h to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 264160 to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -757 - -2291\/3. Determine s so that g*s**2 + 2\/3*s**5 + 20\/3*s**3 + 10\/3*s**4 + 10\/3*s + 2\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the third derivative of -j**5\/60 + 13*j**4\/24 + 5*j**3\/3 + 137*j**2. Is m(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 125343 and 703.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -181035049, -181035046, -181035043?\nAnswer: -181035040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 PM and 12:54 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of j**7\/560 - 37*j**6\/80 + 293*j**5\/160 - 73*j**4\/32 + 8281*j**2. Suppose r(u) = 0. What is u?\nAnswer: 0, 1, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 280 - 32 = 0. Suppose -4*q - 64 = -d. Let m(y) = -y**3 + y**2 - 2*y + 5. What is the remainder when q is divided by m(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = 6*d - 2*d. Suppose 0 = 4*l + l - d. Factor 2 + 7*o**2 + 5*o - 1 - l.\nAnswer: (o + 1)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, c: 1, r: 1, s: 5, h: 1}. What is prob of picking 1 s, 1 r, 1 h, and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77889678.3ns to weeks.\nAnswer: 0.00000012878584375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9073 = 822*k + 3257 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 - 2*p**3 - p + p - p**3 + (p**2 + p**2 + 2*p**2)*(2*p - 2*p - 2*p) + 0*p**3 + 2*p**3 - 3*p**3.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(-3 + -2*sqrt(112)))**2 + 4 - (-5 + 3*(sqrt(112) - (sqrt(112)*-2)**2))*-3)*2.\nAnswer: 1608*sqrt(7) + 6538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 197 + -191. What is the common denominator of f\/33 + -5 + 525\/198 and 167\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 AM and 6:45 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**2 - 2*v + 2*v)*(-v - v**2 + v - 113 + 113 + 13*v**2 + (-3*v + 5*v - 4*v)*(-2*v + 0*v + 0*v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 18979123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**2 - 25*q - 19. Let h be n(-2). Solve -8*k + 51 - h = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = -3*r + 120 - 138, 0 = 3*r - k + 18 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 4 + 2. Suppose -2*p = -5 - n. Suppose 23*i - 15*i - 32 = 0. Solve -2*b - 5*k = -p*b + 13, -i*b = 4*k - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.67 - 86079562643.\nAnswer: -86079562647.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fci when three letters picked without replacement from cicficfocccccofrc.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -36828257 + 36828289.796151. Let t = i - 33.39615078. Let x = -0.6 - t. Round x to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (3\/(-4) + 8\/(-192)*46).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -8. Let a(f) = -9*f**2 - u*f**2 + 6*f - 4 + 1. Let b be a(7). Round b to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -1425\nAnswer: 427.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 14785327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 - 5*z**2 - 2*z + 5. Let j be o(5). Let p be (-4)\/(60\/(-63)) - 4. Which is the second biggest value?  (a) p  (b) -1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -165*q. Let i(o) = -31*o. What is f(i(g))?\nAnswer: 5115*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes before 9:35 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 904\/23 in 2\/719, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/12 in -32, -0.1, 11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*o**2 - 2*o**2 - o**2)*(3*o - 4*o + 3*o)*(21 - 13 + 17) as g*o + t*o**2 + n*o**3 + u and give n.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2428 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.6449961 centuries?\nAnswer: 64.49961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -2\/11 and 1*((-285)\/12 - 0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jlvlpivpjlpviopj. Give prob of picking 1 j and 1 l.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = 3*x - 12*x. Let p(n) = -n**2 + 7*n + 9. Let i be p(8). Let -x*y - 8*y + 7*y - i - 3 - 2*y**2 = 0. Calculate y.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 29 and 185252.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (19 + -38 + 81 - 21) + 91.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 34454904 and 20508?\nAnswer: 34434396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -61*x + 1. Let b be m(-1). Let h = 99 - b. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*b**4 - 827192*b**3 + 9099696*b**2 + 20680952*b + 10754068 = 0. Calculate b.\nAnswer: -206809, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 a factor of 1907856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2416315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 407651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 18*d**2 + 3*d + 4. Let s be (2\/6)\/(84\/(-18) + 5). Let z(i) = i**2 - i - 1. Let a(f) = s*r(f) + 6*z(f). What are the prime factors of a(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) -2\/7  (c) -4\/3  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7515*a - 7701*a - 10044 = 0 for a.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -2*a - 5. Suppose -2*g - 3*r - 25 = 0, -43 + 13 = 2*g + 4*r. Let f be x(g). What is the smallest value in 0.1, 1\/2, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/4)\/(3\/28). Let w be r\/(-6) + 2\/(-3). Let a(v) = -2*v - 5. Let c(o) = 1. Suppose -k + 1 = 2. Calculate k*a(n) + w*c(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 AM and 5:25 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16 - -11. What is the tens digit of n*(-15 - (-4)\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30 + -30. Let a(r) = k + r**2 - 2*r**2 + 9*r - 6. Calculate a(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -32, -29, -26, -23, -20, -17?\n\"Answer: 3*a - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 80\/3211 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.969 and 63.\nAnswer: 62.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 - 314455\/(-13) - 6\/(-39) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 46\/15 and 76\/1929?\nAnswer: 9645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -63*b - 346. What is p(-6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 6 = 0, -v + 2*v = 2*h + 503. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**3 + 4*s**2 - 6 + 9*s**2 + 8*s - 2*s**2. List the prime factors of l(-10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -6 + -6 + 1462\/119. Is d less than or equal to -0.36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -349500*r**2 - 3728*r - 3728. Let m(c) = -937*c**2 - 10*c - 10. What is -5*k(q) + 1864*m(q)?\nAnswer: 932*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 52\/1343 and -179\/1490832?\nAnswer: 117775728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 26, 4 in descending order.\nAnswer: 26, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 138186876*z**6 + 1578*z**2 - 6*z - 61.\nAnswer: 16582425120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 160388 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*d**2*v**4 - 7*d**2*v**2 - 2*d*v - 4*v**5 + 3*v**2 wrt v?\nAnswer: -192*d**2*v - 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of -23*h**4\/12 + h**3\/3 + 2*h**2. Suppose -41 + 37 = 4*s. List the prime factors of v(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 75*y**4 + 39*y + 3.\nAnswer: 900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - o - 3 - 7 = 0, -2*p - 3*o - 8 = 0. Let x be p + -1 - (1 - 1). Let z be -1*(x*-2 + 2). Solve 3*h + 7 = -z*v - 2*v, h = 4*v - 21 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-334)\/(-66) + -41 + -17 + 53 - (-472)\/(-12144)?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -44\/35 and -9\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 48603\/23 or 2114?\nAnswer: 48603\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(2\/9))**(-7))**(2\/119)\/(i\/(i*i**(-2\/7)*i)*i**3*(i\/i**(5\/4))\/i*i**(-5)) assuming i is positive.\nAnswer: i**(16871\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 29314*l**2*p**3 + 69*l*p**3 - 34*l*p**2 wrt l.\nAnswer: 58628*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 16  (b) -72576  (c) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -23 - -28. Suppose 5*o - 93 = 3*i, 2*o - z*o - i = -53. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -162*h**5\/5 + 2178*h**4\/5 - 9494*h**3\/5 + 12606*h**2\/5 + 6768*h\/5 - 17672\/5 = 0.\nAnswer: -1, 2, 47\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 430 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 85160874, 85160876, 85160878?\n\"Answer: 2*b + 85160872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(153)*1)\/(sqrt(9) + sqrt(9) + sqrt(36)\/sqrt(4)*-5) - (sqrt(17)*-1*-3 - ((sqrt(17) + -1)**2 + -5))*-1.\nAnswer: -13 + 17*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((6\/9)\/(-1))\/((-42)\/63). What is the nearest to -2\/33 in 4, y, 1\/7, 0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1603 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aak when three letters picked without replacement from xtakkkbzbazxkxbkatz.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 45 and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 147 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*x, u - 6*x + 5*x = -6. Let g(a) = -12*a - 6. Calculate the remainder when g(u) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 0, -9, 5, 0.5, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, -10, -44, -96, -166?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 28  (b) 3\/5  (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5743 > 5732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 220831, 220933, 221035, 221137?\n\"Answer: 102*n + 220729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -3338 and -1.\nAnswer: -3339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uly when three letters picked without replacement from {u: 3, y: 8, l: 1, c: 3, t: 1, k: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 63a97 - -a1?\nAnswer: 64088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -161, -1, 0, 4, -62, -7 in increasing order.\nAnswer: -161, -62, -7, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -540 + 540. Suppose 11*k + 0 + 44 = t. Let g(l) = -2*l**2 + 3*l - 2. Calculate g(k).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.5, 12\/55, 5, 7\/8, 0, 2, 3?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75134.\nAnswer: 2, 37567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1)\/(-3))\/(11 + -27 + 15). What is the nearest to m in -4, 212, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-n**2 + 0*n + 0*n)*(-3*n + 4*n + n) + 21*n**3 - 12*n**3 + 14*n**3 - 3*n**3 + 10*n**2 - 10*n**2 to the form x*n**2 + o*n**3 + a*n + k and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 + 3*w**2 - 2*w - 4. Let d be k(-3). Suppose -4*z = -d - 2. Let v = 17 - 17.4. What is the closest to z in -4\/9, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2 + 21*g + 81. Determine f(24).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -90, -257, -546, -963, -1514, -2205?\nAnswer: -3042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (45 - 54) + -3 + -14 + 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -2*r - 8. Let q be g(-7). Let s be (10\/q - 1)*-3. Let v(f) = f - 1. Let j(i) = -2*i**2 - 2*i + 4. Let u(m) = s*v(m) - j(m). Factor u(o).\nAnswer: 2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23392 (base 12) to base 4.\nAnswer: -23201132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(77)*-1 + sqrt(77)))\/sqrt(11) - sqrt(56)\/((sqrt(8) - sqrt(72))*5 + sqrt(8)).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-36)\/(-21))\/(-2 - (-805)\/392). Is 22 a factor of 1\/1*(1291 - c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hjfwhfphwpyw. Give prob of picking 2 f, 1 w, and 1 y.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10278 in 11\/3, 1.88, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 2*o = -57, 3*y + 59 = -5*o + 97. Let h be (4 - y)*9\/(-21). Solve -4 = i, 5*f - h*f - 4*i = 16 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 884 is divided by 264?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 + 7*d**2 + 8*d + 6. Let j be h(-6). Let n(c) = 2*c + 1. Let x be n(j). Let i = 16 + x. Solve -4*f + g = 2*g - 12, 4*f - i*g = 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113 a factor of 1352504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -32*l - 28 + 50 - 22 in the form c*l + o and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 5*c = 10, -1785*x + 1947*x + c - 805 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + i - 87 = 0, -5*w + 3*i + 2*i + 115 = 0. Calculate the remainder when 130 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.02, -1, -15, 0.3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*r + 0 + 1 - 3)*(-2 + 2*r**3 + r - r).\nAnswer: -34*r**4 - 4*r**3 + 34*r + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + -148?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -d - 4*g - 24, 5*d - 12 = -g. Solve 9 = 3*q + d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 - 30\/(-8))*4. Let y(w) = -2 + i - w - 2. Let m be y(4). Which is smaller: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2255682?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -4*x - 17 + 50, -4*g + x + 6 = 0. Let u = 2 - 7. Sort g, u, 6, 2 in ascending order.\nAnswer: u, 2, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 + -3)\/3*(333\/(-9))\/(-222)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-6)\/10)\/((-5)\/125). What is the common denominator of 61\/4 and (0 + 183\/m)\/(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -39\/2 and 23\/27838?\nAnswer: 27838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24627 is divided by 244?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 16*x + 4 - 5)*(-4*x + 2*x - x)*(2*x**3 - 5*x**3 - 2*x**3).\nAnswer: -240*x**5 - 30*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-10 - -2) - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-4))\/(-3)*(-215)\/215.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11959 and 3432.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (172\/(-5))\/((-6286)\/(-525) + -12)?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 17*l**5 - 5*l**4 + 5853*l**3 + 112177*l**2 wrt l?\nAnswer: 1020*l**2 - 120*l + 35118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 38 - 13. Suppose 100 = -4*x - 4*c, 95 = -5*x + 4*c - 57. Let a = 47 - x. Calculate the greatest common divisor of s and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9538 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 75 + -149. Let d = 1095.19 + -1021.479. Let w = d + j. Round w to 2 dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 6*a - 2. Let p(c) = c - 15222 + 15222. Determine x(p(y)).\nAnswer: 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -4*g, 2*u + 3*g + 15 = 3*u. Let q(n) be the first derivative of 0*n**2 + 3 + u*n - 1\/3*n**3. Let d(r) = r. Determine d(q(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the second derivative of -3*r**3\/2 - 4*r**2 + 3*r. Let d be m(-4). Calculate the highest common divisor of d and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 72 + -36. Suppose -7*l = 10*h - 10*l - 49, -4*h + 25 = -3*l. What is the highest common factor of d and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(27) + -1 + sqrt(192) + 0)**2)*2.\nAnswer: -44*sqrt(3) + 718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21 + 20 + -19 + -1 - (1 - 15)) + -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(65)*-1 + sqrt(65) + sqrt(65))\/(-1*sqrt(20)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = -3*a + 834. Let g = -142 - a. What is g rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/18 and -1\/99?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 28\/3 of a week?\nAnswer: 94080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2 - 23*i - 22.\nAnswer: -(i + 1)*(i + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -3*(4 + -2*(sqrt(475)*-4 - sqrt(475))**2 + (-2*sqrt(475) + -4)**2)*-6.\nAnswer: -392941 + 1440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 161.095 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2 - 944*h**4 - 11*h**5 + 938*h**4 - 3*h**2 + 62*h + 2 wrt h.\nAnswer: -660*h**2 - 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -47.87 + -547391.4448.\nAnswer: -547439.3148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 + 6*h**2 + 5. Calculate the lowest common multiple of q(6) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -1119\/43, 2\/3, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-44)\/(-506) - (30722\/(-69) + (-3)\/(-9)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -8*h**3 + h**2 - h + 1. Let k be c(1). Is k at least -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 16) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 PM and 6:26 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**2 + v**2 + v**2)*(-48*v - 8*v + 14*v)*(v**2 + 0*v**2 + 4*v**2).\nAnswer: 210*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v\/(v*v**6\/v*v)*v)\/(v*v*v**(-8\/5)*v)*v**15*v\/(v**(-2\/3)*v)*v assuming v is positive.\nAnswer: v**(184\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 293354582 and 1327.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 + x**2 + x + 2. Let w be f(0). Suppose 2*j**w - j**2 - 4*j + 5*j = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*s**3 - 29360*s + 4*s**3 + 29383*s + 6*s**2 - 1 to the form t*s + m + n*s**3 + l*s**2 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -4*l + 5*l + 4*q, -5*q = -5. Let s be (4\/l)\/(10\/8). What is the closest to 5 in s, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of k - 3 - 1\/2*k**2 + k**4 + 0*k**3. Calculate u(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 + -6. Suppose 81 + 51 = n*x. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*b + 5*b - 42655. Differentiate 42 + 8531*t + 32*t**3 - b*t wrt t.\nAnswer: 96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 2*a**2 + 83*a + 363. Give d(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**1)**19)**(-27)\/(j**(-3\/5)*(j\/(j**(-6)\/j))\/j)**3 assuming j is positive.\nAnswer: j**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 9:56 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109*w + 33 + 273 = -457 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6412 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(((sqrt(153) - sqrt(153)*3)*-6)\/sqrt(9))**2.\nAnswer: -4896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**2 + 5*u + 3. Let w be m(5). Solve 0 = w*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 1260?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -918*p + 510. What is the thousands digit of a(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llblppllblbbllplll. What is prob of sequence pb?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 38*j**2 - 12*j + 29. Let s(h) = 19*h**2 - 5*h + 13. Give -7*s(g) + 3*v(g).\nAnswer: -19*g**2 - g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 13 = 53. Let c = 45 + w. Suppose c*f - 8421 = -2*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 4*g - 61. Let v be u(17). Suppose 0 = 3*n - 41 - 22. What is the highest common factor of n and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 139697541 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d**2 - d + 1. Let v be t(5). Calculate the highest common divisor of 115 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = 10*y - 33, y + 395 - 403 = 9*j - 14*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 281, 0.05, -2\/11, -0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 + t**2 + 2. Let x be k(0). Let u be ((-3)\/x)\/((-9)\/66). Let m = 20 - u. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 7184 from 7.78.\nAnswer: -7176.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -213 - -212. Let u(r) = -24*r**3 + 2*r + 1. Calculate u(c).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 1 + sqrt(5) + 2 + 1.\nAnswer: sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 758*f - 890*f + 1702*f - 88700 = -1978*f for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6708353.266 + 14?\nAnswer: 6708367.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6358880.887 + -6362025. Let y = -3146 - r. Let b = 1.75 + y. Round b to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.02?  (a) -3  (b) -1\/29  (c) 3596\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 2, 4.79, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 220 a factor of 31995920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 + 172*a + 3215. Suppose 657 - 141 = 3*p. Calculate the smallest common multiple of p and x(-17).\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9795*i**4 - i**3 + 876 - 8*i - 4480 + 0*i**3 - 9791*i**4 - 2866 wrt i.\nAnswer: 16*i**3 - 3*i**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 136 and 2328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63367?\nAnswer: 63367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -790*q**2 + 841*q**2 + 2 + 2*q - 2*q in the form c*q**2 + a + x*q and give c.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/630 and 11\/90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -577\/2, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 145\/6433548 and -25\/55757416?\nAnswer: 167272248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 41*h**2 + 3*h - 5. Let w be p(2). Find the second derivative of 16*m - 9*m**5 - 165 + w wrt m.\nAnswer: -180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*r**2 - 7*r**2 + 4*r**2 + 0*r**2 + 5*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*f + 1551 + 966 = 408 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -143*b - 3793*b + 431*b - 1 + 5 - 2 in the form g*b + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of -f**3\/6 + 5*f**2 - f - 2. Let b be 9\/(-2)*(-20)\/15. Calculate the lowest common multiple of 15 and g(b).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20527045 and 1965?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 23 and 31352?\nAnswer: 721096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -663573, -1327174, -1990777, -2654382, -3317989, -3981598?\nAnswer: -4645209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + (-6 - (-21 + 0)) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -124 - -124. Suppose -5*j - 3 = -78. Solve s = 5*m + 5*k - 5 + 20, 0 = -2*m - 5*k - j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 4\/161  (b) 0.01  (c) -2\/3  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (12\/10)\/((-5)\/(-25)). Let l = 23 + m. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/11090 and -45\/1109?\nAnswer: 11090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -9255, -9244, -9229, -9210, -9187, -9160?\n\"Answer: 2*h**2 + 5*h - 9262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*n**3 + 1393*n**2 - 18*n**5 - 1393*n**2 + (-n**2 + 2*n**3 + n**2)*(0*n + 0*n - n**2) + n**5 + 2*n**5 + 0*n**5 + 5*n**5 - n**5 - n**5.\nAnswer: -14*n**5 - 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5aa5 (base 15) in base 16?\nAnswer: 4b50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.9 - -4.2. Let j = h + 0.7. Let g be (-3 - -1)\/(-1*1). Which is the closest to g?  (a) 4\/7  (b) -3  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3015425 (base 6) to base 15.\nAnswer: 2c355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -4 + 6 + 2 + -5 + 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert a01 (base 11) to base 5.\nAnswer: 14321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3648 - -5198. Is z a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 7, u: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 0. Let h be (m\/(-3))\/(2\/6). Let l be (-160)\/(-120)*-18 - -15. Sort 1, -5, h, l.\nAnswer: l, -5, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/7 bigger than 329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-2))\/(((-27047)\/34)\/43).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4406434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 2*i + 8 = -0*z, -4*i - 8 = 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 3*g + 95, 4*g + 96 = 58*z - 57*z. What is the remainder when 998 is divided by z?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 133 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of j**4 - 225830*j**3 + 2006772?\nAnswer: 4*j**3 - 677490*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 1:12 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*m + 44*m = 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 345 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-2))\/(4*(-9)\/12)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 180 and 640?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 70342168*w**2 - 900840008 wrt w?\nAnswer: 140684336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2\/125 of a millennium?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**2 - 396*n - 400.\nAnswer: 4*(n - 100)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 227*l - 242*l + 150. What is the lowest common multiple of l and 181?\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-6)\/9*(-3)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**5)**(2\/55)\/(o**(3\/4))**(-22) assuming o is positive.\nAnswer: o**(367\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the first derivative of 3*x**4\/4 - 37*x**3 - 231*x**2\/2 - 117*x - 21. Determine g, given that f(g) = 0.\nAnswer: -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 AM and 3:58 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -26733.0634 to 0 dps.\nAnswer: -26733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2. Let k be m(-4). Let j(i) = -3*i + 31. Let g be j(9). Let d be (-2*(-1)\/6)\/(g\/(-204)). Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10*(-1 + 94\/(-10)). Is d less than -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -7 - (-101 - (-120 + 56))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2823*t*u**2*z + 3*t*u*z + 9*u**2 + 10*u*z - 2*u wrt t?\nAnswer: 2823*u**2*z + 3*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -570120 by 9502.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -309*c - 16800 = 891*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/((d*d\/d**(-1))\/d)*d)**(2\/69)*d**1*d*d\/(d*(d\/(d\/d**(5\/4)*d*d*d))\/d*d))\/((d*d\/(d\/d**7))\/(d\/d**2))**(-5) assuming d is positive.\nAnswer: d**(195\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 5*l + 39. Let x(p) = 3*p + 40. Give -5*t(z) + 6*x(z).\nAnswer: -7*z + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 8 + -81?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 403112 and 4264?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 350 is divided by 340?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22854 is divided by 176.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 834 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 l(b) be the third derivative of b**5\/60 + 2*b**3\/3 - 22*b**2. Let r be l(-5). What is the units digit of r\/((3 - 2)\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) 2  (c) 160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the third derivative of 3*b**4\/4 + b**2. Let m(j) be the first derivative of 2*j**3\/3 - 203. Determine d(m(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 divided by -30?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-522)\/783)\/((-19)\/(-3))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -68*h**3 - 410728*h**2 - 620235520*h - 72963200.\nAnswer: -4*(h + 3020)**2*(17*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**3 - 5*p**2 - 2*p. Let z(h) = -h**3 + 7*h**2 + 9*h + 7. Let n be z(8). Suppose n = -5*w - 40. Let f = w + 7. Determine t(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(13))**2*3 - (-4*sqrt(104)\/sqrt(8))**2.\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in -4, 3, 30, -0.432?\nAnswer: -0.432","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 193218 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1267 - -1003. What is the highest common factor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 10, 3, -2 in decreasing order.\nAnswer: 10, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 + 2*i**2 - 5*i - 3. Let r be z(-3). Suppose 0 = -r*q - 2*b - 23, -2*b = -q - q - 12. Let v = 13 + q. Solve -5*h - 1 = -v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 322*p + 158*p = -v + 467, -5*p = 7*v - 6*v + 8 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 - 39 = 27*y - 131. Solve -6 = 3*h, 8*s = y*s + 3*h - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.22 and 0.336807375.\nAnswer: 0.556807375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 9, u: 5}. Give prob of sequence ulll.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33482172?\nAnswer: 2, 3, 2790181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 5*h + 4. Suppose h*a - 54 = -a. What is the greatest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2\/5, -31, 4.7, 13, -1\/2 in descending order.\nAnswer: 13, 4.7, -2\/5, -1\/2, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, 2\/13, 112416?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10.202 + 7.202. Which is the nearest to -7\/5?  (a) 5  (b) -1\/4  (c) p  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23 - -28. Let o be -2 + 217\/x - 18\/45. Suppose -36*u + o*u = 15. Solve 0 = -2*l + u*v - 11, 4 = 3*l + 2*v - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - -45*62 - 1. What is t rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u - u - 2*u)*(4*u + u - 3*u) + (-33*u - 28*u + 5*u)*(0 + 0 + 2*u)*(0 - 3 + 1).\nAnswer: 226*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3 + 0 - (-1 + -1). Let k = 353 - 245. Let w = -112 + k. Let c(a) = a - 1. Let y(v) = -v + 5. Calculate t*y(s) + w*c(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 63110, 63111, 63112?\n\"Answer: c + 63109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8\/7, 2\/3, -1\/3, 31077 in decreasing order.\nAnswer: 31077, 8\/7, 2\/3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 350 = 7*g - 2*g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.019 times -0.05\nAnswer: 0.00095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6\/29 in 0.1, -5, -11, 1, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 408 and 45456.\nAnswer: 772752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 - 20 - 4*w**2 - 7*w**2 + 11 - 11*w. Let r(y) = 14*y**2 + 10*y + 8. Let b(o) = -6*k(o) - 5*r(o). Factor b(q).\nAnswer: 2*(q + 1)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of ((-2)\/1 - -11800) + 6\/(-15)*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b - b + 0*b)*(-1 + 2 - 4) - 62*b + 744*b + 764*b + 85*b.\nAnswer: 1540*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40 - 46 - (-3 + 1 + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-19)\/c)\/c)\/(c\/(c*c\/(c**(-6\/11)*c)))*c**(-14)*c*c*c**(3\/26) assuming c is positive.\nAnswer: c**(-9249\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2378251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of -d**4\/12 - 69*d**2\/2 - 71*d. Let p(y) be the first derivative of z(y). Determine p(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvgppmmpvfmv. Give prob of sequence vfv.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.82 - -0.82. What is the second smallest value in -4, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -122*t + 136*t + 70. Sort -1, 3, t, 5 in decreasing order.\nAnswer: 5, 3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 5*z - 26 - 35, -3*s = 2*z - 17. Suppose 10*y = y + s. What is the greatest common divisor of 9 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 202\/((-65044)\/(-115))*(-1)\/5*3\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -152 - -147. Let j = -1 - -4. Let l = -2.96 + j. Sort l, 1\/3, k in decreasing order.\nAnswer: 1\/3, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-12)*292569\/57390. Let z be (-44)\/198*(-9)\/5739*1. Let x = h - z. What is the common denominator of 59\/2 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - f = 3*u + 12, -u - 4 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33482*b = -33733*b - 502 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 1 = 0, 2*k - 6*k = -3*d + 440. Let v be 10*(2 - (-124)\/(-10)). Let y = v + d. Calculate the remainder when y is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -640*q + 311*q - 657*q.\nAnswer: -986*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of x**3\/3 + 10. Let c be (-10)\/4*(-8)\/10. Let r(q) = -q**c + 2 - 2. Give h(r(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28\/9*q**2 + 34\/3*q**3 + 2\/9*q**5 - 160\/9*q + 0 - 28\/9*q**4 = 0.\nAnswer: -1, 0, 2, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 749484 is divided by 163.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 610 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4007238*h - 1540006?\nAnswer: -4007238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*g**2 + 0*g**2 + 3*g**2)*(3524*g - 5 - 3522*g + 17) to the form d + y*g**2 + k*g**3 + f*g and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 2*n**2 + 10. Let j be d(3). Suppose 4*a = -5*b + 20, -a = b - 5*a - j. Let c be (-1)\/(-1 - b\/(-10)). Which is smaller: 4 or c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*z - 4*r, 4*z + r - 14 = 3. Suppose 5*x = z*x + 8. Suppose -35 = -x*h - h. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.06 * 1.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -q + 4188 + 42183. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3\/6 + 52096*t**2\/3 + 520939*t\/6 + 69458.\nAnswer: (t + 1)*(t + 4)*(t + 104187)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(392)*2 - sqrt(392))\/(-2*sqrt(36)).\nAnswer: -7*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 9*d + 0*d**3 - d**3 + 5*d**2 - 4*d - 5. Let r be p(6). Let n = r - -15. Solve 3*v - n - 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*j + 2 = 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 144069, 146501, 148933, 151365, 153797, 156229?\nAnswer: 158661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 137 - 134. Differentiate -50 + 4*c**m - 45*c**3 + c**2 + 12*c**3 - 21*c**3 with respect to c.\nAnswer: -150*c**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2451545 (base 6) to base 2\nAnswer: 100000000011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14 - -14. Suppose b*k + 5*k = 1055. Suppose -2*g = -3*g + k. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8812 - 8489. What is the greatest common divisor of l and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 76943342, 76943328, 76943304, 76943270?\nAnswer: 76943226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 7*p = 108. Let y = -24 - p. Suppose 5*r - 26 = -16. Solve -r*f - y = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - -66. What is the smallest common multiple of x and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*q = -13*q + 8. Suppose -2*y + u - 7 + 22 = 0, q*u = -2*y + 30. What is the smallest common multiple of 1 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 - 16. Suppose -8*i = 4*k - 4*i - 24, -i = 3*k - 10. Let z be -12 - -2 - (k + -4). Is z less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*p + 2 - 2. Let n(r) be the second derivative of 0 + 3\/20*r**5 + p*r**4 + 1\/2*r**3 + 0*r**2 + r. What is the second derivative of n(w) wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(-2)*(-21)\/(-42)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00100147 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 44 and 1188.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-38)\/88 + (-2)\/(-8). Let h = -0.2 - -0.3. Let s = 6.4 + -8.4. What is the nearest to h in s, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 + 7*p**2 - 4*p + 8. Suppose 5*a + 3 - 63 = 0. Let d = a - 6. Calculate the lowest common multiple of d and m(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/23545642 and 91\/1890526?\nAnswer: 259002062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 382352.2kg in tonnes?\nAnswer: 382.3522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3675415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -21*a + 7. Let c be n(-5). Suppose -4*k + 428 = -c. Suppose -4*r - 20 = 0, 0 = -2*h + 7*h - 2*r - k. Solve -5*y + 0*y - h = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2404131 (base 5) in base 8?\nAnswer: 126403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 2 = 0, -j + 1 = 2*x - 6. Solve u = 3*k, -2*u + 0 + j = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75 is divided by 66?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 - i**2 + 27*i + 7. Calculate t(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 4338?\nAnswer: -4339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((2\/(-17) - 92\/(-782)) + -1)*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (10 - (1 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 30226799227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 145*s - 146*s = -2, 18 = 9*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0657 and 3272.\nAnswer: 214.9704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**4\/2 + 7*p**3\/2 + 9*p**2 + 10*p + 4.\nAnswer: (p + 1)*(p + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 3*b - b - 7*b - 8 + 6*b. What is p(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + 5, -2*r - r = -p - 128. Suppose 0 = 4*v + 3*o - 31, v + r = 5*v + 5*o. Suppose -3*l + 18 = -0*l. Solve v*t = 4*b, t - l + 2 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 427581 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 AM and 1:42 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54111 = -8*c + 10609. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -34644 != -34592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*l**2 + 723*l + 2*l**2 + 5*l**3 - 24 - 1123*l + 26 as y*l + v + o*l**3 + g*l**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 3*h**2 - 1. Let o be 2\/((-4)\/11)*2. Let m = o - -31. What is the remainder when m is divided by g(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3951152874 to the power of 1\/2, to the nearest integer?\nAnswer: 62858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -306*b + 162*b + 7914240. What are the prime factors of b?\nAnswer: 2, 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2, -3, 310, 2, 521, -7 in ascending order.\nAnswer: -7, -3, -2, 2, 3, 310, 521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k**2 - 6*k**2 - k**2)*(-2 - 1 + 4) + (0 + 0 - k)*(-3 + 3 - k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1057, 2113, 3167, 4219, 5269, 6317?\n\"Answer: -k**2 + 1059*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) 4  (c) -0.1  (d) -244\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1019598856 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 396 - 377. Suppose l = 2*s - 89. Is s a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 91 - 91. Which is smaller: -1\/12 or d?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*r**2 - 302*r**2 + 68*r**2 - 123*r**2.\nAnswer: -400*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (92\/92*2\/2)\/((-1)\/22)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1654 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(-5) + 8\/(-10). Let a be 148\/y*-1 - 1. Suppose -5*q + a = -118. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*h = 5*h - 84. What is the remainder when 27 is divided by h\/(((-25)\/20)\/(-5))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000168838 rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes after 2:03 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**5\/17 - 24*d**4\/17 - 48*d**3\/17 + 76*d**2\/17 + 210*d\/17 + 108\/17 = 0.\nAnswer: -9, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, -5, 0 in decreasing order.\nAnswer: 20, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-2 + sqrt(21)\/sqrt(3) - (5*sqrt(63) + sqrt(7))))**2 + (-2*-1*(sqrt(847) + -1))**2.\nAnswer: 872*sqrt(7) + 28656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*m**2 + 17*m**2 - 29*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5461708?\nAnswer: 2, 7, 107, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -4*o - 59. Let i be z(-15). Which is the third biggest value?  (a) 1\/4  (b) i  (c) -0.0456\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:51 PM and 2:21 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8750 divided by 250?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 116515689 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3006248 and 3865176.\nAnswer: 27056232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -6*t**3 - t**2. Let r be b(-1). Calculate the remainder when r*5 + -9 + 11 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 7 = -d, -3*j - 6*d - 223 = -223 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -r**6 + 14*r**3 - 16*r**2 - 53 wrt r?\nAnswer: -120*r**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 3*p = -8, -r + 5*p = -358 + 337. Suppose 0 = 2*b - 2 + 8. Let l be (1 + b)\/((-15)\/(-6)). What is the nearest to r in -1\/4, l, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-630)\/(-154) - 4\/44. Let k(s) = s + 7. Let q be k(0). Let w = -11 + q. Sort w, 3, j in descending order.\nAnswer: j, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 7*u + 2*u = 30, 4*u = 5*d - 42. Solve -3*z - z - t + 12 = 0, -d = z - 3*t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2 - 3*h - 3. Let y be c(-4). Let o be 39\/2 + y\/(-14). Solve 6*p - p + o = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/(y*(y*y**4)\/y))*(y\/((y**(-3\/4)*y)\/y))\/y)\/((y**(-5)\/y*y)\/((((y\/(y\/(y*y*y**2))*y)\/y)\/y)\/y*y*y)) assuming y is positive.\nAnswer: y**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14 * -1044.\nAnswer: -14616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-20))\/((-94)\/235).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b\/(b\/b**1))*b)**(-29)*b*b**(-5)\/b*b*b**(-10))**(-35) assuming b is positive.\nAnswer: b**1505","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w - 5*w + 3*w + (-1 + 3 - 4)*(-w + 5*w - 5*w) + 0*w - w - w - 5*w - w - 2*w)*(-4*w + 4*w + 12*w).\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 15115 and 56.\nAnswer: 846440","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 0, 1\/8, -4\/23, -2\/41, -6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 12*f - 1. Suppose 0 = o + 4 - 8, -5*o = 2*t - 22. Let n be l(t). Suppose -16*m + 20 = -n*m. Solve -3 = -m*s - c, -2*c = -5*c + 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -93468 and -35.66.\nAnswer: -93503.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1130776 is divided by 1341?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2666253?\nAnswer: 3, 888751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2820 - 5653 = 877*t + 8568 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1, 6, 13, 20?\n\"Answer: 7*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -7, 0, 4.9?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5.65 + 0.05. Round t to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 76 = 4*w - 6*n, -92 = 4*w + 4*n. Let d = w + 26. Suppose -d*r + 8 = 4*i, 3*r - r - 2*i = -4. Solve -p + 2 + 3 = r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 19\/5 - 3\/1. Which is greater: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of 15*p**4\/4 - 17*p**3\/3 - 105*p**2. What is the tens digit of k(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -183 - -589. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*y = -15*y + 145. Let l be 4\/(-10) + (-12)\/(-5). Suppose i - l*i + 13 = 5*b, 3*i - 2*b - 5 = 0. Solve y - 20 = i*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1096680 is divided by 13213.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 17 = 3*j + 4*h, 3*h = 2*j. Suppose -5*v - j = 2, d + v = 3. Let b = -9238 + 9240. Are d and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500)*-1*1 - sqrt(500))**2 + sqrt(500) + sqrt(500) + (-3*(sqrt(500) + 1) + sqrt(500) - sqrt(500))**2.\nAnswer: 200*sqrt(5) + 6509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 86847787 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 9}. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 176411 - 3?\nAnswer: 176409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 7, z: 9}. Give prob of picking 2 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/15 - 2\/(-5). Let b(n) = n**3 + 15*n**2 - 21*n - 295. Let h be b(-15). Suppose x + g + w = -1, 4*g = -h. Let z(s) = -s**2 + 3*s + 3. Give z(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1 - 240454273842?\nAnswer: -240454273840.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -262.65438 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 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: Solve 20 = -55*t + 65*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000047054 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = y - 3. Let t = y - -2. Solve -f - v + t = -1, -5*f = -v - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-4*(sqrt(108) - ((-2*sqrt(108))**2 + sqrt(108))) - (sqrt(108) + (((sqrt(108) + 4)*5 + sqrt(108))**2 - sqrt(108)))).\nAnswer: -5120 - 2880*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 9 - (4 + -3 + 17)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1031 a factor of 76491952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 19817000 to the nearest 100000.\nAnswer: 19800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*h + 1682139 = -383369 - 126718. What are the prime factors of h?\nAnswer: 2, 3, 29, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3547, -6608, -9669, -12730, -15791?\nAnswer: -18852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 7, x: 3}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 229*q**2. Let m(y) be the second derivative of y**3\/6 + 672*y. Determine x(m(z)).\nAnswer: 229*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of k**3*x + 8*k**3 + 71*k**2*x + 3*k**2 + 278*k*x - 7*x - 11 wrt k.\nAnswer: 6*k*x + 48*k + 142*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -311\/24 - -47\/6. Let f be (-15)\/(-6)*(-240)\/150. Which is greater: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*d + 5, 119 = 4*z + d. Let l = z - 18. Let y(b) = b**3 - b**2 + b + 46. Calculate the remainder when y(0) is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1088295?\nAnswer: 3, 5, 13, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -364394 = -50*u - 58*u + 77866. What is the lowest common multiple of 4095 and u?\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12.2 - 12.7. Let i = -0.7 - 0.3. Which is the nearest to i?  (a) 11  (b) 3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-7 + 108\/(-12 + 0))*-5. What is the closest to -1\/2 in g, 1\/4, 28?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the third derivative of -q**5\/10 + q**2. Let f = -274 + 505. Let v(k) = -f*k + 459*k + 5*k**2 - 228*k. Determine v(a(z)).\nAnswer: 180*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 4  (b) -5  (c) -18.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 408\/(-2720)*(-32)\/9*(-18)\/(-8).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 20236.912091 to the nearest ten.\nAnswer: 20240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 184823797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 803*n - 4167*n = 3588*n + 278080 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) -0.13  (c) 3  (d) 17  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -892 divided by 22.\nAnswer: -446\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 875952 and 238896.\nAnswer: 2627856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 60\/8 + 1 + (-9)\/6. Suppose r*h - 591 = -45. Suppose 0*j + 6*j - h = 0. What is the remainder when 25 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 5*(1*(2 + sqrt(272) + sqrt(272)) + (1 + sqrt(272) + sqrt(272))*-1) + -1)**2*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*v - 20 = -22*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 3*i = -2*i - 305, 250 = 4*n + 2*i. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 + 17. Find the third derivative of 2*x**2 + 2*x**6 + b*x**2 + 0*x**6 + 4*x**6 wrt x.\nAnswer: 720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2274426431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-5)\/4 - (-1)\/4)*0. Suppose d = -12*c + 100 + 116. What is the remainder when 86 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 207 greater than 312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45087518?\nAnswer: 2, 7, 29, 111053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i + 2*i - 4*i + 2 + 2*i. Let j(f) = -5*f**3 - 5*f**2 + 3*f - 4. Let r be j(-2). Suppose -65*u - r = 2*y - 63*u, 5*y + 4*u = -28. What is m(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (213\/(-2))\/(-30*(-20)\/(-58000)).\nAnswer: 5, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 3.6. Put -2, g, -1\/4 in increasing order.\nAnswer: -2, g, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 293891459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence soxo when four letters picked without replacement from {o: 5, x: 2, h: 3, y: 8, s: 2}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/5)\/(c**(-6)*c))**3 assuming c is positive.\nAnswer: c**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9054246 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20950*a**3 - 58*a**2 + 1625876*a.\nAnswer: -125700*a - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/(-75))\/(4\/(-5)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 131832 and 981416?\nAnswer: 8832744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1289\/6 + 679\/3. Let u(t) be the first derivative of -26 + o*t**2 - t. What is the first derivative of u(w) wrt w?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22\/8*(1\/22)\/(-18 + (-6132)\/(-336)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/372 and 15\/23278?\nAnswer: 4329708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -35.8 - -34.644. Let z = h + 0.656. Let t = -111 + 998\/9. Which is the fourth biggest value?  (a) z  (b) -3  (c) -0.1  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-693)\/(-22))\/(72\/96) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 4 = 2. Let r be (2 - i)\/(-1*2\/2). Let s be r\/6 + 14\/4. Solve 4*o - 4*x - 10 - 2 = 0, -2*o = -s*x - 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 - -42 - 14) + -20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 45072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -52, 3\/7, 0.9, 0.5, -1.83?\nAnswer: -1.83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, -0.2, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6\/6289 + 6307\/18867. Factor -1\/3*p**4 + 0 + 1\/3*p + c*p**2 - 1\/3*p**3.\nAnswer: -p*(p - 1)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 89382 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -11*v + 27. Let l be t(17). Let n = l + 381. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*4\/((-36)\/15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6159 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 4 = 19. Solve -d*c + 4 = -2*f - 4, -6 = 4*f - c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -363*l = -368*l + 15. Solve -24 = 5*n - 2*i, 5*n + i + 12 = -l*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 1611*d**2 + 5*d + 1. Let m(a) = 805*a**2 + 2*a + 1. Calculate -5*m(t) + 2*w(t).\nAnswer: -803*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from ennennnenennnneenne?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 623245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -29 + 52. Let p = w - 2. Calculate the remainder when p is divided by (-5 - -11) + -1 + (-2)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 - 7*a**2 + 13*a - 48. What is q(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 1797*g + 10*g**2 + 1801*g - 3598*g. Let t(o) = -99*o**2. Determine f(t(u)).\nAnswer: 98010*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 6*z**3 - 16*z - 10. Let v(o) be the second derivative of o**5\/5 - 11*o**3\/6 - 7*o**2\/2 - 391*o. What is 7*v(x) - 5*y(x)?\nAnswer: -2*x**3 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2551.07 decades?\nAnswer: 306128.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.1037 and -3.\nAnswer: -2.8963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of -11*m**3\/3 - 11*m**2\/2 + 6*m. Is t(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 197*-0.14\nAnswer: -27.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from txmmtljlmm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - ((1 - 0 - -1) + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1051036 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.069 + 1.329. Let u = -8.16 + s. Let j = -6.90165 - u. Round j to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11228 + -11189.195. Let v = 39.5 - a. What is v rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + 8*o**2 + 13*o - 12. Let n be d(9). Is -2\/5 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 3*h - 5. Suppose -4*q + 24 = 5*b, 3*b - h = 3*q + b. Let f be (-7 - -3)*3\/6. Put -3, f, q in descending order.\nAnswer: q, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34640 + 8*w + w**3 + 34640.\nAnswer: w**3 + 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 10*g - 56. Suppose 1949 = g*k + 509. Let w = k + -88. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in -1, -2, 23, 454, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 100115.51 to the nearest one thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*b = -140*b + 81*b - 160 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*z - 108*d - 490 = -2*z - 28*d, 22 = 4*z - 3*d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -751.74442 rounded to 0 decimal places?\nAnswer: -752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**5 + 6*y**5 - 8*y**5 + (0 - 2 + 0)*(-2*y**5 - 3*y**5 + 3*y**5) - 10*y**5 + 0*y**3 + 0*y**3.\nAnswer: -7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1033947*m**3*o**2 + 4*m**3 - 5*m**2*o**3 - 239652*m**2*o + o wrt o?\nAnswer: 2067894*m**3 - 30*m**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -28*(-1)\/8 + (-8 - -5). Find f such that 0 - 1\/6*f**4 + 0*f - 1\/3*f**3 + p*f**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2 - 3)*(c + c - c) + 0*c - 2*c + 14*c + (2 + 2*c - 2)*(-1 + 4 - 1) + 2*c - 12*c - 3*c + 0*c + 0*c + c to the form q*c + i and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -28*j - 1. Suppose 0 = -43*o + 4*o + 10*o - 87. Let i(b) = -28*b - 1. Calculate o*i(s) + 2*g(s).\nAnswer: 28*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 27*l**3. Let s(z) = -418*z**3. Determine 77*i(q) + 5*s(q).\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, y: 1, r: 1, a: 1}. Give prob of sequence wa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 AM and 7:08 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z - 3*z + 2*z + (5*z - 5*z - 2*z)*(0 + 1 - 5))*(3*z - 3*z - 2*z)*(4 + 0 - 5).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -13, 11, 1 in decreasing order.\nAnswer: 11, 1, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.7 * 137.\nAnswer: -506.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-10\/7)\/(u*u\/u**(15\/7)) assuming u is positive.\nAnswer: u**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 79*f**3 - 4*f**2 - 4 + 1 - 74*f**3. Let c(p) = 4*p**3 - 3*p**2 - 2. Determine 3*c(q) - 2*d(q).\nAnswer: 2*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = f + 39. Let g be f + -2 + 2 - (3 - 99). What is the third derivative of m**4 - g*m**2 + 77*m**2 + 0*m**4 wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -143 and -1428.\nAnswer: -1571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2056416?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 + 15*a**2 + 34*a - 22. What are the prime factors of x(15)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 42*m + 136 + 41. Let g = -6 - -11. Sort 7, m, g in descending order.\nAnswer: 7, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((16\/(544\/17))\/1)\/(15\/12*10)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*z**2 + 5*z**2 - 172*z + 366*z + 555*z + 8*z**2.\nAnswer: 8*z**2 + 749*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -4) + (9 - 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/(-6))\/(11\/(-891)). Calculate the highest common divisor of f and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**3 + 585*n**2 - 130*n - 52200.\nAnswer: -5*(n - 116)*(n - 10)*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -50944 divided by 12736?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the third derivative of -f**7\/420 - f**6\/360 + f**3\/3 + 2*f**2. Let q(x) be the first derivative of j(x). Find the third derivative of q(y) wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 0*s + 0*s - 3*s + s. Let h(f) = -11*f**2. Give i(h(n)).\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of 3 + 0*a**2 + 2*a + 2\/3*a**3. Find the first derivative of s(r) wrt r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4632 - -4630. What is the third biggest value in 49, a, -1\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 188, -3, -1, 5 in ascending order.\nAnswer: -3, -2, -1, 5, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 192654?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10200120220 (base 3) to base 12.\nAnswer: 36020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 295222 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes after 7:59 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -7069235884 + 28?\nAnswer: -7069235856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -255600 divided by 75.\nAnswer: -3408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from {x: 1, b: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.035 - -0.03484. Round n to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 18*k + 2. Let i(o) = -18*o - 2. Give -4*h(d) - 5*i(d).\nAnswer: 18*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 1. Let s(o) = 21 - 9 + 0*o + o. Let h = 30302 - 30324. Determine h*n(u) + 2*s(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 9*l. Let x be (-3)\/(-6)*-2 - -8. Let q(w) = -5*w. Let m(o) = x*q(o) + 4*p(o). Let a be m(2). Calculate the highest common divisor of 12 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h + 5*h - 3*q - 3, 3*q + 15 = 0. Suppose 3*x - 26 = -2. Let l = h + x. Solve 4*v - 8 = -d - 3*d, -5*d + l*v = -28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 AM and 9:55 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 10 + 2*c - 7*c**3 - 32 + 23 + 2*c**2 + 3*c**3 in the form i*c**2 + p + o*c**3 + g*c and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-62 - (28 - (2 + 14))) + 16 + -29?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -5*h**4\/2 + 1270*h**3 - 290255*h**2\/2 - 4161570*h - 11144070 = 0.\nAnswer: -21, -3, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 168*t + 14. Let m be z(0). What is the highest common divisor of m and 413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n**2 - 6*n + 14. Calculate the least common multiple of b(0) and 320.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 186559 and 6304.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/12 + (-58)\/(-56) - (-516)\/(-42)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w**3\/4 - 420141*w**2\/4 - 44142006519*w\/4 - 2602916079179\/4 = 0.\nAnswer: -210041, -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*m + 10*m - 27. Does 12 divide m\/(-36) - 158\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 504*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of 7560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(119)*1 - sqrt(119) - (sqrt(119) + sqrt(119)*-2*2))*6)\/(sqrt(63)\/sqrt(9)*-6 + sqrt(2800)).\nAnswer: 18*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of 2*y**3\/3 - 7*y**2\/2 - 7*y + 1. Let x(v) = -v**2 + 3*v + 3. Suppose 10*q - 22 = 48. What is q*x(d) + 3*w(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -19 + -1ebd?\nAnswer: -1ed7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 + l. Let v(w) = 4*w**3 - 2*w**2 - 4*w + 36. Calculate -v(f) - 5*y(f).\nAnswer: f**3 + 2*f**2 - f - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 33322420*j*r**3 + 22*j*r**2 - 2245451*j*r + 5*j + 8*r**3 wrt r?\nAnswer: 199934520*j + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sum 101.8 and -0.23540089.\nAnswer: 101.56459911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the first derivative of d**4\/4 - 3*d**2\/2 + 2*d - 50. Let v be k(-2). Do 2\/175 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 - 4*l**2 - 3*l - 12. Let t be n(-4). Suppose -2*b - 9 + 27 = t. Calculate the remainder when 29 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaoa when four letters picked without replacement from aaaaoaoaoaooaa?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 8. Let s = -279000 + 3629576\/13. Let a = 198 - s. Sort 4, a, n in decreasing order.\nAnswer: 4, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 356, 724, 1092?\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -102*((-14)\/(-35))\/(4\/(-5)). Let t = 77 - z. What is the highest common divisor of t and 156?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 85385929?\nAnswer: 85385929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1549529?\nAnswer: 1549529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*h + 4*h - 15*h as r + u*h and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24\/215 + 29408\/1505. Let d = -19 + l. Suppose 0 = 4*w - 0*w. Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1547.9999114 + 1548. Round t to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mkkhm. What is prob of sequence hmm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 542.1782 centuries in decades?\nAnswer: 5421.782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**8*n\/(n**(-2)\/n*n*n))**(3\/10) assuming n is positive.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 5*o**2 + o - 66. What are the prime factors of q(11)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 16.6154 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -10121 (base 3) in base 2?\nAnswer: -1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4 + 8 + 1*-4. Suppose l = -7*h + h. Solve 5*a + 4*z + 10 = -18, h = -3*a + 4*z - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of 17*w**3\/6 - 10*w**2 + 7*w. Differentiate i(o) with respect to o.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1794974?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 518439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ptpwpww. What is prob of sequence pp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -8*t + 10. Let c(u) = 17*u - 21. Determine -4*c(z) - 9*k(z).\nAnswer: 4*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3543 + 9*h**2 - 1770 + 15*h**2 - 1773.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.5  (b) -1\/20  (c) -2\/7  (d) 73\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-10)*(0 - 1). Let m be 9\/((-168)\/70*5). Put m, w, 1\/20 in ascending order.\nAnswer: m, 1\/20, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4185622 to the power of 1\/2, to the nearest integer?\nAnswer: 2046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (12\/5)\/(5\/25). Let y be 4\/b + 2969962\/6. Suppose 4*k - 377979 - 18030 = 3*t, 5*k + 2*t - y = 0. Round k to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/7, -4, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1573) + 0)*2 + (2*(sqrt(1573) + (sqrt(1573) - (sqrt(1573) - -1*sqrt(1573) - sqrt(1573)))) - sqrt(1573)))*-1*2 + -1.\nAnswer: -66*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 11*l**2. Let a(w) = -w - 343. What is a(c(r))?\nAnswer: -11*r**2 - 343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h - 3*h - 2*h)*(2*h**4 - h**4 - 2*h**4 + 5*h**2 + 2*h**4 - 5*h**2 + (h - 2 + 2)*(-4*h**3 + 8*h**3 + 11*h**3) - 18*h**4 + 35*h**4 - 19*h**4 - 2*h**3).\nAnswer: -14*h**5 + 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 1 = -17. Let o = i - -8. Let x be 2*(0 - o) - -67. What is x rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 14*u**2 - 12814*u + 454955. Calculate v(37).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 141588*d = 141637*d - 735 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -190*m**2 - 33*m + 27. Determine b(1).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2043?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(6\/5))**(7\/2))**(-44) assuming h is positive.\nAnswer: h**(-924\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105 = d + h, d + h = -h + 110. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 41*p - 28. Suppose 0 = -n - 112 + 113. Let l(v) = -2*v - 1. Let s(d) = n*l(d) - k(d). Find the first derivative of s(m) wrt m.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 - 34*o**2 - 225*o + 3. Let x be z(-25). Suppose -11 = x*q + 4*h, 7*h + 2 = 9*h. Let d be (-34)\/8 - (-2)\/8. Sort d, q, 8.\nAnswer: q, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*b**2 - 2*b**4 + 3*b**4 + b**4 + (1 - 1 + b)*(-2*b**3 + 4*b**3 + 7*b**3) in the form t*b**4 + w*b**3 + y*b**2 + h*b + j and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 329229 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1654*h = -1676*h - 242 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/4 - 6249*o**2\/4 - 2441406*o - 2439844.\nAnswer: -(o + 1)*(o + 3124)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 227 - 143 = 0. Suppose -3*o + p = -25. What is the greatest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -178.98 + 183. Let y = w - 0.02. Let x = -7 + y. Sort -4, -5, x in decreasing order.\nAnswer: x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -478 + -56?\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1307 is divided by 195.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of -255*j**2\/2 - 6722*j - 7485. What is the derivative of s(v) wrt v?\nAnswer: -255","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 - -14. Let n = i - -2. Let d be (-2)\/4 - (-1)\/2. Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of -n**5\/30 - 7*n**2. Let w(f) = 6*f**2. Give y(w(b)).\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 4*k**2 + 30*k - 74. Calculate m(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of -s**4\/4 - 11*s**3\/3 - 24*s**2 + 3833*s. Give n(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (180\/108)\/((-126)\/4158)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 54*t**2 + 131*t - 2323. Let p be i(99). What is p rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8980986 (base 11) to base 2.\nAnswer: 111100000010110101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -5, -452, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 27\/2*m - 39*m**2 + 36*m**3 - 9*m**4 + 0 - 3\/2*m**5.\nAnswer: -3*m*(m - 1)**3*(m + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vii when three letters picked without replacement from zziizivzzzzzzzzz.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -157000, -627974, -1412936, -2511892, -3924848, -5651810, -7692784, -10047776?\n\"Answer: -w**3 - 156988*w**2 - 3*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 3303*z**2 + 9*z + 1555. Let h(y) = -1643*y**2 - 4*y - 777. Let t(c) = -5*h(c) - 2*p(c). Find the second derivative of t(k) wrt k.\nAnswer: 3218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-34)\/1 + (-2 - -4). Let y = 61 - c. Suppose -5*j = -2*u - y, 2*j - 26 = -0*j - 2*u. Calculate the remainder when j is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/(-25))\/(-49 + (-21516)\/(-440))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*o**2 + 5346252068*o - 5346252068*o.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*x**3 - x + x + 14 - 14 + 9*x**3 + (4 - 1 - 4)*(-3*x**3 + x**3 + 4*x**3) to the form i*x**3 + t*x**2 + f + h*x and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4699268?\nAnswer: 2, 7, 23, 7297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express q + 2*q - 4*q - 8*q in the form a*q + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2055 divided by -60437?\nAnswer: -2055\/60437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of 11*v**3\/6 + 49*v**2 - 18*v - 2. Let b be o(-9). Which is bigger: b or 2\/183?\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 3*v**3 - 3*v. Let d(s) = -7*s**3 + 7*s. Let h be -1 + 1 - ((-64)\/104)\/(6\/(-39)). Suppose p + 0 = -9. Calculate h*d(y) + p*x(y).\nAnswer: y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 99641 is divided by 484.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -3*l**2 - 10*l - 14. What is n(-5)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 399*i**2 - 33*i**2 - 46*i + 47*i to w + h*i**2 + g*i and give h.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 2 = -2*b, 2*h - 5 = -5*b + 2. Solve 4*t = -3*d + 1, 14 = -2*t - 5*d - b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16 - -21. Suppose 0*g + 2*g = -3*p + 12, -16 = -4*p + 4*g. Suppose 4*l + l = -p*t + 8, 2*l + x*t = -7. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/5)*i*i**(-5)*i**(-1)*i**(-6))**10)**(-10\/13) assuming i is positive.\nAnswer: i**(1140\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 136224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - (12 + (-22 - -8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34.6 - 35.1. Let n = 12 + -38\/3. Which is the closest to n?  (a) 0  (b) s  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1\/3, 4, -29, 6\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16 and 3700?\nAnswer: 14800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 447 + -447. Solve -j - 1 = -o - b*j, 4*j = -o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 466689376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + -2 + (2*(sqrt(1331) + 0) - sqrt(1331)) - (sqrt(1331)*-2 + -1 + 3 + sqrt(1331) + 1 + sqrt(1331)))*3)**2.\nAnswer: -792*sqrt(11) + 12123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of w**7\/126 + w**6\/90 - w**5\/30 - w**4\/18 + w**3\/18 + w**2\/6 + 10*w. Factor n(p).\nAnswer: (p - 1)**2*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 5*i - 8 = 0, -3*q + i = 4 + 4. Let s be 4*9\/10 - (q - -4). Which is the biggest value?  (a) -2\/3  (b) s  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 186*f + 2*f**4 + 71*f**3 + 11*f**2 - 146*f**3 - 11*f**2 + 73*f**3 in the form c*f**3 + g + t*f**2 + w*f**4 + n*f and give n.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, s: 1, b: 1, p: 2}. Give prob of sequence pbps.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -504*g = -436*g - 1700 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2057) + -3 + 1)*4 - sqrt(187)\/(sqrt(66)\/sqrt(864))*6)**2.\nAnswer: 448*sqrt(17) + 13392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17311 is divided by 8649?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*z + 2*z - i - 17, 4*i = -4*z + 64. Suppose -z*m + 7*m = -1776. Suppose 35*f - 31*f = m. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25 + ((-15)\/(-20) - -2 - (1 - (-45)\/(-36)))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 102420752 + -158670752. What is i rounded to the nearest one million?\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 + -33. Let i = m + 13. What is the third smallest value in i, -0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 146.9 + -0.94.\nAnswer: 145.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3 + 2 - 2*l + 3 wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(8) - (2*sqrt(8) + 1)) + 5*sqrt(32) + (-1*sqrt(648) - sqrt(648)) + -5)**2.\nAnswer: 252*sqrt(2) + 697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2260 - -9109\/4. Let x(n) = -3*n**2 + 9*n + 3. Let c be x(7). What is the common denominator of (-1)\/(14\/c)*1 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 310*j - 259*j = -459 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 7\/(-14)*(-2 - (-1 - -5)). Let y(z) = -10*z + 32. Let q be y(j). Suppose q*t = 2*m + 3*t - 8, m + 5 = 4*t. Solve m*s - 3*i = 9, 0*i = i + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*z + 16, 7*n - 2*n - 10*n + 29 = -2*z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-702)\/90 - 2\/10. Let i = 18 + g. Suppose 0 = -8*d + i*d - 78000000. What is d rounded to the nearest one million?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2196 + -550. List the prime factors of d.\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 850 = 5*u + 12*q - 16*q, -u + 149 = -5*q. Let b = -83 + 256. Are b and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3273109 is divided by 8660?\nAnswer: 8289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 11, -1, 65, 2, -129 in descending order.\nAnswer: 65, 11, 2, -1, -4, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 672004132 to the power of 1\/4, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2. Let j(m) = -m**2 - 26*m + 1. Let w(a) = -a - 1. Let o(c) = 2*j(c) + 2*w(c). Determine o(y(n)).\nAnswer: -2*n**4 + 54*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 61 = 3*p, 5*p + c + 21 = 86. Suppose 5*r - 132 = -p. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 + 4*u**2 - 4*u - 7. Let f be x(-2). Solve -6*n - f = -n - 3*t, -5 = 3*n - 2*t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/78592 and -5\/29472.\nAnswer: 235776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7110161 is divided by 18516.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((27\/108)\/((-2)\/(-248)))\/(269\/(-269))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4865 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes before 12:53 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, 4, -11, 1, 0.5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -180*g + 5883 = -10*g - 3127 for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1052261615 and 5405.\nAnswer: 5405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*l - 13*l = -3*q - 3404, 0 = -3*l - 3*q + 10272. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of m**4\/4 - 5*m**2. Suppose 8*q - 4*q = 2*g + 20, 4*g - 2 = 2*q. Let y(j) = j - q + 5 + 2. What is y(w(l))?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - o = -168. Let c(h) = -h**2 + 8*h. Suppose 4*q - 8 = 0, -m - 2*m - 5*q + 28 = 0. Let x be c(m). What is the greatest common factor of x and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gwl when three letters picked without replacement from {v: 3, l: 1, b: 2, g: 7, w: 4}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 27290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-48)*50\/75.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -299898  (b) 0.3  (c) -1  (d) -138\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -89 + 81. Let j = p + 7.9. Let k be -2 + -1 + 4 + -2. Which is the second biggest value?  (a) 0.2  (b) k  (c) -0.4  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21, -85, -291, -561, -859, -1149, -1395, -1561?\nAnswer: -1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*h + 875 = 1022 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.1287 + -0.1287. Let a = 3 - 2.6. Let h = -0.2 + a. Sort b, h, 0.1 in decreasing order.\nAnswer: b, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 2*v + 2. Let n be r(2). Let t = -16 - -20. Let l(i) = 1 - 3*i + 0 + t. Give l(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 395061 is divided by 7453.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.074 in 3, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.01+0.420221\nAnswer: 0.410221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 106 and 10441?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 43*g**2\/5 - 558932*g\/5 + 233964\/5.\nAnswer: (g - 12998)*(43*g - 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1941850 + -1?\nAnswer: 1941849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -29 + 60. Suppose 29*r + 352 = x*r. Calculate the greatest common factor of r and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pippxxxxixgxp. Give prob of sequence xpp.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 - 5578.\nAnswer: -5580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(75) - (sqrt(75)*-3 + sqrt(75))) + sqrt(75)) + 4*(0 + sqrt(75) - sqrt(75))**2.\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.15 + -0.18. Let x = r + 3.03. What is the second smallest value in 2\/7, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45, 7, -101, -273, -503?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 39222355.27 rounded to the nearest 10000?\nAnswer: 39220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*j - 38*j + 203*j**3 + 17*j.\nAnswer: 203*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 + 18*g**2 + 59*g + 15. Determine p(-13).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 25 + -30. Let v = -5456\/9597 - 4\/1371. Sort 4, n, 0, v in decreasing order.\nAnswer: 4, 0, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/21 in -4, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (450\/(-330) - -1)\/(8\/(-16))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of -f**3\/3 + f**2 - f. Let v(j) = -27*j + 2 + 50*j - 24*j. Calculate 3*v(i) - 2*x(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10\/3?  (a) 4  (b) -4  (c) -117  (d) 384\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23 - 22.6. Suppose 5*h - 10 = -3*t, -5*h - 15 = -4*t + 2*t. What is the nearest to h in 0.3, 2\/11, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, u: 4, q: 9}. What is prob of sequence qqq?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 2*s = 3, 1 = 3*c + 16*s - 14*s. Let b = -32 - -47. Solve -5*k - 2 = d + c, 5*d = k - b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - 28 - 12. Sort j, 1, 5.\nAnswer: j, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, 6, 64, 16 in ascending order.\nAnswer: -2, 2, 6, 16, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 AM and 7:16 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = a + 12. Suppose 0 = -14*x + 64 + 20. Suppose 3*i - a = x. Calculate the remainder when 22 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -6*(-1 + (-1)\/(-2)). What is the common denominator of -14*q\/40 - 2 and -65\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19 - 16. Let h be (0\/(-3 - -2))\/1. Suppose h*x = -4*x + 8. Sort 0.1, x, a in decreasing order.\nAnswer: a, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 21894551 or 21894554?\nAnswer: 21894551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 3*m**2. Let h(n) = 19*n**2 + 6. Let z(w) be the third derivative of 7*w**5\/20 + 3*w**3\/2 + 184*w**2. Let v(g) = -3*h(g) + 2*z(g). Determine j(v(k)).\nAnswer: 675*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3102 and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/26  (b) -2322  (c) 5  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h\/h**(1\/4)))**(28\/5)*h\/h**(2\/3)*h**2*h)**33 assuming h is positive.\nAnswer: h**(781\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = -t - 5. Let x = 9 + t. Suppose 4*f = 5*f + 4*n + 4, x*f + 5*n - 6 = 0. Solve -12 - 8 = f*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 938345?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m and 1 r when four letters picked without replacement from {r: 2, m: 17}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccczcczccccc. What is prob of sequence cc?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/(p\/(p**(-3\/5)*p)))\/(p*p*p**(2\/11)\/p)*(p\/((p**(-2)*p)\/p))**18 assuming p is positive.\nAnswer: p**(2982\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 2:45 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 6*l - 11. Let d(n) = 5*n - 11. Suppose 1671*u - 1724*u = -159. Calculate u*d(g) - 2*j(g).\nAnswer: 3*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 0.3, -34\/65, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -14498, -57944, -130348, -231710, -362030, -521308?\n\"Answer: -14479*o**2 - 9*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 753, 747, 739, 729?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j - 17 = 2*f, -3*f - 23*j - 23 = -22*j for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -44454 less than -44452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -9652 divided by 2932?\nAnswer: -2413\/733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3+-0.65532\nAnswer: 2.34468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.06749, 7\/15, 0.6 in decreasing order.\nAnswer: 0.6, 7\/15, -0.06749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.727 and 31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*k - 101 + 103 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 (base 8) in base 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-10)\/(l*l**14)*l**(-13)*l**(1\/3) assuming l is positive.\nAnswer: l**(-113\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 3*p - 4 - 3, 4*f = -3*p - 1. Which is the nearest to f?  (a) 2.6  (b) -0.2  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1015 and 145?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 - 2 - 2*j)*(372*j - 692*j - 1194*j).\nAnswer: 3028*j**2 - 3028*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (44\/(-12))\/((-1)\/9). Suppose 8 = -5*c + w. Calculate the greatest common factor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -8*l + 39. Suppose y - 4 = -l, -4*d = 4*y - 16. Find the second derivative of 31*b**4 + 10*b**4 + d*b + 6*b**4 - 7*b**4 wrt b.\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*x**3 + 9*x**3 - 11*x**3)*(-4 - 2*x + 4).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 - 7. What is the third derivative of -4*m + 10*m**6 - 6*m**6 + 4*m - 3*m**f wrt m?\nAnswer: 480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 242 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -3*p - 7. Calculate the remainder when 30 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(224) + (sqrt(224) - -2*sqrt(224))*3)*-2)\/((1*sqrt(3872) + sqrt(3872))\/(sqrt(4)*2*6)))**2.\nAnswer: 403200\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 327\/19, 1\/15, 4, 5, -2\/7, -55 in ascending order.\nAnswer: -55, -2\/7, 1\/15, 4, 5, 327\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of z**4\/8 + 19*z**3\/2 - 2*z**2 + 28. Let r be o(-17). Calculate the highest common divisor of 22 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27442293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 AM and 11:19 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 16*c**3 - c + 1. Suppose -3*b + 0*b = -5*k - 21, -4*b = 4*k + 4. Suppose 0*d + 4*y = -5*d + 9, -3*d = -y - b. Calculate u(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fz when two letters picked without replacement from zzfftztzttt?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h**2 + 3*h - 4. Let i be x(-4). Find the common denominator of 61\/10 and (-852)\/i*4\/(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - ((-2 - (0 + -1)) + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4508 - -4507.999985448. Round a to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 6, e: 1, u: 9, b: 2}. What is prob of sequence be?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-47)\/(-77) + ((-306)\/(-21) - 15). Sort 0.16, 1\/9, m in descending order.\nAnswer: m, 0.16, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*z**2 - 2*z**2 + 6*z**2 + (3*z - 2*z + z)*(0*z - 3*z + z) - z**2 + 0*z**2 + 5*z**2.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/2, -5, 144?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(456)\/(sqrt(968)*1 - sqrt(8)))\/(1*2*sqrt(243)*-1))**2.\nAnswer: 19\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1832?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.22 - -1.1. Let j = 0.38 - m. Let h = -1.9 - -2. What is the nearest to h in j, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*x**2 - 2*x**3 - 22*x**2 + 0*x**2 to w*x**2 + g*x + l*x**3 + z and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 2*v**5\/7 + 72*v**4\/7 + 916*v**3\/7 + 704*v**2 + 10842*v\/7 + 6760\/7 = 0.\nAnswer: -13, -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*b**3 + 0*b**3 + 19*b**3 + 13*b.\nAnswer: 22*b**3 + 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**(2\/3))\/((a\/a**(-1\/18))\/a)*a**(-3\/5)*a\/a**4)**(7\/8) assuming a is positive.\nAnswer: a**(-2093\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 + 4*m**2 + 2*m - 6. Suppose 5 = -4*u + 5*v + 31, 0 = -4*u - v + 14. Let o be b(u). Factor o*p**5 - 2*p + p - 3*p**5 + 2*p**3.\nAnswer: -p*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f + 7749*f**3 - f - 7729*f**3.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5\/(60\/21) + -2 + 0. Let d(l) = 2*l**3 + 16*l**2 + 17*l + 27. Let h be d(-6). Put -1, v, h in ascending order.\nAnswer: -1, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2006 and 2635.\nAnswer: 310930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of -61\/10*l**5 + 371\/60*l**6 + 0 - 7*l**2 + 16\/3*l**3 - 2\/3*l**4 - 28\/15*l**7 - l. Solve s(d) = 0 for d.\nAnswer: -1\/4, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -888609 * -0.1.\nAnswer: 88860.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/6 + 5\/(-3). Let o be ((10 + -16)\/(-330))\/(30\/(-50)). Which is smaller: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4)\/18 - (4336\/(-72) - 1)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(26) + (sqrt(26) - sqrt(1664)) + sqrt(26) + sqrt(26))*-1)\/(sqrt(6)\/(sqrt(3) - sqrt(243)) + sqrt(2)).\nAnswer: 32*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b**(3\/5)*b)\/b)\/b)\/(b*b**(-5)*b))\/(b**(-1))**41*(b\/b**(5\/2))\/b**(-2\/5)*(b**7\/b)\/(b\/b**(4\/7)) assuming b is positive.\nAnswer: b**(673\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2337*h. Let c(u) = 4*u**2. Give c(q(t)).\nAnswer: 21846276*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 9 - 14 - -13 - (3 + 2). Solve 52 = -s*a + 4*k + 19, -a + 27 = 5*k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -125.8044 and 1.4645702?\nAnswer: 127.2689702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in -0.0024, 295, -1\/7?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from fssfffsavssfffc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 636389467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 144 and 4016?\nAnswer: 36144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 10371*m + 259281. Determine b(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -7*i. Let z(a) be the first derivative of -5*a**4\/12 - 60*a - 59. Let l(g) be the first derivative of z(g). What is l(r(v))?\nAnswer: -245*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 28\/8*(-4)\/(-14). Suppose 27 = 2*r - o. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9a9 (base 15) in base 10?\nAnswer: -2184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/611 in 2\/9, 0.3, 4\/17, 18, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 161433*l**5 - 223*l**3 - 47319*l**2 - 10471 wrt l.\nAnswer: 9685980*l**2 - 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, f: 6, c: 1}. Give prob of picking 1 f and 2 t.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 - 21*t**2 - t + 8. Suppose -5*w + 6 = -4*w - 5*p, 5*w + p = -74. Let u = -6 - w. Calculate the remainder when n(-21) is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -113, 326, 2, 1898.\nAnswer: -113, 2, 326, 1898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r + 8. Let j be g(0). Let b be (-90)\/11 - j\/(-44). Find the common denominator of -97\/2 and (-1017)\/330 + b\/(-20).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 t when three letters picked without replacement from {y: 3, t: 1, r: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 237829665 to the nearest integer?\nAnswer: 15422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*i - 170 = 4*n, -5*n + 338*i = 346*i + 80 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -80*s**2 - 68*s + 14. Let p be l(-23). Does 27 divide (-2)\/9 + p\/(-117)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(1\/3)*r)\/r*r*r**(2\/5))\/(r\/(r\/r**6)*r**5)*((r**(-1)*r)**50)**(-7\/5) assuming r is positive.\nAnswer: r**(-124\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-7))\/(9\/((-252)\/(-4))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 150*p - 14. Let s(l) = -151*l + 13. Let v(j) = 2*d(j) + 3*s(j). Let w be v(-2). Let t = 461 - w. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = 28*o + 569. Let q(j) = -3*j**2 - 58*j - 17. Let g be q(o). What is the highest common factor of 30 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 - 4*n**2 + 4*n - 3. Let s be ((-12)\/9 + 1)*-3 - -35. Let u = -34 + s. What is w(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 582, 1170, 1760, 2352, 2946?\nAnswer: 3542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 65021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of -57*a**5\/20 + 49*a**4\/12 - 72*a - 23. Let i(j) be the first derivative of o(j). What is the third derivative of i(m) wrt m?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 4, i: 6, o: 4}. What is prob of picking 1 i and 2 d?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (133\/532*24\/(-5))\/(6\/75).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -11102033222 (base 4) to base 5\nAnswer: -323313300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i = 24*i - 204. Let h be 90*(56\/i - 4). Let s = 17 - 2. Calculate the greatest common factor of h and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-3 - (7 + -3)) - 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43569.\nAnswer: 3, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -264\/5  (b) 23  (c) -0.4  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 2*m. Let r(g) be the third derivative of 201*g**4\/2 + 1033*g**2. Calculate r(a(f)).\nAnswer: 4824*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of 0*s**2 - 93\/2*s**3 - 1\/10*s**5 + 3 - 13\/12*s**4 + 11*s. Find the second derivative of j(i) wrt i.\nAnswer: -12*i - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93922.04 milliseconds in seconds?\nAnswer: 93.92204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -242 - -433. Let u = 502 + -453. What is the remainder when s is divided by u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -27*n*w**2*x + 101*n*w*x - 4126*n - 268506159*w**2*x - 2*w*x wrt n?\nAnswer: -27*w**2*x + 101*w*x - 4126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 117947456189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {t: 5, k: 1, u: 2, v: 1, c: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u - 1. Let r = -4 + -2. Let t be g(r). Suppose 1 = 3*n - t. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17177.\nAnswer: 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (-9 - -19) - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 + c. Let h(w) = w**2 - 2*w + 2. Let x(n) = -980*n + 2939. Let a be x(3). What is a*h(u) - 2*k(u)?\nAnswer: u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -c - 106, 5*c + 5*r - r + 414 = 0. Let k = 100 + c. Solve -2*x = -5*p + 18, -x - 3*p = 1 - k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes before 2:07 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -21*g**2. Let c(p) = 3941878*p. Give x(c(r)).\nAnswer: -326306445504564*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/(1 - (0 + 2)). Let r be 1\/(2\/2 - b). Suppose -5*j - 9*x = -10*x - 52, 3*x = -3*j + 42. Calculate the highest common factor of j and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a**3\/4 + 9*a**2\/4 + 21*a\/4 + 11\/4 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 + -23 + (-35 - -17) + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, k: 3, e: 2, v: 2, x: 2, f: 4}. Give prob of sequence evk.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3*5\/(30\/16). Suppose -v*c + 7*c = -511. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 284*f**2*g**2*q**2 - 74*f**2*g**2 - f*g**2*q**2 - 12*f*q**2 + 11*f*q + 15*f + 3*g**2*q**2 wrt f.\nAnswer: 568*g**2*q**2 - 148*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times -5.14\nAnswer: -2.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 2*j**3 - 4*j**2 + j - 5. Let s be h(2). Let y be (5\/2 + s)\/((-2)\/8). Let u(x) = x**3 - 2*x**2 - 2*x + 1. What is u(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 + m - 48. Let h be z(0). What is the units digit of h\/40*(-5)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 311537800 divided by 77884450?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-2))**(1\/22)*(n*n**2\/n)\/n**4 assuming n is positive.\nAnswer: n**(-45\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 5*q. Let v(g) = g**3 + 3*g**2 - 3*g + 6. Let n be v(-4). Factor h**3 - 5*h**3 + q*h**n - 4*h**2.\nAnswer: -4*h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -5. Let h(z) = -z - k + 1 + 1. Let f(t) = 5*t. Give h(f(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34, -24, -12, 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 226*l - 683. What is j(4)?\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -2*w**3 + 19*w**2 - 9*w + 3. Let c be j(9). Let m(d) = 14*d**3 - 8*d**2 + 6*d + 1. Let s(l) = -5*l**3 + 3*l**2 - 2*l. Calculate c*m(r) + 8*s(r).\nAnswer: 2*r**3 + 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-13 + 1 + 4)*(2*b**2 + 3*b**2 - 4*b**2)*(3 + 1 - 1) to the form q*b**2 + c*b + m and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 2*h**3 - h**2 + 3*h + 3. Let l(a) = -3 - a + 0 + 1 - a**3 + 1. Let r be ((-1)\/(-2))\/(3\/(-6)). Let j(t) = r*z(t) - 3*l(t). Factor j(y).\nAnswer: y**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -24*(-21 - -10)\/(-33)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1867 + -0.2133. What is the biggest value in 2, 4, -47, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 49\/12, -1, -46, -0.4, 13 in descending order.\nAnswer: 13, 49\/12, -0.4, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 + 4*y**2 + 4*y - 1. Let v(l) = l**3 - 4*l**2 - 4*l - 6. Let c be v(5). Let r(g) = -4*g**3 - g. Let t be r(c). What is m(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 + 27 + (4 - (2 + 2 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1c (base 16) in base 3?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -3*w. Let u be b(1). Are -4 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (75\/2)\/((-2)\/(-4)). Suppose 0 = 2*g + 27 + u. Let m = g + 86. Solve 16 = -s + 4*l, -3*s + 8*s = 5*l - m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 + 10*d + 6. Let k be u(10). Let q be 3\/4 - 540\/80. Let o be q\/(-27) + 1880\/45. Calculate the highest common factor of k and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k - 13*k - 441 = 0. Let p be (-15)\/(-21) + 1\/k. What is the fourth smallest value in p, -3\/4, -1\/3, -5\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -169\/34350 and -137\/18?\nAnswer: 103050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 5*k + 32, 0 = -u - 3*k + 5*k + 35. Let o = u + -41. What is the second smallest value in 18, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, p: 1, j: 2}. Give prob of picking 1 j and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 7 + 8 = 0. Let i be -2*c\/(-10) - (-4554)\/230. Find the second derivative of 765*b**3 - 341*b**3 - 379*b**3 + i*b wrt b.\nAnswer: 270*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-2))\/(-1)*(-221)\/((-11271)\/(-306))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, a: 2, p: 2, x: 4}. Give prob of picking 1 x, 1 p, and 2 a.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 13087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 4*s. Let d(r) = -r - 1. Let l be d(4). Let z = -17\/3 - l. What is the second smallest value in s, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103648 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 405947708958708.\nAnswer: 405947708958713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/3*(-4)\/(-6). Let g(f) = f - 14. Let m(o) = 10*o - 5. Let v be m(2). Let u be g(v). Which is bigger: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3  (b) -0.3  (c) 1  (d) 15  (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 137964*r - 137960. Determine l(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7426441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 633*f - 568*f = 1495 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8653629 and 1527111?\nAnswer: 25960887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**22*q\/(q*q*q\/q**7*q) assuming q is positive.\nAnswer: q**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -5 + 144\/28 + (-96)\/(-14). Let t(a) = -a + 9. Let o be t(11). Let l = k + o. Put -3, -1, l in decreasing order.\nAnswer: l, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**3 + 3*a**2 - 5*a - 2. Let b(n) = -4*n - 56. Let k be b(-13). What is i(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 = 672\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -238*i + 248*i + 50 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5085 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 921 - 896. Suppose -4*i - w = -f, -i - 13*w - 5 = -15*w. Find t such that 75\/4*t**2 + 12*t + 21\/4*t**4 + 57\/4*t**3 + 3 + 3\/4*t**i = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 225 = -4*t, -2*s + 37 = -4*t - 41. Suppose -s*r + 50*r = -51. Let y = 87 + r. What is the remainder when y is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 + 1. Let w = -19 - -18. Is r at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 157, 174, 217, 298, 429, 622, 889, 1242?\n\"Answer: 2*t**3 + t**2 + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 2*j**2 - 2 + (-2*j + 2*j - j)*(0*j + 2*j + 3*j) to the form y*j**2 + k + f*j and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c\/(c\/(c\/c**(-7))))\/((c**2*c*c*c)\/c))**(-1\/57)\/((c**(2\/7))**(2\/9))**(-48) assuming c is positive.\nAnswer: c**(1181\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -117, -130, -165, -228, -325, -462, -645?\n\"Answer: -r**3 - 5*r**2 + 9*r - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 3, 2\/9, 315, -28?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 765648?\nAnswer: 2, 3, 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4, -5, -34, 4 in ascending order.\nAnswer: -34, -5, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57.891 kilograms to milligrams.\nAnswer: 57891000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-170)\/30)\/17)\/((-35)\/30)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 83310676646167 - -3?\nAnswer: 83310676646170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.5865527 + -17.6867267. Let j = w - -16.1. Round j to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 38 + -36. Let j be 3\/((-126)\/12)*1\/(-2). What is the second biggest value in g, 0.01, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1766 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 12 = 3*r, -6 = -2*s - 207*r + 206*r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 - 20*b**2 - 39*b - 25. Let r be y(-18). Is r <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -2*m. Let c be (-1 + 2 + -4)*-3. Let z(y) = y + 0*y - 2*y - c*y. Give z(g(p)).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 71 + 83. Find the first derivative of 104*o - c - 246*o + 67*o wrt o.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (52 + -3 - 4) + 0 + 1. Let u = x + -41. Solve 20 = -3*m - u*c, 2*m + 4 = -c - 0*c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68241 is divided by 149.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 808681 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -9891  (b) 3  (c) -13  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 17557696 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -40 + 49. Let x(s) = s**2 - 2*s + 1. Let o(u) = -u**3 - 4*u**2 + 9*u - 4. Let i = -98 - -100. What is c*x(g) + i*o(g)?\nAnswer: -2*g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -1 - (1 + -50 + 2)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*l + 16 - 16 - 40*l - 41*l + 92*l + (3 - 3 + 2)*(0*l + 0*l + 2*l) + 3*l - 2*l - 3*l as n*l + p and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 1003?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 501 is divided by 242.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 3*p = 20, 4*z - 300 = -4*p. Let x be 483\/(-35) - (-8)\/10. Let l(k) = k**2 + 12*k + 5. What is the remainder when z is divided by l(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 117529803, 117529804, 117529805, 117529806?\n\"Answer: a + 117529802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-21)\/12)\/(((-216)\/(-144))\/(12*1))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*v = 277*v - 57*v + 5795 + 9277 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -4*l + 15. Suppose -3*a - 2*a - 3*w + 9 = 0, -2*a = -5*w - 16. Suppose a*n - 5*n = -4. Solve -20 = h - 3*f, l*h + 3*f = n*f - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 29709*l**2 - 29709*l**2 + 4*l**3 + 20 + (-l - 6*l + 5*l)*(7*l**2 + 2 - 2).\nAnswer: -10*l**3 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that o**3\/4 + 63*o**2\/2 + 1323*o + 18522 = 0.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.015 times -6951?\nAnswer: -104.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4434*y + y**2 + 1869*y + 2565*y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -250 = 26*i + 36. Let m(f) = -56*f + 67. Let u(c) = -171*c + 200. Let j(o) = i*m(o) + 4*u(o). What is the derivative of j(n) wrt n?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2273.819 tonnes to grams.\nAnswer: 2273819000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -25968 != -25851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/3392 and -143\/8640.\nAnswer: 457920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 60093*k**2*o + 2*k*o + 5268*o - 1 wrt k.\nAnswer: 120186*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(24)\/((-3*sqrt(88) - sqrt(88))\/sqrt(11)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*n - 5 = -35*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-66 + 7 - 31)*(-2*m - 3*m - 16*m)*(0 - 2 + 1).\nAnswer: -1890*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + k + 2*k + (0 + 2*k + 0)*(0 + 1 - 3) - 4 + 4 - k + (-1 + 1 + 2*k)*(2 + 1 - 5) - 3 + 3 - k - 2*k - 2*k + 2*k)*(-15*k - 14*k + 8*k).\nAnswer: 231*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 88013461.\nAnswer: 4909, 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 93\/2  (b) 1\/3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 54, 128, 202, 276, 350, 424?\n\"Answer: 74*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -391 + 91. What is i rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -4\/1305 and -35\/11426?\nAnswer: 514170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2059\/65 - 158\/5. Sort -12, h, 1\/9, -0.2 in increasing order.\nAnswer: -12, -0.2, h, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.5?  (a) 2  (b) -7  (c) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**2 - 28*c + 183. What is the least common multiple of h(18) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1545 and 110622?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -0.0443\nAnswer: 0.0886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 9. Solve k = -x*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 482\/183 - -2\/61. Which is the nearest to -1\/2?  (a) 1  (b) u  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8127539 and 266.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 81\/5 + -16. Let q = 317\/13 - 647\/26. Sort 5, a, 0.1, q in ascending order.\nAnswer: q, 0.1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = g + 54. Let l = -37 + g. Calculate the remainder when (-2)\/(-4) + 195\/6 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 16688  (b) -1\/5  (c) 0  (d) 12\/329\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -315664 + 315664 + 534*a**5 + (-a**4 + 1 - 1)*(-4*a + 3*a + 3*a).\nAnswer: 532*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3536584 and 3021.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-26)*m**(1\/8) assuming m is positive.\nAnswer: m**(-207\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13904 and 4191?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.15749 + 0.19749. Which is the nearest to -1.4?  (a) -5  (b) 0.07  (c) g  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -410827 by -21.\nAnswer: 410827\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 341.5437mg in nanograms?\nAnswer: 341543700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 + -2. Suppose -p*y + y + 40 = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 p when three letters picked without replacement from {t: 1, h: 3, d: 4, z: 5, p: 1, r: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(1053) + 3)*-4*-1*1 + -2 + 3)**2.\nAnswer: 648*sqrt(13) + 16929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1748013989 to the power of 1\/2, to the nearest integer?\nAnswer: 41809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 5:43 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -79*r**3*y - 49*r**3 - r*y - 84898*y wrt r?\nAnswer: -237*r**2*y - 147*r**2 - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -8*y**2 - 6. Let f(v) = -7*v**2 - v - 7. Let q(x) = 4*d(x) - 5*f(x). Let w(m) = m**2 + 2*m + 5. Give 2*q(i) - 5*w(i).\nAnswer: i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 467 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w - m - 2, 2*w - 1 = -m - 3. Suppose w = -3*j + z + 161, -z + 45 = j + 3*z. Let t be j\/(-212)*(1 - 0\/(-2)). Is t less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 294 + 155 + 20212*d + 148 - 597 as k*d + u and give k.\nAnswer: 20212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -0.5, 0.5, -0.2, 104, -150, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000013874894 rounded to seven dps?\nAnswer: 0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 288530 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*q + 6*q + 3817 - 3791 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3101292 is divided by 1550641?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence py when two letters picked without replacement from wyenwwynnwbwnpw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(2\/9)*n**(-7) assuming n is positive.\nAnswer: n**(-61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - 0 - -17) + (-5 - 0 - (0 + -34)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3626087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92 = p + 3*p. Let m = 31 - p. Let j(u) = 11*u - 9. Let q(i) = 32*i - 26. Let v(a) = m*j(a) - 3*q(a). Find the first derivative of v(d) wrt d.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 189 - 679 = -70*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 + 18. Suppose u = k*u + 12. Let q be u\/(-3) + 0 + 3. Solve q = 2*r + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*b + 27 = 66 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44 - 114*w**2 + 44.\nAnswer: -114*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/130006 and -31\/300.\nAnswer: 19500900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 39445 and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 - 15*j**2 + j + 18. Let r be a(-15). Let o be r*((-4)\/(-24) - 13\/(-6)). Solve -4*g + o*g = -3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11172 and 80514?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gm when two letters picked without replacement from mmggmmmmmm?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 46 and 52141?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3096 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2091043 is divided by 60?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 1. Let j = 9 - 11. Which is the smallest value?  (a) n  (b) 2\/9  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -17*r - 3. Let j be (323\/76)\/((69\/(-120))\/23). Let v(s) = 476*s + 85. What is j*t(f) - 6*v(f)?\nAnswer: 34*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 75 divide 231863282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 d when three letters picked without replacement from {k: 1, n: 5, d: 1, a: 3, u: 3}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1258 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28, -7, 0.5, -139, -0.2, 2\/11 in decreasing order.\nAnswer: 0.5, 2\/11, -0.2, -7, -28, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.21  (b) -2  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-t**2 + 4 - 4 + (3 - 5*t - 3)*(t - 4*t + 10*t))*(44 + 33 - 40 - 3 + 0 + 2 + (3 - 4 - 1)*(-2 + 5 - 1)) to the form y + w*t**2 + h*t and give w.\nAnswer: -1152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 11011111001111000101110 (base 2) to base 8\nAnswer: 33717056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - -12. Let d be (1 + n - 1)\/2. What is the units digit of 1\/(-2)*d + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/2  (b) -528  (c) 7  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8.6 - 1.4. Let w = x + 4. Let r = -5.999999 - w. What is r rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 5  (b) 1  (c) 46  (d) 2  (e) -10\/9  (f) 4  (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 2*w + 1. Let s be f(1). Suppose 3*j + 20 = 7*j. Sort j, s, 4 in increasing order.\nAnswer: s, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 divided by -11?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -2520 (base 8) to base 13\nAnswer: -808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 - i**2 - i + 1. Let j(x) = 6*x**2 + 2*x - 3. Calculate -j(d) - 2*s(d).\nAnswer: 2*d**3 - 4*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2013\/8 + 252. Let p be 2\/(-4) + (-1)\/(-6). Which is the biggest value?  (a) p  (b) -1\/9  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-120 - -2) + (-2 - 1) + 11 + (64 - 58)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15*(-24)\/144*6\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.3 and 305752.6004372.\nAnswer: 305752.3004372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/11, 2\/9, -0.5, 14, -101?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11\/2?  (a) -3  (b) 4\/7  (c) 3  (d) -5  (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15*d**3*j - 97475*d**2*j + 6*d*j - 1325*d + 25 wrt d.\nAnswer: -90*d*j - 194950*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 4*i - 90. What is the greatest common factor of i and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**2 + 6*t**2 - 9*t**2)*(-1208 + 1208 - 240*t).\nAnswer: 720*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.6 and -217?\nAnswer: 217.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/5, -2, 75, -4?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (270\/60)\/(6\/(-28))*(154\/21)\/(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 106 a factor of 224411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/5 + 440388\/90. What is the greatest common divisor of 21 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-11)\/132)\/((-5)\/40)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5148 and 13212.\nAnswer: 1889316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 i when three letters picked without replacement from {c: 6, y: 1, i: 5, t: 6}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -4\/5  (b) 7\/2  (c) -0.06886  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 2*x, 8*x + 8 - 2 = -4*d - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + (0 - -2) + 4. Suppose 0 = 2*o - 3*u - 1, 5*o - q*u + u - 13 = 0. Suppose -d = -2*t - 0*d + 229, o*d = -t + 98. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - 0. Suppose -16 = 5*l - 2*o - 0*o, -o = 2. Let x be l\/(-63) + (-4)\/(-18). Which is the closest to 1\/2?  (a) f  (b) x  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 90 and 2717163.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -11, -196, 6.\nAnswer: -196, -11, 2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = g - 4*s, -3*g + 2*s + 2*s + 27 = 0. Calculate the highest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2587 is divided by 513.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 42232, 42224, 42210, 42190, 42164, 42132?\n\"Answer: -3*f**2 + f + 42234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.03488nm to millimeters.\nAnswer: 0.00000003488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.12759952 to three dps.\nAnswer: 8.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**8\/(a*a**(3\/2)*a))\/((a\/a**(-4\/13))\/a**(-1\/4)) assuming a is positive.\nAnswer: a**(153\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*r + 40*r - 3*r. Let u(m) = -m**3 - 3*m**2 - m + 3. Let i be u(-3). Solve -5*q = 4*c - 3*c + 14, r = 3*c - 3*q + i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express y**3 + 3*y**2 - 54*y - 2*y**3 + 52*y - 3 + 2 as g*y**2 + j*y + d*y**3 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1\/(-3))\/(2\/(-18)). Suppose 16 + 14 = u*n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c00f (base 16) to base 13.\nAnswer: -194c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1336622\/91 - ((-45)\/(-39) + -1). Suppose 4*v - 9657 = x + k, 5 = -x. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 11:02 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 3*z - 31. Let g be h(9). Is -1*(3172 - -4)\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - 20 + 26. Let o be 57\/21 - 4\/(-14). Suppose 0 = -w - o*w. Solve w = -2*r + r + j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -55aa1b6 + b?\nAnswer: -55aa1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -13758a9 (base 13) in base 2?\nAnswer: -10111011110001110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1658253\/1780 - -4658\/5. Let c = x - 244\/267. Calculate the common denominator of -41\/2 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/3 greater than -437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k - 3*k - 4*k)*(5 - 2 - 1)*(24*k**2 + 11*k**2 + 25*k**2)*(5*k**2 - k**2 + 0*k**2).\nAnswer: -1440*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 259 + -223. Which is the second smallest value?  (a) -0.1  (b) 9  (c) g  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 19601*r**2 - 355609 wrt r?\nAnswer: 39202*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6510 - -6517. What is the least common multiple of 414 and i?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/8 and 27\/290.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l + l + 2*l. Let d(o) = 5*o. Let b(n) = -210 + 210 - 4*n. Let c(f) = -4*b(f) - 3*d(f). What is p(c(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 3*y - 5, -3*h + 10 = -2*y + 2. Suppose -6 = -3*k + 3*o, 2*k - 2*o = 3*k - 5. Suppose k*p - 4895 = -h*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 - 12*n + 13. Let p(w) = w**3 - 5*w**2 - 9*w + 6. Let r be p(6). Is g(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -3*l**2 + 53*l + 7. Let b be s(19). Let t = b + 81. What is the remainder when 27 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-66) + 2\/(-11). Let j be (-80)\/25 + 1 + 1. What is the smallest value in j, 0.5, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-816)\/(-128) - (-6)\/(-16). Let x(k) = -k**3 + 15*k**2 - 12*k + 7. What are the prime factors of x(d)?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(7488) - ((sqrt(7488) - sqrt(7488)*1)**2 + sqrt(7488))) + 5 + (1*(sqrt(156) - sqrt(156)*1))\/sqrt(3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**2 + 26*t + 90. Let u be c(-22). Suppose u*f = y - 3*f - 1150, 1154 = y - 4*f. Is y a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 plus -3.8884899419509?\nAnswer: -7.8884899419509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86 = 5*x - 2*x + c, -5*c = 2*x - 40. Solve 0*z + 3*z = 5*i - x, 2*i = 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 AM and 11:35 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 174 plus -0.0394806?\nAnswer: 173.9605194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 3*x**3 - x**2 + 1. Let w be l(-1). Suppose i - 3*c - 18 = -2*i, c = -3*i + 10. Let f be (2 - (-1 - -7)) + i. Which is smaller: f or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the first derivative of 56*k**2 - 119*k - 5788. Calculate m(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -262 + 297 + 237 - 13*q - 268.\nAnswer: -13*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (7\/(-8))\/(1\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -7 - (-4 + 23 - 5) - -5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*u**3 + 5102*u**2 - 5102*u**2 - 4 + 4 + 148*u**3.\nAnswer: 140*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -1 + sqrt(425) - (sqrt(425) + 0)*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 203 - 187*c + 2122*c**3 - 207 - c**2 - 3069*c**3 - 1594*c**3 - 3089*c**3 wrt c.\nAnswer: -33780*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 3*p = -3*m + 37, 2*p = 2*m - 18. What is the greatest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, w: 3}. What is prob of picking 1 x and 2 w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0267750235 to six decimal places.\nAnswer: -0.026775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 4 - 8 = -z, 4*z + 2*b - 24 = 0. Let d be 6\/(-6) + (0 - -11). Calculate the least common multiple of 1\/d - (-834)\/60 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*c - 10*c - 6*c)*(-2*c**4 - 2*c**4 + 3*c**4).\nAnswer: 28*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 12*h + 4. Calculate y(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 4 = -4*q, 3*q - 11 = -p - 3*p. Let n(o) be the first derivative of 0*o - 7 + 3\/2*o**p + 1\/3*o**3. What is the second derivative of n(a) wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 - 3)*(-4 + 4 + i) + (6555 + 2687 - 6446)*(4*i - 5*i - 2*i).\nAnswer: -8389*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3056 = 228*o - 1173 - 5575 for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 519203 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dbjjwvjdvwjwvvvwvv. What is prob of picking 1 j and 1 d?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-84)\/(-770)*(-1826)\/664.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 u, and 1 n when three letters picked without replacement from {n: 4, s: 3, u: 3, k: 4}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.23 - -0.23. Let x = -1 - 2. Let l = x + 2. What is the second biggest value in -0.4, k, -0.3, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43.882207 rounded to 2 decimal places?\nAnswer: 43.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {l: 6, u: 1, a: 3, g: 1, d: 1, c: 4}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y**2 + 2*y - 4. Suppose -4*j = -9*j + 30. Let l(v) be the third derivative of 3*v**5\/20 + 3*v**4\/8 - 17*v**3\/6 - 125*v**2. Give j*l(c) - 26*w(c).\nAnswer: 2*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-3956)\/230*2\/(-6) and 28\/321?\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/(-130))\/(0 - (-18)\/(-39) - (-3564)\/(-3432))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*t**3 + 4*t - 4*t + 15*t**3.\nAnswer: 31*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**4\/5 - 8*b**3\/5 + 24*b**2\/5 + 64*b\/5 - 128\/5.\nAnswer: -2*(b - 2)**2*(b + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*i + 661 = -1289. What is the least common multiple of i and 55?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 10*i + 9683 = 5*i, 5*y - 2*i = 24155. Suppose -2*p = -7*p + 20, -4*p - y = -5*h. What are the prime factors of h?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b**2 - 76*b + 76*b - 13*b**3 + 2*b**3 + 6*b**3 - 4*b**3 + (-b + 2*b + b)*(2*b**2 + 0 + 0) to the form c*b**3 + f*b**2 + u*b + o and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -363 + 5125*k**3 - 5105*k**3 - 365 - 70 wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -852*o - 234*o - 15322*o + 1214192 = 0 for o.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/7  (b) -4  (c) -13733  (d) -899  (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4508 and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tkeww. What is prob of picking 2 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-7) + 712\/7. Suppose q - p = 5*r, -5*q = -2*q + r - 338. What are the prime factors of q\/11 - 2\/11?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r - 17. Let z be m(-13). Which is bigger: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 + 6*y + 4. Suppose 0 = 4*l - 6 + 26. Let q be p(l). Let f = 5.9 - 6. Which is greater: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 17 = -q, -q - 5*z - 40 = 4*q. Let l be 2\/(-16) - ((-22)\/8 - q). Which is the second biggest value?  (a) -13  (b) l  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*f**5 - 6732*f**3 - 18*f**2 - 151.\nAnswer: -240*f**2 - 40392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3\/4, -0.3, 0, 2\/9 in descending order.\nAnswer: 2\/9, 0, -0.3, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {u: 4, s: 1, i: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8)\/(-28) + 26\/7. Suppose 5*z + 16 = 3*v + 3*z, -d*z = 8. Suppose 7*y + v*j = 3*y, 5*j + 35 = 2*y. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1305468.721 rounded to the nearest 10000?\nAnswer: 1310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -81*z**3 + 3*z**4 + z + 3*z + 87*z**3 + (0*z + z - 2*z)*(z**3 - 2 + 2).\nAnswer: 2*z**4 + 6*z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11 and 8439090.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4076 + -8149\/2. Which is the second biggest value?  (a) -1\/6  (b) 1  (c) -3  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 3. Let o = 154 + -152. Suppose n*i + o*i = 14. Solve 3*b = u + 4 + i, 3*u + 25 = 5*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/15*3)\/((-5)\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1326, -10441, -35098, -83049, -162046?\nAnswer: -279841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 3156475 and 92.8.\nAnswer: 3156567.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 40\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 12, 22, -4, 17 in increasing order.\nAnswer: -5, -4, 12, 17, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*1*sqrt(136))\/(sqrt(392)*-2).\nAnswer: 3*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from lllllllltlllttlltl.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -3*t + 19. Let w be q(5). Let n be (3 - 2) + w + -2. Is -14 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -208*q + 73*q + 54*q + 78*q + 3245 in the form x*q + d and give d.\nAnswer: 3245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -2*c**2 + 4*c + 288. Let z(o) = -o**2 + 4*o + 311. Determine -2*s(w) + 3*z(w).\nAnswer: w**2 + 4*w + 357","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18504117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4219960 rounded to the nearest 100000?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/3, 5712, -0.33, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -5782*p + 28912. Calculate k(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*r + 2*r + 5*r - 1040*r**2.\nAnswer: -1040*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -30 + 33. Suppose 0 = -3*r - k*r + 318. Find the first derivative of -7 - 25*g**2 + r*g**2 - 37*g**2 wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0061564 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/2469094 and -47\/7407282?\nAnswer: 7407282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1265 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-9)\/54 + 46\/(-12). What is the units digit of ((-6)\/(-9))\/(r\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1992 is divided by ((-1 - -4) + 210\/(-28))*(-20)\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 3*u**3 - 2*u**2 + 2*u + 2. Let t(r) = -16*r**3 + 11*r**2 - 11*r - 11. Let m be 5\/((-10)\/8) + 1 + -8. Determine m*q(w) - 2*t(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = l - 8. Let s(k) = 2*k - 3. Let a(h) = h. Let r(y) = 3*a(y) - s(y). Let n be r(l). Put n, 0, 4 in descending order.\nAnswer: 4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-30)\/(-12)*12\/(-5). Let i be l\/(-9)*(6\/10 + 0). Which is the closest to i?  (a) -8  (b) 0  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 7 = -35. Let a be (-7)\/(h\/20)*996. Round a to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 334000 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 1495*p - 2 - 135*p**2 - 1497*p + 0 as x*p + z*p**2 + c and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 421731577 rounded to the nearest 100000?\nAnswer: 421700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*j**2\/15 + 1564*j\/15 + 14558\/5 = 0. Calculate j.\nAnswer: -753, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 5 = 1. Let m = -8.016 - -0.016. Let q = m - -7. Which is the closest to q?  (a) k  (b) -6  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -531 + 296. Let g = d + 235.00000153. What is g rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3*5\/225)\/(-4 + 0). Let a(o) be the third derivative of -2\/15*o**3 + 1\/150*o**5 + 0*o + m*o**4 + 0 + 4*o**2. Factor a(w).\nAnswer: 2*(w - 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -381.6 + 376.6. Let z be (-2)\/8 - 55\/(-132). Put w, 18, z in increasing order.\nAnswer: w, z, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-6)\/l*l*l\/(((l*l\/((l*l*l**(-7)\/l)\/l*l)*l*l)\/l)\/l)*l)\/(l**0)**(-1\/8))**(3\/2))**(-19) assuming l is positive.\nAnswer: l**342","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.1  (b) -250\/3  (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*i**4 + i**3*l*r**2 + 12*i**2*r**2 - 6*i*l*r**2 - 4*i*r + 4*i - 2*l*r**2 wrt i?\nAnswer: 36*i**2 + 6*i*l*r**2 + 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -188814766 rounded to the nearest ten thousand?\nAnswer: -188810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15.803983 + 15.819. What is i rounded to four decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1093 * 1249858.\nAnswer: 1366094794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000024885 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5941 or 4882?\nAnswer: 5941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.1, -7018, -0.02, -3.9?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*h + 6*h + 88 = 0. What is the remainder when 32 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66*j**3 + 0*j**3 - 26*j**3.\nAnswer: -92*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 111 = 36. Let o = 289 - j. Let g be 12\/(-54) + o\/(-18). What is g rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143) + ((1*sqrt(143) + sqrt(143))*4 - sqrt(143)) + 4*sqrt(143)*1)\/(sqrt(110)\/((sqrt(10) - 5*sqrt(40)) + sqrt(10)))*4.\nAnswer: -384*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-43 - -28)\/((-210)\/28). Suppose 5\/2*k + 9\/4 + 1\/4*k**g = 0. Calculate k.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.525324 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 22 - 1125?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-170)\/(-45) + (-4)\/(-18). Suppose z + 2 = -3*l + 10, 3*l + 2 = w*z. Let y = 261 + -256. Solve 3 = -c - 4*g, 0 = c + 3*g + z*g + y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 21*i. Let g(k) = -3*k + 11. Let z be g(3). Suppose -24 = -z*d - 10. Let c(n) = -n - 4*n + d*n - n. What is v(c(y))?\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*3*(18\/(-2))\/27.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, -1, -16, -49, -106, -193, -316, -481?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a day in seconds?\nAnswer: 27648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.9, 0.3, 0, 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 6806*l + 893. Is g(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(2*15) + 14\/35. Which is the second smallest value?  (a) 8  (b) -2  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4345 (base 10) to base 12\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2476.\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes after 3:54 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1729 and 392.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -957*l = -994*l + 3951119. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22.5 - 22. Let h = 0.65 - q. Let w = h + -0.1500085. What is w rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2\/2 + 36383*a + 1323722689\/2.\nAnswer: (a + 36383)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -126 divided by 131.\nAnswer: -126\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 155358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert d (base 15) to base 2.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) 4  (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -189824380*y**3 + 146608301*y**2 wrt y?\nAnswer: -1138946280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - 12. Let i = m + 13. Sort 3, 1, i.\nAnswer: i, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 46 + -45.81. Let c = -2.19 + y. What is the second smallest value in -4\/5, 0.4, c?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11382217 and 50232?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -8, 5, 36, 91, 176?\n\"Answer: a**3 + 3*a**2 - 3*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5807371 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -2*z**2 + 6223*z - 3089458. Calculate i(620).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 24184769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c**4 + 4*c**3 + 15*c**2 - 18*c = 0. What is c?\nAnswer: -2, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 d, 1 x, and 1 y when four letters picked without replacement from oddyxdvdxvvlloxy?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 1 - 11 = 0. Suppose 152 = w*g + 3*g. What is the remainder when 91 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 5:18 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -336 divided by 56\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*w, 3*o - 65 = -2*o - 5*w. What is the highest common factor of 40 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v**4 - 4 + 4 + (-2 + 3 - 5)*(6*v**4 + 2 + 2*v + 123*v**3 - 123*v**3) in the form l + p*v**3 + x*v**4 + o*v + j*v**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a + 0*a + 3*a**2)*(-1408*a**2 - 1295*a**2 - 110*a**2).\nAnswer: -8439*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 4*k = 2*c - 92, 3*c + 5*k = 140. Suppose 9*d - 4*d = c. What is the units digit of d*4 + -2 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-3*sqrt(2299) + 4 + -3)**2.\nAnswer: -198*sqrt(19) + 62076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -302 - -424. List the prime factors of u.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92 = -5*v + v. Let y(j) = 3 - v*j - 25 - 28. Let l(b) = -11*b - 25. Let o(x) = -7*l(x) + 3*y(x). Differentiate o(w) with respect to w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 88, 130, 182, 250, 340, 458, 610, 802?\n\"Answer: q**3 - q**2 + 38*q + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 61410 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2862*n**4 + 27*n**3 - 214*n**2 + 361*n?\nAnswer: 68688*n + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -307 or -333?\nAnswer: -307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -160*t = 59*t - 26*t - 1158 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, -1, -2, -7 in ascending order.\nAnswer: -7, -2, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 329*b - 9. Give u(1).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 + 8. Suppose -f = -z*f + 2. Let y(d) = 4*d**2 - 2*d + 3. Let q(b) = -b**2 + b - 1. Calculate f*q(s) - y(s).\nAnswer: -2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*j**3 + 11*j**3 - 3*j**3)*(2 + 0 + 3) + 0*j**3 + 2*j**3 + j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2e (base 16) to base 15.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 22*b - 360. Calculate s(15).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*n**5 - 117*n**4 - 432*n**3 + 3012*n**2 + 12240*n = 0. What is n?\nAnswer: -34, -6, -4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b**2 - 4*b + 5. Let x(c) = 2*c - 4. Let m be x(3). Let l(w) = -2 - w**m + 0*w + 2*w - 3*w + 3*w. Let u be (8\/(-6))\/((-4)\/6). Give u*q(j) + 5*l(j).\nAnswer: -j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 1028 = -3*r + 6990, 4*r - 29832 = -5*p. What are the prime factors of p?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 357727*h**5*i + 126*h - 8*i + 37 wrt h.\nAnswer: 7154540*h**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 750 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w**4 + w**2 + 0*w**3 - 4*w + 2*w**3 + 2*w in the form s*w**2 + u*w**3 + d*w + a + f*w**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 - 8. Suppose o*c + 4*c = 764. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/67?  (a) -0.1  (b) 0.4  (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 9. Suppose 3 = 2*l - g, -4*g - 6 = -2*l - f*l. Find the third derivative of -2*m**4 + 5*m**4 + m**2 + m**l wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7.8 less than or equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 113*m**2 - 222*m**2 + 110*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1705535*a**4 + 150095 wrt a.\nAnswer: -6822140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 159*z - 157*z + z**2 - 1139*z**3 + 1149*z**3 + 8 as o*z**2 + p*z + q + n*z**3 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u. Let c(d) = -308*d**2 + 611*d**2 - 16 - 304*d**2. Give h(c(i)).\nAnswer: i**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6761 + 10392. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*c - 4*c + c**2 - 3*c**2 + 13*c**2 - c**2 + (0*c - 2*c**2 + 0*c)*(20 + 4 - 12))*(c**2 + 4 - 4) + 3*c**4 - c**4 - c**4.\nAnswer: -13*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -342233 (base 5) to base 12\nAnswer: -7081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f**2 + 28*f - 60 = 0. Calculate f.\nAnswer: -30, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -440, -1889, -4342, -7799, -12260, -17725, -24194?\n\"Answer: -502*u**2 + 57*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 + 7 + (-29 - -20) - 4) + 37.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5554 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of -u**3\/3 - 87*u**2 + 895*u + 6854. Determine f, given that b(f) = 0.\nAnswer: -179, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 111 - -32210011121?\nAnswer: 32210011232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 86140.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 154497.2l to millilitres.\nAnswer: 154497200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16 + 4 + 10)*(0*i**4 - i**4 - 3*i**4) to n + b*i + g*i**4 + m*i**3 + j*i**2 and give g.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/3 + -2)*(102 - 99)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 + 7*o**2 - 12*o - 3. Suppose 4*j - 7 = -3*j. Suppose 0 = -5*g - 3*i - 28, -3*i + 3 = g - j. What is b(g)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16 - -1)\/((-13)\/((-4940)\/57)*12\/(-3)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 643205477 to the power of 1\/2, to the nearest integer?\nAnswer: 25361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11649 - 4000. Let t(m) = 7649 - 4*m - x. Let i(s) = -4*s**2 - s. Give t(i(f)).\nAnswer: 16*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + -2. Let r = -354.28 - -355. Let j = r - 1.62. Which is the closest to j?  (a) 0.4  (b) h  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*-292.\nAnswer: 29.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 758 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**3 + 6*m**2 - m + 8. Let g(x) = 3*x**3 - 19*x**2 + 2*x - 25. Let i(d) = -2*g(d) - 7*q(d). Let a = -5075 - -5079. Calculate i(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 855?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175) + -4 + -1*sqrt(175) + -2 + -1 + sqrt(175))*5 + (sqrt(175) + (2*(sqrt(175) + -2 - sqrt(175)))**2 + sqrt(175) - (-4 + -4*sqrt(175))).\nAnswer: -15 + 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 - -50. What is the remainder when 122 is divided by g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, a: 2, d: 2}. Give prob of picking 1 a and 1 q.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.2845 to 1 dp.\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -5*h - 9. List the prime factors of u(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1317 + 1303. Which is the second biggest value?  (a) -0.086  (b) 2  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/(sqrt(96)*-3) + sqrt(15)\/(sqrt(5) - -1*sqrt(5)) + ((sqrt(3) - sqrt(9)\/sqrt(3)) + sqrt(3) + sqrt(3) + -1)**2.\nAnswer: -43*sqrt(3)\/12 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -488 + 491. Let h be (-1 + -1)\/(8\/20). Sort 5, h, v in increasing order.\nAnswer: h, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -18*k**3 + 2*k**2 + k + 1. Let l be m(-1). Suppose -3*z - 170 = -3*w - z, 0 = 4*w + 5*z - 265. Let h = -58 + w. Solve 3*d = -h*d + l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 12) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of -1\/16*x**4 + 0*x - 1\/24*x**6 + 0*x**2 + 120 - 1\/2*x**3 + 1\/5*x**5. Let z(i) = 0. Calculate i.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -5  (c) 4  (d) -405  (e) 2\/3  (f) 5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 255177583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*f**2*n**3 - 1369*f**2 - f*n**3 - 4*f*n**2 - 1913*f*n wrt f.\nAnswer: -4*n**3 - 2738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 66 - 26. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the third derivative of t**4\/12 - 7*t**2. Let b(m) = m**2. Determine b(w(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 5 * -10.5787\nAnswer: -52.8935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3371 and 10?\nAnswer: 33710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7166 is divided by 4913?\nAnswer: 2253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/9 - (-38)\/9. Suppose 3*k = 8 + s. Suppose -4*u + 76 = -3*a, u + 0*a + k*a - 38 = 0. What is the highest common divisor of 154 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 3*p**2 + 16*p - 6. Let t be v(-6). Let g be t*(-2 + 32\/12). Solve 3*m - 24 = g*k, 1 = -5*k - 2*m - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 535 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 24 + 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.61, 0.1, 6206 in descending order.\nAnswer: 6206, 0.1, -1.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9024)\/(-64))\/((-96)\/32).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -76.4 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((-2 + sqrt(20))*-3 - (-3*sqrt(500) - sqrt(20)))*3 + 4)**2.\nAnswer: 3432*sqrt(5) + 30904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that j**5\/5 + 3*j**4 + 36*j**3\/5 - 4*j**2\/5 - 48*j\/5 = 0.\nAnswer: -12, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -232277947*w**5 + 133743403*w**2 + 2 wrt w?\nAnswer: -13936676820*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -15 in 0, 9, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/64 of a milligram in nanograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*u**3 + 4*u - 43*u**3 + 65*u**3 + 13*u**3 - 4*u.\nAnswer: 55*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**4)**(-11)*(l**(-11)*l)**(-1\/5))**(-1\/37) assuming l is positive.\nAnswer: l**(42\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k**4 + 2*k - 2*k + (2*k**2 - 2*k**2 + 32*k**2)*(3*k + k**2 - 3*k).\nAnswer: 31*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of 0*r**4 + 5\/3*r**3 - 1\/20*r**5 + 0*r**2 + 6*r + 0. Let y(a) be the second derivative of l(a). Let p(m) = 4*m. Give p(y(f)).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6200, 12428, 18656, 24884?\nAnswer: 31112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -752, -2823, -6270, -11093, -17292?\nAnswer: -24867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -16\/9  (c) -2\/5  (d) -185  (e) 2  (f) 1\/5  (g) 0.38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.171197478 to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-45)\/(2 + (-14)\/4). Which is greater: 33 or l?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -175 - (-100 + -4 + 0).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zrrzkkrrrzlrzlrrrk. Give prob of sequence krlk.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 165 + 2. Let p = m + -165. Solve 0*z = -p*z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -209*r**2 - 32*r + 12832 wrt r.\nAnswer: -418*r - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 1 + -2 + 0 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -9*k + 5 + 6 + 1 - 17. Calculate x(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*n - 5*n + 5*n + (1 - 1 + n)*(0 - 3 + 1) - 2 + 2 + n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 39677 * -3484.\nAnswer: -138234668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -6*g - 10. Let t be w(-4). Let r be (12\/t)\/(5\/35). Suppose 13 = r*b - 5. Solve 0 = -b*j + 2*q - 1, q + 6 = 2*j + 3*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -378*y**2 - 1787*y - 2062.\nAnswer: -(y + 2)*(378*y + 1031)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from wwsswswwwswwwswssww?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -46, 0, -405, 4, -4, 6 in increasing order.\nAnswer: -405, -46, -4, -2, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 4*p - 16 = 0, 5*m = -0*m - 4*p. Suppose g = m*g. Suppose -310 = -g*a - 5*a. What is a rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1288 at least 1261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -49 - -54 - (-146)\/(-38). Does x = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.777 minus -36267.154?\nAnswer: 36257.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of 35*n**3\/3 - 8*n + 56. What are the prime factors of i(-3)?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 704\/3 - 231. Let j = q - 3. Find w, given that 0 - j*w - 1\/3*w**2 + 1\/3*w**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-94)\/(-47))\/(5\/1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**0*n)**(-2\/11)*n**(-2\/19)*n**(-4))\/((n*n**(2\/3))**16\/(n**(-3\/7)\/(n**(-8)*n))) assuming n is positive.\nAnswer: n**(-107812\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 164*g**2. Let h(z) = -2*z**2 - 1. Determine a(h(j)).\nAnswer: 656*j**4 + 656*j**2 + 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 44 = -4*v. Suppose 0*i = 5*u - i - 112, u - 38 = -5*i. Suppose 4*y - u = 21. Calculate the highest common factor of y and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (623\/5607)\/(2\/9*5).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.12 + -8.88. Let m = 2 + n. Let o = 110 + -114. Sort m, o, 4 in increasing order.\nAnswer: m, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 1441*g = 1439*g + 32, 3*w = 2*g - 24 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*g = -5567 + 111. Let i(b) = -g*b - 174*b + 353*b. Let y(d) = -48*d. Determine y(i(t)).\nAnswer: -144*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.3  (b) -0.07  (c) -0.33  (d) 16.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-182)\/(-210) - 4\/(-30). Let s be ((-8)\/5)\/((-7)\/35). Let i be 14\/s - (1 - -1). Which is the third biggest value?  (a) -3  (b) t  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 0*y. Suppose y = -3*a + 5*o + 118 - 17, a - 11 = -4*o. Suppose 5*u - a = -7. Solve 0*k + 16 = u*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 - -314296?\nAnswer: 314291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 + -4)\/((-92)\/(-88)). Let a = 4317\/644 + m. What is the common denominator of 11\/14 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of -h**6\/5 + h**4\/12 + 16*h. What is the third derivative of w(o) wrt o?\nAnswer: -144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v**2 + 9*v**2 - 5*v**2)*(-9*v + 450*v**3 - v - 458*v**3).\nAnswer: -64*v**5 - 80*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 36694 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -295*h**2 - 7*h + 4. Suppose 6*v = 4*v + 22. Suppose -z = n - 0*n - v, 5*n = z + 31. Let q be w(n). Round q to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -169\/11987340 and 77\/23974680.\nAnswer: 23974680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 2 d, and 1 j when four letters picked without replacement from gnnjrgjpppgnjpddpngj?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.089094079 to 5 decimal places.\nAnswer: -0.08909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 - p**2 - 4*p - 8. Let r be l(-2). Is 7 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z + 2. Let d = 24 + -32. Determine v(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 2*a + 1. Let t(w) = -13*w - 6. Let s(j) = -6*d(j) - t(j). Let z(b) = -2*b - 5. Determine s(h) + z(h).\nAnswer: -h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 9633512*n**2. Let c(p) = -3*p. Give j(c(s)).\nAnswer: 86701608*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -68, -150, -376, -818, -1548, -2638, -4160?\nAnswer: -6186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 532*o - 530*o = 6, -4*j = 3*o - 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1968622 is divided by 386?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -831, -1662, -2493, -3324, -4155, -4986?\nAnswer: -5817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (4\/8)\/(2\/28) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2*l - 10. Let z be f(-9). Calculate the greatest common factor of 88 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1\/1981 - 23789\/33677. Is 0 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1.1 and -389260707059?\nAnswer: 389260707057.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 71 = f, 66 = -f - 2*u - 0*u. Let k be ((-17)\/(-3) - -1)*(-42)\/f. Solve -4*r - 28 = -4*c, -k*c + 5*r = r - 30 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 501087 and 745?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2075, -159, 0.4, -0.3 in increasing order.\nAnswer: -2075, -159, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-6))\/(40\/60)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 311167 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: What is prob of sequence vu when two letters picked without replacement from fuvvyu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 44, 94, 154, 230, 328, 454?\n\"Answer: s**3 - s**2 + 46*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q**2\/2 - 158905*q\/2 + 238353 = 0. Calculate q.\nAnswer: 3, 158902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 12:19 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.2 + 0. Suppose 5*a + d + 12 = -d, 3*a + 4*d = -10. What is the closest to m in -3, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.027?  (a) -14\/9  (b) -3  (c) 0.38  (d) 2\/381\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0293717509 to four dps.\nAnswer: -0.0294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 82*q**5 - q**4 - 135*q wrt q.\nAnswer: 1640*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -3231, -3221, -3209, -3195?\n\"Answer: c**2 + 7*c - 3239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 1158*m + 3323. What is i(-3)?\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -87*j - 28. Is d(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 10083\/1260 + (-17 - -9) and -17\/189.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 1019 - 509 - 510 + 65*a. Calculate w(1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -343 + -2454?\nAnswer: -3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1022211102 + 221?\nAnswer: 1022212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2. Let w(y) = -y**3 - 3*y**2 - y - 1. Let x be w(-3). Let q(f) = -5*f + 2 + 4*f - 6*f**x + f. Suppose 29*t = 34 + 53. Calculate t*g(k) + q(k).\nAnswer: -3*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (70\/105)\/((-8)\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -35.9 + 202.9. Let l = 167.1 - p. What is the nearest to 0.01 in -4, -0.03, l?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/2184 and -47\/1612.\nAnswer: 67704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 22*s**2 - 19*s - 66. What is the hundreds digit of j(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 100\/(-8)*-8*-40. Round p to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3\/8, 0.3.\nAnswer: -4, 0.3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*f**2 - 5*f**2 - 154 - 2*f - 14 + 2*f to the form s*f**2 + i + l*f and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0192570129 to four dps.\nAnswer: 0.0193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - ((-6 - -5) + (7 - 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 546 is divided by 195.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 + 6*v - 4. Let q be 1\/((-8)\/(-816)) + -1. Let u = -98 + q. Give k(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5173 or -4910?\nAnswer: -4910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 8 = 0, -5*s - i - 41 + 47 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 20692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 10*b**2 + 16. Let k(r) = 19*r**2 + 31. Let j(f) = -f**3 + 10*f**2 - 6*f - 21. Let t be j(9). Let s(i) = t*k(i) - 13*o(i). Differentiate s(m) wrt m.\nAnswer: -32*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + k + 49, -2*k - 4 = -2*y + 16. Solve y = -5*v - 0*v + r, 2*v - 5*r = 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80*q + 81*q - 8 = 0. Let z(h) = -26*h + 111. Let m be z(q). Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*v - f + 24, 2*v + 3*f - 5*f = 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 106246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/2  (b) -10.09  (c) 0.3  (d) -3  (e) 85\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1441244 and 231?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -7 + (-2261)\/(-112) + (-243)\/1296. Let r = 59 - 355\/6. What is the fourth smallest value in r, 1, -1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/(-6))\/(16\/24). Is -1*n\/(-1) - -76 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v**3 + 19*v - 15*v + 12*v + 33 + 3 in the form x + o*v**3 + l*v + q*v**2 and give x.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 621 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104 = -4*f, 544510 = -5*m - 4*f + 544411 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.88 + -0.12. Let y = -6 - o. Let z = -11.57 - -11.55. Sort y, 5, z in increasing order.\nAnswer: y, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q**2 - 53*q + 53*q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 - 16*w**2 - 17*w - 3. Let f be i(17). Let u(z) = z**3 + z**2 - 8*z - 6. Let a be u(f). Solve 2*q - 8 = -a*l - 5*l, 5*q + 7 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 368 and 1564?\nAnswer: 6256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:50 AM and 10:46 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -n + 14*c - 17*c, 4*c = -4*n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/5*t**2 + 1\/5*t**4 + 0 - 3\/5*t**3 + 2\/5*t + 1\/5*t**5.\nAnswer: t*(t - 1)**2*(t + 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 247 - 213. Suppose -f*a + 37*a = 120. What is the highest common factor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(8\/3)\/g*g**11)**(-6\/13)*((g\/g**(2\/9))**(1\/79))**(-34) assuming g is positive.\nAnswer: g**(-57130\/9243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -5*m - 46. Let k = -3810 + 3799. Give q(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14790357*c**3 + 57923*c - 18?\nAnswer: 88742142*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -682 - -684. What is the closest to f in -62, -1, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1621167929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2761 + -2788. Which is the nearest to 0?  (a) -4  (b) -0.3  (c) h  (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -139  (b) 3  (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 643 = 6582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 12:09 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.387405 + -112.\nAnswer: -114.387405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/60)\/((-2)\/5)*-1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**4 - 120*d**3 + 219*d**2 + 342*d.\nAnswer: 3*d*(d - 38)*(d - 3)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125122*u + 125191*u = 4692 for u.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3291*i = -3292*i - 31*p + 42, 3*i - 37 = -4*p for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n + 4*n - 3*n)*(5*n**3 - 2*n**3 - 2*n**3)*(-6 + 3 + 2) + (0 + 0 - 2*n**3)*(-38*n - 45*n - 42*n).\nAnswer: 248*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 353838115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 4546012.\nAnswer: 1\/1136503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(6655) - sqrt(6655)*-1)\/(sqrt(77)\/(sqrt(175) + sqrt(7))) + -1 + 6*sqrt(605)*-1)**2.\nAnswer: -132*sqrt(5) + 21781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -10*u + 4. Let b(d) = -11*d + 5. What is -3*b(t) + 4*z(t)?\nAnswer: -7*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 270173 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 2*r - 8, 0*r - r = 3*h + 4. Let b be 0\/(0 - h) - -66. Suppose b - 3 = 3*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.67 - 0.67. Which is the nearest to 0?  (a) 1  (b) m  (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19934577?\nAnswer: 3, 13, 67, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 779693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -220*a**2 - 3*a + 1. Let f be b(-2). Let y be (48\/(-18))\/(3\/72). Let k = y - f. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of -x**6\/120 + x**5\/15 - x**4\/6 - x**3\/6 - x**2. Let g be o(3). Let t = 0.5 - -3.5. Sort g, t, 2\/5 in increasing order.\nAnswer: g, 2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*m - m + 3*m + (1 - 1 - 3*m)*(1 + 0 + 0) - 3*m - 1 + 1 + 1 + m - 1 + (94 - 59 + 61)*(-2 - 2 + 5)*(0*m - 3*m + 2*m) to the form w*m + p and give w.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -m + a, 3*m - 6*m + 152*a - 143*a = -24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 x when three letters picked without replacement from rdyrdprxppi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by 181.\nAnswer: 9\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 27*x + 10*x - 8*x + 12*x. Let i be r(10). What is i rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1244 a factor of 17649152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 58673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11110122031 (base 4) to base 2.\nAnswer: 101010100011010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c\/(c\/(c\/(((c**(-9)*c)\/c)\/c)*c)*c))**15 assuming c is positive.\nAnswer: c**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 2*p + 3*m, -4*p - m + 36 = 4*m. Let v(h) be the third derivative of 0*h**3 + 3*h**2 - 3\/8*h**p + 0 + 0*h. Let s(k) = k. Calculate v(s(c)).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000619 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3108*i + 2512*i + 162760 = 1551*i for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*h - 17*h = -9*h. Suppose 0 = -h*o + 4*o - 2*o. Suppose 0*k + 4*l = -k + 27, o = k - 2*l - 15. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -4*s**4 - 27848*s**3 + 196124*s**2 + 6914208*s + 6690240 = 0.\nAnswer: -6969, -12, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 y when three letters picked without replacement from yqyyummymq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1029 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -5*b + 110, -5*b + d - 4*d = -106. Let r(k) = 6*k**2 - 4*k - 7. Let u be r(b). Suppose -u - 2469 = -6*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -29*g**4 + 113*g**2 + 161*g**2 + 4*g**3 - 4*g**4 wrt g.\nAnswer: -792*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 246 * -2.4852\nAnswer: -611.3592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -40*t**2. Let c(f) = f**2. Determine q(c(u)).\nAnswer: -40*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4238, -4234, -4230, -4226, -4222?\nAnswer: -4218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -14*a**3 - 11*a**2 + 4*a - 11. Let f(w) = -5*w**3 - 4*w**2 + w - 4. Suppose 0 = -12*j - 22*j + 374. Determine j*f(o) - 4*g(o).\nAnswer: o**3 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the first derivative of x**6\/3 - 2*x**5 + 7*x**4\/2 - 2*x**3 + 13. Let a(n) = 0. What is n?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -9*j - 1. Let q(h) = -20*h - 2. Let v(t) = 14*a(t) - 6*q(t). Let k be v(1). Let b(g) = g + 11. Calculate b(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 + -1.5. Let x = -7 + v. Let g = 1.5072 + x. Round g to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3358493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(90\/4))\/((-16)\/(-56)*-14).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a day in minutes?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1.74054 and 9.107?\nAnswer: 7.36646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2100615g to micrograms.\nAnswer: 210061.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -123 - -120. Sort 1\/4, -5, -2, y in increasing order.\nAnswer: -5, y, -2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the third derivative of 7*g**5\/60 + g**4\/24 - 3664*g**2. Let b(r) = 24*r**2. Determine m(b(n)).\nAnswer: 4032*n**4 + 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8155 - -28451. Suppose 0 = i - 2, i = -2*d + 5*i - v. Is (-2 + (-6)\/(-4))*d\/16 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + (-38)\/(-18) - (-663)\/351. Let v(x) = -x**2 + 3*x - 2. Give v(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*l - 16 = 8*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -8847 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 4*l**2 - 4. Let c be k(-3). Suppose 3*p + 4*m + 144 = 572, 0 = c*p - 3*m - 752. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/25 in 0.5, 4, -530\/9, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (-126)\/154*99?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 663, 8129, 20569, 37983, 60371, 87733?\nAnswer: 120069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 48 + 44 + 592*d + 22 - 620*d + 64 as j + n*d and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 725162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24856 - 19012 = -4*f. Let c = f + -5318997\/485. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) -3\/8  (c) 179169  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -164737 - -60787891\/369. What is the common denominator of 69\/574 and k?\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 AM and 11:24 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 53240 divided by 8\nAnswer: 6655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*l - 26 = -3*y + 18*l, 3*y + l - 22 = 0. Suppose 27 + 141 = y*w. What is the greatest common factor of w and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x**2 + 5*x. Let v(r) = -r**2 - 4*r + 1. Determine 3*u(d) + 4*v(d).\nAnswer: 2*d**2 - d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the first derivative of w**2 + 2759. Let o(x) = 37*x - 43. Calculate k(o(n)).\nAnswer: 74*n - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from nbufbxnbbnunnbvx.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -3*x - 3. Let n be -3 - (16\/6)\/(18\/27). Let p be (-2)\/n - (-138)\/(-42). What is u(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38615823 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8144850 and 2823548?\nAnswer: 211766100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**2 - 5*x + 1. Suppose -4*h + 7 + 1 = 0. Let m be g(h). Let q be (-3)\/5 - (-2)\/m. Sort q, 5, 4 in descending order.\nAnswer: 5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -203, -190, -177?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15813, -15808, -15801, -15792?\nAnswer: -15781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (7 - 6)*5\/(-6). Let b = -13\/12 - n. What is the second smallest value in b, 0.1, 29?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20746759.\nAnswer: 11, 23, 82003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 1207500 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.3 and 0.1446748.\nAnswer: 0.4446748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -103 - -222030312?\nAnswer: 222030203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**3\/5 - 912*c**2\/5 - 12996*c - 274360.\nAnswer: -4*(c + 38)*(c + 95)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 10, 9, 8, 7, 6, 5?\n\"Answer: -m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of -20*t**3\/3 - 13*t**2 + 26. Find the second derivative of x(w) wrt w.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-3))\/(6*(-10)\/(-30))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 2 + 1 + (-3 + 2 - 1)*(0 + 0 + 2))*(18*i - 771 - 20*i + 807).\nAnswer: 24*i - 432","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14\/1389 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jio when three letters picked without replacement from {p: 2, i: 1, s: 2, j: 1, x: 2, o: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 100 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in fourty-two fifths of a week?\nAnswer: 84672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -329*x + 2072 - 1085 = 0. Suppose 2\/3*g + 0 - 1\/3*g**4 - 2\/3*g**x + 1\/3*g**2 = 0. What is g?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -306310274 - -306310275.690000302. Let h = -1.69 + t. Round h to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 39 - 5. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*t**2 + 6*t + 3*t**2 + t**2 - 3*t**2 as c*t**2 + i*t + y and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1173718 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) 4  (b) 0.94  (c) -2  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 3 t when four letters picked without replacement from {t: 3, c: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, s: 1, y: 1, v: 1, f: 2, u: 1}. What is prob of picking 1 y, 1 u, 1 s, and 1 v?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(30)\/(sqrt(10)\/sqrt(2)))\/sqrt(2) - ((sqrt(24)\/sqrt(4)*4 + sqrt(6) - sqrt(6))\/sqrt(2))**2).\nAnswer: -51 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/12 - (-20)\/(-24). Let m = 2.4 + -1.8. Which is the second biggest value?  (a) t  (b) m  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000111110010100001 (base 2) in base 6?\nAnswer: 10145201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 6058.566 months?\nAnswer: 0.5048805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*g - 2*g - 4*g + (-2*g + 0*g + 0*g)*(1 + 0 + 0) + 0*g - 2*g + g + (-4*g - g + 3*g)*(5 - 3 - 1))*(197 - 328 - 271)*(-2*g + 0 + 0)*(g**2 - g**2 - g**2).\nAnswer: 4824*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 8 - 5*n)*(27 - 27 - 8*n)*(0 + n + 0).\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of g**7\/105 - 451*g**4\/24 - 172*g**3\/3 + 452*g**2. Differentiate z(n) wrt n.\nAnswer: 8*n**3 - 451","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3707, -3712, -3707, -3686, -3643, -3572, -3467, -3322?\n\"Answer: w**3 - w**2 - 9*w - 3698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(1300) - (sqrt(1300) + 0 + sqrt(1300)*3)) + -4*(3 + sqrt(1300)) + 1*-1*sqrt(1300) + sqrt(1300) + 1*(sqrt(1300) + sqrt(1300)*-4).\nAnswer: -100*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -13 + (-6 - -6) - -5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -3*p**2 - 99*p - 84. Let y be f(-32). Solve -y*n = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 516565781 to the power of 1\/2, to the nearest integer?\nAnswer: 22728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 574923 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10.986 + -11.286. Put 7\/12, -4, 2, u in descending order.\nAnswer: 2, 7\/12, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 + 28*b**2 - 13*b + 466. Let u be h(-29). Solve u*s + j = -8, -6*s - 27 = -s - j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:38 AM and 7:07 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -36.9, 0.3, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 71092328*r**4 + 27961*r + 275 wrt r?\nAnswer: 853107936*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 155 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1\/3, 1\/53, -3\/4 in increasing order.\nAnswer: -3\/4, 1\/53, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 10179*t**3 + 11 + 10145*t**3 + t**2 - 20093*t**3 as r*t**3 + u + z*t**2 + d*t and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes after 10:27 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5575248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 1*(sqrt(315)\/(2*sqrt(45) + sqrt(5)))\/((sqrt(108)\/sqrt(3))\/sqrt(4)*-3).\nAnswer: -sqrt(7)\/21 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:09 AM and 6:09 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(190) - sqrt(190)*-2*5 - sqrt(190))*-5)\/(sqrt(80)\/sqrt(128)*5).\nAnswer: -40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/438863 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33989290 divided by -399874.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 7:54 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-774)\/(-559))\/(24\/(-156)). Let z = -0.3 + -5.7. Which is smaller: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (2 - 3) - 110\/44?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28380 is divided by 7079?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from iiiyccipipci?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/5 + -300 + 301?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 2*d - 2*q + 4, -4*d = 2*q. Let z be (d\/10)\/(19\/7505). Let a = 81 - z. Solve u = -u + a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 7 - (1 + 2 - (-5 + 3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of 103*c**4 + c**3\/3 - 117*c + 374. Find the third derivative of h(o) wrt o.\nAnswer: 2472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 4:00 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 72 = -2*y, -4*l + 7*l + 2*y = 212. What is the greatest common divisor of l and 770?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 12*d - 33. Let x be n(3). Do x and 42\/23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 109 - 109.2648. Let n = -19.3548 - i. Let y = n + 19. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/2 - 963\/(-6). Suppose q - p = -3*q. Let v(d) = -d**3 + 7*d**2 + 2*d - 9. Let o be v(7). What is the greatest common factor of o and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*d - 3*d - 4*d - 6*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 106080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -92 - -91.944. Let j = 0.056 + g. What is the second biggest value in j, 24, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1239?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 149816166 is divided by 8812715.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.02 or -4960?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 3*q - 2. Suppose -4*m + 5 = -3*m. Let u = -15 + 22. Let f = u - m. What is t(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -81818875215+636\nAnswer: -81818874579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -100*n**3*x**3*z + 2*n**3 - 26*n**2*x**3 + 4*n*x**3*z - 6*n*x**3 - 4*n*x*z - 7*n*x - x**3*z + 3*z wrt n?\nAnswer: -600*n*x**3*z + 12*n - 52*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 3*q**2. Let y(v) = -1. Let n(z) = 4*z**2 - 2. Let t(g) = -2*n(g) + 4*y(g). Calculate h(t(p)).\nAnswer: 192*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -2*p + p. Let x be 0*(p\/4)\/7. Suppose 4*i + 8 - 28 = x. What is the closest to -1 in i, -2\/11, 2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(1008) + -1)*-4 + 5 + -1*sqrt(1008)*2)**2.\nAnswer: -3120*sqrt(7) + 100969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 1817*j + 1819*j - 3.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 AM and 1:32 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -5*j - 15, -7*j = -10*j - 4*l - 26. Put 79, j, 0 in decreasing order.\nAnswer: 79, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 638*x**3 - 29*x**2 - 6*x - 974422.\nAnswer: 1914*x**2 - 58*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17833 is divided by 123?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 PM and 10:45 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7194185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32 and 1000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17875 is divided by 414.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -3*x + 30, 54 = 3*a - 2*x - 36. Suppose i - 11*i = -a. Suppose 4*y - 161 = -i*s + 6, 4*s + 188 = 4*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o**3 - 4*o**2 + 4*o**2)*(4*o + 58 - 4*o + o)*(18 - 4 + 17).\nAnswer: 31*o**4 + 1798*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 43261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2578, -2831, -3086, -3343, -3602?\n\"Answer: -f**2 - 250*f - 2327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from zppgggzppuzgqzp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*c**4\/3 + 4*c**3\/3 - 2*c**2\/3 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (4 + sqrt(175) + -1 - ((1*sqrt(175) - sqrt(175))*-5)**2 - ((sqrt(175) + 1)*5 - -3*sqrt(175)*-1)**2).\nAnswer: -724 - 95*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1120 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -134993 - -47993. What is z rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.01 + 0.29. Let m be (3\/(-27))\/((-3)\/9). Which is the third smallest value?  (a) m  (b) -1\/2  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.2 - 36452.\nAnswer: -36453.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 30*l + 31 + 27\/4*l**2 - 1\/4*l**3.\nAnswer: -(l - 31)*(l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 90 or 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/54*90\/24.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1920046 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 2*l + 5*a, 0*l - 8 = 2*l - 4*a. Solve 2*v = l*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4  (b) -0.287  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sqizsioqsqossiqqqss?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2223*g + 120*g - 153314 = 712*g for g.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15.29 + -22.09. Let o = z + 38. Is 1\/3 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1665 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -9*x - 13. Let j(b) = -b**2 + 9*b - 10. Let u be j(3). Let c(n) = 2 + 0 - 22 - 14*n. Calculate u*h(y) - 5*c(y).\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 64\/108*(-21)\/28. Let j = -0.2165 + 0.5165. Which is the closest to j?  (a) -8  (b) l  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 4*d - 150. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -9*y. Let g be t(0). Solve x + 2*w + 5 = g, 4*w + 11 = -x - 0*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -17, 4, -2, 1\/5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**2 + 19*c + 80. Let m be r(-12). Suppose 5*g - 3*v - 119 = -22, -64 = -3*g - 4*v. Let i = g + -12. Put -3, -5, m, i in decreasing order.\nAnswer: i, -3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88 = 16*i + 8. What is the remainder when 7 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13623.44 - -6789984?\nAnswer: 6776360.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*p - 5*n - 12, -13 + 21 = -p - 3*n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9266 (base 12) in base 8?\nAnswer: 37056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -49374497*w**3 + 71021561 wrt w?\nAnswer: -148123491*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*16\/20 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*r + r - 13*r)*(-4*r + 3*r + 0*r) to w*r**2 + b + m*r and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 - 5*d**2 - 8*d + 7. Let h be b(6). Let v(m) = -m**2 - 2*m + 26. What is the tens digit of v(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + ((-1 + sqrt(363))*-3 - sqrt(363)) + 2*sqrt(363) + -3 + (sqrt(363) - sqrt(363)*1*-4) + -5)**2.\nAnswer: -198*sqrt(3) + 3276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*g**4 + 2*g**4 - 2*g**4 - 2*g + g**4 + 12*g**4 + g**4 + (-1 + g**4 + 1)*(1 + 4 + 1) to the form f + m*g + s*g**2 + o*g**4 + l*g**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-288)\/(-15) - (136\/(-20) - -6). What is the highest common factor of d and 1080?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 14\/136 - 2*(-3)\/24. Let d be ((-18)\/(-17))\/(8\/(-14)). Let z = k + d. Sort 2\/15, z, 0.1 in descending order.\nAnswer: 2\/15, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-21)\/4)\/((-15)\/(-60)) - 2. What is the second biggest value in 0.4, 1, g, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 110612?\nAnswer: 2, 27653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*n = -173 + 862 + 907. Calculate the greatest common factor of n and 9861.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 + 4*l**2 + l + 43. What is b(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 152 divide 35147112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hkxk when four letters picked without replacement from {h: 1, x: 1, w: 1, k: 1, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -80802 divided by 6\nAnswer: -13467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*o**2 + 0*o**2 - 12*o**2 + (0*o - 3*o + o)*(1 - o - 1).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 27 - (13 + (-14 - -29))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 186590, 373211, 559828, 746441, 933050, 1119655, 1306256?\nAnswer: 1492853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37993 (base 10) to base 6.\nAnswer: 451521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 22 = -5*z + 103, -3*z + 2*x + 65 = 0. Suppose 0 = 7*a - 6*a + 3, 5*a = 2*o - z. Solve 12 = 4*c + o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - 21*s - 130 = 0, 334 = -5*f - s - s + 204 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 867150 divided by 225\nAnswer: 3854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 250 and 668500.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33\/(-44) + 7070\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 149213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48 + 17840\/(-360))*9\/(-6)*-6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 - 3*i - 2. Let u be b(5). Let s = 8 - u. Let c(k) = -k + 3. What is c(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9245209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**3)**(2\/5))**(-9\/2) assuming z is positive.\nAnswer: z**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 5*v - 7*v + s, 2*v + s - 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.4 and 3?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -51323\/75210 - 152\/1635. Calculate the common denominator of 79\/230 and n.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 1 - (280 + -280).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-39*102\/(-3978))\/(97*-1)?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 4*m = 14, 0 = 4*m + 209 - 213. Which is the third biggest value?  (a) 1\/2  (b) v  (c) 5  (d) -2\/35  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 61.00635 - 61. What is k rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/6 - 2*(-2)\/(-4). Which is the closest to -1?  (a) k  (b) -3\/7  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1238.803mm to micrometers.\nAnswer: 1238803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2, -0.2, 445, 1654\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1133 + 1276. What is the highest common factor of h and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*q - 2*q**3 + 2*q)*(-6*q + 0*q + 2*q + (3 - q - 3)*(1 - 3 + 3)) to l*q**2 + a + s*q**3 + v*q**4 + h*q and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 + 12*u + 3. Let x(y) = -1 + y**3 + 0 + y + 0*y**3 - 6*y**2. Calculate the remainder when x(6) is divided by f(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (421183\/1444056)\/(28\/(-2)*1\/(-8)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.8 + -3.8. What is the smallest value in n, 0.04, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**5 + 0*h**5 + 0*h**5 + (-h - 4*h**4 + h)*(-6 - 2*h + 6).\nAnswer: 7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 3*y + 7. Let f be q(-3). Sort 3, 1, f in descending order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 525 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -662 = -189*i + 94. Solve -i*w + 4 = 4*k, -2*k = -w + 9 + 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 16 = 0, 2*x - x = 4*v + 2. Is 18 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**4*k*k*k*k)\/(((((k**(1\/3)\/k)\/k)\/k)\/k)\/k)*(k*k**0\/k)**(-3\/17))\/((k**(-1\/4)\/k)**(2\/37)\/(k**2*k\/k**(-7))) assuming k is positive.\nAnswer: k**(5269\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3  (b) -2\/3  (c) 0.21  (d) 1879  (e) -0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35492 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 266*k*r**2*t**2 - 924*k*r**2*t + k*r*t**2 - 75098*k*r*t + k*r wrt r.\nAnswer: 532*k*t**2 - 1848*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2817 is divided by 1407?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4626022\/5 + 9006863174\/9735. Let h = w - 2\/177. Let l = 26 + -26. Which is bigger: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 641409?  (a) -7  (b) 5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -24*n - 12. Let b be v(-3). Suppose 5*h - 3*r - 2*r - b = 0, 0 = -5*h - 5*r + 60. What is the smallest common multiple of 30 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -130311322 (base 4) to base 15.\nAnswer: -2500d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/36 and -83\/256?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 6\/7  (b) 99\/10  (c) 0.01  (d) 14  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are -3275 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 102810, 205633, 308464, 411303, 514150, 617005, 719868?\nAnswer: 822739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, w: 1, s: 1, b: 5, q: 3, m: 8}. What is prob of picking 1 w and 1 y?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55, 138, 275, 466?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5\/98, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the second derivative of -t**2 + 1\/4*t**4 - 5\/6*t**3 + 0 + 1\/20*t**5 + 89*t. Give k(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17 + 26. Suppose 0 = 2*n + 4*c + 12, -2*c - 3 = -2*n + z. Suppose -7 = -2*r + n*f + 9, -16 = 3*r + 5*f. Solve -2*m = -r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 47032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2791 + 2785. Let m(t) = 4*t - 10. Let x(a) = 3*a - a + 3 - 3*a. What is r*m(j) - 20*x(j)?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 882 divided by 7.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1517 is divided by 84?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 - 5*o**2 + 1. Let z be m(5). Let j(q) = q + 1 + 3*q - 5*q. Give j(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbtmbtttbmmbtmbbmb?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 1591998838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 330, 1171, 3468, 7953, 15358, 26415, 41856, 62413?\n\"Answer: 122*f**3 - 4*f**2 - f + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1662 + -568. Let y = -22247\/10 - p. Calculate the common denominator of 59\/2 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -3*z - 10, 2*z - 3*z = n + 4. Let i(h) = -4*h**3 - h**2. Let j be i(n). Let b = j - -1. Put 5, -3, b in increasing order.\nAnswer: b, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.1 + 0.1. Let y = -193 + 375. Let j = 548\/3 - y. Which is the second smallest value?  (a) j  (b) 5  (c) 2  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oii when three letters picked without replacement from {t: 1, f: 4, o: 1, y: 6, i: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 98681\/18 - 5475. Find the common denominator of u and 29\/34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 57958 or 57969?\nAnswer: 57969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*(-15)\/90)\/(2\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 + 2*r**2 - 9*r - 1. Let i(p) = 3*p**2 - 14*p + 14. Let j be i(4). What is the remainder when l(j) is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 50199, 100400, 150601, 200802?\nAnswer: 251003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 6*x - 20. Suppose -2*u = x*f - 36, 4*u + 4*f = -u + 84. Calculate the lowest common multiple of u and (-1)\/(-3)*-2*-33.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 12*a = -8*a + 1832, 5*r - 2296 = 2*a. Suppose 2*s - 3*h + 100 = 7*s, -40 = -2*s - 2*h. What is the greatest common divisor of r and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 4*p - 3*p. Suppose 4*q - 118 = 46. Let u = q + p. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55859.7 years in decades?\nAnswer: 5585.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2 - 4*i - 30. Calculate o(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 345, -3094, -12409, -30534, -60403, -104950, -167109, -249814?\nAnswer: -355999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - k + 3719 = 0, -1619 - 871 = -2*x + 2*k. What is the greatest common divisor of 34 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 847, 1692, 2537?\nAnswer: 3382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by -1415?\nAnswer: -6\/1415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 37440 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0.2312, -1\/11, 1\/18 in descending order.\nAnswer: 2, 0.2312, 1\/18, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 38*k - 2 - 17*k**2 - k**3 - 6 + 11. Let l be v(-19). Solve y = -2*c - l, 4*c = 3*y - 0*y - 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 3 + 11334696*w**2 + 0.\nAnswer: 11334696*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 32 (base 4) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 - h**2 + 5*h - 1. Let a be p(-4). Suppose -7 = -2*b + a. Let o(y) = y**2 - 10*y + 13. Calculate the remainder when b is divided by o(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -122223202 (base 4) in base 13?\nAnswer: -3a984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 7\/8, 5, -0.1, -11 in ascending order.\nAnswer: -11, -0.1, 0.2, 7\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 5\/6, 2\/67, 5, -2?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21 and 6027?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (c**2 - 4*c**2 + c**2)*(1 + 5 + 3) to s*c**2 + z + b*c and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 987905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 2204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 175 + -175.408. Let u = f - 6.592. Sort -23, -3, u in decreasing order.\nAnswer: -3, u, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1700 = -55225*h + 110490*h - 55231*h for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that o**5\/4 - o**4 + o**3 + o**2\/2 - 5*o\/4 + 1\/2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 less than -117?\nAnswer: -116.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-21)\/(-12)*(-5 + 637\/13). Let y = -4 - -26. Calculate the greatest common factor of l and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 31*z + 157. Let j be y(-5). Sort -4, 1, j in descending order.\nAnswer: j, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -209878418*m**3 - 242331062*m?\nAnswer: -1259270508*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -140*u - 36 = -146*u. Suppose u = 2*n, -4*n = 5*w - 7*n - 616. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21485 (base 11) to base 16\nAnswer: -79d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and -285413.793.\nAnswer: -114165.5172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 3*z - 3*o = -31, 5*z - 34 = -2*o. Calculate the common denominator of (97\/(-30))\/(z\/(-20)) and -65\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 601 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {t: 12, x: 2, z: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3330 by 5.\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3 - 468*v**2 + 933*v - 466.\nAnswer: (v - 466)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111 is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.0502 + 25.9502. Let h = r + -22.6. Which is the biggest value?  (a) 0.2  (b) 6  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/15)\/k*k**(-1\/24)\/k)**5\/(k**(1\/9)\/(k**13*k))**(1\/15) assuming k is positive.\nAnswer: k**(-2077\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + 2 - (-1 - 1). Let h(y) = y + 1. Let x = -5 + 5. Let i(l) = 6*l + x*l - 2*l + 2. Determine g*h(j) - i(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 738.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = -2*r + 117, -893 + 781 = -2*r + 6*j for r.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/311?  (a) 2\/7  (b) 2.2  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 60\/(-5 + 11)*6*(-4)\/60\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.42 - -0.4. Let z = -0.52 - q. Which is the biggest value?  (a) z  (b) -1  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2*(-1)\/(-3))\/((-2)\/6). Suppose -6*f = -d*f - 652. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*s + 3791 = 3383 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (3 - 0) + 0 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-6\/19)*k*k\/(k\/k**21)*k*k**(-8)\/(k*k*k**(-17)) assuming k is positive.\nAnswer: k**(564\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 284 and 216.\nAnswer: 15336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 40878 - -96775. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/1060 and 39\/55.\nAnswer: 11660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1259 is divided by 93.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 140020719893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -0.12  (b) -2  (c) 702  (d) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the first derivative of c**6\/1800 - c**5\/100 + 3*c**4\/40 - c**3 - 3. Let z(f) be the third derivative of r(f). Factor z(q).\nAnswer: (q - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6 - 8 - -2)\/(0 + -2). Suppose -2*k = -5*k + r + 7, j = k - 5*r + 21. Suppose -k*t - 101 + 109 = 0. What is the smallest value in t, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 0\/(-1) - (9059 - 3)\/(-4).\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -683.45651 to the nearest 10.\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 151 - 159. What is the second smallest value in 3, y, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 29 + -15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1392?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes after 7:22 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -174.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes after 12:31 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 AM and 8:58 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from icewoecoezow.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/18)\/a)**(-12\/5) assuming a is positive.\nAnswer: a**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2287547759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.73 - -0.03. Let p = -0.9 - b. Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -219.1164 and -0.1.\nAnswer: 21.91164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 - 72*o - 5. Give m(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -121074*k. Let l(p) = 2*p**2. Give z(l(r)).\nAnswer: -242148*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 5, n: 9}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 9 = 18. Solve -3*f + 5 - 1 = q, -4*q - 2 = j*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide -6*(-7)\/84*136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-1\/17))\/(s*s**(-10)))\/(s**2\/((s**(-8)\/s)\/s)) assuming s is positive.\nAnswer: s**(-35\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.1 + -0.1. Let n = -2100.3 - -2101.3. What is the nearest to n in -3\/2, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-50)\/55)\/((6\/(-44))\/(102\/136))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - d - 65, -3*q + 0*d + d - 31 = 0. Let y be (-5)\/2*q\/(-6). Let h(c) = -3*c - 6. Calculate h(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 114 and 3919947.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 54 and 3834?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 143509.4km to millimeters.\nAnswer: 143509400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 + -17. Let d = f + 64. Suppose -1 = 2*y + 1, -4*r + 3*y + d = 0. Calculate the remainder when 33 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 176*b - 176*b + 6*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-22)\/(-6)*57\/(-627) + (-14401)\/(-3). What is p rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -7543088 from -9.11.\nAnswer: 7543078.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -6384.55823 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*r + 26*r - 19 = 214 + 49 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*b - 184 = -25*b. Find the second derivative of 3 + b*c - 3 - 170*c - 12*c**4 wrt c.\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -3466*r**2 - 2684*r + 3468*r**2 + 840761 - 1404*r + 1248207 = 0?\nAnswer: 1022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 282 = -5*i, r + 12 = 2*i - 92. Suppose b - 8 = i. List the prime factors of b.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 5 = -4*f + 57, -3*s = 3*f - 39. Calculate the highest common factor of 20 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1686 is divided by 129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.239 - 70.261. Round m to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of s**4\/4 - 2*s**3 - 5*s**2\/2 + 18*s - 1669. Calculate y(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 + -9.05. Let y = -0.15 - b. Let j be 34\/(-102)*1\/1. What is the biggest value in j, 4, 0.1, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 311 divide 38379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 71, 72, 83, 110, 159?\n\"Answer: q**3 - q**2 - 3*q + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (-35 - -48) + (1 - (6 - -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, 0.4, -1897\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -234 + 238 + 6\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 9\/10 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -426181 divided by -145?\nAnswer: 426181\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2476*k + 22 = 9*g + 2478*k, 3*g - 2*k + 22 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-99))\/(10 + (-276)\/27).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -3*g + 59. Let o(s) = 20*s**2 - 36*s - 35. Let v be o(-1). Give n(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 52.96144l?\nAnswer: 52961.44","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 5*l + 5 = 0, -4*l + 23 = 3*f. Let g be (-3 + -1)*(-53)\/4. Suppose m + 3*m + 3*z = g, 5*z - f = -m. What is the remainder when m is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - -212023031021?\nAnswer: 212023031023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the second derivative of 2*z**3\/3 - z**2\/2 + z. Suppose -4*o + 1 + 3 = 0. Does 2 divide g(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 - 2. What is the third biggest value in c, 2\/7, 1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -3*o**3 - o**2 - 8*o. Let y = 20 - 15. Let w(n) = 7*n + 3*n**2 - 22*n**2 + 12*n**2 + 2*n**3 + 8*n**2. Give y*x(a) + 6*w(a).\nAnswer: -3*a**3 + a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-2)*(-48)\/540*-3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(3\/32))\/((w\/((w*w**27)\/w))\/w)*(w**(1\/4))**(1\/10) assuming w is positive.\nAnswer: w**(4469\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4439183 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 60*j + 10*j**2 - 40 + 3*j**5 - 55*j**3 + 2*j**5 + 30*j**4 - 10*j**5.\nAnswer: -5*(j - 2)**3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 1 + (sqrt(13) + 1 + 5 - sqrt(13)*-2*4 - ((sqrt(104)*-1 - sqrt(104))*3)\/sqrt(8))**2.\nAnswer: 180*sqrt(13) + 2958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30 and 14145.\nAnswer: 28290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l**5 + 35*l**3 - 10*l**2 - 60*l + 40 = 0 for l.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1912159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 11824847767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 190 = 2*a - n + 3*n, 2*a = -4*n + 182. Calculate the lowest common multiple of a and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from {u: 1, b: 1, s: 2, o: 2, k: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 312 and 68365544.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2173 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12203874*c**4*i + 3*c**2*i + 8*c*i + 8*c + 39*i + 9665 wrt c?\nAnswer: -146446488*c**2*i + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve q**3\/4 + 8574417*q**2\/4 + 4595044539624*q + 22975169108045 = 0 for q.\nAnswer: -4287206, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -14, -4, 11, -78, -3 in descending order.\nAnswer: 11, -3, -4, -5, -14, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*q - 15*q = -14*q + 145. What is the fourth biggest value in -1.5, -6, 3, q, -1\/6?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 88a - 13b?\nAnswer: 74f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.96  (b) 1  (c) 1\/2  (d) -0.2  (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -r**2*t**3 - 21*r**2*t**2 - 407*r*t**4 - 44*t**2 wrt t?\nAnswer: -6*r**2 - 9768*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1915 - 1912. Solve -6*l + m*l - 19 = 4*h, 2*l = -h - 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12.56 - -7.17. Let n = -3.26 - t. Round n to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 119 is divided by (-6)\/(-1)*(-105)\/(-42)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/((-4200)\/418) + 6\/24 and -8\/63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 - 6*w + 9. Let g be n(5). Solve -3*j - j = -2*c - 18, 0 = -2*j + g*c + 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-777)\/(-666))\/(14\/54) and 9\/148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -419 times -3?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-52)\/(-182) - ((-120)\/(-35) - 3).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.070328544 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -32*b**3 + 333460*b**2 - 868819600*b + 542882000 = 0.\nAnswer: 5\/8, 5210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 1 - 1 + 3*u**2. Let b(z) be the first derivative of 2*z**3\/3 - 22. What is v(b(l))?\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1442352 and 300490?\nAnswer: 7211760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 3*z - 30. Calculate the remainder when z is divided by ((-9)\/(-4))\/(2\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 359 is divided by (-5)\/(-10) + 238\/4.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13 + -8. Let d(t) = 6*t + 14. Let f be (-15)\/(-9) - 3\/(-9). Let p(o) = f*o + 2*o + 0*o + 9. Give j*d(c) - 8*p(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -142359 to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.0807 + -10.0807. Which is the closest to -16?  (a) -4  (b) r  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/6 of a hour in seconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -76951, -153840, -230729, -307618, -384507?\nAnswer: -461396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -6*u + 57. Let i be (-2)\/u*(-77)\/7. Let l(g) = 3*g**2 + 0*g**2 + 3*g**2 - 5*g**i. Let y(a) = 4*a**2. Calculate l(y(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s\/(s*(s*s\/(s\/s**(11\/3)))\/s)))**(4\/31) assuming s is positive.\nAnswer: s**(56\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 - -6. Let a(r) = 5*r**2 - d - 4*r**2 + 13. Let p(q) = -q**2. Give a(p(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 11107867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fnee when four letters picked without replacement from {f: 1, n: 1, e: 5, z: 3}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 2*f - 13. Let r(s) = s**3 - 12*s**2 + s - 11. Let z be r(f). Suppose -3*t + z = -8. Solve 0 = -y + q, -y + t*q = 3*y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*x = 41*x - 80. Let o(u) = -8*u**3 + 7*u**2 + 19*u - 24. Let j be o(x). Round j to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1365 + 34b81?\nAnswer: 3381b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of 23*f**7\/35 + 28*f**3 + 130*f**2. Differentiate y(n) with respect to n.\nAnswer: 552*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 AM and 4:56 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 830 = 161604*o - 161687*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -0*i - 576000. Let j be ((-450)\/(-8))\/((-6)\/i). What is j rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 881548019?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 81*o**3 - 119*o**3 - 186*o**3 - 285*o**3.\nAnswer: -509*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 1. Let u = 13 + -10. Let d(y) = -y - 3 - u + 6 + 1. Give 2*d(i) - k(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 169349*b + 1016047. What is w(-6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 13 and 26268?\nAnswer: 341484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/44 and -111\/10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1  (b) -2.4  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -69 + 66. Let f = -124 + 493\/4. What is the nearest to p in -2\/5, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56 - 3 - (-178 + 202)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*n = 7*n + 25. Suppose h = 5*h - 12. What is the derivative of -2*t**3 + 1 + 4*t**3 - n + t**h wrt t?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5297512 - 34528665. Let n be (-19662309)\/(-2) + 12\/(-8). Let o = n + p. What is o rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -214 = 15*r - 1774. Let l = -108 + r. Which is the smallest value?  (a) -1  (b) 2  (c) 2\/9  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5820 - -44240. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 242837 is divided by 5059.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -9*w**2 + w. Let f(r) = 20*r**2 - 2*r + 1. Let a be f(1). Let c = 11 - a. Let v(s) = -s**3 - 9*s**2 - 8*s + 1. Let m be v(c). What is d(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -498, -1058, -1618, -2178?\n\"Answer: -560*u + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/22, 3\/8, 0.3, -2\/5 in decreasing order.\nAnswer: 3\/8, 0.3, 1\/22, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(14)\/sqrt(2) - (sqrt(700) + sqrt(700)*-2) - (0 + (sqrt(175) - 1*sqrt(175))**2 + sqrt(175)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 PM and 4:30 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 + 5*a**2 - 6*a - 3. Let q be n(-6). Let b be (-9)\/6*(-2)\/q. Let z(t) = t**2 + 7*t + 7. Let x be z(-5). Put b, x, 4 in increasing order.\nAnswer: x, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2085873138 divided by 6?\nAnswer: 347645523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -336\/367?\nAnswer: -336\/367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 5*t**3 + 6*t**2 + 5. Let m(h) = 4*h**3 + 5*h**2 + 5. Calculate -6*m(o) + 5*z(o).\nAnswer: o**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -15*q**2 - 1221*q + 620. Give l(-82).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*u + u - 4*u)*(2*u**2 - 1 + 1) + 4*u - 4*u + u**3 + u**3 + 0*u + 0*u + 1 + 2*u**3 - 1.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1577*d**2*s**3 - 2*d*s**3 + 2*s**3 + 1472*s - 18 wrt d?\nAnswer: 3154*d*s**3 - 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.065498 * -0.54\nAnswer: -0.03536892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 + 39. What is the remainder when (n\/(-10))\/(77\/(-25) + 3) is divided by (-1)\/((2\/11)\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.02 * -129086.\nAnswer: 2581.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1304 + 281?\nAnswer: -1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.27 + -77.27. Let x = m + 76.000033. Round x to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-10)\/3)\/(12\/(-18)). What is the tens digit of (-7 + u)*(2 + -45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 266839?\nAnswer: 266839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 480200349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17101145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 5*g - 5. Let b be q(1). Solve 0 = j - 3*l - 0*l, -j + 5*l - 2 = b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**4 + 6*j**3 - 18*j**2 + 10*j.\nAnswer: 2*j*(j - 1)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 234668 and 4?\nAnswer: 234668","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/2)\/1*(-584)\/(-2044)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -53\/2, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 147.9 + -147.5. Let d = -2.1 + 2. Let v = 0.1 + d. Which is the closest to 1?  (a) r  (b) v  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*f*o**3 - 313*f*o**2 - 2*f*o + 17480*f - 1239*o**3 - o**2 - 5*o wrt o?\nAnswer: -12*f*o - 626*f - 7434*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in v + 0*v + 35*v**3 - v - 39*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 b when three letters picked without replacement from wnnbwzdwbwbz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = 5*f - 37. Suppose -3 = 3*d - 129. Calculate the remainder when d is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -125\/150738 and 71\/463078.\nAnswer: 51401658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21225321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7397?\nAnswer: 13, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21 and 8193381?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 276*q = -110*q + 21448 for q.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*b + 0*b + 0*b)*(-6*b + 4*b + 0*b) - 9 + 9 - 4*b**2 + 802*b**2 - b**2 + 106*b**2 as z*b + k + n*b**2 and give n.\nAnswer: 899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/d**(-2\/5))\/(d**(-1\/7)*d))\/(d**(1\/5)\/(d\/(d**(-1\/4)\/d)*d)))\/((d**1\/d)**(2\/11)*(d\/(((d*d**(-3\/7)*d*d)\/d*d)\/d*d))\/d*d*d**(-6)) assuming d is positive.\nAnswer: d**(1563\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.15 + 0.35. Let n = -4 - -10. Let g = n + -7. Which is the biggest value?  (a) w  (b) -0.1  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(342)\/(sqrt(36)*3 + sqrt(9)))\/(sqrt(32)*4*-1))**2.\nAnswer: 19\/12544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the second derivative of -h**3\/6 + 21*h**2\/2 - 3*h. Let o be b(6). Suppose d - 4*d + o = 0. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -13305.908734 to one dp.\nAnswer: -13305.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -750198 - 1.\nAnswer: -750199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 353463 (base 7) in base 14?\nAnswer: 192da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-722)\/114 - -5) + 5336\/6. What is the greatest common divisor of 37 and z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250282 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 3*l = -60. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 4, 4158 in decreasing order.\nAnswer: 4158, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 496925 is divided by 6290.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -1288598.\nAnswer: 5154392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (2 - 4)) + (19 - 14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4737675 and 140?\nAnswer: 132654900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 59920982 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3\/9*(-24)\/(-28)*-7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2105 - -2211. Is 528\/5 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2 + 7*n - 5. Let x be f(5). What is the first derivative of 3 + 2 + 5*o - x*o - o**3 wrt o?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 69275769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 48638.382 rounded to the nearest one thousand?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -899*r + 2*r**3 + 1 - 16*r**2 + 899*r + 169*r**2 + 2*r**3 to o*r**3 + p*r + d*r**2 + l and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -566, -763, -998, -1277, -1606, -1991, -2438?\n\"Answer: -k**3 - 13*k**2 - 151*k - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -501*g + 1012*g + 1 - 496*g + 62*g**2 - 2*g**2.\nAnswer: 60*g**2 + 15*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the third derivative of -i**5\/60 + i**4\/8 + 11*i**3\/2 - 1770*i**2. What is t(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/4 - 2*(-6)\/24. Solve s - c*s - 9 = -3*r, -3*r = -4*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001416761 to seven dps.\nAnswer: -0.0000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -146*a - 147*a + 286*a. Determine k(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6633795*i**2 + 8821176*i**2 + 10933135*i**2.\nAnswer: 13120516*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 2*y - 72 = 0, -3*z + 76 = -0*z - 4*y. Let c = z + -9. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4239)\/216 + (25 - 7).\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 3260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 742\/2 + 15\/(-5). Suppose 0 = 4*x - 48 + k. Let s be 2*-1 - x\/45. Which is the closest to 0.1?  (a) -0.02  (b) s  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)\/(sqrt(36)\/sqrt(4)) - sqrt(76)\/(sqrt(8)\/sqrt(2))) + (3 + sqrt(2299) + 2 - (sqrt(2299) - (4 + sqrt(2299)*2))**2) + -4.\nAnswer: -2314 - 77*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/((-198)\/55))\/((-30)\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 37 = -u, -62 = 2*u - 3*o + 5*o. Let m = 221 + -170. Let n = m + u. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00021845188 to seven dps.\nAnswer: 0.0002185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -51 + 102. Let w = -50.999913 + j. What is w rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zkw when three letters picked without replacement from {h: 2, k: 5, n: 5, e: 5, w: 1, z: 1}.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9614968 and 94424.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.4393 to two decimal places.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/5, -138876, 15, -5 in descending order.\nAnswer: 15, 1\/5, -5, -138876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27) + 1 + 1 + sqrt(27) - (sqrt(768)\/sqrt(2))\/sqrt(8))**2.\nAnswer: 8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3208000 = -118*z + 122*z. What is z rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/5507040 and -13\/220.\nAnswer: 5507040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5.93*-869.\nAnswer: 5153.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6763412653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.64 and -0.03.\nAnswer: 0.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -113 - -1033?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + -2 + -16 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(3\/5)\/(u**(4\/17)\/u) assuming u is positive.\nAnswer: u**(116\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -115?\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d. Let s(f) = 4*f**2 + 4*f - 14. Let r(l) = -28*a(l) - 2*s(l). Let j(x) = 9*x**2 - 20*x - 29. Let p(h) = -4*j(h) - 5*r(h). Factor p(u).\nAnswer: 4*(u - 6)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5\/24642 or 69?\nAnswer: 5\/24642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71*d + 7*d - 2 + 0 - 35*d.\nAnswer: -99*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*r**3 - 2*r**3 + 4*r**3 + (-1 + r + 1)*(-2*r**2 + 5*r**2 - r**2) - 4 + 4 - 3*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - 7) + (7 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 - 6*z**2 + 7*z + 29. Calculate y(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-7947)\/(-2877) + 11\/77. Let s = x + -43701\/13015. Find the common denominator of s and 12\/35.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-713)\/115)\/31*-15*176\/(-12)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1220, -4975, -11224, -19967?\n\"Answer: -1247*l**2 - 14*l + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 39*d**2 + 6*d + 120. Is g(13) a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4.0632, 2\/33, 0.08 in increasing order.\nAnswer: 2\/33, 0.08, 4.0632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 149 - 1339\/9. Let f = -0.05 - 0.35. What is the smallest value in -1, f, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*v - 11*v - 540 = v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {r: 2, l: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of 3*d + 1\/6*d**3 + 0 - 1\/2*d**2. Let b(s) = -3*s + 5. Let y(j) = -b(j) - 6*u(j). Find the first derivative of y(f) wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of 1\/6*h**2 - 1\/90*h**6 + 0*h**4 - 1\/30*h**5 + 1\/9*h**3 + 0 - 40*h. Factor q(u).\nAnswer: -(u - 1)*(u + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the third derivative of -p**8\/6720 + p**5\/40 + p**4\/12 + p**2. Let t(x) be the second derivative of y(x). Differentiate t(b) wrt b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 4*h**2 - h - 1. Let d be t(-1). Let r be d\/10 + (-105)\/(-50). Which is the third biggest value?  (a) -0.1  (b) 2  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.1, 484, 5, -1394\/5, 1\/7, -0.5, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -2*n + 6*n + 4*s, -5*n - 4*s + 32 = 0. Suppose -n*x + 1067 = 3*x. Is 95 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75194747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the third derivative of -83*s**6\/20 - 58*s**3 - 376*s**2. Differentiate d(b) with respect to b.\nAnswer: -1494*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.4496953 to four dps.\nAnswer: -0.4497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 45147 + -45144. Let g(t) be the first derivative of -3*t + t**2 + 1\/3*t**b + 40. Determine g(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + -1 + -1 - -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 29 = 3*j - 9, 3*p = -3*j - 21. Let w be (-65)\/(-13) - 1\/((-2)\/j). Solve -3*v - 15 = -3*t, 3*t + 0*t = -w*v + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 350*r**4 + 113?\nAnswer: 1400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13794?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -76 + bf3a?\nAnswer: bec4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4731628 rounded to three decimal places?\nAnswer: 0.473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -23707*a**3 + 18*a - 4925. Let z(l) = 31609*l**3 - 23*l + 6566. Let y(t) = 13*u(t) + 10*z(t). Find the second derivative of y(v) wrt v.\nAnswer: 47394*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3*x + 1. Let k(b) = -4*b - 2. Let r(u) = -5*i(u) - 4*k(u). Determine r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 6, d: 7}. What is prob of sequence de?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z + 5. Let q be s(0). Let o be q + -2 - (-1)\/(-1). Differentiate 2*h + h - h + h + o wrt h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 48*u**2 + 33*u + 33. Let p(r) = 3*r**2 + 2*r + 2. Let t(b) = 33*p(b) - 2*y(b). Let k(f) = 3*f. What is k(t(d))?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -275108*f*q - 1276*f - 109*q - 122205 wrt q.\nAnswer: -275108*f - 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000764484 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 289 = 7*b + 4538. Let p = -559 - b. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 2 - 45*x - 2 - 1 - 1. Let g be v(5). What is the remainder when (-2)\/9 - g\/9 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -1. Let x = -0.030327 + -0.169673. Put t, -46, x in ascending order.\nAnswer: -46, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*f - 25 + 4. Sort f, 1, 4 in descending order.\nAnswer: 4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -8 + -1a4621?\nAnswer: -1a4629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5092 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 108.4400425 rounded to 1 decimal place?\nAnswer: 108.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 420.4 and 1780?\nAnswer: 1359.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of 663*x**3\/2 - 5*x - 223. Let t(y) = 3*y. Give t(p(j)).\nAnswer: 5967*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 2*t**2 - 3*t + 2. Let j(d) = 7*d**2 - 12*d + 9. Let g(b) = -347*b - 338. Let y be g(-1). Give y*o(f) - 2*j(f).\nAnswer: 4*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8\/119 - 6\/17. Let x = -0.0536 + -0.1464. What is the nearest to 0.1 in 97, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 7*x**3 + 74*x**2 + 7*x + 52. What is the remainder when l(-8) is divided by 565?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4328893703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, -21, -42, -63, -84?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*a**2 + 25*a**2 + 11*a**2 + 6*a**2.\nAnswer: 47*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2969412 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in sixty-four fifths of a kilometer?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**3 + 213635*i**2 + 205348215*i + 49915313145.\nAnswer: 5*(i + 489)**2*(i + 41749)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h + 8. Let g = -8 + 2. Let i be k(g). Suppose 5*p + 3*l - 4 = 3*p, 0 = 5*p + l - 23. Put i, 4, p in decreasing order.\nAnswer: p, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l**2 + 2*l**2 - l**2)*(10*l**3 - 2*l**3 + l**3) - 10*l**2 - 25*l**5 + 10*l**2.\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22 and 231174954?\nAnswer: 2542924494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 32*j + 120*j - j + 7*j in the form z + m*j and give m.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6.8 + -0.8. Let i = c + 3. Let w = i + -9.063. Round w to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -317\/6 + 53. Let p = 1\/9 - 11\/18. Let j = -17 - -151\/9. Sort p, j, r.\nAnswer: p, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(43\/(-14) + 3). Let z(g) = -2*g + 7. Let q be z(k). Let s = 1 - q. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.15 - -0.22. Let n = 848 - 847.93005. Let x = n - k. What is x rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f. Let w(a) be the first derivative of 3*a**2\/2 - a + 4. Let p(b) = b - 1. Let r(c) = 3*p(c) - 3*w(c). Determine t(r(k)).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 + (13 - 14)\/((-2)\/182). What is the derivative of -168 + 38*o**4 - y*o**2 + 47*o**2 + 42*o**2 - 2*o**3 wrt o?\nAnswer: 152*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2107816 by -31.\nAnswer: -2107816\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 2*p - 18. Let s be y(10). Let w be (3 - (-76)\/(-20))*(s - -3). Is w < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than 0.04799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 4577388, 9154770, 13732152?\n\"Answer: 4577382*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2520495.9ms to days.\nAnswer: 0.02917240625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1169223500?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 342902596 and 1009.\nAnswer: 342902596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + (-2 - -3) + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + 4*r + 0*r)*(0 + 5 + 0 + 0 - 2 + 4 + (3 + 2 - 3)*(-3 + 2 + 2)).\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-8)\/(-6))\/(10\/15). Solve t = s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 take away 2.04758?\nAnswer: -1.04758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1021589 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 8 - 24. Suppose -6*b = 12*b + 2232. Let s = f - b. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -35234500906+-2\nAnswer: -35234500908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*y**3 - 422*y**2 + 2498*y - 1 wrt y.\nAnswer: 18*y - 844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**3 + 9*p**2 - 21*p + 10. Let r be t(5). Suppose 3*f + r*z - 168 = 0, 0*z - 5*z = 2*f - 112. Suppose 5*v + 61 = 2*n - 56, v = -1. Is f less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-6) - (-36)\/27. List the prime factors of 11\/3 + g\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 34 and 58637?\nAnswer: 1993658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = y + 3*k - 6, -5*k + 14 = -3*y. Let f be y + 2*(-33)\/18. Let v = f - -22\/15. Are 1 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -741, -799, -903, -1059, -1273?\nAnswer: -1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1081955365*y + 31*y**2 + 1081955365*y.\nAnswer: 31*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**2 - 5*q**2 + q**2 + (2*q - 2*q - 2*q)*(-q - 2*q + q) + (-3*q + q + 0*q)*(-3 - q + 3))*(-14*q + 7*q**2 + 14*q).\nAnswer: 35*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of -t**6\/120 - t**5\/20 - t**4\/8 - t**3\/6 + 5*t**2\/2 - 5. Let z(d) be the second derivative of a(d). Solve z(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 107*d**3 + 4*d**2 - 9*d + 7. Let t be l(2). Let i(j) = 9*j**2 - j - t + 861. Give i(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5241.005 to zero dps.\nAnswer: 5241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8\/28 + 222\/7. Suppose -5*l = 5*f - r + 232, -60 = 2*l - 2*f. Let s be (l\/21)\/(2\/(-6)). Sort s, 4, -5.\nAnswer: -5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 603106140 to the power of 1\/2, to the nearest integer?\nAnswer: 24558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0349 and -1.\nAnswer: 0.0349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*a**3 + 40*a**3 - 70*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 19 = -3*o, -187*o = -v - 188*o + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 - 1. Let y(a) = -4*a**4 - 12*a**2 - 4*a + 12. Let v = -5 - -5. Let c be 0*(-1)\/(-3) + v - -1. Let t(n) = c*y(n) + 12*m(n). Factor t(l).\nAnswer: -4*l*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -190 - -241. Which is the closest to -2\/3?  (a) -1  (b) t  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -7 + 4*g - 4*g**3 - 13*g - 7*g**2 + 3*g**3. Let f be y(-6). Suppose -34 = -5*x + f. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 3*r + 2. Let q be ((-1)\/(-4))\/((-123)\/(-2460)). Let g(s) = 0*s - 6 + 1 - 5*s. Let t(w) = q*f(w) + 2*g(w). Let d(b) = -b**2. Give t(d(h)).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of 2*x**7\/21 - 4*x**6\/15 - 11*x**5\/5 + 40*x**4\/3 - 88*x**3\/3 + 32*x**2 + 3*x + 1. Solve y(l) = 0 for l.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5400\/(-700) + (-2)\/7. Let x(k) = -k**2 - 7*k + 4. Give x(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 10*k**2 - 3 + 9*k**2)*(-6 + 6 + 2)*(3 - 4 - 6)*(-3 + 0 + 1) as c + x*k**2 + u*k and give c.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 4)*(-29*q + 507*q + 173*q + 254*q).\nAnswer: 1810*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**3 + 3*b**2 + 32*b + 47. Determine q(9).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzgzzzgggzzgzz. Give prob of picking 1 z and 3 g.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 3) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 1399052.\nAnswer: 1\/1399052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12159)\/(-22967)*4\/(-90))\/((-16)\/(-30))?\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 2 + 15*n**3 - 5*n**3 - 2.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3*w = -6*w - 17, 3*w = 3*t - 57. Is 14 a factor of 48\/t*2100\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2447063894 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.7  (b) 0.8  (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -452\/5  (b) -2\/11  (c) -2\/3  (d) -59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -2*t**3 - 27 - 43*t - 12*t**2 + 115*t - 16*t + t**3. Let c be y(-15). Which is smaller: -193 or c?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 239157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 4*c**3 - 3*c**2 + 12*c - 13. Is z(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 6887.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.113 + -0.177. Let s = f + 0.29. Let h = s - 0. Sort -0.3, h, 0 in descending order.\nAnswer: 0, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 860, 1718, 2578, 3440, 4304?\nAnswer: 5170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 - 86*q + 351. Determine f(5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27421545?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -291 - -295. What is the smallest value in 0.06, d, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*y + 6*y - 3*y)*((0 + 1 - 2)*(-3*y - y + 2*y) + (0*y + 8*y - 3*y)*(3 - 3 + 2)) in the form j*y + h + q*y**2 and give q.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-111)\/(-9) + (-12)\/(-18). Suppose 10*h - 5*h = o - 21, -5*o = -2*h - g. What is the units digit of 4 + -2 - (h - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20.2 + 6.8. Let k = 27.000137 - q. Round k to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f**3 - 6*f**2 + 106*f - 424. Calculate p(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from mhghhgmhghwgmgwahca?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/10 + (9\/(-5))\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -189032167\/66 - -2864321. Let o = y - 2172\/11. Let d = -4\/11 - o. Put d, 1\/8, 0.1 in increasing order.\nAnswer: d, 0.1, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18 - 2*g + 4*g**3 + 18.\nAnswer: 4*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -50.44 + 174.75. Let u = p + -124. Which is the second biggest value?  (a) u  (b) 3  (c) 2\/9  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -3*k + 5. Let v be t(2). Let i be ((-2)\/(-4))\/(v\/(-6)). Let l = -73 + 78. Solve -l + 20 = -i*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 179045.\nAnswer: 5, 35809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3260 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 1 g when three letters picked without replacement from cggggcg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 + 10*i**2 - 8*i - 4. Let f = -30 - -37. Suppose c - 16 = -f. Let j be y(c). Solve 0 = 5*m + 5*s + 5, 3 - 4 = -3*m - j*s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + 3 + -5 + 0. Let d be k\/1 - (4 - 10). Solve 4*o = 0, 0 = 2*s + d*o - 9 + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -221*n**4*w*y**2 + 148208*n**3*w*y**2 + 597*n**2*w*y**2 + 3*n*w*y**2 + 3101*n*w - 2*w*y wrt n.\nAnswer: -5304*n*w*y**2 + 889248*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, 7, 41, 2, 2\/5, 2\/15 in increasing order.\nAnswer: 2\/15, 2\/11, 2\/5, 2, 7, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 33 + -29. Suppose -a*m + 25 = k, -3*k - 5*m + 14 = -26. Solve -5*j = -0*j - k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 82 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12 - 4 - (-74)\/(-9). Which is the closest to 5\/4?  (a) 0.1  (b) k  (c) -3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -50398, -100545, -150692?\n\"Answer: -50147*d - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 l when three letters picked without replacement from jhjhhhhlhbhhlbhzjhj?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 26994\/11*(0 - 2\/3). Let t = 3689 + v. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 2\/19863 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -280 - -1841. Let y = m - 785. What are the prime factors of y?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(1*(-1)\/(-198)). Suppose 0 = -2*g + 6*g - y. What is the greatest common divisor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 184355?\nAnswer: 5, 36871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1088) + sqrt(1088) + -4*-4*sqrt(1088))**2.\nAnswer: 352512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*c = -356 - 364 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 376 is divided by 130.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 96223 (base 12) to base 9.\nAnswer: 330580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 115 = p, -p - 4 = -3*p. Differentiate -27*l + 26 - 9*l + 12*l - u with respect to l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -35238\/241 or -145?\nAnswer: -35238\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of -o**5\/20 + 13. Suppose d(k) = 0. What is k?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -w - 3. Suppose -w*f = f - 155. Let b = -20 + f. What is the highest common divisor of 110 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -45456 at most -45459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 66948.4us in milliseconds?\nAnswer: 66.9484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12, 15, 18, 21, 24, 27?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x + 4*x - 4*x)*(-2 + 2 + 2) - x + 3 - 3 - 2 - x + 2 + (571*x - 643*x + 430*x)*(4 + 1 - 3) + 0*x + x + 0*x + (1 - 1 - 2)*(2*x + 1 - 1) - x + x + x.\nAnswer: 708*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1856 divided by -4.\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -30, 246 in ascending order.\nAnswer: -30, 3, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5011 = -i + 5*w - 1941, 0 = 2*i + 2*w - 6152. Suppose -i = -17*q + 2*q. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 3*l + 9 = l, 4*l - 12 = 0. Suppose -n*c + 21 = -0*z + 2*z, c - 28 = -3*z. Sort -5, z, -4.\nAnswer: -5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 790732 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 7) + 40 + -30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3499244438.\nAnswer: 2, 37, 149, 317363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 21 = -3*f - 0, -4*h + 2*f - 2 = 0. Let y = h - -6. Let b(m) = 6*m**3 - y - m + m**2 - 5*m**3 + 0 - m. Calculate b(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 6*h + 2. Suppose -30*z + 33*z = 3*g - 1911, -2*z - 8 = 0. Let k = 628 - g. Let x(m) = -m + 1. Calculate k*x(q) - i(q).\nAnswer: -q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 36*a**2 + 294*a**2 + 104*a**2 - 57 + 63.\nAnswer: 362*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17604 is divided by 590?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 79 + 46 = 0. What is the derivative of 5*y - m + 39*y - 10*y wrt y?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 + 28 = -3*a. Suppose -3*d = -a*x - 3351, -5*x + 57 = d - 1060. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -2*d - 12. Let u be g(-9). Let l = -4 + u. Is l - (-1)\/1*35 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**2\/7 - 48*f\/7 - 45\/7.\nAnswer: -3*(f + 1)*(f + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d + 1 - 1 + (0 + d + 0)*(1 + 0 + 0) + 2 - 2 + 2*d + d + 0*d - 2*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 781*u**2 - 67*u**2 - 98*u**2 to the form d*u**2 + g + s*u and give d.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 88, 0, -5 in descending order.\nAnswer: 88, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 367449 - 183726 - 183723 - 26*m.\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum -162457 and 0.0195.\nAnswer: -162456.9805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*r - 392 + 1176 = 0. Let t = r - -59. Solve -3\/8*d**2 + 0 + 3\/8*d + 3\/8*d**4 - 3\/8*d**t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5721.88 + -484611\nAnswer: -490332.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7179 - 107683\/15. What is the closest to 0 in w, -358.1, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 105\/6*((-265)\/265)\/(2\/(-4)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -14932991 divided by -3\nAnswer: 14932991\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 5*m**2 - m + 1. Let s be o(-2). Let w = s + -5. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-323*l + 30*l - 818*l)*(-3*l + 2*l + 2*l) + 3*l**2 + 4*l**2 - 5*l**2.\nAnswer: -1109*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 107 + 678. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 63482052 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {r: 10, l: 1, i: 8}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 = -7*f - 9. Let l be (-4)\/((-4)\/9) + (-15)\/(-5). Suppose 0*k = -k + 4. Solve -3*v + 5*m - k - l = 0, -3*m + f = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 140781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 11739241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*z - 5*r + 3*r, 2*r = 2*z + 8. Solve -3 = -2*o - 2*n + z, -o = -n - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from chckkkkkccccchc. What is prob of picking 1 k and 1 c?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22, -48, -120, -262, -498?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Let h = 4 + 0. Let w be (-1174)\/(-7) - h\/(-14). Let x(t) = 22*t**3 - 4*t**2 + 3*t. Let z be x(1). What is the highest common factor of w and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 502 and 841709926?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1035, 2502, 4457, 6900, 9831?\nAnswer: 13250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -638, -722, -888, -1142, -1490, -1938, -2492?\nAnswer: -3158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1708 - 1708. Which is greater: -156 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and -53241.\nAnswer: 106482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 9:01 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002082 to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 PM and 2:28 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 2:44 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/(-30)*12\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 46*z. Let m(q) = 292*q**2 + 116. Give i(m(t)).\nAnswer: 13432*t**2 + 5336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 519*h = 539*h - 260. What is the greatest common factor of h and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h = 7*h + 2*n + 12, -5*h + 33 = -n. Calculate the remainder when 101 is divided by 49 - h\/(1 - 3).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, u: 3}. What is prob of sequence uhuh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2*3\/(-9))\/((-1)\/81). Let w = 158 + -47. Calculate the remainder when w is divided by (-4)\/(8\/52 + a\/182).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.49947 - 2.5. What is f rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l - 156*l + 3*l**2 + 35*l)*(3*l**2 + 3*l**2 - 4*l**2).\nAnswer: 6*l**4 - 252*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2657841 and 81.\nAnswer: 71761707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118 = 4*f - 2*n, n = 4*f - f - 91. Let v be 506 - 8*(-9)\/12. Calculate the greatest common factor of v and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -c**2 + c**2 - 2*c**2 - 5*c**2 + 0*c**2 + 3*c**2 + 4*c**2 + c**2 - 6*c**2 + (-3 + 3 + 1)*(-c**2 + 2*c - 2*c) + 3*c**2 - 4*c**2 + 2*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 935, 4, -4, -3 in decreasing order.\nAnswer: 935, 4, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3\/1 - 5) + 10. Solve 4*w + 11 = -5*j, 3*w = l*w - 2*j + 22 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p**5 - 16*p**4 - 38352*p**3 + 575164*p**2 + 144098350*p - 144635148 = 0.\nAnswer: -126, -61, 1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 46 - 32. Let k be (2\/6)\/(v\/756). Let f be (-27)\/k*2\/(-9)*33. What is the greatest common divisor of f and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 4*r + 43 = 0, 0 = -2*c - 4*r + 7*r + 13. Calculate the smallest common multiple of c and 19.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.1*-23.\nAnswer: -94.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 27 + (-22 - -13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 39.6 - 40. Let f = -0.08 + -0.92. What is the closest to 2 in f, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.46 in 2\/3, 0.4, -2, 13, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 599 is divided by 581?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-117)\/(-99) - 8\/44. Calculate the common denominator of -103\/6 and (-9 - 550\/(-60))\/(q\/103).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/44)\/((-555)\/(-148)). Which is the closest to 0?  (a) -5  (b) n  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 377554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of -5 + 3*(-1422)\/(-27) + -2 and 43.\nAnswer: 6493","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -146692 by -182.\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i - i + 10*i)*(32 + 26 - 5 + (2 - 3 - 1)*(1 + 3 - 5) + 0 + 0 + 1) + i + 2*i - 2*i.\nAnswer: 449*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from jqflqqjqqlqvqqvqjqm.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54 divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4551, 5576, 6599, 7620, 8639?\n\"Answer: -y**2 + 1028*y + 3524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9550525 is divided by 2387630.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/16)\/v**(-4))**(6\/13)\/((v*v**(-4))\/v**7*((v\/v**(-2\/5)*v)\/v)\/v**(-5)) assuming v is positive.\nAnswer: v**(219\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22.5 - 1.5. Let t = -19 + f. Which is the closest to 0?  (a) -0.2  (b) -4  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 907 and 4535?\nAnswer: 4535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 3 = 0, -2*f - w = -4*w - 9. Let v be f + (-4)\/(-12)*0. Suppose v*g = 17 + 55. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/(-12))\/(651\/(-42))\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2)*(0*d + 2*d + 2*d) - 11*d + 10*d - 10*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 3*z - 15 + 191 = 0, -3*l + 132 = -4*z. Let a = -330 + 579. Calculate the remainder when a is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4226281 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -11*k**2 + 112*k - 19. Let z be w(10). Put -7, -5, z, -132 in ascending order.\nAnswer: -132, -7, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -754*m**2 + 6*m + 2. Let f be o(-2). Let y = f - -305629\/101. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*o + 5*j - 25, -o - 5*j + 10 = 0. Let f = -109\/4 - -27. Which is the nearest to f?  (a) -2  (b) o  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 301 + 1434132224?\nAnswer: 1434133030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 165 and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v**2 - 1. Let z(a) = -a**3 + 6*a**2 + 34. Determine 6*b(r) + z(r).\nAnswer: -r**3 - 6*r**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 29*h**3 + 51*h**3 - 53*h**3 + (2*h - 4*h + h)*(2*h - 2*h - 2*h**2) - 1 - 3*h**3 + 1 + (5 + 2*h - 5)*(-1 + 2*h**2 + 1) + 42*h - 42*h - 11*h**3.\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*f + 7. Let p(h) = h**3 + 5*h**2 + 3*h - 6. Let q be p(-3). Let -d**q - 2*d**5 + f*d**3 + 0*d**3 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 768 and 336.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 3)\/(-163*376\/(-2298300))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3125  (b) 7\/37  (c) -3  (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -214636 divided by -107318.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (25\/(-10))\/(50\/40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1964 - -2168.6. What is z rounded to 0 decimal places?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 550\/80 + -7 - 8\/(-64). Factor -2\/9*w + 1\/9*w**5 + 1\/3*w**4 + t + 1\/9*w**3 - 1\/3*w**2.\nAnswer: w*(w - 1)*(w + 1)**2*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 279\/10  (c) 1  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27\/232 or 1?\nAnswer: -27\/232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 4)*(0*g - 2*g + 4*g) - 40*g - 63*g - 34*g + (-5*g + 4*g + 0*g)*(3 + 1 - 2).\nAnswer: -137*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10372\/17 - 610. Let j = -1.6 - -1.7. Which is the closest to 2\/5?  (a) j  (b) p  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*p = 3*p + 15, 10 = 5*m - 2*p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -6899, -3, 10\/9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, -33, -59, -81, -99?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 5*o = 15. Suppose 0*s - s - o*x = 1, 2*s = -5*x - 1. Solve -m = s*m - 3, k - 3*m - 2 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 373750, 747495, 1121236, 1494973, 1868706?\n\"Answer: -2*r**2 + 373751*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8001)\/(-635) - 2\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -4*i**5\/7 - 100*i**4\/7 - 668*i**3\/7 - 1532*i**2\/7 - 960*i\/7 = 0.\nAnswer: -16, -5, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of -l**8\/672 - l**7\/21 + 3*l**6\/5 - 151*l**5\/60 + 257*l**4\/48 - 13*l**3\/2 - 420*l**2. Factor a(i).\nAnswer: -(i - 3)*(i - 1)**3*(i + 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 5, j: 1, s: 4, u: 1, i: 1}. What is prob of sequence isp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*w = -36*w - 150 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20 - -22. Suppose -g + p + 61 = 4*g, -5*p + 59 = 3*g. Let o = g + -7. Solve 3*d - 3*i = o*d, r*d + i = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -69*l - 6. Let v(m) = -274*m - 25. Let a(c) = -4*v(c) + 18*w(c). What is the units digit of a(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15 by -118.\nAnswer: -15\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (11 - 7) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 + 5*r + 10. Let t be k(5). Let v(g) = -t*g - 1 + g**2 + 5 + 2*g + 1. Give v(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -78  (b) -0.1  (c) 5  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11?  (a) -7  (b) 2  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 42 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 78*b + 7. Let y(f) = -39*f - 4. Calculate -4*i(c) - 7*y(c).\nAnswer: -39*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9.123 + -0.177. Let x = s + 1.3. Let v = x + 7.8. Which is greater: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -d - 0. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 2*q + 1238 = n, 0 = 5*n - q - 3075. Is 32 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36782 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the first derivative of y**2\/2 - 2*y + 1. Let t be c(5). Suppose 3*n - 53 = 4*m, 2 = t*m + 8. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = -2*b + 4. Suppose 0 = -j + 2*j - b. Suppose u - 18 = -2*i, 3*u + 4*i = -j*u + 84. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 14*g - 36 = 0. Let v be (-12)\/(g\/(-1) - 4). Solve -5*m - 5*d + 40 = 0, 2*m + d + v = 6*d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.31 or 7153\/5?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2\/3 - 34*z\/3 - 184.\nAnswer: (z - 46)*(z + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -108471.753 rounded to the nearest one thousand?\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**16*t*t*t)\/t**(4\/5))**(-31))**(-5\/3) assuming t is positive.\nAnswer: t**992","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-1*(0 + sqrt(300)) + (sqrt(300) - (sqrt(300) + 1 - sqrt(300))) + -4)**2 - (-1*(-4 + 2*sqrt(300) + 5))**2.\nAnswer: -1251 - 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -845 + 1631. Does 131 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1767772495 to the nearest integer?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*c**2 + 0 + 0*c - 3\/7*c**3 = 0. What is c?\nAnswer: -182, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61858.74 decades to months.\nAnswer: 7423048.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the first derivative of -t**3\/3 + 11*t**2\/2 - 5*t + 25. Calculate w(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3812364621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -17, -5, -2, 450?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-40 + 40)\/(-3 + 1). Suppose o = 12*t + 139 - 1435. Is t <= 109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2, 308.39, 0.18, 3?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 - 365*l**2 + 500*l - 85875. What is z(-367)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 13631 (base 7) in base 8?\nAnswer: 7242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*c + 384 = 31*c. Factor 6 + 2\/3*m**4 - 4\/3*m**2 - c*m + 8\/3*m**3.\nAnswer: 2*(m - 1)**2*(m + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 10*k - 95325 = 0, -5*s - 215*k + 95313 = -219*k. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 244141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*q + 424092 + 39407 = -237501. What is q rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(420\/231) + (-11)\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of -n**4\/24 + 9*n**2. Let r(g) = -21*g**2. Calculate k(r(z)).\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/2 - 0)*6. Let b(w) = w**3 + 5*w**2 - 7*w - 5. Let u be b(p). Is 4 a factor of ((-20)\/2)\/(u - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -3*o**3 - o**2 - o - 1. Let n be r(-1). Suppose n = b - 17. Let d = b + -10. Calculate the highest common factor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 81 - 31 - 29 - 25 + 104*k - 17*k to q*k + d and give q.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.3406535 to 3 dps.\nAnswer: -2.341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12 - 30103123?\nAnswer: -30103201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {a: 1, k: 7, z: 1, r: 2, l: 2, w: 1}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -89130 + 89322.845. Let f = o - 194. Round f to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + v = -2*v - 210 + 279, 4*l - 13*v + 298 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -u**3 - u**2 - 94*u + 7206.\nAnswer: -3*u**2 - 2*u - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -32, 3, -0.2, 309 in descending order.\nAnswer: 309, 3, 0.2, -0.2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1\/8  (b) -18  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3444 (base 7) in base 10?\nAnswer: -1257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 g when four letters picked without replacement from {g: 3, i: 3, o: 3, h: 4}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 12\/10*(18\/(-168))\/(102\/(-340))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -84 - -84.06. Let o = 0.2651 + -0.3651. Which is the smallest value?  (a) g  (b) -63  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3824*o**5 - 4465*o wrt o?\nAnswer: -76480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**2 + 2*b + 1. Let s be d(-4). Let u(k) = -2*k - 2*k - 4*k + s*k. Let z(q) be the first derivative of q**3\/3 + 1. Calculate u(z(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-125)\/20 - -7)\/(5\/20)*3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of 0*x**2 - 33*x + 0*x**3 - 1\/3*x**4 + 0. Let y(z) = -4*z**2 + z**2 + 2*z**2. What is y(f(n))?\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*q = 16*q + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -61821, -123640, -185459, -247278?\n\"Answer: -61819*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77742416 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**2 + 43*k + 574. What is g(52)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d**3 - 3*d**2 + 168*d + 491. Let j be a(-3). Solve h - j = -r - 15, -3*r - 2*h = 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + (sqrt(12) - (sqrt(48)\/sqrt(4) + 1 + sqrt(12))))*6)**2.\nAnswer: 864*sqrt(3) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -539, -1474, -2409, -3344, -4279?\nAnswer: -5214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 5\/7  (c) 1\/6  (d) -0.4  (e) -0.2  (f) 27\/8  (g) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 1093 = -x, -5*d + 3*x - 4*x = -1811. Suppose 15*t = 7*t + 1816. Let g = d - t. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vkaj when four letters picked without replacement from xjvaavgxvjjkvxv?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - 317?\nAnswer: -31c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (55\/20)\/((-2)\/(-264)). What is the units digit of (-4)\/40*-4 + s\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, b: 3}. Give prob of sequence bs.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 21080 and 3720?\nAnswer: 63240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(48) - sqrt(432))*-3 - (sqrt(363) - (sqrt(363) - -1*(sqrt(363) + 2*sqrt(363)))))**2.\nAnswer: 9747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3 - 1)*(-3)\/(-2). Let m be (-2)\/(-1) - (j + -1). Let n = 22 + -26. Put -3, m, n in decreasing order.\nAnswer: m, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 185 = 5*p, -3*c = -p - 8*c + 11. Suppose -34*r - 638 = -p*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*s - 4*s = -3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of 2*b**5\/35 + b**4\/7 - 2*b**3\/21 - 2*b**2\/7 + 14. Solve n(o) = 0 for o.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n, 1 v, and 1 y when four letters picked without replacement from nynnnnfnvtd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -n**2 - n**4 - 42642*n**3 - 7*n + 42649*n**3 + 2*n**4 = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 374 (base 12) to base 8.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhi when three letters picked without replacement from {h: 3, i: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 2 + 1 + 4*(sqrt(468) + -1*sqrt(468)) + (sqrt(468) + -1)*5 + 4.\nAnswer: -1 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -708 + 2128\/3. Let d(x) = 2*x + 11. Let z be d(-8). What is the third biggest value in m, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -24 and -909457.\nAnswer: -909481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3477.190779 - 0.\nAnswer: -3477.190779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = 3*c + 2*n - 92, -c - 5*n + 12 = 0. Suppose 4*k + 3*h - c = 0, -3*k + 7 = -h + 3. What is the tens digit of k\/5 + 154\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 193\/3060 and 97\/1796985.\nAnswer: 7187940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -23*p**2 - 2*p - 658 wrt p.\nAnswer: -46*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 7*t**3 - t**2 + 1. Let o be b(-1). Which is smaller: -8 or o?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/6*3*4339. Let k = n + -2871. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, -6\/11, 16, -6\/5 in decreasing order.\nAnswer: 16, 1, -6\/11, -6\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -286 - 1?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c - c - 2*c + (25 + 15 - 31)*(0*c + 0*c + c) - c + c + c)*(44*c - 17*c - 13*c)*(2 - 2 - 2*c**2).\nAnswer: -168*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -9*(-10)\/15 + -2. Let a(o) = -12 + k*o + 19 - 3*o. What is a(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -888264, -1776507, -2664750, -3552993, -4441236, -5329479?\nAnswer: -6217722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, s: 2, r: 1}. What is prob of sequence tr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -18 + 26?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 73462*l - 3411. Is h(35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (((-9)\/(-3))\/(-9))\/2. Which is the nearest to 0.1?  (a) q  (b) -4  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 67, 41392, -4 in increasing order.\nAnswer: -4, 67, 41392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1, 2, -12 in descending order.\nAnswer: 2, -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -54039 - -54038.999966717. What is i rounded to six dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 89*q**3 - 51*q**3 - 49*q**3 + (-5*q - 2*q + 5*q)*(0*q**2 + 4*q**2 - 2*q**2) + 0*q**3 - 3*q**3 + 2*q**3 - 2*q**3 + q**3 + 2*q**3 + 5*q**2 - 5*q**2 + q**3.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -2*n - 1239 - 10669, -11899 = -k + 5*n. Suppose -8*u - k = 4934. Does 13 divide (2\/(-4))\/(27\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -43*i - 22. What is the units digit of f(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes after 11:42 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(300) - sqrt(12))*1*-6)\/((sqrt(256) - -2*sqrt(256))*4).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -13*n - 6. Let b be v(-2). Suppose -3*o = -5*h - 5*o + 35, -3*h - o = -b. Suppose x + h*g = 39, -2*x + 4*x - 23 = g. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3532 by 3.\nAnswer: 3532\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 54000, 54337, 54898, 55683, 56692, 57925, 59382?\nAnswer: 61063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*u - 18 = 3*u. Let t = 18 - 13. Let q(o) = 2*o**2 - 10*o + 18. Let s be q(t). What is the highest common factor of s and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g + 2*m = 6*g + 114, 5*g = m + 537. Calculate the smallest common multiple of g and 6.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 8:26 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of -13*c**2 + 17\/120*c**6 + 0*c**4 + 0 + 0*c**3 + 0*c + 2\/15*c**5. Find the third derivative of j(m) wrt m.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*z**4 - 9*z**4 - 3*z**4)*((1 + 1 - 6)*(2 + 2 + 1) - 1 + 0 - 1) as a*z**4 + l + s*z**2 + k*z + v*z**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44\/33*(-174)\/(-4) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 AM and 5:51 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*g = 5*g + 138. Does 7 divide g\/51 - 1\/(85\/(-14270))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1614, -6453, -14504, -25755, -40194, -57809, -78588, -102519?\nAnswer: -129590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, -4145 in descending order.\nAnswer: 1, 0, -4145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*f + u, -14*f - 4*u - 19 = -13*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 42 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -381.14 and -321.\nAnswer: 122345.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of i**4*q + 410*i**2*q - i*q - 16594*q wrt i?\nAnswer: 4*i**3*q + 820*i*q - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2036.6 + -753.\nAnswer: 1283.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 10*p - 10. Suppose -4*f = 2*c - 2, -256 = -3*c + 4*f - 223. Calculate n(c).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-10)\/(-360)*644\/(-266) and 88\/15.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 l when three letters picked without replacement from nllk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (34\/(-85))\/((-2)\/35). Is 994 - (-3 + v\/1 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -7*y + 23. Let v be p(3). Suppose 8 + 26 = v*s - 2*l, -3*s = 2*l - 26. Let a be -2 + (-81)\/s - 4. Is -14 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 8, q: 2, i: 3, p: 2, g: 4, h: 1}. What is prob of picking 2 g and 1 q?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4 from -1.7643923.\nAnswer: -5.7643923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 33*m + 32 - 98. Suppose 2*s - b - m = 14, -4*s + 3*b = -34. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4818 and 239428101.\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -188*b**2 - 25*b**3 + 0 + 29*b**3 + 0.\nAnswer: 4*b**3 - 188*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 113 + 2352. Let r = 1715 - d. Round r to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - 7)*(-7 + 8). Let l(f) = f**3 + 7*f**2 + 5*f - 5. Calculate the remainder when 0 - (-1)\/(2\/2) is divided by l(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78 is divided by 26.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1.7, -2 in descending order.\nAnswer: 3, -1.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.11 - -0.01. What is the nearest to o in 1\/3, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -699 + 705 = -2*h - 0*h, 3*h = -3*n - 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 + 4*j - 18. Let c be m(3). Let o(a) = 2*a**2 - 2*a + 1. Let h(i) = 143*i**2 - 6*i - 301. Let w(d) = c*o(d) - h(d). Differentiate w(u) wrt u.\nAnswer: -274*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7981565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34579, 34633, 34661, 34657, 34615?\nAnswer: 34529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uqut. What is prob of sequence uqu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/18*6*1356\/8. Let l = x + -122. Suppose -3*z = -37 - 2. Calculate the greatest common factor of l and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(325) - (sqrt(325) + 1 + sqrt(325) + 0)) + sqrt(325) + -2*(0 + sqrt(325)) + sqrt(325) - -4*(2 + -2*sqrt(325)))*3)**2.\nAnswer: -5670*sqrt(13) + 237366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -52\/6843 and -23\/24?\nAnswer: 54744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 - 4b?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -k - 1050*k**2 - 1251*k**2 - 570*k**2 + k as a*k**2 + v + z*k and give a.\nAnswer: -2871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0190434 rounded to 5 decimal places?\nAnswer: -0.01904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 17\/6 of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7 - 9 - 13)*(-4*g + 6*g - 3*g) + 2*g + 3 - 3 in the form p + k*g and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -10\/7, 6, 2\/7, -2\/7873?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -122 + 117.2. Let i = f - -6.8. What is the third biggest value in 0.01, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1469.\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-6*-2*sqrt(119) + sqrt(119) + sqrt(119)*-2*-2 + sqrt(119) + sqrt(119))\/((sqrt(280)\/sqrt(5)*6)\/sqrt(8))*5.\nAnswer: 3 + 95*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4328, -8656, -12962, -17234, -21460, -25628, -29726?\n\"Answer: 2*u**3 - u**2 - 4339*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -9, -18, -33, -54, -81, -114, -153?\n\"Answer: -3*v**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 12. Let o = 86\/33 - 73\/66. Sort o, 0, m, 0.1 in decreasing order.\nAnswer: m, o, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -476, -1, -229?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Is 9941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -134, -240, -342, -440, -534, -624, -710?\n\"Answer: 2*x**2 - 112*x - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 + 5. Let o be z(2). Let c be (-6 - (-4 - -1))\/((-2)\/48). What is the greatest common divisor of o and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 6*c - 32. Let n be j(13). Suppose -4*d + n = 3*i, -5*i = -d - 26 - 43. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -10  (b) 31  (c) -2  (d) -4  (e) -0.33  (f) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000592923 rounded to five dps?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 + 2*l**2 - 2*l - 2. Let p be h(-3). Let o = -4 + 2. Let s = o - p. Solve 1 = -n + s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 9*s + 538 = -119, -3*x = -2*s - 418. What is the greatest common factor of x and 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -781 + 779. Is m > -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-81)\/(-15) + -2 + (-40)\/(-25). Solve -4*m = -f*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(3\/7))\/((((u*u*u*u**(-1\/11))\/u)\/u)\/u)*(u**(1\/17)\/u*u)\/u**(-1\/10) assuming u is positive.\nAnswer: u**(21969\/13090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 7, j: 6, t: 2}. What is prob of sequence tmmm?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13 - -22. Let u = -3 + 7. Suppose 3*r - 4*w - 33 = 0, -w - 44 = -u*r + 2*w. Solve -5*o + r = -p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -36*p**3 + 621390*p**2 + 25281023*p\/4 + 64265391\/4 = 0.\nAnswer: -61\/12, 17271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes before 9:27 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 2\/7, 0.3, -0.12 in decreasing order.\nAnswer: 0.3, 2\/7, -0.12, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4251481.\nAnswer: 13, 23, 59, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -175, 6, 179, 338, 477, 590?\n\"Answer: -y**3 + 2*y**2 + 182*y - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -362 < -40576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1547?  (a) 2\/7  (b) -15\/13  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 79865\/12794 - 219676286\/49301679. Let a = k + -1\/1101. Find the common denominator of 103\/6 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*z + 70 = 716 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*z = 4*u - 16*z - 8, -4*z = 0. Calculate the greatest common factor of 62 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from rrrrrrrrrrhhrrrrhhh.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or -267614?\nAnswer: -267614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000099411 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c + 509 - 446 = 0. Calculate the smallest common multiple of (-138)\/c + 4*(-5)\/(-70) and 3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-299)\/23*(-1 + 0). Let u = -20 - -101. Suppose 4*n - 3*t = 2*n + u, -3*n = t - 116. What is the greatest common factor of n and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 382 = -3*p + 62, 0 = p + 4*m - 145. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 + -14. Sort q, 5, 1 in increasing order.\nAnswer: q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7477156 and 188545?\nAnswer: 261700460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*m = 6*m + 11*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1530 divided by -3?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/36*183*254\/393. Let g = 2\/131 - h. What is the common denominator of -1\/3 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 72.33 and 39.\nAnswer: 2820.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 75 and 30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from dbrburryurourub?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f**3 + 5*f**2 - 2*f + 3. Let u(h) = h**2 - 8*h - 7. Let p be u(9). Let s be m(p). Solve v = -2*i + s, 4*i - 4*v + 32 = 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/13, 0.6, 0.2, -0.1, -4422, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 2*u**2 + 6*u - 6. Let m be k(-5). Let a = m - 5. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*k + 5*k + 10*k + 3*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6042 + 11483. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/889, -38, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.688 + -0.012. Let y = 0.7 + o. Which is the nearest to 0.1?  (a) y  (b) 1\/2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 29*q + 4. Does 26 divide l(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gccccccgcgcc. Give prob of sequence ccg.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 74\/49131 and -41\/105.\nAnswer: 1719585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of 0 + 4\/3*v**3 + 4\/21*v**7 + 0*v**2 - 17*v + 0*v**5 + 0*v**6 + 0*v**4. Find the second derivative of y(s) wrt s.\nAnswer: 160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 5*k - 43, 0*u - u + 7 = 4*k. Suppose -27 = 5*f + u. Is 24 a factor of 1120\/18 - f\/(-45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vbgvvyvt. What is prob of picking 1 g and 1 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*w - 297 + 297. Suppose w = 29*c + 102 - 73. Put c, -4, -0.063 in descending order.\nAnswer: -0.063, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -504 + 353. Let n = t + 52. Let r = n - -98.999953. What is r rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 + 3\/(-9)*-3. Let i be -6*(-27)\/(-294) - f. Let n = -4321\/784 + i. Calculate the common denominator of n and -83\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7056121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 - -2)\/(0 + 1). Let k = -20 - q. Is 0 - (-1 + 2) - k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**2 + 14076*o + 42264.\nAnswer: -4*(o - 3522)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 122445.1ml?\nAnswer: 122.4451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -23 - -5. Let r be c\/(-24) + (-2)\/(-8). Solve n - r = -4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11169999457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -203363836 by -2.\nAnswer: 101681918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 2 x when four letters picked without replacement from {p: 4, x: 3, s: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/3))**42)**46 assuming s is positive.\nAnswer: s**(-644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*y - 1\/5*y**2 + 0 - 1\/5*y**3 + 1\/5*y**5 + 1\/5*y**4.\nAnswer: y**2*(y - 1)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -13, 20\/99, 0.5, -0.42?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 6:59 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 560537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -8 + 5 + -4*(-132 + -1). Suppose 17*s - r = 933. What are the prime factors of s?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 155\/12246528 and 155\/3107328.\nAnswer: 208190976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 190 times -0.2?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 196024 is divided by 8910.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(40)\/sqrt(72) + -3 - (2*sqrt(80) + 0).\nAnswer: -23*sqrt(5)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + 1 + 0\/(-5 - -1). Suppose 0*x - 529 = -x + j*d, -5*x + 4*d = -2634. What are the prime factors of x?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 521 - 377. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 3) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -14*d - 109. What is k(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 + 13*c**2 - 16*c - 34. Calculate w(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -7*a + 3. Let f = -15234 - -15239. Let k(i) = 8*i - 3. What is f*k(u) + 6*v(u)?\nAnswer: -2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n + 51 + 22. Let z be (n\/146)\/(-1 - 31\/(-32)). Suppose -l + 6 = -z. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of 9*r**3 - 13*r**2\/2 - 26. Find the second derivative of u(v) wrt v.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -305087\/35 - -8717. Let m(d) be the second derivative of 0 + 9*d - l*d**5 + 0*d**2 + 4\/21*d**3 + 1\/21*d**4 + 2\/21*d**6. Factor m(k).\nAnswer: 4*k*(k - 1)**2*(5*k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8310 and 13?\nAnswer: 108030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -4 times 263\nAnswer: -1052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) -1098457  (b) -0.4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 40 and 105276000.\nAnswer: 105276000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the third derivative of 0*r + 1\/120*r**6 + 0*r**4 + 0 - 11\/2*r**3 - 1\/15*r**5 + 165*r**2. Find the first derivative of i(z) wrt z.\nAnswer: 3*z**2 - 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vzqtqultvzvzqztlq. Give prob of sequence qu.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 66\/23, 3\/7, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*d = -10*d - 13*d + 130 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3599*q**2 + 292 - 292 - 105035*q + 105035*q.\nAnswer: 3599*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.16?  (a) -17  (b) -5  (c) 4\/5  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19 - -29. Let h = x - -3. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*x**5 - 4*x**5 + 7 - 4 + (x**3 + 0 + 0)*(4*x**2 - 6*x**2 + 4*x**2) + 2*x**5 + 3*x**5 - 3*x**5 - 5*x**5 + x**4 - x**4.\nAnswer: -3*x**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 2*w. Let x(k) = 68804*k - 1239. Calculate x(m(l)).\nAnswer: 137608*l - 1239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -7, -0.008, -32, -3, 0, 1\/16?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of x**4\/12 + x**3 + x**2\/2 + 1464*x. Let v(q) = q - 1. Calculate c(g) - 6*v(g).\nAnswer: g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 1:48 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (89300\/(-26790))\/(4\/(-42)*(-11)\/2)?\nAnswer: -70\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -35 - -44. Let n(u) = -5*u**2 + t*u - 15*u + 6*u. Let b(i) = 9*i + 4. Let v(f) = -125*f - 55. Let l(s) = -55*b(s) - 4*v(s). Calculate l(n(x)).\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1100932252 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 - 10*o - 7. Give w(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -100 (base 8) to base 4\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 156490687.\nAnswer: 156490687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 51\/(-68)*16\/(-6). Let o(w) be the second derivative of -1\/3*w**3 + 0 + 0*w**4 + p*w - 1\/20*w**5 + 0*w**2. Find the second derivative of o(r) wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-8))\/((-15588)\/(-33774))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -201 + 248. What is the remainder when c is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 41563 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 532*r - 539. Determine k(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-56)\/7)\/16*12 + 3*62. Solve 179*t - l*t = 6 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -q - 4*t, 0 = 3*q - 4*q + 2*t - 8. Suppose -k = 3*k - 8. Suppose -3*o + 17 = 2*c, -k*c = 2*c - 16. Solve q*n = o*n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1851014 divided by 2?\nAnswer: 925507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9965, -19938, -29911?\nAnswer: -39884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -6*s - 1 - 2*s - 7*s. Let y be q(-3). Suppose -3*p = p - y. Solve 0 = -o + 2*n + n - p, o + 7 = 2*n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 709.44 times 1?\nAnswer: 709.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14 - 70. Suppose -2*l - 7 = -5*s + 31, -3*s - 36 = 3*l. What is the tens digit of l\/a + 638\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.02 - 0.02. Let o = 17\/4 + -9\/2. Which is the third smallest value?  (a) s  (b) 1  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -7*l + 5*l**2 + 52 + 8*l + 17*l - 3*l**2. List the prime factors of o(-9).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 - 3*u - 1. Let s be r(0). What is the closest to 1\/3 in -3\/7, s, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/2, 0.28, 1\/3, -4 in descending order.\nAnswer: 5\/2, 1\/3, 0.28, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4044 and 19240341.\nAnswer: 76961364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express r**2 - r**2 - 6*r**2 in the form d + v*r**2 + o*r and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + 2 - (-1 + 1 - 1839). Suppose j = 6*x + 321. Calculate the greatest common divisor of x and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -3*k + 5*k - 8, 0 = -5*s + 5*k + 30. Solve -3*f - 6 = -3*a + 6, s = -f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1)\/o)**19)**(29\/2)\/(((o*o*o*o**(1\/4))\/o*o*o)**42)**26 assuming o is positive.\nAnswer: o**(-5192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2667, 2658, 2651, 2646?\nAnswer: 2643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from immi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 310101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 788346 is divided by 520.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 1. Suppose -d = -2*i + 3*i. Let f be 22\/24 - 1\/4. Which is the nearest to 1?  (a) 4\/5  (b) i  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-a + a + 2*a)*(3 - 4 + 2) + 4*a - 5*a - 2*a + a - a - 3*a + (-15*a + 5*a - 7*a)*(-3 - 1 + 3))*(0 - 2*a**4 + 0 + (0 + 0 + 2)*(0*a**4 + a**4 + 4*a**4)).\nAnswer: 104*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4454.\nAnswer: 2, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.076  (b) 0.4  (c) -5  (d) -4  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.4 + 3.4. Which is bigger: 8 or c?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1619 or -0.047879?\nAnswer: -0.047879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-1\/5)*i*i)\/(i**(-10)*i))\/(i*i\/i**(-6)*i\/(i*i**9\/i)) assuming i is positive.\nAnswer: i**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8\/365 + -11251\/2920. Let y(d) = 17*d + 2 - 4 + 3. Find the common denominator of m and y(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 0  (b) 1  (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (0 - 4) + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 101 and 250958033.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f = -y + 3 + 15, -2*y + 5*f - 29 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91043 is divided by 5056.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14989, -59687, -134129, -238321, -372269?\nAnswer: -535979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (384\/(-1440)*(-27)\/9)\/((-76)\/10).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7852 + 36. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000015918 rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((3629\/(-228))\/(-191))\/(5\/15 + 62\/(-24)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7506072 and 708120?\nAnswer: 37530360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.229 - 26.071. Let r = 26 + i. Which is the second biggest value?  (a) 6  (b) r  (c) 4  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 0.4. Let n be (-58)\/(-24) - 3 - (-4)\/16. What is the second smallest value in 1\/24, n, s?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 690*z + 67. Let v(c) = 690*c + 88. Determine -4*s(a) + 3*v(a).\nAnswer: -690*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -186*a. Let t(w) = -17*w**2 - 21*w**2 - 14*w**2 + 51*w**2. Give b(t(m)).\nAnswer: 186*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 h when two letters picked without replacement from {j: 8, h: 2, d: 2, c: 1, r: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 289858462?\nAnswer: 2, 144929231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + -9. Suppose -b*h + 7*h + 15 = 0. Put -5, -1, h in ascending order.\nAnswer: -5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -154 + 242?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 260 and 17158180?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 - 4*r**2 - 2*r - 3. Let h be 3*(2 + (-64)\/24). Let s be (-1 - 25\/15)*3\/h. What is l(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6570*w*y**3 + 10*w*y**2 - 458*w wrt y.\nAnswer: -39420*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 233549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (241 - 29*o + 12*o + 8*o + 20*o)*(-2*o + 3*o + o).\nAnswer: 22*o**2 + 482*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the second derivative of -1\/20*x**5 - 1\/30*x**6 + 0 + 0*x**2 - 1\/168*x**7 + 0*x**3 - 18*x + 0*x**4. Determine g so that h(g) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9\/1 - (21 - (-2015)\/(-169))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 42\/23, 2, -1628?\nAnswer: 42\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-19)\/(-665)*14)\/((-22)\/385)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 25  (b) 5  (c) 71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18 + -5. Suppose 0 = -8*p + m*p - 25. Suppose -3*i + 248 = -t + 2*t, p*i - 414 = -t. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(46*(-3)\/1104).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 24465 - 24457. Solve 285 = -i*x + 253 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 37\/6, 5, -11\/10, -109, 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 19 + 5 = -5*d, -2 = b - 2*d. Suppose -z + 3 = -b*x + 4, -5*z - 5 = 0. Solve 0 = y - 2 - x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 266381, 532764, 799147, 1065530, 1331913?\nAnswer: 1598296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 + 37. Suppose 0 = -4*k - 2*w + p, 6*k - 3*k - 32 = -2*w. Let r = 44 - k. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 21187323 or 84749297\/4?\nAnswer: 84749297\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-40 - 33 - 35 + 0)*(o**3 + o**3 - o**3) as n*o + y*o**2 + g + k*o**3 and give k.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14) - sqrt(42)\/(sqrt(3)*2))\/sqrt(7).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 6*r = 25. Let l(a) = -5*a**3 - 2*a**2 - 3*a + 3. Let x(h) = 9*h**3 + 5*h**2 + 7*h - 7. Let j(p) = r*l(p) - 2*x(p). Determine j(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 + -8 - 13) + 0 - (121 + -10 - 4)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 537 - 2709\/5. What is the common denominator of p and (-7)\/280*-8*(-1045)\/1122?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 10, -3*h - 3*l + 455 = l. Is h != 149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -359\/324 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1191 (base 14) in base 5?\nAnswer: 44232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes before 5:12 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-j + 2 - 2)*(146 + 451 + 142 - 127 - 229) to x + k*j and give k.\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000064421 to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -2*sqrt(2299)*-1 + -5)*-4)**2.\nAnswer: -704*sqrt(19) + 147152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -72\/467 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m + 3. Let y be (-8)\/(-6)*-1*3. Let f(n) = n**2 + 5*n - 1. Let c be f(y). What are the prime factors of h(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 5)*(2*u - 2*u + 2*u**4) + (2 - 16*u - 29*u + 34*u)*(-6*u**3 + 7*u**3 + 3*u**3).\nAnswer: -46*u**4 + 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 - 7. Let s = -6 - -6. Let f be (-1 - s) + 17 + -8. Solve b = -r + 3 - f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 14*c**2 + 6*c + 3. Let o(r) be the third derivative of -1\/6*r**3 - 1\/12*r**5 + 0*r + 0 - 1\/12*r**4 - 15*r**2. Calculate 11*o(t) + 4*p(t).\nAnswer: t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -48, -103, -172, -261, -376, -523, -708?\n\"Answer: -a**3 - a**2 - 45*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 - 2*x)*(-3 + 2 + 3)*((-1 - 7 + 4)*(5 + 7 - 1) + (2 - 4 + 3)*(-2 + 2 + 1) - 5 + 1 + 0) to m + l*x and give l.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -128, -121, -94, -41, 44, 167?\n\"Answer: r**3 + 4*r**2 - 12*r - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 102972\/13 - 7922. What is the nearest to 1 in 0.2, j, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/15, -0.4, 0.3, 28064, 0.4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -37 - -361?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (10 + (-190)\/20)*0. Let m(x) be the second derivative of 0*x**2 + 3*x + 3\/10*x**5 + 0*x**3 + k + 1\/10*x**6 + 1\/4*x**4. Factor m(p).\nAnswer: 3*p**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 15*i**2 - 6*i - 3. What is the units digit of a(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 5*t = 633, 30*h - 5*t = 35*h - 1605. Calculate the highest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 328804279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 - (2 + -1) - 2. Let p(g) = -3 + g**2 - 5*g + 2 + 4*g. Let r(k) = -9*k**2 + 3*k + 3. Let n(w) = -4*p(w) - r(w). Give n(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 579132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-13) + (-55)\/(-65). Let c be (m - -1 - -1)\/1. What is the greatest common divisor of c and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 400240.\nAnswer: 2, 5, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 268939981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4185\/(-1240))\/(((-24)\/(-64))\/((-1)\/2))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 923 + -382. List the prime factors of g.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -2  (b) 0.5  (c) -1\/2  (d) -13  (e) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1  (b) 136  (c) 1153  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32\/(-80) + 3492\/5 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*w - 51 + 4*w - 55 - 55 + 161.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -4 + 7. Suppose -4 = -r - t. Solve r*o + 16 = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3*w**2 - 6 - 10)*((7*w**2 - 8*w**2 - 7*w**2)*(-2 + 4 + 1) + w**2 + w**2 - w**2).\nAnswer: 69*w**4 + 276*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 15\/7, 4\/7, -1\/3, 3294 in descending order.\nAnswer: 3294, 3, 15\/7, 4\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000111 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -3*a - 1. Let f be p(-1). Let k(l) = 10*l - 3. Let t be k(f). Let i = t + -8. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 (base 15) in base 3?\nAnswer: 10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - x - 3. Let w = -2 - x. Suppose p - 5*r = 0, 4*p + r = 3*r. Which is the third biggest value?  (a) p  (b) w  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1239883*w**2 + 10455730*w wrt w.\nAnswer: -2479766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 13133447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - -28. Calculate the remainder when c is divided by ((-6)\/(-2))\/(-24) - 82\/(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000796175 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*g + 51*g + 11178 = 449*g for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 86805 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, o: 1, v: 2, l: 3, s: 6}. What is prob of sequence svs?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11851947 is divided by 653?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -21*t**3 - 2*t**3 + 11 + 11*t**3 wrt t?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -140*s**2 + 11056*s + 351. Determine b(79).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, a: 1, l: 1, j: 4, s: 2}. Give prob of picking 1 l and 2 j.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 42118 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 10:48 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -1716076?\nAnswer: 3\/1716076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 128 + 5*z**2 - 257 + 129 - 7*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*b - 24 + 76 = 0. Suppose -o - 3*f - 13 + b = 0, -3*f = 9. Solve o = -2*h - 4 - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 143082756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**3 + 382*w**2 + 2240*w - 6016.\nAnswer: (w - 2)*(w + 8)*(w + 376)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 0 - 2)*(-4 - 3 + 0)*(-1 + 2*r + 1)*(3*r - 12*r - r) in the form i*r**2 + k*r + m and give i.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9 + (0\/2 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, r: 5, k: 3, j: 3}. Give prob of sequence kk.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1746 divided by -6.\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 42, 66, 86, 102, 114?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -97?  (a) 18  (b) 0.13  (c) 2  (d) -0.2  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -90*j + 316. What is the tens digit of x(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5.7 in -1\/6, -4, 1, 7, 18?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -5, -22, -47, -80?\n\"Answer: -4*x**2 - 5*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(52\/(-65)))\/(0 - 4\/20).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 609*v**3 + 3*v**2 - 6*v + 7. Let g be a(3). Let i(t) = -g*t + 122*t**2 - 22*t**2 + 16459*t. Let w(p) = -2*p. Determine i(w(d)).\nAnswer: 400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 487938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 43 in 0.1, 4, -0.4, -2\/11, 0.04?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5874 = -13*l - 1116. Is 24 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 321 = 7*x + 20. Suppose 15*q - x = 17. Let w = -0.1 - -1.1. What is the smallest value in w, 2, q, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 25 = x, -8*x - 1 = m - 3*x. Let z be ((-12)\/8)\/(m\/16). Suppose z*k = 17 + 87. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the second derivative of -9*u**5\/4 - 9*u**4\/4 + u - 43. What is the third derivative of h(d) wrt d?\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 266472, 266465, 266472, 266499, 266552, 266637?\n\"Answer: p**3 + p**2 - 17*p + 266487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 2*m - 20. Let l = m - 4. Suppose 5 = z - l. Solve -o + 2*y - 3 = 0, 8 = z*o + 5*y - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81389 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 15 - 16*h**2 - 5 - 10. Let b(y) = 2*y**2. Determine b(d(w)).\nAnswer: 512*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x = -4*y + 4*x - 7*x - 23, -4*y - 2*x = 64*x - 714 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 43051 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*h + 27 + 3. Let i be -3 - (3 - (h + 23)). Solve 6*c - c - i = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*o - 12 = 24*o. Let k(d) = -26*d**3 + d**2 - d - 1. Let g be k(-1). Is ((-4)\/6)\/(o\/g) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (3 - (4 - 2))\/(7\/343) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1915, -2 in descending order.\nAnswer: -2, -5, -1915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*d**4*k + 34*d**2*k - d*s + 52*k*s - 2*s with respect to d.\nAnswer: 8*d**3*k + 68*d*k - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**2 + n. Let w(u) = 6*u**2 - u + 2. Let y(t) = 17*t**2 - 2*t + 6. Let i(p) = 7*w(p) - 2*y(p). Calculate i(z) + 3*j(z).\nAnswer: 5*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 166 divide 45154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/15 - (-180)\/(-475). Is v at least as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**3 - 90605*r**2 - 410599175*r - 1230982215.\nAnswer: -5*(r + 3)*(r + 9059)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*0.27689.\nAnswer: 0.138445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 PM and 5:07 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve o = -7*w + 3*w + 1, w = o - 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11 and 2921?\nAnswer: 32131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -46 + 41. Let i be (-2)\/5 - (-12)\/(-20). What is the third biggest value in i, 1\/6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from uppih?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t - 10. Let u be g(0). Let w = 63 - 34. Let b = u + w. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 38*t - 167. Let z be w(5). Which is the closest to z?  (a) 0.3  (b) 1  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 4605 = -2*t, -3*t + 6870 = -20*k + 15*k. Does 76 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**2*c**(-8)*((c**(3\/7)*c)\/c)\/c**(2\/31) assuming c is positive.\nAnswer: c**(-1223\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.01 - 6.01. What is the closest to -1\/4 in 3\/7, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -31, -152, -353, -634, -995, -1436?\n\"Answer: -40*u**2 - u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -7440.8 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 14 + 6*j + j**2 - 9*j - 12 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 88\/(-28)*((-294)\/(-28) + -14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*v**5 + 15*v**4 - 30*v**3 - 40*v**2 = 0. What is v?\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 5*h = 7*h + 5, 4*h + 7 = -3*m. Suppose 0 = m*f + 4*d - 77, 68 = 3*f + 5*d - 14. Solve 0 = 4*u + 4*p - 24, u - 4*p = -0*u - f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10430 (base 5) to base 15.\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kwqwkbhwwqwwwk. What is prob of picking 1 w and 1 k?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 7*g. Let u = 532 - 528. Suppose -q = o - u*o - 2, -5*q - 6 = o. Give m(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, n: 2, m: 3}. Give prob of picking 3 p.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/5, -3, -0.3, 3521?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 10*l**3 - l**2 + 4. Let a(q) = -2*q**3 - 1. Let w(v) = -11*a(v) - 2*r(v). Give w(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j**3 - 2*j**2 + 2*j**2)*(-5 - 4 - 10)*(-5 + 0 + 2)*(-4 + 3 + 0)*(3 - 3 - 3*j).\nAnswer: -342*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.4 > 1235\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2262 or -42975\/19?\nAnswer: -2262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-2*sqrt(125)*5*-3 + -2*(sqrt(125)*1 - sqrt(125))*5 + 0)**2.\nAnswer: -450000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 342673846 to the power of 1\/3, to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/4)\/(585\/(-48) + 12). What is the greatest common divisor of f and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 720.1377 micrograms in tonnes?\nAnswer: 0.0000000007201377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 23221117 (base 8) to base 13\nAnswer: 107cb75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2872, 2850, 2820, 2788, 2760?\n\"Answer: o**3 - 10*o**2 + o + 2880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2.81, 0, -9.4, -2, -9 in descending order.\nAnswer: 0, -2, -2.81, -9, -9.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 46 - 28. Let u be ((2\/3)\/2)\/(3\/x). Let m(z) = -13*z**u + 33*z - 19*z - 14*z. Let w(l) = -3*l. Give m(w(y)).\nAnswer: -117*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*6*(sqrt(204) - sqrt(51))*1)\/((1*sqrt(192))\/(sqrt(196) + sqrt(196) + sqrt(196)*-1 - sqrt(196) - sqrt(4))).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1132286 (base 9) to base 16.\nAnswer: -9561f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8174?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 3 = -15. Let y be (6\/(-9))\/(r\/(-360)). Let m = -17 + y. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 2*o + o = 15, 3*y - 15 = -3*o. Suppose -w - 12 = -y*v - v, 0 = -3*w + 6. Let j = v - 5. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 7:23 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 5 = -3. Suppose h*z + 440 = 6*z. Does 14 divide z\/2 - (-3 + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the first derivative of h**5\/180 + 3*h**2\/2 - 2. Let a(n) be the second derivative of d(n). Find r, given that a(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from {z: 3, k: 1, a: 2, g: 1, i: 2, b: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 3*d**2)*(2*d + 3*d - 3*d)*(-4*d**2 + 3*d**2 + 3*d**2).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -23311045 (base 6) in base 7?\nAnswer: -6105566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/((10\/9)\/(-5)). Suppose 3*d - 2*s - s = -9, 2*d - l = -s. Determine x, given that -7*x**4 + 11*x + d*x**3 - 3*x + 14*x**3 + 20*x**2 + 11*x**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-2\/27)\/p**(2\/5)*(p**0)**(1\/12) assuming p is positive.\nAnswer: p**(-64\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8065?\nAnswer: 5, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*j = 1636 + 9056. Let v = j - 401. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -343, -486, -649, -832, -1035?\n\"Answer: -10*r**2 - 113*r - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 52*f**3 - 2*f**2 + 3*f - 2. Let c be a(1). Suppose 5*i - 64 = c. What is the highest common factor of i and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 60 and 97035?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -27*a + 2447. Let l be h(91). Let g(o) = -o**3 - 10*o**2 + 10*o + 101. What is g(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-45)\/(-21) - 0\/(-2)) + -2\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 156*b - 1. Let l = -4227 - -4228. Calculate the least common multiple of l and p(1).\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 2*b**3 + 71*b**2 + 107*b + 174. Determine a(-34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6058488 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s = 744*j - 742*j - 54, -4*j + 216 = -12*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9064.55556 + 8864.5555866. Let f = 919 - 719. Let a = f + q. What is a rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the third derivative of -q**6\/60 - q**5\/6 - q**4\/6 + 8*q**3\/3 - 373*q**2. Determine w so that p(w) = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 - 2. Suppose 4*y = h + 23, -2*h - 11 = -l*h - y. Let c be ((-2)\/(-6))\/((-1)\/h). Solve c = s - 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1307 + -5?\nAnswer: -130c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j + 4*f - 40, 2*j + 0*j + 3*f = 16. Let l = -24149\/7 - -3457. What is the common denominator of l and ((-63)\/j)\/((-3)\/(-6))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 20 = -4*q, 0*p = 2*p - 4*q - 20. Suppose 12*h - 3073 - 443 = p. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -292 and -1\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 3*a - 100 = -2*d, 3*a - 2 = -d. Let r be 1 + (-16)\/18 - (-916)\/18. Calculate the greatest common divisor of d and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qkq when three letters picked without replacement from {z: 1, j: 4, k: 1, q: 3, l: 8}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1bb0 (base 16) in base 5?\nAnswer: -211323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of g**7\/1260 - g**6\/90 + g**5\/15 + 7*g**4\/12 + 13*g. Let p(d) be the third derivative of h(d). Suppose p(j) = 0. Calculate j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2261, -3096, -3953, -4838, -5757?\nAnswer: -6716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*(w*w**(-2\/15)*w)\/w)\/(w*w**(1\/14)) assuming w is positive.\nAnswer: w**(167\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1939171 + 1049458. Let p = 889667.0037 + q. Let j = p - -46. What is j rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 977, 3907, 8803, 15671, 24517, 35347?\nAnswer: 48167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0008912818401 to five decimal places.\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119 = 5*p - 3*w, -6*p - 5*w + 7 = -5*p. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1436 - -1615?\nAnswer: 2a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3153 + -3133. What is the highest common factor of 18040 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -695*g + 1361*g + 660 = 732*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 315415 divided by -2.\nAnswer: -315415\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 11:35 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 960.9709mm in meters?\nAnswer: 0.9609709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(-44)*60\/(-75).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, r: 1, y: 4, l: 3, x: 1}. What is prob of sequence lr?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*u - 5 - 582*u**2 - 37*u**3 - u**4 + 35*u**3 + 4 + 584*u**2 + 2 to the form n + r*u**2 + h*u**3 + s*u**4 + y*u and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 11 = -24, -74 = -5*g + 2*y. Solve g = -54*k + 57*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 2*u - 29, 3*n - 101 = -5*u - 0*u. Suppose 7 - u = -5*t. Solve 0*x = -5*x + s + 1, -5*x + 3*s + t = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00082237 rounded to five decimal places?\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -25964.2 - 208368\nAnswer: -234332.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -171772 + 2134138212\nAnswer: 2133966440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 83607.14nm?\nAnswer: 83.60714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes before 6:46 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -21 + 45. Let u be (-5)\/(15\/i) - -4. Solve -u*k - 2 = 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -61*y**2 + 3*y. Let z(n) = 4*n. Give z(g(o)).\nAnswer: -244*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -193.989067753 - -115.989067986. Let g = -78 - v. Round g to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49 = 3*h - 4*t, -3*t - 873 = -16*h - 1061 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/2, -0.08, 0.6, -9\/520, -3 in decreasing order.\nAnswer: 5\/2, 0.6, -9\/520, -0.08, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7772 and 4618511.\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15593 is divided by 346?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21891912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 129822642, 129822645, 129822648?\n\"Answer: 3*z + 129822639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 49, -6, 4, 5, -5, -38 in increasing order.\nAnswer: -38, -6, -5, 4, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1303414km to meters.\nAnswer: 130.3414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 35574.2 weeks?\nAnswer: 21515276160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -23482, -46867, -70256, -93649, -117046, -140447?\nAnswer: -163852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4820 and 9873770.\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.5 - -0.3. Let k = -13874 - -13874. What is the closest to k in 3, o, 9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 308 divide 1002499960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 10 = -4*n. Let l(f) be the second derivative of 1\/2*f**2 - 1\/6*f**3 + 0 + f. Calculate l(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 8*b**2 + 25*b**2 - b + 40 + 40*b - 6*b**2. Let m be v(-1). Calculate the highest common factor of 49 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 12 = 152. Is 4\/x + (-3)\/(-7)*33259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 2*d = 10 - 9, 10 = -2*u - 4*d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/9  (b) -13  (c) 5\/3  (d) -4  (e) -0.125\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7.67 - -1.86. Round z to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -53 + -7. Let y = -55 - m. Suppose 4*s = -y*u + 63, -u + 4 = s - 9. What is the greatest common factor of 99 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 227*b - 220*b - 6 = 0, 4*m + 2*b + 6 = 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -561023 != -561089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 72 and 1800738?\nAnswer: 7202952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) -234  (c) 1\/5  (d) -0.4  (e) 0.63  (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(2) + -1) + -3)**2 + (6*-2*sqrt(16)\/sqrt(8))**2.\nAnswer: -36*sqrt(2) + 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 103729909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 2*d. Suppose -3*u + 20 + 4 = d. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19.75986168 - -19.76. Round h to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.72 times -0.0442471?\nAnswer: 0.031857912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 18557491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 252*19.4.\nAnswer: 4888.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 14820430721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0833 and 559.\nAnswer: 46.5647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/70*(370\/6)\/(-37)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 425443 - -3?\nAnswer: 425446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 266439 to the power of 1\/2, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 37 + -38 + (2 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 6*t - 104. Let z be j(22). Suppose -11 = -3*l - 3*s + 10, -5*l + 2*s = -z. What is the highest common divisor of 9 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28, -134, -258, -358, -392?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.2 + 8. Let r = b - -1.2. Let t = r - 8.23. What is t rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from {u: 8, e: 2, d: 2, c: 5}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add -556116235 and 26.\nAnswer: -556116209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is -238 divided by -34?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.6, -2\/5, 43, 107451 in increasing order.\nAnswer: -2\/5, 0.6, 43, 107451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24555 - 12277 - 12278 + h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5089?\nAnswer: 7, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3101, 3103, 3107, 3113, 3121, 3131?\nAnswer: 3143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 2*s = -2*k + 12, -21 = 2*s - 5*k. Let r(b) = 2*b. Let x be r(2). Suppose l - 5*c = -x*l + 30, -4*l + 26 = -5*c. Is s less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 13500 and 182925?\nAnswer: 3658500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46643 is divided by 1727?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 449656 and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**3 + 16*h**2 + 16*h + 18. Let d be j(-15). Suppose d*t - 6 = 9. Calculate the least common multiple of t and 43.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(224)\/sqrt(4))\/(sqrt(648) + -2*sqrt(648) + sqrt(8) + sqrt(8)) + 6*sqrt(70)\/(sqrt(160)*6 - sqrt(10)).\nAnswer: -96*sqrt(7)\/161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 22 - -21?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from issisi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2073*d - 750. List the prime factors of l(-4).\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bshbbsesebbbbe. Give prob of sequence be.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:12 AM and 7:23 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4\/13, -1\/2, -5, 2, 1, -0.3, 82?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 795.8479l to millilitres.\nAnswer: 795847.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -2*z**2 - 289*z - 12. Let k be m(0). Let y(u) = 13*u + 161. What is y(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g**2 - 241*g + 647262 = 0. What is g?\nAnswer: -934, 693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 12*u. Let a(d) = d**2. What is a(q(g))?\nAnswer: 144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15.2 + 21.2. Which is the third biggest value?  (a) -6\/17  (b) -2\/11  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37986468 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -2 - (-10 - -6 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -144885507 and -3.63.\nAnswer: -144885510.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -15 - 0. Suppose 489 = -30*m + 1899. Suppose 108 + m = i*f. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32))**2 + 4 + 5*sqrt(18).\nAnswer: 15*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the first derivative of -1\/2*f**2 + 1\/120*f**5 - 2 - 1\/12*f**3 + 0*f**4 + 0*f. Let d(i) be the second derivative of h(i). Solve d(c) = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3589 - 3589.0000919. Round i to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 393 is divided by 392.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 303 + -111?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + -1 + 7 - -3 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.2, 4.9, -0.3, -47, 6.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*k + 43 = -3*f - 43*k, -f - 21 = -k. Suppose 37 = -2*i + 9. Is i bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 5565 = 2*q + q, -q = 4*k + 22195. What is k rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of -m**7\/1008 - 2*m**5\/15 - 4*m**2. Let x(k) be the third derivative of s(k). Let g(w) = w. Calculate x(g(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 437583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 14129299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 e when three letters picked without replacement from {e: 2, b: 10}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/10*-12*(-5)\/60\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - -674.\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 210404764 to the nearest integer?\nAnswer: 14505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 1, -9, -1\/3, 2, -14\/11, -20.1, -3?\nAnswer: -20.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (52 + (-7 - 28) - (1 - -7)) + (-16 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 407540?\nAnswer: 2, 5, 7, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 16 + 1 + (5 - 7 - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 22120 - 2?\nAnswer: 22112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 36 - 32. Suppose d*v + 10 = 9*v. Let i = 44 - v. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 61 + -40. 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: Calculate -2 + 8 - (-29 + (43 - 18)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -1199*h**2 + 596*h**2 + 595*h**2. Let g(p) = 34*p + 2. Determine g(v(y)).\nAnswer: -272*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 - -11. Let s be (3 - j)*3\/9. Which is smaller: 3\/7 or s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1015023 or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*d**4 + 2 - 533626*d + 2*d**3 - 6*d**5 + 533627*d - 811 wrt d?\nAnswer: -120*d**3 + 48*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + -7 + 1 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((g\/(g\/g**6))\/g)\/g*g)\/g)\/g)\/(g*(g**0*g)\/g))\/(g\/(g*g**(-1\/2)))**(-14) assuming g is positive.\nAnswer: g**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-320)\/(-240)*120\/5?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -17613 and 0.08.\nAnswer: -1409.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of 41 - 4*f - 5\/2*f**2 - 1\/3*f**3. Let r be n(-4). Solve 5*a = -5*o - 10, r = -2*a + 2*o - 11 - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**2 + 2*c - 12.\nAnswer: 2*(c - 2)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 51 - 47. Solve 2*u = 5*t - 8, u - 2*t = -0*u - h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2498256 and 11664.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -158293?\nAnswer: 4\/158293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18263*t - 18 = 18262*t + 13*n, -2*t + 13 = -3*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1587098, 3174196, 4761294, 6348392?\nAnswer: 7935490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -4*d**3 - 2*d**2 - 2. Let y be q(-3). Let w be -1 + -18*(-4)\/y. Which is the nearest to 0.5?  (a) -3\/2  (b) w  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1655 + -948. Let j = -8 - -8. Suppose -3*c = 2*c + 4*s - h, j = -3*s - 6. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -9469, -75362, -253965, -601558, -1174421, -2028834, -3221077, -4807430?\n\"Answer: -9380*s**3 - 75*s**2 - 8*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1168505698.\nAnswer: 2, 107, 743, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 43.32 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -0*y + 8. Let w(t) = -43 - t - t**y + 6*t + 21 + 16. Let d be w(2). Solve -5*j - 37 = 3*r - d, 4*r = -j - 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 3 + 3)*(1 + 3 - 3) + 2 - 1 + 1 + 19 - 1 + 1)*(-g - 5*g + 5*g)*(g - 2*g + 0*g).\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -4*w**2 - 181*w + 324. Determine k(-47).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 731*c**4 + 4*c**2 + 467*c + 4. Let f(l) = 732*l**4 + 6*l**2 + 467*l + 6. Let v(x) = -2*f(x) + 3*m(x). Find the second derivative of v(o) wrt o.\nAnswer: 8748*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64483 is divided by 592?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*t**4 + 266183*t**3 - 7*t**2 + 40395*t?\nAnswer: -48*t + 1597098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 135*f - 132*f = -r - 9, 2*f + 6 = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are 2899 and 2897 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1564 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 - h**2 + 2. Let c be w(-5). Suppose o - c = -o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 - 26*w**2 - 48*w + 28. What is t(-24)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) - (sqrt(99) - -1*sqrt(99)))\/sqrt(9)*6.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3  (b) 8\/3  (c) 0.5  (d) 0.1  (e) -1\/5  (f) -1793\/6  (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36934 and 38114?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 7055, 56494, 190663, 451928, 882655, 1525210, 2421959, 3615268?\n\"Answer: 7061*m**3 - m**2 + 15*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 879912?\nAnswer: 2, 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -5*x. Let n(k) = -3*k**2 - 4*k. Let d(z) = 2*z**2 + 3*z. Let g(y) = -4*d(y) - 3*n(y). What is g(w(s))?\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -419.\nAnswer: -5\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 + 11*l**2 - 12*l - 22. List the prime factors of w(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08 take away -28.359?\nAnswer: 28.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3231\/400901 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 4*o - 90. Let k be g(23). Suppose 3*i + h - 454 = 389, -566 = -2*i - k*h. Is i a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -54.1788 and 149132.\nAnswer: 149077.8212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 28395869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 762 and 4.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11332297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-six fifths of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -24e6e1 (base 16) in base 7?\nAnswer: -26361506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 15) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - 300212?\nAnswer: -300213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 188052.\nAnswer: 2, 3, 15671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y - 30 = y - 5*f, f - 15 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 102 - 92. Calculate the remainder when 27 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10508599 to the power of 1\/2, to the nearest integer?\nAnswer: 3242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, k: 1, p: 2, j: 1, r: 1, n: 2}. Give prob of picking 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*q + 113*q + 820 = 74*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19197 is divided by 84?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 113*f**2*r + 1163997*f**2 + 578506487*r wrt f?\nAnswer: 226*f*r + 2327994*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*l = -3*v + 15*l - 13*l + 5*l - 9, 25*l - 21*l = -8*v + 44 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63 = -4*v - 55. Let b be (0\/(-5) - 1)\/(v\/(-62)). What is the greatest common divisor of 217 and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -23*f**3 + 2*f**2 - 8. Let u(l) = 4*l**3 - l**2 - 1. Let o(p) = -r(p) - 6*u(p). What is o(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of -o**7\/231 - o**6\/165 + o. Factor y(j).\nAnswer: -2*j**4*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 158430012 and 52?\nAnswer: 158430012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -10465029*z**2 + z + 84468128.\nAnswer: -20930058*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24 + v + 11 - 3)*(6*v**2 - 6*v**2 - v**3)*(-v + 0*v + 0*v).\nAnswer: v**5 + 32*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u**5 + 56130*u**4 + 618055*u**3 - 224520*u**2 - 2472140*u = 0. What is u?\nAnswer: -11, -2, 0, 2, 11237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of j**4\/3 + 71*j**3\/3 - 281*j**2\/2 + 1099*j. Differentiate o(t) wrt t.\nAnswer: 8*t + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-233 + -29)\/(-1*1). Suppose -7*f = 53 + l. Which is bigger: f or -47?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -122433 divided by -1103\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**3 - 36*v**2 - 36*v + 324.\nAnswer: 4*(v - 9)*(v - 3)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 766.12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, e: 8, j: 5}. Give prob of picking 2 j and 1 e.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 PM and 4:47 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 3089 + 0 + -1*(4 - 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -32*o - 21. Give p(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2961837 divided by 2961837?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*f**4 + 2*f**3 + 25026*f**2 + 6004811*f.\nAnswer: 36*f**2 + 12*f + 50052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28 + 102 - 16)*(4 + 4 - 27)*(-1 - i + 4*i - i).\nAnswer: -4332*i + 2166","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of x**7\/1260 + x**4\/24 + 7*x**2. Let f(q) be the second derivative of y(q). Let d(u) = -2*u. Calculate d(f(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the third derivative of -b**4\/24 + 2*b**3\/3 + 11*b**2. Calculate n(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 2*i**3 + 34*i**2 - 7*i + 57. Is j(-13) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 2*t. Let b(n) be the first derivative of -n**6\/360 + 16*n**3\/3 + 2. Let v(l) be the third derivative of b(l). Calculate v(p(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70*f - 449*f**2 - 110*f + 180*f - 41*f**2.\nAnswer: -490*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -3*v**2 + 50*v + 29. Calculate z(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/(-6))\/((-6)\/162). Suppose 3*c - z*c = -918. Let t = 226 - c. List the prime factors of t.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of d**2\/2 + d + 44. Let m(c) = -4*c + 6. What is -8*j(i) + m(i)?\nAnswer: -12*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 235733233.\nAnswer: 23, 1097, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(405) + 1)*-3 - sqrt(405) - sqrt(405) - sqrt(405)) + 1 + 0 - ((-6*sqrt(20) - (sqrt(25)\/sqrt(5) + -4)) + 5))**2.\nAnswer: 902*sqrt(5) + 8526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 5:05 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*u**2 + 0*u**2 - 3*u**3)*(88 - 23 - 20 - 45 - 962*u) in the form k*u + q*u**4 + l*u**3 + z + w*u**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {w: 8, s: 4, v: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 68532934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1398588 and 528?\nAnswer: 61537872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.11327 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -t**2\/6 - 4326313*t\/3 - 18716984173969\/6 = 0.\nAnswer: -4326313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let h = 2481 + -2433. What is the least common multiple of 192 and h?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 644906947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (22 + -11 + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i + 1. Let z be m(4). Suppose -4*h = z*q - 27, 3*h = 4*q + h - 6. Let b be (2\/4)\/(34\/(-12) - -3). Calculate the greatest common divisor of q and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/4*(-56)\/1092?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 6*j - 2*j = -26, 10 = -p - 3*j. Suppose -p*v - 381 = -5*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from gogqqnknqknqkkgqgoo.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -334*d - 94. What is the tens digit of c(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 2358 = -2386 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*s**4 - s**2 + 2*s**3 + 0*s + 2*s - s to the form p*s**2 + l*s + d*s**3 + b + q*s**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1937977683 to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/15*(-3129)\/(-196). Let u = z + 17\/10. Put u, 1\/3, 3 in descending order.\nAnswer: 3, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = -j - 6. Let u be j\/42 - (-3)\/21. Which is smaller: 1\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -3.03?\nAnswer: -7.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/21, -1\/5, -56\/9 in decreasing order.\nAnswer: -4\/21, -1\/5, -56\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 0*h - 2*h - 385 = 0, 3*z - h - 231 = 0. Let g = -35 + z. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -231036 divided by -57759?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of 22*v**3\/3 + 13*v**2\/2 + 15*v - 5. Let z be d(-8). Suppose 5*f = -5*t - 354 + 2559, z = 3*f + 4*t. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1832633 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -21212 (base 9) in base 11?\nAnswer: -a59a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z**5 + 31603002*z**4 + 27742995534172*z**3 - 92476904604744*z**2 + 86311841305344*z - 24660534113408 = 0. What is z?\nAnswer: -1755724, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 39 + -95. Let i = m - -50. Which is the closest to 0.1?  (a) 2  (b) -3\/5  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (32 - 14) + (2 - 0) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**2 + 3*u + 18. Determine x(-9).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-928)\/(-493) - (-6)\/51. Suppose -x + w*x + 4*r = 35, 0 = -2*x + 2*r + 30. Calculate the remainder when x is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 2 + 11. Let w(r) = r**3 + 23*r**2 + 61*r + 26. Let z be w(-20). Solve 3*a - q*l - 9 - z = 0, -3*a + 23 = -5*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/((-459)\/(-748) - 36\/99)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -96 + 98. Suppose x = -5*d - p*x + 540, 5*d - 505 = 4*x. Calculate the remainder when d is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -50, -104, -158, -212, -266, -320?\n\"Answer: -54*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 2018962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 17d6b252 - 5?\nAnswer: 17d6b24c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 277 a factor of 382935326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of 5\/33*w**3 + 2\/11*w**2 - 1\/6*w**4 + w + 74 + 2\/55*w**5. Let o(b) = 0. What is b?\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -4\/21 and 805971 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -21 - 12530?\nAnswer: -12551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**3 + 6*c**2 - 31*c - 4. List the prime factors of k(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -9  (b) -329  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2. Let z(g) = -10*g. Let i(t) = t**3 - 5*t**2 + 1. Let h be i(4). Let u = h + 10. Let n(b) = 9*b. Let r(q) = u*n(q) - 6*z(q). Give r(a(x)).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*r - 5 + 86. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2862278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3543980 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(325)*-1)**2*4 - sqrt(325))*-5.\nAnswer: -6500 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00113 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1120836 and 65366.\nAnswer: 1592707956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l - 2*l - l)*(l**2 + 2*l**2 - l**2) + 86*l**3 + 18*l**3 + 150*l**3 - 3*l**3 - l**3 + 5*l**3 + (-4*l**3 - l**3 + 7*l**3)*(-4 + 6 - 4).\nAnswer: 249*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/3  (b) 0.15  (c) -140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 6*z**2. Let n(w) be the third derivative of w**7\/2520 + w**5\/12 - 4*w**2. Let i(v) be the third derivative of n(v). What is f(i(d))?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 281341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -348 divided by 174.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -41396434 and -0.4.\nAnswer: 16558573.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h + 6. Give m(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 z when three letters picked without replacement from gllgnggnznlgg?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 157669 is divided by 4159.\nAnswer: 3786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (9\/6)\/((-3)\/90*-5). Calculate the highest common factor of q and 252.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3796001018 from -0.3.\nAnswer: 3796001017.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -379*v + 334*v - 178*v - 749*v.\nAnswer: -972*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -2*v - 25, 0*v + 15 = -3*v. Let y(q) = -q**2 + 5*q - 7. Let p be y(w). Put 1, -5, p, 2 in descending order.\nAnswer: 2, 1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, -2, 19 in ascending order.\nAnswer: -2, -1\/6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*v**2 + v**2 + 4*v**2 - 3*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (((4320\/150)\/36)\/((-14)\/(-55)))\/((-32)\/(-14))?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -2*x**2 - x + 18. Let c be y(0). Suppose f - 7 = -c. Let g(s) = -s**3 - 12*s**2 - 12*s + 4. Let z be g(f). Solve -p + 4*p = -z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z = -b - 8 + 1, -z = 2*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11794481 is divided by 287669.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -12*a**5 + 38*a**4 - 30*a**3 + 4*a**2 = 0?\nAnswer: 0, 1\/6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 414842 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ueeuuueu. Give prob of sequence ue.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 20335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 257, 5 in increasing order.\nAnswer: 4, 5, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41 + 46 - 87 + 29118*o.\nAnswer: 29118*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 - 8*a**2 + 20*a + 6. Give s(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 81\/4 of a week in hours?\nAnswer: 3402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51 - 86 - 2*u**3 - 3093*u + 137 + 3093*u.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -2\/7, 2\/7, 348 in ascending order.\nAnswer: -2\/7, 0.2, 2\/7, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*x + 20*x - 5 = 0. Solve -1 = -x*t + 2*p, 8 = 4*t - 5*p - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -943 bigger than -943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7.89 and 5.\nAnswer: 39.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -442*v + 3229 + 8705 = 0 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, -15, -27, -39, -51?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 60844, 121542, 182240?\nAnswer: 242938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fvv when three letters picked without replacement from kfvkvkv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 44 + -37. Suppose 2*s = 5*s + 3*o - 39, 0 = -s - 3*o + 11. Solve -5*q = -2*d, -2*q + 5*d + s = -f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11527627?\nAnswer: 1279, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3 - 6) + 32 - 4. Determine m, given that 9*m**3 + a*m**4 - m**3 + 16*m**2 - 29*m**4 - 32*m = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3430\/(-147))\/((-90)\/27)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17048, -22913, -32688, -46373, -63968?\nAnswer: -85473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 3*b + 10 = 0, 4*w + 4 + 32 = 10*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8.3 - -70.7. Let y = v + -79. Which is the closest to y?  (a) 1  (b) -5\/4  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2139886 or 2139894?\nAnswer: 2139894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 741.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21025255.\nAnswer: 5, 1051, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -0*n - 4. Let s be 4*1*1\/n. What is the third derivative of -3*y**3 - s*y**5 + y**2 + 3*y**3 wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 548 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 150121 is divided by 736?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -489539, -979078, -1468615, -1958150, -2447683, -2937214?\nAnswer: -3426743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -234 + -2?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -5*g - 2. Give t(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -480*m**4*p**2 - m**4*p - 2654*p**2 wrt m?\nAnswer: -1920*m**3*p**2 - 4*m**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y - 2*y + 3*y)*(985 + 792 - 1583).\nAnswer: 194*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*s - s + 0*s)*(-3 - 1 + 0) - 15*s - 4 - 44*s + 25*s to the form o*s + z and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14 - -3110?\nAnswer: 3041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 100, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -2*q**3 - 26*q**2 - 92*q - 1222. Determine i(-13).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 24476 = 4*v, 4975 = -5*u + 4*v + 35597. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-138)\/(-105))\/(26\/182))\/((-2)\/(-5)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*n + 6*n + 5*n - 3*n**3 - 7*n**3 - 12*n**3.\nAnswer: -22*n**3 + 31*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4599)\/7154)\/(((-3)\/9)\/(-4*196\/(-288))).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.401995 months to decades.\nAnswer: 0.020016625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 1:57 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -4*y + 75. Suppose 0*t - t = -y. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 2 - (1 + -9)) + 20 + (5 - 2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 178  (b) -0.12  (c) -0.055\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 451852.\nAnswer: 2, 83, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 902.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2*(-1 - 0) + -7. Let f be 2 + -3 + (-6)\/(-3). Suppose -3*x - 4 = -f. Put o, x, -3 in descending order.\nAnswer: x, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.51, -0.2, -147\/10 in ascending order.\nAnswer: -147\/10, -0.2, 0.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -t - 1794, 3*i - 83*t + 78*t - 2691 = 0. Calculate the greatest common divisor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3  (b) 0.4  (c) 11  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6415 + -211820\/33. Let z = -29\/88 - f. Find the common denominator of z and 61\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -6502886, -6502888, -6502890, -6502892, -6502894?\n\"Answer: -2*j - 6502884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 2 - 72\/68) + (-23052)\/6069?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2012 + 21?\nAnswer: -1cc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + -4)\/(-6 - (-22 - -10))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*g**3 + g**3 - 8 + 4*g**3.\nAnswer: -5*g**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t = 4*a + 166, -40 = -21608*t + 21607*t + a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4 + 1 + (-3)\/((-21)\/28). Is 7 a factor of w\/4*(-2 - 2)*-327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-560)\/140*(-1)\/(4*(-2)\/(-12))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -97 + 98. Let l = 0.8 + -3.8. What is the closest to m in 0.3, -3\/4, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 9 = -3*p, 2*p - 4*l + 0 = 14. Let c = -8 + 1. What is the second smallest value in -3, p, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 17*q**2 - 15*q + 27. Let s(x) = 12*x**2 - 10*x + 18. Let k(v) = 5*p(v) - 7*s(v). Let i = 3 + 3. What is k(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -10*x**3 - x**2 - 4*x + 5. Let p(v) = -9*v**3 - v**2 - 5*v + 6. Let m(g) = g**3 - 29*g**2 + 211*g - 11. Let f be m(15). Calculate f*p(t) - 5*o(t).\nAnswer: 14*t**3 + t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*r**2\/11 + 432*r\/11 - 6042\/11.\nAnswer: -6*(r - 53)*(r - 19)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1160 and 38278666.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of -4*z**3\/7 + 9*z**2\/14 + 3*z\/7 - 314. Factor p(g).\nAnswer: -3*(g - 1)*(4*g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*z + 7. Suppose -4 = v - 0, -z*v = 4*s - 68. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -2*v**2\/7 - 20175140*v\/7 - 50879534252450\/7 = 0.\nAnswer: -5043785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 113265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000017254 to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 27 divided by 4\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16 - (9 + 3 + -5 - 32)) + 16?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k + 3*k = -12. Suppose -4*z - 2*h = 3 - 5, 4*h = k*z + 4. Solve 0*j - j = z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*y - 10*y + 15*y - 348 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16666 + 16666. Suppose 5*w = 4*j - 5*j - 75, -j - 5 = 0. What is the closest to 0 in s, -1, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 84 = -1316. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/2*(3 - 28\/7). Let i(g) be the first derivative of 3 + y*g**2 + g. Give i(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -t**3 - 3*t**2 + t**3 - 9*t**6 - 5*t**2 wrt t?\nAnswer: -1080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2 - 12*r - 9. Let w be v(-11). Suppose a + w*a = p - 9, p = -4*a + 2. Calculate the smallest common multiple of p and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39850.\nAnswer: 2, 5, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -146*q. Let c(a) = -23*a - 11. Let j be c(-1). Let y(g) = 0 + 0 - 4*g**2 + 18*g**2 - j*g**2. Determine y(v(p)).\nAnswer: 42632*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = c - 10, 2*x - 223 = -5*c - 189. What is the greatest common factor of 1686 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w - 5*a - 14, 4*w - 3*a - 8 = -4*a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/30)\/((-2)\/2)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -4\/3  (b) 1  (c) -0.03  (d) 3  (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1750822 + 1743954 = -68*l for l.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 AM and 2:36 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7043 is divided by 125.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 107, -3.\nAnswer: -3, 5, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.2 - 0.3. Let c = -0.9 - g. Let n = 115.2 - 115.2. Put n, -1\/3, c in decreasing order.\nAnswer: n, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -184*s**2 + 181*s**2 - 6 - 1 + 6. Let m(n) = n**2. What is -14*m(t) - 4*x(t)?\nAnswer: -2*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 391 by -4.\nAnswer: -391\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 366.7 + -367. Which is the fourth smallest value?  (a) -1  (b) -7\/3  (c) -2  (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 16 = -8*l + 9*l, 4*l + h - 86 = 0. Let f = -13 + l. What is the remainder when 9 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 6*u**3 - 6*u + 1. Let d(i) = -i - 1. Let q(a) = -6*d(a) + p(a). What is the derivative of q(r) wrt r?\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1001111101101101 (base 2) to base 12.\nAnswer: -1b751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.26057 + -42.26057. What is the nearest to 3.6 in -1, 2\/11, b, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6422653 rounded to the nearest 1000?\nAnswer: 6423000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 528.5479 litres to millilitres.\nAnswer: 528547.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 20\/9 and 13\/47.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*s - 13 = 9. Factor -8*f**2 - 844*f - f**2 - 3*f**s + 12 + 889*f.\nAnswer: -3*(f - 4)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -34.1\nAnswer: -6.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 1 - 1)*(-x + 3 - 3)*(36 + 49 - 114) to the form z + r*x and give r.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 214 + -214.3. Let h be (-159)\/105 - -2*5\/(-50). Sort n, h, -4 in descending order.\nAnswer: n, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**2 - 366*y + 144593. Give t(239).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7*((-16)\/238)\/4.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + 11. Let y(o) = 6*o - 35. What is the remainder when y(14) is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 714 = 14*p + 105*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 138*r - 321 - 138*r - 730*r**4 wrt r?\nAnswer: -2920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k = -1900 - 4484. Does 48 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**3 + 3*a**2 + 6*a - 4. Let r be d(4). Suppose -r*t + 12 = 84. List the prime factors of 15 + t + 18\/(3 - 2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1437, -3, 0, -4, 2, -2 in decreasing order.\nAnswer: 1437, 2, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 + 6*h**2 + 2*h - 4. Suppose -3*s = -0*s - 30. Suppose 3*o = -s - 5, 4*v = 5*o + 5. What is the remainder when 32 is divided by d(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/17216 and 97\/96?\nAnswer: 51648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from lcoclloqq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -4*6\/(-12)*(-8)\/(-200)*10\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lvllvlvllvllll. Give prob of sequence vlvv.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3611, -7233, -10855, -14477?\nAnswer: -18099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes before 7:44 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 6, z: 13}. What is prob of picking 2 z?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-63)\/(-1155))\/((-6)\/(-20))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 AM and 9:14 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 112 - 107. Suppose 37 = 3*b - 4*d, -k*b = -2*b - 3*d - 33. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -937, 1, -6 in decreasing order.\nAnswer: 1, -6, -937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tiiiiititiltbtiliii. Give prob of sequence ibli.\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 68.79752l in millilitres?\nAnswer: 68797.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of -17*h**4\/24 + 5*h**2. Let q(b) = 2*b**2. Determine a(q(c)).\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(6 + 0) - (-18)\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 6. Suppose 6 - 22 = -x*d. Is (d - 93)\/((-2)\/((-6)\/(-3))) 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 4 and 2872.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d**5 - 3*d**4 + 3*d**4 + (2 - 2*d - 2)*(4*d**4 - 2*d**4 + d**4) + 3*d**4 + 8267*d**5 - 7580*d**5 - 4*d**4.\nAnswer: 679*d**5 - d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4365337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4696.759241 rounded to the nearest ten?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -28085 divided by -5617\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -25060 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.1 minus -0.2281?\nAnswer: 10.3281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*i + 6*i + 4*i + 9*i to the form s*i + k and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 8*z + 10. Let t(c) = -3*c - 4. Let x(h) = -4*o(h) - 11*t(h). Calculate x(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 636 + -1088. Let r = u + 451.999999773. Round r to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1637 is divided by 117.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 - 15 + 35*m)*(2 + 1 + 0) - 3 + 9*m - 18*m + 10*m.\nAnswer: 106*m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*s = -48*s + 29*s - 896 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 51*l - 1. Let t = 6 + -5. Is 9 a factor of a(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -4  (b) 55  (c) -3\/5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1 + -64244.\nAnswer: -64244.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 119898 and 119898.\nAnswer: 119898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -21*d**2 - 6*d. Let j(h) be the third derivative of h**4\/12 + 175*h**2. Let m(w) = -w**2 - 12*w. Let n(t) = 6*j(t) + m(t). Calculate f(n(q)).\nAnswer: -21*q**4 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 5*v**2 + v**2 - 4*v**2 + v**2. Let y(u) = -5*u. Calculate y(m(o)).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 2*i = -h + 18, -4*i = -4*h + 24. Suppose -h*d = -4*a + 3*a - 8, 8 = -4*a. Suppose -2*n - y = -116, y = -n - d*n + 173. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.3 and -1.962.\nAnswer: -0.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 + 5*k**2 + 4*k + 8. Let r be y(-5). Which is the smallest value?  (a) 2  (b) 0.2  (c) r  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 192.249l to millilitres.\nAnswer: 192249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1894490108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10 - 5. Let i(r) = -48*r**3 - 1 + 1 + c*r**2 + 2 + 3*r + 4*r**2. Let j be i(7). Round j to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 - 4. Let m be b(-3). Suppose -m*j = -j - 720. Let n = j - 128. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k**3 - k. Let g be n(-1). Let l be (8 - 0)*g\/2. Let p = -48 - -49. Is p at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -34 + (77 + -36 - 26) - 69.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2. Let d(s) = -8323*s. What is d(g(y))?\nAnswer: -8323*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.222 - -1.862. Put 2, 1\/6, q, 0, -1 in ascending order.\nAnswer: -1, q, 0, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 2*k - 10, -5*w - 2*k + 23 = 2*k. Suppose -w*q + 2*c = 4, 6 = -5*c + 1. Let g(n) = 3*n**2 + 3*n + 2. Calculate g(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one twentieth of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3180 + -1631. Let d = -804 + i. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2 - f. Let c(r) = 7*r**2 - r + 1. Let j(t) = -c(t) + 6*p(t). What are the prime factors of j(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -50.829 + 51. Let t = v - -7.729. What is t rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*h - 202 - 10 = 118 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 857030269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28222, 112922, 254102, 451762, 705902, 1016522?\nAnswer: 1383622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*z**4 - z**2 + 9*z**3 - 7*z**3 - 11 + 11 as k*z**2 + y + q*z**3 + g*z**4 + w*z and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19 - 474\/25. Let v = 0.1 + 0.2. What is the second biggest value in -2, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 710392 is divided by 29.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/(-48))\/((-2)\/(-8)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -7241ab0 + -2?\nAnswer: -7241ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2202 - -2200. What is the closest to 1 in 223, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*i - 16*i = -9*t + 72, -3*t - 2*i - 14 = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -1, -1\/9, -138, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, -36, -54, -72, -90?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -650 - -688. Solve b*p = 43*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 633*y**2 + 647*y**2 - 1291*y**2. Let j(x) = -204*x**2. Calculate j(l(f)).\nAnswer: -24684*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1056, 1970, 2898, 3846, 4820?\nAnswer: 5826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g**5 + 218*g**4 - 568*g**3 + 118*g**2 + 228*g = 0.\nAnswer: -57, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*a + 4128 = 119*a - 38*a for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 3*c**2 - 6*c - 5. Let g(p) be the third derivative of -p**5\/30 + p**4\/4 + p**3 + 60*p**2. Let d(r) = -4*g(r) - 3*u(r). Factor d(x).\nAnswer: -(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 6*c - 36. Let r be j(6). Suppose -i + 642 = x, -650 = -r*x - x - 5*i. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 6:44 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -62 times 6?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118*f - 2*f**2 + 212*f - 94*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from udvvvuv. What is prob of picking 1 d and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 + 2*p + 3. Let x be z(3). Suppose x*f - 3 = y - f, y = 3*f - 9. Solve -k + 0*k - 5 = y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 239 is divided by 82.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 428 a factor of 32278829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.1604 + 1779.1604. Let k = 329720.57 - 327941.56231. Let v = b - k. What is v rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -334*g**4 + 330*g**4 + 76*g + 80*g + 90*g + g**3 + 97*g + g**2 in the form c*g**3 + i*g**2 + o + z*g**4 + r*g and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000009546 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -6 - (-4 - -5)) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 40514 + -40518. Sort 4, -44, u, -3, 0.\nAnswer: -44, u, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -3555, -7107, -10667, -14235, -17811?\n\"Answer: -4*f**2 - 3540*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -9  (b) 1.4  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n + 5. Let g be b(-3). Solve 4*m + 5*m**g + 5*m**3 + 3*m**2 + 2*m - 2*m + m**4 = 0 for m.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 180152188091.3 take away 45?\nAnswer: 180152188046.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 + 2 + 163699\/5634.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 - -5. Let a = l - -7. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 18450 = 5*f, 856 = 5*f + 866. List the prime factors of b.\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from qpqqqpqpqqqqqpqqqqp.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -83  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(19) - (-1*sqrt(19) + sqrt(19)))*-1)**2 + ((-1*sqrt(171))\/sqrt(9) + (-1*sqrt(228))\/sqrt(12))**2.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/3196 and (140\/(-188))\/(-5)*((-54)\/(-1071) + 0)?\nAnswer: 3196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*4*(sqrt(104) + (3*sqrt(104) - sqrt(104))))\/((sqrt(72) + sqrt(72)*1)\/sqrt(9) - (sqrt(32)\/(1*sqrt(4)) - sqrt(8))).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1450*y**3 + 2090*y**3 + 2503*y**3 + (-2 + 1 + 2)*(-2*y**3 - y**3 + 2*y**3) + 2*y**3 - y**3 + y**3.\nAnswer: 3144*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1683, -1678, -1671, -1662, -1651, -1638?\nAnswer: -1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(70) + sqrt(70) - sqrt(70))\/sqrt(10) + sqrt(70)\/(sqrt(10) - sqrt(640)).\nAnswer: -8*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1110 (base 3) in base 14?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 t when four letters picked without replacement from hhtttt.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxdeedlleeexvdexx. Give prob of picking 2 x and 1 d.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1493907 divided by 24?\nAnswer: 497969\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -5*p - 16. What is l(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 16*v**2 + 4*v**2 + 3 - 16 + 11.\nAnswer: 20*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 266785512 divided by -4404.\nAnswer: -60578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 169032027.\nAnswer: 3, 179, 314771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*z + v, -v + 4*v + 6 = 0. Suppose -l - z*l = -72. Suppose -l = -2*f + 2. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4 + 8)\/(-2)*-2. Suppose -185 = -a*n + 1519. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:21 AM and 11:12 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54 - 11*v + 8*v - 221*v**2 + 29 + 28.\nAnswer: -221*v**2 - 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -7*m**2 + m - 10. Let d be t(-8). Let x = 653 + d. Let f = 275 - x. What is the greatest common divisor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 3\/2, -216839, 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 + 50*i - 277. Give t(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00004667344939 rounded to 6 dps?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 5072128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2a - -127816?\nAnswer: 127842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1144*b - 588*b = 577*b - 546 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-324)\/24 - (-57130)\/4060. Let s be (-1)\/((-2)\/6 - 0). Determine x so that 12\/7*x - v*x**s + 2\/7*x**2 - 9\/7 - 1\/7*x**4 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1173, -90, 993, 2076, 3159?\n\"Answer: 1083*x - 2256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-22)\/(2706\/(-1025)))\/(30\/(-36))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 6*y**2. Let c(v) = -1151*v - 8. Let k(b) = -352224*b - 2446. Let q(h) = 1223*c(h) - 4*k(h). Calculate l(q(i)).\nAnswer: 8974374*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.7 + -1. Let k = w - -7.3. Let f = k + -8.0007. What is f rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 3*q - 6, -q = -5*y - 3*q + 7. Let d(j) be the second derivative of j**3\/6 + 5*j**2\/2 - 79*j. Let b be d(y). Solve -4*z = -b - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2. Let r = 2 - 0. Let k(b) = r*b - 2 - 1 + 3. What is h(k(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2182501 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.08 + -0.97. What is m rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.6 - -7. Let n = a + 0. Let t = n + 1.1. What is t rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(567)*-5.\nAnswer: 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*1975799.94.\nAnswer: -9878999.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 5*j - 3232, 6*q - 11*q = 2*j - 1282. List the prime factors of j.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 45\/(-72)*((-2)\/200*-156)\/(5\/(-50))?\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 142659 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nikipmmpiiminm. What is prob of picking 1 k and 2 p?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -93 + 89. Let h be (-495)\/22*1*s\/3. Solve -3*n + 9 = 3*r, 0*r + 4*r - 5*n - h = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -9*o + 1. Which is the smallest value?  (a) o  (b) -6  (c) 0.5  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 PM and 3:28 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -24*z + 22\/3*z**3 + 16*z**2 + 2\/3*z**4 + 0 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 4*o - 13 = 0, 9 = 4*s - o - 2. Suppose s*n - 108 = -6*n. Calculate the greatest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 19 - 26 + 41*h - 86*h + (h - h + h)*(4 - 6 + 1) - 2*h + h - h - 2 - 2*h + 2.\nAnswer: -50*h - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*(l**21*l)\/l)\/l*l\/l**(1\/6))**(-22\/7))**49 assuming l is positive.\nAnswer: l**(-10087\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 38338648559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.47 + -3.37. What is the nearest to -13 in i, 0, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmpmmzmpmmmzkm. Give prob of picking 2 m.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 3:23 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, o: 2, i: 4}. Give prob of picking 3 i and 1 u.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 24\/16)*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - (-9)\/(-11)) + 3. Let p = 707\/44 + x. Find the common denominator of p and ((-2)\/20)\/(2\/4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-6)\/(-8))\/(287\/164))\/2*-20?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000075082857 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 PM and 8:11 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -210597*y**5 + y**4 - 9*y**2 + 31149.\nAnswer: -12635820*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3299*c = -3316*c + 34. Let f(x) = -x**3 - x. Let h(a) = -104*a**3 + 2*a**2 - a - 3. Let m(j) = 2*f(j) - h(j). Is m(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 234365902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -q + 1. Let a = -16038 - -16037. What is the nearest to q in a, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -6*a + 5. Let d be k(-13). Suppose 0 = -10*s + 187 + d. Is ((-60)\/7)\/(-4 + s\/7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -i**2 + 5*i**2 + 304*i - 4*i**2 - i**2.\nAnswer: -i**2 + 304*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 708*m = 2395 + 1853 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -142*u - 989. Let o be x(-7). Let m(v) be the first derivative of -1\/3*v**6 + 0*v + v**2 - 6 - 4\/5*v**o + 4\/3*v**3 + 0*v**4. Factor m(c).\nAnswer: -2*c*(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (1*-2)\/((-416)\/1456)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -68.27  (b) -0.043  (c) -1.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/12 - (-26)\/(-72).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**2 + 108*g + 1052. Calculate m(-11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 + 18*m**2 - 22*m + 23. List the prime factors of z(-14).\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 4 = -0. Let k be 4\/2 - (q - 1). Suppose -k*v = v - 153. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -p**4 - 792642*p**2 - 6742070*p.\nAnswer: -12*p**2 - 1585284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (42 + (-345)\/10)\/(3\/2). Let x(i) = i**2 - 6*i + 3. Let b be x(6). Solve 4*l = r - 14, 0*l - b*l = a*r + 22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (((-2916)\/90)\/(-3))\/((-1)\/(-35)). Round p to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27 - 7 - (-37 + 56).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 335553261 + -1.4.\nAnswer: 335553259.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nwwngggnnnfnnnwngnn. What is prob of sequence fgnn?\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + 3. Let d(y) be the third derivative of -y**6\/20 + y**5\/30 - 2*y**3\/3 + 287*y**2. Let i(h) = 13*h**3 - 4*h**2 + 9. Determine s*d(f) + 4*i(f).\nAnswer: -2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*p**3 + p**2 - 12*p**3 - 1 + 2 - 12*p**2 - 2*p**3 as n*p + x*p**3 + h*p**2 + u and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(150)\/sqrt(48))\/(sqrt(360) + (sqrt(360)*-3 - sqrt(360))).\nAnswer: -sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of -1\/2*z**2 + 0 + 4*z + 1\/3*z**3. Let l be f(1). Solve 4*i - 5*x + 17 = 0, x = -3*i - l - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-43)\/2*-1)\/((2\/6)\/(292\/(-438)))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-5) - ((-113)\/(-85) - -49*74\/(-7252))?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1178447003?\nAnswer: 37, 773, 41203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 34320*k**2*l**3 + 29*k**2*l - 4*k**2 + 4*k*l**3 + 13*k - 4932*l**3 - 3*l wrt k?\nAnswer: 68640*l**3 + 58*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 3*f - 2. Suppose -t + 2*z = 1 + 1, 2*t = -z - 4. Let g be (-484)\/132 + t\/(-3). Determine i(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-2)*48\/(-48))\/(1\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 16*c + 4 to the form z + t*c and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 3*a + 23 = 0, -6*k - 37*a + 25 = -32*a. Let r = -2 - -2.4. What is the biggest value in k, r, -0.4, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2234*h**2 - 11*h + 6. What is the tens digit of x(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 30*j**3 - 2*j**2 + 2 - 2*j - 17*j**3 - 12*j**3 in the form z*j**2 + r + q*j**3 + g*j and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14047 - 70166\/5. Find n such that -20 - 14\/5*n**3 - 1\/5*n**4 - 28*n - u*n**2 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 291 is divided by 102?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -74\/285 and 33\/35?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.03 and -72335148.\nAnswer: -72335148.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 0. Which is the nearest to 0.1?  (a) -1\/8  (b) -1  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d + 1 + 8. Suppose -21 = -3*b + d. Solve z + b = 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(2\/13))**(-1\/33)\/(f\/f**(-17)*f*f\/(f*f**12*f)*f) assuming f is positive.\nAnswer: f**(-3005\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(-3)*g)\/(g\/(g**8*g*g))*g**5*g\/g**8 assuming g is positive.\nAnswer: g**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1988, 5, -3?\nAnswer: 1988","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -668*m**4 - 246*m**3 - 1252013*m**2.\nAnswer: -16032*m - 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 3*f + 6. Let y be ((-87)\/58*(-1)\/(-6))\/((-1)\/2). Let k = -3.5 - -4. What is the closest to y in k, f, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1029*m - 28*m + 10064 + 12291 = -6184 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/s**(-23\/2)*s)\/s)\/(s**16*s))\/(s**(-15)*s*s*s**25) assuming s is positive.\nAnswer: s**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4935 and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, k: 6}. What is prob of sequence kk?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 112*d**4 - 415 + 415 + (2*d + 0 + 0)*(0*d**3 + d**3 - 2*d**3).\nAnswer: 110*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104) - (sqrt(104)*2 - sqrt(104)))\/((sqrt(10)*2)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 + 4*f**2 + 4*f + 2. Give d(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4961993?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (6 - -3) + -6 + 21\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 + 7*p**2 + 2*p + 16. Let j be u(-7). Is (-1)\/(j\/972)*75\/(-150) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + o = 0. Find the first derivative of -3 + o + 3*p**4 - 4*p + 4*p wrt p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes after 1:10 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 226780 and 90712.\nAnswer: 453560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1323 by -21.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -7.73 times -11924\nAnswer: 92172.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15152598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.014 in -1.9, 5, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1008 + 4300\/7*y**2 + 1416*y + 2\/7*y**5 + 402\/7*y**3 - 72\/7*y**4.\nAnswer: 2*(y - 21)**2*(y + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(3)*-1 + 3 - ((sqrt(27) - (sqrt(27) + 0 + sqrt(27) - sqrt(27) - sqrt(27))**2) + 5).\nAnswer: -2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/20, 3\/8, 0.2, 2\/9, -4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(4 + ((4 + 2 + sqrt(475) + sqrt(475))**2 - sqrt(475))) + 2 + 0.\nAnswer: 575*sqrt(19) + 9702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 2*i**3 + 678*i**2 + 926*i + 84505. What is g(-338)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 642*u**2 + 79*u - 74. Let b(v) = -107*v**2 - 13*v + 12. Let j(l) = -37*b(l) - 6*s(l). Let r(i) = 54*i**2 + 4*i. Give 4*j(q) - 7*r(q).\nAnswer: 50*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 - -41043441?\nAnswer: 41043433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (63*w**2 - 61*w + 56*w**2 - 117*w**2)*(3 - 1 - 1) in the form x*w + l*w**2 + c and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1237, 925, 685, 517?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -228592.9300009 + 228593. Let z = -0.07 + j. What is z rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3226.\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/6)\/(-8*4\/(-96)). What is the hundreds digit of (-16732)\/(-47) + -5 + b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -2*v**4 + 13204*v**3 + 185250*v**2 - 13204*v - 185248 = 0.\nAnswer: -14, -1, 1, 6616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 53 - 44. Let j(t) = -t**2 + 11*t + 4. Let c be j(11). Let s(i) = 3*i + 2. Let x(r) = -7*r - 4. Give c*x(n) + v*s(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + a + 149, -152*i + 5*a + 49 = -151*i. Solve -i*p - 56 + 56 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 243 <= 243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add 1 and 18110.263037.\nAnswer: 18111.263037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 + 3.8. Let d be -8 + 2 + (-3 - -9). Let k = 2.51 - -0.49. Which is the second smallest value?  (a) d  (b) k  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-7)\/x)\/x*x)\/(x*x**(-2\/11)) assuming x is positive.\nAnswer: x**(-86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or -0.0933?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 3*w = 28 - 5, 4*f - 5*w = -17. Let u(v) = v**3 - 2*v**2 + 4*v - 5. Let z be u(f). Solve m - 5 = -s + z*m, -6 = 3*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 2879*p + 22963. Determine h(-8).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9265 and 1022420.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -79, -85, -95, -109, -127?\n\"Answer: -2*m**2 - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 140 and 4520.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 136 a factor of 576474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -77 - -82 - (1 + -1 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -4, -1, -1225, -0.396?\nAnswer: -0.396","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -2 + 11. Suppose i + l - 6 = 0, 0*l - 14 = -b*i + l. Let 1 + 4 - i + v**2 + 3*v**3 = 0. Calculate v.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 6*b + 2*b = 0. Suppose b = -131*t + 122*t + 5049. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.26094992 to two decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 75 divided by 45\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 8*t - 2. Let g = 2655 + -2635. Calculate the least common multiple of g and n(3).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2*n - 3)*((1 + 3 - 2)*(5 - 6 - 1) + 1 + 1 + 1 + 1 - 3 - 2) + (72*n + 46*n + 10*n)*(1 + 0 - 2).\nAnswer: -138*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o - 3*c + 55, -34 = -o - 0*o + 5*c. Let w = -10 + 15. Let k = w + o. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 1 + 3)*(-6*t + 4*t + t) + 8*t - 20*t + 10*t - 17 as i*t + v and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1030 - -1322?\nAnswer: 3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.162, -0.9, 4, -4 in decreasing order.\nAnswer: 4, 0.162, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 769806 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2*x + 4*h = -56, -3*h + 30 = x. Let y be ((-36)\/(-21))\/(x\/63). Solve b - y = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3822 = -167*k + 76*k. Let x = 49 - 21. Calculate the highest common divisor of k and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 52 + -45 + -49 + 31?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -25*c**2 + 13*c**2 + c**2 + c**3 - c + 10 + 11*c**2. Let n be p(0). Solve 3*z + 2*a - 4*a + n = 0, -4*z - a = 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*d**2 + 12*d**2 - 57*d**2)*(4 - 1 + 1 + 12) as z*d**2 + v*d + r and give z.\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 149 divide 2095169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.03, -0.1, -2\/5, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*w = 20*w - 28. Suppose w*g + 637 = -308. Let m = 141 + g. What is the fourth biggest value in 2, 3\/7, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the third derivative of k**5\/160 - k**4\/32 - 20*k**2. Factor t(w).\nAnswer: 3*w*(w - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47.57149 weeks to days.\nAnswer: 333.00043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 67 - 63. Suppose -t + 0*t - 3*i + 25 = 0, -61 = -r*t + i. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*t + 816 = 79*t. Solve -k - t = 2*l, l = 5*k - 3*l + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 887*z**3 - 1799*z**3 + 896*z**3.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15077 - 4978. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 185760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*p**4 + p**4 + p**4)*((-1 - 3 + 2)*(41*p + 47 - 47) + (-1 - 2 + 5)*(0*p + 2*p + p)).\nAnswer: 152*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 499198645?\nAnswer: 5, 11, 421, 21559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g**3 - 2*g + 41*g - 11*g + 37*g to the form m*g + v + q*g**2 + s*g**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the third derivative of j**6\/120 - j**5\/60 - j**4\/24 - j**3\/6 + 2*j**2 - 96*j + 5. Let w(n) = -76*n**3 + 38*n**2 + 38*n + 38. Give 38*c(o) + w(o).\nAnswer: -38*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(440)\/(sqrt(11) - sqrt(44)\/(sqrt(4)*-2)))\/(sqrt(8)*-1*3*-3))*-1 + 2.\nAnswer: -3 - 2*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(((o*o**(-3))\/o)\/o)*o*o**8)\/((o*o**(2\/5)*o*o)\/o*o)**(2\/5) assuming o is positive.\nAnswer: o**(316\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqquqqquqquqqqqqqquq. What is prob of picking 1 q and 2 u?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150 + 26 - 290 = -138*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-42)\/(-5))\/(3\/10). Let j be -1 - 0 - q\/7. Which is the nearest to 1?  (a) j  (b) -3  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes after 3:48 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 7, -2\/423?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the second derivative of -g**5\/20 + g**4\/4 + 2*g**3\/3 - g**2 + 9*g. Let z = -2 + 4. Suppose -5*y + 5*p = -35, z*p = -3*y - 3*p - 3. Give w(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4594 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + -19. Let t(v) = -7*v + 83. What is the units digit of t(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 42 + 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1 + -3 - 2) + 1238.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1773257 at least as big as -1773258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -78 + 6. Suppose -3*d = -4*d + 18. Suppose 0 = -5*n + 5*q + 70, 3*n - 4 - d = -2*q. What is the remainder when z is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -136957790*n**6 - 266427*n**2 - n - 74 wrt n.\nAnswer: -16434934800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 44 = -r. Suppose 25*h - 23 - 2 = 0. What is the greatest common divisor of h and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9255841 to the power of 1\/2, to the nearest integer?\nAnswer: 3042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1303203103 (base 5) to base 7.\nAnswer: 36005563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (-129 - -152) + 38.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58*v - 27 + 92 - 65.\nAnswer: -58*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -91\/29, -0.6, -8 in decreasing order.\nAnswer: -0.6, -2\/3, -91\/29, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 1690 divide 1174188037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes after 4:07 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aiiaii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 3*z - 15 = -6*z, -5 = -3*h - z. Find the second derivative of 27 + 36*v + h*v**3 + 4*v**3 + 9*v**4 - 27 wrt v.\nAnswer: 108*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*o + 2*z - 7, -4*o = -z - 5. Solve 8*g + 20 = -o*d + 3*g, 5*d + 19 = 3*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -360*u. Let p(g) = -3*g**2 + 2368*g. What is n(p(f))?\nAnswer: 1080*f**2 - 852480*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2916990 a multiple of 963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.18665 take away 9?\nAnswer: -13.18665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-12)\/3 - -2) + 101. Suppose -3*x - p = -4*f + 9, -124 = -5*f + x. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*u + 6*u - 10*u + u + 6*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 872045758 to the power of 1\/2, to the nearest integer?\nAnswer: 29530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 1 + 3)*(537 - 86*u - 537)*(4*u - 4*u - 2*u**2).\nAnswer: -516*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + -26 + 2 + (1 - -19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, 2\/35, 0.4, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1*12 + 0)\/((-12)\/(-8)). Sort c, 5, 1 in decreasing order.\nAnswer: 5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -577 from 40451164619.\nAnswer: 40451165196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -256.2*7.\nAnswer: -1793.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 3*y**2 + y + 2. Let o be p(-1). Suppose -3*c - 9 = -0*c. Suppose 9 = -4*v + 5*a, -a - 2*a = 3*v. Put c, v, o in descending order.\nAnswer: o, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -325.9959 to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 330 + 52 = 55*m - 113 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -1 + 2*a - 3*a + 0*a**2 + 10*a**2 + 2. Let x be i(2). Let z = x + 120. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2240.37 at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**10)\/(z**1\/z))**(2\/87) assuming z is positive.\nAnswer: z**(-6\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -15*n**2 + 4. Let a(j) = 43*j**2 + j - 13. Let q(k) = -2*a(k) - 7*r(k). Suppose -2*d = 3*z - 1 + 4, 0 = -d + 3*z + 12. Is q(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2\/7, -0.1903 in descending order.\nAnswer: 2\/7, -0.1903, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -2016 divided by -224\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -13*a + 28. Let z be d(2). Solve 0 = 6*g - 14 + z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -3*t**3 - 2*t**2 - t. Let x(n) = -16*n**3 - 11*n**2 - 5*n + 1. Let h(z) = -2*z**3 - 30*z**2 - 58*z - 67. Let f be h(-13). Determine f*b(s) - 2*x(s).\nAnswer: -s**3 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rggggrgrgrggrrjrgrgr. Give prob of sequence rr.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l - 2. Let k be g(-2). Let z be (1\/k)\/((-5)\/720*-3). Suppose 3*b - 20 = -i + 41, 4*i = -2*b + z. What is the lowest common multiple of b and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5\/4, -0.061, 1, -0.1, 0.059, -0.01?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15 - -71) + 5 + -22 - (7 + -1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 280 is divided by (-10)\/(-15)*-3 + 279\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.4168 + -0.3168. What is the nearest to -0.2 in 13, 0, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 52142146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 122*o + 425*o + 124*o + 27*o to the form y + h*o and give h.\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r + 0 + 0)*(-3*r**3 + 2*r**3 + 2*r**3) + 8*r**4 - 303*r**4 - 127999*r**2 + 128000*r**2.\nAnswer: -297*r**4 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25 + -526)\/(-19) + -20 + 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.7205 - 18.\nAnswer: -18.7205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 156 + -70. What is the remainder when c is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -85\/28 + 249\/14. Find the common denominator of (-16)\/2 + 1 - (-58652)\/8122 and g.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a**4 + a**3 - 4218883*a**2 + 2*a + 5506187?\nAnswer: -12*a**2 + 6*a - 8437766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l = -12, 482*h - 487*h = -4*l + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -3*g**2 + 11*g. Let r(v) = -4*v. Calculate c(r(y)).\nAnswer: -48*y**2 - 44*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 - 16*b**2 + 17*b - 26. Let y be p(15). Which is smaller: 13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 - 9*p - 15. Let l be i(-5). Find the second derivative of -c + 3*c + c - 20*c**5 + 3*c**l wrt c.\nAnswer: -340*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(304) - (sqrt(304) + 1)) - sqrt(304))**2*-5.\nAnswer: -1525 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 148 + 243. Let a(q) = -3*q**2 - 65*q + 1. Let i be a(c). What is the highest common factor of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -5*r, 0 = -5*l - 750*r + 755*r + 10. Is 2\/55557 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7.387 - 7.383661. What is u rounded to 4 dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + 4. Suppose 6*u = k*u + 20. Suppose 2*d - d = -4*j + 16, -5*j = 5*d - u. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.84 + -2. Let x = o - 6.34. Let v = 6 + x. Which is the second biggest value?  (a) 2\/5  (b) -4  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1288363761 and 30?\nAnswer: 12883637610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 8, -5*o = 2*h + 6 + 4. Let n = -9 - h. What is the nearest to 1\/3 in n, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(297)\/sqrt(11) + 0)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - 181490?\nAnswer: -18148f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*x**2 - 4*x**2 - 6*x**2.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 102 + -104.7. Let i = t + 2.78. Let q = -38.12 - i. What is q rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1324442 (base 5) in base 12?\nAnswer: 13674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 24.487, 7\/3 in descending order.\nAnswer: 24.487, 5, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let h = 48 + -24. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 - 4*b + 3. Let a be x(-6). Let m = a - -11. Suppose -4*f - f + 40 = -5*y, -5*y = -m*f + 13. What is the greatest common divisor of 18 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 58496, 116973, 175450, 233927?\nAnswer: 292404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 271*s = 242*s + 2320. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {s: 1, i: 2, r: 1, t: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 + 7*a**2 - 16*a - 129. Let b be r(-6). Solve -b*o + 2*o + 2*g = 0, -6 = -3*g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the second derivative of b**5\/50 + 79*b**4\/10 + 4641*b**3\/5 - 14161*b**2\/5 + 1202*b. Let g(s) = 0. What is s?\nAnswer: -119, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -209366.907 + 209195. Let d = u + 172. What is d rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/379608 and 41\/759216?\nAnswer: 759216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 take away 2965465410?\nAnswer: -2965465410.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 807748501 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 16*m**2 - 2237*m + 2078. Let w(z) = 7*z**2 - 1119*z + 1046. Let u(y) = -6*q(y) + 13*w(y). Factor u(a).\nAnswer: -5*(a - 1)*(a + 226)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1592 and 796?\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.04566109 rounded to 3 decimal places?\nAnswer: -1.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 18 = -x, 3*x + 13 = -5*s - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -110 + 114. Suppose -i*a + 207 = 8*z - 3*z, 0 = -2*z - 2*a + 84. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -71*w**2 - 25005*w - 4585. What is l(-352)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 62 + 65. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 8, 2\/49, -0.5 in ascending order.\nAnswer: -0.5, 2\/49, 0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11\/96 - -7\/32. What is the nearest to -10\/7 in 5, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2\/5 - 1566*j\/5 - 22048.\nAnswer: 2*(j - 848)*(j + 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 17281830823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -121 divided by -152.\nAnswer: 121\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/17, -237, 3\/2 in descending order.\nAnswer: 3\/2, 2\/17, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 2*i + 0)*(-4*i + i**2 + 4*i) + 2*i**3 - 1 + 1 + 4*i**3 - 3*i**3 + 4*i**3)*(i**2 - 3*i**2 + 4*i + 3*i).\nAnswer: -18*i**5 + 63*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32 + (-1 + 1 - 8 - (-17 + 19)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 AM and 4:12 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(612)*2 + 5 + 3 - (sqrt(612) - (sqrt(612) + (sqrt(612) - (sqrt(612) + -2)**2) + -2 + sqrt(612)) - (3 + sqrt(612) + -2)**2).\nAnswer: 3 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.4, -2\/13, 10284, 0.4, -3, -4 in increasing order.\nAnswer: -4, -3, -2\/13, 0.4, 1.4, 10284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/14, 0.204, 16\/7, -184, 1\/9?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the third derivative of 0 + 5\/6*q**3 + 1\/60*q**5 + 5\/24*q**4 + 0*q + q**2. What is the units digit of d(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 109 and 68691473?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 865379 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/126 and 61\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3572.\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u + 89. Is 23 a factor of i(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -42.832 + -0.168. Let f = 43.000006 + l. What is f rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 2 = -238. Let m be 4*(-1)\/(-10)*s. Suppose -2*n + m = 2*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 259650 and 750?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 834 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -3*y + 3*j + 16, 0 = -4*y + j + 20. Let r be y\/(-10) + (-7)\/(-5). Let z = r - -8. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 7*a + a**2 + 23*a - 30*a - 1. Let h(p) = 3 - 4*p**2 + 3*p - p + 0*p. Let x = 525 - 524. Calculate x*h(v) + 5*n(v).\nAnswer: v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00015049977 to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w - 2. Let l be t(7). Suppose -3*d = -6*d - 42. Let j be (-5)\/7 - (-4)\/d. Sort l, 2, j in ascending order.\nAnswer: j, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3539, 7128, 10729, 14348, 17991, 21664, 25373?\n\"Answer: h**3 + 3582*h - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -1*(1*sqrt(12) + 0).\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 22 = 2*l - 0*l, l + 3*x - 7 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*u + 48*u - 38*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1060.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 5 = -3*k. Suppose -5*z - 4*j - k = 0, z - 10 + 3 = j. Differentiate 26*f**z - 3 - 3*f**4 - 26*f**3 with respect to f.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of 22 + 10*l - 3\/2*l**2. Suppose 2 + 12 = 2*i. What is p(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (116*o + 869 - 869)*(-o + o - 2*o**2) + 15*o**3 + 11*o**3 - 20*o**3 as b*o + d + k*o**3 + j*o**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 19961043761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -16, -60, -140, -262, -432?\n\"Answer: -k**3 - 12*k**2 - k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.55 - 11.55. Let h = 13 + m. What is the second biggest value in 0.06, -1, h?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21761541 and 729?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**2 + 3. Let m(q) = -4*q**2 - q - 13. Suppose 0 = -2*i - 2*u + 56, -i + 2*u + 19 = 6*u. Suppose -5*s - i = 14. Calculate s*c(f) - 2*m(f).\nAnswer: -f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 53\/4 of a day?\nAnswer: 19080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1619442 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 - 4. What is the third derivative of -k**3 + k**3 + 2*k**2 + p*k**2 + k**3 wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11618*n**3 + 18 - 11618*n**3 + 16*n - 2*n**4 to the form z*n**2 + x*n**3 + i + t*n + m*n**4 and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39 + -84 + 58 + (-12 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/(-4*(-1)\/2). Suppose -g + u*g = -2. What is the units digit of 2 - 1 - g\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 114\/(-20) - (35 + (-9369)\/270)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3*q + 4)*(-5*q + 2*q + 2*q) - 2*q + 2*q**2 + 6 + 2*q.\nAnswer: -q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2 - 9*r + 3. What is j(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -2951.48 to the nearest ten.\nAnswer: -2950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/(-55) - 4\/(-22). Suppose t = 2*q - 1 - 9. Let c = -7 + q. Sort c, -4, 1.\nAnswer: -4, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t. Let p = 6 - 14. Calculate the lowest common multiple of o(p) and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of p**8\/6720 - p**7\/2520 - p**6\/720 + p**5\/120 - p**4\/8 + 19*p**2. Let o(g) be the second derivative of f(g). Give o(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**3 - 5160*f**2 + 10311*f - 5154.\nAnswer: 3*(f - 1718)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 1 = -x, x + 7 = -0*s + 3*s. Suppose -y + 12 = -f - 1, -5*f + s*y = 67. Let n = f + 18. Solve 3*t + n*w = 9, 3 = -0*t + t + 3*w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -11*s**3 - 254*s**2 - 2*s + 3979 wrt s?\nAnswer: -33*s**2 - 508*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 755, 5516, 18431, 43574, 85019?\nAnswer: 146840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -7 + 2025017?\nAnswer: 2025010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - 12. Which is bigger: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00504113 rounded to 6 dps?\nAnswer: 0.005041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (201 + 11 + 6)*(-2*q + q**3 + 2*q) + (-4*q**3 - 2*q**3 + 5*q**3)*(-3 + 3 - 2) - 6 + 6 + 4*q**3 as u*q**3 + d*q**2 + r + j*q and give u.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 97 + -91. What is the highest common divisor of 120 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 + 32. Suppose -s + y = 4*s. Factor 0*g**3 - 2\/7*g - 4\/7*g**4 + 0 + 4\/7*g**2 + 2\/7*g**s.\nAnswer: 2*g*(g - 1)**3*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23507635 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-11)*1103\/4412.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*r - 25 = -33*r. Suppose -r*y + 13874 = 9*y. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 959*g - 17600. Let k = 168 - 64. What is the remainder when s(19) is divided by k?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k**5 = 0. Calculate k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**8\/((j\/(j*j**(1\/6)))\/j))\/(j*j**(1\/4))**(1\/2) assuming j is positive.\nAnswer: j**(205\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10674 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*x**2 - 63*x**2 + 113*x**2.\nAnswer: 81*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*x - 1456 = -150*x for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-198 + 198 - 20*b)*(37 - 6 - 2)*(2*b**2 - 2*b**2 - 2*b**2).\nAnswer: 1160*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 446*a**2*r**2 - 746*a*r**2 wrt a?\nAnswer: 892*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 + 2. Let m = -3 + y. Let j = m - -8. What is the closest to j in -1\/12, 4, -3\/7?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79 = 42*l + 247 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -78\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 162516 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 79, 81, 83?\n\"Answer: 2*m + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 - 10*b + 3. Is 5 a factor of r(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 - 11*v**2 + 12*v - 9. Let y be o(10). Let t(p) = -y - 2*p + 11. Let n(x) be the second derivative of -x**4\/6 + x. What is n(t(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12 less than -139?\nAnswer: -139.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.07?  (a) -4  (b) -3  (c) 1  (d) 6  (e) 9\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8 + -11 + -10 + (5 - -1). Let h(z) = 12*z - 2. Let j(l) = 13*l - 3. Let v(k) = -3*h(k) + 2*j(k). Let x(y) = 9*y. Give w*x(f) - 6*v(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2\/3 + 10397054*t\/3 - 27024682969729\/3.\nAnswer: -(t - 5198527)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1.4, 0.01, 3.2, 11\/7, -1\/4?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.5, -43\/4, -2\/13, 12?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -5\/2, -2\/5, -53 in ascending order.\nAnswer: -53, -5\/2, -2\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40, -146, -320, -562, -872?\nAnswer: -1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g**(-3\/8)*g)\/g)\/(g\/(g*g**1)))\/((g\/g**1)\/g)**(-27))**33 assuming g is positive.\nAnswer: g**(-6963\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 194349082 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41874.\nAnswer: 2, 3, 7, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 8 + 0 = 0. Let b = -323 + 325. What is the closest to 3 in i, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 14\/(-30) + (-6)\/(-9). Suppose 11 = -f + 4*v, 3*f - 4*v + 0 = -9. Which is smaller: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -311*r. Let x(m) = -3519*m**2. Determine x(h(a)).\nAnswer: -340361199*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.018360889 rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-4\/9))**14)**13 assuming k is positive.\nAnswer: k**(-728\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7070 - 7066. Solve u*n - 20 = -5*l, 64*l = n + 68*l - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of 12*r**7\/5 + r**6\/120 + r**4\/3 - 44*r**3\/3 - 59*r**2 - 3*r + 5. Find the second derivative of j(h) wrt h.\nAnswer: 6048*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 349866253 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -218 + 423. Let c be 0 + -2 + 4 + h. Suppose 4*m + 0*m = 5*t - 111, -5 = -5*m. Calculate the greatest common divisor of c and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 72 = -n + 120*p - 121*p, -3*p = 0. Suppose -11 = -4*f - 3. What is the least common multiple of n and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + 1110011?\nAnswer: 1110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13467*w**3 + 6751*w**3 + 6703*w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and 30860?\nAnswer: 61720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 326 + -324. Solve h = -p + 3, 0 = 3*h + o*h + 3*p - 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 490172773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 366 a factor of 558150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15758, 15687, 15552, 15323, 14970, 14463, 13772, 12867?\nAnswer: 11718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -527.14 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 15*o**3 - 4*o**2 - 4*o - 3. Let h be y(-2). Round h to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5840 and 28571470?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 201527, 402825, 604123, 805421, 1006719?\nAnswer: 1208017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*h - 13*h - 19*h.\nAnswer: -64*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.73071 + 24993?\nAnswer: 24992.26929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -41448 or -41432?\nAnswer: -41448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 12955655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1779 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + a + 0 = -24, -x + 5*a = -72 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3148?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2589.97 - 2590. Which is the smallest value?  (a) i  (b) -3\/5  (c) 7  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -67.51 and -261700.\nAnswer: -261767.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from {b: 1, j: 1, y: 2, c: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in 0.3, 0, -0.5, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, s: 8, b: 6, n: 2, r: 1}. Give prob of picking 1 b, 2 n, and 1 s.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 18 = 5*d, 2*j - 4 = -2*j. Let g(o) = 3*o - 13. Let a be g(5). Suppose 3*q - 5*c = 31, -3*c = -a*q - 2*q + 23. Solve -d*w + q*w = 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 857 + -856.9. Let n = -13\/2 + 8. Which is the nearest to u?  (a) n  (b) 0  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -46140*u**2 - 15*u**3 - u + 2 + 46140*u**2 to n*u**2 + d*u**3 + p*u + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1514 - 1510. Calculate the remainder when 122 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 4 = 3*l, -6*l = -3*r - 10*l - 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**37\/x*x*x**(11\/2)*x*(x**(-32)\/x)**(-3\/29) assuming x is positive.\nAnswer: x**(2721\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/71442 and -19\/441?\nAnswer: 71442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 + 9*j**2 + j + 1. Let k(v) = -v**3 - 4*v**2 + 10*v + 7. Calculate the remainder when k(-6) is divided by l(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 4*j**2 - 5*j - 22. Let y(o) = o - 8. Let n be y(3). Let r be l(n). Suppose 3*i + r = t, 4*t - 7*i - 419 = -2*i. List the prime factors of t.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1730538461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -13 + 17 + (-33 - -23)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + 4*i - 502. What are the prime factors of i?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 15*h**2\/4 - 163985*h\/4 + 14779875\/2 = 0. Calculate h.\nAnswer: 550\/3, 10749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33478 - 167389\/5. Factor q*h**2 - 8\/5 + 2\/5*h.\nAnswer: (h - 2)*(h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42878 + 3.\nAnswer: 42881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f - 110370 + 110338 - f - 2*f**2. Give i(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m - 3. Suppose -4*j - 89 = -41. Let u be h(j). Solve -5*v + u*v = 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18787 times -7\nAnswer: -131509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of l**2\/2 + 6*l + 2. Suppose 2*h - 5*h + 21 = 0. Is r(h) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 1413*v**3 + 1497*v**3)*(3*v**2 - 6*v**2 + 2*v**2).\nAnswer: -2910*v**5 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4130*m - 13535 - 11245 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-1\/2))**(-31)*(q**(-2\/3)\/q)**47)**(2\/33))**(-17) assuming q is positive.\nAnswer: q**(6409\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3205*u**2 - u - 3207*u**2 + 36 - 24 - 12*u**4 + 2*u**3 to the form l*u**2 + f + m*u + b*u**4 + t*u**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yce. Give prob of sequence ce.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from swbccb. Give prob of picking 1 s and 1 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 1 + (sqrt(704) + -1)**2*3 + 3*(sqrt(704) - (0 + sqrt(704))).\nAnswer: -48*sqrt(11) + 2120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 15\/(6 + -3) - (-4)\/2. Let p(d) = f - 7 + 2*d**2 + 0*d**2. Let g(z) = -12*z**2. Determine g(p(v)).\nAnswer: -48*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 2.9, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2364 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66\/22 + (-140)\/132*3.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 814*f**4 + 770*f**4 + 31*f - 1183 - 31*f - 1166 with respect to f.\nAnswer: 6336*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25664 and 2005.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 14*v**2 + 14*v - 1077. Is r(23) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 3715*x**2 - 52*x - 52. Let y be d(-1). Is y < 3717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 2*y - 84, -y + 8*x - 4*x + 42 = 0. Suppose 2 = -5*u + y. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -34 + 111?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 3, -3, 4 in increasing order.\nAnswer: -3, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3130377437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of d**3*k - d**3 + 794*d**2*k + 898*d**2 - 1298*d*k + 9569*k wrt d.\nAnswer: 6*d*k - 6*d + 1588*k + 1796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5.1119 - -2.70293. Let o = -308 + 305.59. Let p = o - d. What is p rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 154812 or 1238495\/8?\nAnswer: 1238495\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*z = 2*y + 3*z, -2*z = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of 40*n**3 + 159*n - 168. Differentiate l(m) with respect to m.\nAnswer: 240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d**2 - 5*d - 4. Suppose f + 12 = 2*j + 3, 3*j = -3*f. Let k be 5\/f*(-48)\/20 + 0. Calculate t(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-25)\/4)\/((-1)\/(-4)). Let s = 55 + n. Suppose 2 = 4*z - s. What is the lowest common multiple of z and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 90 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = a - 4, -2*m - 2*a + 10 = 2. Suppose -3*d + 2*d + 20 = m. Suppose -z = -3, 4*z = u - 3*u + d. Solve 2*l + 4 = -3*h, u*l - 5*h + 7 = -1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 15172 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + 10. Let s be j\/(-3) - 112\/(-21). Factor 4\/3 + s*b + 10\/3*b**2.\nAnswer: 2*(b + 1)*(5*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 - 9384529\nAnswer: -9384529.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (1 - 2)\/((-11)\/88) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g**2 - 16049058*g + 32098104 = 0. What is g?\nAnswer: 2, 5349684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4380254943*t**3 + 4380254935*t**3 - 8760509870*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) 669  (c) 3  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 664930 and 2659720.\nAnswer: 2659720","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -13 + -1 + -215 + 218.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2904\/(-47916))\/(1\/(-165))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a + 7. Let q be s(5). Suppose -q*u = -6*u. Suppose x - 9 = -3*c + 6*x, 5*x = u. Solve 0 = -3*z - r - c*r - 12, -4*z = r + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y = 60*c - 57*c + 20, 4*c = -12*y + 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1\/849 + 90883\/33960. What is the common denominator of 57\/50 and k?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 239 - 1055 = -16*x. Let p be (58\/(-8))\/(3\/(-12)). Let f = x - p. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 171347*f**3 - 81076*f**3 + 114811*f**3.\nAnswer: 205082*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1\/1762 - 1767\/8810. Put 5, -1\/9, 1.5, t in decreasing order.\nAnswer: 5, 1.5, -1\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 73*q**4 - 129*q**4 - 124*q**4 + (7*q**3 + q**3 - 3*q**3)*(6*q - 3*q - q).\nAnswer: -170*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*m**3 + 3*m**3 + m**3 + (-4 + 0 + 2)*(-3*m**3 + 4*m**3 + m**3) - 16*m - 2*m**2 + 20*m - 11899*m**3 - 2 + 11892*m**3.\nAnswer: -12*m**3 - 2*m**2 + 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -694 + 5553\/8. Let y = -8 - -3. Let g be ((-2)\/14)\/(6\/(-12)). Sort y, g, r in increasing order.\nAnswer: y, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -i - 5. Suppose -38 - 24 + 14 = -16*u. Solve -u = i*a - 8*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1107 or 145?\nAnswer: -1107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c + 192*c**2 - 3338 - 2*c**3 + 3342 + 3*c**3.\nAnswer: c**3 + 192*c**2 - c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -22, -0.5, 0.1 in ascending order.\nAnswer: -22, -6, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11 and 5731?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -7420 divided by -1484?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**2 - 11. Let z be c(-5). Let i = -24 - z. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1905 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002528 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 10*x**2. Let z(d) be the first derivative of 0*d + 7\/2*d**2 + 0*d**3 + 5 - 1\/12*d**4. Let v(p) be the second derivative of z(p). Give v(i(w)).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y - 3*z - 33, 144*y - 148*y = 3*z - 79. What is the remainder when 1629 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1637 and -1637 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 86747*d - 7 = 86751*d, -5*d - 90 = -15*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 0  (b) -0.277  (c) -5  (d) -2\/11  (e) -10\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 223 a factor of 26983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 8*g**3 + 14*g**2 + 17*g - 26. Give d(-2).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - (-5 + (-12 - 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 767 = -16*o + 25519. Let x = -1057 + o. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 18*r**3 + 19*r**2 - 4*r. Let c(g) = 9*g**3 + 10*g**2 - 2*g. Let v(x) = 10*c(x) - 6*n(x). Factor v(s).\nAnswer: -2*s*(s + 1)*(9*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3 + 33*f**2 - 32*f.\nAnswer: -f*(f - 32)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9673*y + 4647*y + 31744 = -4770*y for y.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q**5 + 775*q**4 - 15335*q**3 + 94865*q**2 - 146800*q + 66500 = 0 for q.\nAnswer: 1, 10, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**4\/((t\/((t**(1\/14)*t)\/t)*t)\/t) assuming t is positive.\nAnswer: t**(43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 41 = 4*h, 0 = -6*h + h + 4*n. Let g(q) be the first derivative of -2*q**2 + 2. Let z be g(h). Solve 4*f + 16 = 0, -4*i + f - z = -0*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 0.1, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4239 is divided by 533?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*g**2 - 22*g**2 - 6*g**2)*(17*g + 15 - 15).\nAnswer: -374*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 91784.9956231 - 91785. What is b rounded to 4 decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/40)\/(192\/9728)?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -47*q**6 + 782*q**3 + 4948*q**2 - 33 wrt q?\nAnswer: -5640*q**3 + 4692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22893.\nAnswer: 3, 13, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + 12 + (72523\/(-95))\/11 + 16\/40?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**2 + 3*v - 2. Let j be m(3). Suppose -5*t + 0*t - c = -34, 5*c - j = -3*t. Solve -u + 4*x = 3*u - 32, -2*u + t = x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*m**3 + 2*m**3 + 2*m**3)*(8028*m - 4014*m + 7 - 4029*m) to t*m + g*m**4 + h*m**2 + r*m**3 + s and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 78*r**3 + r**2. Suppose u = j + 4, -u = -4*j - 5*u + 24. Is g(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10952316 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ette when four letters picked without replacement from tttettte?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xjsxxxss. What is prob of sequence sxxx?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 2*l**3 - 4*l**2 + 5. Let f be (-1 - -8)\/(2 - 3). Let i(p) = 3*p**3 - 6*p**2 + 7. Let v(b) = f*x(b) + 5*i(b). Find the third derivative of v(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 15 + 13\/2*n - 1\/2*n**2 = 0.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 168 by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y - y - 4*y)*(-4334*y**2 + 4334*y**2 - 4*y**3 + 20).\nAnswer: 16*y**4 - 80*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**2 - 5*f + 14. Suppose 42 = -5*r - r. Let w be c(r). Let i be 3\/(w\/4 + 1). What is the highest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -5*t**3 - 2*t + 6. Let i(w) be the first derivative of 0*w**3 + 0*w**2 - 223 + 1\/4*w**4 - w. Give -6*i(a) - l(a).\nAnswer: -a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/28 and -89\/970192.\nAnswer: 6791344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 4*k. Let s be j(4). Suppose -4*r + s*r = 3408. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1555402 and 175466.\nAnswer: 2974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 511350443?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**2 + 44343*m - 3521820.\nAnswer: 3*(m - 79)*(m + 14860)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sum 52974 and -4.\nAnswer: 52970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.409 and 0.1.\nAnswer: -0.0409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4493 + 22463\/5. What is the nearest to 0.2 in r, -4\/7, -113?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 13*d**2 + 4*d. Let b be 75\/(-60)*(-4 + 0). Let w(p) = -40*p**2 - 12*p. Calculate b*w(o) + 16*x(o).\nAnswer: 8*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 378 and 476.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, i: 13, o: 1}. Give prob of sequence bii.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -y - 2370, -2*u + y + 4742 = 2*u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1616739 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37199 is divided by 6186?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -51 + 203\/4. Let l = -311941 - -311942. What is the closest to -0.045 in l, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.25857491 - 0.2586. Round k to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:29 PM and 2:33 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times -11.909353?\nAnswer: -2.3818706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 57298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**11\/(a*a\/(a\/a**(18\/7))*a))\/((a**(-14)\/a)\/(a*a**(2\/57))) assuming a is positive.\nAnswer: a**(8963\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.06 - -4.06. Let x = 18 + -8. Let m = x - 11. Which is the nearest to -1?  (a) -4  (b) m  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5167 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 4*l = 74, -3*o + 3*l = 2*l + 132. Let m = 84 + o. Let b = m + -10. What are the prime factors of b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*h + 0*h - h**5 + (-7*h**2 - h**2 - h**2)*(-3*h**3 + 3*h**3 + h**3) + (0*h - 2*h + 0*h)*(-8*h**4 + 0*h**2 + 2*h**2 + 12*h**4).\nAnswer: -18*h**5 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -4. Suppose 22*n + 30 = 27*n. Solve -3 + n = f*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 8, u: 4, d: 2}. What is prob of sequence dw?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 15148 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 173 * -904.\nAnswer: -156392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(243) + -1)*1 + 1 + sqrt(27) + sqrt(363) + -1 + sqrt(363))**2.\nAnswer: -68*sqrt(3) + 3469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2440 by 5.\nAnswer: -488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, x: 4, g: 3, v: 3}. Give prob of picking 1 s and 1 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**2 - 27*d - 25. Let w be k(-26). Let n(y) = -12*y**2. Give n(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -347 + 382.1. Let z = m + -38. Let q = -2.9 - z. Put -0.3, -3, q in descending order.\nAnswer: q, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (56\/(-10))\/(16\/(-80)). Calculate the highest common factor of 42 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -218735 and -218735 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*c = 30 + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes before 7:00 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 368706*r**5 - 3*r**4 + 12200306*r wrt r.\nAnswer: 7374120*r**3 - 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 902 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 13294777400 to the nearest 1000000.\nAnswer: 13295000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -10*t - 1. What is v(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.34 * -38\nAnswer: -12.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l + 4. Let i be g(-3). Suppose 0 = 4*m - 3*m - 3. Let t(a) = -2*a**2 + 6*a**3 + a**2 + 0*a**m + a. What is t(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -824 take away 277?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 3*s**2)*(-6 + 1 + 4)*(0 + 1 + 3).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2236 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93229.35 years to months.\nAnswer: 1118752.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -3\/2, 159, 3, -4, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -486465 divided by -11865?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.5 + 0.3. Let q = 0.3 + w. Let n = -1617 - -1612. What is the second smallest value in -10, n, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 229\/3442 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4739\/396 + -331\/36. Calculate the common denominator of i and 49\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 19.67816369 to 1 dp.\nAnswer: 19.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g**19)\/g**4)\/(g**18\/(g\/(g*g**(-23\/3)))))**(1\/36) assuming g is positive.\nAnswer: g**(17\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 + 10 - (-2 + -1)) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 AM and 7:16 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 58439, 82961, 107483?\nAnswer: 132005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**2 + 2. Let u(w) = 2*w**2 - 143*w + 7. Give -4*r(o) + u(o).\nAnswer: -2*o**2 - 143*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3362364 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 n, and 2 m when four letters picked without replacement from nmmnmsmmnmmmbmms.\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/22 and -89\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2036736)\/(-3960))\/128 - (-8)\/(-2).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*j - 1. Let c = -7 - j. Let f be c*(-2)\/6 - -2. Solve -f*h - t + 5 = 4*t, -5*t + 29 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*g**3 - 605 + 86*g**3 + g + 275*g**3 - 4*g.\nAnswer: 359*g**3 - 3*g - 605","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6095 + 5*n - 5*n + 405*n**3 - 404*n**3.\nAnswer: n**3 - 6095","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 1835.878 to 0 decimal places.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -193 - -193. What is the third derivative of -13*f**2 + 25*f**2 + 11*f**5 + j*f**2 + 4*f**3 wrt f?\nAnswer: 660*f**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, z: 6, n: 1, p: 6, y: 1, r: 3}. What is prob of picking 1 y, 1 n, and 1 z?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 3*v. Solve -3*l + f + 1 = -v, l + 4*f - 9 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**3\/7 + 9531680*o**2\/7 + 1622376359448*o + 45426385557792\/7.\nAnswer: 2*(o + 4)*(o + 2382918)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 5240, 5237, 5234, 5231, 5228, 5225?\n\"Answer: -3*u + 5243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 42*y**3 + 93*y + 126*y**2 - 62*y**2 - 64*y**2 wrt y?\nAnswer: 252*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -52*y - 41. Let p be v(4). Let a = -247 - p. Solve a*f - 3*l + 8 = 0, 2*f + 3*f = -4*l + 26 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 4*t = 56. Let d be (-18)\/4*172\/t. Let u = 55 - d. Is 0 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 772467926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1559075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -70\/3 in -3, 1355, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**3 + q**5 - 2*q**3 - q + (q + q**2 - q)*(-4*q**3 + 3*q**3 + 4*q**3).\nAnswer: 4*q**5 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 1096 + 2319. List the prime factors of c.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3720 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*((sqrt(1377) - (sqrt(1377) + 1 + -1*sqrt(1377))) + -4))**2 - ((sqrt(1377) + 1 - sqrt(1377)) + 1 + sqrt(1377) - (1 + -1*sqrt(1377)))**2)*5.\nAnswer: -7380*sqrt(17) + 84615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*n, 2*y + 549 = 4*n + 6115. Suppose 5*d - 13 = 7. Suppose 335 + y = -d*b. What is b rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(13) + -4 + -4)**2 - (sqrt(325) + -1 - sqrt(325))**2*3 - ((2 + (sqrt(13) - sqrt(26)\/sqrt(2)))**2*6 - sqrt(91)\/(sqrt(112)*-2)).\nAnswer: -257*sqrt(13)\/8 + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 2*y - 16 = -2*k, k = -2*y + 1. Suppose -30 = -5*a - k*x, -5*x + 0 = 3*a - 24. Solve 4*z = 17 + a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16028 is divided by 7922?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 8*v + 8. Let q(x) = -2*x + 2. Calculate the least common multiple of 10 and q(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1628877 and 1374.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(-4\/5))\/(k*k*(k**2\/k)\/k*k))**(-14\/3)\/(k**(-3\/8)\/(k\/((k\/k**6)\/k)*k))**(-2\/77) assuming k is positive.\nAnswer: k**(8289\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -11*o**2 - 3*o - 11. Let w(q) = 17*q**2 + 4*q + 17. Calculate -8*h(s) - 5*w(s).\nAnswer: 3*s**2 + 4*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ejc when three letters picked without replacement from jceejece.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -d**4\/4 - 53*d**3 - 5723*d**2\/2 - 5565*d - 11025\/4 = 0.\nAnswer: -105, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 657 - 68984\/105. Let d(u) be the third derivative of 1\/420*u**6 + 0*u + 0 - 2*u**2 + 1\/84*u**4 + l*u**5 + 0*u**3. Determine g so that d(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, y: 11}. What is prob of sequence yy?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -3*y**2. Let x(n) = -11871*n**2. Give a(x(q)).\nAnswer: -422761923*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the second derivative of t**7\/112 - t**6\/60 - 13*t**5\/160 + 3*t**4\/16 + t**3\/12 - t**2\/2 + 22*t. Solve b(a) = 0.\nAnswer: -2, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -162*v**2 - 205*v + 7. What is n(-1)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4544 - 4544. What is the closest to -0.2 in 3\/2, 2\/3, 1\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**3\/b*b)**19*b**(-4\/3)*b**17 assuming b is positive.\nAnswer: b**(218\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.6051 - -0.60511066. What is o rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2636?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1232 - -1444. Solve -b = w - 214 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.24 - 3.76. Let q = 4.44 + t. Round q to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -19 + 7172a4?\nAnswer: 717286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-4 - -3)\/(18\/29) and -11\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -646 less than 57?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/2*(7 - 7 - 6). Let g = -36 - -44. Suppose -2*t = -3*p - 4, 2*p - 4*t + g = p. Which is the fourth smallest value?  (a) -3  (b) 2\/3  (c) l  (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -310, -523, -736, -949, -1162, -1375?\n\"Answer: -213*z - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/63 and 41\/33.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -32*q - 143. Let x(j) = 47*j + 214. Let u(o) = -7*p(o) - 5*x(o). Let n be u(-6). Is n\/2 - 4165\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5553952 is divided by 97435?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + (-3)\/(-1) - (-28 + 27). Put -36, q, -5 in descending order.\nAnswer: q, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 210\/252*90\/(-75)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77)*1)\/sqrt(7) + sqrt(539) + sqrt(539)*1)**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 54483433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -70476, -141107, -211734, -282357?\n\"Answer: 2*g**2 - 70637*g + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3123.\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -104946, -104892, -104804, -104682, -104526, -104336?\nAnswer: -104112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3109 or 1?\nAnswer: 3109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6170000 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9801 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -19 + -70802?\nAnswer: -7081b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -979 - -1385. Suppose 0*s - u = -7*s. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 92262 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the third derivative of -i**4\/24 + i**3\/6 + i**2 + 17. Let v(k) = 3*k**2 + 133 - k**2 - 67 - 65. Calculate p(d) + v(d).\nAnswer: 2*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*p**3 + 2806*p**2 - 2806*p**2.\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -2*q + 1423344, q = -n - 3*n + 711694. Suppose -20*f + 18*f = -q. Suppose -5*j - 95839 = -f. What is j rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 6399*m - 6397*m + 6 = 58, 122 = -2*b - 2*m for b.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 839794.7 to the nearest one hundred.\nAnswer: 839800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 2720550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, 5, -1\/131?\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 7 - 9 - 14*q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 59.1, 1\/2, -4 in decreasing order.\nAnswer: 59.1, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*i**3 - i + i - 3*i**3)*(28*i + 12*i - 17*i) + (-1 + 2 + 0)*(-3*i**4 + 2*i**4 - i**4).\nAnswer: 113*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22494543?\nAnswer: 3, 61, 122921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8018670.\nAnswer: 2, 3, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 800, 770, 742, 716, 692, 670, 650?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -109 * 897.\nAnswer: -97773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 56 and (-42 + 25)\/(2\/(-32)*2).\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 10*c - 5 + 8*c - 13*c. Let k be s(2). Let b(z) = 4*z - 5. Give b(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 243\/2*t**2 - 721*t - 1\/2*t**4 + 980 - 2*t**3 = 0.\nAnswer: -20, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 6*k**3 - 1190 + 3569 + 3*k - 1185 - 1189. Let z(r) = -r**3 - r. Calculate i(u) + 5*z(u).\nAnswer: u**3 - 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 14*c - 72. Calculate the remainder when c is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 35\/2 + (-2)\/(-4). Let g be (30 + -5)*(-6 - (-190)\/25). Let z = g + r. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * 1.7058.\nAnswer: -0.68232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 3*q - 13 = 0, 365 = -2*n + 3*q + 360. Find r such that 0 - 1\/9*r**3 + 0*r - 1\/9*r**n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.2 - -0.3. Let b = 6.28 + -6.38. Sort b, -0.5, w in decreasing order.\nAnswer: w, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 4*m - 29. Let f(w) = -w**2 - 20*w - 12. Let h be f(-19). Suppose 26 + 30 = h*a. Let q be g(a). Sort q, -0.1, 1 in decreasing order.\nAnswer: q, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1604252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 0 - 1 + 4 + k. Let z be j(-5). List the prime factors of 1*z + (-24)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 420214 + -55?\nAnswer: 420137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (29 + -8 + 16 - 8) + (2 - 12) - -8.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 10*v**2 - 3297*v - 20069. Determine p(-6).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of 4*b - 1\/2*b**2 + 14. What is t(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -216\/13 - -1200\/91. Which is smaller: r or -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.42858ml to litres.\nAnswer: 0.00842858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -78, 5\/6, -6, 13?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -17*b. Let i(q) be the second derivative of 5*q**4\/3 - 242*q. Calculate m(i(l)).\nAnswer: -340*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*z + 3)*(3 - 3 + 2*z) - 3 + 3 + z**2 - 24*z**2 + 627*z**2 - 56*z**2.\nAnswer: 544*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4948 + -4941. Let a = 2 - 2.2. What is the closest to -1 in 1\/2, m, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 2\/5 and -18219104 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 - (33\/55 - 12\/(-5)). Let y(t) = t**2 - t - 8. Give y(p).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j = -5*c + 25, -2*j + 3*c - 6*c + 16 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -30*h**2 + 653862*h*x**3 - 14468947*x**3 + 9*x**2 wrt h.\nAnswer: -60*h + 653862*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xkz when three letters picked without replacement from {z: 4, x: 2, t: 1, y: 1, k: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1322173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11\/236 + -12\/59. Let d = 1 + 1. What is the nearest to m in -5, 1\/2, d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 5*q + 12*q - 1)*(80*q - 52*q - 48*q).\nAnswer: -340*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -46 - -74. Suppose o = 10*y - 3*y. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 197806081.\nAnswer: 11, 1634761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 10*a**2 + 12*a. Let r(m) = -m**2 - m. Let t(i) = -12*r(i) - x(i). Let j(l) = 6*l**2 - 2*l**2 - 3*l**2. Determine j(t(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-16.51.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -4740*a**3 - 2*a**2 - 7*a + 92. Let w be s(12). What is w rounded to the nearest one hundred thousand?\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2. Let z be (-9)\/18*-2*2. Suppose z*y = -4 + 2, -5*y + 34 = 3*f. Let g(l) = -6*l + f*l - 12*l. Calculate g(v(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 866 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 5*o = -14, 0 = -3*g + 3*o - 2*o + 13. Solve -5*r - g = 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 45*m*x**4 - 665*m*x**2 + 5*m - 88*x**4 - 4*x**3 wrt x.\nAnswer: 1080*m*x - 2112*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 76.494 rounded to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1305\/63 + (-4)\/(-14). Suppose -189 = m - 10*m. Let z be (2 + (-35)\/m)\/((-1)\/(-441)). Calculate the greatest common factor of z and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1365 - -4?\nAnswer: -1361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -141*k**2 - 950 + 476 + 474 + (7*k + 7*k - 17*k)*(4 + 2*k - 4) - k**2 - k**2 + 0*k**2.\nAnswer: -149*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11018*n - 1107 = 10977*n for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 190247, 380463, 570677, 760889, 951099, 1141307?\nAnswer: 1331513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16440 + -16440.4. Let v be 6\/9 + (-4)\/2. What is the closest to 7\/4 in -2, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -4*u - 2, -2*u = -7*w + 4*w + 5. Let s be (-124)\/(-93)*u*3. Let k = -9 - -10. Which is the closest to k?  (a) 2\/9  (b) -3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**4 + 2312130*h**3 + 267756974705*h**2 + 106292745564180*h + 10567025540148980.\nAnswer: 5*(h + 199)**2*(h + 231014)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 + 7*q**2 + 7*q + 7. Let l be d(-6). Let z be (1\/6)\/(l\/4). Let v = 0.2 - -0.8. Sort z, v, -0.2 in decreasing order.\nAnswer: v, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0059111*0.212.\nAnswer: -0.0012531532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2328644\/1215 or 1916?\nAnswer: 1916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*c - 2*c + c**3)*(22*c - 16*c - 12*c) as t*c**4 + f + h*c**2 + y*c + a*c**3 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 - 7*f - 2. Let g be k(-4). Suppose -2*x + 0*x + g = 0. Suppose -4*a + x = -115. Calculate the greatest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -122982*m**3*n**3*p**2 - 5*m**3*n*p**2 - 2*m**2*n*p**2 - 131*m*n**3*p**2 + 20*m*n**3*p - 24*m*n**2*p**2 wrt m?\nAnswer: -737892*n**3*p**2 - 30*n*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/5 - 289\/(-680). What is the third smallest value in 0.4, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -232 - -237. Let i(z) = -5 + 11*z + 0 + y. Let u(k) = 5*k. What is i(u(q))?\nAnswer: 55*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1715*k - 1440*k + 5775 = 0 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 40, -2, -3, -4, 1.\nAnswer: -4, -3, -2, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 19*(-104)\/14820*(-25)\/4\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*(v\/(v**(5\/2)*v)*v)\/v*v)\/v**6)**(-15)*v**(1\/3)\/v*(v\/(((v**6\/v*v)\/v)\/v*v*v*v)*v*v)\/v*v*(v*v**4)\/(v*v\/(v\/(v*v**(3\/7)))) assuming v is positive.\nAnswer: v**(4007\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5*a*g*n - 254*a*g - 12*a + 7420*g*n - 10*g wrt a?\nAnswer: -5*g*n - 254*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 187 = 9*h - 56. Suppose 4*s - 7*s + h = 0. Let o(d) = -d**2 + 13*d + 1. Is o(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -323*s**3 + 868*s**2. Let j(u) = 2*u**2. Let k(x) = 6*j(x) + z(x). Find the third derivative of k(t) wrt t.\nAnswer: -1938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the first derivative of 14*c**2 - 2*c + 1. What are the prime factors of z(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -2, 31, -5, 103 in decreasing order.\nAnswer: 103, 31, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7)\/(-2)*(-48)\/(-4). Let a be -14*(-3)\/(-9 + 3). Find the common denominator of 30 and (-278)\/k + a\/(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 29*o**4*p - 489482*o**4 + 3*o**3*p**2 - 3*o**2*p**2 + 5*o**2*p + 3*o**2 - 33*o - 2*p + 158 wrt o.\nAnswer: 696*o*p - 11747568*o + 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -10*i**3 - 456116*i**2 - 5200953912*i + 2080454544 = 0. What is i?\nAnswer: -22806, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2)*(-50479 - 1687*j + 25243 + 25236 - 430*j).\nAnswer: -4234*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -49078b4 - -15?\nAnswer: -490789c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t + 6*t**3 + 34 + 5*t + 3*t**3 - 133*t + 19*t. Let a(w) = 28*w**3 + w**2 - 329*w + 103. Let z(f) = 2*a(f) - 7*h(f). Find u such that z(u) = 0.\nAnswer: -4, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -598*u + 2 + 38 = -593*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*x - 9*x**3 - 124*x + 142*x.\nAnswer: -9*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand i**5 - i**5 + 7*i**5 + (4*i**3 + 15*i - 15*i)*(27 - 27 - 12*i**2) + (1 - 1 + i)*(-2*i**2 - 3*i**4 + 4*i**2 + 1 + i**4).\nAnswer: -43*i**5 + 2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13150143.\nAnswer: 3, 1461127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-3\/7)*s\/(s**(-1\/14)\/s)*(s**(2\/5))**(3\/5))**(-37))**(9\/5) assuming s is positive.\nAnswer: s**(-219447\/1750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -5*x**3 + 2*x**2 + 5*x + 7. Let q be (-340)\/102 + 1 + (-2)\/(-6). What are the prime factors of n(q)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 13) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 34239, 34249, 34319, 34491, 34807, 35309, 36039?\n\"Answer: 7*n**3 - 12*n**2 - 3*n + 34247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = 11*x + 9*x. Solve 3*c - x*c + 3 = -2*b, 5*c = b + 24 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 + 3 - 3)\/2. Suppose -p + 10 = -4*f, i = f - 2*p + 6. Let y be (4\/f - -2)\/2. Solve y*g + 3*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -42?  (a) -0.1  (b) 0.5  (c) -1275\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*j + 8*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 631620336 to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -30*((-180)\/8)\/9. Let g = l + 124. Suppose -n - 53 = -g. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 = -33*s + 32 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1378193*n**2 - 1419539*n wrt n?\nAnswer: 2756386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qjq when three letters picked without replacement from jqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 + 3. Let l be y(-3). Let u(x) = 14*x**2 - 22 + x**3 - 3*x + 0*x + 4. Let v be u(-14). Calculate the greatest common divisor of v and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8573 + -4922. What are the prime factors of u?\nAnswer: 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -26*d**2 - 23*d**2 + 51*d**2. Let u(a) = 36*a - 7*a - 2*a. Calculate c(u(k)).\nAnswer: 1458*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 13*r + 238. Give k(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 2 k when three letters picked without replacement from kakkkkkakakkakkkakk?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 847564 is divided by 84738?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84 + 24 = 20*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -316 or -671?\nAnswer: -671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 247?  (a) 4  (b) -259  (c) 1\/56  (d) -1  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 + 143?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 7642692433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10332 + 13021?\nAnswer: 30013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 266018456 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*c*h**2 + 132274*c*h + 10*c - h**2 - 3*h + 19627 wrt h?\nAnswer: 4*c*h + 132274*c - 2*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of 4*g**3\/3 + 170*g**2 + 296. Suppose x(w) = 0. What is w?\nAnswer: -85, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 6 = -2*x, -w = x - 3. Suppose -5*n = -16 + w. Let q = 12 + n. What is the greatest common factor of 60 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h**2 + 4*h + 1. Let b(p) = 5*p**2 + 11*p + 2. Let w = -252 - -263. Give w*i(o) - 4*b(o).\nAnswer: 2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b**(-6\/11)*b\/(b*b\/(b*b**(3\/16)*b)))\/((b*b**(7\/3)\/b*b)\/(b\/b**1)) assuming b is positive.\nAnswer: b**(-365\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3388 and 5236?\nAnswer: 57596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 17321728 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(240)\/sqrt(4)*6*-3)\/(-5*1*sqrt(1200) - sqrt(1200)).\nAnswer: 9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 3*v - 4. Let i(g) = g. Let d(p) = 2*i(p) - t(p). Let w be d(6). Let f(z) = -10*z - 3. Let h be f(w). Solve 3*r + h = 2*a, 19 = 5*a - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 3*n. Let w(u) = 4*u - 1. Let c(r) = 5*h(r) - 4*w(r). Let l be c(0). Solve -6*k + l = -2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 2*w**3 - 2585*w**2 - 4*w. Let d(m) = -8*m**3 + 10348*m**2 + 17*m. Calculate -2*d(n) - 9*f(n).\nAnswer: -2*n**3 + 2569*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 21 and 85089478780.\nAnswer: 85089478801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 108309 and 312588?\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (44\/385)\/(8\/140*7)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -794?  (a) -4  (b) 1\/2  (c) -2  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence djbl when four letters picked without replacement from xxdvbvjxxxbxxbxxxvlx.\nAnswer: 1\/38760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1 + (-3 - 1 + 5)*(3 - 7 + 2) + 2 + 0 - 3)*(x**3 + 2 - 2) - 6*x + 6*x + 3*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -114 or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(209)\/(sqrt(33)\/(sqrt(3) + sqrt(15)\/sqrt(5))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 + -9. What is the closest to n in -4, 0.8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 247892 is divided by 606.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 70593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33799659 is divided by 450661.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2*r**3 + 3558*r**2 - r - 3573*r**2 + 14 + 5*r. What is the tens digit of k(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-1) - (-2 + -5). Let n be (p\/(-10))\/(3\/(-15)). Suppose -4 = 3*o + 5, 0 = 3*b + n*o + 21. What is the third smallest value in 0.5, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, u: 3, v: 3}. What is prob of sequence uum?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 2724\/((20\/(-48))\/((-30)\/54))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1346358 is divided by 371?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**3*q\/(q**3\/q))\/(q**11*q**0\/q) assuming q is positive.\nAnswer: q**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 5*a**4 + 8*a**3 + 8*a**2 - 8*a - 6. Let t(v) = 3*v**4 + 5*v**3 + 5*v**2 - 5*v - 4. Let b(c) = -8*t(c) + 5*w(c). What is the derivative of b(q) wrt q?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(68) - (sqrt(68) + -3))*5)**2*3.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3772, 6897, 10022?\nAnswer: 13147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 at most -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 - 167*c**2 + 893*c - 160. Determine v(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -14842.93249 to the nearest ten.\nAnswer: -14840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 3*o - 2*o + 5*k, -3*o + 5*k = -5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -28*h**4 + 23928*h**3 - 413856*h**2 + 1716552*h + 813564 = 0.\nAnswer: -3\/7, 9, 837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-6\/11)\/n*n\/n**(-2) assuming n is positive.\nAnswer: n**(16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1566 + 2629. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8874154 is divided by 150409?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -318*w - 14*w**4 - w**3 + 318*w + (2*w**2 - w**2 - 2*w**2)*(7*w - 7*w + 27*w**2).\nAnswer: -41*w**4 - w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of v**4\/6 - 2*v**3\/3 + v**2 + 3*v. Suppose 0 = -3*z + 12 - 3. Is s(z) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 10*k = 33. Calculate the remainder when -2 - 136\/6*k\/(-2) is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of -7*q**3\/3 - 10. Let b(j) = -3*j. Determine g(b(l)).\nAnswer: -63*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14302, 28626, 42950, 57274, 71598?\nAnswer: 85922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**2\/7 + 256*c\/7 - 4096\/7.\nAnswer: -4*(c - 32)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -62*x**3 + 39*x**2 + 4*x + 4. Let d(k) = -62*k**3 + 40*k**2 + 3*k + 3. Let v(m) = 4*d(m) - 3*f(m). Find the third derivative of v(w) wrt w.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002523178793 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 270\/(-60)*4\/9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/7, -1\/689, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 28*v**4 - 504*v**3 - 1856*v**2 - 1776*v + 16. Let f(o) = -5*o**4 + 101*o**3 + 371*o**2 + 355*o - 3. Let z(j) = -16*f(j) - 3*s(j). Factor z(h).\nAnswer: -4*h*(h + 2)**2*(h + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 5, m: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of r**5\/20 + 3*r**4\/8 + r**3\/6 + 3*r**2. List the prime factors of q(-6).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -8*x + 19. Determine y so that x + 9*y + 7*y**3 - 9*y + 10*y + 23*y**2 + 10*y = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -439*o - 831*o = 22*o + 657*o - 157869 for o.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189001 is divided by 8999.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + 0 = 5*g - 5, -2*f - 5*g = 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15119 - -21760. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 11*i - 796 + 827 - i**2 - i. Let h be n(12). Solve -2*q - 1 = h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, 5, 481 in increasing order.\nAnswer: 5, 11, 481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 7 - 15 = -w, -19 = -2*y - 3*w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 274379 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 704616.\nAnswer: 2, 3, 11, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 7 + -1 - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 75\/14 and 149\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 65*a. Let n(j) = 195*j. Determine 13*c(b) - 4*n(b).\nAnswer: 65*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2388104 and 191943859?\nAnswer: 1535550872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 165351 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, i: 1, p: 1, f: 1, l: 1}. Give prob of sequence lpib.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 8*t**2 - t - 7. Let h be s(4). Suppose -306 = -7*f - h. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wcyev. What is prob of picking 1 c, 1 y, 1 w, and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 3*c + 1032, 5*c = -2*s + 478 + 203. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 5*a**2. Let p(m) = 1115*m**2 + 2*m - 11. Determine p(l(n)).\nAnswer: 27875*n**4 + 10*n**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3540*t - 3505*t = 140 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 h, and 1 d when three letters picked without replacement from {x: 3, d: 10, o: 1, h: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 24205 divided by -168?\nAnswer: -24205\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-930)\/(-14) + 42\/(-98). Suppose 78 = 5*s + 8. Let h be (-2)\/(-7) + p\/s. Solve 3*m - h = 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9289961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tgn when three letters picked without replacement from {g: 2, n: 4, t: 2, u: 1, z: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 3\/405049?\nAnswer: 3\/405049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*w - 29 + 29)*(-120 + 64*w + 120).\nAnswer: 704*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.23 + -10.77. Let q = p - -7. Sort 0.3, -3, q in increasing order.\nAnswer: q, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1161 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -911*a + 1594 = 20725 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.038592774 minus 0.027?\nAnswer: -24.065592774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 - 5*z + 1. Let j be w(-4). Suppose g + 3*b - 20 = 1, 5*b = 5*g - j. Suppose 0 = 3*s - 3, p = -g*s + 2*s + 23. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -167 times -54.376?\nAnswer: 9080.792","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 408 and 3400.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6 or -21998514?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 1294300 to the nearest 10000.\nAnswer: 1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5948835967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -739 >= 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 - 7*n - 13. Let v be z(-5). Let i = v + -17. Let l = -21 - i. Which is the second smallest value?  (a) 2\/7  (b) l  (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 148439, 148220, 147999, 147776, 147551, 147324?\n\"Answer: -s**2 - 216*s + 148656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in two fifteenths of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - 6 - (-2 + 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/6*(-95475)\/8375*5\/1*-2?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjc when three letters picked without replacement from cjzjzccjjc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 25*l + 8*l**2 + 18*l + 10*l - 18. Is 10 a factor of f(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*k + 4 + 2*k + 0*k - k.\nAnswer: -9*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 456 is divided by 74?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 708 and 5820.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -23.988 + 24.3. Let z = y + -0.112. Which is bigger: -0.04 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 445*i*v**3 - 33*v**3 + 2 with respect to i.\nAnswer: 445*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/378548 and 2\/631701975.\nAnswer: 2526807900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -37824065*j*n**3 + 551*j*n**2 - 3*j + 2234*n**2 wrt n?\nAnswer: -226944390*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + 5*r - 3*r)*(226 - 447 + 209 + (0 - 2 + 0)*(2 + 4 - 4) + 3 - 1 + 1 + 4 + 2 - 4).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 7108315 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4866 - -4871. Suppose 4*h = 2*h - 14. What is the smallest value in h, -1, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 5*u + 3*w + 35 = 0, 5*u - 5*w = 45. Let h(d) = d**2 - 2*d + u - 3 + 2*d**2. Give h(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-38 + 64 - 24) + (11 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-20)\/15)\/((-1)\/3). Which is the second smallest value?  (a) i  (b) -4\/9  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3\/5  (b) 0.439  (c) -3\/7  (d) 14\/9  (e) 0.007  (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 AM and 6:04 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the first derivative of -2*b**3 + 4*b + 21. Let i be r(2). Let l be (0 - -20)*i\/(-10). Which is greater: l or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 744042 to the nearest one thousand.\nAnswer: 744000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 6*x - 4. Let p be (-4)\/18 - (-464)\/(-18). Let u = 53 - p. Calculate the remainder when u is divided by n(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1743286*o + 26112 = -1743798*o for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 16638694 (base 10) in base 9?\nAnswer: 34268887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/4488 and -169\/310794.\nAnswer: 1243176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 4:51 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 divided by -75?\nAnswer: -44\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12.1 - -2.4. Let o = u + 9.689. Let l = o + -0.289. Which is the second biggest value?  (a) -2  (b) l  (c) 1\/6  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i + 13047 + 7913 = 0. List the prime factors of i.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 316*u - 314*u + 6 = 0. Is 46 a factor of (50\/u - -8)\/((-1)\/33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/2  (b) -307  (c) -5  (d) 0.1  (e) 11  (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.048422 and -0.5?\nAnswer: 0.024211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, d: 4, u: 8}. Give prob of picking 1 e and 2 d.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p - 6. Let k(g) = 1. Let w = 14 - 10. Suppose w*t - 14 = -2*b, -3 = b - t - 4. Let d be -2*b\/((-24)\/4). Calculate d*u(j) + 5*k(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p + 2*p - 3*s - 100, 5*p - 4*s = 125. Calculate the greatest common divisor of p and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 258547 + 5*k**2 - 258547.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s**2 + 15*s - 38. Let j be m(4). Let u be 2\/j + 36\/5. Solve -5*o - 8 - u = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -256.6+35.313057\nAnswer: -221.286943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5123 - -2?\nAnswer: 5125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 4989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2160 and 834219?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11*11\/(3025\/50)*-5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/10 and (2 - 20466\/(-6848)) + (-21)\/3 + 2.\nAnswer: 17120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 52*g + 370. Let s be n(-7). Solve 606*z + s = 609*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*h**2 + 0*h**2 + 5*h**2 + (h + 0*h - 2*h)*(1 - 2*h - 1) - 14 + 191*h**2 + 13 - 188*h**2 - h.\nAnswer: 7*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 65840 and 98760.\nAnswer: 197520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 138519966 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 - -24 - (-4 + 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 AM and 10:57 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a - 2. Let v be (-16)\/72 - 29\/(-9). Let q be ((-8)\/(-6))\/(-4)*v. Let o(u) = u. Let r(n) = q*g(n) - o(n). Find the first derivative of r(c) wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of -21*o + 0 - o**2 + 1\/6*o**3. Give a(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y. Let o(b) = -5*b - 5. Let g(s) = o(s) + 2*v(s). Let q be g(-4). Solve -2*a = x - 3*a + 1, a - q = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (250*i + 13102 - 13102)*(0*i**3 + i**3 - 2*i**3 + (-2*i**2 - 5*i**2 + 4*i**2)*(i - 2*i - i)).\nAnswer: 1250*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**16*y**16)**(-1\/12) assuming y is positive.\nAnswer: y**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2. Let m(v) = -v**3 + 3*v**2 + 5*v - 5. Let a(g) = 3*i(g) - m(g). What are the prime factors of a(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -18 - -0.21.\nAnswer: -17.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*k**3*v + 24*k**3 + 40*k**2*v + 12*k*v wrt k?\nAnswer: -18*v + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 = -6*r + 7. Let z(u) = -27*u**2 - 14*u - 20. Let m be z(r). What is m rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1930737, 1930649, 1930563, 1930479?\n\"Answer: x**2 - 91*x + 1930827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = 3*s - 18, -75*b + 4*s - 24 = -79*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 55098252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 + 17*n - 2002. What is g(-54)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1069441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of -37*y**5\/15 - 15*y**3 - 403*y**2. What is the first derivative of w(s) wrt s?\nAnswer: -296*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -49, -0.06, 2\/5, 1, -0.05, 7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(25) + (-4*sqrt(150))\/sqrt(6))\/sqrt(5) + -4 - (6*sqrt(20)\/((sqrt(12) - (sqrt(12) - sqrt(12)*4))\/sqrt(3) + sqrt(4)))**2.\nAnswer: -56\/5 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -18\/7, -3 in ascending order.\nAnswer: -3, -18\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 50401106 + -42?\nAnswer: 50401034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-4\/7)*t**(1\/2))**50 assuming t is positive.\nAnswer: t**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 1 = 16. What is the second smallest value in m, 0.4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -675836 and -362.\nAnswer: 244652632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 11:58 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 - 22*s - 9. Let q be l(-17). Factor -15 - 56*k**2 - 33 + q*k + 28.\nAnswer: -4*(k - 1)*(14*k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*c**2 - 52495904*c - 17498636.\nAnswer: 4*(c - 4374659)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g = -6*f + 22, -f + 71 = 4*g + g + 184 - 70 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the third derivative of 89*j**4\/8 - 223*j**3\/3 - 641*j**2. Find the first derivative of g(c) wrt c.\nAnswer: 267","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 30 and 71586.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -5*f + 30. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 - 7 = b - 4*w, 0 = -b + 2*w + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -16 + 2 + (-143 - -149).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -208 equal to -1085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hoo when three letters picked without replacement from {o: 3, h: 9}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -6*m**3 + 10*m**2 - 16*m + 22. Determine f(3).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00575356 rounded to 5 decimal places?\nAnswer: -0.00575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 + 15*g**2 + 15*g + 19. Let l be j(-14). Solve 3*p = l*p - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - s - 569 = 0, 7*m - 3*s + 1695 = 4*m. Let n = 1092 + m. What is n rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.39058 - 102.50942. Let d = 546.8 + -606. Let r = d - p. What is r rounded to 0 decimal places?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, 3, -90 in increasing order.\nAnswer: -90, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30 and 34155?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4230 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1885 - -1890. Solve 4*h - 4*t = 8, 0 = 2*h + h - 4*t - b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -300 - -359. Calculate the remainder when 235 is divided by o.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10 + 109672\/504 - 3\/(-27). Is 227 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9408 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 4*s - 11 = 0, -12 = -3*c - 4*s + s. Let z be 8 + 3\/2*-2. Suppose l = -z, 3 = a + 2*l + 18. Put c, -3, a in decreasing order.\nAnswer: c, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 + 15*v + 10. Let x be k(13). Suppose -3*r + 2*r - 25 = -3*c, -5*c + x = 4*r. Let i(m) = -m**2 + 20*m - 8. Is i(c) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1451 + 1163. Which is greater: -290 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 7 + 4*g + 5.\nAnswer: 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 - 16 + 16 - 21)*(1 - 19*s - 14*s + 10*s).\nAnswer: 828*s - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-6)\/16)\/((-375)\/1200))\/(4\/(-150)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 31874 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/47 in -0.04, -2\/5, 3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27 + 33. What is the remainder when 2614 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 3\/329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 5 - 17*a**2 + 598*a - 598*a. Suppose -b = -k + 8, 5*k + b = -4*b. Let q(z) = -9*z**2 + 3. Let f(w) = k*s(w) - 7*q(w). Differentiate f(r) wrt r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 2) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6059 and 4891?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1440 divided by -96.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 35 - 24. Calculate the remainder when (-28 - 34)*2\/(-4) is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 66 + -35. Suppose -u = -4*h - 7. Suppose -3*z = -h*z + 21. What is the greatest common divisor of z and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, f: 3, m: 6, l: 8}. Give prob of sequence fmbb.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -253*v**2. Let p(k) = -15*k. What is p(m(h))?\nAnswer: 3795*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, 1, -15, -47, -101, -183?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 577 = 575. Calculate the lowest common multiple of l and 48.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3 or 156\/67?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 11:49 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 684 = -8*v. Let o be (v\/(-16))\/((-9)\/24). Let k = -17 + o. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-64)\/28)\/8 + 480\/(-35)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8597062kg to nanograms.\nAnswer: 859706200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 + 3. Let g = 2 + l. Let n = -5.04 - -0.04. What is the nearest to -2\/3 in n, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (22 - (-1 + -5)) + (1039 - 1126)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 5*m, 0 = -k - 3*m - 13 + 1. Suppose k*w = 12, 3*v + 3*w + 28 = 160. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 2, 352457 in decreasing order.\nAnswer: 352457, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 87\/8 and 708\/24 - -10 - (-1 + -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*k - k = 1632. Suppose -4*j = -4*x - 70 - 26, 10 = 5*x. What is the remainder when k is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b*b**4)*b*b**(6\/11))\/((b**(-4\/17)*b)\/(b*b*b**5)))**34 assuming b is positive.\nAnswer: b**(1414\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*c**2 + 2*c**3 - c**2 - 2*c - c**2 + (-2*c**3 + 5*c - 5*c)*(1267 - 350 - 703) in the form h*c**2 + k*c + g*c**3 + b and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12654434 and 4887.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 770014249 to the power of 1\/3, to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 3*i - 22 = -0*l, 16 = -4*i. Let g = 18 - l. Solve g = 3*z + z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.4 - -3. Which is the closest to f?  (a) 4  (b) -0.1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -58 + 3. Suppose 237 = 4*v + c, 2*v - 43 = c + 80. Suppose 2*g + 0*g - v = 0. What is the remainder when g is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 173 divide 10829800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 62465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 u, and 1 k when three letters picked without replacement from khuru.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-4))\/((-15)\/6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 183, 97, 13, -69, -149?\n\"Answer: i**2 - 89*i + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vjjvjv. Give prob of picking 2 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/5*(-11)\/(-66)*6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2474*n*u**3*v**3 - 2*n*u**2 + 82*n*u*v**2 - 11*n*u*v - 2*u**3 + 3*u**2*v**3 wrt u.\nAnswer: 14844*n*v**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11790, 23580, 35370, 47160, 58950?\nAnswer: 70740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 + 8*r + 7. Let u = 9504 - 9509. Calculate q(u).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*u = -22*u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000006553188 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 4 = -2. Let y be (-2)\/(c\/(-30)*-4). Suppose 0 = 4*b - y*f - 11, -11 = 5*b - 4*f - 27. Let j(l) = l**3 - 5*l**2 + 6*l - 5. Give j(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w**4 + 1 + 15*w + 4*w**4 - 35*w in the form d + j*w + f*w**3 + r*w**2 + l*w**4 and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**2 - 8*v - 5. Let y be h(-6). Let s = y + -5. Solve -4 = -t, 2*j - s*t + 10 = -0*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 0*j + 0*j + 448*j**2 - 447*j**2. Let o(s) = 38*s**2 + 2*s. Give o(q(m)).\nAnswer: 38*m**4 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does -58 = -0.03261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -874*c - 98*c - 112*c - c**4 - 58437*c**5 + 57498*c**5 - 171*c wrt c.\nAnswer: -18780*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 37*-0.247668\nAnswer: -9.163716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 5, -11, -29, -49?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -9, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -31166 take away 5?\nAnswer: -31171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -3 - 3 - (3 + 11 - 13)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000255445 to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1159 times -0.051?\nAnswer: -59.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1\/2, -1, -0.2 in decreasing order.\nAnswer: -0.2, -1\/2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-722 - -727)*((-2 - 0)\/(-1))\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 12 = -3*v, -v - 5*h = -5*v + 11. Let b(y) = y**2 + 2*y + 3. Let i be b(-3). Let w = i + v. Solve 0*u = -w*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -211 (base 8) to base 10.\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2299 = -2137*g + 2148*g. Calculate the greatest common divisor of g and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*i**5 - 185570*i**4 + 3709395*i**3 + 185570*i**2 - 3709400*i = 0. What is i?\nAnswer: -1, 0, 1, 20, 37094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 2*l + v + 41 = 0, -2*v = -10. What is the remainder when l is divided by (4\/(-3))\/(2\/(-18))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 30*n**2 + n + 1. Calculate the least common multiple of a(-1) and 7 + (-12 - -12) + 2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 11  (b) 1\/2  (c) 0  (d) 95  (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 981770.7l?\nAnswer: 981770700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3786?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:05 AM and 8:25 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 - 17. Let f be u(0). Let l = f - -78. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -945*c = 883*c - 694*c - 64157 + 11993 for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -6 + 10 - 7*m**2 + 6*m**2 + 6 + 8*m. Let j be f(7). Suppose -6*t = -13 - j. Solve 0 = -2*g - 5*y - t + 4, 4*y + 8 = -4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2087 - 938 + 437)*(4 - 3 + 0)*(3*o - 3*o + o) to n*o + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 22805 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222 is divided by 70?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -84784, -339217, -763300, -1357033, -2120416?\n\"Answer: -84825*q**2 + 42*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-46*c - 109*c - 8*c)*(-4*c + 3*c + 3*c) + (c + 4*c - 4*c)*(3*c + 0*c - c).\nAnswer: -324*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 36 + -51. Let y = -11 - i. Solve 2*j = y*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gpgpgg.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2 + 2*h. Let r(q) be the first derivative of q**3\/3 - q**2\/2 - 32. Give -2*a(t) - 5*r(t).\nAnswer: -3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1*0.8\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -6\/5  (b) 0.4  (c) -1  (d) 9  (e) -0.12  (f) -0.27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -3*x**4 - 6726*x**3 - 3056511*x**2 + 3063240*x = 0.\nAnswer: -1608, -635, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 147*p**2 + 6 + 7*p**2 - 2 - p as z*p**2 + g*p + y and give z.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22476414, -22476413, -22476412, -22476411, -22476410, -22476409?\nAnswer: -22476408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(2057)*3)**2.\nAnswer: 296208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, 392\/15, 5146, 6 in descending order.\nAnswer: 5146, 392\/15, 6, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3422343390.\nAnswer: 2, 3, 5, 41, 61, 45613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 2*o = 4. Solve -3*z - o = -1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3310 - -3334. Solve -b = -7*s - 38 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -44 + -617?\nAnswer: -65b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -11*r**5 + 4*r**4 - 6*r**2 + 4*r. Let k(t) = -t**5 + t**4 + t. Let x(n) = 4*k(n) - z(n). What is the third derivative of x(p) wrt p?\nAnswer: 420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 325627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 156150, 156027, 155904?\n\"Answer: -123*m + 156273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of 0*t**5 + 0 + 0*t**4 - 5*t + 0*t**3 + 1\/2*t**2 + 7\/15*t**6. Find the first derivative of v(b) wrt b.\nAnswer: 56*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4011 (base 7) in base 11?\nAnswer: -1045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w - 209 + 11 = 0. Calculate the highest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(833) + -1 - sqrt(833)) + (sqrt(17) - (1*sqrt(425))**2).\nAnswer: -425 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 232704, 465421, 698172, 930957, 1163776, 1396629?\nAnswer: 1629516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5006 + 21?\nAnswer: -4875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-4 + (2 + (sqrt(11) - (1 + sqrt(11))) - (1 + sqrt(11) + 1)))**2 - (-4 + 3 + sqrt(1100) + -3)).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -v + 3. Let h be -4*(-10)\/v*-1. Sort -3, -1, h in ascending order.\nAnswer: h, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 7*n**3 + 2*n**2 - 12 + n**2 - 25*n - 6*n**3 + 16*n. Let c be g(-4). Solve 4*w + c = -2*y + 6*y, w + 4*y = 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + 4\/(-10) - 1254\/15. Let i = t - -69. Sort i, -2, 2 in decreasing order.\nAnswer: 2, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + (-1 + sqrt(80))*-3 + sqrt(80) + -1 + 0)*-3 + -3)**2.\nAnswer: -720*sqrt(5) + 3105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9732 and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 32\/5 of a microsecond?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-7\/11)\/v)\/v**20 assuming v is positive.\nAnswer: v**(-238\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*r = 6*r + 128 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4.9735 + -4.9415. Let b = 0.3 - 0.2. Which is smaller: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 3, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/5)\/((-1)\/60). Let v be 21\/6*w\/(-14). Let t be (20\/v)\/((-10)\/15). Let l(z) = z**3 + 4*z**2 - 6*z - 4. Give l(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -25*s**3 + 7*s**2 - 2*s - 12. What is the tens digit of d(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*t - 4*z - 54 + 53, 0 = 4*t - 4*z - 28 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3819831, -7639637, -11459443?\n\"Answer: -3819806*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -328*v**3 - 2*v + 1047. Let s(x) = -165*x**3 - x + 523. Let f(l) = 4*o(l) - 7*s(l). Find the second derivative of f(j) wrt j.\nAnswer: -942*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + 4*w - 12, -5 = m - 3*w + 8. Let f(j) = 2*j - 2. Let o(l) = l**2 + l - 1. Determine m*o(v) - f(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -766*k**2 + 1222*k + 19*k**2 + 126*k**2 + 266*k**2 - 152*k wrt k.\nAnswer: -710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 211\/972 or -0.3?\nAnswer: 211\/972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add 1 and 284037.61.\nAnswer: 284038.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -11*s + 24. Let l be a(2). Suppose -u + l = -2. Calculate the smallest common multiple of 98 and u.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 30488.86317 + -30489. Round z to three decimal places.\nAnswer: -0.137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the first derivative of -y**3\/3 - 49*y**2\/2 + 97*y + 3208. Give j(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6 - -3c?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 379519 - -565254. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 278 + 52 = 2*l. Let t = -62 + l. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -56340717?\nAnswer: 1\/56340717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1867660*a**5*h - 70*a**5 + 169*a**2 - 2720*a - 60*h wrt a?\nAnswer: 112059600*a**2*h - 4200*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 197\/(-3)*(-18)\/(-1394). Let f = -140593\/17 + 8271. Let p = f + b. Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2\/4 + 246*j + 996.\nAnswer: -3*(j - 332)*(j + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 PM and 1:03 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 44*j - 223*j + 17363. Solve -j*h = -102*h + 4*r - 16, r = 5*h + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28503697 to the power of 1\/2, to the nearest integer?\nAnswer: 5339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvvvavvvvvvvvv. What is prob of sequence av?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by 54281.\nAnswer: -6\/54281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 b when three letters picked without replacement from {b: 4, k: 1, o: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1790*i**5*s**3 - 918*i**3*s**3 + i**2*s**3 + 829228*i**2*s + 2*i**2 + 7*s**3 wrt i?\nAnswer: 107400*i**2*s**3 - 5508*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -10\/7, -0.3, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5091771?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2312040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 647244?\nAnswer: 647244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-40)\/(-120))\/(28\/8)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uk when two letters picked without replacement from bqkkfkkkukkk?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/47 and 0.15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 484*b - 23. What is the remainder when a(1) is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 993*o + 11225. What is n(-11)?\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/4*(-7 + 11). Let n = b + -6. Solve -3*h - 2*d + 3*d - 5 = n, 0 = -5*h + d - 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -657802, -1315604, -1973406, -2631208, -3289010, -3946812?\nAnswer: -4604614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 25 = -4*s, 2*s + 8 = -4*q - 3*s. Let d = 15 - q. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11377745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 49*b - 51*b + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3716141\/3 not equal to 1238714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1684340 divided by -3710?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from drduuludclullcucccul. Give prob of sequence ll.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 978 + 2896*j**3 - j - 1945 + 967.\nAnswer: 2896*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 21 = 5*t, -2*t - 3 = -3*p - 7*t. Let s(n) = -n + 1. Calculate the least common multiple of s(-1) and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 - 2*b**2 - 4*b - 4. Let x be s(-4). Let p be (21 + -16)\/(3\/(-24)). Let l = x + p. Solve -1 = -l*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 197147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 3 f when four letters picked without replacement from fcfcccffcfccff?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 70*i**4\/19 - 1686*i**3\/19 - 1736*i**2\/19 + 3432*i\/19 - 800\/19 = 0.\nAnswer: -2, 2\/7, 4\/5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -14 (base 6) to base 16\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/6 - 9\/((-324)\/36240). Let y = m + -684. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 7 = 79*b - 412. Sort b, 36, -5, 4, -16.\nAnswer: -16, -5, 4, b, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (247560\/32)\/((-162)\/(-216)).\nAnswer: 5, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -3*u - 17. What is v(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.39363, 1, 2\/5, -0.3, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3222839 is divided by 149.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 3*d**2. Let n(z) be the first derivative of 7*z**3\/3 - 71*z - 68. Let y(l) be the first derivative of n(l). Calculate y(f(s)).\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -p**2*v**3 - 189*p**2*v**2 + 92*v**3 + 2*v**2 wrt p.\nAnswer: -2*p*v**3 - 378*p*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6288 divided by -84552.\nAnswer: -262\/3523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4*3*3\/6. Let f(u) = u**3 + 7*u**2 + 4*u - 4. Let l be f(x). Suppose l*i = 3*i + 65. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a hour in seconds?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (15\/(-10) + 3)\/(-3). Which is the nearest to 1?  (a) w  (b) -5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-33 - 52 - 63 - 150)*(-5*d**5 + 2*d**5 + 14*d**5).\nAnswer: -3278*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3225, 6474, 9725, 12978, 16233, 19490?\nAnswer: 22749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 175427, 175421, 175415?\n\"Answer: -6*c + 175433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/3)\/(28\/(-42)) - -3. Calculate the highest common factor of a and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -55 + -6689453\nAnswer: -6689508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -19*h - 8. Let i(q) = 56*q + 26. Calculate 10*g(d) + 3*i(d).\nAnswer: -22*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1))**(-2\/5)\/(g**(1\/4))**(-46))**(-4\/9) assuming g is positive.\nAnswer: g**(-238\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 65495920668007\/14554 + -4500200680. Let r = -40\/383 - f. What is the common denominator of r and -119\/30?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccppccpppppppppc. What is prob of sequence pc?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 494026?\nAnswer: 2, 13, 19001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 244 and 6344?\nAnswer: 6344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 183, 164, 127, 66, -25, -152?\n\"Answer: -n**3 - 3*n**2 - 3*n + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6b3 (base 15) to base 6.\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*q**2 - 9*q**2 - 2 + 4*q + q**3 - q**4 - 15*q to the form n*q**3 + g*q + z + b*q**4 + a*q**2 and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 626062?\nAnswer: 2, 313031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 less than or equal to -403086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-151940)\/(-12638) + ((-196)\/623)\/14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 7, d: 4}. What is prob of picking 3 j?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 774.680624 - 809.6806. Let g = 366 - 401. Let z = g - a. Round z to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the first derivative of -25*s**2 - s - 8639. What is m(-1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 5*s**2 - 21*s + 6. Let h be g(4). Solve i - 3*x = -1, -4*x + 0 - h = -3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*t + 24*t - 100 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 13 = 3*a - 1, 5*y + 17 = -2*a. Let z = 0 + -1. What is the tens digit of 48\/9*y\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9560907 is divided by 2137.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -9 + 0 + (2 - 0). Let t be ((-2)\/3*2)\/(u\/(-21)). Let k = 1\/151 + 293\/1359. Which is the nearest to -0.2?  (a) k  (b) 5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -116, -2, -1\/3, -5, 5 in decreasing order.\nAnswer: 12, 5, -1\/3, -2, -5, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 - 5*u + 17. Let x be b(7). What is the greatest common divisor of x and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 161295, 322575, 483853, 645129?\nAnswer: 806403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 10266282, 20532561, 30798838, 41065113, 51331386?\n\"Answer: -y**2 + 10266282*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 146806, 293608, 440400, 587176, 733930, 880656, 1027348, 1174000?\n\"Answer: -c**3 + c**2 + 146806*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 27690000 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 29688 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4825853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -8) + (-308 - -295).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 566 is divided by 253?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 67 + -84. Let s(n) = -19*n + 91. What are the prime factors of s(v)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 + 4*r**2 + 2*r - 3. Let n be g(-3). Let x(i) = n + 3*i - i + 0. Let h(o) = -2*o**2. Determine h(x(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 25.8, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -73 + 88. Solve 4*y = 2*c - 0 + 18, 5*c = -w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3 + 5*n**2 - 4*n - 3. Let r be k(4). List the prime factors of 12\/9 - 2\/r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 688*i. Let g(v) = -3*v. Calculate 645*g(q) + 3*t(q).\nAnswer: 129*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1427125 is divided by 164?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 - 9*w + 5. Let p be 4 + (-16)\/2 - -18 - 2. Suppose -p*v - 2 = -2. Suppose -3*s + 0*s + 3*i = -18, 3*s - i - 24 = v. What is j(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2089.1763 - -2089. Round k to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0795073 * -3.5\nAnswer: -0.27827555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 517262904 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1bcc2 (base 13) in base 14?\nAnswer: 16026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92503*j = 4*k + 92504*j - 8, 4*k - 51 = -52*j + 18*j + 221 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.4 - 0.7. Let q be (4 - 53)\/((-180)\/51). Let z = 55\/4 - q. Which is the second biggest value?  (a) m  (b) 2  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 596 or -234\/11?\nAnswer: -234\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/7 + (-12)\/(-42). Suppose -2*f + 23 + 5 = n. What is the remainder when f is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - u + 7 = 0, 4*z + z - 10 = -3*u. Let r be z\/(2*(-3)\/18). What is the second derivative of -p - r*p**4 + 2*p**4 + 3*p wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.2, 28, 0, 0.1127, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 44*o - 20. Let k be m(-18). Is 34 a factor of (1\/((-4)\/k))\/1 - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -4*s - 2. Let p(o) = -6*o - 7. Let c(h) = -h**3 + 9*h**2 + 2*h - 19. Let b be c(9). Let k be p(b). Determine r(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 206 = -136*z - 5772 - 142 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 32 + -20. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11\/182705, -0.48, -0.5 in descending order.\nAnswer: -11\/182705, -0.48, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -109*l**3 + l**2 - 2*l - 2. Let q be z(-1). Let v be (1*24\/q)\/((-6)\/15). Let c = 21\/22 - v. What is the third biggest value in 2, -0.4, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1)\/(v*v**(7\/3)))\/(v\/v**2*v*v\/(v**(-2)*v)))**(-2) assuming v is positive.\nAnswer: v**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/8695, 2\/5, -1\/7, 3, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**2 + 8*n - 5. Let k be o(-9). Suppose -20 = 4*s - 0*d - 2*d, 3*s - d + 14 = 0. Sort s, k, -2.\nAnswer: s, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 0.3, -2\/7, 4, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 186952911 is divided by 695.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 9206, 18438, 27702, 36998, 46326, 55686?\n\"Answer: 16*f**2 + 9184*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 14 - 66. Suppose x = 5*r + t, 6 - 13 = -5*x - 4*r. Suppose -4*l = -3*k, x*k = -k. Solve 2*o + l = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the first derivative of -7*q**4\/12 - 2*q**2 + 4*q + 7. Let v(d) be the first derivative of u(d). Differentiate v(p) wrt p.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(612) + -5 + sqrt(612)*-2 - sqrt(612)) + sqrt(612)*-1 + -4 + sqrt(612) + sqrt(612) + -1 + 2 + -1 + sqrt(612) + 0)*-3)**2.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*h**3 + 10836*h**2 - 226714*h + 215880 = 0. Calculate h.\nAnswer: 1, 20, 5397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 l, and 1 v when three letters picked without replacement from {v: 1, p: 2, c: 1, a: 6, l: 1, r: 5}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 192 is divided by 93?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 450*h + 1800. Let t be j(-4). Let d(b) be the first derivative of t*b - 2*b**5 + 0*b**2 - 8\/3*b**3 + 6*b**4 + 19. Factor d(l).\nAnswer: -2*l**2*(l - 2)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 173*h**3 - 31694*h**2 - 42310065?\nAnswer: 519*h**2 - 63388*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 34 - 38. Let m = b + 4. Solve -5*o - 3 - 22 = m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -5*x - 36. What is q(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*w**2 - 583160*w + 583165 = 0. What is w?\nAnswer: -116633, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 443 divided by 3.\nAnswer: 443\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 86\/86*(-280)\/(-40)*(-12)\/154?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -177 + 314 + -140 + (1 - (0 + 2)) + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -3*s**2 + 88*s - 11. Let b(z) = -2*z**2 + 63*z - 7. Let i(o) = -7*b(o) + 5*u(o). Let q = -16 + 16. Give i(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + -1144?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 + 7*r**2 + 31*r - 9. Let l be d(10). Let h be (1 - 4) + (-75)\/(-21). Let p = 3 - 8. Which is the nearest to 0.1?  (a) h  (b) p  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -440 - -210?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 2 o when three letters picked without replacement from {h: 1, o: 2, x: 2, t: 4, w: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1669235 by -87.\nAnswer: -1669235\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1082988 = 3*n + 4*l, -4*l - 1804988 = 3*n + 2*n. Round n to the nearest ten thousand.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**2 + 3*y - 2. Let t be p(3). Let v be (6 - t\/(-1))*1. Suppose d + d = v. Put -0.1, 0.5, d in ascending order.\nAnswer: -0.1, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + 4. Let w = -5 - u. Let h = -116313 - -232625\/2. What is the nearest to 0 in h, 4, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*t - 168 - 4*t + 278 + t - t**2 - 326 + 2*t**3 as v*t**2 + r*t + n + d*t**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 3*d - 18 = 0, 3*w - w = 4*d - 10. Suppose 5*n - 135 - 610 = -4*r, -w*n = 2*r - 373. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/12)*h*h\/(h**(-6)\/h))**(-26) assuming h is positive.\nAnswer: h**(-1391\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 254837838 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5913978?\nAnswer: 2, 3, 7, 19, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 698 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27457477 or -27457483?\nAnswer: -27457483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -981 divided by 1?\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1062 + -712. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2062 + -0.24.\nAnswer: -2062.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6967894028 - 80311946683921\/11526. Let v be (-4)\/3*12\/15368. Let o = v - r. What is the common denominator of -61\/15 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/20)\/((-2)\/5). Suppose -4*u + 2*r = -4, -3*u - 4*r + r = 6. Which is greater: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7051.\nAnswer: 11, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + -3. Let b = x - 1. Let o = b + 6. What is the third biggest value in -1\/5, 0.5, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 105 = -19*b - 103 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28781 is divided by 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 628146853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 54912 and 76934?\nAnswer: 14771328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 + 4*c**3 + (-2 + 2 - c**2)*(2*c - c + c))*(-3*c**2 - 3 + 3).\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**5*d)**(-38\/3) assuming d is positive.\nAnswer: d**(-266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -36\/31 + 841\/217. Let z = 239516 - 2167756\/9. Let k = -1344 - z. Calculate the common denominator of k and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (15\/(-4) - -3)*8. Suppose -2*t = -2*u, -5*t - 2*u = -0*t - 14. Let q(p) = -50*p**2 + 5 - 3 - 5*p + 49*p**t - 2*p - p. Determine q(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2238536 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00763 rounded to four decimal places?\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100001110 - 11?\nAnswer: -10100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 55 = 35 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2290573, -2290572, -2290571, -2290570, -2290569, -2290568?\nAnswer: -2290567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 207404 and 4?\nAnswer: 207404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/8 + (9 - 12)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 1 = -48*r, 3*g + 8*r - 4*r - 3 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1078827.\nAnswer: 3, 43, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3594 is divided by 1411?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61073573.\nAnswer: 11, 751, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8300.1 + 5259.11. Let d = n + 3026. What is d rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 32 and 5156?\nAnswer: 41248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*z**4\/3 - 705485*z**3\/3 + 999350*z**2 - 3527020*z\/3 + 705400\/3 = 0. What is z?\nAnswer: 1\/4, 2, 35270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 10  (b) 38  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f**2 - 13*f**2 - 6*f**2 - 12*f**2 + 66*f**2 - 10*f**2 - 24*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -6, 2, -2, 24.\nAnswer: -6, -4, -2, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.217 + -0.907. Let i = 0.124 + o. Which is bigger: i or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + 42 - 0. Let y = 18 + 91. Let c = y - 53. Calculate the greatest common factor of v and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (31 - 16 + w + 3*w**2 - 16)*(-3*w**2 + 0 + 0) in the form d*w + u + y*w**2 + q*w**4 + l*w**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55862.75nm to meters.\nAnswer: 0.00005586275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*t**3 + 0*t**3 - 3*t**3)*(233 - 110 + 461) + 0*t**3 - 4*t**3 + 0*t**3 in the form n*t**2 + m*t + r*t**3 + z and give r.\nAnswer: 1164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 2421, 4840, 7259, 9678, 12097?\nAnswer: 14516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1066.9 - -1065.9. What is the fourth biggest value in 1\/21, p, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 657*b**2. Let w(p) = 4*p**2. What is t(w(m))?\nAnswer: 10512*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - 36*d**2 + 32*d + 107. Let w be a(35). Let u(l) = -l + 3. Let i(t) = t + 1. Calculate w*u(b) - 6*i(b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8136 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/15432419 and -41.\nAnswer: 15432419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -2*b**3 + 26*b**2 - 61*b + 451. Calculate y(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1499000 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -231.\nAnswer: -115.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4546.9 + 4917. Let r = 394 - z. Let k = -24 + r. What is the third biggest value in k, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 2*w + 34 = 0, 0 = 3*k - 3*w + w - 46. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from auekeweudaew. What is prob of picking 2 u and 1 w?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 2 - 3)*(4*t**4 - 5*t**4 - 3*t**4) + t**2 + t**2 + 2 - 2*t**4 - t**2 to p*t**4 + x*t + h*t**3 + d*t**2 + q and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -20, 4, 50, 124, 232, 380, 574, 820?\n\"Answer: p**3 + 5*p**2 + 2*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -97 or -35224?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, -0.2, 0.4, -7324, -11?\nAnswer: -7324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 191, 5, -28, 12, 3.\nAnswer: -28, -1, 3, 5, 12, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -3*q - 2. Let i be (-7 - -13)*(-6)\/(-18). Let f(w) be the third derivative of 0*w - 3*w**i + 0 - 1\/24*w**4 + 0*w**3. Calculate 2*f(m) - u(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -13*r. Let i(w) = -32*w - 659 + 659. Determine 12*h(k) - 5*i(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -248 - -381. Suppose -x*s = -138*s + 10. Let k(z) = 5*z**2 - z + 2. Calculate the remainder when k(s) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 22767 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 305 + -663. Let x = o - -401. What is the remainder when 126 is divided by x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 624, 909, 1146, 1311, 1380, 1329, 1134, 771?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 483 and 6210?\nAnswer: 43470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 11*o**2 - 6*o - 4. Let q(d) = 5*d**2 - 3*d - 2. Suppose -5*m = -18 - 2. Let p(w) = m*x(w) - 9*q(w). What is p(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(154)\/sqrt(7)*2)\/((sqrt(11) + sqrt(11) + sqrt(99) + sqrt(11))*-2))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 4 + (-19 - -18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24297845189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the second derivative of 2*m**3\/3 + 762*m + 2. Let l(u) = -1038*u. Calculate r(l(n)).\nAnswer: -4152*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 4)*(121*n + 169*n + 42*n)*(2*n**2 - 2*n**2 - 2*n**2).\nAnswer: -1328*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-277)\/(398880\/(-128)))\/((-10)\/27).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 3 - 3*u**2 - 2 + 6.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**5 - i**4 + i**3 + 2*i - 1. Let b(o) = 13*o**5 - 53*o**4 + 22*o**3 - 3*o**2 - 6*o + 3. Let r(a) = -b(a) - 3*p(a). Determine l, given that r(l) = 0.\nAnswer: 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/25*(-23)\/(322\/(-105)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -33 + 39 - -1*2*-1. Solve -f*z = o - 5, -5*z - 2*o = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 4*h**3 + 5*h**2 + 6*h - 1. Let x(n) = n**3 + n**2 + n. Give -j(y) + 5*x(y).\nAnswer: y**3 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-1)*24\/(-384)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 360205 and 705?\nAnswer: 50788905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 - 14*j + 18. Suppose 4*v + 64 = -w, 3*v - 5*w = -24 - 1. Let c be r(v). Suppose -7*g + 128 = -c*g. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1940*o**2*q*z + 9*o**2 + 4*o*q**2*z - 722*q**2 wrt z.\nAnswer: 1940*o**2*q + 4*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 7942, 8084, 8318, 8644, 9062, 9572?\n\"Answer: 46*v**2 + 4*v + 7892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 60 and 76315373034.38.\nAnswer: 76315373094.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (19\/4 - 0) + (-10)\/(-40). Let y(h) = 3*h - 13. Let w be y(x). What is the hundreds digit of 2\/(-8)*w - 414\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/14 + (-18290)\/(-70))*341\/93. What is the greatest common divisor of p and 348?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/50 + 95\/375. What is the nearest to -2\/3 in f, 0.84, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26592*r + 7684 = -26524*r for r.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 3*d - 12. What is the lowest common multiple of d and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from oioooiiiqqh.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -155\/21 + 5\/7. Let d = 49\/6 + i. Which is the closest to 1?  (a) 3\/4  (b) d  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27 + 25. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10974956*i**3 + 152397714*i**2 wrt i?\nAnswer: 65849736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c + 1255*c**2 + 17*c - 9*c - 6*c + 793*c**2.\nAnswer: 2048*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 + 6*c**2 - c + 7. Suppose 2*p - 59 = -5*k + 14, -3*p = 3*k - 42. What is the remainder when u(5) is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 0.5, 3\/2, -15.9 in increasing order.\nAnswer: -15.9, -7, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2321330 - -112?\nAnswer: -2321213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.31921 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.08 + 180758847.\nAnswer: 180758846.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000002899299 to seven decimal places.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -956*r + 43520 - 4743 + 55772 = 83*r for r.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h**3 - 72*h - 61*h - 31*h - 72*h + 236*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 29411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 27043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*s**3 - 233 - 1043*s**2 + 229 - 271*s**2.\nAnswer: -5*s**3 - 1314*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.4  (b) -3  (c) -18\/95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(85)\/sqrt(5)*-1)**2*-6 - (sqrt(170) + (sqrt(170) - 1*sqrt(170) - sqrt(170))*2)\/(sqrt(20)\/sqrt(8))) + 2.\nAnswer: -916 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + -1. Suppose -z*u = -3 - 1. Suppose 9 = -u*p + 5*p. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**2 + 14*z - 23. Let y(r) = -14*r + 22. Let f(g) = 2*q(g) + 3*y(g). Factor f(j).\nAnswer: 2*(j - 5)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 3:08 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44694492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*k - 61*k - 6 = -l, 3*k = -3*l. Let h(u) be the first derivative of 16\/15*u**6 + 4\/3*u**l - 13 + 33\/10*u**4 + 1\/5*u**2 + 0*u + 16\/5*u**5. Factor h(t).\nAnswer: 2*t*(t + 1)**2*(4*t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9352069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 2. Suppose 4*j + y*j - 172 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2 - 3)*(0 + 4 + 0 + (0 + 3 - 1)*(2 + 1 - 2))*(b**3 - 2*b**3 + 3*b**3) to the form q + c*b + z*b**2 + l*b**3 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(2) - sqrt(200)*-3) + (-1 + sqrt(72) + sqrt(2) - (5 + sqrt(8)\/sqrt(4))))**2.\nAnswer: -74*sqrt(2) + 2739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 22\/3 + (-4)\/(-6). What is the remainder when z*-2*(-1)\/4 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -18*(128\/(-84) - (-7)\/(-49)). Solve d = -11*h + h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*c - 13 - 5. Let s(l) = -3*l + 8. Let a be s(c). Let n = a + 5. Solve t + 26 = -5*u, n*u + 28 = -u - 3*t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27.6783mg to nanograms.\nAnswer: 27678300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 0, -o + 14 = m + 2*o. Suppose 3*a - 18 = -3*g, 5*a - 3 + 1 = 2*g. What is the highest common factor of a and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100*r + 33*r + 20*r + 42*r + 29*r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*o - 19*o - 64. Calculate the remainder when o is divided by 28.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 4 = -5*g - 13, -4*g - 4 = 0. Let d = -1 - b. Let q(l) = -58*l + 1217. Let f be q(21). Sort f, d, 4 in ascending order.\nAnswer: f, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 391055.000128 - 391010. Let r = 45 - c. Round r to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 9*z**2 + 7*z**3 + 3312 - 3310 + 3*z**3. Let w(t) = 9*t**3 + 8*t**2 + 2. Give -6*i(k) + 7*w(k).\nAnswer: 3*k**3 + 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 3*i - 4*k - 113 = -5*i + 2*i, -4*i + 92 = -4*k for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (27 - -3)*(-49)\/147.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2*f**2 - 62*f + 164. Let v be k(34). Calculate the greatest common factor of v and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 96 = 14*r - 19*r, -4*r + 2*r = -199*h + 4776 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**3 - 30*h**2 - 67*h + 48. Calculate u(32).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of 5*b**4\/12 - 70*b**3\/9 + 92. Factor h(f).\nAnswer: 5*f**2*(f - 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 30*u**2 + 2*u + 305. Is g(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -41827\/8 - -5220. What is the common denominator of s and (-772)\/576 - (-4)\/(-18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 25 - (41 - 16)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7842872344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -16*j. Let w(g) = -11*g. Let l(f) = 5*f. Let q(p) = 5*l(p) + 2*w(p). Let b(u) = -33*q(u) - 6*y(u). Let t(c) = -4*c**2. Calculate b(t(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -622 - -124.\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(6\/5)*w)\/w**(-3)*w**(-3\/5)\/w**(2\/7) assuming w is positive.\nAnswer: w**(151\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1270168503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4032 + -2043242?\nAnswer: -2034210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + s - 26 + 12 - 25 in the form u*s + y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -25 - 235?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 11*w = 0. Let k be (w*(-4)\/12)\/(-3). Solve 3*g = -k*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1758.3528 times 0.14?\nAnswer: 246.169392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2421213.\nAnswer: 3, 807071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 535699.\nAnswer: 79, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.4  (b) -52  (c) 6  (d) 0.3  (e) 2620  (f) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 3189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 4*t + 16, l + t = -4 + 15. Let r = 16 - l. Let -3*s + 0*s - r*s**2 + 46 - 45 = 0. Calculate s.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 + 3*s**2 - s + 3. Let k be x(-3). Suppose k + 6 = 3*y. Suppose 3*d = 4*r - r, -2*r = y*d. Does r = 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*n - n + 30 = 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1100) - (sqrt(1100) + 1 + sqrt(1100) + 1)) + -3*(0 + sqrt(1100)) - -2*(-4 + sqrt(275)*-1))**2.\nAnswer: 1000*sqrt(11) + 27600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 60*n**5 + 14007*n**4 + 4*n**2 - 417217*n + 1 wrt n?\nAnswer: 3600*n**2 + 336168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.120133069 rounded to 3 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8719 - 8719. Let j = -74 + 155\/2. Which is the third smallest value?  (a) 2\/11  (b) j  (c) 2\/9  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 199949 is divided by 294?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 377930633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 376.9777 years?\nAnswer: 0.3769777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10105, -24, -5 in increasing order.\nAnswer: -24, -5, 10105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 0.68.\nAnswer: 2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 48\/4533341 and -16\/9183?\nAnswer: 13600023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -31 - (27 + -26 - 179). Factor -1\/3*j**2 - m - 14*j.\nAnswer: -(j + 21)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 - v**2 - v + 52. Let r be d(0). Suppose 0 = 4*g - 0*g - r. What is the remainder when 36 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*b = -26*b + 20. Let i(o) = 1 - b + 1 + 5 + 2*o. Let v(n) = -4*n - 4. Calculate 5*i(x) + 2*v(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/47 or -2025906?\nAnswer: -2025906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 161 is divided by 64?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11405212 - -1?\nAnswer: -11405211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*m**2 + m**3 + 60*m**2 - 107*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1307878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 20497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/2)\/((-14)\/(-28)) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 456089?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 34214 - 3?\nAnswer: 34211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*d + 3 + 5*d + 2*d.\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*w - 220 = -215 + 779 + 48 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8831 is divided by 2205.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1372 - 1373. What is the biggest value in 1.55, 0.3, i?\nAnswer: 1.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202221010 (base 3) in base 10?\nAnswer: 15258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (78\/(-18))\/(1\/3). Let w = 16 + b. Solve -w*x + 31 - 10 = -3*n, -2*n - 17 = -3*x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27586.6ng to tonnes.\nAnswer: 0.0000000000275866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 54729*p - 6344*p + 17770*p + 35. Let c be v(3). Round c to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 - 112*y**2 - 218*y - 99. Let t(v) = -v**3 + 337*v**2 + 653*v + 299. Let f(m) = -8*b(m) - 3*t(m). Suppose f(a) = 0. What is a?\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*l + 80 = 11*l. Let n(a) = -2*a + 20. Let o be n(l). Calculate the highest common factor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 151450654 - -6?\nAnswer: 151450663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5609 and 711?\nAnswer: 50481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(5) + -2)*6 - (-5 + sqrt(25)\/sqrt(5)) - (sqrt(80) + 1 + 1 - sqrt(80))**2*-1) + 3.\nAnswer: -15*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 89430 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 PM and 2:52 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -23302 + 3?\nAnswer: -232cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 0 = 4*n. Let o = n + -7. Is 0 + 16 + (o - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5683 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.08928 and -22.\nAnswer: -1.96416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 30594456 to the power of 1\/2, to the nearest integer?\nAnswer: 5531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 + 10*c**2 + 6*c - 3. Let k be (24\/20)\/((-1)\/5). Let p be k*(15\/6 + -1). Is u(p) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000030113068 rounded to 6 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -68*v**2 - 1. Let d(k) = -262*k**2 + k - 4. Give -3*d(z) + 11*g(z).\nAnswer: 38*z**2 - 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1052315 = 89*n - 10790. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 738, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + 81\/(-18) - -1.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 4*a**3 - 2*a**2 - 2*a + 1. Determine t(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 20996*g - 45907*g + 0 + 21701*g to w*g + o and give w.\nAnswer: -3210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -64 + 116. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26556040 (base 7) to base 5\nAnswer: 1111413411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -85 + 90. Suppose 3*o + x*o = 56. Solve o = -2*k - 3*j, -k + 2*j + 2*j = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*350\/(-1456)*-13.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3377\/(-1320) - 20\/(-16) and 119\/12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 292270 to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -14677 and -2?\nAnswer: 29354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 171*x + 7. Let f be q(3). Round f to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -2*b**2 - 17*b - 32. Calculate f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 1 + (0 - 2 + 0)*(0 + 3 - 2))*(-18 + 18 - 3 + 70*f).\nAnswer: -280*f + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 22*c - 3477 = 0. Calculate the remainder when c is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.07201 - -0.02799. Which is the smallest value?  (a) -0.1  (b) -1\/28  (c) 1\/9  (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 5*r - 690 = 4*o, -o + 2*r - 141 = 0. Let j = -189 - o. Let k = 57 + j. Solve k*n + 12 = 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 158474 and 1.\nAnswer: 158475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 1012 divide 20990904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -137 = 3*m + 322. Let s = -24 - m. Calculate the common denominator of (-2 - s\/(-42)) + 1 and -111\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 428 + -404. Suppose -5*z + 3265 + 3465 = 0. Let a be z\/7 - (-4)\/(-14). Calculate the highest common divisor of a and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 - -3499?\nAnswer: 3502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 2*n + 37. What is the remainder when r(-6) is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 160439905?\nAnswer: 5, 47, 682723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -89*x - 1526. Let m be p(-17). Is -627\/50 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 62\/35 + -2019\/1120. Which is the second smallest value?  (a) o  (b) -0.2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5140706?\nAnswer: 2, 37, 127, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.53 - 0.47. Let k = 60 + -154. Let s = 89 + k. What is the nearest to -2\/7 in 1\/5, s, v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 15\/4 of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -371*k + 133*k - 315 - 298 - 1767 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 3*v = -0*n + 17, -4*v - 36 = 4*n. Let w be (-3 - n)*(-5)\/(-2). Solve q = w*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2694 + 2710. Solve 5*d - 11 = -u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 111321001 + 0?\nAnswer: 111321001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/3  (b) -362148\/221  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1413766 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3443259 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-45)\/4)\/(-9)*21768. Is (z\/35)\/((-10)\/(-35)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*n + 4. Let j(l) = -n + 2 - 1 + 2*l. Give j(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4579400 rounded to the nearest 100000?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 w when three letters picked without replacement from {b: 1, w: 2, m: 1, f: 2, y: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -41.646 + -0.054. Let x = 39 + m. Let g = x - -2.8. Which is the nearest to 1?  (a) 0.5  (b) g  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*y + 70*y - 744 = 256. Solve 19*s - y = -59 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 + 2*9\/6. Let s(b) = b**3 - 5*b**2 + 2. Let w be s(u). Suppose 12 = 4*j - 2*l, w*j - 6 = -4*l - 0*l. Solve -g = 5*y - 6, 0 = -0*y + j*y + g - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s - 3*s - 2*s - 3*s)*(1 - 2 - 2)*(26*s**2 + 64*s**2 + 2 + 19*s**2).\nAnswer: 3270*s**3 + 60*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -2*x - 2*h, 0*x + 3*x + 2*h - 34 = 0. Suppose x - 18 = -5*a. What are the prime factors of (2 + (a - 5))*-19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7538081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -358*q - 9747 = -96*q + 99*q for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - 2*k**2 + 6*k - 2. Let h be d(4). Suppose 3256 = 221*g + 1267. Calculate the highest common factor of h and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = -28*r + 3*t, -100 = 52*r - 33*r - 23*r + 4*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (11\/2)\/((-239492)\/566072)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 180 divide 8300431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -62\/4173 and -67\/1837725?\nAnswer: 23890425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -158 - -157. Let x(k) = 16*k + 2. Let p(j) = 8*j + 1. Let z(a) = -7*p(a) + 3*x(a). Let g be z(l). Solve 2*m - g*m - 5 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 + -11 - 1) + -81 + 100.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2*l**3 - 37*l**2 - 212*l - 1504. Determine u(-14).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 - 17. Let t(b) = -2*b + 6. What is the smallest common multiple of t(x) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3036)\/1771)\/(2\/(-21)). Calculate the greatest common factor of y and 228.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 396, 703, 914, 1029?\nAnswer: 1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(-6196)\/(-8)*2. Suppose -r = 5*p + 561. Let v = p - -736. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 11 = 3*q, 0 = -q - 1. Let a = g + -3. Let p(o) = -3*o - 1. Determine p(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-3) - 10) + 8.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:07 AM and 11:07 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -4*g**3 - 163*g - 99. Let y(i) = 11*i**3 + 490*i + 300. Let k(p) = -17*u(p) - 6*y(p). Find the first derivative of k(f) wrt f.\nAnswer: 6*f**2 - 169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + y)*(3 + 3 - 3)*(3*y + 0*y + 2*y).\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2e51e7 (base 15) in base 5?\nAnswer: 1033313232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 2*u + 33 = 0, 4*i - 44 = 3*u - u. Suppose 0 = 4*x - 4*t - 36, -2*x = -4*t - 14 - 12. Calculate the smallest common multiple of x and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 2*s - 537 = 0, 0 = 3*w - 4*s - 2402 + 781. Let x = w + -520. Calculate the remainder when 72 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 2*t**2 + 2*t + 3. Suppose 2*s = -4*c - 16, 0 = -s + 2*s - 2. Let l(d) = -2*d**2 - 2*d - 2. Give c*l(q) - 4*x(q).\nAnswer: 2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 276*v + 810*v - 159*v = 28737 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1135?  (a) 460  (b) -5  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 2*o**3 - 24*o**2 + 13*o - 87. Determine b(12).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*w - 3*w - 168. Suppose -3*p = -3*j - 4*p + 46, 0 = -3*j - 5*p + 62. What is the greatest common factor of j and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(((-2)\/(-10))\/((-143)\/65))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1493*z**3 - 16397*z**3 + z**2 - z**2 - 24445*z**3.\nAnswer: -39349*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-52)\/(-65))\/(2\/(-145)). Let g = -22 - a. Calculate the lowest common multiple of g and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((6 - 3 - 4)*(-34 + 3*p + 34) + 5*p - 2*p - 2*p - p + 2*p - 3*p + 2 + 2*p - 2 + (-3 + 2 + 0)*(5*p - 3*p - p) - p - 4*p + 4*p)*(19*p + 124*p**2 - 19*p).\nAnswer: -496*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -332, -666, -1000, -1334, -1668?\n\"Answer: -334*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 + 7*b**2 - 14*b + 10. Let h be k(4). Solve -3*r + h*n + 4 = 0, 5*n - 3*n = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7205 less than 0.1?\nAnswer: -7204.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add -3605 and -354232.49.\nAnswer: -357837.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -321.1 - -321. Let p = -9 + 3. Let y = 194\/3 - 64. What is the second biggest value in f, y, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -191*n - 20 = -196*n. Suppose n*y - 202 = 3*y. What are the prime factors of y?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 97 and 30361?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1254aa343 - 5?\nAnswer: 1254aa339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 22 = -0*u + 4*u, -3*c = 9. Suppose 0 = u*a + 2*s - 698, s + 511 = 3*a - 0*s. What is the common denominator of (-2)\/9 - a\/(-24) and 43\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 4*v**4 + 20*v**3 + 12*v**2 + 4*v + 4. Let l(h) = -8*h**4 - 38*h**3 - 24*h**2 - 8*h - 7. Let m(x) = 4*l(x) + 7*r(x). Factor m(j).\nAnswer: -4*j*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251482 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((6\/28)\/(9\/24))\/2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*l + 2*l - 5*l)*(3 + 2 - 1) + 84*l + 53*l + 8*l + (-4*l + 2*l + 0*l)*(-3 + 5 - 1).\nAnswer: 147*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of 5*w**4\/54 - 3337*w**3\/27 + 1334*w**2\/9 - 2575*w. Factor k(m).\nAnswer: 2*(m - 667)*(5*m - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 426 and 1377.\nAnswer: 195534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/(-36) - 6\/27\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 AM and 8:06 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v - 3. Let u(p) = -3*p + 15. Let c(t) = 5*d(t) + u(t). Suppose -9 = -5*r + 6. Let n(a) = 3*a**2 - 3*a**2 - r*a**2. Give c(n(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-518)\/111*54\/63.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1767\/2945)\/(4\/(-4)*(-3)\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 + 11 + -1 - 7) + (-6 - 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/8, 4\/9, -2 in decreasing order.\nAnswer: 4\/9, 1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 11) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 36\/30*25\/15. Let c(r) be the first derivative of 1\/4*r**4 + 0*r - 4 + 2*r**z + 5\/3*r**3. Give c(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19247, 19246, 19245, 19244, 19243?\nAnswer: 19242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 + 2*a - 2. Let h(k) be the first derivative of 5*k**3\/3 + 11*k**2\/2 - 10*k - 1168. Determine -22*g(f) + 4*h(f).\nAnswer: -2*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -2, 2, -725, -10, -4, 5 in decreasing order.\nAnswer: 7, 5, 2, -2, -4, -10, -725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48, 5, 25, -5, -33, -11 in descending order.\nAnswer: 48, 25, 5, -5, -11, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from owswoosdodwawo. Give prob of sequence ossd.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 7*j - 30 = 0. Let l be 4\/(-8) - j\/(-4). Which is bigger: l or -3\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3292153 rounded to three dps?\nAnswer: -0.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 150\/(-40)*5\/25.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 168*y**2 - 2*y. Let d(j) = 2*j. Calculate f(d(r)).\nAnswer: 672*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 - 5*i - 4. Let c be k(-3). Let y be (-4)\/(360\/57) - ((-3186)\/(-180) - 18). What is the closest to y in 0, 2, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -26984 + 26980. Let i = 1 + -23. What is the closest to -0.1 in i, o, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 528 a factor of 695904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -822 * -0.06.\nAnswer: 49.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 3, z: 4, q: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 30 + -18. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -33.4 - -31. Let u = -0.596 + 13.866. Let k = 13.27 - u. Which is greater: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 16 = -10*j. What is the tens digit of (62\/j + 20\/(-5))*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2 - 6*x - 4. Let t(i) = i**2 + 5*i + 5. Give -2*t(w) - 3*z(w).\nAnswer: w**2 + 8*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -110100111001001 (base 2) in base 15?\nAnswer: -8056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -138235\/3038 - -3\/1519. Let y be ((-44)\/(-10))\/(2\/(-30)). What is the common denominator of d and (-60)\/y*(-5)\/(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and -13469.9.\nAnswer: -13468.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 656822 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 280\/375*5*(10\/9)\/((-462)\/(-198)).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of -19*p**3\/3 - 1766. Let z(j) = 491*j. Determine z(v(g)).\nAnswer: -9329*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-108)\/28 - -6 - 26\/(-117)*-9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (23 - (-4)\/(-2))*17\/(-51). Let s(r) = -r - 7. Let p be s(a). Suppose 7*z + 107 - 373 = p. Is 37 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-2\/3)\/t)**(-4\/21)\/(t**(-5)*t*t*t\/((t\/(t**(-4\/9)*t))\/t)))**15 assuming t is positive.\nAnswer: t**(165\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -232*q - 1332 - 384 = -76*q. Let s(w) = w**2 + 16*w + 48. Give s(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, -1\/4, -46 in decreasing order.\nAnswer: -1\/4, -3\/2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 385 - 385. What is the closest to 8 in -3, -5\/2, 1\/2, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 2\/25  (b) -0.4  (c) -5  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(24\/18)*-5. Solve 2*r - l = -9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -8*y + 17. Let j be y - 3*(-2)\/6. Suppose -j*q - 1 = 4. Let w(h) = -14*h - 1. Determine w(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 67 - 1 - 2*t.\nAnswer: -2*t - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.78 - -0.22. What is the closest to -0.1 in -0.2, w, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 84 in -5, 1\/5, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 189 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7965 - -8049. Solve -50*v = -36*v + f for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001010 + -11?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -38*x**2 - 45*x**2 + 4*x + 78*x**2 to the form n + j*x + i*x**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -49.2 + 49. Let s = 3 + -6. What is the biggest value in 1, s, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of -13*t**4\/4 + t**3 - 45. Find the third derivative of c(l) wrt l.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 14, z: 5}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 0 + 1)*(-88 + 88 + 25*r) to the form s + y*r and give y.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 1 r when three letters picked without replacement from {g: 5, u: 2, z: 4, r: 2}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 + 12.3. Let j = 29\/195 + 2\/39. Which is the third biggest value?  (a) i  (b) 0.5  (c) 3\/2  (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**5*c*(((c\/(c*c**(-3))*c)\/c)\/c)\/c*c*c)**(5\/4) assuming c is positive.\nAnswer: c**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -5*q - 4 - 1, -n - 5*q = -15. What is the second derivative of -39*b**n + 18*b + 88*b**5 + 49*b + 2*b**2 wrt b?\nAnswer: 980*b**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -37489213 and -480.\nAnswer: -37489693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/2)\/(1\/(-468)). Calculate the greatest common divisor of 360 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3882841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 136485405 and 75330.\nAnswer: 818912430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -9.06.\nAnswer: 36.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.5, -4\/7, -712, 5, -6\/7?\nAnswer: -712","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 44358 - -3299?\nAnswer: 47657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 475 = 3*r + 199, 0 = -2*p + 3*r + 266. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 6503, -1\/2, -46?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2621, -5243, -7865, -10487, -13109?\n\"Answer: -2622*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 44264284849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 124647714?\nAnswer: 2, 3, 19, 31, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of 31*f**6\/120 - f**5\/20 + 5*f**3\/3 - 98*f**2. Let v be d(2). Calculate the highest common factor of 41 and v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8\/307635 or 0?\nAnswer: -8\/307635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -205177999 - 1?\nAnswer: -205178000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 16338.\nAnswer: 49014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l**5\/3 + 3035*l**4\/3 - 27135*l**3 + 189675*l**2 - 514530*l + 487296 = 0.\nAnswer: 3, 18, 3008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:02 PM and 9:02 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7969*b = 7704*b - 5035 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2 and -6680559223.\nAnswer: -6680559223.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 89 - 84. Suppose -13 = -4*s - d*y, -4*s - 3*y + 6 + 13 = 0. Find the second derivative of 16*c + s*c**3 + 2*c**3 - 2*c**3 + 2*c**3 wrt c.\nAnswer: 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/102656 and 15\/704?\nAnswer: 1129216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 4*l - 478, -5*g + 16 = -5*l + 606. Calculate the least common multiple of 750 and l.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1019502 and 1234134?\nAnswer: 23448546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 566.862cm in micrometers?\nAnswer: 5668620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4861 times -318?\nAnswer: -1545798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 3*t = -156, 3*t - 4*t = -c + 40. Let y = c - 25. Calculate the remainder when y is divided by 20\/6 - 2\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 550\/(-6)*(-1932000)\/(-7). Round a to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h - 12 = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1567 + -7789\/5. Let l = j - 169\/20. Factor 3\/4 - 3*x + l*x**4 - 3*x**3 + 9\/2*x**2.\nAnswer: 3*(x - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kggatagugggaukggg. Give prob of sequence uu.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + -25 + 4 + 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1949136*i**2 + 124*i + 6357 wrt i?\nAnswer: 3898272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 21518879.\nAnswer: 4\/21518879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c + r + 23, 0 = -c + 2*r - 9. Let x = -5 - c. Suppose -3*a + a = -3*z + 54, x = -5*z - 2*a + 74. What is the least common multiple of z and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27399?\nAnswer: 3, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -148 - -408. List the prime factors of ((-42)\/35)\/((-6)\/l).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -7. Suppose 2*o + o - 5*z - 60 = 0, 5*o + 5*z = 60. Suppose n*m = -5*u - o, 2*u = m + 2*m + 15. Solve -g + 0*g - 4 = u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 17*w + 152. Let x(n) = -12*n - 130. Let j(v) = 6*q(v) + 7*x(v). Give j(6).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*w + 92667 + 210171 = 0. List the prime factors of w.\nAnswer: 2, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 10 = -o, 3*o + g - 6*g - 10 = 0. Let f(d) = -d**2 - 3*d + 5. What is f(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 0*y - 80 = 3*y, 0 = -3*y. Let m(s) = -40*s**2 + s. Let n be m(1). Let g = i - n. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 3*g = 59, 3*g - 1 = 5*s - 42. Suppose -2*x - 4 = -4*n, -5*n + s = 3*x - 6. Solve 2*u = n*q + 8, 7*u + 2*q = 3*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(-4\/17)*n)\/(n\/(n\/(n\/n**(-2\/25)))))\/((n\/(n\/(n**(-5)*n)))\/n*n*n**1))**(-1) assuming n is positive.\nAnswer: n**(-1141\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/210 and -131\/149220?\nAnswer: 1044540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -4, 30.\nAnswer: -7, -4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*t + 43*t**2 + 29*t.\nAnswer: 43*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2604983608 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 58, 5, -60, -143, -250, -387?\n\"Answer: -p**3 - 46*p + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 12 + -7 - (37 + -18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 82216831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 91785 and 664017?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -0.3, -0.4, -29, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 124 and 1533043?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, q: 2, s: 2, w: 4, j: 4}. What is prob of picking 2 w?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 406050?\nAnswer: 2, 3, 5, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -7910, -7.\nAnswer: -7910, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3848*l**2 - 8532*l**2 + 2702*l**2 + 3431*l**2.\nAnswer: 1449*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -2*q**5 + 96*q**4 - 1050*q**3 - 2500*q**2 = 0?\nAnswer: -2, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*s + s**3 - 10*s - 769*s**4 + 2*s**3 + 5*s**2 - 4*s**3 + 2 + 744*s**4 to the form c*s**2 + a + v*s + i*s**4 + j*s**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/(sqrt(6)\/sqrt(3)) + 2 + 2*sqrt(7).\nAnswer: 2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 52259 - 8.9206931.\nAnswer: 52250.0793069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 64*g*q**4 + g*q**2 + 16*g wrt q.\nAnswer: 1536*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 84 and 628362924?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -7*m - 27. Let o(a) = a**3 - 4*a**2 + 2. Calculate the remainder when o(4) is divided by t(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16858400 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -317, 12, -1595?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3219136 (base 13) in base 9?\nAnswer: -31655571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-16)\/30)\/(-4 - (156\/60 - 8)). Which is the smallest value?  (a) t  (b) -1\/14  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.50572105 rounded to two decimal places?\nAnswer: 3.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(-6) + (-27)\/(-6). Suppose 57103 = w*y - 382897. Round y to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 157 divide 3161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-33)\/264*-12)\/((-2)\/2)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 9:50 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 77641.4189786 + -8.2.\nAnswer: 77633.2189786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 611 at most 611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*y = -41*y - 2*w + 37, 4*y - 4*w = 24 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + p = 4990, 5*s - 12520 = 201*p - 196*p. Does 34 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 106 = 5*h, -h - h - 48 = 3*l. List the prime factors of (-4)\/h + (-690)\/(-54).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (137 - 191) + (30 - 29 - (0 - 10)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 565943 is divided by 141484.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 1611383616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-15)\/5 + 3\/((-6)\/(-2)). Is h bigger than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -103 - -100. Let w(c) = -5*c - 9. Let y be w(i). Is (-5 - -3) + y - -227 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 + 11*a**2 - 6*a + 19. Let q(h) = 4*h**3 - 43*h**2 + 25*h - 75. Let m(t) = 9*o(t) + 2*q(t). Let j be m(12). Let x = j + -82. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 e when three letters picked without replacement from {u: 1, k: 3, e: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1084, -539, 942, 3827, 8584, 15681?\nAnswer: 25586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/(-51))\/(3\/(-1))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 87, 202, 303, 384, 439, 462?\n\"Answer: -j**3 - j**2 + 125*j - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -85*x**3 + 39*x**3 + 43*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of d**5 - 1890496*d**4 + 5*d**2 - 822*d - 6 wrt d.\nAnswer: 60*d**2 - 45371904*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 12\/23, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p - 38. Let h(c) = -29*c. Give u(h(z)).\nAnswer: -29*z - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 5*i + 117. Which is greater: i or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-25 - -23)*6\/(-14)*1.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16734*z**4 + 23*z**3 + 6*z**2 - 64092820*z?\nAnswer: -200808*z**2 + 138*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -60\/89?\nAnswer: -60\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 17*b**2 - 4*b - 2. Is a(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/17 - 18*b - 900\/17.\nAnswer: -2*(b + 3)*(b + 150)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2*j**3 - j**2 + 5*j + 8. Let o be v(4). Let w = o - 44. Is 16 a factor of (-4)\/(w\/(-2308)) + (-3)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -30*w + 1. Is k(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 + 967*s + 134858. Give n(-169).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25608 + -128038\/5. Factor 8\/5*g + z*g**2 + 0.\nAnswer: 2*g*(g + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*d + 85659216 - 85659522 = 0 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 939504, 939652, 939810, 939984, 940180?\n\"Answer: p**3 - p**2 + 144*p + 939360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -9, 4877, -0.3, -3, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/7*(15 - (-413)\/(-21)). Let k be 5 + 1 + (18 - 22). Let a be k - (3 - 4 - 2). Put o, a, 4, -4 in descending order.\nAnswer: a, 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -2 + -7 - 5940\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 18 = 5*y. Let z be (y + -4)*(1 - 84). Let p = z - 73. Solve -i + 6*i - 16 = -3*h, -2*i - 3*h + p = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 15, c: 3}. What is prob of picking 1 c and 1 p?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 + 3*n**2 + 4*n + 3. Let a be t(-4). What is the greatest common factor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -9*f**3 - 4272*f**2 - 495360*f + 2764800 = 0. Calculate f.\nAnswer: -240, 16\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*j**3 - 229*j**2 - 301*j - 75 = 0. Calculate j.\nAnswer: -75, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -68\/5, 1, -1\/5, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of 0*p**2 + 2\/21*p**3 - 2\/7*p + 169. Factor s(o).\nAnswer: 2*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 105 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.5 + -1.5. Let y = -5.93 - j. Let l = 0.06999976 - y. What is l rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 2*s - 8. Suppose 5*f - 33 = -5*j + s*f, -5*f = -2*j + 38. Let v(i) = 2*i**3 - 2*i**2 + i + 1. What is the least common multiple of j and v(2)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73299 > 73299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + v + v**3)*(-12 - 5 + 2 + 0 - 4 + 6 + 1 - 4 + 4 - 3 + 5 - 3 + (3 - 1 + 0)*(1 + 0 - 2)).\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, -2\/19, 7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 346 divide 21232982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 15*h**2 - 5*h + 53. Let g(f) = -7*f**2 + 3*f - 26. Let k(n) = -13*g(n) - 6*l(n). Let i be (1 + 0)*(0 + 11). List the prime factors of k(i).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 + 4*r - 96. Let l be m(8). Suppose 23*n - 7*n - 96 = l. What is the third smallest value in 4, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -91554634 divided by 3.\nAnswer: -91554634\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.4  (b) 14\/9  (c) -3  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the third derivative of -2*w**2 + 43 + 5\/36*w**3 + 0*w + 0*w**4 - 1\/72*w**5. Factor u(i).\nAnswer: -5*(i - 1)*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2034 and 5650?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*6192.8\nAnswer: 619.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n + 1. Let x(w) = 5*w - 5. Let h(q) = -6*l(q) - x(q). Let d be h(5). Suppose -6*t = -d*t - 38. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 26, -437, 15 in ascending order.\nAnswer: -437, 1, 15, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -9*h + 10*h + 4*m, -4*h - 9 = -m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9991474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8208829?\nAnswer: 43, 349, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/5*(-10)\/15*(-765)\/(-102).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2395*r**2 + 11 + 2614*r**2 - 4750*r**2)*(-r - 2*r + r) to the form w + h*r**2 + j*r + l*r**3 and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-8)*p*p**7*p)\/(p**1*p)**(-44) assuming p is positive.\nAnswer: p**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/630 and -109\/11620.\nAnswer: 104580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4290)\/(-1040))\/(1\/8). Solve -5*a + w = -2*n, 113*a - 109*a - 40 = 5*n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v**4\/7 - 8*v**3\/7 - 318*v**2\/7 + 312*v\/7 + 88 = 0. Calculate v.\nAnswer: -7, -1, 2, 22\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.1379054 + 0.138. What is w rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = 12*y - 129. What is the least common multiple of y and 55?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (-7 - -14) - -21 - 61.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 14726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 23286 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*d - 6*n = -13*d + 32, 0 = -8*d - n - 38 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1023 + 1017 - (-16 + (2 - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 - -3. Suppose 3*p + j*d = 3*d - 8037, -p - 5*d - 2695 = 0. Let b = p + 21389\/8. Calculate the common denominator of 67\/2 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100254 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 499*k + 3. Let m(s) = -690354*s - s**2 + 690354*s. Calculate m(q(o)).\nAnswer: -249001*o**2 - 2994*o - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3 + 0 - -1) + -7. Sort y, -4, -5 in decreasing order.\nAnswer: y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 = -87*g - 43*g + 321. Solve 5*d - 3 = -4*h, -2*h + g*d - 19 = -4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13, 63, 185, 353, 567?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-3))\/((-14)\/(-7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.8?  (a) 10  (b) 12  (c) 3  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 75183239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 187667427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 8*r - 9. Let a(h) = -19*h + 17. Give -3*a(c) - 7*t(c).\nAnswer: c + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 1 - b**2 - 3*b**2 + 3*b**2 + 3*b - 3*b**3. Calculate the remainder when s(-2) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -64199 or -64184?\nAnswer: -64184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2 from -563.49.\nAnswer: -565.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -81*m**3 - m**2 + m + 1. Let c be o(-1). Suppose 6*z + c = -4*z. Is (716\/6)\/(z\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 11*v**2 - 33*v - 24. Let x(h) = 8*h**2 - 22*h - 16. Let y(q) = 5*r(q) - 7*x(q). Calculate y(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4020247 rounded to the nearest 10000?\nAnswer: -4020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 1351*r**2 + 6*r. Let p(n) = -n - 55. Give p(v(a)).\nAnswer: -1351*a**2 - 6*a - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -47537.207.\nAnswer: -190148.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 181343 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -79*m**3 + 10229*m**5 + 2 + 2 - 4 - 12*m**2 - 10228*m**5 wrt m?\nAnswer: 60*m**2 - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 + 0\/(-3))\/1. Suppose -s - 4*s = -d*r - 31, r - 8 = -2*s. Suppose 4*a = -o - 15, 4*o + 2*a + 3*a = -s. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from waubudd. Give prob of picking 1 u and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -0*b - 2*b. Let z be 10\/(6\/(b - -2)). Suppose 0 = -z*y + 535 + 355. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrrrddrrrrrrrdrrrrr. Give prob of sequence drdr.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (51978\/8)\/(((-66)\/121)\/((-120)\/33)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16793 is divided by 71?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.7, -71, 2\/7, -0.4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1, -4, -18 in decreasing order.\nAnswer: 2, 1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j + 2. Let m be r(3). Suppose 4*s = -20, -m*v - s = 2*s. Solve 1 = 2*a + q - 1, -v*q + 4 = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 2*f - 14. Calculate r(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 - 584*a - 17659. What is p(-32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -0.5  (b) -1.2  (c) 8\/9  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 45 and -7714 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from {l: 1, d: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3252701 to the power of 1\/2, to the nearest integer?\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -8\/1235 and -46\/585.\nAnswer: 11115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4646482130?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -5 + 3 + 5*w - 3. What is the remainder when g(6) is divided by (-1026)\/(-78) + (-4)\/26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -320, -584, -848, -1112, -1376?\n\"Answer: -264*f - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 + 25*x - 12. Let n be t(0). Suppose -2*u - 2 - 2 = 0, -3*u + 56 = -2*a. Let o = a - -19. Is o != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-435)\/270)\/(-29)*-4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 0. Suppose 0*k - 2*k + 6 = 2*t, p*t = k - 19. Solve -2*w - 4 = 0, 3*b - k*b + 8 = 2*w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1500090820 rounded to the nearest 1000000?\nAnswer: -1500000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 145643 is divided by 418?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2105721368 to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -809*x = -812*x + 252. Calculate the highest common factor of 56 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/1818 and -39\/4343?\nAnswer: 78174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 52 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 216465203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-12)\/(-21))\/((-180)\/(-4410)). Solve -29*o - 2*w + j = -31*o, -2*o = -3*w + 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and 112592.\nAnswer: -11259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, c: 1, x: 2, m: 3, z: 5, a: 8}. Give prob of sequence cmz.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28*h + 10*h - 2*h)*(2 - 2 - 3*h) + (-3*h**2 + 3*h**2 - 2*h**2)*(-11 + 1 - 4)*(4 - 1 - 5).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/550577, 27, 0, 4\/7 in ascending order.\nAnswer: -1\/550577, 0, 4\/7, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35336, 17, -110 in descending order.\nAnswer: 35336, 17, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u - 22 + 34*u**2 - 32*u**2 + u.\nAnswer: 2*u**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - 9. Let j(y) = y**3 + 6*y**2 - 8*y. Let i be j(u). Let f(d) = 4*d**2 - 9*d + 2. Let z be f(i). Calculate the highest common divisor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 60 by 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 252 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.11 and -0.25.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.02?  (a) -2  (b) 0.1  (c) -1  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in -3, -2\/1269, -0.4, 2, 25?\nAnswer: -2\/1269","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -3*u**2. Let d(p) be the second derivative of -p**3 + p. Give m(d(x)).\nAnswer: -108*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/((-17)\/(-102) - 2\/(-6)). Let z(l) = -417*l - 80. What is the remainder when z(b) is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5024)\/22532640)\/(3\/(-90))\nAnswer: 2\/299","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 113355040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 + 9*x - 10. Let p be f(-10). Let c(n) = -6*n + 5. Let l be c(p). Suppose -10*y = -25 + l. Solve q - 5 = 3*r, -q + y = r - 3*r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a**3 + 9*a + 2 + 2*a**2 + 0*a**2 - a**4 - 11*a in the form o*a**2 + b + z*a**4 + u*a**3 + f*a and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9968 is divided by 55.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 2*g**3 - 5*g**2 - 12*g + 6. Determine d(5).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 699559 > 699559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5 and 113.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6072 and 94413.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w - 11. Let h(f) = 4*f + 25. Let d be h(-4). Let y be (4\/(12\/1) - 1)*d. What is j(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -17*c**2. Let a(m) = 3*m. Give b(a(g)).\nAnswer: -153*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 64058536433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 + 15*n**2 + 15*n + 12. Let s be j(-14). Let p be (s + 5)*(-6 - -1). Let i = p - -19. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 28583*i**2 - 19485 wrt i.\nAnswer: 57166*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160*a + 164*a = 3*n - 18, 2*a = n - 8. Solve 3 = -5*m + 118*f - 120*f, -n*m + f - 3 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1b - 3b1?\nAnswer: -3cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 688034 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssshsssshhhshssss. Give prob of sequence hhh.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/9 and ((-97)\/21 + (-11)\/((-143)\/52))*-1.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.74 + -1.64. Sort -5, -4\/27, u.\nAnswer: -5, -4\/27, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -617\/31160 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yiiy when four letters picked without replacement from {x: 7, i: 2, p: 1, v: 1, y: 6, h: 2}?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2053583119 to the power of 1\/2, to the nearest integer?\nAnswer: 45316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 - 14 = -9*f - 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d - 4*d - 1 + 6*d)*(d**3 - 1376 - 2*d**3 + 562).\nAnswer: -d**4 + d**3 - 814*d + 814","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -105\/52 and -11\/520.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/18 - -1 - (-42)\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 107 divide 4494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 637 - 580. Suppose c*x - 810 = 42*x. Calculate the remainder when 753 is divided by x.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31943 = -10*u - 6*u + 631015. List the prime factors of u.\nAnswer: 2, 97, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence akxk when four letters picked without replacement from {k: 5, a: 5, x: 3}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 plus 2594979.85?\nAnswer: 2594979.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -493139*x. Let f(h) = 17*h**2 - 5. Calculate b(f(q)).\nAnswer: -8383363*q**2 + 2465695","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 27 divided by 9512071\nAnswer: 27\/9512071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:09 PM and 12:54 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w**4\/9 + 694*w**3\/9 + 26320*w**2\/3 + 3719296*w\/9 + 62870528\/9 = 0.\nAnswer: -179, -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(17) - (sqrt(85) - ((2*sqrt(85) - sqrt(85)) + sqrt(85)))\/sqrt(5))**2.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -231*r**3 + 6*r**2 - 25*r**3 + 5*r**2 - 19*r**2 + 10*r**2.\nAnswer: -256*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -59 divided by 109?\nAnswer: -59\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-126)\/(-105))\/((-2)\/10). Let g be ((-2)\/s)\/(-5*(-8)\/480). Solve g*d - 16 = -4*f, -3*d + 5*f = -d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 49  (b) -7  (c) 2\/9  (d) -5  (e) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6717 - 3?\nAnswer: -671a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-3\/4)*u)**(-2\/33)*(u*u**10)\/(u\/(u**(1\/14)*u)) assuming u is positive.\nAnswer: u**(2554\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 425650 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the third derivative of -u**6\/780 - u**5\/390 + u**4\/156 + u**3\/39 - 10*u**2. Solve x(m) = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 50 + 20625414?\nAnswer: 20625464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 7*i + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-598325*v**3 + 598325*v**3 + 2819*v**4)*(3*v + 1 - 1).\nAnswer: 8457*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 6*z**3 + 16*z - 4. Let y(s) = -6*s**3 - 18*s + 6. Give 3*d(b) + 2*y(b).\nAnswer: 6*b**3 + 12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 11 = -6*s. Let j be 9\/((-12)\/3 - s). Let a(d) = d**2 + 7*d + 1. Let c be a(-2). Are c and j unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.12 and -0.2506861812.\nAnswer: -0.3706861812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = 25, -5*l - 2*p - p = 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1195 and 370?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from elaigjea. Give prob of picking 1 a and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 730385?\nAnswer: 5, 146077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28)\/21*23\/(11960\/78)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-68)\/(-48) - 4\/(-12). Let x(g) be the first derivative of m*g**4 - 2\/3*g**3 - 7\/6*g**6 + 2\/5*g**5 + 0*g + 3 + 0*g**2. Solve x(v) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - -3. Suppose 3*a + 10 = a + 5*b, g*a + 3*b - 6 = 0. What is the units digit of -2*(-33)\/6 + a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/(-24)*(15 + -3). Suppose -r = -m + 4*m. Are -1\/16 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 0*d + 2. Suppose -l - 5*q + 6599995 = 0, l - 2*q + 6599998 = d*l. What is l rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of y**3\/7 - 3*y\/7 - 10. Suppose g(z) = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2078 and 368.3408?\nAnswer: 2446.3408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 PM and 3:43 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 405208 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -52\/9 and 17\/117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2*b**2. Suppose 4*y + 16 = 0, -4*i + 296 = -y - 2*y. Let j = i - 66. What is the remainder when c(2) is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of v**4\/4 - v**3\/3 - v**2\/2 + 4*v + 1. Let n(u) = 10*u + 210. Let z be n(-21). What is t(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4020774 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*l**2 - 4*l + 4*l)*(-20*l + 12*l + 25*l) + (-4 - 5*l + 4)*(-3*l**2 + 10*l**2 - 3*l**2) to the form x*l**3 + t*l + u*l**2 + a and give x.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-4)\/(-6))\/((-5)\/(-6)). Let z be -3*(-8)\/36*15\/2. Suppose z*k + 6*j - 11*j = 0, -k - 2*j = -6. Which is smaller: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54 = -6*o + 3*v, 4*v + 9 - 17 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2730*i - 1580 = 1910*i - 8140 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -73?  (a) -1\/28  (b) 3  (c) -1802\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14764 + -15248.42. What is r rounded to the nearest 10?\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 51563, 51712, 52123, 52928, 54259, 56248?\n\"Answer: 22*d**3 - d**2 - 2*d + 51544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.0734 or -197407?\nAnswer: -197407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 + 4*z + 1. Let q be l(3). Suppose -q*k = 4*x + 24, 5 + 1 = -2*k. Let o be (-3)\/2 - 2\/(-4). Sort o, x, -4 in increasing order.\nAnswer: -4, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26 + -3 + (-49 - -7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.1, 390, 2, 8, 5\/9, -2\/9?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1826*x**5 - 291*x**2 wrt x.\nAnswer: -109560*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 11 = 26. Sort d, -5, 5 in increasing order.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 101*o - 138 = -417, 212*q + 2*o + 12 = 215*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (286\/52)\/((-1)\/34). What is the smallest common multiple of g\/(-55) + (-4)\/10 - -11 and 342?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (114\/(-24) - -10)\/((-9)\/156). What is the fourth smallest value in 1, l, -3\/7, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 2 = 3*m, -m - 26 = -6*m - u. Suppose -b = -3*q - 12, -4*q - m - 9 = -b. Let j = 0.18 - 0.31. Sort q, 0.5, j in increasing order.\nAnswer: q, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -7, -5, 12, 4, -8 in descending order.\nAnswer: 12, 4, 1, -5, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -282 = -24*u - 66. Calculate the highest common divisor of u and 1413.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-550)\/22*8\/(-10). Let o(k) = -k**2 + 3*k + 4. Let u be o(3). Let g = 1 - 1. Solve -u*w = t - g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -15, -4, 25, 78, 161, 280?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39869.\nAnswer: 39869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 47028 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**2 - 4*p + 10. Give k(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h + 8, -2947 - 2700 = 340*x - 1298*x + 5*h - 1795 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + 8. Suppose 0 = -0*x - j*x - 2. Let r be 1 - (0 + x)*13. Solve -4*y - r = 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2397209587 to the power of 1\/2, to the nearest integer?\nAnswer: 48961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(228) - (sqrt(228) - (5*sqrt(228)*-1 + sqrt(228))) - (sqrt(228) + 1*sqrt(228)*1))\/(sqrt(1200) - (sqrt(1200)*2 + sqrt(1200))*1).\nAnswer: 3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*i**2 + 9*i - 9*i - 13*i**2 - 22.\nAnswer: 4*i**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.103541 and -5311050.\nAnswer: -5311049.896459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 64\/11321397 and -79\/456?\nAnswer: 90571176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 PM and 2:55 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-63)\/147)\/(1\/(7\/4))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.01 - 0.71. Let b = -2\/299 - 576\/3289. What is the nearest to -1 in b, 1\/6, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -225 - -229. Solve c*r - 3*r = -2*u - 1, 2*u = 4*r - 26 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 + 5*f**2 - 7*f - 1. Let c be i(-6). Let a(u) = -u**2 - 11*u - 4. Let n = -16 + 7. Let z be a(n). Solve z + 6 = -c*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 852, 1781, 2800, 3921, 5156, 6517, 8016, 9665?\nAnswer: 11476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, -408, 5826 in descending order.\nAnswer: 5826, -34, -408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.1  (b) -13  (c) -12  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 73*l - 151*l + 82*l - l**2 to the form b + c*l**2 + m*l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 31, -5, -2\/5, -4, -0.065112 in increasing order.\nAnswer: -5, -4, -2\/5, -0.065112, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 14\/21 + (-13)\/15. Let d = 4260043\/78 - 54615. Let y = -10\/13 + d. Sort y, q, 0.2 in ascending order.\nAnswer: q, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35306359?\nAnswer: 11, 173, 18553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 2*b + 4, 7 + 2 = 3*x + 3*b. Suppose x*q = 3*q - 10. Let l = 7 + q. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**2 - 611500*z + 18696612500.\nAnswer: 5*(z - 61150)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(637) + 3 + 5)*5 - 1*(2*sqrt(637) + sqrt(637))*-3)**2.\nAnswer: 7840*sqrt(13) + 126452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 3, -34 in decreasing order.\nAnswer: 3, -6, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(192)\/(sqrt(4)*2) + 0 + -3).\nAnswer: -2*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, i: 3}. Give prob of picking 1 i and 1 f.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.04 and 1949404321272.\nAnswer: 1949404321271.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4124 and 12914306?\nAnswer: 2062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 673 is divided by 53?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes after 1:32 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.5 - -6. Let g(m) = -m. Let l be g(1). Which is the third smallest value?  (a) h  (b) l  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - 16 - 3) + 10 - (-4 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11918 and 808.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*z**2 - 2*z**3 - 3*z**2 + (0 - z**2 + 0)*(-2*z + 4*z + 0*z) + 4*z**3 - 5*z**3 + 4*z**3 + 4*z**3 + z**2 + 0*z**3 + z**2.\nAnswer: 3*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**2 + 5*n + 2. Let s be m(5). Let w(v) = 8*v**s - 1 - 10*v**2 + 1. Let c(t) = -2*t**2. Give c(w(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -679*l + 1194 = -1522 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 5*o = -2*g + 197, 5*g + 4*o = 840. Calculate the remainder when g is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -3 + (-17 - -18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n\/((n**(-14)*n)\/n)))\/n**9*(n**11\/n)\/n**(-8\/5) assuming n is positive.\nAnswer: n**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*d + 10. Let k(v) = -2*v**3 - 10*v**2 - 10*v + 37. Let t be k(-3). Solve d*p - 7*p = 2*n - 14, -5*p + t = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -26*d**2 - 6*d + 3. Let x(l) = -38*l**2 - 9*l + 4. Give -7*s(k) + 5*x(k).\nAnswer: -8*k**2 - 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 822288?\nAnswer: 2, 3, 37, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + -56)\/((-7384)\/(-32)). Let l = c - -6\/71. Let s = l + 58\/39. Sort -16, s, 2\/5, 2 in decreasing order.\nAnswer: 2, s, 2\/5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the second derivative of 0*k**4 + 0 - 1\/168*k**7 + 0*k**2 - 8*k + 0*k**6 - 1\/24*k**3 + 1\/40*k**5. Suppose g(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*h**4 - 145*h**3 + 255*h**2 - 155*h + 25.\nAnswer: 5*(h - 5)*(h - 1)**2*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7666, -9, -17, -4, -1 in increasing order.\nAnswer: -17, -9, -4, -1, 7666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4192.303l in millilitres?\nAnswer: 4192303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times 167541814?\nAnswer: 16754181.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 323 + -20. Let x = n + -300. What is the smallest value in -18, 0.4, x?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 93342 and 25286.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g + 1. Suppose -b + 9 - 8 = 0. Suppose -2 + 3 = 2*r - 3*i, -5*r = -2*i - 8. Suppose -t = j + b, -5*j + r*t = 20 - 1. Determine p(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8.8 - -55. Let h = 44 - r. Let n = h - 1.8. What is the nearest to -0.1 in -0.5, n, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, -7781, 10, 5 in decreasing order.\nAnswer: 10, 5, 2, -5, -7781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/4)\/(89\/2848).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-24)\/(u\/(u*u**(4\/3))) assuming u is positive.\nAnswer: u**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5\/(-3)*(1 - 4). Suppose 4*n = -3*g + 14, g - x*g + 18 = 5*n. Solve -11 = -3*p - n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-231)\/1386)\/((-7)\/3990*5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z**2\/7 - 33*z\/7 + 27\/7 = 0.\nAnswer: -9, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 47, 129, 257, 431, 651?\nAnswer: 917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-13)\/((-65)\/(-20)) - -5)\/(-1). Which is the closest to 0?  (a) 0  (b) -2\/9  (c) 0.3  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59134 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -19, -5 in decreasing order.\nAnswer: 3, 0, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**3 + 6*r**2 + 6*r + 4. Let y be z(7). Let l be 1\/y + 10\/15. Which is the nearest to 3?  (a) l  (b) 0.1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = -3*s - 8, -12*s + 17*s = -4*b - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/1*(3 + -1). Let s = r + 11. Is ((-9)\/4)\/(s\/(-8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 18330 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 121, 245, 369, 493, 617, 741?\n\"Answer: 124*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -3 + (93 - 87) + -1 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 5  (b) 0.1537  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 4+-19903\nAnswer: -19899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 2*v + 3 = 0, -5*z - 5*v = -0 - 5. Suppose -4*w - z*f + 630 = 0, -2 = -4*f + 6. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -50\/881 and -44\/13214119.\nAnswer: 13214119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-108 - (22 - 35)) + -32.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*s**2 + 457*s - 910*s + 1 + 453*s.\nAnswer: 88*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/9 - 88\/6. Let m(c) = -c. Let r(k) = 4*k - 4 - 10*k + 5. Let i = -2852 - -2854. What is i*r(w) + q*m(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -66 + -14. Let v = m + 85. Solve -v*a - 8 = 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.15 - 9.85. Let d = 9.99999996 + c. What is d rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 683\/3279?\nAnswer: 683\/3279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/(-352)*((-4)\/(-1))\/(-4).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (211 - 209 - (0 - -5)) + 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4 - (2 - (-2 + 136))) + 2. Suppose i*x - 136*x = -8058. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 - 2*q - 2. Let f be 5 - (-1 - (-2 - 0)). Let o be t(f). Suppose 3*k + 2*z + 0 = o, 17 = 5*k + z. Solve 0 = 6*p - 2*p - k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 48339504 divided by 596784\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 40204 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 109 or -5?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.02877 + -55.00123. Let t = 55 + v. Put -1\/3, t, 1\/5 in decreasing order.\nAnswer: 1\/5, t, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3619155629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 149 = 5*q + 9. Solve 4*y + q = 5*j + 5, -4*j + 22 = -5*y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 823 - 1587\/2. Let l = u + -117\/4. Suppose -12*q = -1 + 1. Which is the closest to l?  (a) 2\/11  (b) -1\/4  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 12 = 2*g, 0 = -2*g - 4*i - i - 15. Suppose -1 - 1 = -n. Solve g*l + 2 = -n*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = g + 98. Let k be (-3)\/((-6)\/g)*-2. What is the greatest common divisor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 764\/10 + -1 + 0. Let s = -75 + m. Factor 6\/5*k**3 - 6\/5*k**2 - s*k**4 + 0 + 2\/5*k.\nAnswer: -2*k*(k - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {k: 4, t: 6, s: 10}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 20306.43 to the nearest one hundred.\nAnswer: 20300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8931 is divided by 2918.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13641 or -150066\/11?\nAnswer: -150066\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -4*g - j, 4*g + 5*j + 27 = g. Let h be g\/(-14) + (-38)\/(-14). Solve -3*d - 2*o + 5 = 0, 5*o - 23 = h*d - 0*o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -74123\/6308 - -1\/1577. Let v = -1367250205\/141 + 9696717. Let d = v + 281\/3. Calculate the common denominator of u and d.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-44)\/16*(-36)\/8 + -3. Let i = -73\/8 + p. Which is the closest to 1?  (a) i  (b) -1\/2  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-52*r + 92*r + 66*r)*(-6 + 5 - 4)*(-2*r + 2*r + 3*r).\nAnswer: -1590*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/438 and 69\/2062130?\nAnswer: 451606470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18016 divided by 4.\nAnswer: -4504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -270*d + 282*d = -45 - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q + 13. Let j(k) = -k + 6. Let m(y) = 2*i(y) - 5*j(y). Let o be m(3). Solve 0 = -3*g + 3*p, 0 = 3*g - o*g + p - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 9, f: 2}. What is prob of picking 3 s and 1 f?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 20*z**3 + z**2 - 1. Let x be w(2). Suppose -x*n = -157*n - 1956. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x + 1 - 1)*(-5*x - 22*x - 143*x)*(2*x - x + x).\nAnswer: 340*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1718 (base 11) in base 2?\nAnswer: -100010010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w + 7. Let k be t(-7). Solve g + 4*g - g**2 - 4 - g + k*g = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g**5\/6 + 25*g**4\/3 - 80*g**3\/3 - 25*g**2\/3 + 53*g\/2 = 0 for g.\nAnswer: -53, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19215.\nAnswer: 3, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -232 + 335. Calculate the remainder when s is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -7*w**3 - 31*w**2 + 75*w + 57. Let a(t) = -4*t**3 - 15*t**2 + 38*t + 29. Let c(m) = 5*a(m) - 3*z(m). Let o be c(-20). Is o > -126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/3  (b) -1\/9  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of -9*a**2 - 37. Let m(h) = -12*h**2. Calculate g(m(i)).\nAnswer: 216*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.19 - 0.81. Let z = -0.827 + 0.027. Let l = z + 4.8. Which is the smallest value?  (a) 2  (b) l  (c) -0.7  (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 10*z = -14*z + 270172, -z = -7*v + 378287. List the prime factors of v.\nAnswer: 2, 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75\/2 of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 AM and 9:59 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from dkdahdkad.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10\/(-5) + 1 + 5. Let d be (4\/(-10))\/(2\/(-23) - (-1615)\/(-3910)). What is the third smallest value in d, 0, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 630 and 560.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 840749 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s + 7 = -23. Solve 1 - s = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2604378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - 4*h - 12, 5*m + 3*h - 16 = -h. Solve 0 = -7*v + 9*v - m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -104, -0.2 in decreasing order.\nAnswer: 0.1, -0.2, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -115\/4 + 29. Let g = -4686 + 4687. What is the closest to q in g, -0.01, 2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -507.9 - -516.9. Let p = 0 + -0.8. Let x = -0.5 - p. What is the closest to q in x, 0.2, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2623 = 120*a - 22063. Calculate the least common multiple of a and 2538.\nAnswer: 7614","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 + -ba158?\nAnswer: -ba156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**2 + 9*a + 45. Let x be n(-6). Let g(q) = -15*q + x*q - 10*q. Let i(l) = l - 26. Calculate i(g(f)).\nAnswer: 2*f - 26","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 34*h + 127 + 77. Let t(g) = g**2 + 5*g - 8. Determine t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7128?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 94*o - 30*o + 1 - 32*o - 30*o to the form a*o + t and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uwfffurwwfufrffff. What is prob of picking 1 r and 1 u?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -32560 + 1177*h + 32560 - 7152*h in the form n*h + g and give n.\nAnswer: -5975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 - 4*l - 23. Let z be y(7). What are the prime factors of z - 33\/(-18) - (-571)\/6?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 4*g. Let b(o) = 0*o + 4*o + 7*o - 14*o. What is b(x(h))?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 10059.\nAnswer: -1\/3353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 820*b**2*c*u**3 + 12*b**2*c*u - 20*b*c + b*u**3 - 4*c*u**2 - 7*u**3 + u**2 wrt b.\nAnswer: 1640*c*u**3 + 24*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 6*b + 0 - 6 + 2. Suppose 1886*v - 1951*v - 195 = 0. What is x(v)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 19447.6 to the nearest one hundred.\nAnswer: 19400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (-1 - (6 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 258451074 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 + 2 = 3*g. Calculate the highest common factor of 154 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 686119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/4*-20*(2 - (-9)\/15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 440896.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4 and 3.13297551653.\nAnswer: -0.86702448347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4772652 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 231 divided by -3\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 58733905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/(9\/(-12)) + -22. Let v be 6\/(-2)*42\/b. Let x be v - ((-12)\/(-4))\/(-3). Solve -4*q + x*q = -8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 4 = 3*b + 10, -4*b - 16 = 0. Suppose -2*r + g = -11, r - g - d = 2. Put 2, -1, r, 1 in descending order.\nAnswer: r, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 292020 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-14)\/4)\/((-3)\/6). Let i = 7 - l. What is the nearest to i in 0, -2, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 29482, 29451, 29412, 29371, 29334, 29307, 29296?\n\"Answer: m**3 - 10*m**2 - 8*m + 29499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 20019372?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 74 - 73.996. Let t = l + -23.004. Which is smaller: -1\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.22, -0.2, 0.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z**(-1))**(-38)*z**7\/((z*z**(-3\/7)\/z*z)\/z) assuming z is positive.\nAnswer: z**(-214\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*p**3 - 3*p**2 + 6*p + 3*p + 2*p**3 - 8*p to r*p**3 + s + i*p**2 + k*p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - 5bb0?\nAnswer: -5bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**3 - 5*d**2 - 2*d - 1. Let z(w) = 68*w**3 - 30*w**2 - 15*w + 22. Let b(v) = -6*h(v) + z(v). Find the second derivative of b(j) wrt j.\nAnswer: 444*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-4 + sqrt(405)*-1 - (-1*sqrt(405)*-2)**2 - (sqrt(405) + 1 + 5)*5).\nAnswer: 324*sqrt(5) + 9924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -3*m**4 - 13434*m**3 + 624453*m**2 + 637884*m = 0.\nAnswer: -4524, -1, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from {z: 1, l: 2, e: 1, m: 1, h: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = 10*v - 11*v + m, 5*m - 10 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 3*j + j - 15*j in the form v + i*j and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1872) - sqrt(1872)*1 - sqrt(1872) - sqrt(1872))**2 - (sqrt(13) + sqrt(13)*1)*2) + (1*sqrt(1300))**2 + -3.\nAnswer: -4*sqrt(13) + 8785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 + 4*x**2 + 10*x - 5. Give p(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p = 11*d - 221, 15*p - 232 = 18*p + 51*d - 46*d for p.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -240 = 19*w + 11*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 2*n**2 + 3 + 5*n**2 + 8*n - 8*n + (3*n - 3*n + n**2)*(4 + 7 - 16)*(6 - 26 + 7) to z*n + x + d*n**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*z**2 + z**2 - 4*z**2)*(-6*z**2 - 70*z + 70*z) to o*z**4 + d*z**3 + y + j*z**2 + t*z and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 837376462?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1838338324?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10883 - -130495\/12. Find the common denominator of z and 151\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 3*f = -0*r + 6, 2*r - 1 = -5*f. Suppose -7*g = -r*g. Solve g = -3*b + 2 - 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8910 - 8861. Calculate the remainder when 496 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8630, -17269, -25920, -34589, -43282, -52005, -60764, -69565?\nAnswer: -78414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 21*l - 28*l + 0 - 8*l**3 - 162*l**3 - 7. Let f be g(9). Round f to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 15*u**2 - u - 1. Give l(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*f - 10*f + 3 = -m, 5*m - 13 = 3*f. Calculate the greatest common divisor of m and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -212221 (base 3) to base 13.\nAnswer: -3a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*t + 16*t - 6*t as k + f*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -13 - 5. Differentiate -12 - 16*p**4 + 6*p**4 - 11*p**4 - w with respect to p.\nAnswer: -84*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*u**2\/11 + 17892*u\/11 - 1545264\/11.\nAnswer: 6*(u - 84)*(u + 3066)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n + 5. Suppose 0 = 5*y - y + 20, -5*r + 5*y + 60 = 0. Determine f(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, a: 1, k: 1}. What is prob of sequence ka?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 484439\/58982 - -4\/4213. Let o = 14 + -22. What is the common denominator of o\/56 - 2\/4 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, d: 2}. What is prob of sequence rdr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 7011.48 centuries?\nAnswer: 701.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -5, 4, -9 in descending order.\nAnswer: 4, -5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.38 + 2.38. Suppose -2*c - 32 = -6*c - 4*b, 20 = 4*b. Suppose -8 = -s - c. What is the closest to l in s, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 3*p = -9, -23595*p = -3*u - 23591*p + 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12222 - -2211222222220?\nAnswer: 2212000012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 4072 = -4*j, -10*j = -9*j + 2*l - 1031. Let s = -711 + j. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130365.10865 take away -38?\nAnswer: 130403.10865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.4 + 0.4. Let g = v - 0.1. Let d = 5309.8 + -5310. Which is the nearest to g?  (a) d  (b) 1  (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 - 11. Suppose 3*c + 2*d - 2 = 3, 0 = 2*c - r*d. Suppose 2*m - 20 = 2. What is the highest common factor of m and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 528231451*q**2 - 528231451*q**2 + 13*q**3.\nAnswer: 13*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 27.98 + -28. Let v = k + 0.02. Let y = 0.29 + 3.71. Which is the nearest to v?  (a) y  (b) -3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 PM and 3:48 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 15 - 5. Calculate the lowest common multiple of 16 and 5\/(w\/(-3)) - -17.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 113, 397, 951, 1865, 3229, 5133?\nAnswer: 7667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 165956 + -165902.9836. Let l = -53 + h. What is l rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105\/30*(-1 - -29) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 3*v + 2*v = 5*o - 12, -4*o - 16 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of r**3\/3 + 6*r**2 - r. Let b be c(-6). Suppose 3*q - 23 = q - w, 3*q + w - 36 = b. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of -7*n**4\/2 + 20*n**3 - 36*n**2 + 16*n - 6. Let k(l) = 0. Calculate l.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16491 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 58258274267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*v**2 + 2*v**2 - 50*v**2)*(-39*v + 74*v + 50*v) in the form z + c*v + d*v**2 + x*v**3 and give x.\nAnswer: -3570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 19393 + -114?\nAnswer: 1927c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11101 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 7 - 375588*f + 3074593*f.\nAnswer: 2699005*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the third derivative of 821*u**6\/120 + 365*u**3\/2 - 1368*u**2. Differentiate s(i) with respect to i.\nAnswer: 2463*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2557 - 94.4.\nAnswer: -94.1443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1850 - 0?\nAnswer: -1850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102) - -1*sqrt(102)*1 - sqrt(102))\/sqrt(216) + ((-1 + sqrt(612)*1)*-5)**2.\nAnswer: -1799*sqrt(17)\/6 + 15325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -47.48225 times -0.5\nAnswer: 23.741125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10783*o**4*q**2 + 2*o**3*q**2 + 17261*o**2 - 2*q**2 wrt o?\nAnswer: 258792*o*q**2 + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express f - 2*f + 14*f**4 - 1 - 2*f**3 + 4*f**4 - 4*f**4 - 20*f**4 in the form c + a*f**4 + x*f**2 + h*f**3 + p*f and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -35742.91 - -33901.4. Let g = o + 1851. Round g to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: c371 (base 14) to base 12\nAnswer: 17553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p**4\/5 - 72*p**3\/5 - 81*p**2 - 852*p\/5 - 612\/5 = 0. What is p?\nAnswer: -17, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 37\/26 equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -4*u**2 + 28*u + 9411. Let y(x) = 8*x. What is y(v(g))?\nAnswer: -32*g**2 + 224*g + 75288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-6))\/(6\/9*-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -9*x + 4*x, 2*d + x - 3 = 0. Suppose 2*f - 6 = -d. Solve -f*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 69 = 71. Let g(w) = -w**3 + 6*w**2 + 3*w - 6. Let s(i) = 7*i**3 - i**2. Let x be s(1). Calculate the remainder when z is divided by g(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-87)\/6525)\/(4\/339) and 1\/10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11000011 + -101001010001?\nAnswer: -100110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 120 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -124 divided by -11\nAnswer: 124\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*t = 131*t + 4*g + 1, -g = -2*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 7. Suppose g*q + 3*k - 414 = 0, -q - k + 404 = 2*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -3*l. Let s = 2 - l. Let z = 4.433 - -0.567. Which is the closest to 1?  (a) 0.03  (b) s  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 + 7*b**2 - 15. Let m be i(-6). Let z be (5976\/54)\/((-1)\/m). Let s = z - -18495\/8. Find the common denominator of 57\/4 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1459159 and 13910.\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 468\/(-56)*4868\/(-94926)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 PM and 4:32 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -41\/387 + -5\/43. Let n = -28.6 - -29. What is the second smallest value in x, n, -3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 - 2*i**2 + 5*i - 23. Let t be a(0). Is 4 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3133, -3126, -3119, -3112?\n\"Answer: 7*j - 3140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 t, and 1 i when three letters picked without replacement from ttstoinooiet.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 24376*a**3 - 34*a**2 + 170983*a.\nAnswer: 146256*a - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -109 + 184. Let f = q - 53. Let b(v) = v + 10. What is the smallest common multiple of f and b(-2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1491.07 take away 3.13?\nAnswer: -1494.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of q**6\/60 + q**4\/4 - 7*q**2. What is the second derivative of h(u) wrt u?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 2 p, and 1 y when four letters picked without replacement from plpylypplll.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2340 - -2341.638. Does b = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 2\/119  (c) -0.057\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**3 - 5*s**2 - 3*s + 8. Let q be f(-4). Suppose 3*d + 95 = t, 4*d - 3*d + 369 = q*t. Let u = t + -51. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of -g**5\/15 - g**4\/12 - g**3\/6 - g**2. Let r be d(-1). Let u(i) = i + 1. Let y be u(2). Put y, 1, r in decreasing order.\nAnswer: y, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-9))\/(-1*5\/60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c**4 - 38*c + c**2 - 3*c**4 - 197*c**3 + 97*c**3 + 93*c**3 as i*c + k + b*c**4 + x*c**2 + v*c**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 4, s: 4, b: 2, d: 1}. What is prob of sequence bdl?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7 and 513148?\nAnswer: 3592036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-361)\/(-76) + (-138)\/184?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -76588 divided by -6\nAnswer: 38294\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1712, 2066, 2416, 2762, 3104, 3442, 3776?\n\"Answer: -2*d**2 + 360*d + 1354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 495 = -4*z + 522, -2*i + 10*z + 22 = 14*z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*q - 6*q - 4*q to the form k + j*q and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27258 and 5447057.\nAnswer: 32682342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**3 + 380*d**2 + 272*d - 76544.\nAnswer: 4*(d - 13)*(d + 16)*(d + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lvlllvllvvl. Give prob of sequence vl.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*2*sqrt(143))\/(-5*sqrt(396)) + -5)*1.\nAnswer: -5 + sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -90 by 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 21.127 to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.0909913 rounded to two dps?\nAnswer: -2.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 - 1. Let y(k) = -25*k**3 - 50*k**2 - 85*k - 20. Let o(d) = -20*f(d) - y(d). Let o(j) = 0. Calculate j.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 313*m - 5*u - 20753 = 312*m, 0 = -2*m - 2*u + 41602. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g**5 + 6*g**5 - 2*g**5 + ((0*g + g + 0*g)*(-1 - 2*g + 1) - 1 - 2*g**2 + 1)*(4*g**3 - 7 + 7).\nAnswer: -14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of u**4\/12 + 4*u**2 + 294*u - 2. Let q = 6 - 3. Suppose -6*j + j - 12 = q*m, 4 = -2*j - m. Determine g(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8969 - -8943.972. Let o = z + 0.028. Let f = 1170 - 3515\/3. Put o, f, 1 in increasing order.\nAnswer: o, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (6 + -8 - -8) + 0 + 1264994. What is o rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1127 and 84084?\nAnswer: 1933932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -11900, -11898, -11896, -11894, -11892, -11890?\n\"Answer: 2*q - 11902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2955 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2796*1714.5.\nAnswer: 4793742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -411 (base 9) to base 6.\nAnswer: -1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8 or -24?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - 1) + 8\/60*36.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*y - 14 + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 423 a factor of 34647084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of 0*r**3 + 3 - 1\/2*r**4 + 0*r**2 + r. What is the first derivative of n(g) wrt g?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 0*s**3 + 3 + 0*s**3 + 3 - 9*s**3.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134 = 4*x - 142*p, 3*x - 4*p - 14815 + 14813 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 34172 and -39?\nAnswer: 34211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 - (-6 + 1 - -7). Let d be (700\/(-102) - q) + 5\/1. Is d greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 71, 1112, -52\/9?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 + 9. Let n = r + 2. Solve -3*i + 8*i = n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes before 4:35 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20 + 196*y - 6 + 24 to t*y + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 + -1 + 8\/2. Suppose 0 = -o, -l*u + 2*o + 18 = o. What is the common denominator of (((-93)\/u)\/1)\/(312\/(-9)) and 29\/12?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 17 and 62.4522?\nAnswer: 1061.6874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10340 and 86292.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 88117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 2*c - 4*c - 2 = 0, 2*d + 11 = 3*c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from {b: 3, h: 3, y: 3, r: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 4. Let n be (-2)\/5 - o\/5. Let c = 10\/21 + 1\/42. Which is smaller: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27865878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -112 (base 9) in base 6?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -621 - -648. Calculate the least common multiple of 5 and p.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of 3*t**2\/2 - 2*t - 6. Let b(i) = -i + 1. Suppose -2*f = a, -2*f + 2 = 2*a + 4. What is f*x(v) + 2*b(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 24*v - 2 - 2 + 9*v - 32*v + 18*v. Let b(d) = 6*d**2. What is u(b(c))?\nAnswer: 114*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 34.589, -3, -2 in decreasing order.\nAnswer: 34.589, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 AM and 1:43 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of 0*o + 0 + 0*o**3 + 11*o**2 - 17\/60*o**5 + 13\/24*o**4. Let v(z) = 4*z**2 - 3*z. What is 6*u(p) + 26*v(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 11:57 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ah when two letters picked without replacement from abjladhaaabaajaaaa?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s + 23818 - 28049 = 101105. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that w**2 + 363*w + 362 = 0.\nAnswer: -362, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -42, 0, -5 in increasing order.\nAnswer: -42, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or 0.718335?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10420 and -0.16.\nAnswer: 1667.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -43, -3, -5 in increasing order.\nAnswer: -43, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -583*a - 587*a + 246*a = 27720 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*k - 13*k + 31658. Let p = k + -825. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 14*o - 8. Let a(h) = -9*h + 5. Let k(q) = -25*a(q) - 16*t(q). Let c be 2\/4*-2 - -5. Determine k(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(3\/6 + 56\/(-80)). Let w(l) = l**2 - 7*l + 4. Give w(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.27113442 + 0.04886663. Let r = -0.32 + n. Round r to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t**3 + 5640366*t**2 - 16921107*t = 0. Calculate t.\nAnswer: -5640369, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 19698448 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4420, -9091, -14254, -20155, -27040, -35155, -44746?\nAnswer: -56059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from {e: 5, q: 1, t: 2, b: 2, k: 1, p: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 399, 14, 13, -12 in descending order.\nAnswer: 399, 14, 13, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*n + 51 = 5*i, i - 27 = -36132*n + 36128*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 391584 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 8:53 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 159, -2089, -8211, -20151, -39853, -69261, -110319, -164971?\nAnswer: -235161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8281067 divided by 3?\nAnswer: 8281067\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 184 and 44827?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 + -10. Let k(h) = 43*h - 1 + 2 - 44*h - 7. Determine k(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*g = 19*g - 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-170))\/(2*(-5)\/25)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 26 - 6, 3*d - 5*j - 26 = 0. Suppose 0 = 5*z - 4*v + 8, 4*v = 3*z + d*v + 4. Differentiate 6*p - 2 + z - 2 - 3 wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -104434000 to the nearest one million.\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2 - (-75)\/(-35)) + (-6018)\/(-41930). Let f = r + 212637\/11980. Let x = -462\/5 - -4081\/40. Find the common denominator of f and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1349 is divided by 169.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -117215*w + 10*w**3 + 117215*w.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -2.9. Let r = -10.03 + 0.43. Let j = r + 10. Sort 4, p, j.\nAnswer: p, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9041882363?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 660037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 6559, 26439, 59651, 106189, 166047, 239219, 325699?\n\"Answer: -b**3 + 6672*b**2 - 129*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -24 - -17. Suppose 4*k - 2*k = 20. Let y = w + k. Solve -5 = -5*i + y*b - 2, -i - 13 = -4*b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 5:16 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 3415 times 7\nAnswer: 23905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 24*f**2 + 105*f - 33. Let c(z) = 3*z**2 + 13*z - 4. Give -33*c(y) + 4*q(y).\nAnswer: -3*y**2 - 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -32010 - 1?\nAnswer: -32011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -56674 * -338\nAnswer: 19155812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-160)\/(-280)*9*(-2)\/(6\/1).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - s = 299, 3*r + 2*s + 2*s - 248 = 0. Suppose 0 = q + q - r. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - -16 - (5 + 17)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of h**3\/2 + 39*h. Let t(c) = -8*c**2 - 5*c - 5. Let b(q) = 4*q**2 + 3*q + 3. Let a(y) = -10*b(y) - 6*t(y). Give w(a(p)).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1198.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -8*p - 9*p + 27*p - 9*p. Let r(s) = 17*s + 1. Calculate r(f(t)).\nAnswer: 17*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 3*f**3 - 759*f**2 + 46848*f + 147456 = 0.\nAnswer: -3, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10\/5 - (-2 - -4). Let p(o) = -o**3 + o + 257. Is p(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 51 in -2, -3, 3\/23, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60803?\nAnswer: 41, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*o**4 + 2*o**4 - 2*o**4 + (-24*o**2 - 11*o**2 + 17*o**2)*(5*o**2 - o**2 - 2*o**2) as f*o + r*o**3 + j*o**4 + l*o**2 + q and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of x**3\/3 - 4*x**2 - 1. Let s be q(7). Let j be (-4)\/(s\/(-9) - 1). What is the highest common factor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1329356472 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 519?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 208415436.\nAnswer: 2, 3, 353, 49201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5839430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(68))**2 + -2.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -384 divided by -2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 14\/(-5)*5*3. Suppose 291 - 189 = 2*c. Let h = u + c. Calculate the lowest common multiple of 7 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*b**2 + 1 - 214*b**3 + 429*b**3 + 3*b**4 - 216*b**3 + 2*b as p*b**3 + o*b**2 + s*b**4 + x + a*b and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1ac23 (base 14) in base 5?\nAnswer: 4140424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, 0, -68 in descending order.\nAnswer: 0, -16, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3238a6 (base 15) to base 10.\nAnswer: 2391456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 319 + -166. Let i = o - 97. Suppose 49 - 904 = -15*c. Is c at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -6*i**5\/19 + 16*i**4\/19 + 2934*i**3\/19 - 35816*i**2\/19 + 110040*i\/19 + 40768\/19 = 0?\nAnswer: -26, -1\/3, 7, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 3*t**2 - 124*t + 171. Let m be q(40). Solve -4*i = v - 4*v - m, 5*v = i - 24 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 4*b**2 - 54*b + 10. Let q(x) = 11*x**2 - 132*x + 24. Let y(v) = -12*o(v) + 5*q(v). Give y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2147, -2642, -3105, -3542, -3959?\n\"Answer: -g**3 + 22*g**2 - 554*g - 1614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of -7*h**5\/60 + h**4\/24 + h**3\/6 - h**2. Let t be (-6)\/(-33) - 42\/(-11). Let i = -5 + t. Give n(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -451 or -452?\nAnswer: -452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*g = 75*g - 16728. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 314 and 768.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 2*t + 6. Suppose -2*v + 7 = h, 5*h = -7*v + 4*v. Let z(m) = m + 6. Calculate h*z(l) + 2*r(l).\nAnswer: l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - u + 5 = 34, -3*v = -5*u - 5. Is -1 - (10515\/v - (0 + -1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -77558.0648 rounded to the nearest ten?\nAnswer: -77560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cggtllggllallzgc. What is prob of sequence az?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1591417510?\nAnswer: 2, 5, 1627, 97813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 49232921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 1103?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17 - -17.00141. What is l rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*4\/16 + 26. What is the common denominator of -12\/5 and (12\/8)\/(h\/21)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 253033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1652735*v**4 - 3*v**2 - 5441304*v.\nAnswer: -19832820*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let t = -1016 + 1018. Let l = 0.1 + -0.3. Which is the closest to 1\/4?  (a) t  (b) l  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-46) - (-869)\/(-1265)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16095 - 9575. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -3*u + 6, -2*y + 3*y + 2 = u. Suppose u = -6*s - 10. Which is bigger: s or -46\/17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -7211.\nAnswer: -1442.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1 + 1 + 6 - 9*z**2 wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -16\/3*k + 2 + 32\/9*k**2 = 0. Calculate k.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5704 and 1656?\nAnswer: 51336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 - 22*i - 57. Give d(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 593285 a multiple of 469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*h**5 + 41*h**5 - 9*h**5 - 3 + 3 - h**5 + 6*h**5 - 2*h**5 - 2*h**5 - 3*h**3 + 3*h**3 + h**5 + (0*h + h + 0*h)*(h**4 + 2*h**4 - 2*h**4))*(3 + 3 - 2).\nAnswer: 196*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49987145.\nAnswer: 5, 13, 769033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v - 5*v + 0*v + (27*v + 3*v - 3*v)*(-2 + 0 + 3) + 5*v + 0*v - 3*v.\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2631*u + 1306*u + 1315*u. Let x(h) = 1645*h**2. Give x(k(q)).\nAnswer: 164500*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 76814901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**2 + 237*l - 10230.\nAnswer: 3*(l - 31)*(l + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the third derivative of -125*v**2 + 0*v + 0 + 4\/5*v**5 + 0*v**4 + 0*v**3. Let h(p) be the second derivative of p**3\/3 - p. Give g(h(c)).\nAnswer: 192*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gogv when four letters picked without replacement from qqgoguvbb.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6868 + 8809. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004671 to five dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -5 + 575*f - 536*f - 2 + 4. Give a(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/24530 and -139\/1092700?\nAnswer: 12019700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.27, -6\/5, -3 in decreasing order.\nAnswer: -0.27, -6\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -132, -504, -1116, -1968, -3060, -4392, -5964?\n\"Answer: -120*k**2 - 12*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 2*o**2 - 3*o + 9. Let y(w) = 2*w**2 - 2*w + 6. Let v(z) = -2*l(z) + 3*y(z). Let k(j) = -41*j + 4. Determine k(v(i)).\nAnswer: -82*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4 + (-4)\/(-4) + 9*6 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1850*g**2 - 4920*g**2 + 3041*g**2.\nAnswer: -29*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-34)\/(-6))\/(7\/42). What is the first derivative of 12*z + 15 + 17 - p wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from fcrelcrecoecfo.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 107 - 0?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-40)\/(-15) - (-4)\/(-6). Sort 1, x, -5.\nAnswer: -5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 144*g**2 + 27*g. Let x(c) = -11*c**2 - 2*c. Let v(r) = 2*r**2 + 47*r + 10. Let a be v(-15). Let n = 272 + a. Determine n*x(j) + 2*q(j).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 - ((-12)\/5 - -2). Let w be ((-6)\/(-2))\/(15\/218). Let z = w + -44. Sort f, -2\/9, z.\nAnswer: f, z, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -0.7, 7923.36, -1\/2, 0?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 20\/(-6 - -2) + (-3030025)\/(-5). Round p to the nearest ten thousand.\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*g + 13*g - 4 + 4 to the form t + y*g and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 + 6*x. Let i be o(6). Let d(a) = 6*a**2 - a**2 + a + 0*a + 7 - 6*a**2. Calculate d(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 20430 - -111341?\nAnswer: 132211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**2 + 399. Let y be a(0). Suppose 0 = -2*q + 5*q - y. What is the highest common factor of q and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 14) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 PM and 7:41 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n and 1 d when four letters picked without replacement from ggdnnjjndn?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of 0 + 0*x**3 - 11\/60*x**5 + 0*x**4 + 0*x + x**2. Let b(o) = -o. Calculate j(b(f)).\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of -x**3\/3 + 5*x**2\/2 + 5*x + 11. Let a(d) = d**2 - 3*d - 3. Let w(z) = -5*a(z) - 3*u(z). Let r(i) = 18*i. Give w(r(f)).\nAnswer: -648*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of -u**6\/120 + 3*u**5\/20 - 17*u**4\/24 + u**3\/6 - 803*u**2. Calculate q(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -108 and 2.3558.\nAnswer: -254.4264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4559796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19584.6301 + 19586. What is l rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/(-168))\/(-5)*-12?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4487800 is divided by 1884.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*-1 - 0)*(-1352)\/(-7 - 97).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -5 - -3 - (-5 - -2). Are 4\/17 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132)\/(sqrt(16)\/sqrt(4))*-5)\/(4*(sqrt(75) - sqrt(75)*2)))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 72492.6 millennia?\nAnswer: 72492600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 463 - 458. Solve 3*h - 4 = -0*q + q, 0 = -g*q - 3*h + 34 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -98 divided by 597?\nAnswer: -98\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = k - 15, 3*k + s = 6 + 27. Let x be 3*4\/k + -19. Is (-609)\/2*12\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6065950 times -8\nAnswer: -48527600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 402418663?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p\/(p**1\/p*p)))\/p)\/p**6*(p\/p**(1\/2))\/(p**(-10)\/p*p) assuming p is positive.\nAnswer: p**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 < -7294\/3267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -336 - -335. Let u = -3.2 + 3. Let w = 10 + -22. Which is the nearest to d?  (a) w  (b) u  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 96 + -482\/5. Let s = 15 - 12. Which is the closest to -0.02?  (a) d  (b) s  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-36)*(1 + 2)*-10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 - (34 + -8 - (34 + -10)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1048 + -677. List the prime factors of b.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes after 5:53 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zeewrrevhwwzezzhrrvw. Give prob of sequence rzez.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4\/493 + 550\/53737. Let v = -886.5 + 882.5. Which is the closest to -2?  (a) u  (b) -0.1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14 - 204142114?\nAnswer: -204142133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*f**4*s - f**4 - 12*f**3*s + 5*f**2*s - 4*f**2 + 4*s wrt f?\nAnswer: -96*f*s - 24*f - 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 3*q = -53, d - 31 = -2*d - 2*q. Solve 0 = -4*c + 1 - d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, 37, 101, 217, 403, 677, 1057?\nAnswer: 1561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19306.021 + -19306. What is the closest to -2 in y, 0, 5\/3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1467 and -288?\nAnswer: 42.2496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/3)\/i**1)**(26\/3)\/((i*i**3*i*i*i*i\/((i*i**(-1\/4))\/i))\/(i\/(i\/((((i\/(i*i**0))\/i*i)\/i)\/i)))**26) assuming i is positive.\nAnswer: i**(-2689\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -25*o**3. Let g be 14 + -18 + (-35 - -1). Let c(v) = -2*v**2 - 77*v - 39. Let b be c(g). What is a(b)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174369553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 484 is divided by 232.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 400969775?\nAnswer: 5, 61, 241, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*b + 4 - b**2 - 2*b**3 - 2 + 14*b - 4 in the form u*b**2 + h*b + z*b**3 + f and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 90016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 763636 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 16802903031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 0 + 1)*(-4 + 5*c - 7*c + 13) in the form v*c + d and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*g - 51*g + 1367 - 417 = 0. Let k(y) be the first derivative of y**4\/4 - 26*y**3\/3 + 13*y**2 - 22*y + 25. Give k(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 23*c**4 + 12*c**5 - 3*c**5 - 26*c**4 + 4*c**2 - 10*c**5.\nAnswer: -c**2*(c - 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/((-10)\/(-5))*2\/(-9)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -914 - 354. Let c = l + -221. Calculate the highest common divisor of c and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + -1000101111001001001101111011?\nAnswer: -1000101111001001001101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -241 - 3343555?\nAnswer: -3344126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-898)\/(-10) - (-13)\/65. What is the highest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(162)\/((sqrt(9) - sqrt(81))*-1) - ((sqrt(144)*-2)\/sqrt(8) + ((sqrt(1800)*-2)**2 - sqrt(18))).\nAnswer: -7200 + 21*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 315179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 491*u + 1362. List the prime factors of n(26).\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y**2 + y**2 + y**2 - 2)*((1 + 3 + 0)*(y - 3*y - 2*y) + 3*y - 5*y - 5*y - 3*y + 4*y - 4*y + (1 + y - 1)*(4 + 2 - 5)).\nAnswer: 50*y**3 + 50*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.6 - 0.76. Let v = -0.63 + r. Round v to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and -342?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2261 + 12*k**2 + 2*k - 1617 - 644.\nAnswer: 12*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-25)\/(-10)*41\/(-5)*-2 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -0.3712\nAnswer: -1.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 830 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.278948 + -1.8?\nAnswer: -2.078948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -46, -37, -28, -19, -10, -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1121710 + 14?\nAnswer: 1121724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/((1*sqrt(14))\/sqrt(2)) - (-4 + (sqrt(162) - (sqrt(162) - (sqrt(162) + -1))))**2.\nAnswer: -187 + 91*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -41785 (base 12) in base 6?\nAnswer: -1501045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (26 - 6) + (12\/(-2) - 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 117515, 235025, 352535, 470045?\n\"Answer: 117510*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 11*q**3 - 27*q**2 - 19*q - 20. Let u(y) = -16*y**3 + 41*y**2 + 29*y + 28. Give 7*l(w) + 5*u(w).\nAnswer: -3*w**3 + 16*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pfpf when four letters picked without replacement from {p: 3, f: 12}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -12 times 0.003\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 74 - 75. Let d be (12 - 12)*g\/2 + 3600. What is d rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**2 - 13*b + 11. Let v be (-16)\/2*(30\/50 + 189\/(-90)). Give k(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of -i**4\/12 + i**3\/3 + 5*i**2\/2 - 13*i. Let p be h(0). What is the second derivative of p*v + 11*v**4 - 42*v**4 - v wrt v?\nAnswer: -372*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15868174?\nAnswer: 2, 7, 17, 61, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 4*w = 16, w - 15 = 5*k + 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23, 39, 61, 89, 123, 163?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -19*n**3 + 0 - 2*n**2 - 3*n - 13 + 10 + 1. What is r(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6768730915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -568764 divided by -4\nAnswer: 142191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 + 5*s**2 + 5 - 4 - s**2. Let b(r) = r**2 - 3*r - 2. Let k be b(4). Does 3 divide h(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 10 + -4 + (-8)\/(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/51 - (-18584)\/4692. Solve j*r = -2*n, -r + 6*r - 2*n = -27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times 162079736?\nAnswer: 324159472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.6397 - 1.1206. Round x to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 49*f + 4 + 9 - 53*f + 2 to the form l + c*f and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-174)\/319*4\/(-6).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 2 = -s, -4*s - 12 = -4*z - z. Let -8 + 2*i**3 - 2*i**5 - 10*i**2 - 2*i**2 + 24*i + 6*i**z - 10*i**2 = 0. What is i?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -20 + 22 - (-1 - 38\/(-14)). Let u be (-410)\/(-252) - 21\/14. Let b = u + -1\/18. Sort b, 1\/6, w in decreasing order.\nAnswer: w, 1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*k**2\/4 + 155315517*k\/2 + 8040969940325763\/4 = 0. Calculate k.\nAnswer: -51771839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 + 4*t - 2. Suppose 4*c + 3*w - 9 = 0, 0 = -2*c + 3*c + 4*w + 1. Let v be r(c). Let m(f) = 7*f**2 + f - 1. Is m(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express x**2 - x**2 + 6*x - x**2 - 4*x**3 - 7*x in the form c + g*x**2 + a*x**3 + i*x and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23138 is divided by 906.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 359329939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 + 11*v**2 - 8*v - 2. Is 22 a factor of r(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2122697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 155403040 - 2?\nAnswer: 155403035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 25 = -5*l, -p - 13 = -4*p + l. Solve 0 = -5*z - p - 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 10 and 15\/529051 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*2\/48*(-8976)\/(-1683).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-17))\/d**(-26)*d**18\/(d**1\/d) assuming d is positive.\nAnswer: d**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -3649, -3657, -3665, -3673, -3681?\n\"Answer: -8*f - 3641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 354*m + 25499. Determine k(-72).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times -73427.689?\nAnswer: 220283.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41885780.\nAnswer: 2, 5, 631, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2 + 15*v + 3. Let s(j) = j**3 - 23*j**2 - 50*j - 6. Let g be s(25). Let k be q(g). Is 23 a factor of k\/(2*3\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 + -35. Let i = -34 - r. Calculate the greatest common factor of i and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11.0887 - -0.0887. What is the fourth biggest value in -7, g, 0.5, 10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(121)\/(sqrt(704)*3))**2.\nAnswer: 11\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 158, 704, 1622, 2918, 4598?\nAnswer: 6668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - ((-24 - 2) + 32).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 70 and 110.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 181298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 199.\nAnswer: 4\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 AM and 1:47 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 113.241 rounded to one decimal place?\nAnswer: 113.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22122594*x**2 + 995498*x**2 + 29216448*x**2 - 15617665*x**2.\nAnswer: 36716875*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l**3 + 4*l**3 + 2630489*l**2 - 2630489*l**2.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 7 = -5. Let k(z) = -11*z**q - 6 - 9*z**2 - z**3 + 16*z**2 + 3*z. Give k(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 279257 is divided by 193?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + c - 12. Suppose -c = -i + 2*i. What is the remainder when (4\/i)\/(4\/(-162)) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand c**2 - c**2 + c**2 - 3*c**2 + 3*c**2 - c**2 + (-c + c + c)*(-2*c - 2 + 2) + (-2*c + 0*c + 4*c)*(0*c + c - 2*c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = 93*w - 97*w + 26, -2 = 2*q + 2*w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 16373 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16 by 37748.\nAnswer: -4\/9437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 35490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22200 is divided by 505.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 67 - 471\/7. Let u = -71 + 76. Suppose 0 = -5*k - m + 7, 0*k - u*k + 4*m - 3 = 0. What is the nearest to q in 5, k, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -4*a, -23152*q + 23154*q = -a + 18 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 u when four letters picked without replacement from {o: 8, l: 6, v: 3, u: 2}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 2*o - 266, 526*w - 523*w = -3*o - 186. Which is smaller: -464\/7 or w?\nAnswer: -464\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 975*d + 15. Let s(t) = 38511*t + 594. Calculate -198*i(m) + 5*s(m).\nAnswer: -495*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 9:12 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -10  (b) -0.2  (c) -4\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-3)\/8*18*(-48)\/(-126) and -25\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -450 + 550. Let j be l\/1050*(9\/2)\/(-3). Let h = 0.06 - 0.36. Is h at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-32)\/(-12)*((-204)\/8)\/(-17)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33150 is divided by 32615.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 24*k**2 + 47*k**2 + 14*k**2 + (0*k**2 - 5*k**2 + 3*k**2)*(8 + 3 + 7).\nAnswer: 49*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -11, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qy when two letters picked without replacement from {y: 3, q: 1, h: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 176, 640, 1504, 2840, 4720, 7216, 10400, 14344?\nAnswer: 19120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 + 0. Suppose -4*a - 5*t = -56, -3*a + 35 = -f*t - 7. Calculate the remainder when 54 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 0*p = 5*p - 44, 0 = -7*p - 26 + 75 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 + 0*5\/20. Suppose a = 4*s - 791 + 115. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = 5*m - 241, -3*m = -4*v + 219651 - 219882 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0015856667 to five decimal places.\nAnswer: -0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v**4 + 0*v**4 - 3*v**4 - 2*v**4 + 0*v**4 + 0*v**4 + (v**3 - 2*v**3 + 2*v**3)*(0 + 0 - v) + v**4 + 0*v + 0*v)*(1 - 1 + 3).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/44*(-3)\/(-2)*8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -424 divided by 106?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.5 - -9.5. Let p be (10\/9)\/(-1) + 1. Which is the closest to l?  (a) p  (b) 0.4  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18071 + 18070.4. Let q = 0.1 - 0.2. Which is the third smallest value?  (a) q  (b) 13  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 2*g**2 - 2*g + 2. Let j be b(2). Suppose -20 = -j*w + w. Let v = -6 - -3. Put w, 2, v in ascending order.\nAnswer: v, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ec943 + -2?\nAnswer: -ec945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 37*i**2 + 8*i + 5. Let g(w) = -w - 22. Let y be g(-18). Is x(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 43, -10, 223, 0, 4 in descending order.\nAnswer: 223, 43, 4, 2\/9, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1305\/(-174)*40\/(-3) is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 148 and 5476?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.1 - 0.1. Let v = 1 - 0. Let p = v - u. Which is the closest to -0.1?  (a) 5  (b) p  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/7?  (a) -4\/5  (b) 5  (c) -3  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5358952 kilometers to meters.\nAnswer: 535.8952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-1 - 0\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 52023, 52035, 52047, 52059, 52071?\nAnswer: 52083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k + 3, -4*x + 5*k + 4 = -1. Let z(w) = 59*w + 93. What is the hundreds digit of z(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 - 8*i**2 - 15*i + 2. Calculate the lowest common multiple of d(-3) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*h*o**2 + 175*h*o*q*s**2 + h*o + 2*h*q*s + 4*h*s**2 - 2*h - 3*o**2*q*s**2 + o*s + 34*s wrt s.\nAnswer: 350*h*o*q + 8*h - 6*o**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((2*sqrt(720) + sqrt(20)*2*-6 + (-2*sqrt(2000) - (sqrt(320) + 1)))*-1)**2.\nAnswer: 480*sqrt(5) + 57605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -53 + -1 + 21 + 10.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -32 greater than or equal to -410\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 25 + 20?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 4*y - 25. Let c be (-6)\/16 + 413\/56. Let p be l(c). Suppose -2*d + 2*o = 0, 0 = -d - p*o - 2 + 10. Solve -2*m + 4 = -d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (-6)\/(-3))*(96\/(-64) + 9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 116 and 15101257.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.26 times 226\nAnswer: 58.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/1968 and (-1 - 9) + 83*(-12)\/(-168)?\nAnswer: 13776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -291932, -291992, -292052, -292112, -292172, -292232?\n\"Answer: -60*b - 291872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2252*u = 2249*u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -2*k + 50, -5*k + 3*p = -0*k - 125. Let h = k + -12. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*f**4 + 28*f**4 + 72*f**3 - 11*f**4 - 8*f**4 + 296*f**2 wrt f.\nAnswer: -48*f + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yfhlqqny. What is prob of picking 1 q, 1 h, and 1 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (-3 - 0 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9956, -9963, -9970, -9977, -9984?\nAnswer: -9991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 202 - 207. Let s(d) = 4*d - 10. Let t be s(9). Let n = t + h. What is the highest common factor of 147 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 31*z - 19*z - 11*z. Let y(h) = 0*h + 2*h - 4*h. Calculate y(u(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (3 - 3 - -2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 73?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -166954689 divided by 297\nAnswer: -562137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -220706708*x**2 + 89582260 with respect to x.\nAnswer: -441413416*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50426009 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3351850660 to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.01 in -4, -37, 0.5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3294 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 1498*x**2 - x + 180*x**2 + x + 0*x. Let j(y) = -y. Determine f(j(b)).\nAnswer: 1678*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*s + 31*s - 114*s - 109*s**3 + 34*s + 31*s.\nAnswer: -109*s**3 + 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/4*4\/4*9*(-68)\/(-51).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 AM and 2:08 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sccsssccscsss. Give prob of picking 1 c and 1 s.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (8\/336)\/(7\/6*(-165)\/385)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1172 * -2.\nAnswer: -2344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -94470 or -94454?\nAnswer: -94454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 49471.7 centuries in years?\nAnswer: 4947170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -9  (b) -2\/3  (c) 1\/11  (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -1. Let i(p) = p - 7. Let m(o) = i(o) - 2*y(o). Let q be m(10). Solve -w - 1 = -h, w + q = 4*w - h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.16 + 36.5304\nAnswer: 36.3704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dbbmmbbbbdvsds. Give prob of sequence svbb.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3774501079 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -24*y**2 - 6*y - 12. Let q be l(-3). Let a = q - -7. Which is bigger: a or -204?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9518602 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 0*p**2 + 4*p**2 + 2*p**2. Let u(o) = -22*o - 5. Let f(b) = -9*b - 2. Let y(g) = 5*f(g) - 2*u(g). What is v(y(l))?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1.032876 times 0.5\nAnswer: -0.516438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 400 = 54*z + 48 - 80 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + -11000?\nAnswer: -11002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 2 + 0)*(7*d**4 - 4*d**4 - 2*d**4) - 3*d + 3*d - 6*d**4 + 3006*d**4 - 2*d + 4*d - 3004*d**4 - 6 to s*d**3 + m*d**4 + a*d**2 + o*d + f and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 59, 50, 37, 20, -1?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6.839 - -6.909. Which is the closest to 1?  (a) -3  (b) g  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -837 or 0.2?\nAnswer: -837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -504 = -26*l + 20*l. Let r be (-35 - 0)*(-6 + l\/15). Solve -5*c - 3*g + 15 + 6 = 0, 4*c + g = r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 6. Let u = w - -8. Sort u, -4, 1 in descending order.\nAnswer: u, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the third derivative of z**5\/12 - z**4\/6 + 4*z**2. What is the second derivative of y(i) wrt i?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + 2. Let v(f) = f**3 - 5*f**2 - 3*f + 12. Let r be v(6). Suppose r = h*n + n. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 392907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 - 15. Suppose c*m = m - 1. Let o = 53\/21 + -8\/3. Which is smaller: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22481930?\nAnswer: 2, 5, 1399, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1170643\/377 - 8\/52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1502 and 1017761959.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t + 4 + 4. Let i be (14\/(-6))\/((-77)\/132). Solve -3*k - 34 = n + i*n, 5*k + 25 = -t*n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.362 and 14989348543.\nAnswer: 14989348543.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/5  (b) -1\/11  (c) -0.04  (d) -5  (e) -4\/45  (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (35\/10)\/(1\/16) - 4. Suppose -2*f + i = 26. Suppose -f*m + 15*m - 224 = 0. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -42200 and -1.62?\nAnswer: 68364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.34 - 0.105. Let j = l - 0.2211. What is j rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78090187819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zc when two letters picked without replacement from ccszcsqasqo?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 65130\/(-45)*(-2 + 16\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1\/(-6))\/(255\/(-918)))\/((-9)\/315).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-180)\/1020*10\/(-12). Is n bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5953877.\nAnswer: 223, 26699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*h + 41 - 9*h - 41 to the form y + a*h and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 90\/225 + (-2)\/5. Solve -4*b + 1 = -y + 2*y, n = -3*b - 2*y + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -117 - 167?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 468160 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.33 - 0.17. Let u = -13 + 7. Let t be (-2)\/(-7) + u\/21. Which is bigger: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**2. Let x(g) = g + 20. Let v(a) = -a - 13. Let c(h) = 8*v(h) + 5*x(h). What is s(c(j))?\nAnswer: -9*j**2 - 24*j - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*x**5 + 0*x**5 - 2*x**5 + (4 - 4 - 2*x**4)*(x + 4 - 4) + 3*x**5 + 0*x**5 - 2*x**5 + 4*x**5 - 8*x**5 - 7*x**5.\nAnswer: -14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 323*n - 80*n + 26130 = -427*n for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 90*g. Let f(n) = n. Give f(i(o)).\nAnswer: 90*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**3 - 10*r**2 - 28*r + 47. Let a be t(12). Which is greater: -346 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = g - 2. Let p(t) = t + 12. Let j be p(g). Suppose -4*o + 22 = 6, 2*m = 5*o - 8. Is j smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32321 (base 5) to base 9.\nAnswer: -3026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.178 and 77?\nAnswer: -13.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15265 - -1603. Calculate the highest common factor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 2\/17  (b) 1  (c) 0.8706  (d) 4  (e) 3  (f) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 43, 37, 1 in decreasing order.\nAnswer: 43, 37, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -844, 3, -34039 in descending order.\nAnswer: 3, -844, -34039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -1702 - 6713. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1447, 1908, 2659, 3700?\n\"Answer: 145*x**2 + 26*x + 1276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6089\/396)\/(28\/(-6)). Let v = s - -19\/168. What is the common denominator of -11*4\/(-24)*(-3)\/4 and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 189482432 divided by -94741216.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 + -10. Let r(v) = -3*v + 4 + t*v + 3. Let u be r(11). Solve 3*l - u = 5*l + 5*j, 0 = -3*l - 2*j - 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133 = 51*q - 70*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(17) + 3 + -2*(sqrt(51)\/sqrt(3))**2.\nAnswer: -31 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3.1 and 0.5.\nAnswer: 1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-78)\/(-8) + 3\/12. Let k = l - 3. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 175\/3 - 60. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -3400*n - 22. Let i(w) = -2*w. Give i(k(p)).\nAnswer: 6800*p + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 2\/5, -2\/5, -0.3, -55, -0.138, 14?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16994 - -17330. Solve v = 61*c - 13*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:11 PM and 9:02 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccrcyogoyccycrcxxgy. Give prob of sequence rc.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from iiq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2557 - 2561. What is the third smallest value in 0, -5, -0.044, m?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -9*f**2. Let u(a) be the second derivative of a**5\/30 + 77*a**2\/2 + 23*a. Let m(j) be the first derivative of u(j). What is o(m(w))?\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -4*h**2 - 62 + 62. Let k(f) = f**2. What is y(k(o))?\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5123056 by -2561528.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 35001*n**3 + n**2 - 2*n. Let m be l(-2). What is m rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of -13*k**5\/20 - k**4\/6 - k**3\/3 - k**2\/2 + 4*k. What is the tens digit of v(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 728 and 104?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 324463 - 5?\nAnswer: 324459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 170\/30 + -6 + 7\/42\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*s**3 + 34432*s**2 - 9536720*s + 671380544 = 0. Calculate s.\nAnswer: 142, 8324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(180)\/sqrt(9))\/(sqrt(100)*3).\nAnswer: -4*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 2*h**2 - 37*h + 69. Let g be w(2). Solve 5*y + g*y + 40 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = z - 9, -3*z + z = -5*c. Find the first derivative of 39 - o**2 + 3*o**c + 28*o**2 wrt o.\nAnswer: 60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-23)\/115*-2*(3 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mgeupngn. What is prob of picking 1 e and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -669360*r**4 - 4*r - 104150 wrt r.\nAnswer: -8032320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -5.1. Suppose 2*q + 4 + 4 = 0. Let h be q\/(-60) + (-2)\/(-6). Sort -4, h, c in decreasing order.\nAnswer: h, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 672779532 to the power of 1\/2, to the nearest integer?\nAnswer: 25938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (9 + (-2015)\/225)*(1 + 2). Find s such that n + 2\/5*s**2 - 2\/5*s - 2\/15*s**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 506311073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -156*d**2 + 27*d**2 + d + 59*d**2 + 70*d**2 + 8*d**3.\nAnswer: 8*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 84.3 * 9.83.\nAnswer: 828.669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93 + 1150 = 133*l - 7 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6 or 626.82857?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -7  (b) -9\/4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5809 and -4.\nAnswer: 5805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -101 + 110. What is the greatest common factor of 117 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -18*g + 21. Determine r(6).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 14759589 or 14759580?\nAnswer: 14759589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 18*v**2 + 2457*v + 1 - 2457*v. Calculate z(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1805616012 or 1?\nAnswer: 1805616012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 8) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(60\/25)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2. Let x(f) = 3*f + 1673. What is v(x(d))?\nAnswer: -9*d**2 - 10038*d - 2798929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 10 + 0 = 4*k, -2*i = -5*k + 13. What is the remainder when 15 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 44*c**2 - c - 9. Let r be f(3). Suppose 6*g - 14*g = -r. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-5)\/(-2))\/(1\/(-2)). Let p be (-2)\/l - 726\/(-10). Suppose -3*c - 3*d - 4 = -37, -d - p = -5*c. Calculate the greatest common factor of 154 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 231791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.688 - -1.788. What is the closest to t in -2, 94, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-l**2 - 13*l**2 - 7*l**2)*(-5 + 1 + 2)*(-2*l - l + 2*l) as d*l**3 + z + w*l**2 + p*l and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (245\/(-588))\/(11\/(176\/90)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -0.17  (b) 5  (c) -2\/11  (d) 287\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - -4. Let f = 2.5 + -3. Which is the closest to j?  (a) -2\/5  (b) f  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -2*p**4\/7 + 74*p**3\/7 + 11336*p**2\/7 - 296*p\/7 - 45312\/7 = 0.\nAnswer: -59, -2, 2, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3944 - 3943.5. Which is the nearest to 1\/4?  (a) -3\/5  (b) -1\/4  (c) h  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -2, 426, -4.\nAnswer: -11, -4, -2, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 - 35*s - 68. Let o be d(-2). Solve 0 = -o*u + 73 - 103 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11009 + 10998. Sort -3, 0, -2, x, -25 in descending order.\nAnswer: 0, -2, -3, x, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 2*m - 16 = 0, j - 1807 = 5*m - 1801. Sort j, -1, -15 in decreasing order.\nAnswer: -1, j, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 0, -1, 4, 6.\nAnswer: -17, -1, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*(2 + (-12)\/8). Which is the biggest value?  (a) 0.05  (b) s  (c) 2  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 257516407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 95*f**2 - 19*f - 16. What is the hundreds digit of d(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5180 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 PM and 11:02 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -146883 - 335?\nAnswer: -147328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 4*u - 21, 4*v + 0*u + u = 9. Determine f so that -7 - 2*f + 4*f + 2*f**2 + v = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 6*x + 108 = 0. Suppose 4*l - x = 0, 3*f = -l + 81 + 222. What is the highest common factor of f and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-242)\/(-24)*-2 - (-9)\/54.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -87029 times 5?\nAnswer: -435145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1415207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 - 1) + 0 + -4. Let z(l) = 16*l**3 - 6*l**2 + 6*l - 10. Let h(d) = -5*d**3 + 2*d**2 + 3 - 7*d**2 + 7*d**2 - 2*d. What is v*z(s) - 10*h(s)?\nAnswer: 2*s**3 - 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 379, 384, 389?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 2 - 4. Let k = 4 - u. Solve -k = -2*g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, 4193701\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-247)\/95)\/(4\/(-20)). Calculate the highest common factor of 117 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*i - r + 4*r + 21 = r + r, -3*i - 4*r = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -36, -91, -146, -201, -256, -311?\n\"Answer: -55*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -5cf1 (base 16) to base 6\nAnswer: -302053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*2 + 1 - -3. Let y(i) = -21*i + 136. Let o be y(6). Calculate the highest common divisor of o and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 8, y: 2, v: 2, t: 7}. What is prob of sequence cyyt?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 + -8 + 5 - -7. What is the first derivative of 29 + 13 + 23*k + 31*k**i + 14*k**2 - 43*k**2 wrt k?\nAnswer: 4*k + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -3*f**3 + 13*f**2 + 7*f. Let h(l) = 507*l + 7*l**2 - 503*l + 0*l**3 - 2*l**3. What is 7*h(r) - 4*k(r)?\nAnswer: -2*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 55\/4 of a microgram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxgxgx. Give prob of picking 1 x and 1 g.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000180198 to 6 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/3359 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4122 + -140320?\nAnswer: -131143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1685 - -1688. Let u(g) be the third derivative of 1\/60*g**5 + 0*g + 4\/3*g**3 - a*g**2 + 0 + 1\/120*g**6 + 1\/24*g**4. What is u(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 3 - 6 - 5 - 2*a + 4*a. Let v be t(8). Is -1438*v\/(-6)*63\/56 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 208*q**3 + 8*q**2 + 49*q - 4. Let y(f) = f**3 + 2*f**2 - 1. Let g(k) = h(k) - 4*y(k). What is the second derivative of g(o) wrt o?\nAnswer: 1224*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s + 2. Let x be w(-2). Suppose x*i + 0*i + 12 = 0. What is the units digit of i\/(-12) - (-7)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 + 4\/1 - -2. Suppose 2*b - 4*n - 30 = 0, -b - m*n + 81 = 2*b. Solve 4*p + 3 = b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uqddqdpuddpuqdqlqdyd. What is prob of picking 1 y and 1 u?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, -16, 3, -2 in decreasing order.\nAnswer: 41, 3, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 437 + -427.55. Let n = -9.45000441 + z. What is n rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of i**7\/21 - 13*i**5\/20 + 7*i**4\/12 - 51*i. Find the third derivative of y(r) wrt r.\nAnswer: 120*r**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 62*i - 63*i + 7 = 0, 5*i + 25 = -5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 - 11. Suppose 4*c - 4 = 4*w - 8*w, 4*w = 8. Let g be ((-2)\/(-7))\/(45\/35). What is the closest to c in z, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3383641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 213 divide 28755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 56, 0.0129, -5, 3, -2\/33?\nAnswer: 0.0129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 251981849.\nAnswer: 7, 43, 837149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 AM and 8:36 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, -4, -467, 1, -9 in ascending order.\nAnswer: -467, -9, -5, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 596 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -28*v**2 + 1164*v + 487. Give p(42).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 144\/(-120)*20\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 3*z + 15. Let s be t(5). Suppose -16*w + 414 = s. What is the lowest common multiple of w and 14?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*o + 18*o = 30*o - 135 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/(11\/(-10)) - (192\/64 + (0 - 10)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2310 divided by 10\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the second derivative of 0*v**2 + 1\/30*v**4 + 24*v + 0 - 4\/15*v**3. Factor f(z).\nAnswer: 2*z*(z - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*t**2\/5 - 7572*t\/5 + 730125 = 0. What is t?\nAnswer: 649, 1875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 188805\/19 + -9937. What is the fourth smallest value in -3, f, -2\/5, 28, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80 is divided by 47?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that t**5 - 88*t**4 + 337*t**3 + 68894*t**2 + 704236*t + 1137032 = 0.\nAnswer: -13, -2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-86)\/(-172))\/((-75)\/550).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 14*z**3 + 2*z**2 - 11*z + 5. Let t(i) = -5*i**3 - i**2 + 4*i - 2. Suppose o + o - 8 = 3*a, -o = -3*a - 4. Give o*g(k) + 11*t(k).\nAnswer: k**3 - 3*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 6, m: 2, f: 1, b: 4, c: 3}. Give prob of sequence czz.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 o when three letters picked without replacement from tooo?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.4  (b) 2\/33  (c) -432  (d) -0.2  (e) 2\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 - -13) + (66 - -59) + (12 - -3).\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -3*c**2 - 16680*c + 33359. Give h(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 - 167\/7. Let y(f) = -f**3 + 9*f**2 - f + 9. Let p be y(9). Is p < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18696?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -24 - -10. Let n = 124\/9 + i. Let h = 0.2 - -0.8. What is the second smallest value in h, n, -1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 181086909, 362173811, 543260713, 724347615?\nAnswer: 905434517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**21)\/b)\/(b*b\/b**(-3)) assuming b is positive.\nAnswer: b**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000004357086 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3\/4  (b) 1.85  (c) 0  (d) 2\/7  (e) -1\/3  (f) 10.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*l - 2*w = 24*l + 61, -5*l + 7386*w = -7383*w + 14770*w + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 277 + -87. Let k be -76*((-2)\/18)\/(48\/216). What is the highest common factor of k and z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 127*z - 133*z - 420 = 0. Sort 0, 3, z.\nAnswer: z, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 2*g**3 - 3*g**2 + 2*g - 2. Let a be p(2). Suppose -4*r + 41 = -7. What is the greatest common factor of a and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -84.82 and -0.2.\nAnswer: 16.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3096626548?\nAnswer: 2, 53, 14606729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 3, t: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33885 = 10*t - 40273 + 7878. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5, 1, -0.4, -1, 64, 63?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 92266850 and 21931?\nAnswer: 645867950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 80406225 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16.5 + 2.5. Which is the third smallest value?  (a) r  (b) 3  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 237.9 - 241.9. Let f be (-13 - -8)*6\/4. Let r = -8 - f. Which is the nearest to -0.3?  (a) 5  (b) q  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 218*s**3 + 114*s - 232*s + 118*s.\nAnswer: 218*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*w*x**3 - 3*w*x**2 - 1006*w*x + 2*w + x**3 + 8*x**2 + 1765*x wrt w.\nAnswer: -2*x**3 - 3*x**2 - 1006*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(2*sqrt(605))**2.\nAnswer: -14520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.46 - 5.46. What is the third biggest value in -6, q, 1, -1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -5*d - 2. Let w = 3 - d. Suppose 0*i - 3*i + 435 = w. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 6074, 24093, 54058, 95969, 149826?\n\"Answer: 5973*q**2 + 100*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(51)\/(sqrt(3)*-2) - (-1 + sqrt(272))**2 - ((-2 + sqrt(2448))*5)**2.\nAnswer: -61573 + 2415*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 10 = -2764*p + 2761*p, 4*m + 40 = -4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -79 - -77 - ((-1 - -1) + -4). Is i <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 + -4)*2\/(-6) - 3. What is the remainder when (7\/(-5) - m)\/(9\/495) is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -165 + 62 + 103 - 43*b**2.\nAnswer: -43*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - 3)\/(3\/(-20)). Let u be (6\/27)\/(z\/180). Let m(y) = y**2 - y - 3. Let n be m(3). Solve -t - n = -u*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 4*c - 60, -c + 5*c + 5*u - 54 = 0. Let v = 32 - c. What is the highest common factor of 48 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2620484.4 times 0.3?\nAnswer: -786145.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.05 times 4.51\nAnswer: -0.2255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -5*(9\/(-30))\/(18 + (-6084)\/336)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**5 - 5*t**4 + 2*t**3 + 8*t**2.\nAnswer: t**2*(t - 4)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -l**4 - 114*l**3 + 166*l**2 + 195*l + 620?\nAnswer: -12*l**2 - 684*l + 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -8. Suppose 3*n + d = 4*n. What is the biggest value in 0.6, n, -2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 84 - 4?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 122011 (base 3) in base 10?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 15256588 and -0.0005?\nAnswer: 15256588.0005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 10*n + 26 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.29 times -1.8?\nAnswer: 5.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 1 = -0*n. Let w = 1 + n. Find r such that 0*r**2 - r + w*r**2 + r**3 + 2*r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 4, g: 4, c: 2, t: 1}. Give prob of picking 1 g, 1 e, and 1 c.\nAnswer: 32\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15 - 107) + -106 + 91 + 30.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -92.2 take away 10.6?\nAnswer: -102.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 1. Let t be (-3 + 2)\/((-2)\/(-4)). Sort t, f, 5 in descending order.\nAnswer: 5, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 - 5*l**2 + 8*l + 6. Let n be r(-7). Let c = n + -45. Solve 0 = 2*y - 5*q - 6, y + 9 + c = -5*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**3 + 5*v**3 - 3*v**3)*(10 - 10 - 8*v**2) - v**5 + 0*v + 0*v + 42*v**5 + 825*v**3 - 825*v**3.\nAnswer: 33*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.9 + -0.1. Let o = -1653\/7 - -235. Which is the biggest value?  (a) o  (b) -3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 6 = c, -558 = 2*r + 5*c - 528. Let x(b) be the second derivative of 0 + 22*b + r*b**2 - 1\/6*b**4 + 0*b**3. Let m(o) = -4*o. Give x(m(a)).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10*1462\/(-2365) + 6. Let c = 0.08 - -2.92. Let n = -4 + c. Which is smaller: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-644)\/(-138))\/(-14)*96.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 - (5 - 1))\/7. Let x be 5\/(-25) - 2*3\/(-30). Is p <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1008 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes after 4:29 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 27*s**3*u**3 - 12*s**3*z**3 - 926*s**2*z**3 + 155026*s*u*z**3 + 16*s*z wrt u?\nAnswer: 81*s**3*u**2 + 155026*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 151, 684, 1579, 2842, 4479, 6496?\nAnswer: 8899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 65 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.08 - -0.0625.\nAnswer: -0.0175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -941493, -3765975, -8473445, -15063903, -23537349?\n\"Answer: -941494*i**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.5 + -1.5. Let t = q + 1.2. Which is the biggest value?  (a) -3  (b) t  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the second derivative of -z**3\/6 - 3*z**2\/2 - 5*z + 658. Determine l(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 5*y + 1681 = l, 4*y = -5*l - 2777. Let h = l - -938. What are the prime factors of h?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110 + 23785?\nAnswer: 23675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in 0.1, -8, -2\/129, -5, 20?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 4*d - 5*f, 274*d + 10 = 273*d + 5*f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of o**2 + 2 + 2\/3*o**3 + o. Let b be d(-2). Solve -24 = 2*k - 4*n, -5*k - b*n + 0 = -15 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 986 and 2?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 360 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - 0. Let r = 15.9932 - 15.6932. What is the third smallest value in r, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-1 - -2 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + 2. Let o(q) = 8*q - 1131*q**2 + 0*q - 4302*q**z + 1. Let j be o(9). What is j rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*n = 25*n + 63999. Suppose -n = 10*x + 3*x. What is x rounded to the nearest 10?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*j - 0. Let p be 66\/924 + 2\/4. Which is bigger: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**2 + s**2 + 0*s**2)*(-2 + 18*s + 5 - 17*s) - 4 - s**3 + 4.\nAnswer: -2*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7778 + -7760. Solve 3*p = 11*c - 15*c + 9, -n = -6*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2539162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000271 to 5 dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19 - (444\/(-48) - 8))*-16?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the second derivative of -11*z**6\/5 - 156*z**5\/5 - 1187*z**4\/11 + 1560*z**3\/11 - 675*z**2\/11 + 461*z. Suppose d(u) = 0. What is u?\nAnswer: -5, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y + 8. Let l be j(-3). Let q be ((-4)\/(-6))\/(2\/9). What is the third smallest value in q, 1\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -31. Let q(o) = -5. Let u(m) = 6*q(m) - z(m). Let a(w) = -w - 5. What is a(g) + 5*u(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119264 is divided by 581.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 990646941?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2226838 (base 9) to base 12.\nAnswer: 499b5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 56 - 108. Let v = -52.0067 - w. Round v to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/67065 and 167\/142290.\nAnswer: 37422270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 121, 416, 985, 1918?\nAnswer: 3305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 216 + 10*v - 26*v + 2*v**2 + 13*v.\nAnswer: 2*v**2 - 3*v + 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q\/q**(-10))\/q)\/(q\/q**(-4))*(q\/((q*q**(-3))\/q))**(-45) assuming q is positive.\nAnswer: q**(-174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.604 + -0.384. Let l = -1 - a. What is l rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8976391.\nAnswer: 17, 31, 17033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-24)*(616\/539)\/((-9)\/21)*-58.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4685188909.\nAnswer: 101, 46388009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2254.351 - -4.\nAnswer: -2250.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.0033  (b) -5  (c) 1\/4  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + -3. Factor s*y - 3 - y**4 + 8 - 3*y**3 - 5.\nAnswer: -y*(y - 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/4*(-10)\/(-375)*-10.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2336, 2355, 2386, 2429, 2484, 2551, 2630?\nAnswer: 2721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -43595 - -111465. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 73 - 73. Suppose 43*o - 39*o - 76 = h. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 160702793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -5*j + 3*j - 12, 5*j + 30 = 3*f. Let b = j + 10. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2\/41917 + 41911\/125751. Suppose 13*w**3 + 10\/3*w**4 + 74\/3*w**2 + 68\/3*w + 8 + x*w**5 = 0. What is w?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -c. Suppose -5*z - 4*h - 6 = -36, c = -z + h + 15. Calculate the lowest common multiple of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p. Let j be x(-3). Suppose u + 4 + 8 = j*s, 4*u - 12 = -3*s. Solve 5*l - 3*l + 6 = u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 9) to base 3.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 767*m**3 + 18148*m + 19066046?\nAnswer: 2301*m**2 + 18148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 67 = 13. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1325149369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -443*m + 180*m + 320*m**2 + 132*m + 131*m.\nAnswer: 320*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1354737 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(1\/10*(-4 - (-21)\/6)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -4 + (-1*sqrt(5)*1)**2*5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(-3) - (-26)\/3. Suppose -t = 4*b - b - j, -b = -2. Suppose h + t*h = -4. Let n(d) = -1. Let u(q) = -q + 5. What is h*u(r) - 5*n(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 789 a factor of 90735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -26 + 34 - (1 - 2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 12605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the second derivative of 17*u**4\/4 - 7*u**3\/3 - 33*u**2\/2 + 81*u. Is o(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 168 - -5. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14646237.837 - -0.5.\nAnswer: -14646237.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times 6107\nAnswer: 3053.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, f: 3, y: 4, w: 7, m: 3}. Give prob of picking 1 m and 3 y.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11647374 to the nearest integer?\nAnswer: 3413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 4*q**2 - 3*q + 3. Let s(y) = 4*y + 78. Let f be s(-23). Let k(n) = -9*n**2 + 7*n - 7. Give f*c(d) - 6*k(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1123636941?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1443 - 1448. What is the second biggest value in 1\/7, m, 0.03, 2\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/107376 and 59\/622?\nAnswer: 33393936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (1989\/(-2431))\/(26\/(-11))*(-4 - -1)\/(-27)\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81794?\nAnswer: 2, 40897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4397.6 + 4398.62018. Let z = 1.14 - h. Let m = z + -0.12. What is m rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8266 is divided by 95.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) + -3 + (sqrt(190)*-1 - sqrt(190))\/sqrt(10))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 4:00 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1420*(-6)\/660*-22*-3*(-1)\/(-12).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (26 - -1) + -5 + 43 + -42?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2008.99990526 - 2009. What is q rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9864a5 (base 11) in base 12?\nAnswer: -63b684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*r + y = 18, r - 3*y - 10650 = -10647 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, 3, 18?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -b04 (base 13) to base 2\nAnswer: -11101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/7, 20499, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -12*x + 771. Let m be l(64). Put 14, m, 2\/3, -1 in decreasing order.\nAnswer: 14, m, 2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -33.85 - -34. What is the closest to i in 5, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12*l*z**2 + 7*l*z - 128*l + 77393*z**2 wrt l.\nAnswer: 12*z**2 + 7*z - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 29 in 0.4, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p**2 + 4*p. Let k(a) = a**2 + 5*a. Let l(q) = -2*k(q) + 3*w(q). Let o(r) = r + 12. Let m(g) = -3*g - 12. Let x(y) = -m(y) - o(y). Give l(x(u)).\nAnswer: 16*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (2 + sqrt(245))**2 + -2.\nAnswer: 28*sqrt(5) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -u**5 - u**4 + 4193*u**3 + 5*u - 1665?\nAnswer: -20*u**3 - 12*u**2 + 25158*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28\/(-28)*(-3)\/(-30)*6)\/((-133)\/35).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 999 is divided by 116.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**5 - 178*l**4 + 5721*l**3 + 195800*l**2 + 1210000*l.\nAnswer: l*(l - 100)**2*(l + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29 + 29 - 2*r**2)*(3 + 3 - 5).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 41 + 20*n**3 - 5*n + 3*n**3 + 20*n**3 + 0*n. Let f(z) = 21*z**3 - 2*z + 21. Let b(r) = -5*f(r) + 2*j(r). What is the first derivative of b(t) wrt t?\nAnswer: -57*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w = -4*u + 10, 6*u - 4*w - 2 = 7*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2256 is divided by 635.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1)\/(-38))\/((-7)\/(-21)). Let q = 129\/190 - n. Which is the second smallest value?  (a) -4\/7  (b) -6\/11  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 3*l - 7 = 0, 3*y - 5*l = y + 9. Put -22, 1, y in descending order.\nAnswer: y, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*h**3 - 3*h**3 + 4*h**3 + (15*h**3 - h**3 - 3*h**3)*(2 + 0 + 0) - 3*h**3 - 2*h**3 - 2*h + 4*h**3.\nAnswer: 19*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*d + 4*v, -12*d = -16*d + 2*v + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6436\/(-16) - (-1)\/4. Let y = -210 - u. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2\/11, -2\/13, -9, 3, -20278 in decreasing order.\nAnswer: 3, 1, -2\/13, -2\/11, -9, -20278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -31153.17 + -3743835.83. Let z = i - -3775528.0273. Let y = 539 - z. Round y to three dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98.77405 centuries in decades?\nAnswer: 987.7405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -301233 + 3?\nAnswer: -301230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -19*z**2 - 2*z - 149. Let i(m) = -2*m**2 - 1. Determine -d(b) + 5*i(b).\nAnswer: 9*b**2 + 2*b + 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2579929?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3912.477 milliseconds to nanoseconds.\nAnswer: 3912477000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/6, -0.2, 2.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 143316431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((4 - 12\/4)\/13) - 10467500\/(-803904).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (7 + 1 - 4) + (-51)\/9 + 285152\/6384\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35516 is divided by 3184.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 272 = 8*q - 4*q. What is the greatest common factor of 170 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, -2, 8.\nAnswer: -17, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 60\/(-18) - -4 - (14 + -12)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1656913 and 49484?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37464125?\nAnswer: 5, 23, 83, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 68 + -62. Let m(c) = 9*c**2 - 9*c - 7. Let i(v) = -4*v**2 + 4*v + 3. Give y*m(a) + 14*i(a).\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 3 z when four letters picked without replacement from {l: 2, z: 4, f: 6, d: 3}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3881 a factor of 11592547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -89\/31, -5, -1.7, 0.06 in ascending order.\nAnswer: -5, -89\/31, -1.7, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/472696 and 65\/50646.\nAnswer: 1418088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 + 2*t**2 - 11*t - 26. Let p be i(-3). Let b = 263 + -262. Let k(f) = -1. Let l(x) = x**2 - 2*x - 4. Calculate b*l(a) + p*k(a).\nAnswer: a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4618 - -5003. Sort 1, -2, u, -3, 0.\nAnswer: -3, -2, 0, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**2 - 2*a + 2*a + (0 + 2 - 1)*(2*a**2 + 0*a**2 - 4*a**2) - 3*a**2 + 2*a**2 + 0*a**2 - 9930*a + 9930*a + 265*a**2 + (-2*a**2 + 2 - 2)*(3 + 0 + 0).\nAnswer: 257*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - ef?\nAnswer: -ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 + -20 + -23 - -21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 + 8*l - 3*l)*(-2 + 5 - 2).\nAnswer: 5*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0\/(-8))\/(0 + -1). Suppose s = -r - r + 78. Let t = -13 + r. What is the greatest common divisor of t and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 176 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that j**4\/11 - 2877114*j**3\/11 + 2069449119361*j**2\/11 - 4138889607384*j\/11 + 2069443365136\/11 = 0.\nAnswer: 1, 1438556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*v = 23*v - 5*v - 4*v. Determine h, given that 2\/5*h**3 + 0 - 1\/5*h**2 + v*h - 1\/5*h**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 1295*n**2 + 24*n + 20. What is the remainder when o(-1) is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24666559559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (33\/605)\/(1\/(-40)*-4)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -94*f**4 + f - 49 wrt f.\nAnswer: -1128*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -84*f**2. Let u(t) = -273*t**2. Calculate p(u(r)).\nAnswer: -6260436*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 28 - 30 = 11*u, 864 - 864 = u. Calculate the remainder when 158 + 2\/1 + 0 is divided by p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/4)\/((-1195)\/(-11472))*155\/124?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, p: 1, g: 1}. Give prob of sequence xpg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 5374, 10814, 16254, 21694, 27134?\n\"Answer: 5440*s - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*j - 28*j**3 - j**2 - j**2 + 27*j**3 + 2*j**2.\nAnswer: -j**3 + 23*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11 - 16) + (184 - 149)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8111272 to the power of 1\/2, to the nearest integer?\nAnswer: 2848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**3\/z*z)\/z*z)\/((z**5\/z)\/z*z)*z**3\/((z\/(z*z**(2\/11)))\/z))\/(z**(-4\/7)*z**(-2)*z*((z**(-4)\/z)\/z)\/((z**(1\/8)*z)\/z)) assuming z is positive.\nAnswer: z**(6701\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, k: 4, d: 6, a: 1, q: 4}. What is prob of sequence tt?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p. Let j be q(-2). Let r be (3\/j)\/((-6)\/(-32)). Does 3 divide ((-8)\/3)\/(r\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -225*r + 343*r + 2714 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 64*q**3 + 288*q**2 + 324*q + 108.\nAnswer: 4*(q + 3)*(4*q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 + 8*g. Let h be b(-7). Let r(p) = -p**3 - 6*p**2 + 6*p - 10. Let v be r(h). Let a = v - -25. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1094861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76 - 121 + 64 + 65 + 68 - 1195*u**2.\nAnswer: -1195*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -dd1c5 (base 16) to base 15\nAnswer: -12d52e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 50 + 62. Let u be (5068\/y)\/(4\/6*-1). What is u rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the third derivative of -d**9\/1512 + d**7\/210 - d**5\/60 + d**3\/2 - 7*d**2. Let k(r) be the first derivative of l(r). Solve k(m) = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -38*q - 249905 + 250703 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4997902285.\nAnswer: 5, 999580457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 - 3 - 2)*(-1 + 3 - 4)*(-5 + 5 - 3*i**5) - 2*i - 2*i**5 + 2*i.\nAnswer: 52*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of s**5\/30 - 31*s**4\/24 - 4*s**3\/3 + s**2 - 329. Determine v(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -43, 1\/27, -3\/8 in decreasing order.\nAnswer: 1\/27, -3\/8, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2808, -2574, -2340, -2106, -1872, -1638?\n\"Answer: 234*n - 3042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 50230487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*h + 16878 = 42293. Let s = 3067 + h. Let w(v) = -1112 + 11*v + s. Let f(i) = -2*i**2. What is f(w(q))?\nAnswer: -242*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 8*l**2 + 18*l + 22. Let g(d) = -17*d**2 - 36*d - 45. Let u = 199 + -212. Let f(b) = u*s(b) - 6*g(b). Suppose f(x) = 0. What is x?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 49 + -29. Suppose 3*v - 2*v = -3*b + 77, 4*v = t. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 4, p: 3, z: 6}. What is prob of picking 1 t and 3 p?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1368*l + 3*l**4 + 1 - 752*l - 2*l**4 to s + h*l**3 + q*l**2 + p*l**4 + w*l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 34755600 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -137797647*c**2 + 559087902*c.\nAnswer: -275595294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 253349.9 nanograms?\nAnswer: 0.2533499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*q + 5 = -7*q, -3*q = -d + 2. Find the third derivative of -6*p**2 - p**3 - d*p**3 + p**2 + 7*p**3 wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2674*i + 1112*i + 36321 - 11061 = 964*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 4202 = -b + 501, 4*b = 3*y - 4723. Let f = -6321\/4 + y. Find the common denominator of 13\/9 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 - 8*y + 15. Give h(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 396 + -392 - ((3 - 22 - -2) + (-1 - -6))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -c - 286. Round c to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 750 = 3*p. Suppose -440*x - n = -441*x + 56, -x = 5*n - 98. What is the remainder when p is divided by x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 5*u = -5, 3*z - u = -2*z + 1. Suppose -2*b = -z*b - 6. What is a in -1 - a**2 - a**2 + b = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -4*n**3 + 6*n**2 + 111*n - 4. Let p(r) = -r**3 + r**2 - r - 1. Calculate -c(s) + 6*p(s).\nAnswer: -2*s**3 - 117*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-1 + sqrt(612))*1 + -3*(3 + sqrt(1700)) + -4.\nAnswer: -12*sqrt(17) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5.36 and 0.055.\nAnswer: 0.2948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 265, 1041, 2327, 4123, 6429?\n\"Answer: 255*z**2 + 11*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -151 (base 7) in base 13?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4401 - 11?\nAnswer: -4412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**3\/6 - 4096*y**2\/3 - 114851*y\/6 - 45133.\nAnswer: (y - 8206)*(y + 3)*(y + 11)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3*6\/(-90))\/((-76)\/(-380)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1197 and 1701?\nAnswer: 32319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -4*d**2 + 8*d + 5. Let o(t) be the first derivative of 5*t**3\/3 - 9*t**2\/2 - 6*t + 6. What is -7*g(z) - 6*o(z)?\nAnswer: -2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -1, 1, 8, -3 in ascending order.\nAnswer: -12, -3, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 8, v: 5}. Give prob of picking 1 s and 2 v.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -41086*k**5 + 2*k**4 - 5*k - 21255 wrt k.\nAnswer: -821720*k**3 + 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.75529 and -46.15.\nAnswer: -46.90529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 330, -1, -61755.\nAnswer: -61755, -1, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2*10\/25*(-85)\/2. Let a = w - -64. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 6 - 13)*(-4 + u + 4) + 3 + 3*u + 0*u - 2.\nAnswer: -23*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 4 = 256*m - 254*m, -3*y = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -279523 + 2062448 = 25*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 46  (b) 0.5  (c) -1  (d) -4  (e) -12\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 21402 or 2\/3?\nAnswer: 21402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -45 + 446*o**3 - 1436*o**3 - 948*o + 19 + 26 wrt o.\nAnswer: -5940*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002078 rounded to 4 decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -385, -511, -721, -1015?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -185*v**2 + 230 - 230 - 2*v**2 + 0*v**2 + v**2 + (-2*v - v + 4*v)*(3 - 3 - 2*v) + 2*v - 2*v**2 - 2*v - 2*v**2 + 2*v**2 + 2*v**2 - v**2 + v**2 - 2*v**2.\nAnswer: -190*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 81253.29 decades?\nAnswer: 9750394.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5055 by 337.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -4*o**2 - 5. Let q(p) = 3*p**2 + 4. Suppose 5*w + 3*g - 11 = 0, 5*w = 4*g + 8 + 24. Let b(n) = w*t(n) + 5*q(n). Let h(f) = -8*f. Calculate h(b(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 426517\/(-43043) - 15*2\/(-3)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99 - 94 = 5*l, 2*b - l + 1 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0*1\/(-2))\/(-14 + 13). Solve -5*b + 29 - 4 = o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 PM and 12:23 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-68)\/28 + -3)\/(40\/(-70))*2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 199*o - o**2 - 199*o + 5*o**2 - 26*o**2.\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (27\/(-6))\/((-8835)\/(-2356))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8481\/2 - -4240. Which is the fourth smallest value?  (a) -0.1  (b) 1\/131  (c) -2  (d) r  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, 8, -10, 2 in increasing order.\nAnswer: -10, -5, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -11212*j - 1289383. Determine f(-115).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3542 is divided by 770?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1045\/9 + -116. Let w be (-1303001)\/378 - (7 + -9). Let n = w - -3443. What is the common denominator of n and h?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -5*o**2 - 148*o + 85. What is the remainder when 4174 is divided by w(-30)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, 1377, -2, 3, 5, 10\/13 in increasing order.\nAnswer: -2, -2\/11, 10\/13, 3, 5, 1377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 206633, 206626, 206619, 206612, 206605?\nAnswer: 206598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-14)\/35*(-27799105)\/(-12). Let q = 19123378\/21 + j. Let l = 16008 + q. Calculate the common denominator of l and -101\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 - -42. Let y = l - 34. Solve y + 4 = -2*v - 3*m, v + 1 = -2*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1c16 (base 13) to base 8.\nAnswer: 10224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 divided by 16979256.\nAnswer: 25\/16979256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m**2 + 9*m**2 - 10*m**2. Let c be -5 - 2\/(-1*2). Let w(f) = f**2 - 4*f. Let r(l) = l. Let i(j) = c*r(j) - w(j). Determine q(i(d)).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2869.\nAnswer: 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-12))\/((-15)\/(-810))*-3?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.18 and 50134.\nAnswer: 50133.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -33*o + 1 - 1 + 31*o - 3. Let y be n(-5). Solve y*a = 2*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of -o**5\/130 - 14*o**4\/39 - 17*o**3\/3 - 26*o**2 + 2126*o. Factor l(n).\nAnswer: -2*(n + 2)*(n + 13)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44267 is divided by 542.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(14)\/(-2*sqrt(7)*4) + 4)*-1*-6.\nAnswer: -72 + 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -3*d - 3*d - 5*d - d + 11*d. Let x(z) = 2*z**2 + 478*z. Determine x(a(n)).\nAnswer: 2*n**2 - 478*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hccwhwka. What is prob of sequence ahc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 97115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*q + 74*q - 24 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 26 - 2. Let c(y) = -5*y**3 - y**2 + 4*y**3 - 3*y - 5*y**2 + 2. Calculate the least common multiple of j and c(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3485832?\nAnswer: 2, 3, 7, 20749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**3 - 3*n**2 + 4. Suppose -4*i - 15 = i. Let a be m(i). Let q(d) = -d + 2 - 5*d**2 + a*d**2 + 1. Give q(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*w**3 - 53*w**3 - 8*w**3 + 117*w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21*j**5 + 24*j**5 - 176*j**6 + 228 - 63*j**5 + j**2 + 18*j**5 wrt j?\nAnswer: -21120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 223 - 12. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3003 + 1505 + 90*l**2 + 1498 + 8*l**2.\nAnswer: 98*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 + 9. Is y - 0 - (-588)\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 48 + -34. Let r be 20*(2 + -3)*-1. Suppose 0 = -3*g + r + 28. What is the smallest common multiple of g and f?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*k + 129 = 147 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -4  (b) 24\/11  (c) -1\/7  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 175336 and 87668?\nAnswer: 175336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3 - 1) + -2 - 16\/96. Which is the closest to -2?  (a) -10  (b) -0.4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65 divided by 12?\nAnswer: 65\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5869458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l**2 + 660*l - 660*l + 3 + 3*l**2.\nAnswer: 2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 AM and 11:32 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -19?  (a) -2  (b) -0.5  (c) 0  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3221 - 78*k**3 + 8*k**2 - 3221 + 77*k**3.\nAnswer: -k**3 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3 - 929*o**2 - 6460*o - 5532.\nAnswer: -(o + 1)*(o + 6)*(o + 922)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -270*r - 323*r = -498*r - 4655 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3784 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(98) - sqrt(98))**2 - sqrt(98))*-1 + ((sqrt(20) + (1*sqrt(20) - sqrt(20) - sqrt(20)))*1)\/sqrt(10))*3 + -1 + -5 + 3.\nAnswer: -297 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + w - 1 + (-3 + 4 - 3)*(-197*w - 213*w + 418*w - 18).\nAnswer: -15*w + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 7. Suppose -a + x = 7. Let n(u) = u**2 + 4*u + 2. Let k(r) = -r**2 - 4*r - 1. Let j(h) = 4*k(h) + 3*n(h). What is j(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/3)*a)**(-40))**48 assuming a is positive.\nAnswer: a**(-3200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 10 = -4*g, -6*b - 1 = -4*g - b. Let o = g - 2. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s = -2*s - 860. Let i be 83 - (-4 + 8) - -7. What is the greatest common factor of s and i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1232949636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -3*x - 9. Let d(l) = 4*l + 13. Let v(h) = 3*h + 37. Let m be v(-14). Calculate m*d(w) - 7*n(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((y*y**(-15))\/y)\/y)\/((y*y**(-1\/5))\/y))**3)**26)**(-6\/5) assuming y is positive.\nAnswer: y**(36972\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*y + 6 - 12 + 8 + 0.\nAnswer: 45*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 312 + 3203?\nAnswer: 3515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l**3 - 832*l**2 + 832*l**2 - 3*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9.5969 + 136.9939. Let v = -0.397 + n. Is 1 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 35 + -19. Calculate the greatest common factor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r + 218 - 191 = 0. What is the smallest value in 0.4, -4, -22, r?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -118*k + 532. Give h(3).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1302877 and 218.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30\/(-80)*(-736)\/1794.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*m = 9798 + 2316. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16.6 - 11.5. Let d = -5.5 + k. What is the closest to 0 in -1\/7, -4, d?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15124421 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -16\/5*m**3 + 0*m - m**4 - 4\/5*m**2 + 0 + 7\/5*m**5 = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18425636.\nAnswer: 2, 71, 64879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*o - 33 = -13. Suppose 0 = -o*y, -2*i + 419 = -3*y - 107. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.79341696 rounded to four dps?\nAnswer: 2.7934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + (-1 - -3 - 3). Suppose 5*l = 4*g - 303, 3*l = -0*g - d*g + 179. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 + 0)*(-5 - (-8)\/2). What is the smallest value in 0.2, 5, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 8*a**5 - 6*a**4 + 47*a**2 + 6*a + 6. Let q(b) = b**4 + b**2 - b - 1. Let d(y) = c(y) + 6*q(y). Find the third derivative of d(m) wrt m.\nAnswer: 480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d. Let v = 79 - 76. Let t(p) be the third derivative of 0*p + 1\/60*p**5 + 0*p**3 + 0*p**4 + v*p**2 + 0. What is r(t(w))?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 163641157?\nAnswer: 31, 53, 137, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 4.336786ml?\nAnswer: 0.004336786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5.01 - 0.01. Let v = -0.03 + -4.97. What is the smallest value in s, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*q**3 - 52532 + 7*q**2 - 7*q**2 + 52532.\nAnswer: 46*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 55, 110, 165, 220, 275?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -13*i**3 - 4. Let v be b(-2). Suppose 11*g = g - v. Let o be 11 + g - (-79 + (-3 - -2)). What is the greatest common divisor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, 5, 0, 5\/7, -1\/2, 34\/9 in descending order.\nAnswer: 5, 34\/9, 5\/7, 0, -1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -2*h + 2*p - 8, 0 = -2*p + 10. Suppose -2*f - 16 = -h. Let m be 2\/f - (-1352)\/28. Calculate the highest common factor of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 2\/689  (b) -1\/10  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10589 and 123.\nAnswer: -1302447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2 - 6*y + 4. Let l be n(-6). Let h(s) = 10 - 4*s - s + l*s. Let g = 3244 - 3239. Determine h(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) -4\/5  (c) -62  (d) -0.01  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -1\/84266452?\nAnswer: -1\/84266452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-9) + 88\/72?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -22\/37, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 429?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 886504913 to the power of 1\/2, to the nearest integer?\nAnswer: 29774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 4, o: 1, r: 3, v: 1, m: 7}. Give prob of picking 2 f and 1 r.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -129 - ((81 - 19) + -118)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 838 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: What is the value of 0 + 10 - (-13 - -11 - (3 + -6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**2 + 12*n + 12. What is j(-9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -346936403*w + 721553082.\nAnswer: -346936403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -1. Let h = -0.023 - -0.123. What is the nearest to h in 1, 3, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 121 - 611 = -2*d, 496 = 2*h + 4*d. Calculate the lowest common multiple of 1089 and h.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 180*y - 270 = 135*y. Solve 2*p + y*t = 10*t - 10, -3*t + 18 = -5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -2, 2, -1\/5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-58 + 4)\/((-13)\/(-8) - 2). Let u be 8\/(-20) - r\/(-10). Suppose v + 8 = u. What is the remainder when 10 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6258 and 76139?\nAnswer: 456834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -201 - -111202?\nAnswer: 111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12742 is divided by 2541?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 826\/1831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -3*d - 50, -2*g = 2*g - 20. Let o be 3 - 5 - d - (2 + 2). Let a(u) = -4*u. Determine a(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**3 + 4*q**4 - 4*q**4 + 2*q**5)*(-2093 + 330 + 277 - 2788).\nAnswer: -8548*q**5 + 4274*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2112022021 - 2?\nAnswer: 2112022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + 1 + -4 + -1. Let l(c) = -7*c**3 - 5*c**2 - 5*c. Let t(g) = 4*g**3 + 3*g**2 + 3*g. Give r*l(z) - 5*t(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together 7054 and 0.04.\nAnswer: 7054.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 9\/6*(-5)\/((-90)\/48). Let q(t) = -3*t**2 + 5*t**2 - 22*t - 3*t**2 + 29 - 4. Let k be q(-23). Solve -u = k*b - b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 466 + 7?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the second derivative of n**4\/4 - 7*n**3\/3 - 13*n**2\/2 + 6*n - 2. Let w be z(-1). Solve -3*u + 32 = 4*t, -25 = -w*t + 3*t - 5*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -113, 4, 383, -1086 in decreasing order.\nAnswer: 383, 4, -5, -113, -1086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -111010010001 (base 2) to base 6\nAnswer: -25133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -3*m. Let b be l(-3). Suppose 255 = 12*k - b*k. Calculate the remainder when k is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-219)\/(-3) - 3\/(-3). Let d = -8 + f. Suppose 3*x = -0*x + d. Calculate the least common multiple of 30 and x.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 6 and -1542.65705?\nAnswer: 1548.65705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1356 + 0.1.\nAnswer: -1355.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -960 divided by 273\nAnswer: -320\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((1 - 0) + -7)\/2. Is 48 + ((-20)\/4 - g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -109, -454, -1031, -1840?\nAnswer: -2881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of 0 - 7\/2*s**2 + 2*s + 1\/6*s**3. Let g = 2776 + -2770. Give k(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 - 5 = -4*q. Let f(w) = 3*w - 6. Let j be f(q). Let z = j - 3. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-27)\/30*(8\/(-12))\/((-4)\/(-5)). Sort 0.37, 0.1, m, -0.3.\nAnswer: -0.3, 0.1, 0.37, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + 36064?\nAnswer: 36066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1561 + -1066. Let y = -4866328.9753 + 4865834. Let l = j + y. What is l rounded to 3 dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 4  (b) -0.2  (c) -0.4  (d) 1\/55  (e) -5  (f) -1\/393\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(176) + sqrt(176)*1 + -2)**2.\nAnswer: -64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10548*t - 939067 = -36252*t + 217613 for t.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, l: 5}. What is prob of sequence ls?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 6*l**3 + 4*l**2 + 11*l - 4. Let o(t) = -5*t**3 - 3*t**2 - 10*t + 3. Determine 4*o(q) + 3*r(q).\nAnswer: -2*q**3 - 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5751802 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 486852 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (607 - 244 - 186)*(-2*m**3 - m**3 + 0*m**3)*(-3*m + m - 2*m).\nAnswer: 2124*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 1 + 1 = 0. Let f be 27\/(((-1)\/a)\/(-1)). Suppose -n = 2*z - f, -3*z + 108 = n + 3*n. Solve 0 = 2*x + v - 9, 5*x - n = -0*x + 2*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 876846294 to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -50, 0, -2, 146, -0.2.\nAnswer: -50, -2, -0.2, 0, 0.1, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 900.499 - -1.501. Let s = r - 895. Which is the second smallest value?  (a) 0.8  (b) -0.5  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.21?  (a) -0.5  (b) 6  (c) -32.706  (d) 3  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15174957 or -15174959?\nAnswer: -15174959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 PM and 8:59 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 - 27. Which is the closest to i?  (a) -1\/2  (b) 0.02  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 0 = -4*r. Let l be (r - -12) + (-1 - 1). Suppose -2*j + l = -0*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 13875, 55695, 125449, 223137, 348759, 502315, 683805?\n\"Answer: 13967*j**2 - 81*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4059.5  (b) 0.385  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/12 and -89\/13532.\nAnswer: 40596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 3 = -1. Suppose 3*h = -5*n + 8 + 10, -50 = -4*h + c*n. Suppose 4*r - r - 2*f = h, 2*r - 5 = -f. Solve r*p = 2*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1448340 by 482780.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1002540342 (base 6) to base 11\nAnswer: -5847921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 134?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a9 - -5?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 2*y = -6. Suppose -y*c = -0*c - 12. Suppose 2*s + 45 = 3*w + 7*s, c*s + 28 = 4*w. 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: How many minutes are there between 1:27 AM and 3:35 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 116 + -35. Suppose 0*f = 3*f - 27. What is the greatest common factor of f and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - -3. Suppose k - 7 = -v, -v + 8 + 3 = b*k. Suppose -k*q + 1332 = -4*t, 5*t = q - 106 - 235. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 134551490.\nAnswer: 2, 5, 13455149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -1.25. Let c = -1195.6 - -1196.35079. Let g = w + c. Round g to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -110 - -185. Let b(f) = -16*f**3 - 3*f**2 + 7*f + 7. What is the remainder when s is divided by b(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -304 - 303?\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1, -0.2, 5, 0.3, -17\/3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**2 + 8*n - 6. Let i be s(6). Suppose 3*b - 2*k - 276 = -0*b, 5*k = 3*b - 285. Let f = b - 36. What is the greatest common factor of f and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1850, -7390, -16624, -29552, -46174?\n\"Answer: -1847*s**2 + s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -44805 by 14935.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -20 (base 14) to base 9\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -50, 2, 0, 3, 72 in ascending order.\nAnswer: -50, 0, 2, 3, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 - 436785*v.\nAnswer: -436785*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 3:44 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9480 - -9467. Let s = 2.06 + -0.06. Put 0, s, i in descending order.\nAnswer: s, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 1. Let q(y) be the third derivative of -y**4\/24 + 5*y**3\/6 + 5*y**2. Let i be (-1)\/(((-4)\/16)\/(-1)). Suppose 0*x + 5*x = 5. What is i*g(w) + x*q(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2403*h + 38. Let n(j) = 1200*j + 21. Give 5*m(f) - 9*n(f).\nAnswer: 1215*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 + 150. Suppose 3*o + w - 161 = p, -2*w = -o + 110. Let s = 185 - o. What are the prime factors of s?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 53*x - 13. Let h be f(4). Suppose 0 = 4*t + 3*j - h, t + 38 = 4*j + 102. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 - 1. Suppose -5*x = 2*y + 3 - 10, -4*x = -2*y - 20. Let o be (x + (-2 - -1))*1. Which is greater: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 10:37 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, b: 18}. Give prob of picking 4 b.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 1 = -f. Suppose -75 = -5*z + f*b, 0 = 3*z + 5*b - 2*b - 75. Calculate the smallest common multiple of 16 and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8203.967l in millilitres?\nAnswer: 8203967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -89.4 - 20.6. Put -4, -2, 1, s in descending order.\nAnswer: 1, -2, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -3*a + 20. Let n(w) = -4*w**2 - 110*w + 23. Calculate the remainder when n(-27) is divided by x(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 131 - 915\/7. What is the nearest to 0.1 in 3, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*k + 14 = 118 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -64059 greater than -64060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1282, -1281, -1280, -1279?\n\"Answer: g - 1283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 - -1 - (-23 + 21 + -10 - -4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 69 + -72 + -2 + (-1 - -9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1981 is divided by 61?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 1 + 10. Let j be 4\/(-24)*(-24 - -27). What is the nearest to s in 4, -3, j, 1\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rdt when three letters picked without replacement from ttttttvtytrdtt?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 + a**2 + 2*a - 3. Calculate the remainder when o(-4) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h = -118 - 158. Let b = h + 106. What is the greatest common divisor of 24 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 29*g + 362. Calculate d(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -j + 45*m - 41*m, -m - 5 = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 127, 221, 319, 421?\n\"Answer: 2*p**2 + 88*p + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -586 = 4*b - 8*b - 5*q, -4*b + 582 = 3*q. Let s be b\/60 + 3\/((-15)\/2). Do 3\/2 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**3 - 6*n**2 - 5*n + 9. Calculate p(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15900 is divided by 1986?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 7\/3 + 2\/(-6). Suppose -2*h + 0*c - a*c = 0, -4*h - 2*c = -6. Solve h*w + 19 = 2*s, 3*w + 23 = 4*s - 0*w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 + 5*v**2 + 10*v - 8. Calculate the remainder when 42\/(-21) - (-34 + 1) is divided by z(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 46347 and 427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 34 - (121 + 52 + -192).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 421 divide 23749873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50819.\nAnswer: 89, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/4 + (-168)\/96 + -9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 585 + -274. Let k = 208 - 187. What is the remainder when o is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26 - 36. Let c(i) = -i**3 - 8*i**2 + 15*i + 9. Is c(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 246890226?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 10*s. Let x be n(1). Let o = x + -7. Is o bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8562, -8570, -8580, -8592, -8606, -8622?\nAnswer: -8640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l. Let w(t) = -152*t**2 + 56. Let q(v) = -8*v**2 + 3. Let j(r) = -112*q(r) + 6*w(r). Determine n(j(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.7 - -12116769?\nAnswer: 12116765.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence agf when three letters picked without replacement from {t: 2, g: 4, f: 6, a: 2, j: 2, h: 4}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nggnngnwn. What is prob of sequence gw?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 11640537 (base 8) to base 4\nAnswer: 21310011133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from imoisosisiiysiihh. Give prob of picking 2 s.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 23761938?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1077238.\nAnswer: 2, 557, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) -0.03  (c) 2\/3  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -9, -5856, -2\/11, -461?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -568 + 587 = 3*b + q, -q = 5*b - 35 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nun when three letters picked without replacement from {n: 3, u: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 85*m**2 - 10*m - 13. Let p(k) = 2. Let f(j) = 5*p(j) + x(j). What is the second derivative of f(z) wrt z?\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.12 - -0.19. Let w = -0.17 + q. What is the closest to 0.1 in 0.5, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2\/89 - -184\/267. Which is the biggest value?  (a) y  (b) -2\/17  (c) -3  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32652 is divided by 13117?\nAnswer: 6418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.14 - -29.14. Let v = b - 32. Let k = 2 + -1. What is the biggest value in k, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -12628*v**2 - 451*v + 847. Let s(h) = -421*h**2 - 15*h + 28. Calculate 121*s(w) - 4*y(w).\nAnswer: -429*w**2 - 11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4854 <= 4854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (5 + -9) - (-1 - -14 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3214171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.771588 millilitres in litres?\nAnswer: 0.003771588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01238 rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 80694, 80696, 80698, 80700, 80702, 80704?\nAnswer: 80706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 181\/1047316 + -36578055055\/21326495708. Let d = -2\/2909 - t. Let -2\/7*l**2 - d*l - 18\/7 = 0. Calculate l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 70071530 to the nearest 100000.\nAnswer: 70100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 + 19*g + 462. Let q be w(-14). Solve 0*s + s - m = 6, q = -5*m - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 13824 and 14?\nAnswer: 193536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-4)\/d**(-2)*d**(-1\/6)\/(d*d*(d**(-2\/25)*d)\/d) assuming d is positive.\nAnswer: d**(-613\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -15800 + 1?\nAnswer: -157dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -1\/9, -3\/8, 0.4, -0.113, 0.7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27, 55, 87, 123, 163, 207?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 158*u = -218*u + 876 - 33212 for u.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -w**4 + 3*w**3*z - 2*w**2*z - 283*w**2 - 10*w*z - 906*w wrt w?\nAnswer: -12*w**2 + 18*w*z - 4*z - 566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 13 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2632505944?\nAnswer: 2, 15137, 21739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the first derivative of p**4\/4 + 13*p**3\/3 + 17*p**2\/2 + 66*p + 15. Let k be l(-12). What is the highest common factor of k and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13592 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/148 and 174\/(-18) + 1 + 4.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8628.707cm in meters?\nAnswer: 86.28707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = 4*v + 36. Let u be ((-9)\/v)\/(3\/4). Let h(i) = i**2 + 5*i + 2. Let w be h(-5). Solve -16 = -u*r - w*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of i**2*k**3*w - 1831942*i**2*k**3 + i*k**3 - 3*i*k*w - 4*k**3*w + 66667*k wrt i.\nAnswer: 2*k**3*w - 3663884*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/30 + 42\/63?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4\/9 + -10\/9. Let j = 73 + -76.7. Let x = j - 0.3. What is the nearest to q in -2, 5, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1999061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from iiqaiiiiaiiaaiaai.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - 0. Is u\/(1*(-8)\/124) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 + 307*d. Let c(q) = -2*q**2 - 10596571 + 10596571. What is z(c(y))?\nAnswer: 4*y**4 - 614*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3122?\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 12:31 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 51 - (-18 + 59 - (-3 + 49))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (12\/4)\/(2\/2). Suppose -a*j + 5*g - 55 = 0, -g = j - 6*g + 35. Let r = j - -7. Which is greater: -4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1117+-19.898\nAnswer: 1097.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 4*o - 2028 = 0, 961 - 961 = -5*o. Solve -j*d + 509*d = -8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 175.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2*u**3 - 278*u**2 - 276*u - 3. Calculate k(-138).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1134*v**2 + 1137*v - 3 = 0. Calculate v.\nAnswer: 1\/378, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (955 + 7*t - 955)*(0*t**4 + 2*t**4 - 4*t**4) + 4 - 9*t**5 - 4.\nAnswer: -23*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (906\/9)\/(106\/3657). Calculate the highest common divisor of r and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 4  (b) 0.4  (c) 2\/187  (d) -0.42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1423437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 2 = -5*d, -3*d - 4 = -3*v - 7*d. Let m(n) = 2*n - 1. Let h(w) = w. Determine v*m(g) - 9*h(g).\nAnswer: -g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 + 12. Calculate the greatest common divisor of 15 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5596745 years to millennia.\nAnswer: 0.0005596745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**2 - u - 1. Let f(p) = 26461*p**2 - 32*p + 71. Let y(n) = -f(n) + 4*w(n). Let k be y(25). What is k rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.044?  (a) -1\/10  (b) 0  (c) -16  (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 16 - 4 = 0. Let y be 21\/(-14)*(-10)\/c. Find the second derivative of 4*t**y - 9*t**5 + 23*t**5 + 20*t wrt t.\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the second derivative of b**2\/2 - b. Suppose 15*d - 390 = -0*d. Let k(j) = d*j - 11*j - 2*j - 10*j - 5. What is 6*g(i) + k(i)?\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 5*c = 36 - 126, 2*o = 3*c + 219. Let t = 96 - o. Let m(w) = 2*w**2 - 27. What is the units digit of m(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 24139*m - 5656. Let i(q) = 298*q - 70. What is 404*i(n) - 5*s(n)?\nAnswer: -303*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 65*w**2 + 71*w**2 - 139*w**2. Let b(n) = 2*n. Calculate b(z(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.5, -6.9, -1, -0.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = g + 292, -3*w - 7*g = -3*g - 166. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 79786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n\/n**(-28))*n*n*n**30\/n)**14 assuming n is positive.\nAnswer: n**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + ((sqrt(243) + sqrt(243)*-6 + -4 - sqrt(243)) + -3 - (sqrt(243) + 2)*-4*4))**2.\nAnswer: 4680*sqrt(3) + 24976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 - 14*l**2 - 93*l - 13. Let y be d(19). Let s = -11 + -3. Let v = s + y. Solve v = -0*m + 3*m + 2*a, 2*m = 4*a + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}