diff --git "a/data/dm_maths/full_data/10416_11255.jsonl" "b/data/dm_maths/full_data/10416_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10416_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the distance between 4141.15992512919 and -0.1?\nAnswer: 4141.25992512919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5000) + sqrt(5000)*-4)\/sqrt(10).\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000749114 rounded to 7 dps?\nAnswer: -0.0000749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6082740 minus -0.073?\nAnswer: 6082740.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 (base 4) in base 12?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 3*p**2 - 2*p**2)*(5 + p**2 - 5)*(25 + 7 + 4) - 2*p**2 + 4*p**4 + 2*p**2 + (-2*p + 3*p + 0*p)*(2*p**3 + 3*p**2 - 3*p**2).\nAnswer: -30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -640 - 13?\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (945\/(-130410))\/((-12)\/184)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.931 - 26.8. Let z = v + 0.169. Which is the fourth biggest value? (a) z (b) 1\/7 (c) -5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24.8 + -25. What is the nearest to 0 in -3, c, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwatfwaktfftttt. What is prob of picking 1 w and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4353798062.\nAnswer: 2, 2176899031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*((-7*d**3 + 20 - 20)*(-1 + 1 - d) - 5*d**4 - 12*d**4 + d**4).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and 1.3?\nAnswer: -33.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**3 + 1735*m**2 + 381*m + 23019. Give f(434).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.7918 or 2?\nAnswer: 0.7918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 462*0.171.\nAnswer: 79.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) 0.1 (b) 1\/17 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(sqrt(288) + 0)*-3)**2.\nAnswer: 259200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**4 + h. Let a(l) = l. What is j(a(z))?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**5 + 0*u**5 - 2*u**5 + (-2*u**3 + 0*u**3 + 0*u**3)*(-u + u + u**2) + 10640*u**5 + 10748*u**5 - 20674*u**5.\nAnswer: 713*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**4 - 28*g**3 + 32*g**2 + 64*g = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 8. Let x(d) = -2*d**3 + 4*d + 3. Let y be x(-2). Let m = y - 18. Calculate i(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20477976 divided by -258.\nAnswer: -79372","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 17. Let w = 12\/679 - 9638\/7469. Which is smaller: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkt. What is prob of picking 1 v and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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 nearest to 0 in 5, 11, -6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -6 (b) -4 (c) 124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.4 - -235.4. Let m = f + -211. What is the nearest to 0 in 0.04, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**5 + 910*n**4 + 48380*n**3 + 605160*n**2 = 0.\nAnswer: -82, -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -15*i**2 - 11*i. Let t(o) = 3*o**2 + 2*o. Give -2*c(w) - 11*t(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 8*d**2 - 8*d + 5. Let s be o(7). Sort s, -3\/8, 251 in decreasing order.\nAnswer: 251, -3\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 216363976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/13))**(3\/40)*(a*a\/(a*a*a*(a*(a**(-5\/8)\/a)\/a*a)\/a*a))**(1\/18) assuming a is positive.\nAnswer: a**(151\/3120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.681 + -18.73. Let n = -1.189 + v. What is n rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) + (-8 - 99\/(-12)). Which is the nearest to 0.3? (a) s (b) -3 (c) 3 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*p + 2 - 2 - 78*p**2 + 71*p**2 + 2.\nAnswer: -7*p**2 - 478*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -11*k**3 + 3*k**2 + 4*k - 6. Calculate d(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cog when three letters picked without replacement from {a: 2, o: 2, g: 1, c: 1, m: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*c = 237 + 2307. Let k be (9\/2)\/(-2 - (-97)\/c). Calculate the greatest common divisor of 72 and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2))\/(4\/(-24)). Suppose -2*f + n = -27. Let x = f - 11. Solve u + 5*o + 2 = 0, 5*u - u + 5*o - x = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517438777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -1899\/68, 2\/5, -3\/4, 0.19?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - 11666*i**2 - 11699*i**2 + 23390*i**2 to the form w*i**2 + l + z*i**3 + s*i and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 33. Suppose 3*n + n = p. Let m = n + 9. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3))**(4\/7)\/(r**(-1\/2)\/(r*r\/(r*r**1)))*(r\/r**(-4))\/(r*r**(-2\/9)\/r)*r**3\/r**(1\/5) assuming r is positive.\nAnswer: r**(5489\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.1 and -78?\nAnswer: 553.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.01, 1\/9, 1, 3\/2, -31?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -759629*0.19\nAnswer: -144329.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 15*j + 4. Let z be q(7). Suppose z*c - 12 = 107*c. Solve 2 - c = 2*o - 4*m, -3*m + 14 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 22. Suppose -i*h + 18 = -37. Is 8 a factor of 4\/((h\/20)\/(2\/4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 2:55 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + z)*((0 - 3 + 1)*(1 - 4 + 1) - 3 + 5 + 1 + (2 + 4 - 3)*((-2 + 6 - 1)*(-2 - 1 + 6) - 5 + 5 + 11)) to j + v*z and give v.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(312)\/(sqrt(66)\/sqrt(539)).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 15*q - 421. Let n be z(15). What is the greatest common factor of n and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459759644.\nAnswer: 2, 19, 2333, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 + 48388*o\/7 + 292674818\/7.\nAnswer: 2*(o + 12097)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/56)\/(-28 + 27))\/(6*23\/(-8)).\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -1) + 1 - 1. Suppose -131 = 10*p - 201. Suppose n*y + y = p. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*w = -65*w - 216555. Let b = -146715 + w. What is b rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/2855 or 1?\nAnswer: 4\/2855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 190 - 41 = 0. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3254199 + 2941.3194199. Let b = f - 2940.93200135. Let u = b + -0.062. Round u to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 + 19*u**4 + 39*u**3 - 315*u**2.\nAnswer: u**2*(u - 3)*(u + 7)*(u + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302 a factor of 32542371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11245 is divided by 2781.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 6 - (-2 + 0 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168615 is divided by 1387?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 11*k**2 - 10*k + 408. Does 29 divide n(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 1.4. Let i(q) = -166*q + 10976. Let z be i(66). Is z smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - u + 124, -2*v + 251 = -3*u + 2*u. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q**(-8)\/q*q)\/q*q*q**3*(q*(((q*q\/q**(-1\/4)*q)\/q)\/q*q)\/q*q)\/q**(-3) assuming q is positive.\nAnswer: q**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 130389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 17. Let z(f) = -5*f**2 - 1. Let u be z(k). Let l(v) = 7*v**3 - 3*v - 5. Let c(g) = -8*g**3 + 4*g + 6. Calculate u*l(j) - 5*c(j).\nAnswer: -2*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -370580544 - 3.5.\nAnswer: -370580547.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -480.7314 and 5147385?\nAnswer: 5147865.7314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 - 3*v + 24*v**4 - 2*v**3 - 22*v**4 + 2 + v to z*v**3 + h*v + b*v**4 + i*v**2 + u and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/48 - (-12)\/1056*-11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 4 + 45)*(-4*m + 4*m - 2*m) + 0*m + 0*m + m + (6 - 4 - 3)*(-m + 3*m - 3*m).\nAnswer: -42*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {e: 1, d: 1, o: 11, j: 2, z: 4}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3*u + 222, 3*u + 18 + 84 = 2*z. Suppose 4*b = -z + 14. What is the tens digit of 14\/(2\/b*-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**4 + 4366851*o**2 + 21260522 wrt o?\nAnswer: 8*o**3 + 8733702*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 7. Let n be f(-7). Suppose l = -n*l + 2. Find the third derivative of l*x - 2*x - 2*x**2 + 2*x**5 wrt x.\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 186230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-one quarters of a litre?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28098\/(-6021)*(-9)\/(-497)?\nAnswer: -6\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 15*n. Suppose -5*l + 1 = z - 2*z, -1 = -l. Suppose 0 = -z*m + 2*r + 6, -2*m + r = 6*r + 27. Determine g(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9797183 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqvv when four letters picked without replacement from {q: 5, v: 13}.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {t: 10, n: 9}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (146*(-5)\/30)\/((-86)\/((-18318)\/71))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/648 and -41\/243.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -11.9. What is the nearest to 0 in -4, -2\/21, n?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 7}. What is prob of sequence dd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 7999620 = -4*a, 74*a + 3*d = 75*a + 1999885. Round a to the nearest ten thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 3*x = -4*u + 4, 3*x + 2*u - 6 = 0. Suppose -4*t - 5*w + 21 = -0, -3*w + 18 = 3*t. Solve -h + t = -x*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177*-17.5.\nAnswer: -3097.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-5)\/12850*(-15)\/(-6)*-2.\nAnswer: 2\/257","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 31*i + 2. What are the prime factors of s(6)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 1:12 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*1*4\/5. Let o be (-2)\/g - (-9)\/(-18). What is the closest to o in 2, 3, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345064951?\nAnswer: 1979, 679669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**2 + 1689524*a - 52379088 = 0.\nAnswer: -422412, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132008880 divided by -3.\nAnswer: 44002960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175010 and 63640?\nAnswer: 700040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126111?\nAnswer: 3, 127, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x + 7. Let o be n(3). Let s be 2 - ((-4)\/o)\/4. Let j be (-1*s)\/(3*(-3)\/(-19440000)). Round j to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 12*m**2 + 13*m + 1. Let p be i(-13). Let n(t) = -5*t**2 + 1. Let r be n(1). Which is the closest to p? (a) -5 (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -276*g - 3. Let x(d) = -2*d**2. Give l(x(s)).\nAnswer: 552*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*q**2)*(172 - 77 - 91 + 553*q).\nAnswer: 1106*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67284, 134846, 202404, 269958, 337508?\nAnswer: 405054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -2. Suppose -4 = 3*r - a*r. Let f(z) = 4*z**2 - z. Calculate the remainder when f(-1) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (36736\/(-21))\/(1 - (-24)\/(-18))?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -11*j**3 - 3*j**2 - 3*j - 1. Let y be n(-2). Suppose 83*u = y*u + 6. Factor 3 - u - 132*v**2 + 129*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11029, 22051, 33073, 44095?\nAnswer: 55117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1656 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 9:51 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -1344, -3070, -5494, -8616, -12436?\nAnswer: -16954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2\/3 (b) -4 (c) -56122 (d) -18 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -10*g**2 + 10*g. Give z(-3).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**2 - 5. Let x(g) = g**2 + 1. Let j(d) = k(d) + 5*x(d). Let u(z) = -5*z**2 + 16 - 16. Determine u(j(y)).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-16))**(-50)\/(g**(4\/21)*g**(-28\/9)) assuming g is positive.\nAnswer: g**(50584\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggbgqgqqbgbbgwbbwbb. What is prob of sequence bw?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1758, 1922, 2086?\nAnswer: 2250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -2*r - 6*b + 9*b, 4*r - 100*b - 102 = -105*b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 79, 171, 289, 427, 579, 739, 901?\nAnswer: 1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1487157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1463 and 266.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 2584*j + 222062. Determine z(89).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -13*l + 656. Suppose l*z = 38*z + 12. Let n = -1 - -4. Solve -s + n*h = -4, 0*s + 5*h + 9 = z*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + d = -3*d - 50, 0 = -5*d + 25. Let j be ((-24)\/20)\/((-2)\/c). Calculate the greatest common factor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 - 27 = 0. What is the remainder when y is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 59, 587, 2027, 4829, 9443, 16319, 25907?\n\"Answer: 75*q**3 + 6*q**2 - 15*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -0.2 (c) -24 (d) 0.09 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 1009852.\nAnswer: -11\/1009852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5) + 1596\/(-60). Let q = m - -29. What is the third derivative of -5*v**2 + 6*v**2 + q*v**2 + 21*v**5 wrt v?\nAnswer: 1260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 892571348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 14 = 4*n, 2*h + 2*n = 5*n + 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.011\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 50*h**3 - 40*h**2 - 40*h + 40. Let c(d) = -d**2 - d + 1. Calculate -40*c(n) + o(n).\nAnswer: 50*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 613379563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.332 - 1561.\nAnswer: -1541.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3301230 (base 6) to base 4.\nAnswer: 213330102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -1\/6, -1\/14, 10 in increasing order.\nAnswer: -3\/5, -1\/6, -1\/14, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 6. Let p be (-3 + 1)\/(4\/d). Is -3 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61e7d2 (base 16) to base 11.\nAnswer: -3692765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 86 = 3*u, 0 = 3*u + 51623*w - 51618*w + 74 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22153 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1183 in -1.5, 2\/27, -1, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6738392 divided by -1684598.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 33*d + 232. Let a be v(-23). Solve -k + 7 = -n, a*k - 1 = -5*n + 6 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -779*v**2 + 387*v**2 + 394*v**2. Let b(r) = 122*r. Determine u(b(i)).\nAnswer: 29768*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r + 12. Suppose r*u - 2 = -i + 5, -4 = -4*i. Factor 3*m - m - 2*m**4 + 4*m**u + m**2 - 2*m**3 - 3*m**2.\nAnswer: -2*m*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 7*q + q - 9*q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 36 + 42 = -3*m, -m - 2 = 3*g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(6 + (-522)\/90)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 3)*(14*n + 96*n + 21*n - n - 2 + 2 + (-2 + 3 + 1)*(-n + 2 - 2)) to the form a + c*n and give c.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7094 + -7093.9999985131. Round g to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**5 - 45*s**4 - 130*s**3 - 170*s**2 - 105*s - 25 = 0. What is s?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*u - 2. Let o(w) = 2*w + 2. Let c be o(u). Which is bigger: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242241412 (base 5) in base 6?\nAnswer: 150100055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide ((-84460)\/615)\/(2\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) -173 (c) 6 (d) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -34.5, 2, -2\/13, 1\/2?\nAnswer: -34.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5836676 divided by -51652?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 37218.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -19632 - 7273. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 12*b**2 - b + 13. Let v be s(12). Put v, 2\/3, 2\/7 in decreasing order.\nAnswer: v, 2\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 8 = 7*d. Let h(j) = j**2 - 4*j - 7. Let o be h(6). Suppose -3 = 2*k + 3. Sort o, d, k in increasing order.\nAnswer: k, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*x + 42882 = 12754. What is the greatest common factor of x and 3136?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 10*a + 30. What is the units digit of n(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 + 3)*(2*m**2 - m**2 + m**2) + 0*m**2 - m**2 + 0*m**2 in the form z + f*m + g*m**2 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 5493382?\nAnswer: -4\/2746691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -7. Suppose t = -0*t + 6. Calculate the smallest common multiple of c and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5539697?\nAnswer: 19, 291563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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 next in 1060, 2117, 3174?\nAnswer: 4231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2378 - 2245 - (126 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 872496 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-550*s + 82*s - 33*s - 265*s)*(-2*s**2 - s**2 + 5*s**2 - 2).\nAnswer: -1532*s**3 + 1532*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -172491*a**6*r - 2*a**5*r - 859*a**2*r - a**2 + a + 2*r wrt a.\nAnswer: -20698920*a**3*r - 120*a**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 10:40 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 224, -0.026, -1?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z = -41*z + 97370. Suppose -9740 = -2*q + i, -z = -3*q - q + 5*i. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 < -12\/27533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9584 is divided by 192.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -40\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 10. Determine c, given that 4 - 2*c**2 + 0*c - t*c + 4*c**2 + 0*c = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -192488055811.583 - -192448531774.5830116. Let b = z + 39524005. Let l = b - -32. Round l to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 + 80. Suppose 0 = 13*m + 12 + o. Which is smaller: m or 1\/18?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 237273227 and 4.\nAnswer: 237273231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 - 347*a + 238*a + 82 + 188*a.\nAnswer: 79*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4*y**5 + 0 + 0*y + 9\/2*y**2 - 39\/4*y**3 + 5*y**4 = 0. Calculate y.\nAnswer: 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1540336 (base 8) to base 4\nAnswer: 1230003132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/2)\/(y\/(y**(-1\/16)*y)))\/((y\/y**(-12))\/((y\/(y**(-14)\/y)*y)\/y)) assuming y is positive.\nAnswer: y**(71\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 3*v**2 + 3*v**2)*(1 + 0 + 0) + (0 + 0 + 2*v)*(-v - 2*v + 2*v) + 3*v - 3*v + v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6252718 tonnes to kilograms.\nAnswer: 625.2718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 2a05?\nAnswer: -2a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6 - 3*m + 5*m - m. Let r be j(-5). Let z = 2 + r. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.64.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -10*c**2 + 246 + 13*c**2 - 248 + 3*c**2. Calculate o(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 5*o. Let t(b) = -2*b + 7. Let i be t(-5). Suppose w = -3*w + u - i, 0 = -2*u + 2. Determine l(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*k**2 - 12*k**2 - 12*k**2 to o*k**2 + r + b*k and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-1)\/(3\/(-6)). Suppose -h - 2 = -y*h. Let s(o) = 3*o - 158*o**h + 5*o + 159*o**2. Calculate s(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 339.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2815 divided by 563.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 125527 + -3.889263.\nAnswer: 125523.110737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78819072?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192255 by 5.\nAnswer: 38451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39314 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3473085 divided by -1023.\nAnswer: 3395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -1403121?\nAnswer: -1403113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -17*p - 123. Give f(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 3. Suppose 2 - q = -2*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -31. Let a = 15 - j. Let z(n) = -14*n**2 - 2*n + 1. Give z(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 5:54 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -27 + 54*r**2 - 10*r - 53*r**2 - 17. Let y(l) = -l**3 - 5*l**2 - 5*l - 5. What is the smallest common multiple of y(-5) and p(14)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26219231 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55.2 + 14.2. Is h <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/3, 5, -33, -2.941 in ascending order.\nAnswer: -33, -2.941, 1\/3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2491216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101111011101 (base 2) in base 4?\nAnswer: -12233131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 - 28*m - 12. What is b(-11)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h + 4*n + 77 = -16*h, 3*h + 0*n - 5*n - 93 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -36*n**2 + 4*n + 12. Let i(c) = -34*c**2 + 3*c + 10. Give -6*i(d) + 5*k(d).\nAnswer: 24*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/sqrt(32) - sqrt(8)\/sqrt(144).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l + 61*l - 630 = -21*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*y. Is y > 2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, 1.3, 2\/7, 4, 8\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 3*d - 6, -17827*z - d = -17824*z - 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllzllzl. What is prob of sequence ll?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 2*x**3\/3 - 4*x**2 + x. Suppose 28 = 9*g - 62. What is the tens digit of n(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 22*r + 106. Let m be s(-8). Let j(u) = 7*u**3 - u. Let q(l) = -8*l**3 + l. Give m*q(x) - 7*j(x).\nAnswer: -x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t. Suppose 0 = 2*l - 0*l + 8. What are the prime factors of c(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 30*j**3 + 30*j**2 + 30*j. Let s(c) = c**2 + c. Give -30*s(v) + z(v).\nAnswer: 30*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (16 + -4 + 2 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2*k + k + 8 - 2.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3265*p + 6 + 124*p.\nAnswer: -3141*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -3 (c) 1 (d) 7552\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(108) + 2*sqrt(108))**2*-5 + -4 + 2*sqrt(108) + sqrt(108) - 6*(3 + sqrt(108) + 0)**2*5)*5.\nAnswer: -41845 - 5310*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/20817 or 0.2?\nAnswer: 8\/20817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1325085 and -49\/13692545.\nAnswer: 41077635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = l - 23, -139*v + 138*v = 2*l - 11. Which is the nearest to -1\/13? (a) 2\/11 (b) v (c) 0.3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7550*w - 7736. What is t(1)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 113 + 1.7.\nAnswer: 114.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 527 - 517. Determine m so that 13*m**2 - 81*m + 11*m + b*m - 12 - 88*m**2 = 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 1095*q + 2178.\nAnswer: 3*(q - 363)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 11) in base 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-15)\/(c*c**(-21)))\/(c**(-29)*c**(2\/29)\/c) assuming c is positive.\nAnswer: c**(1013\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66812230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1160 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1658 - 1658 + 4*d**4 - 6*d**4 + d**2 - 1731*d - 731*d**3 wrt d?\nAnswer: -24*d**2 - 4386*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13275504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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: Calculate the remainder when 568 is divided by 106.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 2. Let c be r(-12). Suppose -345 = 107*m - 131. Sort 5, m, c in ascending order.\nAnswer: c, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Let o be (-1)\/2*g*-1. Is (o\/1)\/(6\/258) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/((-174)\/(-1)*(-49 + 4536\/96))?\nAnswer: 1\/203","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54 times -6.1?\nAnswer: 3.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 101 (b) 54.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 41*x + 10. Let w be f(-41). Suppose g = -5*k + 1176, w*k - 4 = 6*k. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-432)\/(-288)*(0 - (-2)\/(-5)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieoqjome. What is prob of picking 1 j and 1 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5 = -8*z. Let r be 1 - (1 - z) - 8. Let h(i) = i**2 - 13*i + 7. Suppose 5 = s - 0. Let b(w) = w**2 - 9*w + 5. Give r*b(g) + s*h(g).\nAnswer: -2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*1\/2 - 1. Let m = y + 5. Let h = m - -50. Is h a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4636078 and 435.\nAnswer: 4636513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -3*h + 21, 0 = 4*t - 7*t + 5*h - 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 2}. What is prob of sequence qp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a + 5*a + 0*a + 2. Let p(q) be the second derivative of -3*q**3\/2 - 11*q**2\/2 + 5*q. Let i(c) = -11*o(c) - 2*p(c). Give i(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + f + 5 = 0, -m - 4*m = 2*f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 16) to base 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3033*x - 148 with respect to x.\nAnswer: 3033","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1442?\nAnswer: -5\/1442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 0 + 4\/3*h**2 - 4\/3*h + h**3 = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4*q - 5 + 2*q)*(-q - q + 0*q).\nAnswer: -12*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001001011100 (base 2) in base 5?\nAnswer: -240141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4*-66\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43288 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 7*r - 2. Let x be b(5). Let z be (-4 - 88\/x)*3. Let t(l) = 11*l - 11. Let h be t(z). Calculate the greatest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -11, -16?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from wlhw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w**2 - 5*w**2 - 6*w - 2 - 2*w**2 + 3*w**2 to t*w + k + n*w**2 and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65601432 a multiple of 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 11, 11, 7, -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/53)\/(r*r**(-35)))**8)**14 assuming r is positive.\nAnswer: r**(201600\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 24*z + 0 + 20*z + 2)*(2*z**3 - 3*z**3 + 3*z**3).\nAnswer: -4*z**5 - 8*z**4 + 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 11:10 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 s, and 2 r when four letters picked without replacement from {y: 1, r: 5, b: 3, v: 1, s: 1, l: 1}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 68935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30336?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 217.92648 rounded to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/h**(-1\/3)*h)\/h)**(4\/21)*(h\/(h*h\/h**1))**(-17))\/(((h\/h**(1\/4))\/h*h)**(-19))**7 assuming h is positive.\nAnswer: h**(3607\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3 = -7. Let k(a) = a + 5 + 0*a - 9 + v*a**2. What is the remainder when k(-3) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (4 - 2) - -96 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3*s - 6 = 2*m, 4*m + 35 = -5*s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**7\/280 + x**6\/30 + x**5\/8 + x**4\/4 + x**3\/2 - 4*x**2. Let l(d) be the first derivative of v(d). Factor l(q).\nAnswer: 3*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 999383592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905352.\nAnswer: 2, 3, 7, 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 10 - 22. Solve 25 = -5*z, u*z = 4*n + 11 - 34 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - 1 - (-1024 - -1059)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 10, -31, 0, 17.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 5:20 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 70477*k - 1691459. What is h(24)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -4, 196.54, -0.3 in descending order.\nAnswer: 196.54, 1, -0.3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**2\/5 + 223097744*n\/5 + 6221575422236192\/5 = 0.\nAnswer: -55774436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133544102 - -1?\nAnswer: -133544101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnrnnn. What is prob of picking 1 n and 1 r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**3 - 83*x**2 + 268*x + 1630. What is d(-30)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 60. Let b = -40 + j. Calculate the remainder when 112 is divided by 92\/b*(-4 + 7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*s - 15 = 0, 3*c - 23*s + 21*s + 6 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 + -58. Suppose i - v - 305 = -2*c, 5*i = 4*c + 1635. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from gzfqhqgqqfqhoz?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 6*u**2 + 7*u + 39. Calculate l(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 12 (b) -0.14 (c) -10\/19 (d) -1 (e) 2\/1423\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 4*b - 4. Let v(t) = -t**2 - 5*t + 5. Let o(k) = -5*r(k) - 4*v(k). Let f(c) = 162*c. Calculate f(o(g)).\nAnswer: -162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12000101112022 - 1000?\nAnswer: 12000101111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/q**1)\/q)*q*q)**(2\/7)\/(q\/(q\/((q\/(q**(-1)\/q))\/q)*q)*q)**32 assuming q is positive.\nAnswer: q**(-440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -350 * -0.554\nAnswer: 193.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 9*s**2 + 4*s - 2. What is the tens digit of k(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2008244?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43048857 to the power of 1\/3, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u - 714. Let i be v(18). What is the second smallest value in -3, 4, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 44?\nAnswer: -7\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 13, a: 3}. What is prob of picking 3 a?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01023 + 0.06023. Sort 3, 5, b, 0.07 in decreasing order.\nAnswer: 5, 3, 0.07, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2670 is divided by 820?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 2, p: 2, b: 3, a: 4}. Give prob of picking 1 u and 2 a.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/11747860 and -139\/18.\nAnswer: 105730740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:05 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 = 16*w + 18 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 19\/5 (b) -1\/34 (c) 4\/11 (d) 2\/3 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 25*q + 5. Is 60 a factor of o(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*b + 81*b - 87*b to the form c*b + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2*2*sqrt(17) - sqrt(17))**2 - sqrt(17)).\nAnswer: -sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 1551?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282478454?\nAnswer: 2, 141239227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(0 + 2 + -5). Let k(l) = 2*l + 1. Let r be k(v). What is the units digit of (-7)\/(-21) - (-65)\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 13 + 1 = 0, 5*p = -y + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5211989 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**6\/300 - 17*u**2. Factor o(n).\nAnswer: -2*n**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 125*n - 68. Let y be f(63). Suppose -2*h - 1 = -5*t - 7, 0 = -2*h + 2*t - 6. Sort y, 5, 0, h in decreasing order.\nAnswer: 5, 0, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*t = -47, -70 + 25 = 5*d - 5*t. Let c = d + 23. Let v = c - 11. Sort -4, 14, v in descending order.\nAnswer: 14, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, b: 10}. What is prob of picking 4 b?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 41*r + 7. Let y be b(41). Suppose y*i - 32*i + 14350 = 0. What are the prime factors of i?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -18. Let z(v) = v**2 + 2*v - 12. Let l be z(-5). Solve k + 2 = -l*f - s, -3*k = -6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 8:10 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 + 26 + 9 + -15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/1 + (-7 - -5). Let f be 4\/38 - (-200)\/(-95). Let s(v) = 4*v**2 - 10*v - 4. Let h(k) = -3*k**2 + 9*k + 4. Let i(m) = f*s(m) - 3*h(m). What is i(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 7:10 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -5*m**2 + 870*m - 5040 = 0.\nAnswer: 6, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 3*p = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11088888 and -0.5.\nAnswer: -0.05544444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**2 + 4203969 - 3*t - 3*t - 4203969 + 18*t**2.\nAnswer: 6*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(19)*-2 - (-1*sqrt(152))\/sqrt(8).\nAnswer: -sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -50. Solve 0 = x*w - 0*w - l + 15, -5*w = 5*l + 45 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 4714080?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4\/7 - 9312238*b**3\/7 + 10839726727194*b**2\/7 - 10839698790490*b\/7 - 21679434829924\/7 = 0. What is b?\nAnswer: -1, 2, 2328059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 7 = -5*t + 8, 6 = 4*i + 2*t. Solve i*a = -60 + 56 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 89*s**2 + 0*s + 1 - 2*s - 83*s**2. Calculate n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00048431775 rounded to six dps?\nAnswer: 0.000484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**4\/4 + 5*j**3\/3 - 5*j**2 - 13*j + 3. Is q(-6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72*-803087.\nAnswer: 57822264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 4\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 + -77. What is the highest common divisor of 112 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s - 163 = c, 0 = 5*s - 4*c + 188. Let m be ((-9)\/6)\/(6\/s). Let p = m - 5. Solve -p*f - 2 = 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 287 - 6?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (11 - 11) - (7 + -5 + 85 - 7).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1171*q**3 - q**2 + 5*q - 336. Let d(o) = o + 1. Let n(j) = 5*d(j) - w(j). What is the third derivative of n(b) wrt b?\nAnswer: 7026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 1\/24*j**4 - 1\/60*j**5 + 0*j + 3 - 1\/6*j**3 - 29\/120*j**6 + 2*j**2. Determine k(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2896 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 48 + 38 = 0. Suppose 0 = 4*f - 5*z - 269, g*f - 3*z + 51 = 397. List the prime factors of f.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -483*f + 104388794 + 325031533. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*p**2 + 40*p**2 + 27*p**2 - 8*p**3.\nAnswer: -8*p**3 - 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 1. Suppose -l - k*n = -29, -4*n + 0*n + 26 = l. Let r(z) = -2*z**3 - 7*z + 2. Let m(c) = 8 - 4 - 5 + 3*c + c**3. Determine l*m(x) + 6*r(x).\nAnswer: 2*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -7. Let s = -23 + 7. Let u = -21 - s. Is u bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 12:41 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 6:26 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 658.4443 to one decimal place.\nAnswer: 658.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a factor of 223098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 5*v + 7. Determine f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/8 - 79371*v\/8 - 79359\/2.\nAnswer: -3*(v + 4)*(v + 26453)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 319437048 to the power of 1\/2, to the nearest integer?\nAnswer: 17873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 176942394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*w + 1. Let g be (w + 20)\/(3\/(-12)). Does 10 divide (-896)\/g - (-2)\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3860873620?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 136024859 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 10 (b) 0.1 (c) 0.0347\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(21)\/sqrt(3) + sqrt(84)\/(sqrt(48)\/sqrt(4) + sqrt(12)).\nAnswer: -11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 6*s - 3. Let m be o(-6). Let d(u) = 8*u**2 + 3*u + 3. Let b be d(m). Is ((-118)\/(-3))\/(4\/b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7498 - 21)*(-2 + 3).\nAnswer: 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 3*k + 2*k**4 - 3*k)*(4*k - 8*k + 0*k).\nAnswer: -8*k**5 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6)*(-9 + 0). Let i be -6 - 16\/((-32)\/4270). Suppose -2*w - i = -a*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10*v + 5. Let b be j(5). Suppose 5*g = -4*x + 71, 5*x + 5*g = b + 30. Suppose 2*f + x = 4, -49 = -4*o - 3*f. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 28 = -7*k. Let t(f) = 2*f - 6. Let n(q) = -1. Determine k*n(j) + t(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151421 is divided by 66?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76 - -76. Let v = -138005\/157 - -879. Which is bigger: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m - 9*m + 10*m - 17*m - 4*m.\nAnswer: -34*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1812 and 138769.\nAnswer: 1665228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -70181 < -912370\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32423052 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 13 + 12 - (1 + 4 - -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a factor of 29650500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 440937 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 87 - (-4 + 30 + 48)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 123.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 474*p**4 - 489*p**2 wrt p?\nAnswer: 11376*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {s: 3, f: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 17*o - 4382. Let t(j) = 14*j - 4382. What is -5*n(s) + 6*t(s)?\nAnswer: -s - 4382","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**3 - 1. Let l be a(1). Suppose -c + l = 1. Is 5 a factor of (3\/c)\/(3\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:06 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/40*-4*2\/6. Which is greater: z or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3321.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1.288744?\nAnswer: 6.44372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from uuukjujuujjkkckjuku?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 53383 times 5\nAnswer: 266915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022902305 to 4 dps.\nAnswer: -0.0229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*d**3 + 927*d**2 - 627*d + 105.\nAnswer: 3*(d + 35)*(3*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -982*l**3 - 4*l**2 - 4*l. Let x be p(-1). Suppose -4*o + x = 5*g, -767 = -0*g - 4*g + 3*o. Is 30 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 9.85668?\nAnswer: 1.971336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s - 106 - 8 = 0. Put 4, s, 5 in decreasing order.\nAnswer: 5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 478, 1582, 3742, 7312?\nAnswer: 12646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -37) + 30167\/(-776).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -11*k**2\/2 - 1. Let h(q) = 5*q. Suppose -8 = -4*y + 2*w, 3*y - 15 - 17 = -5*w. Calculate y*n(b) + 9*h(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6998.19 to the nearest 100.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 39\/4*t**3 + 507\/8*t**2 + 3\/8*t**4 + 0*t.\nAnswer: 3*t**2*(t + 13)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 39\/7 - 268\/(-28). Let r(p) = -p**2 + 4*p - 1. Let o be r(3). What is the tens digit of ((-1)\/o)\/(n\/(-630))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 715 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6801*i - 20372*i + 6802*i + 6763*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 6 = 0, 5*v + 0 = -t - 2. Suppose 0 = -3*b + u + 13, -2*b + t = b + 4*u. What is the lowest common multiple of b and (-3)\/9*-3 - -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 2\/9, 3, -5, -10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 + 72056 + 72051 - 216093 + 0*h**3 + 71986.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from ppc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 110\/11*-4*(-4)\/32\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkvnookkkoo. What is prob of picking 2 n and 1 k?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = 14*v + 3*v. Suppose -f = -v*f + 132. Solve 16*s = f*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i = 5*s + 24*i + 5, 0 = 2*s + i - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*h - 12 - 3 = 0, 4*h = -o - 2. Let l(i) = 4*i**3 - 33*i**2 - 3 + 14*i**2 + 20*i**o - 3*i. Determine l(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjnjmlbb. Give prob of picking 1 m and 2 b.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6765*h**2 - 4 - 6746*h**2 - 15 to n*h**2 + y + a*h and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 494\/304 + ((-30)\/16)\/(-5). Suppose -4*x - 2*b + 4 = 0, 3*x + o = -4*b - 0. What is the nearest to -2 in -0.4, x, -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -290, -1012, -2216, -3902, -6070?\nAnswer: -8720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/6)\/(10*26\/24*(-8397)\/(-72774))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1706 (b) 0.3 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5967 divided by 2\nAnswer: 5967\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3*u - 3, 2*o + 5*u + 7 + 7 = 0. Suppose 3*m - 4*v + 2*v - 50 = 0, -30 = -m - 2*v. Suppose 0*t = -o*p - t + 5438, 0 = -5*t - m. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -88, -89, -90, -91?\n\"Answer: -m - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 1 = 4*b. Let c = -3 - b. Let t = c + -14\/3. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -149, -179, -209?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 302 - 2110\/7. Suppose 0*i + 9 = -3*i. Let m be 0*(i - 10\/(-4)). What is the biggest value in -4\/3, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/5 + 16\/15. Let h = 2 + -1. Let b be 3*1\/(3\/(-5)). What is the closest to h in 3, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (17 - (-707 + -18)) + -16 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-14)*95\/(105\/21)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 63*f - 475. Give o(9).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 3. Suppose q - 1 - 11 = -4*g, 60 = 5*q + g. Suppose -q = 4*c - c - 5*f, h*c + 2*f - 8 = 0. Solve -c + 2 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4\/(v**(4\/5)*v*v)*v**2\/(v\/(v\/v**(-1\/6))*v) assuming v is positive.\nAnswer: v**(71\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 39*j**5\/20 - 71*j**3\/3 + 163*j. What is the second derivative of r(k) wrt k?\nAnswer: 234*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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 b be 2\/7 + (-267)\/(-21). Suppose -3*a + 25 = b. Sort 0.1, a, 1\/2 in ascending order.\nAnswer: 0.1, 1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 502138 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 215131739 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-60) + 406\/105.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 c, and 1 z when three letters picked without replacement from azccczcculcczauz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, g: 1, v: 2, d: 1, y: 2}. Give prob of picking 1 g, 1 d, 1 b, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2. Let q(f) = 658 - 5190*f - 652 + 5554*f. Calculate k(q(v)).\nAnswer: -264992*v**2 - 8736*v - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 42111.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108868 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -5, 1\/909, -15, -4, -6\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/5, -3, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 140\/4 + 18\/(-6). Let a(p) = p**3 - 17*p**2 - 14*p - 66. Let h be a(18). Calculate the highest common divisor of h and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1264*f - 79333 - 44642 = -7001*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 36465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220 - 100000202012?\nAnswer: -100000200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 16 = -162. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11687048, -46748193, -105183438, -186992783, -292176228, -420733773, -572665418?\n\"Answer: -11687050*w**2 + 5*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463282543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 520 and 1280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4440 - 4452. Suppose 0 = 3*l + 2*l - 30. Calculate the remainder when 17 is divided by (z + l)*((-8)\/3)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qps when three letters picked without replacement from pnnqnpnsmmm.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 16*r = -8*r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -136 + -1499?\nAnswer: -1635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 33 - 3 = 0. Let o(q) = q + 13. Let j be o(f). Suppose 3*i = -2*k + 16, -3*k + 2*k = j*i - 23. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83584301.\nAnswer: 83584301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3565720 and -103\/3880?\nAnswer: 3565720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o - 13. Let p be c(-2). Suppose 679 = -p*u - 284. Let w = u - -453. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/8, 3159 in ascending order.\nAnswer: -4, 1\/8, 3159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19410)\/16175)\/(((-2)\/15)\/2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 6:30 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19778 + 19791.899. Round x to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 1 + -129 + 466 + -446.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.3 - -0.2. Let w = 42.4 + h. Let t = -45.89759 + w. What is t rounded to 4 dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z**4 + 29214*z**3 + 1422116*z**2 - 26344440*z + 10308368 = 0. Calculate z.\nAnswer: -62, 2\/5, 14, 2969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*f, 3*f - 1326 = -275*m + 270*m. What is the lowest common multiple of 1980 and m?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - h**3 + h + 54 + 0*h**3 - 62. What is the hundreds digit of j(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 14*a**2 - 15*a**3 - 27*a**3 + 1 - 15*a**2 + a**3 - a. Let z be b(-1). Calculate the greatest common factor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4352176 is divided by 2732.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/7734558 and -107\/104994?\nAnswer: 23203674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 0)*(2 + -1). Let d(p) = -1 + q + 0 - 7*p. Let w be (2 - (2 - -1))*9\/9. Calculate d(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -422 at most as big as -473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 700 and 4723775?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37539*z - 335489*z - 5552*z.\nAnswer: -303502*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 + 2.1. Let n = -0.2 + 1.2. What is the nearest to -2 in n, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/9)\/p**(1\/12) assuming p is positive.\nAnswer: p**(-11\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1860627 = 5*q - 5*y - 1860697, 5*y + 34 = 3*q for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 686.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 e when three letters picked without replacement from {e: 10, g: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1667 + -150?\nAnswer: -1817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -923*v**3. Let g(b) = 13*b**3. What is -143*g(t) - 2*w(t)?\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s. Let r(m) = 7*m. Let a(z) = -5*l(z) + 4*r(z). Let k(v) = 262*v. Determine a(k(w)).\nAnswer: -524*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2445 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -169.5+3.7387\nAnswer: -165.7613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*a**3 + 9 + 58*a**3 - 37*a**3)*(-17*a + 22*a + 17*a).\nAnswer: -132*a**4 + 198*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -191 - -193. Sort s, -0.17, -4 in ascending order.\nAnswer: -4, -0.17, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 11 = -p, -u = 8*p - 12*p + 2. Suppose t = 2*d + d + 105, u*d = t - 106. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*j - 4 + 170*j - 362*j.\nAnswer: -64*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - v**2 + 4 + 13876*v - 57*v**3 - 13876*v to t*v**3 + q*v + n + r*v**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9840*l + 88749. Give v(-9).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 39. Does f = -3\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*i + 19*i**2 + 20*i + (4*i + 0*i + i)*(-i + 1 - 1) + 3*i - 3*i**2 - 3*i as y*i**2 + r*i + m and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -9*r + 2. Let q be (2\/(-14)*-12)\/(18\/(-63)). Let u(a) = -5*a + 1. Calculate q*y(j) + 11*u(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwppwp. Give prob of picking 2 p and 2 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1830589*z**6 - 38*z**3 - 164040546*z**2.\nAnswer: -219670680*z**3 - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 52 - (-2 - (-1 - 3)). Suppose 5*g = -2*q + i, -1 = -2*g - 3*q + 30. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k + 21. Let j = -3 + 3. Suppose 4 = 2*a - j. What is the least common multiple of r(-4) and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -244032?\nAnswer: -244042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*i = -119*i + 3164. Is 39 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 871 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 364362 - 24?\nAnswer: 364335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 8025217\/3 and 2675072 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 13 + 3 = -2*t, 0 = -5*j + 2*t + 25. Suppose p + 3*p + 4*s = 92, -p = 5*s - j. Let y(l) = 5*l. Calculate the remainder when p is divided by y(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -54, 141, 602, 1461, 2850, 4901, 7746, 11517?\n\"Answer: 22*j**3 + j**2 + 38*j - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -5*z + 64 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 9 = -2*s, -3*s = -2*s + 3*y + 9. Suppose -2*f + 142 = -4*l, 152 = 2*f - s*l + l. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r - 6. Calculate the remainder when 21 is divided by z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.62*-5.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 1 - (-23 + 32).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 728521 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30470050 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {o: 3, u: 3, e: 3, c: 4}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8450 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0097*-386.3\nAnswer: -3.74711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 3\/4, -2, 0.4 in increasing order.\nAnswer: -2, 1\/7, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 111040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**3\/3 + 8*p**2 - 29*p - 14. Let z be q(13). Solve 2*c - 3*f - 9 = 0, 0 = 4*c + 5*f + 5 + z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-84)\/(-224)*275\/(-30) and -57\/6256.\nAnswer: 6256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -633409 and 16872.\nAnswer: -616537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 25407, 5, 1 in increasing order.\nAnswer: 1, 5, 25407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 = -3*u - 5*g, 4*g = 3*u + 3*g + 167. Let b = -47 - u. What is the remainder when 29 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**6\/2 - 3*o**5\/5 + 3*o**4\/4 + o**3 + 28. Factor s(y).\nAnswer: -3*y**2*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5*a + 10 = 2*s - 0*a - 22, 4*s + a = 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2 - 78*c + 1521 = 0. What is c?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22469649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 483380593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6910, 7270, 7836, 8596, 9538, 10650, 11920?\nAnswer: 13336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3 + 79200*l**2 - 316812*l + 316816 = 0. What is l?\nAnswer: -79204, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3121\/7, -0.45, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1648661.199973 - -1648662. Let v = 0.8 - z. What is v rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -113.50093.\nAnswer: 34.050279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2. Let c(g) = g**2 + g - 4. Let q be c(-3). Let m(a) = 2*a**q - 3*a**2 - a**2 + a**2. Calculate m(s(i)).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 330 - 325. Let p be -1*((-4)\/(-6) + 33\/(-36)). Let k be (-4)\/(-14) - 12\/91. Which is the smallest value? (a) k (b) p (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 8*k**2 + k + 10. Let q be u(-8). Suppose 0 = -4*n + 2*m + q, 0 = n + 2*n - m. Let j be 84\/32 - (1 - -2). Is j not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -275*p + 4784. Determine q(9).\nAnswer: 2309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(132) + sqrt(132) + sqrt(132) - sqrt(132))\/sqrt(12) + sqrt(11))**2 - (2*sqrt(44))\/sqrt(4)) + (sqrt(88)\/sqrt(2) - (sqrt(22)\/sqrt(2) + 1)).\nAnswer: -sqrt(11) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c2 + 12?\nAnswer: d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*q**3*r**2 + q**3*r - 449*q**3 wrt r.\nAnswer: -136*q**3*r + q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 919.527 rounded to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -10. Let i = -30.17 + 0.17. Let f = i + a. Is -25 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 + -3)*3\/6. Suppose 4*n - 1714 = 2*a, 0*n = -o*n + 3*a + 1711. What is n rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l. Suppose -3*i - 132 = -9*i. Let c(k) = -70*k + 34*k + i*k + 24*k. Give r(c(a)).\nAnswer: -60*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -790*w - 86. Let x(q) = 2*q**2 - 11*q. Give f(x(z)).\nAnswer: -1580*z**2 + 8690*z - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278\/108 - 60\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.0382 + 0.0382. What is the third smallest value in 0.3, l, -1\/9, -0.3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 224080077.618.\nAnswer: 224080075.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from zzzuuzuzzzuzu.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 8*m = -36. What is the second derivative of -11*u - u**2 + 9*u**3 + 7*u**m + 98*u wrt u?\nAnswer: 54*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - v)*(-222315 - 123*v + 222315) - v**2 + 4*v**2 - 4*v**2 + (-v + 0*v + 2*v)*(9*v + 8 - 8).\nAnswer: 131*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q - 789. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -2. Suppose -6*t = -n*t - 4. Solve -2*p = -p + 2*x, -p + t = -2*x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c + 1. Let s(j) = 11*j + 3. Calculate 9*b(g) - 2*s(g).\nAnswer: 5*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, n: 1, z: 1, c: 1}. What is prob of sequence cbz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 862983?\nAnswer: -862986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (16675*p**2 - 58*p - 16675*p**2 - 33*p**3)*(0 + 6 - 1 + 2*p) as f*p**4 + r*p**3 + d*p**2 + c*p + x and give r.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.85 + 0.96. Let q = y - -2.81. Let j = -0.12 + q. What is j rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -439741827 and 1.\nAnswer: -439741827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2 = 10. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18858 + -18855. Which is the nearest to 14? (a) t (b) 1 (c) 2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/2079*-7*(-12)\/8\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 104*b**2 - 44*b + 73. Is 4 a factor of t(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 862 + -589. Let k be (a\/(-26) - -10)\/((-6)\/(-4)). What is the nearest to 1 in -1, k, -2\/13, -0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 3, -0.3, -1, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 9:52 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4*-2*sqrt(209))\/(sqrt(11) - sqrt(44)\/sqrt(4)*2) + 1).\nAnswer: -1 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 p when three letters picked without replacement from pggpgpgpggpggg.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -24*g + 320. Give t(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1313 - -1315. Let b(i) be the second derivative of 9\/8*i**r + 1\/8*i**3 + 1\/80*i**5 + 0 - 5\/48*i**4 - 10*i. Factor b(u).\nAnswer: (u - 3)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 + 44. Let b(s) = s**2 - 167*s - 1021. What is the remainder when f is divided by b(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 7*p - 41 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 52, 105, 170, 241, 312?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7892050*s**2 + 31475185*s.\nAnswer: -15784100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -0.1, -523\/5 in descending order.\nAnswer: 10, -0.1, -523\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 230, 919, 2070, 3683, 5758, 8295?\n\"Answer: 231*b**2 - 4*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + r + 15 = -3*p, 3*p + 4*r = -20. Let y(f) = 950*f + 0*f**2 - 944*f + f**2 + 4. Let b be y(p). Solve 5*v - 29 = -4*m + 6, -4*m + b = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -42 - -38a7?\nAnswer: 3865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 92566.5 millennia?\nAnswer: 1110798000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 60, 165, 342, 609, 984?\nAnswer: 1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 943489110 rounded to the nearest 1000000?\nAnswer: 943000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/66*(-10)\/(-15)*38\/(6840\/54)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8452.\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 789309579 divided by 552351?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21190 and 41545440?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-29 + 20\/(-4)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight sevenths of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.46819 millilitres to litres.\nAnswer: 0.07846819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 653 divided by -2?\nAnswer: -653\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 5 in ascending order.\nAnswer: -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 558*b**2 + 51894*b - 1608714.\nAnswer: 2*(b - 93)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 57706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13 (b) -1\/3 (c) -0.11 (d) -66 (e) 3 (f) -0.4 (g) -14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100b (base 15) in base 12?\nAnswer: 1b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000125602 to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135718?\nAnswer: 2, 11, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3575 and 78325?\nAnswer: 861575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -68\/9, 2\/5 in ascending order.\nAnswer: -68\/9, 2\/5, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 174, -217, 290 in ascending order.\nAnswer: -217, 174, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 3:38 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830122959 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4472 less than 0?\nAnswer: -0.4472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12048 - -12071. Suppose s - 4 - 5 = -3*z, -z + 4*s = -16. Suppose -z*q = -8 - 12. What is the remainder when x is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (160 - 172) + 18 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009903 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220 divided by 5?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = 2*s. Suppose 3*c = s + 8. Suppose 0*w = c*w - 9. Solve -4*l = -3*h + 6*h - 3, -3 = 2*l + w*h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6516)\/765 - -8 - 20\/(-170). Which is the closest to u? (a) 0.3 (b) -0.8 (c) 2.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(72)*2 + -2*sqrt(72)*-2)\/((sqrt(54) + sqrt(216)\/sqrt(4))\/sqrt(9)*-5).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + k**2 - 15*k - 19. What is j(-5)?\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -5*t + 4*c, 14*t - 9*t + 4*c + 48 = 0. Let l be (1 - 0) + (-60)\/t - 0. Solve -2*x + j + 4 = -l*x, 3*x + 2*j + 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.03, 3, 2, -30 in decreasing order.\nAnswer: 4, 3, 2, 0.03, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 9*c**3 + c**2 + c - 4. Let d be k(-1). Let z = 9 + 4. Calculate the highest common factor of d and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4656 divided by 2?\nAnswer: 2328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 11*k + 8*k - 7*k - 72*k**2 + 12. Let o(p) = p**3 - 3*p**2 - 33*p - 63. Let h be o(-2). Let n be l(h). What is n rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = -5*a + m, a = -4*a + 4*m + 265. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 f, and 1 k when four letters picked without replacement from {v: 1, k: 1, f: 4, m: 1, t: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/44 - 91\/132. Which is the biggest value? (a) g (b) 0.3 (c) -0.1 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824 is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/20 and 8732\/1110*(0 + 15\/(-96)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + y + 2*y**4 + (-6*y + 3*y + y)*(-5*y**3 + 2*y**3 + y**3) + 2*y**4 - y**4 + y**4 - 178005*y**3 + 803*y**4 + 89007*y**3 + 88996*y**3.\nAnswer: 811*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21, 3, -5, -0.05, 4, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 186593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 210481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19080, -149447, -503300, -1192383, -2328440, -4023215?\n\"Answer: -18624*z**3 + z**2 - 2*z - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 12:53 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135334 and 1293.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 668 (b) 0.03649 (c) -0.3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207592 is divided by 8301.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-132570)\/900)\/((-63)\/4). Let z = 230\/21 - s. Find r such that -14\/5*r**4 - 38\/5*r**3 - 10*r**2 - z - 32\/5*r - 2\/5*r**5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 125 = -4*v, 487 = -26*c + 13*c + 15*c + 8*v - 25*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5268 is divided by 4998.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w + 0*w - 3*w)*(-w + w - w**4) + 2*w**3 - 2*w**3 + w**5 + (w**2 - w**2 + w**5)*(-2 + 1 - 1) + w**2 - w**2 - w**5 + 3*w**4 - 3*w**4 - w**5.\nAnswer: -5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16537048890 - 17.\nAnswer: -16537048907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - 99 + 328 + 3*j**3 - j**3 + j**2 - 2*j**3 to the form a + u*j + p*j**3 + d*j**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/68 in 4\/3, -25, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -28*x - 9. Let y(n) = 6*n**3 + n**2 - 2. Let g be y(1). Let j(i) = 499 + 84*i - 251 - 222. Let v(u) = g*j(u) + 16*b(u). Differentiate v(l) wrt l.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -173*w**2. Let m(g) be the second derivative of g**3\/2 - 2*g + 380. Determine m(f(p)).\nAnswer: -519*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*t + 12840 = 0, 2*t = -6*w + 5*w + 12832. What are the prime factors of w?\nAnswer: 2, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6)*(-567)\/252)\/((-6)\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/1009 (b) 204 (c) 3 (d) -2\/175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.047? (a) 1.5 (b) -13 (c) -1\/3 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u - 72 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9924981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7078 = 5*g + 3*a + 551, 3901 = 3*g - 2*a. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2 = 7, 29 = 4*y + o for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13952, 13959, 13976, 14009, 14064, 14147, 14264, 14421?\nAnswer: 14624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 4, z: 1, h: 4, s: 6}. What is prob of picking 2 s and 1 z?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3*(16434\/(-12))\/(-11). Let n = 101 + s. Calculate the remainder when 29 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*k + 3*k - k to the form d + u*k and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 638 and 15345408?\nAnswer: 168799488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q*q*q**(-10))\/q*q*q)*q*q\/(q*q**15\/q)*q)\/(q*q**(-2\/19)*q**(-5)) assuming q is positive.\nAnswer: q**(-17\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 13*v - 25 = 0. Let n be ((-1)\/(v\/75))\/3. What is the second biggest value in 0.5, -0.1, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/45 - (-84)\/45. Let h be 1*(b - 0)*1. Solve -3*l = h*l + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3618700 to the nearest 10000.\nAnswer: -3620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*n + 23*n + 30*n - 3*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 16*p = 40. Let k(h) = -5*h + 4 + h - p. Let o(j) be the first derivative of -2*j**3\/3 - 1. What is k(o(v))?\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 15190.\nAnswer: 30380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -3.5. Let i = -6 - q. What is the biggest value in i, -2, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*h - 42 = 3, -2*t - 5*h = -48. Solve -2*f - 25 = -t for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83004*f**3*x**2 - 62*f**3*x + 10*f**3 + 2*f**2 - 564*f*x**2 + 893*f - 3*x wrt x.\nAnswer: -166008*f**3 - 1128*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 943567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/1141 and 37\/1085?\nAnswer: 176855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 3*m**3\/2 + 1136*m. Let r(c) = 89*c. What is z(r(k))?\nAnswer: 801*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-9) - 2668\/(-522). Solve -3*v + 612 = -t*n + 626, 3*v = 3*n - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 0\/((-3)\/(-3)). Let f(o) be the first derivative of -o**4\/4 - 5*o**3\/3 - 5*o**2\/2 + 5*o - 6. Let t(r) = -r**2 - r + 1. Determine j*f(h) - 5*t(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, o: 1}. Give prob of picking 2 u.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 97602424613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1421304 (base 5) in base 16?\nAnswer: -738b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-6) + 4\/(-6). Suppose b = -b - 16. Let d = -4 - b. Sort d, 3, s.\nAnswer: s, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ddddgdgdddddddddddgg.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -178 - -711\/4. Which is the closest to 0.2? (a) 0.5 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3566*v - 3566*v + 7*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(40\/202) + 4\/(-40)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.214 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 488 - 478. Let b be 5*(-2)\/(-2)*1. Solve -b*t + q = -10*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 + 37.1. What is the nearest to -1 in -3, -1\/3, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**4\/4 - 8795*a**3\/4 + 8775*a**2\/2 + 8795*a - 17570 = 0.\nAnswer: -2, 2, 1757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7357.223 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**5 + 2*j**3 - 2*j**2 - 8*j. Let f(q) = -17*q**5 + 7*q**3 - 7*q**2 - 24*q. Let u(m) = 2*f(m) - 7*p(m). Find the second derivative of u(c) wrt c.\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 6482285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.6 + 24.66. What is the third biggest value in -8, 1\/2, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2705 + 2706. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6397*f - 3087*f - 8340 = 3171*f for f.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 32367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -5013156?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 37*v - 7. Let a be n(2). Let g = a + -103. Let z = g - -40. Solve z*j - 8 = 4*c, 6*c - c = -5*j - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114546458 is divided by 5557.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2425482 to the power of 1\/2, to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034 times 2.2?\nAnswer: -0.0748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 6 = 4*b + 7*k, -3*b - 2*k + 6 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**3 - 3*c**3 - 4*c**3 + (c**2 + 2 - 2)*(-6*c + 2*c + 3*c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270086, -540173, -810260, -1080347?\nAnswer: -1350434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**5\/10 + p**4\/6 - 4*p**3\/3 + p**2 + 703*p + 3. Let j(b) = 4*b**3 - 5*b**2 + 17*b - 4. Calculate 5*a(x) + 2*j(x).\nAnswer: -2*x**3 - 6*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10\/3 (b) 1 (c) -210\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1562 or 1564?\nAnswer: 1564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 6 = 64*r - 66*r, 5*n - 5*r = -5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30167938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (-544)\/32 + -1 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 756783 from 177.\nAnswer: -756606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83.2 + -91. Let x = u + 7.80000081. Round x to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - 0.1. Let i = -6 + u. Let h = -6.999993 - i. What is h rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -15. Let r = 9 - f. What is the second derivative of 3*a**4 + 5*a - a - r*a**2 + 10*a**2 wrt a?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - (-26 + 89 + -34)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4\/2 - 127*o**3 - 3885*o**2\/2 - 9212*o - 11662 = 0.\nAnswer: -238, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -30441000 rounded to the nearest 1000000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Let d(z) = z - 1. Let x(y) = -7*y + 5. Let l(h) = -6*d(h) - 2*x(h). Let n(j) = 7*j - 3. Let w(i) = -2*l(i) + 3*n(i). Calculate 6*s(g) - w(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (2 - (2 + 3)). Let a(s) = -s**3 - s**2 - s + 6. Let b be a(x). Let r(k) = k - 3. What is the units digit of r(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 5*t**2 - 2*t + 2. Let h(v) = -v - 2. Let z be h(-6). What is i(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkhhq. Give prob of sequence hh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -2. Let w = 1.6 + f. Let r = 2.015 + -0.015. Sort 1\/10, w, r in decreasing order.\nAnswer: r, 1\/10, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r = 4*u - 2780, 5*u = 4*r - 3686. Let c = r + 514. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97277934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321997056 divided by -6708272.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*((3 - -6) + 155\/(-15)). Let l(d) be the third derivative of 5*d**4\/24 + 41*d**3\/6 - d**2. Let b be l(f). Solve b = -m - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.116*-15959.\nAnswer: 17810.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -6*z + z. Solve -4*k = -x - 12, z*k - 2*k - 5*x = 30 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from rreozrrqrpppz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 22.9*451.75\nAnswer: 10345.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.196 + -2.536. Let o be ((-8)\/4 - 1)\/(-1). Which is the fourth smallest value? (a) -4 (b) s (c) o (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -336040450 to the nearest one hundred thousand.\nAnswer: -336000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 8*r - 6. Let q = -387 - -378. Calculate i(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 56\/(-24) - ((-30)\/6 - -2). Let k = 37 - 405\/11. Let q be 5\/4 - 60\/60. Which is the closest to 1\/4? (a) q (b) k (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -65, -164, -317, -530, -809?\nAnswer: -1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 276 + -1.1\nAnswer: 274.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) - (sqrt(540)*-3 - sqrt(540)))\/sqrt(12))\/(sqrt(81)\/(sqrt(9) - -2*sqrt(9)))*1.\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 776813 to the power of 1\/2, to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-74)\/3)\/((-32)\/48). Let w = l - 28. What is the least common multiple of ((-6)\/3 - -1) + 10 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27866 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 3*t**7\/280 - 7*t**6\/120 + t**5\/8 - t**4\/8 + t**3\/3 - 6*t**2. Let g(f) be the first derivative of s(f). Solve g(n) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13077, 8, 15.\nAnswer: -13077, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*w - 267 - 30, 0 = 5*x + 3*w - 495. Calculate the greatest common divisor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 7*i**2 + 7*i + 8. Suppose -f = 4*f. Suppose 3*w - 5*w - 12 = f. What are the prime factors of c(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 356, 1097, 3144, 7145, 13748, 23601, 37352, 55649?\n\"Answer: 108*a**3 + 5*a**2 - 30*a + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 74.97. Let j = 3.77 + d. Which is the closest to 3\/4? (a) -2 (b) j (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 12 = -4*y. Suppose 10*z - y*z - 72 = 0. Calculate the greatest common factor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x + 54*x - 201*x - 94*x.\nAnswer: -265*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-35 + 14 + 9) - (-7 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 21. Suppose 0 = -q*s + 4*s. Let m = -0.1 - 3.9. Which is the nearest to s? (a) -0.3 (b) 3\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30828 or -30833?\nAnswer: -30828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1364 + -1.1279. Let j = -0.0085 + u. Put j, 2, -0.07, 5 in descending order.\nAnswer: 5, 2, -0.07, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y + y - 3*y)*(2 - 773*y + 83*y**2 + 774*y - 30*y**2) as c*y**2 + d*y + a + x*y**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1979*j + 979*j + 3*j**2 + 1000*j. Let t(o) = -14*o**2 - 4. Give t(n(a)).\nAnswer: -126*a**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 12:59 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 23 = -4*x + 43, 3*b - x = -60 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 49 = -29. Suppose 0 = 13*h + i*h - 230. Calculate the remainder when 124 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v - 76. Let u = -19 + v. Solve 5*p - 4 - 16 = u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2 - 3912*l - 96550 = 0?\nAnswer: -1931, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 62 = 52 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c + 4*i + 35 = 0, 0 = -5*c - 2*i + 131. What is the remainder when 78 is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33*(-19)\/(-1672)*-16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48394817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5170, 10672, 16174, 21676, 27178, 32680?\nAnswer: 38182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -3.66, 5\/6?\nAnswer: -3.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 155.8 to the nearest integer.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 1670268416*k + 174362286342946816.\nAnswer: 4*(k - 208783552)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.626078 rounded to 3 decimal places?\nAnswer: 3.626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2117*r - 5648*r - 2*r**2 - 2*r**3 + 2*r**2 - 1.\nAnswer: -2*r**3 - 7765*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274 + 264 + (0 - 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 37*n**2 - n - 1. Let h = -6 + 5. Is y(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-4)\/(-10)*195\/(-468))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*t + 5. Calculate the smallest common multiple of -3*1*50\/(-15) and ((-18)\/t)\/((-2)\/(-14)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((636\/954)\/((120\/(-9))\/5)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14968677*f**4 + 313*f**2 - 10*f + 195 wrt f.\nAnswer: -359248248*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113\/3 - -34. Which is the smallest value? (a) s (b) 2\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4114083, -1.\nAnswer: -2, -1, 4114083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 + 9\/(-1))*(27 - 0). Is -24 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029104679 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + -5 + -3 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 e when three letters picked without replacement from eedededueudddd?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*w**3 + 3*w**3 + 5*w**3)*(6*w - 17*w + 6*w) - 8*w + 25*w - 14*w + 11*w**4 - w**2.\nAnswer: 41*w**4 - w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 833*k - 802*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -2. Let h = k - -29. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 1. Let o be (-24)\/14*(-42)\/12. Suppose -4*w = 5*q - 28, 4*q + o = -3*w + 28. Let a be d(w). Solve -i - 3 = -a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8995 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -11*k - 19. Let w be q(-2). Solve -w*v + 5 = -2*i, 3 = -5*v - 2*i + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, -1\/5, -486, 0.04, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 27 - 78, f + 7*x = 3*f + 121 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-34)\/4 - 283\/566\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 393, 38, -3, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5103?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (31 + 4 - -94)?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 14*x. Suppose 4*u - 14 + 2 = x. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6727.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179355 is divided by 4372?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303187 is divided by 294.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 1:07 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.78144032 rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 3*z - 828 = 0. Suppose -2*t + 6*t + z = 0. Is t\/(-115) - 6664\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 5\/6*n**4 + 0*n + 4\/3*n**2 + 8\/3*n**3 - 16. Factor c(h).\nAnswer: 2*h*(h + 2)*(5*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffll when four letters picked without replacement from lfxrrflflrrmnl.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -41. Let q be (341\/66)\/(1\/30). What is the greatest common divisor of r and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {e: 5, h: 4, g: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.97 * 1769.35.\nAnswer: 8793.6695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1edf - -77?\nAnswer: -1e68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 45 = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518223 is divided by 6094?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -20*m. Let y(f) = -125*f - 37. Let a(z) = 6*t(z) - y(z). Calculate a(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -12) + 3 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 3*q**2 + 2. Let v be b(2). Suppose 0 = 2*m - 11 + 3. Let t = m + v. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - 5. Let l = 65 + k. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqqzhzqhlzzlqz. Give prob of picking 1 h, 2 l, and 1 n.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2)*(-10)\/(-5). Let r be -1 - u - -3 - -2. Factor -15*v + 41*v**2 + r - 14*v**2 - 3*v.\nAnswer: 3*(3*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*b + 4*b. Suppose -2*k = b*t - 179, -k + 0*t + 85 = 4*t. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 + -101. Let h = -23 + 34. Which is smaller: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662969627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1208*d - 2049*d + 8 - 8 - 2036*d as o + c*d and give c.\nAnswer: -2877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1097 - -453. Let z = c + 923. Let a be 4\/(-10) + 471\/15. What is the highest common divisor of a and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12855948?\nAnswer: 2, 3, 7, 31, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**2 + n - 1. Let a be f(1). Let o(t) = -8*t - 8. Let b be o(a). Suppose -y - y = -b. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (4*sqrt(18)*-4 - (sqrt(1152)*-5 + sqrt(1152))**2))*-2.\nAnswer: -73728 - 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*l - 12 = 0. Let u be l\/12 + 308\/6. Suppose -m = -0*m - u. What is the highest common factor of 34 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*m + 36*m = 154 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 1586*i - 1591*i + 114, 68*i - 38 = -v for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.007771064 and 0.09.\nAnswer: 0.00069939576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007961579 to seven dps.\nAnswer: -0.0000796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 5, -1 in decreasing order.\nAnswer: 77, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1 + 0 + 4*p**2 + 2*p**2 - 2. What is s(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2220664103.\nAnswer: 7, 2503, 126743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -138494 (base 11) to base 16\nAnswer: -34c91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1\/4, -5, 0, 0.036?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001257628167 rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -6, -0.2, -54?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*y - 18, -5*f - y = -17 - 7. Suppose -4*u + c = -f, 0 = -u - 3*u - 4*c. List the prime factors of 5*u*(-3)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 587, 1370, 2479, 3920, 5699?\nAnswer: 7822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 11:33 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47047 + 31?\nAnswer: -47016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1190)\/170 - (-1 + (3 - 1))*-22\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30631741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**2 - 10*b + 29. What is the units digit of s(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r - 369. Give g(63).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2381 - 0\nAnswer: 2381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 8:33 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8826434 and 0.4.\nAnswer: 3530573.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 175582331 a multiple of 4364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7050\/282*(-40)\/(-125)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05485 - 5.70815. What is p rounded to 1 dp?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*k - 2*a = 151*k - 70*k - 3*a - 22, k = -3*a - 31 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 3:06 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 15. Suppose 2*m - 3*s = b, -3*m - 17 = 2*m + s. Is (86\/m)\/(2\/(-21)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (6*(sqrt(95) - (sqrt(95) - sqrt(95)*2)) + -3*(-3*sqrt(95) + sqrt(95)))\/((-1*sqrt(200))\/(4*sqrt(40)\/sqrt(4))))**2.\nAnswer: 360*sqrt(19) + 24649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/362264 and 21\/40.\nAnswer: 1811320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*v + 12 - 10*v - 21)*(-2 - 2 + 6) in the form q + c*v and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17444 + 2?\nAnswer: 17446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 49*s - 162. Let z be d(45). What is the greatest common divisor of z and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 18665977 = -10151631. Let a = -32191196 + f. What is a rounded to the nearest one million?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + 50. Let p be 4\/t + (-30)\/(-7). Solve w = -p*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/p**1))\/p)**41*p**(2\/3)*p\/(p*p\/(p*p**2)))**(-10\/3) assuming p is positive.\nAnswer: p**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -13 - -47 - -4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/10)\/((-3)\/(105\/(-14))). Find r such that 3413*r - 8*r**3 + 2*r**4 - 3415*r + 6*r**2 + c*r**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27067589 or -27067586?\nAnswer: -27067589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p. Let l(y) = -2584*y**2 - 2589*y**2 + 5175*y**2 + 4. Determine l(g(j)).\nAnswer: 18*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcqlclfmg. What is prob of picking 2 m and 1 q?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2193983 - 1292594. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6438097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -389 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -410410 (base 5) in base 12?\nAnswer: -77a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 873.2719 centuries?\nAnswer: 87327.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 74, -10, 1 in increasing order.\nAnswer: -10, -4, 1, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-3))\/((-2)\/678). Let c = h + -322. Let v be c\/(-9)*30\/(-4). What is v rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 3*h**2 + 3*h + 4*h**2 - 3. Let d be s(-3). Let l = 127 - d. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3*(-3)\/(-1). Suppose -6 = -i*d + 10. Suppose d + 12 = 4*b + 4*h, h = 3*b - 3. Is b > 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 103524.\nAnswer: -1\/51762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 415*s - 418*s + 3*q, -s + 12*q + 0*q = -5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-7\/6))**45\/(v**(2\/11)*v)**(-2\/53))**5 assuming v is positive.\nAnswer: v**(831035\/1166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 51. Let s(w) = w - 2. Let k(t) = -i(t) + 4*s(t). What is the units digit of k(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129870 divided by -14430?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + 1)*(0 - 1 + 3) + 0 - 3 + 1 + (-3 + 0 - 2)*(-4 + 6 - 3))*(4*h**4 + 0*h**4 + 2*h**5 - 2*h**4 - 5*h).\nAnswer: 10*h**5 + 10*h**4 - 25*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*m - 8*m - 6*m - 7*m - 9*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -2*b - 5, 295*x = 272*x + 3*b + 100 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1195 + -351.4.\nAnswer: -351.2805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 4:47 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 4:43 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 4*f = 28. Suppose -p + d = -1 - 5, p - 5*d - f = 0. Suppose 3 + 25 = p*v + 2*i, 4*v - 24 = -i. Put v, -4, 1 in descending order.\nAnswer: v, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3 + 188*z**2 - 794*z - 980 = 0.\nAnswer: -98, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87 + 48 - -82 - (1 - (1 - 0)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 224\/980*((-11)\/((-2695)\/(-25)))\/((-16)\/28)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 2. Let f be o(-6). Let z = 14 + f. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 7*q + 28 + 31 - 43 - q.\nAnswer: (q - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55505\/11 - -89363347\/17710. Calculate the common denominator of -103\/3864 and d.\nAnswer: 19320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 0*v**3 + 1\/30*v**5 + 0*v - 2*v**2 + 9 + 0*v**4. Determine k, given that i(k) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/21)*h*h**(-12))**(-15\/7))**24 assuming h is positive.\nAnswer: h**(27960\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6)*3\/2. Let q(u) be the third derivative of -u**6\/20 - u**5\/60 + u**3\/6 + 6*u**2 - 3. What is q(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 712, 1422, 2132?\n\"Answer: 710*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 + -21. Let p = -34 + c. Let z be (-65)\/(-30) + p\/12. Solve z*d - 9 + 1 = 4*h, -3*h - 24 = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -37*y**5\/40 + 7*y**4\/24 + 15*y**3 - 42. Let v(d) be the third derivative of l(d). Differentiate v(p) with respect to p.\nAnswer: -111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1309.7668 rounded to the nearest 10?\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + q + 7. Let h be o(8). Suppose -843 + h = 4*l. Let w = 368 + l. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 9 + -1*(-269 - 0). Suppose 21*y = 25*y - c. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 11075761?\nAnswer: 44303044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 34*u**3 - 3*u**2 + 3*u. Let l(n) = -441*n**3 + 3*n**2 - 4*n + 190*n**3 + 216*n**3 + n**2. Give 3*l(y) + 4*x(y).\nAnswer: 31*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -169, 0.4, 2, 2017 in decreasing order.\nAnswer: 2017, 2, 0.4, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000023735 to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5310?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**4 + 80*x**3 + 120*x**2 - 1600*x + 2000 = 0. Calculate x.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 291 and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2101.\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 267 + -270.81. Let l = -4.01 - d. Which is the nearest to -1? (a) 3\/7 (b) l (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -76 and 2592713.\nAnswer: 2592637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -110*d + 238. Let k be r(2). Let a(v) = -v**2 + 4*v - 3. Let z be a(6). Let i = k + z. Solve -g = i*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 2*d - 3*j, 0 = -5*d + j. Suppose d = -3*s + 10 + 17. Let k be (6\/s)\/((-2)\/(-15)). Solve k*r + 0*r = -15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 105177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97*n**4 + 96288*n**2 + 1539*n + 7129 wrt n?\nAnswer: 1164*n**2 + 192576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from {r: 1, q: 2, e: 1, o: 2, t: 1, v: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2161 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17834 and 4.369.\nAnswer: -0.77916746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygs when three letters picked without replacement from {g: 3, y: 2, s: 8, h: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-256)\/(-40)*(-10)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(190)\/(-5*-1*sqrt(10)).\nAnswer: sqrt(19)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 + 18*m**3 - 1499 + 1499.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.5 (b) -6\/5 (c) 1\/5 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 311580236 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -209 or -7077\/34?\nAnswer: -7077\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**4\/4 + b**3\/3 - 5*b + 230. Suppose 2*l = 3*c + 15, -4*c - 15 = -3*l - c. Calculate r(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**3 - 237*p**2 - 3834*p + 128304 = 0. Calculate p.\nAnswer: -27, 18, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1220819?\nAnswer: 1220819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13838*n**2*u**3 + n**2*u + 72*n*u**6 + u**3 + 9*u**2 + 23*u - 72 wrt u.\nAnswer: 83028*n**2 + 8640*n*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - q**2 - 3*q - 6. Suppose -6*g + 5*g - 3 = 0. Let u be o(g). What are the prime factors of ((-206)\/(-3))\/((-22)\/u)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155135 is divided by 335.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016681620 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5*-2*sqrt(153)*-6)**2 + -5*(-4 + -1 + sqrt(17) + sqrt(17) + sqrt(17) + (-1 + sqrt(68))**2) + 5)*2.\nAnswer: 10*sqrt(17) + 1100964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (92\/(-14) + 6)*7\/(-38). Put w, 4, 0.5, -50 in increasing order.\nAnswer: -50, w, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-882)*(-9)\/(-6)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 429\/(-22)*(1 + 5). Let s = t + 115. What is the fourth smallest value in s, -4, 4, 0.01?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16780800 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 13 - 11*j**3 - 7 + 3*j to the form l*j + t*j**3 + g + o*j**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1949097 is divided by 211?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1499781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 5, -0.2, 240, -3\/4 in decreasing order.\nAnswer: 240, 5, -2\/11, -0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*x + 36 = 267*x - 132*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 1. Let g(q) = -21*q + 30. Determine -g(x) + 18*h(x).\nAnswer: 3*x - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(4 - 12) + 4 + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**5 - 570*b**4 - 4225*b**3 + 1720*b**2 + 13860*b + 8480 = 0.\nAnswer: -106, -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -231.7 + 232. Let a be 2 + (-9)\/5 + 0. Sort 2, a, m.\nAnswer: a, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -2021?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -141 greater than -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-10)\/(-45) - 231\/99).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 at least as big as 60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3*4*7\/(-336))\/(1245\/(-664))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7976889*a**2*n**2 + 4*a**2*n - 2*a*n + a + 12*n**3 + 72548*n wrt n?\nAnswer: 15953778*a**2 + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 986670353?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 16, -0.4, -1028?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 18932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 12:23 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 1. Let m(j) = -j - 4. Let z be m(v). Let x be z + -1 + 0 + 4. Solve 0 = -0*d - 4*d - 5*p - 33, -2*d + 21 = -x*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 12. Let n be h(21). Let a = -7 + n. Determine x, given that 4\/7 - 2\/7*x**3 + 8\/7*x**a - 10\/7*x = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*v**3 + 0 - 4\/3*v**2 - 2\/3*v.\nAnswer: -2*v*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 568 divided by 46.\nAnswer: 284\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.09 + -0.09. Let k = q + -6.1. Let v = 0 + -0.5. Which is the nearest to k? (a) v (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -13*d**2. Let p(g) = -38*g**2 - 26*g - 26. Let z(k) = 4*k**2 + 3*k + 3. Let i(f) = -6*p(f) - 52*z(f). Give -5*i(w) - 8*l(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 4*p**2 + 14*p - 7. Let i be a(6). Let j(k) = k - 4. What is j(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 2, u: 1, k: 1, i: 2}. What is prob of sequence rk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -5, 3\/5, 1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24378600 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22584*q + 2458*q = -664158 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1150.42 + -1114. Let v = d - 34.6. Round v to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*g - 6*g. Let q = 1 + -7. Let x = q - g. What is the least common multiple of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1681511227 to the nearest integer?\nAnswer: 41006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 3*p**2\/2 + 2*p - 38. Let h(g) = g + 1. Give -5*h(l) + v(l).\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atiktkittttatt. Give prob of picking 2 a.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2774 or 146950\/53?\nAnswer: 146950\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**2 + 4*x**2 - 11*x**2 - 14*x**2 to w*x**2 + l + f*x and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tww when three letters picked without replacement from {t: 2, u: 7, w: 7}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 1) + -2 + -1. Let i = -1\/202 - 601\/1010. Let f = -782\/3 + 261. Which is the nearest to -1? (a) f (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53190 = 743*d + 2803*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -2*v - v, 5*r + v - 14 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-531)\/63 - (15 + (-1495)\/91).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 6030 = -12632. Let x = s + -944. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 537732096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6 = -2. Suppose -y*t + t = -6. Suppose -t*o - w = -2*w - 14, 0 = 5*o + w - 28. Does 6 = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1646*v - 1646*v + 135*v**2)*(7*v**2 - 10*v**2 - 3*v**2).\nAnswer: -810*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.7 + 10. Let n = -4.87 - -0.87. Put 0.2, u, n, -4\/3 in descending order.\nAnswer: u, 0.2, -4\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195172608 and 256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 13 + 23*r - 2*r**3 + 0*r to the form k + m*r**3 + j*r + b*r**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7080 is divided by 3535?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7209*m + 7207*m + 7209*m - 28360*m - 3*m**2 + 6735*m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/11)\/b**(-2\/17)*(b*b\/b**10*b)\/b**(-16) assuming b is positive.\nAnswer: b**(1739\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + p**2 + p + 2. Suppose -2*i = -2*i - 4*i. Let u be c(i). Solve 2*a + u*n + 8 = 0, n + 14 = -3*a - 0*n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12602522 is divided by 586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 85\/(-15) - 2\/6. Let c be 8\/p*3\/(-2). Let q(a) = 3*a**3 + 7*a**2 - 1. What are the prime factors of q(c)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 16170 + 16170. Let z(q) = 4*q + 3. Calculate z(k(o)).\nAnswer: -4*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.51506 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707724*g + 707714*g - 320 = 0 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/(-42) + (-3)\/(-7) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 13) to base 7\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/4939 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a week in hours?\nAnswer: 273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 270\/180*8\/3. Solve 3*v = -2*g + 2, -2*v - 11 = m*g - 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0276 and -39.\nAnswer: -1.0764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220 + -322311333?\nAnswer: -322312213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdd when three letters picked without replacement from {p: 3, d: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-149)\/180 + 1 - (-186)\/(-155). Let v = u - -5\/4. What is the second smallest value in -3\/8, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 538162 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -78. Calculate the highest common divisor of 133 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/20*12\/15. Let q be (-18)\/32*(-4)\/3. Which is the second smallest value? (a) -6 (b) p (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2638 * -13.41.\nAnswer: 3.537558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - i. Let q(p) = -p**3 - 2*p + 1. Suppose -1099 = 5*d + z, -13*d - 5*z - 677 = -10*d. Let b = d - -220. Give b*q(s) - 2*t(s).\nAnswer: -s**3 + 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 2. Let f be i(-7). Let u = -2178 - -2177.97. Let r = 280 - 280.1. Which is the smallest value? (a) r (b) 2 (c) u (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 830 = -4*p, -4*p - 6*r - 827 = -9*r. Let y be (-14)\/(-63) + (-1123)\/(-9). Let o = y - p. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1472 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 65479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r. Let u(d) = 663*d**2 + 14063. Give u(y(k)).\nAnswer: 663*k**2 + 14063","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 42330183.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -1\/6, 72\/379, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8872658 rounded to three dps?\nAnswer: -1.887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14.67+14556576\nAnswer: 14556590.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 s when four letters picked without replacement from sccssccsscssccccccc.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/3 (b) 1\/4 (c) 0.04 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 44. What is the remainder when 258 is divided by y(8)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -k - 13*k. Is k != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 75 - 3d?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 7:53 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-184)\/(-2))\/2*(25\/10)\/5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21583.\nAnswer: 113, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 1751.0688988351?\nAnswer: 1751.0688988351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/931250 and -61\/43750.\nAnswer: 6518750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 18 = -2*k + 2*j, 3*j - 55 = -5*k. Suppose -y - a = -k, 2*y = -0*y - a + 23. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3544, 7471, 11782, 16477?\n\"Answer: 192*k**2 + 3351*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 354, 2706, 9090, 21522, 42018, 72594?\n\"Answer: 336*h**3 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (sqrt(72) - (-1 + sqrt(72))**2)) + (sqrt(6)\/(sqrt(3) - sqrt(12)) + sqrt(2))**2.\nAnswer: -12*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213 - -10?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a - 3*a - 2*a)*(-1 - 4 + 0 + (-1 - 2 + 1)*(0 - 1 - 1) + 5 + 3 + 0).\nAnswer: -91*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*v - 150 - 476 = 0, 4*v = 5*f - 1068. Calculate the highest common factor of 8 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -29, 4\/9, -1\/7, 106, -5, 1, 5?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -13 + 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.805 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.1, -3\/4, -0.5, 3\/5 in decreasing order.\nAnswer: 3\/5, 0.1, -1\/4, -0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 0*c - 2*c)*(250 - 250 + 160*c**2).\nAnswer: 320*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 15. What is the units digit of (-2)\/v + 68\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = l + 80, 0 = -4*l + 5 - 1. Let i = 25 + a. Let o be 2 + i - 12\/(-90). Sort -1\/3, o, -2.\nAnswer: -2, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -2\/11 (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102780.\nAnswer: 2, 3, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654143009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 347.51 (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6699980 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5459, -43737, -147633, -349955, -683511, -1181109, -1875557?\n\"Answer: -5468*l**3 - l**2 + l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*d - 11961 - 8289. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*r - 180*r + 5 = 173*r, -2*u = r + 31 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1052 - 775. Solve 0 = 280*c - t*c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4032790 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6140655586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8500 - -40a?\nAnswer: 890a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120384 and 7752?\nAnswer: 2046528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*d + 3*d - 4*s, 3*d + 3*s + 21 = 0. List the prime factors of -2 - (2 - d)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00099 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05812 + 2.251207?\nAnswer: 2.193087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1188989.\nAnswer: 181, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -55041 greater than -1.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.003 - -0.197. Let m = -0.03 - -2.03. Which is the nearest to -0.1? (a) m (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 76 = 166. Let b = s - 90. Put b, -2, 11 in decreasing order.\nAnswer: 11, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2868, -2813, -2766, -2727?\nAnswer: -2696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 10. What is the least common multiple of 3 and p(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 27623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148645 is divided by 74314.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/13 + 438*t**2\/13 - 39068*t\/13 + 402288\/13 = 0 for t.\nAnswer: -289, 12, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -171, -297, -423?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, -1, -3544 in decreasing order.\nAnswer: -1, -90, -3544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 4. Suppose -2*t - 88 = 2*t. Let k = -46 - -20. Let p = t - k. Calculate l(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6\/47 - 859\/470. What is the common denominator of 95\/2 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 533 + 754. Calculate the smallest common multiple of j and 130.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**8\/28 + 31*i**5\/60 + 419*i**4\/6 - 68*i**2 + 17*i. Find the second derivative of n(o) wrt o.\nAnswer: -240*o**3 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073841337 rounded to three decimal places?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * -1399.\nAnswer: 26581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -2020101?\nAnswer: -2020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 4*v + 4*v)*(-3*v + 74*v**2 - 78*v**2 + v + 1).\nAnswer: -8*v**5 - 4*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4\/13 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3\/(n**(-3\/22)*n))\/(n*(n\/(n**(1\/5)*n))\/n)**(1\/12) assuming n is positive.\nAnswer: n**(1421\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-8))\/((((-156)\/65)\/6)\/((-116)\/26245)).\nAnswer: -1\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6838\/1052 - (20388\/216 + 1\/9).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20155 + 20155.6. Which is the nearest to -2\/17? (a) 0.5 (b) 0.04 (c) 3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203 + 803. Let a be (x\/9)\/((-5)\/(-15750)). Round a to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from aggfg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b - 21?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9268.\nAnswer: 2, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -30304.039.\nAnswer: 12121.6156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*l + 0*l - 26 - 2*l**3 + 45 with respect to l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -10*n - 42. Does 33 divide w(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4757665*h**3 + 3036*h**2 + 3036*h + 1518. Let m(o) = 15676*o**3 + 10*o**2 + 10*o + 5. What is -1518*m(q) + 5*u(q)?\nAnswer: -7843*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 25499. Let p(c) = c + 21856. Let j(w) = -7*p(w) - 6*r(w). Suppose -10 = -7*l + 2*l. Suppose 5*k = x + 2, x + 4*k = -0*k - l. Give j(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3000.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -282.8 + 282.4. Sort -659, -5, a in decreasing order.\nAnswer: a, -5, -659","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78127 is divided by 832.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -33.91.\nAnswer: -6.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320 (base 6) in base 11?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/21*(-258)\/4. Let v = r + -3. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6 + 1\/(-3). Suppose -2*p - 4 = -2. Let k be 0\/(p + 0) + -12 + 8. Sort -5, k, v in descending order.\nAnswer: v, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 8*j**2 - j + 8. Let q be b(8). Suppose q*x - 5 = -x. Let i(s) = -s**3 + 13*s**2 - 5*s + 6. Is i(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 11 + 4. Suppose -y + 20 = w*q + y, -q = 4*y - 22. Solve 2*o + 6 = 3*s + s, 2*o + 12 = -q*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 0 - 7*l - 1 + 8. Let h be f(6). Which is smaller: 4\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 e when three letters picked without replacement from hehpehhehehheeeeh.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3160 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3837.\nAnswer: 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5474 and 3864?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - ((5 - (3 + 3)) + 7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-36))\/(26\/4 + -7).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 4*z**2 + 20*z + 9. Let u be p(-4). Which is greater: u or 53?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 442466683 to the power of 1\/3, to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -51\/1052788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36928 + -36926. Find o, given that 0*o - 1\/5*o**w + 1\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 822 + 1198. What is l rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -346 or -364?\nAnswer: -364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -111, -462, -1053, -1890, -2979, -4326, -5937, -7818?\n\"Answer: -t**3 - 114*t**2 - 2*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/8*(-44)\/77.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5 - 136*r**2 - 23*r - 1 wrt r?\nAnswer: 20*r**3 - 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6336 by 88.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 - 25806939492?\nAnswer: -25806939418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 3*s + 3*s)*(-4*s + 3*s + 2*s)*(153*s + 168*s + 13*s).\nAnswer: 668*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -309 + 186. Let w = j - -63.5. What is w rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1299, 1, 0.4, 0.3, -1\/46, 1.4 in ascending order.\nAnswer: -1299, -1\/46, 0.3, 0.4, 1, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/7 + 186021*w**3 - 80742229029*w**2 + 11682027922602807*w.\nAnswer: -w*(w - 434049)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36340901 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6 = -3*u, -u + 2*h = -1 - 3. Let p = 123\/920 - 1\/115. What is the nearest to -1\/4 in 5, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -284, -15\/11, 0.5, -5, 2\/3?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20\/19 in 8, -1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07481 + 0.05481. Let d = 4 - 8. What is the closest to -2\/7 in -0.4, d, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/37)\/(w\/(w*(w*w**(-10\/13)*w*w)\/w*w)))\/((w**(2\/3)*w)\/w**(-2\/5)) assuming w is positive.\nAnswer: w**(1574\/7215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 110*g**2 + 45*g + 45. Let i be (-2 + -2)*45\/4. Let l(h) = -5*h + 18804 - 18806 - 5*h**2 + 3*h. Give i*l(c) - 2*w(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-1104)\/(-90) - (42 - 41)\/(15\/(-9)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 3)\/((-2)\/20). What is the second derivative of -s**5 + 7*s**5 - j*s + 5*s wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3992, 4809, 6936, 11027, 17736, 27717?\nAnswer: 41624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -493*a - 667*a - 135*a + 159*a - 154*a in the form y*a + j and give y.\nAnswer: -1290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 43*b - 4. Let a be q(-4). Let g = -122 - a. Let i = g + -30. Calculate the greatest common divisor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.08162113 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 6:42 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 18\/55, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21112 + 321233?\nAnswer: 300121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 134448.\nAnswer: 1\/33612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -69a - -590?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtttutbqjbutttubb. What is prob of sequence qutu?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 65826209 to the power of 1\/2, to the nearest integer?\nAnswer: 8113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29610376897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**2\/2 - 5*z - 71. Let a(u) = u + 7. Give -5*a(l) - 7*h(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 18. Let i(h) = h**3 + 9*h**2 + 7*h + 3. Let t be i(-8). Give y(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 1. Let u = 8920.9 + -8921. Put u, 0.2, b, 13 in descending order.\nAnswer: 13, 0.2, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -87922 or -87929?\nAnswer: -87922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**8\/168 - 111*t**5\/20 - 421*t**4\/6 - 2*t**2 - 156. Find the second derivative of r(y) wrt y.\nAnswer: -40*y**3 - 666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 - 37*c + 129. What is the thousands digit of i(29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53426813.\nAnswer: 11, 41, 118463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7150986?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - h**2 + 7*h + 7. Let t be (-12)\/(-8) + 3\/6. Let f be (5 - 2) + 2\/(-2). Let p(r) = t - 1 - r - f. Determine 14*p(a) + 2*v(a).\nAnswer: -2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**4\/4 + a**3\/3 + a**2\/2 + 5*a - 2. Let i be f(0). Calculate the greatest common factor of 55 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 182412764 divided by -334?\nAnswer: -546146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(136) - sqrt(136))*2)\/(sqrt(200)*1).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 2*s - 5*s + (-26 + 3 - 15)*(2*s - 2*s + 2*s)*(-2 - 3 + 4).\nAnswer: 74*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 34*v - 232. Let i be d(25). Is (127\/(-5))\/(i\/35) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1815*h**2 - h + 38791?\nAnswer: -3630*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(9\/81).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.15 + -19.15. Which is the closest to -366? (a) w (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461.7776 months in decades?\nAnswer: 12.18148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 27600850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.11, 7, 0.2, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nannnnnannnnan. What is prob of sequence ana?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 4 - (-5 + 6). Solve b*j - 4 + 7 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-118)\/(-4) + (120\/16 - 5). Suppose 0 = 83*u - 67*u - z. Suppose 5\/4*j + 1\/4*j**u + 0 = 0. Calculate j.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 1 - -3 - (5 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4995017.\nAnswer: 4995017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 + 3*g + 12. Let x be s(3). Solve j - x*j + 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 f when three letters picked without replacement from nnnfnnnnnnnonnnnnn.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q = -35*q + 42 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 478 (b) 0 (c) -0.177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -213 - y + 297*y**2 - 471*y**2 + 168*y**2 to i*y**2 + l*y + a and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2345*g*m*r**3 + 3*g*m + m*r**3 - 91*m*r + 25 wrt g?\nAnswer: -2345*m*r**3 + 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1177.4322 microseconds to days.\nAnswer: 0.0000000136276875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 + -4 + 264\/(-20). Let m = 20 + o. Let z = 62 + -64. Sort m, -0.2, z, 4 in increasing order.\nAnswer: z, -0.2, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226024 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 k when three letters picked without replacement from {k: 7, p: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 0 + 7. Let w = k - 5. Suppose -w*q + 8 = 5*i, 2*i + q + 4*q = -1. Is i <= 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p**2 - 2*p + 2. Calculate a(4).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*g + 12. Let k(n) = 3*n**2 + 1. Let m be k(1). Suppose -4*r + 7*r + 5*o + g = 0, m*r = -o + 13. Solve 0 = r*b + 2*w + 7 + 5, 5*w = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*n**3*x**3 - 70749*n**3*x**2*y + 17*n**3*x + 6*n**2*x**3 - 1716993*x**3*y + 19*x**2*y wrt x.\nAnswer: 30*n**3 + 36*n**2 - 10301958*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5394?\nAnswer: 2, 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17258*j**2 - 347*j + 12192067 wrt j.\nAnswer: -34516*j - 347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*x - 11 = -0*u, -4*x + 7 = 3*u. Suppose -373 - 62 = -u*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63011873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -36871871 and 2?\nAnswer: 36871873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*h - 34. Let z be (14 + h)*(-34)\/(-3). Let f = z - -54. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(-5*n + 0*n + 3*n) - 1135*n + 180*n + 119*n.\nAnswer: -832*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 0.07, -526, -2\/13, -1\/4, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 3*x. Let n be g(2). Let l(b) be the first derivative of 32*b**3\/3 - b**2\/2 - 3*b + 920. List the prime factors of l(n).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w**2 - 8*w - 30. What is the hundreds digit of n(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -269 or -65109?\nAnswer: -65109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -22.8. Which is the third smallest value? (a) p (b) -0.1 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (744\/32)\/(((-3060)\/(-96))\/85).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044353 to the power of 1\/2, to the nearest integer?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 4*t**2 - t + 6. Let l(z) = -3*z**3 - 9*z**2 + 2*z - 13. Let b = -1499 - -1512. What is b*n(u) + 6*l(u)?\nAnswer: -5*u**3 - 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 0*h. Suppose h = -2*y - 0 + 4. Let a be y\/2 - 1*-35. What is the greatest common divisor of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29, 30, 23, 2, -39, -106, -205?\n\"Answer: -x**3 + 2*x**2 + 2*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d + 165 = t, 0 = 5*t - 4313*d + 4310*d + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 36, 197, 0.\nAnswer: -2, -1, 0, 36, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 12) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 744 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -183*o - 3158. Give f(-17).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1120061, -1120062, -1120063, -1120064, -1120065, -1120066?\n\"Answer: -f - 1120060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*l = -432*l - 4288 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 2*d, -8*m - d + 8 = -5*m. Find the second derivative of 21 + 2*k - 4*k - 32*k**2 + 15*k**m - 50*k**2 + 14*k**2 wrt k.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120048880 to the nearest integer?\nAnswer: 10957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -14*i + 1218. Let n be x(87). Solve -3*z + 4 = -y - 9, n = -5*y - z + 15 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 10*o**5 + 14*o**4 - 6*o**3 + 6*o**2 - 6*o. Let t(m) = -m**5 - m**4 + m**3 - m**2 + m. Let h(y) = r(y) + 6*t(y). Solve h(i) = 0 for i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1106, 1164, 1242, 1334, 1434, 1536, 1634, 1722?\nAnswer: 1794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 18*o - 16. Let b be a(-19). Suppose -v = b*v - 56. What is the greatest common divisor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 210\/(-36) - ((-25)\/5 - 1). Which is the third biggest value? (a) -15\/7 (b) 5\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 499, 4332, 14657, 34720, 67767, 117044, 185797, 277272?\nAnswer: 394715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f - 85*f**2 + 70*f**2 + 13 + 8*f. Let p(g) be the first derivative of -7*g**3\/3 + 3*g**2\/2 + 6*g - 3. Give -13*p(x) + 6*v(x).\nAnswer: x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 629.38 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -108*l**2 - 24*l - 7. Let t(v) = -21*v**2 - 3*v. Let x(k) = -f(k) + 5*t(k). Let r(g) = 2*g**2 + 5*g + 4. Give -5*r(p) + 3*x(p).\nAnswer: -p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301640?\nAnswer: 2, 5, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158 and 905893?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 6*n + 0*n**3 + 3 + 0*n**2 - 1\/3*n**4. Let i(p) = -9*p. What is i(v(c))?\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (195\/(-25) - -8) + (-237)\/(-15). Suppose u*j - 2404 - 396 = 0. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1005, 2005, 2991, 3957, 4897?\n\"Answer: -u**3 - u**2 + 1010*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d, -3*c = -0*c + d - 20. Let s be (-27)\/18*((-8)\/c)\/1. Suppose -s*m + m = 5*f - 652, 0 = -2*f + 5*m + 277. What are the prime factors of f?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**6 - 26070050*p**5 + 193179087*p**2 wrt p?\nAnswer: -240*p**3 - 1564203000*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, e: 1}. What is prob of picking 1 e and 1 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+14544771\nAnswer: 14544771.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -4 + 8 - (-56 + 26 + 57)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*n + 10370 + 94648 = 1989*n for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r - 242. Let t(g) be the third derivative of 7*g**4\/24 - 4843*g**2 - 2*g. What is t(m(n))?\nAnswer: -14*n - 1694","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249642 = -10*f - 249902 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*i**4 + 4 - 3*i**2 - 7*i**2 to q*i**3 + v*i + l*i**4 + c*i**2 + s and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13067543*b + 25405349 wrt b?\nAnswer: -13067543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18040?\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 11*k - 3. Let h(b) = 1. Give 6*h(r) + 2*t(r).\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56328, 112616, 168866, 225084, 281276, 337448, 393606?\nAnswer: 449756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5\/2 - 31475*n**4 + 94422*n**3 - 94421*n**2 + 62947*n\/2 = 0.\nAnswer: 0, 1, 62947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -23. Let j(p) = -2*p + 1. Determine j(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 3*y**2 + 8*y + 54. What is r(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8 - 915*h**3 + 2*h**2 - 3*h - 1370*h**3 - h**2. Let k be w(-8). Round k to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1619.089 - -1619. Let o = 0.451 + -0.8. Let n = o - t. Which is the biggest value? (a) -0.4 (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.3 - -2.3. What is the closest to u in -2\/15, 5, 2\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66841.1 + -66840. Let a = -0.6 - -1. Let u = 0.1 - a. Is u at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151565678 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: Let k(x) be the first derivative of -17*x**7\/7 - 25*x**6\/6 + 1546*x**3\/3 - 253. Find the third derivative of k(d) wrt d.\nAnswer: -2040*d**3 - 1500*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, e: 2, w: 5}. What is prob of picking 1 w and 1 h?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1468 by -5.\nAnswer: -1468\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neenbmnnpenebbx. What is prob of sequence xb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 15 = -5. Put -5, a, 0 in descending order.\nAnswer: 0, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2169\/11 + -197. Let u = 6.5 - 6.559. Let t = u - -0.029. Which is bigger: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/24 and 5\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19222 = -4*m + 2*h, -m - 4*h - 214 + 5024 = 0. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 3 = -k. Is (9\/k)\/3 + 16 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 2. Let g be w(3). Let k(s) = 4*s**2 + 4*s - 3. Let r(i) = 7*i**2 + 7*i - 5. Let x(p) = -5*k(p) + 3*r(p). What is x(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(2\/75)*w))**24\/(w*w**9*w*w\/w**(-2\/13)) assuming w is positive.\nAnswer: w**(-4158\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 68*i + 1247. Give v(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5187308010 to the power of 1\/3, to the nearest integer?\nAnswer: 1731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 16793, 132 in ascending order.\nAnswer: 4, 132, 16793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -55. Suppose 0 = -5*u + 4*v + 963, 5*v - 703 = -4*u + f. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35795*z + 78*z**2 + 35795*z + (1 + 1 + 0)*(6 - 6 - 4*z**2).\nAnswer: 70*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -453.6 + 454. Let r = 56 + -109\/2. What is the third smallest value in -5, 3, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140*y**2 - 167*y - 2?\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17050733.5 rounded to the nearest 1000?\nAnswer: -17051000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 l, and 1 s when four letters picked without replacement from {o: 1, l: 10, s: 1, x: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -953.41 + 62.41. What is the second biggest value in 0.2, g, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10110200 + 12120011021?\nAnswer: 12200121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -1.4, 1, -3\/316.\nAnswer: -1.4, -1, -3\/316, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2163 + -2162. What is the nearest to -2\/5 in w, 2\/15, -4, 0.2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 4.188\nAnswer: -4.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(7 - 7 - 3*m)*(1 - 1 + 4)*(3 - 4 + 0)*(4 - 1 - 2).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/113, -10, -7, 0.1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2122 + 232?\nAnswer: 2354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-508)\/(-24) - 2\/12. Is 2\/((-2)\/u)*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9475497 rounded to 4 decimal places?\nAnswer: -1.9475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 65*d + 479. Determine j(-13).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 + 360. Let x(z) = -1. Determine j(t) + 4*x(t).\nAnswer: 2*t**3 + 356","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -5.4. Let n = -9.7 + t. Let d be (-1)\/((-21)\/30) - 1. Which is the closest to n? (a) -1\/5 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*v + 4947 = -380*v for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-119) - (-13323132)\/102 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - i + 24 = 0, 1538*s - 1543*s + 2*i - 48 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 + -112. Is p\/((-1 - -4) + (-129)\/42) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -681 - 3*x - 2*x**2 + 342 + 337 - 25*x**3. Determine b(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -9*q + 33. Solve 4*u - f + q*f = 9, 4*u + 5*f + 21 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1573\/4 - 393. Which is the closest to -0.2? (a) 5 (b) -4 (c) h (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a decade in months?\nAnswer: 2220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/9 - (-4)\/6. Let p = 7 + -37\/5. Let r = -0.01 + 0.41. What is the nearest to p in y, r, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - 41 - (3 + (16 - 0))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s + 37*s - 14*s - 11*s - 11*s - 6*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2577745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.39 + 0.69. Let k = 5 + x. What is the third biggest value in 2, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*b + 278 = 0, 2*k - 107 = -4*b + 41. Suppose k + 2 = -5*w. Let d be w\/84 - 25\/(-6). Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -216.41 - -247.471. Let i = -0.061 + h. Let g = i + -30.9999966. Round g to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151312 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h + 5. Let o(n) = 7*n - 4*n + 4 + 2. Let k(q) = -3*o(q) + 4*v(q). Let r be k(3). Sort -5, -2, r.\nAnswer: -5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**3*w**3 + 632*d**3 + 3*d**2 + d + 66067*w**3 wrt w.\nAnswer: -9*d**3*w**2 + 198201*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Let p(q) = 18*q - 3*q - 4 - 31*q + 1. Determine b(p(k)).\nAnswer: -32*k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*j - 48*j = 75. Let h = -17 - j. Suppose -h*y + 441 = y. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/18*1)\/1. Let z be (-1)\/2 - (-11)\/2. Let i = -6.4 + 6. What is the closest to 2\/5 in i, c, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2580122\/11 - -234930. Is j bigger than 373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-11)*a**(18\/7)*a**(-3\/16)\/a**9 assuming a is positive.\nAnswer: a**(-1973\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -531, -1262, -1993, -2724?\nAnswer: -3455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 < 407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(2299) - sqrt(1216)*4)*6.\nAnswer: 138*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2349 - 2349.07. Which is the closest to -2\/5? (a) -1\/68 (b) m (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b - 12 = 0. Let o = -3 - b. Let h = o + 10. Calculate the greatest common factor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t + 2129 - 12080 = 27*t + 26*t for t.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.091, 0.5, -0.458, -4\/3, -7 in ascending order.\nAnswer: -7, -4\/3, -0.458, -0.091, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, b: 1, y: 2, w: 3, c: 4, l: 1}. Give prob of sequence qyb.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 12 = -0*t. Suppose 3*s - c = -22, -t*s + 4 = -5*s - 2*c. Is -6 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -4. Let g(b) = -b**2 - 5*b + 3. Let h be g(-5). Calculate the lowest common multiple of ((-30)\/(-4))\/(h\/4) and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3 = 75. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 8:40 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from {p: 1, k: 1, d: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144108107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-84 - -120) - -74.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*h**3*q**2*s**3 + 6*h**3*q**2*s**2 + h**3*q - 2*h**2*q*s**3 + h**2*q*s - 12*q*s**3 wrt q?\nAnswer: -194*h**3*s**3 + 12*h**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*u + m - 13 = 145*u, -m = 4*u + 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3075299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 138 + -128 - (-31 - (-12 + 4))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012306 to the power of 1\/2, to the nearest integer?\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -56*q + 50*q - 19, j - 8 = -5*q. Solve j*p + 204 = 204 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a factor of 902654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, 5, -0.5, 4, -2, -34\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 2 - ((-66 - -45) + -36)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2393733147 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:52 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 21 = 2*t + 2*t, -5*t + 4*w + 25 = 0. Calculate the remainder when 49 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/1440 and 37\/12.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-216579)\/(-341276))\/(22\/8)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 1181, 4082, 9751, 19112, 33089, 52606, 78587?\nAnswer: 111956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -128048 > -128051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, 1, -173, -6, 149 in ascending order.\nAnswer: -173, -6, 6\/7, 1, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*g - 190*g - 852 - 583 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + ((-12)\/(-18) - 2021\/12). Let z = g + 164. Find the common denominator of z and -31\/19.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 287 from 30173219.\nAnswer: 30172932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/11 (b) 5 (c) -0.5 (d) 5.71 (e) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1780*p**2*u**2 + 1340*p*u**2 wrt p?\nAnswer: -3560*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrttarrtstiiirr. What is prob of picking 4 r?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**4 + 3990*q**3 + 1126000*q**2 - 3990*q - 1125995 = 0. What is q?\nAnswer: -221, -1, 1, 1019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100 (base 2) in base 9?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 9:17 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -427, -1674, -3709, -6514, -10071, -14362?\n\"Answer: 3*o**3 - 412*o**2 - 32*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-797)\/(((-24)\/6)\/(-4) - 2). Let n = -175 + i. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1504\/(-2) + (7 - 9\/18*20). Which is greater: y or -757?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (2 + 0)) + -3. Let j(h) = h**2 - 2*h - 2. What is the remainder when 38 is divided by j(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqrqqyrqryryqqqyq. What is prob of picking 2 r and 2 q?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4534 + -4552 - (-1 - (-2 + 15)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14404725 and 89309295?\nAnswer: 446546475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/(r*(r\/((r**(-22\/9)*r)\/r))\/r)*r*r)*r))**(-2\/3)*r**25\/((r\/r**19)\/r*r))**(2\/7) assuming r is positive.\nAnswer: r**(2374\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -77150011.\nAnswer: 5\/77150011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 19554.\nAnswer: 58662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*f - 151 = -138*f - 1463 - 284 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.2, -4\/17, 0.5?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*g + 53*g + 344*g = 8322. What is the remainder when (-1)\/3 + 112\/3 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - (-1 + 0 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 7*c + 60 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 83*b + 11. Let t(o) = 41*o + 5. Let s(a) = 6*d(a) - 13*t(a). Let u be s(1). Let g = 41 + u. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*j + 45 - 34 = 791 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-8 + 2 + 7). Suppose 3*y + y = 0. Solve -f - f - o = y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**4 + t**4 + 2*t**4 + (-4*t - 3*t + 5*t)*(2*t**3 - 2*t**3 - 2*t**3) + t**4 + 4*t**2 - 4*t**2 + (-4*t + t + 2*t)*(-429*t**3 - 270*t**3 + 889*t**3).\nAnswer: -187*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/22448 + 135583\/20090960. Let l be (-12)\/(-80)*340148\/1074. Let c = l - p. What is the common denominator of -61\/18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -3, 2, 1\/329?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + -3*(1 + sqrt(200)) + -4)**2.\nAnswer: 240*sqrt(2) + 1816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 30 = -2*v. Calculate the highest common divisor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 + (-1090)\/(-8). Suppose -5*m + 331 = 3*a, -14*m = a - 11*m - 117. What is the greatest common divisor of o and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*k + 6*k - 4816. Determine m so that 5*m**2 - m**5 - k*m**4 + 175*m**4 - 4*m**2 - 3*m**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) -23\/2 (c) -1\/8 (d) -1333\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5) + (0 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 5:15 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 1:38 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**7\/14 + j**4\/4 + 3*j. What is the third derivative of u(y) wrt y?\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -78*b - 1. Let m(q) = -q**3 - q**2 + 3*q. Let i be m(2). Is d(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 1:36 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (47 - 155 - 404)*(10*c + 18*c - 21*c) - c + c + c + (c + 0 + 0)*(4 - 4 + 1) as n*c + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, 0.4, -0.27, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 3\/3) + 28. Let y = -9 + w. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q**(2\/3))*q)\/q)\/q)**(3\/10)\/(q**(1\/4)*q**(-3)*q) assuming q is positive.\nAnswer: q**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 726564803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -2)*(3 + -26). Let g = 135 - v. Suppose 0 = 3*k - 2*a - g, 0 = -k + 3*k - 4*a - 46. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 128\/(-1344) + (118612\/42 - -1). Find the common denominator of ((-2)\/(-4))\/(l\/(-1025)) and -119\/18.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 19*g + 17*g + 12*g - 49*g. Let v(q) = 1074*q. Give m(v(i)).\nAnswer: -1074*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600 = -u + 76*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 8:09 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 7. Let b = k - 6.2. Let h = 1.20017 + b. What is h rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -10*c - 5. Let h(x) = -5*x - 2. Let s(f) = -5*h(f) + 2*l(f). Let j(r) = -4*r. Suppose -3*w - 22 = 11. Let m = -16 - w. Determine m*s(y) - 6*j(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25073642 + -1?\nAnswer: -25073643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 + h**2 + 3*h - 2. Let m(u) = -3*u**3 - u**2 - 5*u + 3. Let b be (-3)\/(-4) - 69\/12. Determine b*f(z) - 3*m(z).\nAnswer: -z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9626175 at least 9626178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 3*z + z - 2*z - 14, 0 = 5*j + 6*z - 22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**3 + 12160*k**2 + 8*k + 1712?\nAnswer: -6*k + 24320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*u - y, 4*y - 5 = -7*u + 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -419123271.1686?\nAnswer: 419123272.1686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + (2*sqrt(7)*4 + sqrt(7) + 5)**2)*-1.\nAnswer: -592 - 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*9\/24 - 2. What is the second biggest value in -0.3, -0.1, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 >= 255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f**3 + 2*f**2 + 2*f + 1. Let l = 33 + -18. Suppose 3*c - l = -2*c. Suppose 5*q + c + 2 = 0. What is j(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -87, -202, -333, -480, -643?\n\"Answer: -8*c**2 - 91*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 154\/12 - (-8)\/48. Solve -4*o - u = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 - 3*u + 3. Let a(j) = 2*j**2 + j - 1. Suppose -3*f = 3*v - 3, 3*v - 23 = -0*v + 2*f. Let h(x) = v*a(x) + 3*b(x). Factor h(k).\nAnswer: (k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + 0)\/10*0. Suppose -u + 3*n + 15 = g, -u + 6*n = 4*n - 10. Solve -2*m + 0*m + 10 = u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83022 - -83090. Suppose -q + 40 = -0*q. What is the smallest common multiple of q and g?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 9530*y + 19064.\nAnswer: -(y - 9532)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 a factor of 2176944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeq when three letters picked without replacement from {e: 2, l: 2, q: 10, f: 6}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1524 and -277329.\nAnswer: -422649396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1314 - 0.074. Let v = j - 0.057. Round v to five dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (9 - (-3 - -7)) - (-15 - -3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0597 - 0.1797. Let o = 62.88 - 66. Let d = o - z. Which is the closest to 0.1? (a) 2\/13 (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/10511 and 95\/914?\nAnswer: 21022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 7:26 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319 = 5*c + 359 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 79. Let m be 79\/(-4) - (51\/12)\/17. Let h = m - o. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**4\/6 + 2*m**3\/3 - 3*m**2\/2 + m. Let f = 8020 + -8017. Determine r(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/(-217)*-28*(0 - 5\/(-25)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -890*k - 15404 = 4176 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 292 (b) -2.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36866583, 36866578, 36866571, 36866562, 36866551, 36866538?\nAnswer: 36866523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + 63*n + 180. Determine q(33).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 459989, 919956, 1379923, 1839890?\n\"Answer: 459967*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -59, -5, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y*(y\/(y*y**(1\/4)*y))\/y)\/y)**(-1\/19)*y**(-7)*y**(-5\/3) assuming y is positive.\nAnswer: y**(-1973\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.7447 and 0.6?\nAnswer: 0.1447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -134935*-4378\nAnswer: 590745430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2838, -5033, -6586, -7497, -7766, -7393?\nAnswer: -6378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a2 (base 11) in base 10?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2424638 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 826.2?\nAnswer: 830.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109456979?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1872) + 0)*5.\nAnswer: 5 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c + 25. Let t(f) = 2*f**2. Let x = -361 - -356. Let v(z) = z**2. Let n(b) = x*v(b) + 2*t(b). What is n(y(w))?\nAnswer: -64*w**2 - 400*w - 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 3*p = 16. Suppose m - p*m = 0. Suppose 5*w - 6*w + 20 = m. Calculate the greatest common divisor of 220 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 549729457059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220 is divided by 306?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**2. Let n(g) = -2*g**2 - 46151. Calculate n(j(m)).\nAnswer: -98*m**4 - 46151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/57)*z)\/z)**(1\/5)\/(z**(8\/7)*z\/z**22*z))**29 assuming z is positive.\nAnswer: z**(1090777\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -11013 to the nearest 100.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 13) in base 5?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 65*d + 416. Give a(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 6*v**2 - 66*v - 376. Give b(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*s + 26, 4*s - 5*b = 10 + 7. Solve 6*x = 2*x + s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91561469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 - 2*v**3 + 2*v**3)*(0 + 0 - v**2) + (v**5 + v**5 - 6*v**5)*(-3 + 3 - 3).\nAnswer: 16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 + 5456*c**3 - 9810125*c**2 + 5825218750*c.\nAnswer: -c*(c - 2206)*(c - 1625)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 434.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112\/(-14) + 20054\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -243 (c) 2\/529 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60561 + -726263\/12. Let i = 39 - z. Let p = -17\/84 + i. Is p at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 = -2. Let c be 0\/(-3) - -1 - o. What is the second derivative of 3*b + b**c + b**3 - b wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 - 8*u**3.\nAnswer: u**3*(u - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 5. Let c be v(-8). Suppose 351 = c*j + 2*t, -3*j + 100 + 242 = -t. Calculate the greatest common factor of 46 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/8 + 7*r\/8 - 3\/4.\nAnswer: -(r - 2)*(r - 1)*(r + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693122.\nAnswer: 2, 346561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1846, -4170, -6966, -10240, -13998, -18246, -22990?\nAnswer: -28236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 t when four letters picked without replacement from {g: 9, t: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2573.5 millilitres to litres.\nAnswer: 2.5735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2 + 2293046*z + 6879156 = 0 for z.\nAnswer: -3, 1146526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63.695871 or -2\/7?\nAnswer: -63.695871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19109930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 5*y**2 - 5*y + 2. Let a be u(-4). Suppose i - 2*g - 90 = a*i, -g + 36 = -2*i. Let j = 38 + i. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 8832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5358, -4\/9, -5\/33 in descending order.\nAnswer: 5358, -5\/33, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985745115.\nAnswer: 3, 5, 43, 509429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69596 = 2923*w - 3479 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 87209?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**5 + 6390*d**4 - 8605*d**3 - 2818410*d**2 + 10487300*d + 32077320 = 0.\nAnswer: -1279, -22, -2, 6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -2, 58.3, -104, -1\/2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2027480 rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - l**2 + 1. Suppose 2*k - 5 = 4*k - 5*h, 4*k = 3*h - 17. Let o(b) = 9*b**3 - 4*b**2 - 3*b + 5. Give k*z(n) + o(n).\nAnswer: 4*n**3 + n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2267 and 1.\nAnswer: 0.2267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.21, 9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -11.2733 and 0.8.\nAnswer: -10.4733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (-208)\/1560 - (2*12047\/(-30) - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243 and 514152.\nAnswer: 13882104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 992409 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - -7 - (33 + -42)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i**3 - 481*i**2 - 186*i + 1979. What is p(69)?\nAnswer: -1333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4620*f + 11. Let u(a) = 3*a**2. What is t(u(g))?\nAnswer: 13860*g**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -270083 - -270214.877. Let q = z + 1.323. Let m = q - 133. Which is the fourth smallest value? (a) m (b) 1 (c) -0.02 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 26*u. Let d(k) = -3*k. Determine y(d(f)).\nAnswer: 9*f**2 + 78*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111756850?\nAnswer: 2, 5, 2235137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 3. Let m be a(4). Let q be 8\/(-36) + (-11)\/(-9). Solve -q + m = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1530 + 5?\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 - 19252\/(-6). Let p = -1878 + m. Suppose 3*d - 5*h = p, 1796 = 8*d - 4*d + 4*h. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5580)\/(-24))\/(-93) + (171\/(-6))\/(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 58 - 5*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*p = 19 + 15, 0 = -4*d + 4*p - 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 19 + 37 + i**2 - 76 + 13*i. Calculate x(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 998 and 1625742?\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/5 + 2262*f + 2131935.\nAnswer: 3*(f + 1885)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 - 1. Let w(n) = 36*n**2 - n + 6. Determine w(q) + 5*x(q).\nAnswer: 26*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8 - (-42 + 7 + 21).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 602 + -1?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/12 + 114\/(-8). Let h(l) = l**2 + 12*l - 23. Let r be h(a). Find the second derivative of 200*i**r + 4*i + 0*i - 203*i**5 wrt i.\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 15 = -5*s, -3 = 3*s + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v*z**2 + 13*v*z + 418*v wrt z?\nAnswer: 2*v*z + 13*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, s: 16}. What is prob of sequence sess?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/1*19053\/87?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011100 + 10110010111?\nAnswer: 11011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*m = 95, 0 = -t - 3*m + 1 - 2. Let r(s) = 3*s + 2. Let h = 0 - -4. Let d be r(h). Is d != t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 10:10 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -33. Suppose -5*r + 1 + u = 0. Solve -r*i + 5 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*v - 447 + 433 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 u when four letters picked without replacement from ttutttuututtuttt?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 5. Let h = -419 - -445. Let m = -1 - 29. Let c = h + m. Give x(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/1*3\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 4518.7 and -83152.\nAnswer: -78633.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-28))\/((-8)\/(-56)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -682\nAnswer: -545.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -8, -3, -3177, 1 in descending order.\nAnswer: 1, -3, -8, -65, -3177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.377 - 0.317. Suppose 0 = 4*i - z - 93, 4*z + 33 = 2*i - 31. Is t at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844.8ml in litres?\nAnswer: 0.8448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d**3 + 31*d**2 - 72*d - 307. Calculate s(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -542.4052 to the nearest ten.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from tltllllbblttlttttlt.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 298 and 2?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k**6)\/k)\/(k\/(k\/(((k**(-7)*k)\/k)\/k*k))))**(9\/2) assuming k is positive.\nAnswer: k**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(2\/31))\/m)\/(m**4*m))**(-2\/11) assuming m is positive.\nAnswer: m**(306\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14378 by -1027.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 1:41 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7022.9993 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1331) + 0 + sqrt(1331))*6 + (2 + 1 + sqrt(1331) + sqrt(1331) - 2*(sqrt(1331)*-1 - sqrt(1331))))**2.\nAnswer: 1584*sqrt(11) + 766665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-498)\/(-4316)*(-2)\/15.\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {a: 3, f: 1, g: 13, x: 2}.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w. Let x(l) = -l - 3. Let f be x(-8). Suppose 0 = -f*b + q + 8, 0 = q + 2*q - 6. Let a(z) = -5*z**b + 2 - 2. Determine a(j(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(sqrt(15)\/sqrt(27))**2 + (sqrt(5)*4 + 5 - sqrt(500)) + 3.\nAnswer: -6*sqrt(5) + 34\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325364 is divided by 268.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19948 or 19946?\nAnswer: 19948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m - 2094 - 2491 = 0. Find the third derivative of 7*s**3 - 1781 - s**2 + 1705 + m*s**3 wrt s.\nAnswer: 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**4 - 8*m**3 + 28*m**2 + 80*m + 48 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k - 212677*k**2 + 0*k + 212679*k**2 + 1776.\nAnswer: 2*k**2 - 8*k + 1776","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooaoooooooooooaoooo. What is prob of sequence ao?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfz when three letters picked without replacement from {x: 1, f: 2, b: 9, v: 2, r: 3, z: 1}?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -636.8 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 9*a**2 + 8*a - 2. Let m be w(-8). Calculate the remainder when 14 is divided by 1\/((-1)\/(-4 - 0\/m)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1395 + 2785335.\nAnswer: 2783940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 4013?\nAnswer: -4020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56 - 4af73?\nAnswer: -4af1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -1\/3 (b) -0.3 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5835 - 893 - 533 = -529*k + 3319 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*k - 2 = 0, 3*m + k - 3 - 1 = 0. Let o(z) = 2*z**2 + 0*z**2 - z**m. Let f(j) = -2*j**2. What is f(o(b))?\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, 258, -2, -1, -4, 1 in decreasing order.\nAnswer: 258, 8, 5, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42 + -280bb?\nAnswer: -28079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/30*150\/(-1). Suppose -w = -6*w + 5*q + i, 5*w - 90 = -q. Suppose -5*z - w = -2*g - 6*z, -4*z = 20. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5529, 22419, 50593, 90099, 140985?\nAnswer: 203299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, c: 1, g: 1, j: 1}. What is prob of sequence hj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 4*d**2 - 4*d - 4. Let f be j(-4). Suppose -2*a + 555 = -3*h, 0*h + 15 = -3*h. Let i = 280 - a. Which is smaller: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-1 - -1) + (-47 - (-44 + -3))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26748923 is divided by 123.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -24, -33, -38?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390441 is divided by 107?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 10*t**2 - 10*t + 3. Let x be r(11). Let b be 2\/4 - (-1)\/2. Suppose 4*s = b + 55. Calculate the greatest common divisor of s and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 10*y**2 - 11*y. Let j(f) = -f**2 + f. Let c(n) = -n - 29. Let x be c(-27). What is x*t(w) - 22*j(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 34, 0, 2 in decreasing order.\nAnswer: 34, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 15, v: 2, h: 3}. Give prob of sequence phpv.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*g*n - 4*g + n**3 - 7*n + 21 with respect to n.\nAnswer: -39*g + 3*n**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -85, 3, 22, 2\/5?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1007 - -15107\/15. Factor 2\/15*j - l*j**2 + 0.\nAnswer: -2*j*(j - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) + 2 + sqrt(7) - sqrt(7)) + -4.\nAnswer: -8 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/(-8400))\/(20\/24).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from yqqwywqqwyqqwwnwyyy.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -1 - 1\/(-2). Let l(r) = -2*r**2 + 2*r + 2. Let c be l(2). Let f be (-36)\/15 + c\/(-5). Are k and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -70, -116, -148, -160, -146, -100?\n\"Answer: n**3 + n**2 - 56*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6*3\/54 + 146\/360 and (1215\/(-40))\/(15\/(-10))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -387*f**3 - 348*f + 710*f - 352*f wrt f.\nAnswer: -2322*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 9*r**2 - r + 107. Let h be m(-6). Let u(b) be the third derivative of -9*b**2 + 0*b + 0*b**4 + 1\/10*b**3 - 1\/100*b**h + 0. Factor u(i).\nAnswer: -3*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39048 + 78099\/2. Suppose 3\/4*h + 3\/4*h**2 - a = 0. Calculate h.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173 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 1003, 1904, 2855, 3880, 5003, 6248, 7639, 9200?\n\"Answer: 4*k**3 + k**2 + 870*k + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(4\/9))**(-4)*r**(-2\/35)*r*r**(-4\/3) assuming r is positive.\nAnswer: r**(-1943\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.214 + -441397116.\nAnswer: -441397116.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t. Let b(f) = -f + 1. Determine -6*b(x) - 2*v(x).\nAnswer: -12*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -636.23+0.2\nAnswer: -636.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*u - 1125 + 495 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-3 - ((8 - 6) + -3)) - -19?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1988530 and 36540.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 330100222?\nAnswer: 330100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51\/7 in -3, 0.09, 31387?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 472*v**3 + 3*v**2 - 106*v + 293. Is 59 a factor of s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2006004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 37, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) -33 (c) -0.9 (d) 6 (e) -3\/44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2060 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/4914)\/(72\/(-126))*(-4)\/3?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/56)\/q**48 assuming q is positive.\nAnswer: q**(-2687\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7130938 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 382 and 4.\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1215461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1658 and -97\/9948.\nAnswer: 9948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312146 is divided by 637?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + 2)*-1 - (sqrt(189) + sqrt(189)*-1 + sqrt(189) - sqrt(189))\/sqrt(7))**2.\nAnswer: 12*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, j: 2, m: 1, p: 2, z: 1}. Give prob of picking 1 h and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 2\/627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-26))\/((-84282)\/107268)\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**3 + 3*b**2 + 7*b + 2. Let q = 13 - 15. Is t(q) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -1. Suppose -2*v + q*v = 6. Solve -v = 3*m - 0*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -124*z + 64. What are the prime factors of w(-4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 a, and 1 x when four letters picked without replacement from {x: 8, a: 1, i: 6}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 221.52 rounded to 0 decimal places?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078220 to the power of 1\/2, to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -53337, -53400, -53501, -53640?\n\"Answer: -19*j**2 - 6*j - 53312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 171281 and 217667009.\nAnswer: 2394337099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3*d - 0*d + 69, 5*z + 2*d - 88 = 0. Calculate the highest common divisor of 27 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 7*l**5\/5 - l**3\/3 + l**2\/2 + 2*l. Let j(p) = p**3 + 4*p**2 - p - 3. Let a be j(-4). Does 10 divide v(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)*p\/(p\/p**(-7)))**30 assuming p is positive.\nAnswer: p**(-300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*n - 474 = 0. Let m = -1183\/15 - n. Let x = -93 - -463\/5. Put x, m, 3 in increasing order.\nAnswer: x, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26552783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -16, -8, -5, 2 in increasing order.\nAnswer: -21, -16, -8, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 82 - 1 - 0\/14. Is 9 a factor of (-1 + (-101)\/2)\/(q\/(-162))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = n - 18, 0*r + 10 = -n + 3*r. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000714 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*l - 4*l + 18 = 0, 15 = -5*l. What is the lowest common multiple of 10 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1656 = 278*i - 255*i. Let y(b) = b**3 - b**2 + 7*b - 6. Let r be y(5). Suppose -i*p = -75*p + r. What are the prime factors of p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1744*w**2 + 4*w - 3. Let b be (26\/104)\/(1\/4). Is i(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205\/9 smaller than 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3699614761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 5.4. Sort -5, 1, v.\nAnswer: -5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 4, 2\/9, -0.1, 843?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 1, v: 3, c: 2}. What is prob of picking 1 t and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -218 + 456. Suppose 0 = i*t - 239*t + 729. Is t a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u**2 - u + 38*u**2 - 30*u**2 + 7)*(-9*u**3 + 8*u**2 - 8*u**2).\nAnswer: -153*u**5 + 9*u**4 - 63*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 6*h + 17*h + 10*h - 5*h**3 + 1 - 2*h**2 + h**2 in the form y*h + b + f*h**3 + w*h**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2602962 and 99?\nAnswer: 28632582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2517*f*l**2 - 383*f*l + 11*f + 479*l**2 - 25*l + 3 wrt l?\nAnswer: 5034*f + 958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1084058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*b = 3, b = -2*v + 6*v - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 2*u + 333. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 8*v**2 - 3*v**3 + 2*v**3.\nAnswer: -v**3 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7959 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 + 7*y + 4. Let x be h(4). Let v(b) = -b**3 - b**2 + 2*b - 103. Let z be v(x). Let g = -63 - z. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(352) + sqrt(352) + sqrt(352)*4))\/(sqrt(275) - ((sqrt(275) - ((sqrt(275) - sqrt(275)*-2) + sqrt(275))) + sqrt(275) + sqrt(275)))*-5)**2.\nAnswer: 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -52*d + 3. Let s(g) = 935*g - 55. Calculate 55*j(h) + 3*s(h).\nAnswer: -55*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 551712?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7960591 is divided by 929.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-1)\/4*1*9*(-6)\/2349?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 228? (a) 5 (b) 2286 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3316 is divided by 302?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 6*p**2 + 6*p + 7. Let o be g(-5). Suppose 4*b - x - x = 210, -262 = -5*b + o*x. Calculate the greatest common factor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 189 = -0*d. Suppose 0 = -11*g - 35 + 123. Let i be 3\/42*g - (-6)\/d. Which is smaller: i or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21507.87 + 21638. Let u = x + -130. Which is the second smallest value? (a) 3\/7 (b) 1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -177\/4. Factor p*b**5 + 0 + 0*b - 1\/4*b**3 + 1\/4*b**4 - 1\/4*b**2.\nAnswer: b**2*(b - 1)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571*o + 195*o - 4136 = 0 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/17, 45.3, 0.5, 1\/5, -25, 1, 51?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5200244708 to the power of 1\/2, to the nearest integer?\nAnswer: 72113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.7718, 0.5, -5, 4, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 207250 - -222.569294\nAnswer: 207472.569294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (sqrt(136) - 2*sqrt(136)))*5 - ((sqrt(136) + -4*1*sqrt(136) + sqrt(136) - sqrt(136)) + sqrt(136)))\/(sqrt(968)*1 + sqrt(128)*2).\nAnswer: 12*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*b + 175*b - 88 = 42 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 110707\/9 + ((-86)\/18 - -5). Let d be -1*6*(-2567)\/(-2). Let i = z + d. What is i rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from ffxf?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -32043 (base 10) to base 2\nAnswer: -111110100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 5, -5.\nAnswer: -5, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**5\/6 + 25*k**4\/6 - 20*k**3\/3 + 10*k**2\/3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.12 and -566 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1014873*b*v + 10553605*b + v**3 wrt v?\nAnswer: -1014873*b + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, -1, 19 in ascending order.\nAnswer: -7, -1, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -9*a - 194. Let c be o(-24). Calculate the greatest common divisor of 33 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**2 + 1\/4*z**3 - 17\/2 - 67\/4*z.\nAnswer: (z - 34)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*c + i + 98, 3*i + 139 = 4*c. Let r = c + -18. Suppose -5*o = 20, -w + 2*o + r = -12. What is the remainder when w is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(0*u**5 + 4*u**5 - 3*u**5) + (u**4 - 3*u + 3*u)*(-4*u + 4*u - 3*u)*(2 - 2 + 5) + 2*u**5 + 9*u**5 + 3*u**5.\nAnswer: -3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.061 times 1?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 210122221221 (base 3) to base 12\nAnswer: 186944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 1\/(3*(-3)\/(-9)). Solve -g = d*g - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by (45\/6)\/5*(-144)\/(-27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-21)\/r)\/r)\/r**(-1\/3)*r**(3\/11)\/r**(-1\/9) assuming r is positive.\nAnswer: r**(-2206\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8623 + -0.1377. Which is the smallest value? (a) 0 (b) 1\/5 (c) x (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/85, -4, -3\/7.\nAnswer: -4, -3\/7, -4\/85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 115. Suppose -61*n + 16 = -h*n. Suppose -4*b + 2*b = -4*v + 15756, 4*b - n = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - a8704?\nAnswer: -a8709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5128*m**2 + 2564*m**2 + 2561*m**2 + 4*m + 6.\nAnswer: -3*m**2 + 4*m + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1662.3658 - -1662. Let x = q - 0.0342. What is the closest to x in 0, -0.4, -8, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7392503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1516)\/4758 - (-710 + 667 + 1110\/26).\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 24*f - 22. Determine y(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24780, -24, 5, -4 in descending order.\nAnswer: 24780, 5, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 135*j + 1. Let n be y(1). Suppose -3*q = 16 - n. Let m(i) = 4*i - 6. Calculate the remainder when q is divided by m(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3324564 to the nearest integer?\nAnswer: 1823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 5 = -a + 5*o, 4*o = -3*a + 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -2\/3, -0.4, 576, 4.4 in decreasing order.\nAnswer: 576, 4.4, 0.06, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 1.2391\nAnswer: 1.11519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.142266 and 4.\nAnswer: 0.569064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -103371 and -103353 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 19*g**2 - 15*g + 12. Let b(p) = 6*p**2 - 1. Let w(j) = -3*b(j) + f(j). What is w(11)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/154546 and 139\/5217324.\nAnswer: 433037892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -3398?\nAnswer: 339c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/7*(42\/12)\/1. Solve 2*k - 8 = 2*r, -k + 11 = -2*r - t*k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-4)*1\/(4\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l**3 + 3 - 4*l + l**2 + 0*l**2 + 0*l**3 + 6*l**3. Let k = 15 + -13. Give u(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1718*i**2 + 12*i + 23. Let l(p) = -574*p**2 - 4*p - 7. Give 2*j(n) + 7*l(n).\nAnswer: -582*n**2 - 4*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/40128 and -61\/622782.\nAnswer: 219219264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - f**2 - 1. Let v(c) = -207*c**3 + 161*c**2 + 161. Give -322*k(y) - 2*v(y).\nAnswer: 92*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*d - 1 = -5, 0 = -3*d. Let j be 17\/(-4) + r + 14\/(-8). Let x(l) = l - 1. Give x(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = 0, 3*m = 7*m + 5*l - 19. What is the smallest value in 0, m, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -599, 309 in ascending order.\nAnswer: -599, -1, 4, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 79*u**2 + 246*u + 1023. Determine l(-76).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**3*g*o**2 - 1023*d**3*o**2 - 2*d**2*g*o**2 + 11*d**2 - 2*d*g*o**2 - d*o**2 - g*o**2 wrt d?\nAnswer: -18*g*o**2 - 6138*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2836612428 to the nearest integer?\nAnswer: 53260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1706479 is divided by 853215.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 41*t - 387. Calculate o(-27).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 4*k**2 + 6*k + 3. Calculate w(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z*z*z*z**(-3\/4)*z**(-3)*z**(-2\/7)\/z)\/(((z\/z**(-2\/23))\/z)\/(z*z\/z**(-5))*z*z\/(z*z**(3\/7))*z*(z\/z**(-2\/7))\/z*z) assuming z is positive.\nAnswer: z**(4521\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x - 9. Let l(u) = -3*u - 4. Let d(i) = 5*l(i) - 2*q(i). What is the units digit of d(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 174*c + 300*c - 172*c to the form p + f*c and give f.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91670483 divided by -2.\nAnswer: -91670483\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0023243827 to 6 dps.\nAnswer: -0.002324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**5\/20 - 3*m**4\/4 + 3*m**3\/2 - 3*m**2 - m. Let h be y(8). Suppose -h*s - 3*s + 85 = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 7832.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003340585821 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 161. Suppose 5*a - 3*x + 51 = -97, x = 4*a + r. Let q = a + 29. Solve 0 = -4*h - q*h - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 13*r = -10. What is the nearest to -0.2 in 2, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 78 + 4368*v**3.\nAnswer: 4368*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 78*m - 1090 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/568625, 1, 5.\nAnswer: 2\/568625, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9636483841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1653 (b) 359 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - 2) + 3 + 11.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 6 = -4*l, 8*c = l + 4*c + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22\/145 + -10103\/66555. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 20, 2*p - 5*v + 0*v + 4 = 0. Let t(w) = 4358*w + 45. Is t(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyeyyeyyyyyy. Give prob of sequence eyy.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-384)\/(-18))\/((-12)\/1451250). Round i to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1\/106*180\/(-8280)*-46.\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htta. What is prob of picking 1 t and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - b**2 + 7*b - 8000000. Let p(i) = i**3 - 3*i**2 - 16*i - 12. Let t be p(6). Let u be l(t). Round u to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 131991\/4 or 4\/575?\nAnswer: 131991\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uduududduududduuduud. What is prob of picking 3 u?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*i = 4617 - 11267 + 3470 for i.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(k - 5 + 5) + 2 - 2 - 4*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4058 - -90766. Let z = g + -10324. Round z to the nearest 1000.\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 73, 104, 129, 148, 161, 168, 169?\n\"Answer: -3*j**2 + 40*j + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.7 - -13.7. Let f = 0.05 + -0.45. What is the closest to 0.1 in 0.4, f, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7392 (base 14) to base 9.\nAnswer: -30287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*((sqrt(15)\/sqrt(3) + -4 - sqrt(5)) + sqrt(605) + -2).\nAnswer: -66*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 4*u + 2. Determine p(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + g + g**3)*(0*g - 77*g + 9*g) to s + v*g**4 + w*g + q*g**2 + f*g**3 and give v.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 10*i**2 - 14*i + 22. Calculate n(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 8*h + 9. Let d be o(6). Let y be ((-3)\/(-4))\/(2\/8). Let k be 2\/(-6) + 13\/y. Put 3, k, d in descending order.\nAnswer: k, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -0.5, -23, -14\/11, -1\/5, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058083.\nAnswer: 13, 199, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 88, 1, 5, -3, 39 in decreasing order.\nAnswer: 88, 39, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*f + 145031806 + 3*f**2 - 145031806.\nAnswer: 3*f**2 - 270*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -2*j - 20, 402*n + 41 = 792*n - 392*n - 5*j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by -100\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k**3 - 104*k**2 + 667*k. Let b(y) = -y**3 - 26*y**2 + 167*y. Let r(p) = 9*b(p) - 2*i(p). What is x in r(x) = 0?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -21, 4, 0 in descending order.\nAnswer: 4, 0, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g = -g - 4140. Calculate the highest common factor of g and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186 + 1174. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38625 or -4673638\/121?\nAnswer: -38625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in -4, 3, 129\/4, -5, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 2\/9, -2\/31, -3, 4, -1.\nAnswer: -3, -1, -2\/31, 2\/9, 0.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*c + 4*h - 14, -5*c + 4 = -3*h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 744073 divided by -42.\nAnswer: -744073\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(24)\/sqrt(3)))**2 - (0 + sqrt(26)\/sqrt(2)).\nAnswer: -sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 1. Suppose 4*v = v + m - 13, -4 = 2*m. Let d be u(v). Solve 20 = -q - d*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z - 299 = 0. Let s = z - 209. Is 30 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -30*h + 5. Let r(j) = -j**2. Give r(v(m)).\nAnswer: -900*m**2 + 300*m - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*q - 48*q + 19*q + 23*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 323.8 plus 5?\nAnswer: 328.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1502733 + 1788252387\/1190. Calculate the common denominator of -63\/1360 and g.\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.058 and 29.5903?\nAnswer: 1.7162374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11896 divided by -2974?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1082*p + 509*p + 397*p**2 - 16*p - 802*p**2 + 400*p**2 as u*p**2 + r*p + b and give r.\nAnswer: 1575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 10*j - 7. Let x be p(-11). Suppose -s + x*s + s = 0. Solve s*b**3 - 2*b**3 + 3*b**2 - 5*b**3 + 10*b**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 1548.\nAnswer: 17028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -320844 + 320846. Factor -1\/4*f**j + 21\/4 + 5*f.\nAnswer: -(f - 21)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 1. Let t be (2*2\/10)\/((-1)\/(-15)). What is the third derivative of 6*g**2 + 6*g**t - 8*g**2 - 3*g**q - 2*g**6 wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 7 = 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9532*s**5 + 1928*s**4 + 7051*s**2 - 125*s + 4 wrt s.\nAnswer: -571920*s**2 + 46272*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 + -107. Let f = -2 - -3. What is the nearest to -0.1 in -2, f, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 15*o - 1. Let s be g(-1). Suppose 0*m - 3*m - 30 = 0. Let a = m - s. Solve a + 9 = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8772a5 + 4?\nAnswer: 8772a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1671, 3503, 5615, 8145, 11231?\nAnswer: 15011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/9 - -11\/18. Suppose 2 = -4*h + 2*h. Which is smaller: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 47. What is the smallest common multiple of ((-27)\/63)\/((-1)\/((-903)\/(-3))) and o?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 16*t**7\/105 - 11*t**6\/15 + 9*t**5\/10 - 25*t**4\/48 + t**3\/6 - 42*t**2 - 2*t. What is m in i(m) = 0?\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 11430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 5*u**2 + 4*u + 6. Let f be i(-4). Let y = -236\/9 - f. Which is the nearest to 0.1? (a) 2\/3 (b) y (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -96*i**3 - i**2 + i. Calculate w(1).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/5 - 66*u**2\/5 - 177*u\/5 - 114\/5.\nAnswer: -3*(u + 1)*(u + 2)*(u + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r - 93*r + 38 = -49*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53 and 5141?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 6*q - 6. Let k be p(4). Suppose k*m - 105 = -m. Suppose w + m = 2*w. Solve -w = 3*c - 5*t, -12 = c - 2*t + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/2))**(-1\/24)*(o**3)**(-1\/42))**(-12\/11) assuming o is positive.\nAnswer: o**(31\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 510169223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 + 4)*(1 + 2 - 1)*(0*v - 4*v - v)*(4 - 1 + 0) to the form i*v + f and give i.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 240 = 4*k, -5*b = 117702*k - 117707*k - 315 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 13*a = 10*a - 19, 3*a + 1 = -4*k. Solve -4*x - 12 = -k*x - 3*i, 5*i - 20 = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-750)*10*(-1)\/4\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -581*c. Let t(d) = -d**2 - d - 1. Let o be t(0). Is j(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z**3 - 1799*z**2 - 43*z - 10978. Calculate k(-257).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 99 = 3*y. Is (-59)\/(-2)*y\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 388, 396, 408, 424?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 + 155)*18\/72.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -3\/2, 0, 19, -211?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -70440 (base 8) to base 9\nAnswer: -43647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/6)\/(4\/282). Let w = -33 - p. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0 - 15 = 0. Suppose -5*f + 77 = 4*h - 53, f = -h + 26. What is the remainder when 450\/4*2\/i is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 112?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 4*w = -4*n - 11512, -3*n + 5766 = -w. What is w rounded to the nearest 100?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47290 + 46392 = -2551*l - 851*l - 188008 for l.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -200133232312 (base 4) to base 6\nAnswer: -502325514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/(-3336)*(3 + (-55)\/25). Which is the second smallest value? (a) o (b) 1\/5 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 20.7. Let t = -3.7 + w. Let l = 0.2 + 0. Which is the biggest value? (a) t (b) l (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1156872, -1156871, -1156870, -1156869?\n\"Answer: t - 1156873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 1:15 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = c - 6*c - 25, -2*i - 2*c - 10 = 0. Solve -u - 19 = -5*h, 4*u = -i*h - 5*h + 24 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75178*r = 75170*r + 168 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.467 - 0.533. What is the closest to 0.2 in 0.2, h, -2\/23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 7*z**2 + 4*z + 8. Let f be p(6). Let t(l) = -l**3 + l**2 - l - 5. Is t(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3*w + w)*(-w**3 + 32*w**3 + 7*w**3) - w**4 + 32*w**4 + 65*w**4.\nAnswer: 210*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3641?\nAnswer: 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 397, -84, 176, -1 in decreasing order.\nAnswer: 397, 176, -1, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -30*w**2 - 37*w + 44. Give v(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 77 + 143 = 0. Let a be 1*5*22\/i. Solve -8 = 4*c - a*c, 0 = 2*z + 3*c + 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -203\/6 != -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(25\/(-5)))\/(-20*7\/(-140))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {k: 7, o: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 648 and 736.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 26*i**2 - 2*i - 70. Calculate a(-26).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02596164 to five dps.\nAnswer: 0.02596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.4 (b) -6.11 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtmtvvvettetemme. Give prob of picking 1 t, 1 v, and 1 m.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018753 rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 735 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351836 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-13 - 28) - (-14 + 11)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-53 + 88)*(-11)\/((-770)\/40)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28042*x + 46182*x - 13997*x + 9310*x.\nAnswer: 69537*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) 3 (c) -1940 (d) 380 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 - 2*o - 13. Let y = 128 + -119. Let x(l) = 4 + 3*l - 2*l + 5*l**2 + 3*l**2 - y*l**2. Give -2*k(v) - 7*x(v).\nAnswer: v**2 - 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 11:20 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3281323 and 1489183.\nAnswer: 4267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1040651 - -0.7381129. Let s = d - 0.182095. Let q = s - 0.66. What is q rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 + 7*q. Let x(k) = 2*k**2. Give s(x(t)).\nAnswer: -12*t**4 + 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159015 = -119*u - 154017 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -419715 divided by 3109.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.69845265 to one dp.\nAnswer: -44.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 656 and 211.67.\nAnswer: 138855.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2 = -3*v + 20, h - 5*v = 0. Let u = 6 + h. Solve s - 4 = u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myymayammaymyaaaaa. What is prob of sequence mam?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*h - 6 = 4, -3*h = d + 5. Let o be (65\/25 - d)*5. Suppose -7 + o = 2*j. 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 q(m) be the second derivative of -m**8\/50400 - m**7\/18900 + m**6\/5400 + m**5\/900 - m**4 - 3*m. Let w(n) be the third derivative of q(n). Factor w(r).\nAnswer: -2*(r - 1)*(r + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c4 - -3?\nAnswer: 3c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(0 - (0 + 1)). Let a = -808 - -5654\/7. What is the nearest to -0.1 in -0.4, l, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j\/j**(-19)))*j**27*j**(-7\/3)\/(j**11\/j) assuming j is positive.\nAnswer: j**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -17. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 20 = 0, 3*v + 5*g + 32 = -v. Let y be ((-18)\/8 - v)\/(-3). Which is the closest to y? (a) 3 (b) -5 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 49092040.7\nAnswer: 49092040.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32416 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 12*a - 6*a - 5*a + 0*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378, 386, 394, 402, 410, 418?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-1)*(648\/1232 - (-20)\/(-35)). Solve p - 2\/11*b**3 + 2\/11*b - 2\/11*b**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyhyhhrr. What is prob of sequence hrh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14042 + 7018 - v + 7024. Let g(w) = -436*w**2. Give g(d(m)).\nAnswer: -436*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 7*k + 46. Let w be i(11). Let c(m) = 167*m + 7. Let u be c(w). Suppose 2*v - 9*l - 333 = -4*l, 3*l - u = -2*v. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/222245163 or -1?\nAnswer: -1\/222245163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*o + 358400 = 70*o. What is o rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -404 - 23?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31433039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 2 + 13 + -3 + 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 3*t. Let l be y(-4). Suppose -3*n + 4*a - 6*a = -11, 0 = l*n - 2*a - 24. Let x be (0 - 1)*(4 - n). Which is bigger: 4\/9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-4*sqrt(432) - sqrt(432))*6 - sqrt(432)) + sqrt(432))\/((sqrt(9) + sqrt(9) + sqrt(9) + sqrt(27)\/sqrt(3))*1))**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 - -68. Let p be (5 - (-75)\/(-12))*v\/2. Let j(u) = 3*u**2 + 6*u + 5. Calculate the remainder when j(p) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - -289a?\nAnswer: 2887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 611686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -1, 6448?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 10. Let q = 152.6 - 134. Let g = q - 12.6. Put -0.3, f, g in ascending order.\nAnswer: -0.3, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 6*g = -2*a + 22, -3*g - 4*a - 11 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4416 (base 12) to base 15\nAnswer: 2356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/28)\/(19*33\/1672).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 29*v**3\/6 + 2*v**2 - v. Let h(x) = -30*x - 3. Let k(m) = -3*h(m) - 2*n(m). Is k(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -41. Let t be 1 - ((-96)\/1 - -2). Calculate the highest common divisor of f and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2047 + -2043. What is b in -4\/9*b**3 + 0 + 0*b + 2\/9*b**c + 2\/9*b**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/26 - 1763\/559. Which is the second biggest value? (a) -20\/7 (b) h (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*p + 25*q + 815 = 176*p, 0*p - 2*p + 4 = q + 27 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3243.\nAnswer: 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(((b*b**(1\/7))\/b)\/b)))\/b)\/(b*((b*(b*b**(1\/4)\/b)\/b)\/b)\/b*b)*((b*b*b*b**(2\/7)*b)\/b)\/(b\/(b\/(b\/(b*b**(-12))))))**(9\/8) assuming b is positive.\nAnswer: b**(-2727\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 20087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -312, -0.3, 1, -5\/13?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 42998*g + 23. Let d be v(3). Let f = d + -195917. What is f rounded to the nearest one thousand?\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -246d42 (base 16) to base 8\nAnswer: -11066502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -2\/13, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39232 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 18*s = -2*l + 1389, 3*l + 15 = 0. Suppose 0 = -0*z + z - 3079. Let v = z - s. What is v rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3\/4, -0.4, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*h + 81918 - 206942. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k - 13. Let v be g(-3). Let b(w) be the second derivative of -1\/6*w**3 + 0*w**2 - 2*w - 1\/2*w**v + 1\/6*w**4 + 0. Determine b(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/4)\/((-4)\/16). Let o = 61\/8 - 1297\/168. Let k = -324691.5 + 324692. What is the third biggest value in x, o, k, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 478312.9?\nAnswer: 9087945.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 8*n**2 - n - 1. Let s be t(-8). Suppose s = -j + 16. Suppose j*w = 3*w + 36. Solve w*f + 2*x = 3*f + 22, -3*x = -2*f - 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -2 (b) 0.8 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 147365 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 48320 to the nearest one thousand.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53789800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 169396\/5 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 9*m = 5*m + 5, 0 = -10*i + 12*m - 11*m + 291 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -27. Calculate the remainder when u is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (21 - 1 - 31)) + (-1 - 11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 9*g - 65 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x. Let p(a) = 83*a + 2. Let q(s) = 1. Let f be 320\/128*12\/(-10). Let t(c) = f*q(c) + p(c). Calculate t(u(d)).\nAnswer: 166*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7979930 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*p - 24. Let w be (-1550)\/(-35) - p\/(-21). Calculate the greatest common divisor of 22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + sqrt(162)*4*-2 - sqrt(162) - sqrt(162))\/(3*(sqrt(72)*2)\/sqrt(12)) + 2)**2.\nAnswer: -18*sqrt(3) + 259\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.8 + -4.843. Let k = -0.093 - y. Does -1\/4 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6519 - 97. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 156 - -105?\nAnswer: 25b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 78 + caf5?\nAnswer: cb6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u. Let z = 4 + -1. Let b = 5 - z. Let n(v) = -4*v**b - v**2 + 4*v**2. Calculate n(a(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 23?\nAnswer: 49\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/175249 and -83\/346.\nAnswer: 350498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**4 + 1403*d**3 + 655668*d**2 + 101846160*d - 102503232 = 0.\nAnswer: -468, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i. Let m(y) be the first derivative of -y**3 + 9. Give m(r(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4019*y - 40 = 4009*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -156*j - 44*j - 14*j - 69*j - 103*j in the form k + x*j and give x.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 216606 to the power of 1\/2, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1130 - 213300133111?\nAnswer: -213300131321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49061205 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 5, -0.09, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*l = -25. Let j = -890129\/21 + 42387. Put l, j, -0.3 in ascending order.\nAnswer: l, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w - 5. Let g = 1080 + -1075. Suppose 0 = 4*o + 1 - 25. Suppose -c = 4*r + 2 + o, g = r + 2*c. Let t(z) = -6*z - 9. What is r*t(y) + 5*f(y)?\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1104 - 3*n**2 - 572 - 6*n**3 - 4*n**2 + 15*n**2 - 7*n**2.\nAnswer: -6*n**3 + n**2 + 532","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - -6 - (1 - -1). Suppose t = g + 4, 3*g - 2 = -2*d - 8. Solve d = -5*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b - 23. Let k = 32 - 26. Let x be o(k). Suppose -4*y + 187 = 3*w, y - x - 41 = -w. Calculate the remainder when y is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 4) to base 16\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2. Let l(r) = -2258667*r**2. Determine a(l(u)).\nAnswer: 15304729850667*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-217)\/77 - (-2)\/(-11). Calculate the remainder when 127 + (j - -7) - 2 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 23*i**2 + 11. Suppose 294 - 614 = -7*b - 292. Let t be (1 - 3) + 2 + -12. Let h = t - -1. Let f(y) = 8*y**2 + 4. Give b*x(l) + h*f(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 5*z**2 + z + 19. Let v be r(-5). Is 464\/4*(v\/(-8))\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**3 + 29424*f**2 - 73681839*f + 7483239918 = 0.\nAnswer: 106, 4851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-13))\/((-22370)\/13422).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 5, 118 in decreasing order.\nAnswer: 118, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 2401 - 2396, -4*m + 2*r = -6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 10*i**6\/3 + 8*i**5 + 15*i**4\/4 - 10*i**3\/3 - 5*i**2\/2 + 1. Determine q, given that s(q) = 0.\nAnswer: -1, -1\/2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000335631 to six dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*d = 0. Let b(q) = q**3 + q**2 + 8. Let w be b(d). Let s(z) = -z**3 + 10*z**2 - 10*z + 11. Does 15 divide s(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-2))\/((-1)\/7). Let b = 22\/3 + g. Let t be ((-4)\/50)\/((-1)\/(-5)). What is the closest to -0.1 in b, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**4\/4 + 2*u**3 - 3*u**2 + 2*u + 10. Calculate z(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1900651565?\nAnswer: 5, 47, 8087879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1263630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 112702 = -w, 1 = -w - 4. List the prime factors of q.\nAnswer: 3, 7, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 340193*u + 340192.\nAnswer: (u - 340192)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13714)\/(-6) - 2\/3) + 0\/880 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -48. Let s be 4\/2 - (6 - j). Find the second derivative of -21*b - b**4 - 15*b**4 - 2*b**s wrt b.\nAnswer: -216*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*p**3*q**2 - p**3*q - 5*p**2*v - p - q**2*v + 4*q*v wrt p.\nAnswer: -60*p*q**2 - 6*p*q - 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Let d(l) = -4*l + 8. Let a(o) = -o + 1. Suppose 0 = 77*z - 74*z + 15. What is b*d(w) + z*a(w)?\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46192721, -92385441, -138578161?\nAnswer: -184770881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 2682.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*p + 8 = 0. Let i = 0 - 0.1. Let x = i - 0.3. What is the biggest value in x, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 30. Suppose -3*u + u + g + 14 = 0, -3*u - 5*g = -z. Find the common denominator of (2\/u)\/((-40)\/(-708)) and -55\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 3\/23 (c) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(10\/(-2)))\/(-2*1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a + 484. Let z = -1328\/11 - a. Let k(h) = h**2 - 5*h + 7. Let i be k(3). Is z smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4518600 rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14e88 (base 15) to base 6\nAnswer: 1240015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/10)*u**(-4)*u**(3\/8)\/u**(2\/9)*(u\/u**0)**34*u**(1\/9)*u**(-3\/5) assuming u is positive.\nAnswer: u**(2143\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 - 4*b)*(-8 - 4 + 6 + (-7 + 5 - 4)*(-8 + 7 + 10))*(3 + 2 - 2)*(-3*b**2 + b**4 + 3*b**2).\nAnswer: 720*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2002*l - 5*b = 2006*l - 35, 36*l + 7*b = 4*b + 189 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**5 - 2296*v**4 - 1129380*v**3 - 100260504*v**2 + 974415312*v - 1990223136 = 0?\nAnswer: -174, 3, 6, 913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16574, 33098, 49618, 66134, 82646, 99154?\n\"Answer: -2*o**2 + 16530*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11 + 0.01. Are 21 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2961 and 714?\nAnswer: 100674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*q**3\/5 - 24*q**2\/5 - 9*q\/5.\nAnswer: 3*q*(q - 3)*(3*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, -60, -426, -1140, -2316?\nAnswer: -4068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77997 is divided by 619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.02 + -0.02. Let o = x + -7. Let a = -5 - -9. What is the second smallest value in o, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-4 - -4) + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -9*h**2 - 12*h + h**2 + 3*h + h**2 + 19. Let l(g) = 3*g**2 + 4*g - 9. Let i(r) = 9*l(r) + 4*p(r). What is the first derivative of i(t) wrt t?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6843*g**3*x**4 - 6561*g**3*x**2 + 7*g**3*x - 5*g**3 - 642*g**2 + 3*g*x - 632*x wrt x.\nAnswer: -82116*g**3*x**2 - 13122*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 12*g - 16*g - 5*z + 17, -4*z - 212 = g - 21*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1498, 2999, 7068, 14989, 28046, 47523, 74704, 110873?\nAnswer: 157314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -273, -0.4, -0.5, 4?\nAnswer: -273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t + 0 + 0)*(2 - 2 + t)*(1 + 3 - 2)*((0*t - 3*t + 2*t)*(6*t + 15*t - 4*t) + 6*t**2 + 0*t**2 - t**2).\nAnswer: -120*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3961175 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285 divided by -15.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 9 = -4*x + 5, -19 = 3*x + 5*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-80)\/28)\/((-6)\/21). Suppose 0 = d + d - 2*f - s, 2*d = -5*f - 11. Suppose 0 = -d*h + h + 4. Calculate the remainder when 7 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -48*h + 25. Let c be z(10). What are the prime factors of ((-16)\/5)\/(14\/c)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2*b*((b**(-1\/4)\/b)\/b)\/b)**20 assuming b is positive.\nAnswer: b**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 4 + 1)*(1 + 2*b - 1) + 3*b - b - 6*b to the form l*b + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-54)\/(-90) - (-262)\/5. Find the second derivative of -v*h**3 + 4*h**2 + 24*h - 7*h - 6*h**2 + 19*h**3 wrt h.\nAnswer: -204*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 15*l - 15. Let o be d(-5). Solve 0 = 2*x - 5*u - o, 0*u - 25 = -4*x + u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 15 = -6*u - 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5569, -18459, -39919, -69937, -108501, -155599, -211219?\nAnswer: -275349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86972 is divided by 956?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -41. Suppose 0*p + 2*p - 2 = 0. Let k(j) = 4*j. Let h be k(p). Which is bigger: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**7\/420 - b**4\/2 + 8*b**3\/3 - 13. Let m(x) be the third derivative of y(x). What is the first derivative of m(w) wrt w?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -3562.\nAnswer: -19\/1781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 4*z**2 + z**2 + (18 + 6 + 35)*(0 + 0 + 1)*(-80*z**2 + 85*z**2 - 39*z**2).\nAnswer: -2007*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e - -2b?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05 from -4700099158425.\nAnswer: -4700099158424.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, 5, 1029, -0.1, 0.05.\nAnswer: -1, -0.1, 0.05, 0.3, 5, 1029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -939, -1877, -2815?\n\"Answer: -938*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 143598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 - -53. Suppose -k - k + 15 = n*u, -4*u + 21 = 3*k. Solve -c + i + 3 = 0, 5*c = k*i - 4*i - 15 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**3 + 2*i**3 + 4*i**3 + 0*i**2 - 5*i**3 + 2*i**2 in the form a + s*i + w*i**2 + y*i**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + m - 6 = 0, -a - 1 = 3*m - 3. Suppose 0 = a*t + 15 - 37. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 226\nAnswer: 1\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Suppose -h*s = 2*q - 32 - 0, 3*q + 2*s - 45 = 0. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173484 is divided by 20954?\nAnswer: 5852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m + 12. Give f(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 812 + -477. List the prime factors of h.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597490 to the power of 1\/2, to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 at most as big as -1270\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021595 to 5 decimal places.\nAnswer: 0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**1)\/(q*q**(-5)*q)*(q\/q**(4\/5))\/(q**4*q*q))\/(q**6\/(q\/(q*q**(1\/3)))*(q**(2\/7))**(-2\/73)) assuming q is positive.\nAnswer: q**(-62282\/7665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1221 - 50065\/41. Let w = j - 107\/164. Which is the closest to -1? (a) 0.2 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -83 and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 12*g + 32. Let l be z(3). Let c(h) = -64*h**2 + 20*h + 4. Let y be c(l). Round y to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -40, -1, 30, 42 in decreasing order.\nAnswer: 42, 30, 2, -1, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxs when three letters picked without replacement from xsxxxxxxxkxxxxxsx?\nAnswer: 91\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5747062, -11494144, -17241252, -22988398, -28735594, -34482852?\n\"Answer: -2*p**3 - p**2 - 5747065*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 988166018 to the power of 1\/3, to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4724 + -4723. Let r(h) be the third derivative of 47*h**5\/20 + h**4\/24 - h**3\/3 - h**2. Let u be r(x). Calculate the highest common factor of 20 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/987540 and 109\/45300.\nAnswer: 4937700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 566 and 577 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**9*y*y**4*y*y*y*y assuming y is positive.\nAnswer: y**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3467 (base 8) to base 14.\nAnswer: 95d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4454.23482 milliseconds to weeks.\nAnswer: 0.00000736480625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -81*m**2 + 4*m - 3. Let d be j(2). Let s = d + 518. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-696)\/(-60) + ((-153)\/85)\/((-2)\/(-10))?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 62*q**4 + 2*q**3\/3 - 3*q**2\/2 + q + 98. What is the hundreds digit of f(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-1)*1\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 5*b - 3*b)*(428*b**4 + 108*b**4 + 153*b**4).\nAnswer: -4134*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 6*s**2 + 2*s - s**4 + 3*s**3 + s**2 + 1 + 9*s**2 as w*s + i*s**3 + g*s**4 + j*s**2 + m and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -3.3950873.\nAnswer: 0.033950873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11151029 is divided by 234?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 186 = 8*z. Let m = 67 - z. Suppose -56 = -m*t - 21. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 8 - 2. Let v = m + 2. Let s(z) = -2*z + 3*z - v + 4. Let y(x) = 2*x**2. Calculate s(y(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 2*h - 6. Let p be g(-4). What is the second derivative of 163*c**2 - 148*c**p + 9*c + 3*c wrt c?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8367 is divided by 129.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/1*217 - -3. Let x = 54 - 34. What is the highest common divisor of f and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -g + 3, 2*w = 4*g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3460.281428 rounded to 0 decimal places?\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104\/679 + 1\/97. Sort 5, 0.4, r, -1.5 in descending order.\nAnswer: 5, 0.4, r, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - l**2 - l + 9. Let d be k(0). Let y = d + -12. Let s(n) = -19*n - 5. Calculate the remainder when s(y) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778.7632ml in litres?\nAnswer: 0.7787632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (2 - 8) + (5 - ((-24 - -4) + 18))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/20*278\/417. Let r = -1.2 - -0.2. Which is the third biggest value? (a) k (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 - 6098*s - 132701. Give i(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/16 - (-2)\/8. Suppose a = -y + 104 + 5. What is the least common multiple of 16 and y\/6 - (-6)\/(-36)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 43 = -7*j. Calculate the smallest common multiple of -9*((-13)\/11 + 2\/11) and 11\/(-1*j\/(-5)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.103921265 to three decimal places.\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*i + 28 = 0, -4*i - 8 = -s + 4*s. Let b = -20 + 36. Suppose b = 4*q, -196 = -s*p + q + 3*q. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 1157.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 213, 4, -2, -0.6, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*v = -3412 - 12 - 6272. Calculate the least common multiple of 24 and v.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 723 + -448. List the prime factors of h.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32914423*j*u**2 + 121*j - 4*u**2 + 105*u - 6841 wrt u.\nAnswer: 65828846*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20833 - 2499959\/120. Let x be 0\/(-2)*(-1)\/2. Which is smaller: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4*sqrt(5) + 0 + 4) - ((((-4*sqrt(180) - sqrt(180))*3)**2 - sqrt(180)) + 0)) + 2.\nAnswer: -40502 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 28. Let u be n(12). Solve -u*f = -2*l, 2*f - l = -6*l - 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1064 - -1808. Is c a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Let v(m) = u - 4 - m + 1. List the prime factors of v(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4081696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.9 - -27. Let l = -5 + j. Sort l, -3, 2\/5 in descending order.\nAnswer: 2\/5, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97449 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-1 - sqrt(153))*6 + (0 + sqrt(153))*2 + 2.\nAnswer: -30*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s = 4*g - 15*s - 35, 5*s + 15 = 2*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 + 260 + (-2 + 0 - -6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -470, -437, -448, -533, -722, -1045?\nAnswer: -1532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + ((-2288)\/21)\/11.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-206)\/8 - 3)*(-12)\/(-10). Let h = -34 - p. Which is the second smallest value? (a) -0.1 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 26*r**2 - 2*r. Let x be o(2). Suppose 0 = s - 82 - x. List the prime factors of s.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4185343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-150)*5)\/(4\/15)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a\/(a*a\/(((a\/(a\/(a*a**1)*a))\/a)\/a)))\/a)\/a**7)\/(a*a**(-1\/2))**46*(a**2)**(5\/19)*a*a*a**(-4\/5)*a**(4\/7) assuming a is positive.\nAnswer: a**(-19087\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*x - 12 = 0, m - 4*x - 30 = -6*x. What is the highest common factor of 40 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(((-18)\/12 - -5) + (-125)\/30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 76 + 15. Find the second derivative of -3*s + 6*s**3 - s + m*s wrt s.\nAnswer: 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (3 - 5) + 23. Suppose r = 9*o - 12. Let k(h) = -h - 4. Let x be k(0). Put o, 2, x in descending order.\nAnswer: o, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 30256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1089.\nAnswer: 2\/1089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {r: 8, z: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32148 and 646.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75968331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7 + 1 = 0. Find the second derivative of -s**4 + 3*s**3 - 3*s**w + s - 2*s**4 wrt s.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1400)\/(-420))\/(3\/(-28397700)). Round n to the nearest one hundred thousand.\nAnswer: -31600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6771587027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s + 22554 = 5520. Calculate the highest common divisor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 29 = 3*u, -4*z - 7 = -15*u + 18*u. Which is the smallest value? (a) 3 (b) z (c) -3\/2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3991, -3695, -3399, -3103, -2807?\nAnswer: -2511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 12*l - 108. Suppose 2*c + 2*c - 140 = 0. Let z = c - -37. Calculate the greatest common factor of l and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p**4*z + p*v**2*z - 12*p*v*z + 38*v**2*z wrt p.\nAnswer: -4*p**3*z + v**2*z - 12*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.49? (a) 0.366 (b) -2 (c) -0.3 (d) -0.1 (e) -3 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 192649078?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/11805 and -13\/4044393.\nAnswer: 20221965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -16*y + 10083. Let p(d) = 33*d. Calculate p(x(z)).\nAnswer: -528*z + 332739","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 9966132591\nAnswer: 9966132597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**8\/6720 - g**5\/40 + g**4\/6 + 3*g**2. Let m(j) be the second derivative of p(j). Differentiate m(n) with respect to n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2. Let k be n(1). Suppose 2*t - 4 = -2*t. Let z(d) = 22*d**3. Let a be z(t). Solve 3*h + 2 = c, k*c - a = -2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13464 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 8. Let v be m(6). Let j(k) = -k**3 + 12*k**2 - 4*k - 72. Let r be j(11). Let l = r + v. Solve -l*g + 2*q = 0, 6 = 5*g - 4*q + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1780, 7043, 15816, 28099, 43892, 63195, 86008?\n\"Answer: 1755*d**2 - 2*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 11*s + 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3\/3 - 2*m**2\/3 - m = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and 680104.\nAnswer: 1156176.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1148 and 1955331?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5139 and 386567?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5153 - 5356 = -29*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(51\/(-136))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.6, 4\/127, 3 in ascending order.\nAnswer: 4\/127, 0.6, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3073*j**2 + 3077*j**2 + 2656*j**2 - 8800*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 840, 1138, 1434, 1728?\nAnswer: 2020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + 274*f. Let w(u) = 1081*u. Determine w(r(k)).\nAnswer: -2162*k**2 + 296194*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctetqjz. Give prob of sequence jet.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 602891579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 14) in base 9?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 201096 divided by 100548\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 331668876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, w: 4, r: 1}. What is prob of picking 1 y and 2 w?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1432066.\nAnswer: 2, 716033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-29)*(m*m**(5\/6)*m*m)\/m*m**2*m\/(m\/(m\/(m**(-3)*m)*m)) assuming m is positive.\nAnswer: m**(-121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*n - 10986914 + 10981346 = 0 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -43.\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88837, -175156, -261475, -347794, -434113, -520432?\nAnswer: -606751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) + (1*sqrt(216) - sqrt(216)) - sqrt(216)) + sqrt(24) + sqrt(48)\/sqrt(2)*-5)\/((sqrt(80) + -1*sqrt(80)*5)\/(sqrt(70)\/sqrt(63))).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113592004 + 30*i + 113592004.\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 0*n + 4*n + (-3*n + n + 0*n)*(-4 + 2 - 6) in the form k*n + s and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21776790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 + 28*q**2 - 176. Let r(n) = -n**3 + 20*n**2 - 118. Determine -5*k(a) + 7*r(a).\nAnswer: 3*a**3 + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8968 and 59?\nAnswer: 8968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = 5*d - 5*t - 0*t, 0 = t - 3. Let j = 67 - d. Find c such that -12\/5 - 63\/5*c**2 - 147\/5*c**j + 72\/5*c = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 878*h - 898*h + 37, -3*g = -3*h - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136*0.37089.\nAnswer: 50.44104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**9*f\/f**(1\/7)*f)**(1\/68)*(f**(5\/7)\/f*f**(-10))**(-16) assuming f is positive.\nAnswer: f**(78419\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3902457851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*d - 7*z + 3*z, -5*z = -2*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 + w**3 - 2*w**3 - 7*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03917 + 43.62083. Let g = -44 + y. Let s = g + 0.34000031. What is s rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*2\/4. Let t = 84331 + -84328. Which is the nearest to v? (a) t (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(495))\/sqrt(11))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -8. Let k be 16353\/(-474) - -5*7. Sort -0.3, z, -37, k in descending order.\nAnswer: k, -0.3, z, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 10*x + 201. Let c = x + 324. What is the remainder when c is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*j**3 + 5755*j**2 + 2*j - 40081 wrt j.\nAnswer: -15*j**2 + 11510*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 54. Suppose 3*f - 16 - 2 = 0. Solve f*z - 28 = -r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 841414918 to the power of 1\/2, to the nearest integer?\nAnswer: 29007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 17 + 42 - 33*w**2 - 59. Let s(f) = -29*f**2. Calculate j(s(d)).\nAnswer: -27753*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 4, 1\/5, 184.3, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20, -0.1, -39\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 - 34 + 22*m in the form v*m + l and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q**2 + 12*q + 276. Let n(w) = w**2 + 2*w + 29. Let b(a) = -k(a) + 6*n(a). Let m(t) = 5*t. Determine m(b(z)).\nAnswer: -5*z**2 - 510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32 - -8)\/(-8) - (1 + 0). Solve 0 = y*b - 0 - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by 5278.\nAnswer: 67\/5278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-221000060)\/260 - 3\/(-13). What is c rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.453 take away 354253274296?\nAnswer: -354253274295.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 - -104. Suppose -2*q + b = 15. Calculate the remainder when 27 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -575000 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 53196381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6555541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 83b0c (base 14) to base 15\nAnswer: 6421d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1904 - -1902. Is a at most -298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 31*v - 5. Let u be j(3). Let o be 5\/(19740\/u) + 0. Let w = 10\/47 - o. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and 1.29.\nAnswer: -19.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u + 1. Suppose -1515 = -5*y - 2*p, 4*p + 10 = 2*p. Let o = y + -299. Calculate the lowest common multiple of v(-2) and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**6\/6 - k**5\/5 + 1699. Suppose i(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*k - 177, -80*k = -j - 85*k + 187. What is the greatest common factor of j and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1722871 is divided by 815.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 11. Suppose t - 4*q - 17 = 3, -7 = -2*t - l*q. Suppose -3*j + 126 = -3*f, 0 = 4*j + 2*f + t - 146. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2 - 832*s - 86528 = 0. Calculate s.\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146130 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(304))**2*1 + (-1*sqrt(304)*-1)**2.\nAnswer: -16*sqrt(19) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -617842.97 and -0.2.\nAnswer: -617843.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1760)\/(-18) - (224\/(-36) + 6). What is the greatest common factor of 245 and q?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 248.97 - 250. Let p = 0.17 - u. Let a = 4.2 - p. What is the second smallest value in a, 2\/15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -2324?\nAnswer: -2091.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (3 - (-3)\/(-3)). Let i(q) = 2 - q + m + 2*q + 3. Is i(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(126) - (sqrt(126)*1 - sqrt(126))*-2)\/sqrt(7) + -1)*4.\nAnswer: -36*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 1:36 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*l**2 - 190 + l**3 - 147*l**2 + 454 + 334*l + 107*l**2 = 0.\nAnswer: -66, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 4*b + 5*i + 14, 3*b + i - 12 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.284 - -5.416. Let i = 0.16 - 3.16. Let r = i + 3. Is o greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -22\/6993, 0.5, -4, 1.6, 1?\nAnswer: -22\/6993","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9245 (base 11) to base 7.\nAnswer: 50526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 974 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 y, and 1 d when four letters picked without replacement from {y: 4, v: 4, d: 1, n: 6}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 543894 divided by -5?\nAnswer: -543894\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -888269774717.\nAnswer: -888269774717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w = -10*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1202792)\/(-1383690) + 6\/(-495).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/932824 and 167\/111150.\nAnswer: 2728510200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000081346101 to seven decimal places.\nAnswer: 0.0000813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18479280.3 rounded to the nearest 1000?\nAnswer: 18479000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**3 - u. Let p be q(1). Suppose -9*x + 90 = -p*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538 - 1498 - ((-1 - -4) + (-5 - -11))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -25.5841461.\nAnswer: -25.3841461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -15\/2*j**3 - 63\/2*j**2 - 1\/2*j**4 - 49\/2*j + 0 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90027 by 10003.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -6. Let a(t) = -t**3 - 3*t**2 + 7*t + 5. Let p be a(x). Solve 4*h = -0*h + p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4000594 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0 + 1, 2*x + m - 7 = 0. Solve 7 = 2*s + 3*g, 5*s + x*g - 2 = -7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 11*j - 15. Suppose j*h = -2*a + 126, 21*a + 2*h - 284 = 17*a. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3 + 9 = -5*x, 5*x + 10 = -5*m. Let s be (4 - 0) + x + 76. What is the highest common factor of s and 400?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834 a factor of 9742520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 - 86. Solve j - c - 4 = 2*j, -5*c - 11 = q*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 6*p**2 + 3*p - 26. Suppose 19 = 5*g - 16. Does 22 divide i(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543026?\nAnswer: 2, 11, 24683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000687 to six decimal places.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -373 - 354 - 339*k - 369 + 308*k**3 - 368 + 1465 wrt k.\nAnswer: 1848*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 10. Suppose 5*x = 7 + a. Suppose 2*y + 2*y + 3*b - 16 = 0, 0 = x*b + 12. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/2 - 1363*z**2 - 2757*z\/2 + 40905 = 0. What is z?\nAnswer: -6, 5, 2727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -377633*s - 11. Let z(k) = -k. Determine h(z(b)).\nAnswer: 377633*b - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2222 and 84722.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**4 + 124*t + 189*t - 6*t**2 - 246*t + 0*t**2 + 10*t**2 to x*t**4 + u*t + a*t**2 + l*t**3 + b and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 112787577391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 - 2*s**2 - 5*s + 6. Let r = 55 - 54. Let t(v) be the first derivative of -v**2\/2 + v - 2. What is r*i(g) - 5*t(g)?\nAnswer: -2*g**3 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-4 + 3)*11. Let a = -4 - m. What is the units digit of a + -3 - (1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049.96 decades in centuries?\nAnswer: 104.996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + s + 3*s**3 - s**4)*(19 - 19 + 8*s + (-4 + 3 - 1)*(5 + 2*s - 5) - 3*s + 0*s + s + 4*s - s - s).\nAnswer: -4*s**5 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/14265900 and 19\/1572?\nAnswer: 14265900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oh when two letters picked without replacement from hqhohqqrqq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.3, 0.04, 2\/13 in increasing order.\nAnswer: -0.3, -1\/4, 0.04, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-100)\/(-49) + (-294)\/7203. Let f = 51 + -36. Suppose -w = -4*w + f. Solve 7*u = w*u - c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 11 = -1. Let f = -38 + 40. Solve -2 = d + 3*a, l*d + 3*a - a = f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28713 is divided by 561?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**3 - 2*m**2 - 15*m - 25. Let d be c(-2). Solve r = 41 - d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102\/68*-1*(-10)\/6.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + (-3)\/3)*1. Suppose -3*p - 216 = -2*k, w = -3*k - 0*p - p + 313. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 851, 864, 881, 902, 927?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178430469, 178430470, 178430471, 178430472, 178430473?\nAnswer: 178430474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a - 44. Let k be s(11). Suppose k = 3*l - 447 - 27. List the prime factors of l.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1633099, 1633108, 1633117, 1633126, 1633135?\n\"Answer: 9*r + 1633090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 889.7912mm to kilometers.\nAnswer: 0.0008897912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**7\/1260 + a**5\/60 + a**2. Let t(r) be the third derivative of l(r). Let y be t(1). Let c(o) = -2*o + 6. Give c(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 8491\/3, -2\/5 in increasing order.\nAnswer: -0.6, -2\/5, 8491\/3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (146\/(-138))\/((-12)\/9) and 67\/828.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17374 is divided by 52?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by 85.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5063 (base 16) to base 11.\nAnswer: -14509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 5068?\nAnswer: 15204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f - 12. Let c be h(4). Sort -0.5, c, -3 in decreasing order.\nAnswer: c, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 18 + 19 + -4 + -30?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-32)\/(-12))*12\/(-9). Factor 1\/4*f**4 + o + 1\/4*f**3 - 1\/4*f - 3\/4*f**2.\nAnswer: (f - 1)**2*(f + 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52396045 divided by 4030465.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -5) + -37 + -56 + 51\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 + (-3)\/(9\/(-2544)).\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**4 - 2*y**4 + 3*y**4)*(5889 - 13874 + 1112) to the form o*y**3 + f*y**2 + n + h*y + v*y**4 and give v.\nAnswer: 6873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 0. Let k(n) = 40 - 27 - 7*n + 0*n**2 + n**2. Calculate the remainder when k(s) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z - 2. Let j(d) = -13*d. Let s(f) = -7*f. Let t(x) = 6*j(x) - 11*s(x). Let y be -10 + 6 - (-1 - 0). Determine y*t(k) + n(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.1. Which is smaller: -8 or o?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = f - 3*b - 17, 5*b = 2*f - 33. Let w = -4 + f. Let n = -89 - -91. Solve -12 = -w*i + n*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*r**2 + r**3 - r**3 - 113*r**2 + r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 29*l**2 - 37*l**2 + 11*l**2. Let a(o) be the third derivative of o**5\/15 - 2*o**2. Determine a(b(i)).\nAnswer: 36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 112888764 to the nearest 100000.\nAnswer: 112900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 118312 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 528 - 343. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 41. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 9, c: 4, k: 1}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 3*x = 34, -2*r + 50 = -168*x + 345*x - 172*x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - 1*sqrt(192)) + 0 - -4*(sqrt(192) + -1))**2*6 + ((sqrt(324)*1 + sqrt(324))\/sqrt(12) - ((sqrt(3)*-2 + -3 + sqrt(3))*-5)**2).\nAnswer: -1680*sqrt(3) + 18228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297127.\nAnswer: 41, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.04, -0.3, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 26*k - 22*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11004 (base 5) to base 4\nAnswer: 23302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 25. Let z(w) be the third derivative of -2*w**2 + 0*w**4 + 0 + 0*w - 1\/30*w**5 + 1\/6*w**d. What is the first derivative of z(b) wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5419513509 + 0.0339.\nAnswer: 0.5758513509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 368*v - 353*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uqqquqququuqz.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 111\/2*u + 105\/4*u**4 + 0 - 105\/4*u**2 + 3\/4*u**5 - 225\/4*u**3 = 0.\nAnswer: -37, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*l - 2807, 2085 = -0*k - 3*k - 3*l. What is the common denominator of -59\/56 and -24 - -27 - k\/(-308)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4190 + 4115 + (-734)\/(-10)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, -26, -9, 3 in decreasing order.\nAnswer: 3, 0, -9, -10, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -573083358 or -573083359?\nAnswer: -573083358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 85760822 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6059*t + 6054*t - 4787150. What is t rounded to the nearest ten thousand?\nAnswer: -960000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v**2 - 18*v**2 + 254*v**2.\nAnswer: 220*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*r + 2 - 60*r - 16*r**3 + 95*r**2 - 104*r + 2*r.\nAnswer: -16*r**3 + 95*r**2 - 229*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 66 and 9.531556.\nAnswer: 75.531556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.439 * 0.1.\nAnswer: 0.0439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816570?\nAnswer: 2, 3, 5, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17325.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2162)\/(-14) + (-27)\/63 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22718, -45405, -68092, -90779?\nAnswer: -113466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 60. Let m = -1.02 - -1.02. What is the closest to 1 in m, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*x = -2*x - 20, 5*x = 2*z - 13. Suppose -z*q + 16 = -80. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjcjcjcjcjcjcjjccccc. Give prob of sequence jj.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -5\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {r: 10, k: 6, q: 1}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjpljlkjjjjlklklljj. What is prob of picking 1 l and 1 k?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**4 + 3433*z**4 + 75*z - 75*z + (-2 - 1 + 4)*(0*z**4 - z**4 - z**4).\nAnswer: 3435*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 301936\/405 or 745?\nAnswer: 301936\/405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20\/51 - 14\/51. What is the biggest value in s, -534, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53290 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5022)\/144 + 517\/88 + (-2 - 4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3122 - 3116. Which is the closest to t? (a) -2\/5 (b) 0.12 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 239*z**2 - z - 1. Let v be y(-1). Suppose v + 13 = 2*q. Let n be 28\/q - (-1)\/9. Which is smaller: n or 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 74*z + 30. Let m(w) = -146*w - 59. Let h(n) = 5*l(n) + 3*m(n). Differentiate h(k) with respect to k.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*x + 42*x = -75 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -209, -239, -287, -353, -437, -539, -659?\n\"Answer: -9*k**2 - 3*k - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 11:30 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252\/2*(-2)\/(-4) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000866477 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 373 = 5*t - 2*u, 2*t - 154 = -2*u. Suppose 2*a - 1 = t. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 25*b**2 + 10 + 21*b**2 - 1 - 8.\nAnswer: -4*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3*z*z**(2\/25)\/z*z)**(1\/4) assuming z is positive.\nAnswer: z**(51\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468 divided by -156.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 6*z - 1. Let q be l(-5). Let u = 19 - 16. Suppose u*x + q*m = 173, 224 = 4*x - 0*m + 2*m. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -11*q - 5. Let a(s) = -2*s**3 + 77*s**2 + 37*s + 83. Let m be a(39). Let d(t) = 5*t + 2. Calculate m*d(i) + 2*l(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - sqrt(114)*-2*-6)\/(sqrt(6) - (sqrt(96) - (sqrt(96) - sqrt(96)*2))).\nAnswer: 11*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22819859.\nAnswer: 947, 24097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - -148. Suppose 0 = 5*h - 5, -5*k + t + 91 = h. Is 26 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k + 12*k**2 + 2*k + 12*k**3 - 12 + 0*k. Let i(p) = -p**3 - p**2 + 1. Let c(f) = -10*i(f) - x(f). Let c(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 4 = -8*f. Solve -3*r = -f*c + 7, 3*r - 6 = 4*c + r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (160\/(-3360))\/(2 + (-40)\/28)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 394077731 to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21, 34, 61, 108, 181, 286?\n\"Answer: u**3 + u**2 + 3*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*b - 1728 = 149*b. Let m(g) = g**3 + 7*g**2 - 19*g - 4. Calculate m(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 5*a - 3. Let o be y(6). Let h = 0.06 - 0.04. Let m = h + -0.22. Put 2\/7, o, m in decreasing order.\nAnswer: o, 2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -641 and 475?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q = -389 + 144 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from {e: 1, g: 5, s: 1, c: 3, o: 1, t: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 1\/3, -19 in increasing order.\nAnswer: -19, -2, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 35987 = 42. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 - -71. Let h = -9 + 15. Let x be h\/39 - (-42)\/(-104). Which is bigger: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91*z**6 + 259*z**2 wrt z?\nAnswer: 10920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = -4*r, 5*h + 5*r - 7 = 3. Suppose 2*m - 2*k = 6, -4*m + k + 6 = -0*k. Let l be h\/(-4)*0\/m. Let t(s) = -s + 1. Give t(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:33 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4724 is divided by 1165?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -0.17, 5, -9485?\nAnswer: -9485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 1098*v**3 + 101559*v**2 + 199836*v + 99372.\nAnswer: 3*(v + 1)**2*(v + 182)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (567\/(-308))\/(-27) - 1\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.147 (c) 1 (d) -2 (e) 1551 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4898.574 tonnes to milligrams.\nAnswer: 4898574000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4676, -4677, -4678, -4679, -4680?\n\"Answer: -y - 4675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.163 * 0.07607.\nAnswer: 0.01239941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -30, -12, -3 in decreasing order.\nAnswer: -3, -9, -12, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (96*i - 49*i - 52*i)*(-2 + 3 + 1)*(-2 + 2 - 1) to the form q*i + l and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-1))\/((-1)\/4). Suppose -4*w = -4*c + 1 + 15, 5*c - 19 = 4*w. Let l = -2181 - -2183. Solve -i = -r + c*i - g, l*r + 10 = 2*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -40 (b) 1 (c) 2 (d) 9\/5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 14*a + 624 = 0. What is the remainder when a is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59.2918633235842432 + 5407567784.7081371064157568. Let p = -5407567869 + a. Let y = p + 25. Round y to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 1:54 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13695 to 3 dps.\nAnswer: -0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1167 + 11*t - 1167 + 10*t)*(0 + 10 - 2).\nAnswer: 168*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/429, 2\/29, -1\/11 in increasing order.\nAnswer: -5, -1\/11, -2\/429, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 0*n + n - 4 = 0, -5*n + 2 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 353953018?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.1. Let y = 663442\/3 - 221143. Which is greater: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -31?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -16. Let q = 9 + h. Suppose -q*w + 7*w = 52. What is the remainder when w is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 12. Let i = a - 13. Let y(b) = b**2 - 6*b. Let w be y(6). Solve 2*n + 3*s + i = -w*n, s = -2*n - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 44. Suppose -5 = 4*o - l. Let s be (1\/(-2))\/(1\/(-6)). What is the highest common divisor of s and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212648?\nAnswer: 2, 19, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3.4525\nAnswer: -5.4525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -210*z - 2649. What are the prime factors of w(-41)?\nAnswer: 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -12?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -11*y**3 + 19*y**2 - 23*y + 54. Let i(f) = 13*f**3 - 20*f**2 + 23*f - 66. Let a(d) = 5*i(d) + 6*l(d). Give a(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.124442 nanograms?\nAnswer: 0.000000000000001124442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1041 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 2\/7, 0.13 in decreasing order.\nAnswer: 5, 1, 2\/7, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 46 (b) 1055 (c) -3 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 893 + -401. List the prime factors of h.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/152 + 271\/1672. Factor 0*t - c*t**2 + 0.\nAnswer: -2*t**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112.954397 - 0.\nAnswer: -112.954397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -183446 + 183446 - 2*t + 2*t + 2*t**2. Let u(n) = 581*n**2. Calculate u(d(k)).\nAnswer: 2324*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**2. Let i(m) = 596*m + 7. Let d(g) = 198*g + 2. Let q(h) = 7*d(h) - 2*i(h). What is q(f(c))?\nAnswer: -970*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 14386533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(2\/17)*z))\/(z\/(z\/z**(-3))))\/(z\/z**6*z*z**(2\/7)))\/(z*z**(2\/15)*z*z*z*z\/(z*z\/((z\/z**(-3\/4))\/z)))**(-12) assuming z is positive.\nAnswer: z**(31652\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 942*n**2 - 15759*n + 625. What is p(17)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -174 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 - 2. Let l = -3.05 + 3. Put -3, l, x in increasing order.\nAnswer: -3, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3\/4))\/t**(-1\/14)*(t*t*t*t**(2\/7))**(-44))**3 assuming t is positive.\nAnswer: t**(-1731\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15932\/2601 + -28\/289. Let v be -12*((-3)\/(-6))\/1. Calculate the common denominator of v\/21 + 1210\/(-28) and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72\/132 + 6648\/33.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*s + 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*m**5\/4 + 13239*m**4\/4 - 134308*m**3 - 76958*m**2 + 53956*m - 6724 = 0.\nAnswer: -1, 2\/9, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*m - 9 - 7, -m = -j + 4. Suppose 0 = -j*v - v + 20. Solve -2*t - v*c - 26 = -4*t, -2*c - 3 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 2\/7, -1, -11, 3\/7 in ascending order.\nAnswer: -30, -11, -1, 2\/7, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**4\/2 + 17*s**3\/3 + 9*s**2\/2 + 13*s + 44. Let t be h(-8). Find the common denominator of -67\/40 and 5\/t - (3 - 255\/24).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -98, -94, -90, -86, -82?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9549, 19175, 28801?\nAnswer: 38427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87)\/783 - 178\/18?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*c + 2666 = -1600 for c.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96408.\nAnswer: 2, 3, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) - (sqrt(704) - (sqrt(704)*-2 + 0)).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.8 + 3. Let c be ((-1752)\/(-272))\/(9\/(-4)). Let m = 26\/17 + c. What is the nearest to -0.1 in m, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, w: 4, i: 4, c: 4, y: 2, s: 4}. Give prob of sequence sycw.\nAnswer: 16\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 255 + (117\/(-12) - (-9)\/(-36)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -2\/401, -0.3, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -645791\/390 - -3311\/2. Find the common denominator of x and ((-5668)\/480)\/(-13)*2.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25.2 + -3.8. Let h = 19 + o. Let j be 2 - (0 - (-3)\/1). Sort h, 3, j in decreasing order.\nAnswer: 3, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152.8 + -153. What is the closest to d in 2, -0.5, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 50*t**2 - 111*t + 80. Calculate v(27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 542 = 514. Factor -1\/2 + f**2 + 0*f - 1\/2*f**d + 0*f**3.\nAnswer: -(f - 1)**2*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(2) - (sqrt(2) + 5*sqrt(2) + sqrt(2))) + 2)**2 - (-3 + sqrt(2) + sqrt(14)\/sqrt(7)).\nAnswer: -22*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/(-9))\/((-3)\/(-72)). Suppose 4*y = 6*y - i. Let w be (6\/15)\/(8\/y). Solve -v = -2*b - w + 5, -5*v = 2*b - 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 5*s**2 + 5*s**2. Let t(x) = x + 1. Let k(g) = 9 - 2 - g + 7*g - 2. Let c(i) = k(i) - 5*t(i). Calculate z(c(q)).\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*t + 5 = 4, 5*m - 12 = 3*t. Suppose -m*n = -31 - 53. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -438 - -704. Suppose 0 = 5*c - 6*q - 80, -c + 5*q - 317 = -314. What is the least common multiple of c and a?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28348694 to the nearest integer?\nAnswer: 5324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143379 - 567268 = -61*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 7:27 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -863476 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5775489 in -0.4, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f**2 - 51*f - 45. Let b = -17 - 19. Calculate the lowest common multiple of 4\/(b\/(-15) + -2) and s(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -1\/3 (c) -27 (d) -2\/11 (e) -66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 + 0*b**3 + b**3)*(-12*b + 28*b + 17*b)*(-20 + 0 - 19).\nAnswer: 2574*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 4. Let f be o(-4). Suppose 5*k + 1213 = 5*l - 702, f*l - 5*k = 1533. What are the prime factors of l?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5540 bigger than -250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -24\/5*c**5 + 0*c**2 + 4 - 9\/2*c**4 - 4\/3*c**3 + 0*c - 4\/3*c**6. What is y in n(y) = 0?\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*b - 8 = -27, 65*k - 40*k + 2*b = -431 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 7*a**3 - 16*a + 6*a**3 + 2*a**2 + 18*a to i*a**2 + v + g*a**3 + s*a and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*d - 26, -2*d = 4*z - 1 + 3. Let w(r) = 8*r - 8. Let a(k) = -33*k + 33. Let c(y) = d*a(y) - 21*w(y). Is 6 a factor of c(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54562662245 + -54562662288.024869017. Let h = -43.5808695 - x. Let g = -0.556 - h. Round g to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 76\/(-20) + -4 + (8 - 1). Let y = 0.546 - 0.246. Which is the nearest to -0.1? (a) y (b) -2\/17 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*b - 21 = 0, 24 = 2*p + 4*b + 10. Let a(z) = -10 + p - z + 20*z - 9. What is the units digit of a(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1923 is divided by 1923?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3694339 is divided by 661.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1084*x**5 + 4*x**4 - 301*x**3 + 16*x**2 - 8114*x + 3.\nAnswer: 65040*x**2 + 96*x - 1806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 14*n - 4. Let y be w(-7). Let g = 96 + y. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*b**3 - 204*b**2 - 210*b**2 + 413*b**2.\nAnswer: -62*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + (3 - 1) + 2 + 72 + -39?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000107022 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 470124 divided by 36.\nAnswer: 13059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*f + 4*x + 2, 0 = -f + x + 10. Let s(v) = -v**3 - 11*v**2 + 8*v + 5. Calculate the remainder when s(-12) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (587 - 587 - 122*v)*(33 - 33 + 8*v).\nAnswer: -976*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6827 - -6830. Let r(i) be the first derivative of -14*i + 0*i**2 + 0*i**c + 17 - 11\/2*i**4. Find the first derivative of r(z) wrt z.\nAnswer: -66*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57702?\nAnswer: 2, 3, 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4169*o - 543*o = 381*o - 4303*o + 822732 for o.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/3))**(-7\/6)*f**(-6)\/(f*f\/((f**3\/f)\/f*f)) assuming f is positive.\nAnswer: f**(-143\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**5\/60 + k**4\/24 - k**3\/6 + k**2 + 8. Let g(l) = -6*l**2 + 7*l - 7. What is -2*g(s) + 14*u(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -21012444 (base 6) to base 2\nAnswer: -10010100100010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -13*j - 16. What is d(10)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/37 less than -0.0604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-37)*q)\/q*q)\/(q*q**(-28)\/q))\/((q**22\/q)\/q)**15)**(-1\/6) assuming q is positive.\nAnswer: q**(154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5350 <= -42789\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/20 and 58\/45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 9*w + 11. Is a(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttt. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -41.66 (b) 6 (c) 1 (d) 1\/5 (e) 3\/8 (f) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 2, k: 2, z: 4, m: 7, n: 1}. What is prob of sequence zzk?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r. Let o(j) be the third derivative of 7*j**4\/12 - 3*j**2. Determine o(k(g)).\nAnswer: 56*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 equal to -277\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-6)*(3724\/56 + -56).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/24*12\/10?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 348817 and 931.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u - 3*n - 163, -2*u - 82 = 2*n. Let g = 45 + u. Let h be (g + 35\/(-14))*(0 - -10). Solve -5*a = -h, a + 2 = q + 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/(-90) - (-444)\/27. Calculate the greatest common divisor of 112 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17834*d**2*y**3 - d**2*y + 8957*d + y**3 wrt d?\nAnswer: -35668*y**3 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.05, 2.\nAnswer: -3, -0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(130)*1 + -1*((sqrt(130) - (sqrt(130) + sqrt(130)*-2 + sqrt(130))) + sqrt(130)))\/(4*(sqrt(490) + sqrt(490)*1)).\nAnswer: sqrt(13)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27128, 27133, 27142, 27155, 27172, 27193?\n\"Answer: 2*x**2 - x + 27127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 - -52. What is the second derivative of -z**3 + 2*z**x + 6*z + z + z**3 wrt z?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 72366?\nAnswer: 72366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138648726?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-5))\/(4\/(-110)). Let u = -18 + d. Solve 5*t = u*w + 15, -3*w = 5*t - 4*w - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 4*s + 7 + (-3*s - 3*s + s)*((-2 + 1 + 3)*(2 + 0 - 4) + 1 - 17 + 27).\nAnswer: -31*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(891)*5*5.\nAnswer: -675*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -781.9833 + 782. Round y to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183 divided by 16\nAnswer: 183\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73222 and 127286.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 v when four letters picked without replacement from {g: 1, v: 1, r: 1, z: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/10)\/q*q*q*(q*q**(5\/3)*q*q)\/q*(q**(5\/3)*q)\/q**(-8))**(1\/3) assuming q is positive.\nAnswer: q**(463\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 - -72. Suppose -5*w = 5*t - 90, l*t = -0*w + 4*w - 40. What is the lowest common multiple of 12 and w?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 512 divided by 30418\nAnswer: 256\/15209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 1, 0.5, 1\/10, -9 in ascending order.\nAnswer: -9, -0.03, 1\/10, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-33) + (-2)\/11. Suppose -4 = l - d. Let a be (11 - 5)*(-18)\/l. What is the highest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -36*k + 590. Let n be h(16). Solve -30 = -4*j + 11*y - 6*y, 4*j - n = -3*y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 108*b**2 + 453*b + 535. Calculate u(-112).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v. Let q(j) = j. Calculate -12*q(g) + 2*w(g).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -30426\nAnswer: -30426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*j**2 - 20*j**2 - 10*j**2 - 12*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 5:03 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 54986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/25)\/(k\/k**(-8\/3)))**(-15) assuming k is positive.\nAnswer: k**(281\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**2 + 6*n + 2. Let m be a(-4). Calculate the highest common divisor of m and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5828*z**3 + 5333 wrt z.\nAnswer: -17484*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 + 128?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1300) + sqrt(1300)*-2 + -2 + sqrt(1300) + 3 + (-2 + sqrt(1300) - sqrt(1300)) + sqrt(1300) + -4) + -4)**2.\nAnswer: -3120*sqrt(13) + 47476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.400645 to two decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -499, -497, -495, -493, -491, -489?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((5 - 2) + 8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 186 = 171. Let f(a) = 3*a**3 + 1. Let m be f(-1). Calculate the remainder when 6 is divided by 2 - (j - (-3 - m)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*x - 5*d - 15, 2 = -d. Suppose x*w - 4 = -2*w. Let z be 1 - w*6\/(-3). Solve z*l - 2 - 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 3*n**7\/280 + n**5\/60 - 10*n**3\/3 + 8. Let j(u) be the third derivative of d(u). Find the second derivative of j(q) wrt q.\nAnswer: 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g - 80. Give w(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54916177.\nAnswer: 37, 1484221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 303326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-4)*(-4)\/(-450)*3*6. Which is the biggest value? (a) -837 (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2971 - -3.2971. Let o = 46 + -142\/3. Which is the closest to 0.1? (a) u (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 51*t - 3. Let d(h) = -27*h + 1. Give 5*d(x) + 3*q(x).\nAnswer: 18*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68837690?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 2023.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z. Let i(a) = 228*a**2 + 1463*a + 23. Calculate i(g(j)).\nAnswer: 228*j**2 + 1463*j + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/11 (b) 1 (c) 1\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -0.35, 1320, -1\/2, 0.9 in decreasing order.\nAnswer: 1320, 0.9, -0.35, -1\/2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*k + 2*k. Let s = -2 - -3. Let g = 0.9 - s. Is k at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**1\/c*c**(-1)*(c\/(c*c**(1\/2)))**(-3\/20)*((c**1\/c)**(11\/5))**(-33) assuming c is positive.\nAnswer: c**(-37\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 87402\/(-45))\/(-2740). Let i = 1\/274 - h. Let b = i - -1\/25. Sort 3, 8, b.\nAnswer: b, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 7*k**2 + 3. Determine s(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.6 + -35.600574. What is k rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 0.1162.\nAnswer: -0.1838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 7 = 17. Let r(m) = 1 + 0 - 7*m + 2*m. Let t(d) = 15*d - 3. Let g(p) = k*t(p) - 17*r(p). What is g(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -2. Suppose 6 - 15 = -3*a. What is the derivative of -g - m**a - 1 + 4*m**3 wrt m?\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 6 + 6. Let i be (-2)\/8 - 63\/o. What is the tens digit of (2\/i)\/((-4)\/(-160))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*g + 3*i, -5*g + 6*g - 2*i = 20. Let d = -4 + g. What is the common denominator of d and (-7)\/8 + (4 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*z - 46*z + 496 = 39*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 + 111?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 = -22*j + 51*j. Let p(o) = -o - 4. What is p(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 508 = 2*l, -2*f = 2*l + 252 + 260. Let u = -217 - l. Solve -10*q - u = 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 315\nAnswer: -314.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155 - -164. Suppose q*h + 3*h - 4224 = 0. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2229b - 99?\nAnswer: 22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 2853846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28446\/5 - 5689. Suppose 0 = -3*j - 3*s - 73 - 20, -3*j + 3*s = 81. Which is the third biggest value? (a) z (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 1:25 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g**(-1))\/(g**(-1)*(g*g**(15\/2))\/g) assuming g is positive.\nAnswer: g**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + -0.22. Suppose -8*j = -11*j + 27. Let o be -2 + (-2 - (-34)\/j). Which is the second smallest value? (a) -0.2 (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/3 - (12\/14 + 56616\/1176).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*q = 9, -1 - 6 = -3*u + 4*q. Let v be 0\/(-3) + 7 + u. Suppose -2*g + v = -0. Solve -n = 6*x - x - 20, g*n = x - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -23 + 3 + 21?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -12*n**3 + n**2 + 2*n - 7. What is i(-2)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide -10 - (7 + -4377 - 20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + 1 + sqrt(2) + sqrt(8) + -2)**2 + (sqrt(320)*4)\/(sqrt(250)*2 + sqrt(250)).\nAnswer: 16*sqrt(2)\/15 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 59. Let d = x - 56. Let l be (-122)\/52 + 2 - 30\/195. What is the closest to d in -1\/7, 0.2, l?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 16. Let f be (-1)\/3*a*3. Let s be ((-136)\/340)\/(80\/(-525) + 2\/7). Sort s, -1, f in descending order.\nAnswer: f, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 + 2*n**4 + n**3 - n - 20*n - 6*n**4 + 6*n**4 as h*n**4 + m*n**2 + d*n + w + r*n**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1209 and 9.\nAnswer: 3627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -36. Let j(n) = n - 11. Let g be j(u). Solve -g - 2 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2980 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 8. Let w(z) = 3*z + 12. Let x(m) = 8*f(m) - 5*w(m). Let d = -17 - -20. Let y(g) = 3*g + 11. Determine d*y(c) - 8*x(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32811566 and 2946.\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 99 = 2*g, -3*g - 3*i = 2*g - 248. Let r(k) = -49 - 3*k + g. Let l(n) = -n. Give l(r(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 286417 rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.06 (b) 0 (c) -2 (d) 0.05 (e) -5 (f) -360\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 6*y**2 - 8*y - 4. Let i be m(-4). Let z be (-3 - i)\/((-2)\/(-18)) - -3. Calculate the remainder when 7 is divided by 17\/6 - (-2)\/z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 + 26 + -10)*(-1)\/(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -918 or -11937\/13?\nAnswer: -11937\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 12*j**3 - j**2 + 21*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/3))**(-2\/3))**(21\/2) assuming c is positive.\nAnswer: c**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2985116?\nAnswer: 2, 73, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 26, 0 in descending order.\nAnswer: 26, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*t - 33 + 9, 0 = 4*z. Let r(k) = -12*k - 2 - k + t*k. What is r(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340837649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 362, 569, 776, 983, 1190?\n\"Answer: 207*x + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:28 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 2*p**2 + 4*p + 3. Let x be s(0). What is the closest to 1.5 in -1\/6, 0.5, 2\/5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**5\/120 - 16*a**4\/3 - a**3\/3 - 18*a + 28. Let i(l) be the third derivative of c(l). Differentiate i(g) wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.81 - 1.61. Let d be ((-1)\/(-2))\/((-228)\/(-376)). Let b = d + -3\/19. Sort 2, f, b in increasing order.\nAnswer: f, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26839.73 to the nearest 10.\nAnswer: 26840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-6)*(-4)\/3. What is the units digit of ((-144)\/(-84))\/(j\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 321?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 143.4943 millilitres?\nAnswer: 0.1434943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73284418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.901077 grams in kilograms?\nAnswer: 0.004901077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007419321 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**5\/19 - 6*k**4\/19 + 2*k**3\/19 + 6*k**2\/19 - 4*k\/19 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1022 - 4020?\nAnswer: -5042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -223 (base 12) to base 7\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*d + 8*d, -31*b + 27*b + 2*d = -22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -211102101212 (base 3) to base 5\nAnswer: -103110323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 2*b + 45 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 9. Solve j*g - 17 + 2 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 23*a**2 - 1343*a - 30905. Give w(-23).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 7*y**2 - 2*y + 9. Let o be d(7). Let u be 5 + (-4)\/24 + 1425\/(-90). Sort u, o, -2 in descending order.\nAnswer: -2, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gggiigiiigig.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*s - 2. Let a be (s\/42)\/(4\/16). Let h = -16 - -15.9. Sort h, -0.5, a in increasing order.\nAnswer: -0.5, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 214272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*m**4 - 5*m**2 - 40*m - 16 wrt m?\nAnswer: 372*m**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12392377 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-721)\/21)\/((-4)\/(-1 + -3)). Let n = -67 + 102. Let t = r + n. Is t at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*y**3 - 700*y**2 - 10932*y + 2464.\nAnswer: -(y + 22)*(y + 56)*(9*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x - 238 = -60*x + 23*x for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54161 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6282.\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -422 bigger than -409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/12*3)\/((-1)\/(-88)). Let x = 50 + g. Calculate the least common multiple of 94 and x.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3826090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1*-2)\/(-6))\/((-95)\/114).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2244*j + 7006. Is d(42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*g + 4*g = 51, -2*g = -3*h + 28. Suppose -5*f + 12 = -f. Let t = h - f. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1097*o - 1. Let f(z) = 2*z + 8036. Calculate s(f(h)).\nAnswer: -2194*h - 8815493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -1\/2*o**2 - 11\/4*o**4 + 5 + 0*o + 0*o**3. Calculate a(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 184.3 + -184. What is the nearest to 0 in q, 5, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2. Let h(m) = m**3 - 2*m**2 - 2*m + 2. Let x be h(4). Let n(q) = -26 + 5*q + x. Calculate f(n(y)).\nAnswer: 50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-11)\/6 + 17\/51?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, -32, -151, -380, -755?\n\"Answer: -6*s**3 - s**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 33 - 15 = 0, -4*x - 8 = 4*o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 7\/4 (b) -1 (c) -3\/182 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 3*u + 4. Suppose 5*z + 13 = 53. Let l be (-1 - 4\/z)*-2. Give h(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*f**3 + 198539*c*f**2 + 10123980*c*f + 6*f**3 - 2*f**2 wrt f.\nAnswer: 12*c*f + 397078*c + 36*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pauraphrphjrpu. Give prob of sequence jhu.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -1. Let h(f) = 3 + 2*f**3 + r*f**2 + 2 - 3*f**3. Let s be h(8). Solve -11 = 3*o + 4*w + 2, -s*w = 20 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5845\/7515*6\/(-7)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64346189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4, -3, -2\/9, -10\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17825 + 17841. Suppose 2*u - 5*u + 2*w + 222 = 0, u = 3*w + 81. Calculate the greatest common factor of a and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.51649 rounded to 1 decimal place?\nAnswer: 17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u + 13. Let k(m) = 4*m - 13. Let a(g) = 4*k(g) + 3*s(g). Let f(x) = 4*x**2 - 4*x + 5. Let o be f(2). Suppose -10*j = -o*j. Calculate a(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a microgram in nanograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73059 - 36535 - 2*b - 36524.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -551 - -272. What is v rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26992299 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*(k*k**(5\/7))\/k)**(-5\/8)*(k\/k**(18\/5))**(-14\/5) assuming k is positive.\nAnswer: k**(7817\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -2 + 4)*15. Suppose -2*h + 0*h = n. Is ((-4)\/(-3))\/((-1)\/h) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4322001 (base 5) in base 8?\nAnswer: 217240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Solve 0 = -f*j - 3*j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6596, -13728, -20856, -27980, -35100, -42216?\n\"Answer: 2*o**2 - 7138*o + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473\/4 + 2\/(-8)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 46, 1\/4, -1\/4, 131.\nAnswer: -1\/4, -1\/8, 1\/4, 46, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + o**3 - 2 + 2*o - 3*o**2 - 4*o. What is the remainder when 49 is divided by l(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6*g - 173. Let d be f(-50). Differentiate -4*x**4 + d - 29*x + 45*x - 37 wrt x.\nAnswer: -16*x**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.02 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 54*m**2 + 37*m + 139. What are the prime factors of v(54)?\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 10:37 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 9*g - 584 = 0. Suppose -3*o + 2*k = -g, -2*k = -3*o + 2*k + 142. Suppose 10 = -8*t + o. Which is bigger: t or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 324, 319, 312, 303, 292, 279, 264?\n\"Answer: -v**2 - 2*v + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 1. Let x = -40 + 55. Suppose -13 = 4*l - 2*h - 3, a*h - x = 0. Let s(u) = -u**3 - u**2 + u - 6. Give s(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(11) + sqrt(99)\/(sqrt(9)*2) - (sqrt(704)*-6)\/sqrt(4))**2.\nAnswer: 9251\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1622317, -1622328, -1622341, -1622356, -1622373, -1622392?\nAnswer: -1622413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*r**3 - 36*r**3 + 3*r**2 - 3*r**2.\nAnswer: 93*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 4*l**2 - 6*l - 5. Let z be q(-5). Is (z + 2)*106\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 greater than -652562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1 + (-2 + 0 + 1)*(0 + 0 + 1))*(2 + 0 + 0)*(-4*u + 3*u + 2*u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 - 53?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 174811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 26.1, 4, -5, -6, 0.2, 5391?\nAnswer: 26.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 76*c - 865. Let t be f(14). Let g(m) be the first derivative of -t*m**2 + 9 - 1\/3*m**3 - 9*m. Determine r, given that g(r) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - sqrt(85)*1*3 - 2*sqrt(85)*-1)\/(sqrt(40)\/(-1*sqrt(288))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2\/7 - 1587*b\/7 - 628056\/7 = 0. What is b?\nAnswer: -264, 793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**4*u + 2*b**4 + 1234736*b**3*u + b**3 + 26*b**2*u - 11*b**2 - 87*b*u - 5*b + 3 wrt b?\nAnswer: 48*b*u + 48*b + 7408416*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133887, -267777, -401667?\nAnswer: -535557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -16 + 3\/7*v**2 + 166\/7*v = 0.\nAnswer: -56, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-33))\/(1\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**2 + 517*d + 3*d**2 - 525*d)*(-658*d**2 + 5*d + 6*d - 17*d + 6*d) in the form f + w*d**3 + n*d**2 + q*d + m*d**4 and give m.\nAnswer: -658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n = -q + 6, 2 = 2*q + 2*n. Let w(s) = s**3 + 3*s**2 - 2*s - 3. What is w(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) -1\/5 (c) 44749\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -5*(-5)\/25. Let r be 2 - k*(0 - -93). Let f = r - 128. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggccccg. Give prob of picking 4 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (8043\/(-4596))\/(-1*1*(-1)\/(-8))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147364 is divided by 1480.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/42)\/((-46)\/(-10) - (-56135)\/(-7725)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93706\/5 + -18739. Factor -y*c**3 + 37\/5*c - 4*c**2 - 6\/5.\nAnswer: -(c - 1)*(c + 3)*(11*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/47398 - -3246853\/1421940. What is the common denominator of z and 139\/108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/40 and -57\/975220?\nAnswer: 1950440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 472911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -173428136786116.\nAnswer: -173428136786116.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 + 2 + 2592132*d**3 - 2592131*d**3 - 7. Let k(q) = q**3 - 11*q**2 + 11*q - 5. Let x be k(10). Let n(j) = 1. What is x*n(m) + z(m)?\nAnswer: m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.2 (c) 891\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 + y**2 + 0*y**2)*(-1 + 2 - 2) + (-1 - 5 + 4)*(27*y - 2*y**2 - 813 + 813) as n*y**2 + m*y + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 3 + 5*r - 5)*(-2*r + 3 + 0*r - 2).\nAnswer: -12*r**2 + 10*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546940 is divided by 181657?\nAnswer: 1969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 14*v**2 - 3*v + 13. Let y(b) = -14*b**2 + 4*b - 6. Give -5*n(k) - 4*y(k).\nAnswer: -14*k**2 - k - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 7. Suppose -c*f = -m + 4, 2*m + 4*f + 12 = -0*m. Let j = m - -24. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5.4, 1\/7, 0, 4\/9, 205\/6, 0.1, 1\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45273 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9027531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1062*k**2 - 318 + 529*k**2 + 529*k**2.\nAnswer: -4*k**2 - 318","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-8)*n**(-27))**(-15\/2) assuming n is positive.\nAnswer: n**255","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -15033390.29 to the nearest one thousand.\nAnswer: -15033000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55131 + -6230?\nAnswer: -64361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103*b**2 + 3311*b?\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 2*k + 4. Let x(n) be the first derivative of -n**3\/3 - n**2 - 5*n - 4. Let p(d) = -3*v(d) - 4*x(d). What is the units digit of p(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.68 in -4, 2018, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:01 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 + 19*d - 104. Let x be n(9). Let p = 608 - x. List the prime factors of p.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 3. Let x be q(3). Suppose -2*j = -x*j + 52. Suppose 6*c - c - j = -o, 2*c - 5*o = 37. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 12. Let o = 15 + -23. Let j be z(o). Calculate the remainder when (-4)\/(140\/(-4855)) + j\/14 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 + 649\/12. Let j(r) be the third derivative of t*r**4 + 3*r**2 + 2\/3*r**3 + 0*r + 0 - 1\/60*r**6 - 1\/15*r**5. What is m in j(m) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 2. Let s be z(-2). Suppose s = -22*g + 25*g - 9. Suppose -r + p + 62 = 0, 2*p + 298 = g*r + 2*r. What are the prime factors of r?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220688 divided by -27586?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5188, -5472, -6234, -7708, -10128, -13728?\n\"Answer: -39*n**3 - 5*n**2 + 4*n - 5148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 13*p**2 - 103*p**2 - 66*p**2.\nAnswer: -156*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyb when three letters picked without replacement from vvqbyoqbppvyqy.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -15, -0.07, 2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -59*v + 6. Let d be g(-3). Suppose 0 = -4*h + 3*p - 2*p + d, h - 4*p - 27 = 0. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1014230 + -140?\nAnswer: -1014420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 3. Let l be k(3). Suppose 3*p - 12 = -5*h, -5*p + l = 4*h - 17. Let d be 2\/(-6)*(-5)\/(-15). Which is greater: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 272 = 5*p - 179, -4*y = 3*p - 265. Solve 18*b - p = -37 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 21*y + 101. Let f be q(14). Solve -8*b + 4*b + o + 4 = 0, -2*b + f*o - 8 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*s**3 - 2*s**3 - s**3 + 7*s**3 + 19*s wrt s.\nAnswer: 90*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -113, -3\/2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-15))\/(2\/20). Let z be v\/16 + (-795)\/(-20). Suppose -z = -x - 3*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((4 + sqrt(5)*-1 - sqrt(5)) + -3 + sqrt(5) + 1 - (-4 + sqrt(15)\/(-3*sqrt(6)\/sqrt(2))))**2.\nAnswer: -8*sqrt(5) + 308\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -881412 (base 9) to base 13\nAnswer: -155513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 16 = 4*u, -6*u - 9 = w - 3*u. Let r be (w - -4) + -1 + -1. Let v(z) = 2*z**2 - z**3 + 2*z**2 + 2*z - 7*z**2 - 3. What is v(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169 - 162. What is the remainder when 83 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 3*h = -59, -5*n + 7*h = 8*h - 33. Solve -b + n*c + 40 = 4*b, -c = -4*b + 17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.00919 + -0.49081. Which is the closest to t? (a) -3\/4 (b) -0.83 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1005 (base 6) to base 12.\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47533303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 8:06 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3\/4, -5.\nAnswer: -5, 3\/4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 50\/(-45) - (-2)\/(-9). What is the nearest to v in 19, 0.04, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in -2\/5, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27961*w**3 - 20586*w - 1?\nAnswer: -167766*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20139062689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -37.2*-5\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237, 412, 583, 756, 937, 1132?\nAnswer: 1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 590240, 590248, 590260, 590276, 590296?\n\"Answer: 2*s**2 + 2*s + 590236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27505456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201212200 (base 4) to base 12.\nAnswer: -67794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5 = -0*g, -2*g - 8 = 2*t. Suppose 0*d - 3 = 3*d. Which is smaller: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 252.6 + 402.5. Let k = z + -655. Put -5, 2.5, k in increasing order.\nAnswer: -5, k, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11010196 divided by -1108.\nAnswer: -9937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*3*1*(-6*-1*sqrt(1331) + sqrt(1331) + 4 + sqrt(1331) + 0)*5)**2.\nAnswer: 40550400*sqrt(11) + 4907520000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.4 - -3.67. Let z = m - 2.67. Let j = -2.3 + z. What is j rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xikkkmxhhkmommkhkmkk. What is prob of sequence ok?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10*((-52 - (-1290)\/180) + 39).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*5 + 3 + 1 + sqrt(2057) - (-4*sqrt(833) + -5 + -1).\nAnswer: 10 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*n**2 + 0)*(-12*n**2 - 17*n**2 + 22*n**2).\nAnswer: -14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -36?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 10*p - 105. Let q be y(11). Suppose -3*m = 5*a - 1640, 44*m - 43*m - 1640 = -q*a. Calculate the highest common factor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -460 equal to 3690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(15\/56) - -2)*((-66330)\/(-220))\/(-67).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -1\/12*q**5 + 1\/84*q**7 + 0 - 5*q**2 + 0*q + 0*q**4 + 0*q**3 + 7\/144*q**6. Factor v(z).\nAnswer: 5*z**2*(z + 3)*(3*z - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-15)\/280*4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0783 - -20.0183. Round v to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 2:28 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8255\/3 or 2753?\nAnswer: 8255\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46322 by 2.\nAnswer: -23161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**8\/13440 + q**7\/5040 + q**4\/6 - 2*q. Let w(j) be the third derivative of z(j). Factor w(s).\nAnswer: s**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1588692725?\nAnswer: 5, 63547709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 62111611 to the power of 1\/2, to the nearest integer?\nAnswer: 7881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71.174 + -71. Let p = 0.916 + c. Round p to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 4. Let i be z(3). Let h(r) = -2*r + 2*r + r - i*r. Let c(x) be the second derivative of x**4\/12 - x. Give c(h(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 4267276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234066 (base 8) to base 14.\nAnswer: 211b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**4\/2 - 164*p. Let a(t) = -14*t - 8. Let f(y) = 9*y + 5. Let j(d) = -5*a(d) - 8*f(d). Give j(x(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264\/60 + -5 + 1 + 106\/10 and 300.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(108)\/sqrt(4)*2 + sqrt(27))\/(sqrt(27)\/sqrt(3)*-5).\nAnswer: 18*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*h - 2*h. Let x(z) = -z**2 - 5*z + 5. Let j be x(-5). Suppose 28 = -4*k - h*w, -3*k - j*w - 25 = -0*w. Put k, 1, 0 in decreasing order.\nAnswer: 1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -239, -317, -393, -467?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 565835886 a multiple of 985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 + 298*o\/5 + 297\/5.\nAnswer: (o + 1)*(o + 297)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 27 + 13 = -103 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 12*m + 60. Let d = 107 + m. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1*-1*(-3)\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 4.83, -1\/4?\nAnswer: 4.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13827*s + 224 + 225 + 1933*s + 231 - 680)*(-14*s**2 + 3*s**2 + s**2).\nAnswer: 118940*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/24*(-5 - 3)*(-3)\/(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -43.78*-0.1\nAnswer: 4.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*a = 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -30*z**3 - 3*z - 2. Let g be j(-1). Let w = -32 + g. Let d be -6 - w*(-5 + 4). Which is smaller: d or -6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f + 7*a - 8*a, 5*f - 15 = a. Solve 0 = q, -f*y + 5*q + 2 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*g*p**2*s - g*s - 18*p**4*s + p**2*s - 357*p - 2*s + 2 wrt p?\nAnswer: 22*g*s - 216*p**2*s + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22349980 and 32814.\nAnswer: 201149820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/((-5484)\/(-914)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -89247827 - 23544\nAnswer: -89271371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12985 by -7.\nAnswer: -1855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(117)*-2)\/(-1*(sqrt(3) + 2*sqrt(3) + sqrt(3))))\/(-2*sqrt(21)\/sqrt(7) + (sqrt(12) - sqrt(3))*-2).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*a + 3*h - 2, -3*h - 9 = a. Sort 6, 2, a, 5 in ascending order.\nAnswer: a, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i + 2*i + 0*i + 3 - 3 + i + (0*i - i + 0*i)*(-1 + 2 - 2) + 0*i - 2*i + 4*i + 4*i + 5*i + i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 12. Suppose 32 = 6*n - 4*n. Let s = m + n. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/21 - (-65)\/(-7))\/((-198)\/(-2574)). What is the nearest to -6 in v, 0.5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + sqrt(68)*2)*6 + 3)**2 + 4)*-4.\nAnswer: -40948 + 4032*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27\/10 - 11\/5. Let z = -17 - -13. What is the biggest value in q, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96616 by 48308.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102883582 divided by 5?\nAnswer: 1102883582\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 83, 289, 613, 1061, 1639, 2353, 3209?\n\"Answer: d**3 + 53*d**2 + 40*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1745232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.6 take away -0.05912009?\nAnswer: 10.65912009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agd when three letters picked without replacement from afged?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 737, 5, 0.2, -2, 0.1 in decreasing order.\nAnswer: 737, 5, 0.2, 0.1, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/59 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3068 and 650?\nAnswer: 2418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 636 - 634. Let w be -2 + (0 - -2) + 3. Suppose 0*f = w*f - 9. Solve -6 = -f*n, 0 = 3*h - h - 4*n + m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + 8*q + 261 - 129 - 122 in the form i*q + h + r*q**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-15 - -6) + 7) - -18?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 0 + (-3 + 0 + 1)*(2 - 1 - 3) + 1 - 1 - 8 + (-3 - 1 + 3)*(-1 - 1 + 1))*(-5 - 12*l + 5) to k + z*l and give z.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -220315\/34 - -6477. What is the common denominator of o and -73\/8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -4\/7, 0.5, -107 in descending order.\nAnswer: 0.5, -0.5, -4\/7, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 6*k + 3270000. Let g be f(0). What is g rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1068*d + 5929*d = 1989*d - 241275 - 39173 for d.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 493015*n - 70 - 492961*n - 25 in the form r*n + c and give c.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4779 and 1053.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-12)\/(-9)*6. Let u = 7 - v. Let m be 1 - (u + 1 + -1). Solve 0 = 4*c - m*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 207778, 5\/9, 1\/6?\nAnswer: 207778","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (90\/540)\/((-13)\/36)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 36864?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12234\/21 - (-12)\/28 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 9\/2, -2\/37, 0.5, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 494284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 63 = 15. Calculate the remainder when 333 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1554 take away 150.718?\nAnswer: -1704.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*j - 457 = -853 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**5\/5 + 107*n**4\/2 - 128*n**2 - 43. What is the second derivative of s(b) wrt b?\nAnswer: -12*b**2 + 1284*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/2 + 39*m**3 - 114*m**2 + 113*m - 75\/2.\nAnswer: -(m - 75)*(m - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20526889*v**2 + 28*v - 168539.\nAnswer: 41053778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84541919 and 231.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = o - 312, 3*g + 3*o + 60 - 303 = 0. What is the first derivative of 28 - 187*p - 13 - g*p - 17 wrt p?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x + 0*x)*(5*x**2 - x**2 - 3*x**2 + (-5 + 3 + 1)*(x**2 - x + x) - x**2 - x**2 + 0*x**2).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a - 29. Let q(l) = l**2. Determine p(q(c)).\nAnswer: 4*c**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 313\/220 + -48\/55. Let g = -1\/5 - t. Let x = -9 + 14. Which is the second biggest value? (a) 1 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*g - 17. Suppose -2 - 13 = g*r. Let j = -1 - r. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4553239 - 1676761. Round t to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 - -3b?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 430899 and 68?\nAnswer: 1723596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b. Let d(l) = 6*l**2 - 2*l + 114. Determine d(r(n)).\nAnswer: 294*n**2 - 14*n + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**3 - k**2 + 8*k + 50. Let d(u) = 8*u**3 + 3*u**2 - 18*u - 97. What is -4*d(h) - 9*q(h)?\nAnswer: 4*h**3 - 3*h**2 - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*b = 0, 2*h - 2*b = -670. Which is smaller: h or -334?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17580, 17382, 17246, 17202, 17280, 17510?\nAnswer: 17922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99 - 209. What is the smallest common multiple of ((-148)\/(-222))\/(o\/114 - -1) and 9?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2 - 24536*h + 150503824 = 0.\nAnswer: 12268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 q when three letters picked without replacement from qqqzzzzzzzqqqqzz.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 120101 (base 3) in base 5?\nAnswer: 3130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36578 times 0.3\nAnswer: 10973.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-1*2\/(-4)). Let a(v) = 11*v - v**2 - 7 + 5*v**2 - 5*v**2. Is a(f) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3490*u**3 - 7011*u**3 + 3492*u**3.\nAnswer: -29*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47400000 rounded to the nearest one million?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(-3) - (-49)\/147) + 4. Solve 0 = -x*r + 2 - 6, 3*l + 3*r = -12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2553 divided by -1679\nAnswer: 111\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 2. Let u(b) = b**2 - 7*b - 5. Let x be u(7). Let i be s(x). Let q = -36 - -37. Solve 2*f - 3*m + q = 0, m - 6 + i = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2432925, -9731777, -21896541, -38927223, -60823829, -87586365, -119214837?\nAnswer: -155709251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + c + 1. Let n(f) = -5*f**3 + 18*f**2 + 6*f + 24. Let o(p) = n(p) - 6*x(p). What are the prime factors of o(-8)?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 26 = -b - 8, -3*i - 1054 = 2*b - 1069 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u - 4. Suppose 6 = -5*c + 2*c. Let d(s) = -7*s + 9. Let r(t) = c*d(t) - 5*y(t). Suppose 2*a - 4 = 3*a + 5*k, 0 = -5*a + k + 6. What is r(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111556 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 537271263 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -84*z - 3582 + 3498. Let y(x) = -2*x**2 - 4*x - 1. Let g(b) = b**2 + b. What is z*y(h) - 6*g(h)?\nAnswer: -4*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 + 2*x**4 - 2*x**4 + (15*x**2 + 5*x**2 - x**2)*(9*x**2 - x**2 - x**2).\nAnswer: 131*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452*c + 155*c + 141*c + 136*c.\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -4760\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 2*o**2 - 5*o)*(-8 - 1 + 5) + (-3*o - 2*o + 6*o)*(0*o + 0*o - 3*o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5791\/6699 - 1\/1218. Calculate the common denominator of 71\/20 and u.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9136, 12, -3\/2, 4\/3 in increasing order.\nAnswer: -3\/2, -0.9136, 4\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 35\/3, 1\/3, 3, -44, -4 in descending order.\nAnswer: 35\/3, 3, 1\/3, -0.5, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/7))**(1\/25)\/(w\/w**2)**(-1\/21)*((w*(w**2\/w)\/w*w)\/w)**(1\/28)*(w**1\/w)**(44\/7) assuming w is positive.\nAnswer: w**(1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -74420, 0.28, 3 in decreasing order.\nAnswer: 3, 0.28, -74420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/5)\/((g**(-2\/19)\/g)\/g*g)*(((g*((g*g**(-2\/3))\/g)\/g)\/g)\/g)\/g**(2\/9) assuming g is positive.\nAnswer: g**(-1696\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 213, 4, 31, 1 in decreasing order.\nAnswer: 213, 31, 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1129272826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49045*y - 754 = -49043*y + 54*g, 5*y = 3*g + 47 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 28 = -4*o, -3*o - 2*a + 20 = -1. Let k = 276 - 245. What is the remainder when k is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8 + 16 = 0. Suppose 5*g = 2 + p. Suppose -3*h = 2*r - 3, r + 2 = g*r + 2*h. Which is the second biggest value? (a) r (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -86. Calculate the remainder when 384 is divided by ((-2)\/(4\/(-14)))\/(u\/(-627)).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 8:47 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 654082?\nAnswer: -65407a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 7 + (0 + 2 - 4)*(-2 + 3 - 3) + 0 - 1 + 0 + 2 + 5 - 6 - 300 + 156 + 161)*(a + a - a) as o*a + k and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1550266 (base 7) to base 5\nAnswer: 23320320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -7. Let g be 0\/(-2*3\/l). Factor -2*v**3 - v - v + g*v**3 + 4*v**2.\nAnswer: -2*v*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100021.\nAnswer: 13, 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 108?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:45 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from adaadadjddddddddadj.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/22, -6, 1\/8, -2\/21, 1\/7, -17?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 5 = u. Suppose -5*l = -r - 174, u*l - 4*r - 50 = 2*l. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((102\/36)\/17)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -57204970.4 rounded to the nearest one million?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**8\/336 - q**7\/70 + q**6\/40 - q**5\/60 + q**2. Let l(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2558*c - 1389*c + 3948*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 0 + 0 + (-3 + 3 + 2)*(-f**2 - 3*f**2 + 3*f**2) + 5*f**2 - f**2 + 9*f**2 - 23658*f**2 + 11831*f**2 + 11829*f**2 - 2230)*(f**3 + f**3 - 3*f**3).\nAnswer: -14*f**5 + 2230*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 2. Let h(k) = 44*k**2 - 32*k - 32. Let b(y) = -49*y + 3*y - 4*y**2 + 2 + 49*y + 1. Determine j*b(t) - 3*h(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/360 - 53\/212)\/((-4)\/3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2258?\nAnswer: -3\/2258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d - 42*d - 32*d in the form p*d + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4733*i*m**5 - 106*i*m**4 - 5*i*m**2 - 43*i + 120*m**2 wrt m?\nAnswer: 283980*i*m**2 - 2544*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735179?\nAnswer: 29, 101, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 - 4*o**2 - 6*o - 9. Let b be g(6). Let a = -152 + b. List the prime factors of a.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 15 + 34 - -9.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15624\/11 or -1419?\nAnswer: -1419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 12:20 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19\/106 - 2\/159. Find c, given that -1\/6*c - 1\/6*c**4 - 1\/3 + 1\/2*c**2 + w*c**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c + 4. Suppose 3*z + p - 5 = 0, -12 = -5*z + 6*p - 4*p. Let n(o) = o - 1. Let v(x) = z*q(x) + 10*n(x). Is v(-4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 0, 8*o - 5*d - 50 = 13*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -27. What is the tens digit of p + -3 - (868\/(-7) - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 5 - 5)*(-34*j**2 + 5 + 16*j**2 + 16*j**2).\nAnswer: 4*j**3 - 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 660*w**2 - 5. Let n(h) = -2552*h + 7649*h - 2548*h - 2551*h. Determine n(m(v)).\nAnswer: -1320*v**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 98190 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 25c551b?\nAnswer: 25c5516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*w + 4. Let y(r) = 13*r - 2. Does 18 divide y(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15978 - 12623 = -37*m. Suppose 7*l - m = 4*l - 5*i, i - 1281 = -5*l. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(2\/9)))\/(q**2\/q))\/(q\/(q**(-2\/9)\/q*q)*q*q**(-1\/5)*q) assuming q is positive.\nAnswer: q**(-191\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1.9 (c) -15228\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25774, -25178, -24582, -23986?\n\"Answer: 596*d - 26370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 39 + 37. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-785404)\/(-50) - (-642)\/(-8025)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/85)\/((-1)\/((-3)\/(-168)*14))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4148200*f**2*j*t**2 - f*j*t + 4184*f*t**2 - 6 wrt f.\nAnswer: -8296400*j*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -154, -614, -1382, -2458, -3842, -5534?\n\"Answer: -154*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 13*q + 2*q)*(-2*q - 2*q + 5*q).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 645223 and -0.02.\nAnswer: -12904.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 5:16 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -90196, -90231, -90266?\n\"Answer: -35*y - 90161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 945 and 4130?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/1*(22 + -27). Solve -7*o + d + 16 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.22, 2, -0.3, 1\/2, -7359, 279\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 87161.\nAnswer: 2\/87161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 12:10 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 23*s + 16. Suppose 10*n - 44 = 6*n. Let z be g(n). Solve -z = w - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1435099?\nAnswer: 103, 13933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8329, -33214, -74705, -132814, -207553, -298934, -406969, -531670?\nAnswer: -673049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**3\/3 - 18. Let m(x) = -3*x. Calculate m(q(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2379*x = 294 - 7850 + 10810 + 18157 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -531, 0.0787, 1\/3, -3\/4 in increasing order.\nAnswer: -531, -3\/4, 0.0787, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbhbxbhbbbxxbbhxlbb. Give prob of picking 1 x and 1 l.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 48 = 22. Let f be (6 + -7)\/((-3)\/63). Let v be (-326)\/c - 6\/f. Solve -v = 5*i + r, 0 = -2*i - 0*i + 5*r - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times 0.2881\nAnswer: -0.031691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31229861 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*l + 30*l - 20*l**2 + 21*l**2 - 3 in the form w*l**2 + a + p*l and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182.808 + -231.46. Round l to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 5*a - 180. Suppose 4*g = -3*l + 137, g = -2*l - 3*g + 90. Suppose 4*w - l = 1033. Calculate the highest common divisor of a and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*q + 468 = -11*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4 + 2 = -2*x, 9 = -3*x. Suppose -2*b + b - 310 = f. What is b rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 189.745 * 2.\nAnswer: 379.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1608.99 in -3\/7, 4, -0.3, 3\/8, -0.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22942620 and 0.12.\nAnswer: 22942620.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**3 - 3*n**2 + 5. Let c(f) = f**3 - f**2. Let d(o) = -4*c(o) + v(o). Let j be d(0). Solve j*s - 35 = -10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-155)\/465)\/(2\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9507.7692 milliseconds in days?\nAnswer: 0.000110043625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 765 = v, -2*v = -5*v - 15. Suppose 21*o - 2525 = -r. Is 112 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -30626239.544?\nAnswer: -30626241.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 g, and 1 s when three letters picked without replacement from {z: 2, n: 7, g: 3, s: 3, y: 4}?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -482 or -490?\nAnswer: -482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, u: 1, d: 4, w: 5, x: 2}. Give prob of sequence wu.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3 - 18. Suppose -2*i + 3*i = -p*d - 8, 36 = -i + 2*d. What is the common denominator of 3\/(-12) + 143\/i and 47\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3008*n - 1396. What is the units digit of t(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0*o**3 + 1\/4*o**4 + 0*o**2 - 1 + o. Let z(y) = 32*y**2. What is t(z(k))?\nAnswer: 3072*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3100 = -2*k + 5*j, 5*j = -k + 1538. Suppose -k = -17*p + 9502. List the prime factors of p.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -40. Suppose -6 = -r - w. Solve 1 = -i + r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 + 11 = 0. Suppose 4*p - 9 = -3*j, 2*p = -s*j - 0*p + 29. Let a(u) = u + 2*u - 4*u - j*u - 1. What is a(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a*a*(a*a**(2\/9))\/a)\/a))**(-49))**(-38)\/(a**(-2)\/a**(3\/2)*a*(a\/((a*a*a\/a**(1\/4))\/a)*a)\/a*a**6) assuming a is positive.\nAnswer: a**(-82027\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 493816*h**2 + 493814*h.\nAnswer: 2*h*(h + 1)*(h + 246907)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = t - 1015. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1923*s**3*v*w - 2*s**3*w + 1402*s**3 - s**2*v + s**2 + 126455*s*w - 9*v wrt s.\nAnswer: -11538*v*w - 12*w + 8412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - z**2 + (-2*z - 4*z + 4*z)*(3*z - 4*z + 0*z) + z**2 + 1 - 1 - 18*z**2 + 5*z**2 - 17*z**2.\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010179368538 rounded to 7 dps?\nAnswer: -0.0001018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j + 2. Let m be (21\/210)\/(8\/60). Is m bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (1 + 0 - (11 + 2))) + -4 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 - -31 - 52 - -43.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -535\/276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1917968.\nAnswer: 2, 13, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -10.94.\nAnswer: -9.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 20*i**2 + 664*i + 640.\nAnswer: -4*(i - 16)*(i + 1)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81459857?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = z - 2. Let x = z - 39. Calculate the remainder when 34 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 j, and 1 x when three letters picked without replacement from jejojxoeoojxojku.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -429, -549, -579, -513, -345, -69, 321?\n\"Answer: v**3 + 39*v**2 - 244*v - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1028645?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0178 or 45?\nAnswer: -0.0178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 4*h + 6*h)*(2*h + 3 - 3) + (3*h**2 - 5*h**2 + 3*h**2)*(-1 - 3 + 2) + 0*h**2 + 3*h**2 - 4*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/16, -0.5, 4.58, -0.2, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*s**3 + 33*s**3 - 73*s**3 - 2)*(9 + 4 + 3) as g*s**2 + h*s + l*s**3 + n and give l.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 8*a**2 - 8. Let p = 1 + -7. Let x be u(p). Suppose -x = -2*w - 2*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-238106)\/10549*(-7)\/2.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 6:26 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, w: 10}. What is prob of picking 1 w and 1 f?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*z = -5, d = 3*d - z - 3. Suppose -4*t + 4 = d*q - 94, q = -4*t + 101. Suppose x - t = -x. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16154.8 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/(-92))\/(54\/(-16)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t - 40. Let f(x) = 3*x + 27. What is 5*d(y) + 8*f(y)?\nAnswer: -y + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20434*m + 16 = -2*l + 20443*m, 3*m = 2*l + 16 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 16296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/39 and -79\/147?\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -15*p**2 + 5*p + 1. Let o(z) = -26*z**2 + 11*z + 2. Calculate -7*i(x) + 4*o(x).\nAnswer: x**2 + 9*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3182*s + 60426. Give h(19).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111011111110011101 (base 2) to base 9.\nAnswer: -413876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.09 - 22. Let o = t - -0.91. Is o smaller than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -23*q**2 + 6986*q - 46041. Determine w(297).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from mqwkzcq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 85*l**2 - 1387*l + 16. Let s be q(14). Let 0 + 3*v**s + 7\/2*v - 1\/2*v**3 = 0. What is v?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**2 - 1085157180*w - 58878305265277620 = 0.\nAnswer: -108515718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -201 + -15.91.\nAnswer: -216.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + 582 - 582.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c - 5. Let d(q) = -5*q - 8. Let g(j) = -5*d(j) + 8*i(j). Let a(p) = 10*p**2. Calculate g(a(f)).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4187\/5 or 838?\nAnswer: 838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -55, -2, 5, -6.1, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 12*d + 52 = 0. Suppose -d*h = 59 - 73. Let g be 1 - 2 - 2\/(-1). Calculate the greatest common factor of g and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 - 4*i - 3. Let p be r(-1). Suppose 3587 = m + p*x, 3733 - 156 = m + 5*x. Suppose -57*a + m = -55*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*y + 8, -2*b + 6 = 3*y. Let s = -4 - -2. Are b and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -902470, -902461, -902450, -902437?\n\"Answer: f**2 + 6*f - 902477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42695967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -16. Suppose -b + 30 = 4*i, -5*b = 3*i + 2*i - u. Sort 1, -1, -4, i.\nAnswer: -4, -1, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence loe when three letters picked without replacement from oloeolo?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19927\/6224 - 11\/778. What is the common denominator of l and (-23370)\/3936 - 3\/(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*w - 9*w. Calculate the remainder when 4 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnhhelnlhssnlnsesnss. What is prob of picking 1 n and 2 s?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h - 3*y - 36 = -7*y, 5*y + 17 = -6*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1259513, 1259546, 1259629, 1259786, 1260041?\nAnswer: 1260418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*x = 98, -4*x + 7*x - 34 = r. Let v(o) = o**2 + o + 3. Let i be v(5). Let s = r + i. Solve -4*c - s = -4*z + 5, 4*c = 3*z - 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1007, 1012, 1017, 1022?\n\"Answer: 5*u + 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3197130117?\nAnswer: 3, 1065710039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47637.\nAnswer: 3, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*p + 0*p + p)*(-5 - 8*p + 5) + 77 + 11*p**2 - 77 as q*p**2 + i + g*p and give q.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**3 - 19*z**2 + 6*z + 5. Suppose -3*y + 4 = 3*m + 13, 0 = -5*m + 3*y - 55. What is the units digit of u(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 20*c - 14*c. Solve i**4 - i**c - 6 - 2 + 8 = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10088566800 to the nearest one million.\nAnswer: -10089000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 7 + 17. Let i = -6 + p. Suppose 2*b = -b + 3*t + 48, 6 = i*t. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**5\/60 + g**4\/24 + 11*g**3\/6 + 3*g. Let v(u) be the second derivative of k(u). What is v(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(13) + 0 + sqrt(13))*-6 + (1 + sqrt(13) - sqrt(13)) + 5.\nAnswer: -18*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1798022 divided by 2?\nAnswer: -899011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*g**2 - 605 + 6*g**4 + 5*g + 1223 + 17*g**3 - 618 wrt g?\nAnswer: 144*g + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 17 = 5*r, -n - 4*n + 2*r = -20. Suppose 2*y - 484 = 6*h - n*h, -2*y - 5*h = -448. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.057, 306, 2\/5 in decreasing order.\nAnswer: 306, 2\/5, 0.057, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2715.6 - -2715.5. Which is the closest to p? (a) -1 (b) -33 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((64\/160)\/(-2*(-1)\/10))\/(247\/(-8645))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 34 - (2 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x + 667*x - 247 - 438 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3393 is divided by 1312.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 331877804663?\nAnswer: -331877804662.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 54.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 + 5.1. Let h = -7005 - -7005.4. What is the second biggest value in d, -1, h, 3\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -10*h + 550. What is the remainder when ((-276)\/10)\/((-44)\/h) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209001691 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25112 (base 7) in base 15?\nAnswer: -1e35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 8 + -7 - 6) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6978 in -0.3, 2, -0.5, -0.14, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 8:40 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - 66. Let b be 1 + -4 + (l - 2). Suppose -3*g + g - 3*y + 5 = 0, 3*g - 5*y = 55. Solve b*w - g = -5*q, -4*q + 2*q = 5*w + 17 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*j + 36, -4*u + 0*j - 5*j + 27 = 0. Suppose -3*y + 72 = -3*h, 4*y + 3*h = h + 102. What is the remainder when y is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30536681 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3 + 16\/5*c**2 - 1\/5*c**4 + 0*c + 0 = 0. Calculate c.\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -2.446\nAnswer: -39.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0 (b) 2\/1285 (c) -239 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -30*k**2 + 60*k**2 - 33*k**2. Let a(w) = w**3 - 2*w**2 + 4*w - 2. Let p be a(2). Let t(c) = 3*c - p*c + c. Determine j(t(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 400*g - 11190. Determine d(28).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194816 is divided by 340?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16894 - -16908.731. Let t = 0.069 + o. Round t to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 33*l - 4. Is 19 a factor of p(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3669208?\nAnswer: 2, 458651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*m - 1197 + 2605 = 0 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d34c5 + 10?\nAnswer: -d34b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -13. Let t(c) = -18*c - 19 - 13 - 24. What is the remainder when t(-6) is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2342890523?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-24\/7)\/(d\/((d**7\/d)\/d*d)) assuming d is positive.\nAnswer: d**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b = 6 + 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/4)\/((4134\/52)\/53)*96\/(-40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = m + g, 25 = g + 4*g. Solve -3*z - 1 = -m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = o, -4*o + 19 = -o - 4*q. Suppose o*f - 21 = 9. Solve -x = -f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5528 or -4258?\nAnswer: -4258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432 = 49*q - 89 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*d - 2*x - 2, -5*d - x + 11 = 0. Suppose -3*o + 4*o = 2*m + 429, 0 = 4*o - d*m - 1704. What are the prime factors of o?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 11. Calculate the smallest common multiple of (-29)\/(-2) - 1\/2 and p(6).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -86. Suppose -d*a + 942 = -774. Let p be 97 + (0\/1 - -2). Calculate the highest common divisor of a and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8 - 36*l**3 - 5 + 4*l**3.\nAnswer: -32*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -35318 to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 12. Let r(n) = -n**3 - 13*n**2 - n - 9. Let s be r(-13). Suppose -s = -4*z - 44. Let w be a(z). Solve u + 5 = w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-238)\/51*18\/(-4). Let j be ((-6)\/(-4))\/(t\/14). Suppose 0 = -r + 4 + j. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181517099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 23*y + 103. Determine l(-19).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 8*d - 4. Let c(a) = a**3 + 10*a**2 + 19*a - 7. Let j be c(-6). Let p = 34 - j. Suppose 8*u + p - 75 = 0. Determine w(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 109945.\nAnswer: 5277360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 93499816957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*z - 2*p - 3*p, 0 = 4*z + 4*p + 24. Let b be 72\/(-15) - z\/(-5). Let w = 6 + -6.4. What is the third biggest value in -3, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - -0.1. Put 4, y, -2\/9 in decreasing order.\nAnswer: 4, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/4)*i**12*(i*i**(-4)\/i*i)\/i*i\/i**(2\/11) assuming i is positive.\nAnswer: i**(355\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 181, 173, 161, 145, 125?\n\"Answer: -2*z**2 - 2*z + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-272)\/16)\/(-238))\/(7\/(-112))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 0 - (-4 - 2). Suppose c = -g + 12. Let v = 287\/3 + -96. What is the closest to v in -5, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-10))\/(6\/(-10)). Let k = -0.3 + 1.3. Let p = -34536 + 34541. What is the nearest to k in m, p, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 229730 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 25 = -23*n - 19*n + 38*n, 0 = 5*n - 11*x + 9*x + 28 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -790910*t - 10. Let o be k(-11). What is o rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 6*w. Let d be y(5). Let o = -101 - -98. Put -1, o, d in descending order.\nAnswer: -1, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2430 = -236*z + 7150 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.17 and 10.\nAnswer: 41.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-3)\/(579\/4246)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - t + 3 = 0, -3*y + 0*t - 5*t - 2 = 0. Let q = 2 + y. Suppose -28 = -q*n - 4*i, -3*i + 54 = 3*n + 2*n. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115150451, -230300901, -345451351, -460601801, -575752251?\nAnswer: -690902701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/3696 and 15\/44.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (51 - 31) + -21 + 18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -3*c**2\/2 + 943. Let x(h) = -29*h + 2. Give x(b(p)).\nAnswer: 87*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 15*h + 119. Let q be o(-8). What is the third biggest value in q, -5, 71?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 15708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75036?\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 109 + 3 + (-117 + 116 - (1 - 7) - 12)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t + 5. Let p be v(12). Let n = 45 + p. Let z be 1\/(-3 + n)*0. Solve z*w - 5*d = 5*w - 20, -4*w + 4*d = 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2163 a factor of 177967314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 312 and 520?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**3 + 39*u**2 - 18*u.\nAnswer: -3*u*(u - 6)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5809 + -5809.07. Put -4, -0.02, -3, -2\/9, d in descending order.\nAnswer: -0.02, d, -2\/9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 r when three letters picked without replacement from iriiiiii?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (3 + -1) - -14. Let x = 24 + h. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44530 is divided by 14837?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3. Suppose m = -u + 4*u - 108. Let p = -27 + u. Solve -4*y = -y - p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6075.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/142 (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1 + -6 + 2418\/(-702)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (3 - (-2 - -5 - 8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.27, -5, 8746, -2 in ascending order.\nAnswer: -5, -2, 0.27, 8746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24023\/16290 - 43\/905. What is the common denominator of -111\/10 and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1103.485 - -15063.3585.\nAnswer: 13959.8735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -5*d + 3*d. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/24)\/((-1120)\/(-4984)) and 38\/135?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 45, 4, 5378, -1, -5 in descending order.\nAnswer: 5378, 45, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26318 * 0.4.\nAnswer: 10527.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31330838.8 rounded to the nearest 1000000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(3520) + sqrt(55) + sqrt(55)))\/(-5*sqrt(20))*6.\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 1.5379.\nAnswer: 7.6895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1917338459 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6*f - 8, 2*p - 3*f - 14 = 0. Let g = 12 - p. Suppose -2*o + 3*k + 33 = 0, 0 = g*o - 0*k - 4*k - 38. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 15*v - 5. Let p be a(-5). Let s(q) = -21 - 2*q + p - 24 + q**2. Give s(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2971, 0.3, -18, -5, -3, 1\/2 in decreasing order.\nAnswer: 2971, 1\/2, 0.3, -3, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332022 is divided by 90?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4825*z**3 - 16*z**2 - 15*z?\nAnswer: 28950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - u = 4*h - 32, -9 = 3*u + h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o*o**(-21)\/o*o*o*o)\/o)\/o**(1\/9)*o*o**(-33)*o*o\/(o\/(o*o**(-10\/3))))**(-1\/21) assuming o is positive.\nAnswer: o**(454\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n - 155*n = -57*n - 2170 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q. Let n(v) = -v**3 - 2*v**2 - 3*v - 2. Let z(m) = 5*m**3 + 9*m**2 + 13*m + 9. Let d(s) = -9*n(s) - 2*z(s). Give -d(j) + r(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.89 and 72.39.\nAnswer: 209.2071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*j - 25 = 0, w + 24*j + 5 = 26*j. Solve 2*u = 4, -4*o - u = -w*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 6*f + 28. Suppose 6*u = f*u - 21. Solve -10 - 8 = -2*m - 2*a, 4*a = -m + u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (10\/65 + (-1831026)\/(-156))\/((-6)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434*d**2 + 6576*d\/5 - 198\/5 = 0. What is d?\nAnswer: 33\/1085, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 597.705 + -597. Round u to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1.8 (c) 0.027 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 - 60*q**3 + 49*q**3 - 1239*q**3 + 2*q**2.\nAnswer: -1250*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x + 6. Let z be u(-3). Let l(t) = -t + 11. Let f be l(12). Let j = f - z. Solve 0 = 4*h - j*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35 + -3?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-13*s + 5*s - 18*s).\nAnswer: -52*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145 + (-130 - -43 - 139).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 9:57 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**4\/24 + d**3 - 41*d**2\/2 + 31. Let n(i) be the second derivative of w(i). Let h(b) = b + 7. Determine 6*h(z) - 7*n(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 + 1 = 0. Let t be ((-2148)\/(-70) - -3) + 14\/(-49). Let q = t - 683\/20. Which is the second biggest value? (a) g (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 - 28*r - 4. Does 14 divide q(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 1\/4 (b) -3\/5 (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*m**2 - 51 - 23 + 74 in the form b + k*m**2 + f*m and give k.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxulxxuuxluul. Give prob of sequence uxx.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 182456 times 4\nAnswer: 729824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(99)*4)\/sqrt(9))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/(213\/(-284)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2443431*z**2 - 1220135*z**2 - 1221186*z**2.\nAnswer: 2110*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*l**5\/6 + 170*l**4\/3 + 1235*l**3\/6 + 250*l**2\/3 - 70*l = 0. What is l?\nAnswer: -7, -6, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from tbtbtttbtb?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times 5?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -299764 + 3469764. Round j to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 10*v + 3. Let g be s(5). Suppose 3 = -u + w, -2*u - 2*w = 2*u. Calculate the remainder when 10 is divided by (-5)\/u - (-4 + g).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 2*p - 1. Let c be m(-1). Suppose -2*b = 0, 3*a + b = -c*b - 6. Let q be a\/3*(-3)\/(-17). What is the second smallest value in q, -1, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 1ab51?\nAnswer: 1ab51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/93 - 193\/651. What is the nearest to a in -3, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1022, -2002, -3194, -4598, -6214, -8042?\n\"Answer: -106*f**2 - 662*f - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/(-8)*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13990*s = 13924*s - 462 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 10 = 2*l, 3*l - g - g - 15 = 0. Let p = -16 - -27. Suppose -d - u + 1 - 4 = 0, 5*d = -u - p. Put l, d, -5 in descending order.\nAnswer: l, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763257099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -31. Let g = 12 + -8. Suppose -g*h = o*u - u - 45, 0 = u + 5*h - 48. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 9 - 14 - 12*g**2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 178, -223, -1\/4 in ascending order.\nAnswer: -223, -1\/4, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103911 or -103910?\nAnswer: -103911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14466 and 1440.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*y + 335*y - 14110. Solve y*d = -11 + 181 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92 (base 14) to base 9\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/4)\/((-15)\/6))\/(6\/(-60)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134001261.\nAnswer: 3, 14889029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(18 - 18 - 2*s) + (-1 + 5 - 3)*(3*s + 1 - 1).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jddddqjddqdd. Give prob of picking 3 d.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4110620 is divided by 146.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 2799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*d + 27, 3*t = t - d + 31. Solve 4*f + 4*j = 5*j + t, 0 = -f + 4*j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -190? (a) -4 (b) 5 (c) 4482\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*d - 103*d**2 - 79*d + 159*d + (0*d - 4*d + 3*d)*(0 + 0 + d))*(-d**3 - 3*d**3 + 2*d**3).\nAnswer: 208*d**5 + 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(1 + 2)*-2. Let j be (d\/(-15))\/(2\/(-10)). Sort 2, 1, j in decreasing order.\nAnswer: 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q + 2*q + 0 - q**2 + 1 - 2.\nAnswer: -(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**2 + 12 + 10 + 11 + 168*l - 39 + 8 as o + y*l**2 + k*l and give k.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**7\/280 - q**6\/360 + q**3 - 1. Let u(r) be the third derivative of s(r). Find the third derivative of u(o) wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 + 14*i - 2. Let x be q(-3). Let c = 37 + -35. Suppose 5*k - 86 = -j, c*k + x = k. What are the prime factors of j?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/28)\/(-3)*(8 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 4*o + 3. Let y be z(-4). Let w be (-1 + y)*(-1 - 0). Suppose 5*j + 21 = 4*q, 0*j - 4*j - 5*q - 25 = 0. Sort w, j, -3 in decreasing order.\nAnswer: w, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 13. Let o be q(13). Suppose -3*l + 15 + 231 = o. Suppose -3*s + s - d + l = 0, -s = -2*d - 41. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -4 (c) -0.4 (d) 2\/3 (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13936, -13942, -13948?\nAnswer: -13954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + -31 - ((-13 - 1) + 4)) + (2 - 80).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 77, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3*s = -3, 0 = 3*u - 5*s + 1 - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3760 + -3819 - (1 - 18).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*n + 10*n**2 - 6*n - 8*n**2 - 53*n.\nAnswer: 2*n**2 - 170*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (88\/110)\/(5\/(-10))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 + 4)*(-3*l + 4*l + 6*l) + (4*l - 2*l - l)*(3 - 5 + 3).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -576 + 576.3302. Let u = -0.302 + q. What is u rounded to 3 decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -16164*y + 112. Let d(v) = -1796*v + 12. What is 28*d(r) - 3*x(r)?\nAnswer: -1796*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-2 + (4 - (2 + 1)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (18\/4)\/((((-147)\/(-21))\/35)\/(4\/6))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/4)*m**(-2\/15)*(m**1)**(-2\/5)*(m**(2\/5))**19\/((m\/m**(2\/3))\/(m*(m*m\/m**(-4\/5)*m)\/m)) assuming m is positive.\nAnswer: m**(617\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -2*z**3 + 133. Let u(d) = -5*d**2 + 3*d**2 + 0*d**2. Determine l(u(i)).\nAnswer: -24*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3339 - x + 6658 + 32*x**2 - 3322 as t + q*x**2 + p*x and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1353297, 2706595, 4059893, 5413191, 6766489?\nAnswer: 8119787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3080774643.\nAnswer: 3, 13313, 77137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {q: 4, w: 3, y: 3, d: 2, a: 1, x: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 2*b + 4. Let k(w) = -w + 1. What is -2*k(f) + r(f)?\nAnswer: -2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + -1 + -10341 + 10342.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -2. Let a = -148 + 146. What is the closest to p in a, -1, -5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -1. Let r(i) = i**3 - 3 - 2*i**3 + k + 4*i**2. Let h be r(4). Is 1 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57\/20 + -11\/60. Let h(d) be the first derivative of 0*d**2 - 4\/5*d**5 + d**4 + 4 + 0*d + n*d**3. Factor h(j).\nAnswer: -4*j**2*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + h**2. Let w be -1 - -3 - (-1 - -10). Let m = w + 7. Calculate s(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 + 4*c**2 - 101*c - 41. Let n be u(-8). Sort -6, n, 56 in descending order.\nAnswer: 56, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-8)\/g))\/(g\/g**14))\/(g**(-8)\/(g**10\/g)) assuming g is positive.\nAnswer: g**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmpvwzmmzzmwlwzlwl. What is prob of picking 1 l, 1 z, and 1 p?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -7*y**3\/3 + 33*y. Let t(p) be the second derivative of -p**4\/12 - 6*p. Determine t(i(f)).\nAnswer: -196*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g. Let r(w) = 20*w. Let k(j) = -6*r(j) + 17*v(j). Let y(p) be the second derivative of 0*p**2 + 0 + 0*p**3 + 7\/4*p**4 + 2*p. Determine y(k(c)).\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5199 (base 12) to base 4.\nAnswer: 2023011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + 3.3. Let k = -19\/8 + 421\/184. Let c = 72232\/45 - 14450\/9. What is the third biggest value in b, c, 0.14, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or 100\/11?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuwmwyww. What is prob of sequence uwm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 2:23 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19367 + 12767. Round n to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26\/19 - -385\/323. Let t = 808\/51 + j. Find the common denominator of t and 69\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -1. Suppose 0*x - 3*x - 5*i = -24, -a = 2*x - 5*i. Let y(g) = g - 3. Let o be y(x). Sort 4, o, -5 in decreasing order.\nAnswer: 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, -0.119, 39 in decreasing order.\nAnswer: 39, 4, -0.119, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9691, -9694, -9707, -9736, -9787, -9866?\n\"Answer: -b**3 + b**2 + b - 9692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19140840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -482*i + 1047*i - 457*i - 1188 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (3 + -3) - (1 - 9) - (-121 + 68)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 3*l + 26. Let q be j(-7). Let m = -3 - -6. Which is the closest to q? (a) m (b) 4\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1212*n = -526*n - 600*n - 516 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, 15, 1, -34\/7.\nAnswer: -34\/7, -0.4, 1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.6 - 4.6. What is the closest to -6 in -3\/2, 0.5, i?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Let l = -12 - -21. Suppose -z = -o - l. Solve 6 = -w - w + 4*i, -2*i - z = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h = -29*h + 384. Suppose q = 12 - 3. Calculate the lowest common multiple of h and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000060748 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -25*f - 6. What are the prime factors of g(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 10 = -2*v - 20, -u = 4*v - 2. Put -18, -3, u in ascending order.\nAnswer: -18, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-41)*2 + 74267\/6619450)\/(18\/5).\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + 10)\/(2\/10001). Let a be (-56)\/(-20) + -3 + q\/5. What is a rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -111111?\nAnswer: -111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 22*i + 7. Determine p(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205024.\nAnswer: 2, 37657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 4*d = -c - d + 991 - 990, 0 = 5*c + 2*d + 43 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*n - 24 = 196*n, 4 = 5*i - 0*n + 2*n + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62*c*q - 2*c - 3*q - 53 wrt c?\nAnswer: 62*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2000 = -12*y - 1856 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*u + 3*s + 16, u = 3*s - 8. Suppose 4*c = -t + 13, -u = -2*t + c + 4. Solve -t = -3*x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58.83 + 58. Let v = -1.33 - f. Which is the nearest to -1? (a) -5 (b) 0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 11:01 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21607790 or -21607791?\nAnswer: -21607791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29220976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 11:36 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2546952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -v - 0 - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 9741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6176 and 608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, 26, -3 in descending order.\nAnswer: 26, -3, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2613.5 + 2054. What is v rounded to the nearest 10?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560025886 to the power of 1\/3, to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1023 + -24505?\nAnswer: -23452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*w + 429 = 702 + 627 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 0*m**5 - 11\/10*m**6 + 43\/6*m**3 + 1\/6*m**4 + m + 0*m**2 + 5. Find the third derivative of h(l) wrt l.\nAnswer: -792*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p**3 + 1. Let h be a(1). Let u(v) = -v**2 - 2*v - 7. Give u(h).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1194\/135431?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12)*s*s**1)**(-1\/15)\/(((s**(-3)*s)\/s*s*s*s**(6\/5)*s*s*s)\/((s\/(s*s\/(s*(s*s**(-2\/5))\/s*s*s)*s*s))\/s*s**(-9))) assuming s is positive.\nAnswer: s**(-194\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4322 (base 5) to base 4.\nAnswer: -21023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 257255*q**3 + 0 + 514511*q**3 - 257247*q**3.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/1631385 and -103\/51790?\nAnswer: 3262770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 102 and -54.\nAnswer: -5508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5179\/3 + 1699. Suppose c - 15 = 5*f - 2*f, 2*f + 127 = 5*c. Let v = s + c. Which is bigger: -2\/15 or v?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, a: 1, p: 2, c: 2, w: 5}. Give prob of sequence pc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1119 divided by -11.\nAnswer: 1119\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 8*f + 5. Let t be o(6). Suppose -t = -2*q - 7. Let b = q - 1. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 (base 14) in base 3?\nAnswer: -200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/6 (b) 0.2 (c) -0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -122\/155 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 55 = 397. Let l = -22 + o. Suppose x + 3*x - 3*s = l, 3*s = 3*x - 69. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13 - (-8)\/(-2))*1. Let t = 9 + u. Let d(b) = b**3 - 7*b**2 - 2*b + 32. Let i be d(7). Calculate the greatest common divisor of t and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -115 - -117. Calculate the highest common divisor of r and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -392*m**4 + m**3 - m**2 - 16*m + 26?\nAnswer: -9408*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 11*m - 5. Let k(z) = 11*z - 4. Let q(v) = 4*g(v) - 5*k(v). Let u(c) = 4*c**2. What is u(q(j))?\nAnswer: 484*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 684 - 8890\/13. Let z = -0.003 + 0.103. What is the nearest to z in 0, 10, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**2 + 2. Let c(q) be the first derivative of 0*q + 5 + 0*q**2 + 2\/3*q**3. What is v(c(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20210202012 (base 3) to base 9\nAnswer: -223665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + x + 1. Let c be i(2). Let u = 22 + -46. What is the tens digit of ((-2)\/(-4))\/(c\/u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 975.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (12 + -7) - (-21 + -45 + -12 + 2)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -35. Let d = 6 - 6. Find b such that 4\/3*b**2 + 2\/3*b + v - 2\/3*b**5 + d*b**3 - 4\/3*b**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(55)\/(sqrt(180) - sqrt(5))))\/(-5*sqrt(1152)*-3).\nAnswer: sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6763 - -6770. Solve b*z - 43 = 4*d + 12*z, -5*d = 2*z + 24 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -3*n - 1\/120*n**6 + 1\/12*n**4 + 0 - 5\/6*n**3 + 5*n**2 - 1\/20*n**5. Calculate q(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (52\/(-40) - -1)\/(6\/8). Which is the closest to 0? (a) -2 (b) q (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 10 + 3 + 9. Let a(c) = -3*c + 46. Determine a(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -329, -2\/11, -4.3?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v**2 - v - 3. Let n(u) = -5*u**2. Let h(f) = 2*d(f) + 4*n(f). Let a(o) = 3*o**2 + 3*o + 7. Calculate 5*a(w) + 6*h(w).\nAnswer: 3*w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 395275 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - 401*q - 11032.\nAnswer: -(q + 28)*(q + 1576)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 6*x**2 - 4*x - 4. Let b be r(5). List the prime factors of (-16)\/(-3) - b\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1035*h**4\/4 + 6117*h**3\/2 + 34851*h**2\/4 - 2205*h - 1593 = 0. Calculate h.\nAnswer: -6, -1\/3, 59\/115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + q + 4)*(q**2 + 2*q**2 + 0*q**2 + (-5*q**2 - q**2 + 4*q**2)*(3 + 0 - 1))*(-2 + 2 - 7*q) as g*q**3 + l*q**4 + m + r*q**2 + x*q and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wiei when four letters picked without replacement from eeeiiwe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 344557 and 4134695\/12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0*d**3 - 1\/360*d**6 + 0 + 0*d**4 - 1\/630*d**7 - 2*d**2 + 1\/180*d**5 + 1\/1008*d**8 + 0*d. Factor w(z).\nAnswer: z**2*(z - 1)**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25)\/10*(-6)\/(-5). Let n = -134\/15 + 28\/3. Which is the closest to 0? (a) n (b) l (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -21, -29, -29, -15, 19, 79?\n\"Answer: o**3 - 5*o**2 - 2*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a factor of 17100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55.7566 - -0.2434. Which is the third biggest value? (a) 0.4 (b) -0.2 (c) 1\/5 (d) l (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -103536 bigger than -103536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172142571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(25792\/39))\/(2*(-1)\/(-12)*-3).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, s: 1, i: 5, b: 1}. Give prob of sequence gbig.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (37 - (-29 + 66))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -30 - 4*f + 10 + 9*f. Find the common denominator of j(8) and 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1828074?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/1586?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (60\/50)\/((-4)\/30). Let f be (-6 - -10) + v + 2. Is f\/18 - (-3806)\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 85128, 170158, 255188, 340218, 425248?\n\"Answer: 85030*r + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7)\/z*z*z**(-2\/13)\/z*(z*z**0)\/z*z**(-5) assuming z is positive.\nAnswer: z**(-171\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l*l*(l\/l**(2\/77))\/l)\/l*l))**(-2\/31)\/((l**20*l)\/l*l*l\/(l**(-21)\/l)) assuming l is positive.\nAnswer: l**(-105032\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2304 and 3906.\nAnswer: 499968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*a + 26936, -2*v + 253*a - 258*a + 13471 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*x + 2*x + x)*(-1 + 1 - 2) - 2*x + x + 0*x)*(11 + 4 - 1).\nAnswer: -210*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*4*((3*sqrt(243) - sqrt(243)) + sqrt(243)))\/(sqrt(81) + 2*sqrt(81) - -5*(sqrt(9) + sqrt(36) + sqrt(9))))**2.\nAnswer: -317\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 46. Suppose l*b - 270 = -b. Is 27 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, u: 3}. Give prob of picking 1 u and 2 x.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1. Let c be 4 + -5 - 746\/72. Let l = -45\/4 - c. Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**3 + 6*k - 24 - 430*k**4 + 427*k**4 + 6*k + 18*k**2 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.261 and -12131.\nAnswer: -27428.191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*-2)\/sqrt(6) + (sqrt(72)*-4)\/sqrt(3) + sqrt(24))\/(-6*(sqrt(12) - sqrt(72)\/(sqrt(96) + sqrt(6)) - -6*(sqrt(12)*-2 + sqrt(12)))).\nAnswer: -25*sqrt(2)\/156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 2:07 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-11)*1\/(10\/2))\/(6360\/424000).\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 + 12*d**2 + 5*d + 5. Let b(x) = -6*x**3 + 18*x**2 + 7*x + 8. Determine -5*b(p) + 7*c(p).\nAnswer: 2*p**3 - 6*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -24\nAnswer: -47\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16049, -16064, -16079?\nAnswer: -16094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-84)*-8)\/(2\/(-27)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353597691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 3\/8 (c) 9\/2 (d) -3\/4 (e) -19 (f) -2\/7 (g) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 145408619*j**3 - 142814035*j wrt j?\nAnswer: 872451714*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 21 + 5*v + 5 - 7 + 14. Suppose 24*d - 52 = 11*d. Is w(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/4 and -29\/177686?\nAnswer: 355372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -3*j - 82 + 87, -j + 3 = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -232 - -430. What is the greatest common divisor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3731011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/40*(-3)\/((-27)\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/8 - 1\/4. Let i = 87 - 43. Suppose -5*k + 0*z + 4*z + i = u, 2*z - 22 = -3*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -63. What is the remainder when 120 is divided by ((-30)\/d)\/((-30)\/378)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40302766373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300912*a - 300583*a + 3290 = 0 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 0.6 (c) -12 (d) 2 (e) 0 (f) -0.4 (g) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 + 11*j - 7. Let p be u(5). Let k be (-2)\/1 + (-4 - -2 - p). Let q be 2 + -3 + k - 24599997. What is q rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/5 or 39\/220?\nAnswer: 39\/220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeezpeezeeczznc. What is prob of sequence ec?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-4301)\/(-782))*(-33)\/108?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*s**2 + 114*s**2 - 53*s + 53*s - 1 in the form u + v*s**2 + j*s and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 - g - 2. Let h(x) = 3*x**2 - 3. Let z(t) = 5*h(t) - 6*j(t). Let o be z(2). What is the common denominator of 7 and o + (-1)\/((-21)\/240)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -10*t**2. Determine b(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 361 + 409 = 0. Solve 0 = l*b - 5*f - 4, -b + 1 + 0 = -3*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955.9508 millilitres to litres.\nAnswer: 0.9559508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -17. What is the tens digit of 33 - (s - -4)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, -216, -222, -226?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-700))\/(42\/35)*-10*2?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**4 + 8*f**3 - 5*f. Let r(y) = -y**4 + 3*y**3 - 2*y. Let g = -9 + 12. Let o(m) = g*b(m) - 8*r(m). Find the second derivative of o(k) wrt k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, 0.14, -2, 3\/8, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*h + 4 = 309*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 57\/17 (b) 0.4 (c) -1 (d) -315.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -2*t**3\/3 + 409*t**2\/2 + 6*t. Is i(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108776.1 at least as big as 24.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 23. Let u be 3\/(-6) - -1 - 1. Is u bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 2540)\/(-234 + 231). Calculate the greatest common factor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1180b9 (base 12) to base 14.\nAnswer: 75485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2046185 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + (-1 - 80\/12). Let o = 0.1 + 0.1. Which is the closest to 0? (a) -1 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 176 - 104. Suppose -l = 4*o - 7*o. Let h be o\/26*-2 + 2. Which is the nearest to -0.1? (a) h (b) 0.2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5348166.5 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780642 is divided by 711.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n + 25 = -22*n. Suppose 0 = 2*g - n - 3. Calculate the smallest common multiple of 10 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8\/v)\/(v\/(v\/(v\/v**6)))*(v\/((v\/(v\/(v*v**(2\/9))*v))\/v)*v)**(-15\/4) assuming v is positive.\nAnswer: v**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114 + -67. Suppose 1 = 3*y - f. Suppose -2*w - 2*t + 20 = 0, 5*w = -3*t + 70 - 28. What is the least common multiple of y and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4949303 divided by 19.\nAnswer: -4949303\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*sqrt(91)*-2*-3)\/(sqrt(7) + (sqrt(70)\/sqrt(2))\/sqrt(5) + sqrt(14)\/sqrt(2)*3))**2 + -5.\nAnswer: -48*sqrt(13)\/5 + 1847\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2 - 105*x - 106*x + 208*x + x**2. Let y(f) = -f - 1. Calculate -2*q(h) + 4*y(h).\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Find f such that -u - 2*f**2 + 2 + f**2 + 0*f**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u - u - 749*u**2 - 4 + 760*u**2. What is the smallest common multiple of t(2) and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 1)*(-4 - 4 + 6) + (2 - 5 + 2)*(85 - 77 + 61) + 1 - 2 + 3)*(0*v**4 + 0*v**4 - v**4).\nAnswer: 65*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 47*f**7\/21 - 14*f**3\/3 + 2*f**2 + 126*f. Find the second derivative of t(r) wrt r.\nAnswer: 1880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61361 and 2.\nAnswer: 122722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**5\/5 + 24*f**4\/5 - 54*f**3\/5 + 28*f**2\/5 = 0.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9755cc (base 15) to base 9.\nAnswer: 14504053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 21948955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10)\/8*5657760\/(-900).\nAnswer: 2, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 450147234 to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8910337 to two decimal places.\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628723389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8209\/4223 or 3?\nAnswer: 8209\/4223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 r when three letters picked without replacement from {r: 4, o: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 857619 and 138.5?\nAnswer: 857480.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -331, -433, -491, -505?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -45545?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -330, -757, -1356, -2127, -3070?\nAnswer: -4185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/210*8\/(-6)*105\/5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, d: 3, o: 4}. What is prob of picking 3 o and 1 d?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -152 + 143 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o + 17 + 9*o - 6. Let d be u(9). Let z be (5 - d) + (-3)\/((-3)\/12499997). Round z to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/899 and -22\/773.\nAnswer: 694927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/3 + 176*n**4\/15 - 226*n**3\/5 - 8*n**2\/3 + 1304*n\/15 + 32 = 0. Calculate n.\nAnswer: -1, -2\/5, 2, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 8 - 113. Let l be 6\/(-10) - 336\/p. Which is greater: 10 or l?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-766 - -701) + 51 + -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (2 - 5) + 111 + (-1510 - -1497)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*f - 131066, -4*f - 355*g + 358*g + 262142 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45402 + -64049. Let y = -29747 - i. Round y to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95*s**3 + 695*s**2 + 550*s - 240.\nAnswer: -5*(s - 8)*(s + 1)*(19*s - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-80)\/28 + 6 - -3*(4 + -5). Let t be ((-10)\/(-12))\/((-4)\/(-6)). What is the fourth smallest value in v, 0.4, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1642, 11515, 37062, 85723, 164938?\nAnswer: 282147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-20))\/((110\/(-40))\/(-11)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 898d8 (base 14) to base 3\nAnswer: 121221212022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 25*a**2 - 3275*a - 2225. Let s(r) = -13*r**2 + 1638*r + 1110. Let b(x) = 5*s(x) + 2*u(x). Factor b(k).\nAnswer: -5*(k - 110)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1168*o - 1172*o - 222*o + 65*o as x + d*o and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 greater than 11029\/167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-7))**11*h\/(h*h**(2\/5)*h)*h*h\/(h*h**(11\/3)*h*h) assuming h is positive.\nAnswer: h**(1229\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 - 122. Let x = 42 + a. What is the nearest to 2\/7 in -0.06, 1\/8, x?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -10*y**2 - 33*y + 1. Let k(z) = -3*z**2 - 17*z + 2. Let d(v) = -7*k(v) + 3*x(v). Let b(o) = 2*o**2 - 4*o + 2. Calculate 11*b(r) + 2*d(r).\nAnswer: 4*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -k, 0 = -4*y - 4*k + 34 - 2. Solve 30 = -5*j - 4*q, 0 = y*j + 36*q - 32*q + 24 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43666540 (base 8) to base 11\nAnswer: 5340105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -12017.\nAnswer: -6008.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 92, 369, 820, 1439, 2220?\n\"Answer: -z**3 + 93*z**2 + 5*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Let s = 35.5 - 29. Let n = s + -6. Which is the nearest to -1? (a) g (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-17) - 32301\/(-153). Find the second derivative of -195*j - o*j + 6*j**3 + 395*j wrt j.\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -4301255?\nAnswer: 4301303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(119))\/sqrt(7) + -2 + sqrt(425).\nAnswer: -2 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/72660 and 151\/5288610.\nAnswer: 74040540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 + x + 8. Let a be o(-4). Let l = a + 55. What is the smallest common multiple of 6 and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9582 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -173992, 2\/5, 3 in descending order.\nAnswer: 3, 2\/5, -173992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/11)\/(o\/(o**(-3\/8)*o)) assuming o is positive.\nAnswer: o**(-1\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000295863 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10131510 and 8442925?\nAnswer: 50657550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2 - 4403*u - 4404 = 0. What is u?\nAnswer: -1, 4404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2102667 = -11*g + 37*g - 5*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/125 - -137\/750. Let y = 0.8 - 0.7. What is the nearest to 2\/5 in h, 3, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11, 8, 11, 26, 59?\n\"Answer: w**3 - 3*w**2 - w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*h**3 - 1341*b*h - b - 84694*h**3 with respect to b.\nAnswer: -h**3 - 1341*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/((sqrt(8)*3 + sqrt(8) + sqrt(8) - sqrt(8)) + sqrt(8)))\/(2*sqrt(6)*-2) - (2*2*sqrt(576))\/(sqrt(132)\/(sqrt(22)\/sqrt(2))).\nAnswer: -321*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -1 (c) -1\/2 (d) 4\/7 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/54 and -133\/2922.\nAnswer: 26298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2047344933*c - 2047344933*c + 6*c**3 - 1.\nAnswer: 6*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101100010000 + -10?\nAnswer: 110101100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*d - 7*d - 1219890 = 0, -5*d + 1219855 = 2*w. Let t = -3109940 + w. Round t to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3 + 440*f**2 + 2578*f + 2140 = 0.\nAnswer: -214, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m - 18*m + 92920 = -703750. List the prime factors of m.\nAnswer: 5, 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2))\/(w\/(w**(-9)\/w)))**(1\/14) assuming w is positive.\nAnswer: w**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 581.99414 + -582. Round j to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 3:51 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/6*(-3)\/2. Let o be (-4)\/(-2) - (x + -1). Solve -4*c = 5*p - 28, -o*p - c = c - 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (168\/(-35))\/(9\/30). Let q = 22 + m. Which is smaller: 3\/2 or q?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -55.1. Suppose 10 = 2*k - 0. Which is the nearest to w? (a) 0.5 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -609\/4 - -153. Let r be (-4 + 77\/14)\/(-1). Is b <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 5*x = -71, -5*c - 3*x + 1627 = 1706 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 9*m**2 + 15*m + 12. Let p be k(-7). Which is the closest to 0? (a) 0.4 (b) p (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13247025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*p, 4*p = 3*a - 65 + 24. Let k(u) = u**2 + 19*u + 27. Let v be k(-18). Does a = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15162, 18155, 21148, 24141?\nAnswer: 27134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 11) in base 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -557994*g + 6. Suppose 16*q + 16 = -0. Let l be a(q). What is l rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00107073 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from ooddkdkkddk?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6 - 4 - n + 0*n. Let a be l(-12). Suppose 0*g + 1\/4 - 1\/4*g**a = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1512517 at most -1512510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/150*(-45)\/54. Is 2 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 168 + 38 = 3*s, -2*s - 97 = -3*l. Let n be l\/3 + (-6)\/(-9). Suppose -6*k = -n*k + 30. Solve -k*g - 1 = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m - 24. What is the units digit of m*10*(-2)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 1:53 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d\/(d*d**(-2\/21)*d*d)))*d**(1\/2))\/(d**41*d**(1\/2)))**(29\/2) assuming d is positive.\nAnswer: d**(-12760\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*i - 50 = -12*i. Solve 3*b - 1 = 6*w - 5*w, 1 = -i*b + w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37 - -937?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -0.2, 72507.\nAnswer: -0.2, 4\/9, 72507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 4*j**2 + 4*j + 1. Give t(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 154483, -2\/3, -0.02, 5 in descending order.\nAnswer: 154483, 5, -0.02, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-1341)\/(-298)*4\/3)\/((-4)\/2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11885*i**4 - 2*i**2 + 20072*i wrt i?\nAnswer: -142620*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -6.5?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.788189 rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 100252200 rounded to the nearest one million?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -19.6. Let d = 10 - 8. Does d = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g**3 + 9*g**2 - 10*g - 15. Let o(j) = -3*j**3 - 3*j**2 + 3*j + 5. Let z(c) = -2*a(c) - 7*o(c). Let d be 18\/(-4) + 2 + (-3)\/2. Calculate z(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 - 3.99. Let c(i) = -i**3 - 6*i**2 - 8*i + 3. Let l be c(-4). Let o be (3\/(-30))\/(1\/4). What is the smallest value in l, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -10. Suppose f*k - 1158 = k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.877 (b) -0.2 (c) -4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -32. Let x = -8 + k. Calculate the remainder when 46 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -4*n - 18. Let i = -1 + 5. Suppose i*h - 5*h + n = 0. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6712*r**3 + 538*r**2 + 6711*r**3 + 1 - 5 - 1 - 538*r**2.\nAnswer: -r**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n - 28. Let c(k) = -k + 7. Let p(x) = 9*c(x) + 2*i(x). Let y be p(-6). Let r = 0.02 - -2.98. What is the closest to -1 in y, -2\/5, r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*s - 24054 - 13521 = 0 for s.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2*k + 5*k)*(2*k - 4*k + k) + 8715*k**2 + 9094*k**2 - 2135*k**2.\nAnswer: 15673*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3599.717nm?\nAnswer: 0.000003599717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, -8, -2 in decreasing order.\nAnswer: -2, -3, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*j**3 + 29*j**3 + 30*j**4)*(9*j - 63 + 63) + j**5 + 2*j - 4*j + 0*j.\nAnswer: 271*j**5 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*((-2)\/6 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 1, h: 2, d: 2, p: 2, t: 1}. What is prob of sequence pb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 103\/4 (b) -1\/5 (c) 0.1 (d) -7140\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 753289, 753288, 753287, 753286?\n\"Answer: -v + 753290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 14*l - 1. Let g be (-4)\/12*(-2 - -2). Let z be (-1)\/(-1) - g\/5. Calculate the remainder when 49 is divided by i(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 4)*1 + 5. Solve -o*v + v = -4*m + 16, -11 = -5*m - 2*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -14. Let u(r) be the first derivative of -3*r**2\/2 + 6*r - 61. Calculate u(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1177047798 to the nearest integer?\nAnswer: 34308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 254 and 7?\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45616*q**5 + 3*q**3 - 149*q - 336.\nAnswer: -912320*q**3 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 9000 = -14*g. Round g to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x**4 - 12*x**4 + 6*x**4)*(-1 + 0 + 0) + 2 - 2 - 3*x**4 in the form h*x**2 + y*x**3 + w*x**4 + a*x + n and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3 + 357401*p**2\/3 - 2621095*p\/3 + 833987\/3 = 0. What is p?\nAnswer: -119141, 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**6\/120 - 3*c**3\/2 + 180*c**2. Calculate w(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -9. Suppose 5*x - 21 = -d*a + 9, -62 = -5*x + 3*a. Calculate the highest common divisor of x and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/(5\/((-10)\/(-4))). Let c = i - 15. What is the units digit of 1480\/14 + (c - 32\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3683 and 5548503.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 139573, 139586, 139599, 139612?\n\"Answer: 13*m + 139560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 194063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 - 30 = 13*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.2, 472, 3\/25, 4, -2\/3 in decreasing order.\nAnswer: 472, 4, 0.2, 3\/25, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1352*a**3*p**2 + 3*a**3*p + 2*a**2*p - 148*a*p**2 - 72*a*p + 30*a + 144*p**2 + 8*p + 12 wrt p?\nAnswer: 2704*a**3 - 296*a + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 1052?\nAnswer: 7364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 23*w**2 - 6*w + 22. Let z(l) = -l**2 - l - 1. Let b = 26 - 27. Let i(d) = b*t(d) + 6*z(d). Differentiate i(n) wrt n.\nAnswer: -58*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -314, -321, -330, -341, -354?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -297*g + 49624. Give r(167).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 15*i**3 + 107*i**2. Let v(z) = -19*z**3 - 108*z**2. Give 5*j(w) + 4*v(w).\nAnswer: -w**3 + 103*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12639 and 31023?\nAnswer: 341253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w - 13. Let r(k) = -k - 2. Let q(g) = 39*r(g) - 6*t(g). Let x(b) = 13*b**2. What is q(x(j))?\nAnswer: 39*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 956, 969, 996, 1043, 1116, 1221?\nAnswer: 1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 7*c + 5. Let v be r(7). Let l(h) = 8*h + 6 - 4*h**2 + v*h**2 - h. What is l(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 56 = -7*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7921.4222 rounded to zero dps?\nAnswer: -7921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-5*(-3*sqrt(88) - sqrt(88))*-5)\/((1*sqrt(576))\/sqrt(2)) + 2 + -3)**2.\nAnswer: 200*sqrt(11)\/3 + 27536\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.117 (b) 1\/3 (c) 0.2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*j + 10 = -2*h, 0 = h + 3*j + 5. Suppose 0 = -t + h*t - 6. Suppose 11 = -t*w + 3. Let f(v) = v. Give f(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 181*m**3 + 6*m**2 - 8341*m - 3 wrt m.\nAnswer: 1086*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r + 907 - 4309. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z**3 + 215*z**2 + 38*z - 99. Give x(36).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -69*v**3 - 10*v**2 - v + 3. List the prime factors of f(-4).\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-123)\/(-3) + (3 - (-3 + 12)). Suppose -2*w + 632 = -0*w - 2*c, 0 = 3*w - 2*c - 947. Calculate the highest common factor of w and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.613596 + -0.4\nAnswer: -1.013596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 817210513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 389701\/18 - 21644. Let i = 5757\/56 - 401629\/3864. What is the common denominator of b and i?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 45 = -39. Let j(f) = f + y*f - 9*f. Let p(l) = 8*l. Determine p(j(b)).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 + 92. Sort w, 5, 4, -1 in descending order.\nAnswer: w, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 16*y**2 - 16*y - 15. Let k be v(-15). Suppose k = -41*s + 40*s + 253. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88034869*m**3 - 208442871*m wrt m?\nAnswer: -528209214*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 300 - 1197\/4. Which is the nearest to -1\/8? (a) -2\/15 (b) 0.5 (c) -2\/11 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - m - 2*m + (7*m - 3*m - 3*m + (2 - 5 + 5)*(3*m - m - 3*m) + 10*m + 7*m - 22*m)*(0 + 2 - 3) to the form f*m + w and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10639849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)*j**(-1\/13)\/j)\/((j*(j*j**(-7))\/j)\/j**8) assuming j is positive.\nAnswer: j**(77\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*u - 3*a - 14, 2*u + 65730*a = 65737*a - 39 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + g - 5 = 0, 17*g - 15 = -3*p + 15*g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 100 - 523. Let r = -428 - l. Put r, -1, 2, 0.05 in ascending order.\nAnswer: r, -1, 0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14538380 and -2.4.\nAnswer: -14538382.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153103.9ml to litres.\nAnswer: 153.1039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 5*u**2 - 13*u + 51. Suppose 0 = -9*i - 20*i - 75*i + 312. Give a(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**4 - 2*y**3 + 2*y**2 - 3*y**2 + 2*y**2 to i*y**4 + k*y**2 + t*y + v*y**3 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3 - 26 + 224*b**2 + 26 + 81*b**4 - 348*b**4 wrt b?\nAnswer: -6408*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 48 = s - 7, 5*p + 4*s - 83 = 0. Let o = 15 - p. Is (-6)\/o*(24 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 22 + -4)*5\/10. Find the common denominator of 79\/33 and 61*o\/108 - (1 - -3).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 139533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 101359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*r + 1036*r - 271*r + 1855*r.\nAnswer: 2884*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23965706381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 2*w + 3*w)*(-8*w - 3 + 2 + 3 + 0*w - w + 0*w + (2*w + 2*w - 2*w)*(1 - 1 + 1) + 2 - 2 + w).\nAnswer: -6*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 14) to base 10.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*w - 54*w - 552. Suppose 5*x = -5, -90 = -0*d - 2*d - 2*x. Calculate the highest common divisor of w and d.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -19*m**5\/60 - 45*m**2 - 108. Let c(k) = -221*k. Give z(c(x)).\nAnswer: -927979*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/5 + 12*z**4\/5 - 2*z**3 - 32*z**2\/5 + 24*z\/5 + 32\/5 = 0 for z.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22201130 - 0?\nAnswer: 22201130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10047024 divided by -386424\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/640920 and -163\/44100.\nAnswer: 9613800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 110 (b) -0.2 (c) 2\/3 (d) 0.97 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9 + 17\/3. Suppose 0 = -5*l + h*l - 3. Let t = l + -8. Let g(m) = -m**2 - 4*m + 4. Give g(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 + -28.54?\nAnswer: -26.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 divided by 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 + -1 - 3 - (-11)\/(1144\/(-640)). What is the smallest value in -4, 3, -716, a?\nAnswer: -716","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 118 + -95 + 1 + -10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5259, -5464, -5763, -6150, -6619, -7164?\n\"Answer: x**3 - 53*x**2 - 53*x - 5154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let -9*g**5\/2 + 105*g**4\/2 - 114*g**3 - 198*g**2 + 456*g - 192 = 0. What is g?\nAnswer: -2, 2\/3, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - 16. Suppose -2*j + 118 + 34 = 0. Let p = j + b. List the prime factors of p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2)*q\/q**(-6))**(-1\/6))**(4\/9))**17 assuming q is positive.\nAnswer: q**(-170\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21258?\nAnswer: 2, 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7600 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 4 (c) -3\/7 (d) -12\/31 (e) -0.02 (f) -232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 236398 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6 - 2 + 0*t - 3 + 2*t + 4. Determine p(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 3 + 2387*w - 9 + 0 in the form f + m*w and give m.\nAnswer: 2387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3344 (base 7) in base 11?\nAnswer: -9a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -51 (b) 7 (c) -0.5 (d) 2\/151 (e) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 14) to base 16\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55866.73479 + 55867. What is a rounded to 3 dps?\nAnswer: 0.265","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2 - 84*m = 0.\nAnswer: 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 3*h - 5, -4*m = -3*h - 2*h - 13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = -4*p, -4*b - 5*p + 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0462596 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvig when four letters picked without replacement from yvgviyvgiy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 13*x - 1 + 0)*(4*x**2 - 2 + 2).\nAnswer: 36*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -228 + 253. Suppose -6*r = -q*r + 6992. Does 48 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1802699 divided by 11\nAnswer: 1802699\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - (-3)\/(-3)) + 390 + 4.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(450) - sqrt(450))\/sqrt(9) + 1.\nAnswer: -10*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(90)*3*1)\/((sqrt(36)\/sqrt(162))\/sqrt(9)).\nAnswer: -81*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 i, and 1 j when three letters picked without replacement from {j: 2, u: 2, b: 3, k: 2, e: 1, i: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 - -90. Is (6\/(-12))\/((6\/2084)\/k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - -17. Calculate the highest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m. Let b be t(1). Let q(y) = -y**2 + 8*y - 8. Suppose -3*i - 3*f = -27, -3*i + 2*i + 6 = 4*f. Calculate the lowest common multiple of q(b) and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -34, 4, -12, 2 in decreasing order.\nAnswer: 4, 2, 0, -12, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + n + 188, -5*x + n = 4*n - 459. What is the remainder when x is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 9 + 24 + ((28 - 17) + -16 - -11).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1032*z - 2293*z - 4*z**3 - 228*z**2 + 3364 + 193*z.\nAnswer: -4*(z - 1)*(z + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 6 + 37 - 8 - 3*w - 17.\nAnswer: -w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 2*j - 4*j**2 - 2*j + 4*j + 2*j.\nAnswer: 2*j*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 less than 2021?\nAnswer: 2099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bswwwwsn. Give prob of sequence ws.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*g**2*u**3 - 12*g**2*u**2 - 67*g**2 + g*u**3 + 15*g*u**2 + 61*u**2 wrt g.\nAnswer: -14*u**3 - 24*u**2 - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88324007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-6))\/((-2)\/10). Let q = 0 - b. Let x(l) = l + 7. What is x(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*n - 16. Let l be (-1 + 0)*(-3)\/n. Suppose 4*h - 8 = -4. Which is smaller: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184490*f - 20 = -184491*f for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(1\/9)\/t)*t**(-3\/4))**2*(t\/(t**0*t))**(-2)*(t*(t*t*t\/(t*t**(-1\/4))*t)\/t)\/(t\/t**(1\/8)*t) assuming t is positive.\nAnswer: t**(263\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - s**4 - s + 2*s**4)*(5*s - s - 5*s)*(-3 + 0 + 5).\nAnswer: -2*s**5 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/56*-1)\/(1\/7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -117*a. Let b(k) = -6189*k. Give b(f(x)).\nAnswer: 724113*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 23, 19, 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12212230 (base 5) to base 4.\nAnswer: -130131111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.35 + -0.05. Let v = 2 + -2.2. Let d = -0.63 + 0.13. What is the nearest to v in d, n, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 213*k - 210*k - 46317. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 5*h**2 + 14*h + 6. Determine z(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53635265.\nAnswer: 5, 10727053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*x**3\/5 - 144*x**2\/5 + 702*x\/5 - 972\/5.\nAnswer: 6*(x - 18)*(x - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hucdduhuhcui. Give prob of picking 2 h and 1 d.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 20. Let j = 12 + b. Find the third derivative of -8*g**j + 5*g**2 + 0*g**6 + 2*g**6 wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, 5, -466, 1\/3 in descending order.\nAnswer: 5, 1\/3, 0.13, -466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*w - 2. Suppose 2*b = w - 1. Calculate the lowest common multiple of 16 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 + 3*m**2 - 18234*m - 18237. Determine q(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 - -54. Suppose j = 6*b - 3*b - 3. Let q(t) = -16*t**2 + t. Calculate q(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2451\/(-95))\/(-43))\/((-18)\/20)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 m when four letters picked without replacement from mmmwmwmm?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**3*v**3*z - 117*l**3*v**2*z**2 - l**3*v*z - 3*l**2*v**3*z + 7*l**2*v**2 + 11*v**3*z**3 + 20*v wrt z?\nAnswer: -234*l**3*v**2 + 66*v**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 376326163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (1 - (-7 - (-9 + -4))) + (17 - -51)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110010110000 (base 2) to base 12.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/60)\/(28\/12) - -200*(-6)\/(-21)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.35, -4, 2.9, -3\/2, 1, -2, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 640 - 630. Which is smaller: r or -7\/19?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**26)**(-8\/17) assuming r is positive.\nAnswer: r**(-208\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = 147*b - 37*b - 72. Solve 41 = -b*c + 23 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 3*k - 7, -116*r - 448*k + 203 = -442*k - 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 965 - 1450. Let z = u - -485.01715. What is z rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3033, 0.1, -147, -1?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*5*sqrt(112)*-2*-5 + (-3 + 2 + sqrt(112) - (sqrt(112) + 1 + -1)))**2.\nAnswer: 1600*sqrt(7) + 4480001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*t**2 + 27145*t**3 - 42*t**2 + 1257*t**3.\nAnswer: 28402*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 13) to base 14\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzr when three letters picked without replacement from {h: 2, z: 1, r: 1, q: 6, w: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.011 + -0.011. Let q = -7 + 7.3. Let i = u + q. Put i, 0.4, 4 in increasing order.\nAnswer: i, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x - 1644 = -44*x. What are the prime factors of x?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 0. Suppose b + 4 = -13. Let o = -16 - b. Put 3, k, o in decreasing order.\nAnswer: 3, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - 61*j + 436. What is c(12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**29\/b**(1\/8)*b\/b**11*(b*b\/(b*b**(-1\/35))*b)\/b assuming b is positive.\nAnswer: b**(5573\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25677245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -6403028 to the nearest 100000.\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-2)*4\/6. Let x(w) = w**2 - 4*w + 3. Let z be x(g). Let v(f) = 4*f + 2*f**2 - 2 + z*f - f**2. Calculate v(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -515 + 515. What is the fourth biggest value in -11, o, 4, -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {f: 2, m: 2, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (121 - (93 - 18)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14769*q - 14797*q + 616 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v**4\/4 - 41427*v**3\/2 + 59201*v**2\/4 + 47349*v + 11837 = 0.\nAnswer: -11837, -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o - 38. Let k be w(10). Suppose 2*m + 2*x = k, -3*m - 4 = -2*x - 17. Suppose 0 = -i - m*t + 4*t + 59, -192 = -3*i - 4*t. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8820 - 8822. Sort -8, -4, -0.1, -5, g in descending order.\nAnswer: -0.1, g, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 3*t - 43. Let u(i) = -i**2 - 10*i - 5. Let d be u(-8). Suppose -5*n = 2*j - 51, -3*j + 40 = -n - d. Calculate the remainder when t is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*d + 5643 = 420*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (16 - 29) - 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 785405565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 0*q**4 + 0*q + 22\/5*q**5 + 75\/2*q**2 + 15 + 1\/3*q**3. Find the second derivative of i(l) wrt l.\nAnswer: 264*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*z**3 - 109*z**3 + 8*z**2 + 362*z**3 - 104*z**3 - 102*z**3.\nAnswer: 8*z**3 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 5*d**3 + 8*d**2 - 4*d.\nAnswer: d*(d - 2)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -317965 - 6*r**2 + 317965 - r**3.\nAnswer: -r**2*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25004 + 25003. Which is the closest to o? (a) -4 (b) 15 (c) 4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-216)\/(-3)*(17595\/138)\/255\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y + 90 = -17*y. Suppose 0 = y*r + 31 - 751. What is the remainder when r is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvvovevvevggce. Give prob of sequence vov.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/5, -0.12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 905700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*a - 105*a + 396 = 0 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 210614001101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-3000)*6\/(-10)*(-40)\/(-36)?\nAnswer: -1\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 8*j**3 + 12*j**2 + 72*j + 54.\nAnswer: -2*(j - 3)*(j + 1)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.843964 decades in years?\nAnswer: 48.43964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n = -29909 + 30719 for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-57)\/(-133) + (2 - 1982\/(-14)). What is the highest common factor of 32 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 27*v**2 + 5*v + 4. Let c(w) = 27*w**2 + 4*w + 3. Give 5*c(b) - 4*m(b).\nAnswer: 27*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*y = 6*y + 6, 0 = w - 5*y - 10. Suppose -x + 125 + 1253 = w. Suppose 4*r + 438 - x = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**2 + 5*r + 5. Let n(t) = 7*t**2 - 6*t - 6. Let q = 8 + -14. Let g be (-2 - -10)\/4 + -7. Determine g*n(v) + q*d(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1. Let v(u) = 14*u + 4. Let r(a) = 12*m(a) - 3*v(a). Let c(x) = -3*x**2 - x - 4. Let l(j) = j**2 + j + 4. Let d(h) = -c(h) - l(h). Calculate d(r(t)).\nAnswer: 3528*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from hlvtglrv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.977 - 0.023. Let v = u - -25. Which is the nearest to v? (a) 4 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 1, 212 in increasing order.\nAnswer: -30, 1, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 30 (c) -0.3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = f + 25. Let c(z) = z**3 + 17*z**2 - 18*z + 16. Let d(u) = -12*u - 9. Calculate the remainder when d(-6) is divided by c(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2393348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 13772.\nAnswer: 13772.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 144571710511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/(-23))\/(5\/60*-2*-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 11*z - 40. Let f be d(8). Does 13 divide ((-1092)\/f)\/(2\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 21. Let g(d) = 28*d - 7. Let p(y) = 13*y - 4. Let w(z) = 6*g(z) - 13*p(z). Let o be w(v). Solve -2*c = 2*h + 2, -o*h = -5*c - h - 19 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 4*t. Let l(w) = w**3 - 3*w. Let h be 39\/(-15) + (-12)\/30. Calculate h*l(m) - 2*p(m).\nAnswer: -m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s + 82586*s**2 - 5*s + 182407*s**2.\nAnswer: 264993*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -293132, -1, 4, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13\/4 + 3\/2*s**2 + 19\/4*s = 0. What is s?\nAnswer: -13\/6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + (6 - 3) + 2 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 6*a**2 - a + 7. Let q be f(6). Suppose -2*m = -4*t - 2, -4*t - m = -7*t + q. Is ((-15)\/(-9))\/(t*4\/1992) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -12044?\nAnswer: -12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 34. Let t(v) = v**3 - 8*v**2 + 2*v - 11. Calculate t(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a. Let x be d(0). Let u = -468817\/8 + 58697. Let c = u + -95. Is x equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/5 - 6843*k**4\/5 + 3912447*k**3\/5 - 11634861*k**2\/5 - 4681290*k + 31135704\/5 = 0.\nAnswer: -2, 1, 4, 1139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 385169245*a**3*s + 93*a**2*s + 2*a**2 - 2*a*s - a - 93*s - 1 wrt a?\nAnswer: 2311015470*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9914)\/(-10) + 2\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 2 + 17*p**2 - 7 - 39*p - 6 - 2. What is the units digit of w(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.7 - -23. Let k = 1 - m. Sort k, -2\/3, -0.1 in increasing order.\nAnswer: -2\/3, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 4*d**2 + d - 2. What is s(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2)*(d**2 - d + d) - 68*d**2 - 53*d**2 + 167*d**2 to v*d**2 + c + t*d and give v.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-6) + (-1)\/(-2). Suppose -5*a - 2 - 10 = 3*r, -5*r = 2*a + 1. Suppose -3*o + r = -2*l, -1 = -3*o + z*o. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -52*s - 36*s + 96206957. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 57\/5 + (42\/(-35))\/3. Suppose -8*p = -n - z*p + 589, -2865 = -5*n + p. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1960 and 107320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -1 (b) 1\/6 (c) 39 (d) -0.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0843 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7457*t - 22346. Give p(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 3:47 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/8)\/s*s**(-12))**(-3))**13 assuming s is positive.\nAnswer: s**(4017\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -651865, -1303745, -1955615, -2607469, -3259301, -3911105?\nAnswer: -4562875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 991343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 58 = 93, 2*p - 21 = -5*q. Solve -3*k + 27 = 2*h, q*k + 2*h + 1 = 8*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11963962.\nAnswer: 2, 953, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(0 - 1\/2). Suppose s - 4 + 3 = j. Suppose -4*i - 4*c + 12 = 0, 5*c + 10 - s = 3*i. Solve l - i*l = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 3*d = 0. What is the remainder when -1 - (-7 - (d - 0)) is divided by -1 - (-2 + (-3)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-11) - (6 + 16040\/(-110)). Solve 4*g = -24*g + r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -28*o**2 - 7*o. Let f(s) = 7*s**2. Determine t(f(k)).\nAnswer: -1372*k**4 - 49*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/24659202 and 45\/1937.\nAnswer: 320569626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-59)\/(-2)*(-24)\/(-6).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -31. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6)*(-99)\/22?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -143, -206, -265, -320, -371, -418?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 254, 250, 244, 236, 226, 214?\n\"Answer: -y**2 - y + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwddwgdwdiiwbb. What is prob of picking 3 d?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, a: 12, w: 1, g: 2}. Give prob of picking 1 a, 1 t, and 1 w.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32907?\nAnswer: 3, 7, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153444981 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a factor of 1835684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2 - 30*t + 10. Let x(m) = -5*m**2 - 61*m + 20. Let u(q) = -3*q - 46. Let a be u(-19). Let s(p) = a*r(p) - 6*x(p). Does 25 divide s(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**4\/12 + j**3\/6 + 8063*j**2. Let u(c) = -c - 1. Give p(k) + u(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -7 - (-49 + 35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 384539.1ng to grams.\nAnswer: 0.0003845391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1870 (c) -6\/1537\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-6)\/7)*-2. Let h = i + 13. Solve 10 = 5*g - 5*o, 4*g = -4*o + o - h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 181, 244, 339, 472, 649, 876, 1159?\nAnswer: 1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5231 and 172623.\nAnswer: 172623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from albbbblbtlbbabtbblal. What is prob of sequence at?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 8*i**2 + 9*i + 8. Let c be q(-9). Let n(b) = 2*b - 3*b + 3*b. What are the prime factors of n(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7 - 2 = 0. Let g be (-9)\/(-8)*(-4)\/n. Let k = -130.2 - -128.2. Which is the second smallest value? (a) g (b) 1 (c) k (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.449869 or 0?\nAnswer: 1.449869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 6.9. Let v = -5 - u. Let f = -3.5 + -0.5. Which is the third smallest value? (a) 2\/19 (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7211 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -237, -244, -255, -270, -289, -312?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 7 + 2 = 0. Suppose 6 = 5*o + 3*t, o + 0*t + 3*t - 6 = 0. Suppose h*k + 4*z - 257 = o, -2*k + 5*z + 161 = 28. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714398878 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -145*i - 1088. Let u be h(-8). Calculate the highest common divisor of 600 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.044348 from -124882.\nAnswer: -124881.955652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 7:53 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(119) + (sqrt(119) - 3*-1*sqrt(119)) - (sqrt(119)*2*3 - sqrt(119)))\/(sqrt(21)\/(sqrt(3)*-3)*4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 7*r**2 - 2*r**2)*(-26*r - 28*r + 21*r).\nAnswer: -264*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110 - 233. What are the prime factors of (f\/6)\/(2\/(-4))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 5*l**2 - l + 4. What is the lowest common multiple of k(-4) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-6*(sqrt(99) - (1*sqrt(99) + sqrt(99))*-2))\/(1*-2*sqrt(1296) + sqrt(1296)))**2*-1.\nAnswer: -339\/4 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1814 and 482.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133 + n**4 + 353*n**3 - 703*n**3 + 350*n**3 - 2*n + 2*n**2 - 4*n**2 to the form x*n**2 + v*n**3 + j + w*n**4 + q*n and give j.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9*j + 23 + j**2 - 2*j**3 - 5*j**2 + 5*j**3. Let q(m) = m - 1. Let d(y) = k(y) + 6*q(y). Is d(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.2 + -31.6. Let x = 21.4 + r. Let u be ((-2)\/(-3))\/((-2)\/6). Which is the nearest to x? (a) 3\/7 (b) u (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*t - 3*t - 25. What is the least common multiple of t and 1227?\nAnswer: 4908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 102959*c + 308868.\nAnswer: (c - 102956)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-11360)\/852)\/(2\/3)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 46\/(3 - -8 - 9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 80 = 3*x, 0 = -3164*s + 3182*s - 2*x + 720 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(147)*2 + (sqrt(147) + -2)*1 + 4*(sqrt(147) + sqrt(147) + -4*(sqrt(147) - (sqrt(147) + 1 + sqrt(147))) + -5))**2.\nAnswer: -1092*sqrt(3) + 24879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*w - 11 - 19. Calculate the remainder when 22 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.3? (a) 0.5 (b) -1\/7 (c) -3 (d) -477\/7 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220341.4 hours to milliseconds.\nAnswer: 793229040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -4\/1535627 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.012?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t. Let i(o) = -645*o + 13. Give x(i(m)).\nAnswer: 645*m - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 79\/553 - ((-2630)\/7)\/2. Let a = 667 - f. List the prime factors of a.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -12*g + 12. Let w(a) = a**3 - 9*a**2 + 11*a - 23. Let h be w(8). Let i be (-13)\/(-65) + h\/((-10)\/162). What is the units digit of f(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -1\/2*t**3 + 0*t**2 + 0 + 2*t. Let p(i) = -30*i - 4. Let f(m) = -47*m - 6. Let j(r) = 2*f(r) - 3*p(r). What is j(y(w))?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 1518490978 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.4 - -3. Let s = a + 0.3. Let f = s - -0.2. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 863785.9m to kilometers.\nAnswer: 863.7859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 6 + 8 + 48*s.\nAnswer: 48*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102292 and 2140?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.445923mg?\nAnswer: 0.000007445923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {o: 1, s: 2, p: 2, i: 2, m: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98876\/105 + -6588\/7. What is u in 0*u**3 - 2\/15*u**4 - z*u + 6\/5*u**2 - 8\/5 = 0?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/((-9900)\/(-1715)) + (-60)\/(-990). Which is the nearest to 0.2? (a) 6 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 w when four letters picked without replacement from {o: 5, c: 10, w: 2, p: 3}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 10 = -13*o. Let 0*j**2 + 1\/2*j**5 + 0 + 0*j**4 + 0*j**o + 0*j = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -4 - (81 - 84)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 - 61. Suppose -60 = x*w - 23*w. Solve f = -w*h + 4*f, -h = -f + 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 208*b - 207*b = -h + 23, 0 = 83*b - 1245 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8437856 divided by 4.\nAnswer: -2109464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfp when three letters picked without replacement from {v: 1, h: 3, f: 3, p: 3}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -17*p + 46. Let c(l) = l**3 + 74*l**2 + 839*l - 57. Let j be c(-60). What is x(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 39. Let t = -2348 - -2370. Solve t*n - a = 18*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454364 is divided by 1640.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*f + 8963 + 507, -v = -3*f + 14244. Solve 4*x = 4734 - f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**6\/40 - f**5\/60 - f**4\/8 - f**3\/3 + 524*f**2. Determine a(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*d + 225 = z, 3*z + 4*d - 599 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -4. What is the greatest common divisor of 15 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**3 + 3039*v**2 - 768105*v - 771147 = 0.\nAnswer: -1, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -263, -528, -793?\n\"Answer: -265*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(17) + (-2 + sqrt(17))*-4)**2.\nAnswer: -224*sqrt(17) + 3396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 258\/8219, 2\/9, 0.5?\nAnswer: 258\/8219","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 20*d**2. Let t(q) = -108 + 52 + 56 - q**2. What is t(v(u))?\nAnswer: -400*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.570010742 + -14.57. Round h to seven decimal places.\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*s**3 - 40*a**3*s**2 + 27695*a**3 - 30043752*a**2*s**5 - a**2*s**2 wrt s.\nAnswer: 6*a**3 - 1802625120*a**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52268983687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -4)\/(2\/(-173)). Let z = 29 + -25. Suppose 429 - v = 4*w - z*o, -w - 5*o = -88. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/3 and -143\/4667700?\nAnswer: 4667700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -34. Let n be (-8 - -4)*j\/(-4). Suppose 0 = 2*r + u - n, -3*r + 5*u = -2*r - 24. Calculate the remainder when 53 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, j: 4, a: 6, d: 1}. Give prob of picking 2 x.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 13, -0.41?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61047 and 2337?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:16 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/80 and 67\/116490.\nAnswer: 931920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + 4)*(6 + -14). Sort -4, q, 14, 3 in ascending order.\nAnswer: -4, 3, 14, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/1*(-2959)\/2152. Solve 0 = l + 7*j - 3*j + i, -8 = l + 3*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozuzdrurzz. Give prob of sequence or.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from ufnvngv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7 - 3 - 3. Let a(o) = -o. Suppose -2*q - 3*m + 13 = 0, -q - 4*m - m + 17 = 0. Let c = 1 + -2. Calculate c*u(t) + q*a(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8*(-1815)\/(-99)*(-9)\/45.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.2225 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -1829?\nAnswer: -1829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*i**2 + 10*i + 13*i - 23*i - 131*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p. Let g(t) = t**3 - 4*t**2 + 5*t - 2. Let m be g(3). Suppose -m*j + 10 = j. Let w(x) = -5*x**2 + 2*x**2 - x**j. Calculate s(w(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q**2 - 5*q + 55. Suppose -3 = -5*g - 18. Let x(o) = 4*o**2 - 2*o + 28. Let v(b) = g*t(b) + 7*x(b). Is 9 a factor of v(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/6*0)\/1. Suppose m = -3*o + o + 84. Let l be 41\/9*23 - 184\/(-828). What is the greatest common divisor of o and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(30)\/(sqrt(150)*-6))**2 + (2*sqrt(60))\/sqrt(12) + (5*(3 + sqrt(5)))**2.\nAnswer: 152*sqrt(5) + 63001\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/2 + 7*n**3 + 16*n**2.\nAnswer: -n**2*(n - 16)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30 and -7036?\nAnswer: -211080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15479, -61053, -136719, -242477, -378327, -544269, -740303?\nAnswer: -966429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 682253381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8567095*d**2*k**3 + 18*d*k**3 - 63*d*k**2 - 2*d*k - k**3 - 653*k**2 + 1 wrt d?\nAnswer: -17134190*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 11*v**2 + 10*v + 9. Let w be q(11). Let y(g) = -3 - 118*g**2 + 2 - 3*g - 1 + w*g**2. Give y(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 6:49 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 1 (c) -0.2 (d) -222\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, a: 2, v: 2, r: 1, o: 5}. Give prob of picking 1 c and 2 a.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2310\/41 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -488.999998916 - -489. What is h rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4135774.\nAnswer: 2, 2067887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6516*f**2 + 0*f - 6485*f**2 + 0*f.\nAnswer: 31*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0623 and 7.\nAnswer: 7.0623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*i + 577 = -15*i - 16*i - 15*i - 562*b, -3*b - 12 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 8:35 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/90 - (-1)\/(-135)*30. Sort u, -3, -236.\nAnswer: -236, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w = -64. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**3 - 13*f**2 - 14*f + 3. Let i(o) = 2*o**3 + 7*o**2 + 7*o - 2. Let q(x) = 5*i(x) + 3*j(x). Let b = 17 + -12. Calculate q(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 6\/13 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1202*v**2 + v**3 + 2414*v**2 - 1212*v**2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 3*k - k + 4*k - 2*k + k + k - 4*k + 5*k + (-k - 2*k + 0*k)*(-2 - 3 + 1))*(-2*k**3 + 3*k**2 - 3*k**2).\nAnswer: -22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 v when three letters picked without replacement from {y: 1, h: 4, v: 4, n: 3, o: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, o: 2, l: 1, g: 5, k: 2}. What is prob of picking 1 g, 1 o, and 2 k?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d. Suppose -8 = 5*w - 2*q + 8, 0 = -3*w - 5*q + 9. Let j(p) = -3*p + 1. Let f(u) = w*g(u) - j(u). Calculate f(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 divided by -27?\nAnswer: -524\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -38*l + 568. What is the lowest common multiple of z(12) and 266?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7264*j + 17 = -7247*j. Let x(q) = q**3 + q + 1. Let n(m) = -m**3 - 11*m**2 + 2. Calculate j*x(p) - n(p).\nAnswer: 2*p**3 + 11*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*h + 3*h. Let n(m) = m**2 + 4*m - 5. Calculate n(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3147, 8014, 16137, 27516, 42151?\n\"Answer: 1628*c**2 - 17*c + 1536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78308780 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oydoxdddddttydddtdd. Give prob of picking 1 d and 1 t.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6244032 and 2346?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 4. Let q = 17 + -11. Let t be a(q). Solve 16 = -o - 3*l + 2, o - l = -t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 8*s + 7. Let g be y(-6). Let i = 418 + -431. Let u = g - i. What is the remainder when 13 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5280783?\nAnswer: 3, 1760261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 9:31 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g. Let z(q) = 3*q - 2. Suppose 37*n = 28*n - 360. Let l(m) = -27*m + 16. Let b(p) = n*z(p) - 5*l(p). What is h(b(x))?\nAnswer: -60*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*w - 7 = -0*j, -2*j + 4 = 2*w. Suppose -227 = -5*p + 123. Let m be (p\/(-18))\/5 - -1. Is j at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 + 966*q\/5 - 28024\/5.\nAnswer: -2*(q - 452)*(q - 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/(-6)*(-24)\/66. Which is the smallest value? (a) t (b) 5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2587 + -785. What are the prime factors of a?\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r + 4*r - 8 + 0*r. Give n(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 870, 1705, 2540, 3375, 4210, 5045?\n\"Answer: 835*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12255573.\nAnswer: 3, 11, 23, 67, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p**3 + 26*p**2 + 15*p - 6. Let j(q) = q**3 + 5*q**2 + 3*q - 1. Give -2*d(t) + 11*j(t).\nAnswer: -t**3 + 3*t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5271863 divided by -2.\nAnswer: 5271863\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 > 261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from ollolli.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4084148 divided by -1156\nAnswer: -3533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y. Let x(a) = -4*a - 14. Let f(o) = -2*u(o) + x(o). Let c be f(-8). Let v be (-1 + -2 + c)*0. Which is smaller: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 15*l**2 + 173*l - 673. Is i(-84) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10651.4 to the nearest 100.\nAnswer: 10700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 m when four letters picked without replacement from {m: 5, y: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 61 = t, -204 - 16 = -4*t - 4*q. Let r be t\/6*(-24)\/(-4). Suppose 5*j = -2*z + 105, 2*j = -2*z + r - 14. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 < 453.96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9*q**3 - 21*q**2 + 9*q - 1. Let a(s) = 14*s**3 - 33*s**2 + 13*s - 1. Let l(n) = 5*a(n) - 8*y(n). What is the second derivative of l(z) wrt z?\nAnswer: -12*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*c*o**2 - 2*c*o + 2*c - o wrt o?\nAnswer: -42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 - 24*t. Let m(c) = -140023*c. What is m(w(o))?\nAnswer: -560092*o**2 + 3360552*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 137, -4, 2, 1228, 28\/9 in descending order.\nAnswer: 1228, 137, 28\/9, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n - 202. Determine m(21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 254366 and 294.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*a + 16 = -f, 2*a - 2 = 0. Suppose -4*z = 4 + 16, -f*x - 5*z = -95. Calculate the highest common factor of 36 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -159*k. Let x be p(-1). Suppose -4*a + x = 3*c, -c = 2*a - 59 + 6. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -352.554 rounded to the nearest integer?\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -358 - -358. Solve 0 = -10*x - p + 50 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7 = 17. Let i = q + 13. Solve 0 = 4*l + i*m - 4*m - 5, -3*l + 2 = m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.246 take away -5?\nAnswer: -82.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2009, 8040, 18093, 32168, 50265?\nAnswer: 72384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l**2 + 13*l. Let m(c) = c**2 - 2*c. Let w(t) = -39*m(t) - 6*o(t). Let h(p) be the third derivative of -p**5\/30 + 3*p**2. What is w(h(f))?\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -17\/395 (b) -6 (c) 1\/4 (d) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/71, -0.5, 5.78.\nAnswer: -0.5, -4\/71, 5.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 0)*(-3 + 2). Suppose -t - 5 = -4. Which is smaller: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45188987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.40082 rounded to 2 decimal places?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/5 - 290194*m**2 - 1450968*m\/5.\nAnswer: -2*m*(m + 1)*(m + 725484)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k - 5*k - 7*k + 3*k. Let b(a) = 85*a**2. Determine y(b(q)).\nAnswer: -255*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5 + 21*i**4 + 18*i**3 - 96*i**2 - 96*i = 0. Calculate i.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 18. Solve -3*n - s*y - 15 = -6*n, 3*n = 4*y + 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232015 (base 6) to base 8.\nAnswer: -46653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*b + 4 - 20142 = -1231 for b.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 457 and 251815226?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 10:59 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i - 2*i)*(-12*i**2 - 20*i**2 + 16*i**2) + (i + 0*i - 2*i)*(-i**2 + 4*i**2 - 2*i**2).\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from twywht.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.3, 2\/23, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -15*k + 168. Let a be -1 + 2\/2 + 1. Let b be 2 + (a - 2) - -3. Solve 6 - k = -b*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589285?\nAnswer: 5, 19, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16, 6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 8*z**2 - 16*z + 38. What is the units digit of l(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-2\/49)\/(((x**(3\/11)*x)\/x)\/x*x**(-2\/25)\/x) assuming x is positive.\nAnswer: x**(24903\/13475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*p + 19170016, -13*x + 5*p = -15*x - 12780020. Round x to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 2*w + 31.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -2959?\nAnswer: 1\/2959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -5)*(-2 + (-133)\/14). Let c = 45 - g. Is -2\/65 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34 - 7 - 11)*(2*d**2 - 2*d**2 - d**2) to the form i*d + q*d**2 + o and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (7 - 4)\/(5 - (-797)\/(-160))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2336 divided by -292?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.400831 millennia in years?\nAnswer: 2400.831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 7*z**2 - 25*z - 39. Calculate o(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 14. Let b be (2 - 6)\/(t + -11). Solve -p**2 - 6*p**2 + 5*p**2 - 2*p**3 - p**3 - p**b = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 + 5 = 0. Suppose 7*g = 5*g - 6. Put 5, i, g in descending order.\nAnswer: 5, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28166 minus 1620?\nAnswer: -29786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-4) + 15780\/(-1740).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 3*f**2 - 5*f)*(4*f - f - f + (1 + 5 - 2)*(-2*f + f - f) + f - 2*f + 2*f + 0*f - 4*f + 2*f)*(5 - 3 - 1)*(6 - 4 - 1).\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2966 - -4494. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**6\/120 + b**5\/10 + 5*b**4\/24 - 4*b**3\/3 + 4*b**2 - 7*b. What is the lowest common multiple of 82 and m(6)?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7*2\/(-8))\/((-18)\/(-72)*1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/t**2))*(t\/(t\/(t*(t*t**0\/t)\/t*t))*t)\/t*(t\/t**(1\/8))\/(t*t**(-3\/4)*t))**6 assuming t is positive.\nAnswer: t**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in sixty-nine halves of a microgram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6 - (-224)\/35)*(-17750)\/22200 and (-274)\/36 - 3\/6.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 11:25 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -84.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29.999885 + -30. What is x rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(27\/6)\/3. Let k be -33 - ((-21)\/o + -4). Let g = -36 - k. Solve -v = -g*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l**2 - 65*l + 5*l**2 + 67*l - 3*l - 3*l**2 + 3*l + (-l - 2*l + 4*l)*(l - l + l) to the form y*l + u + n*l**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -73, -166, -257, -346?\n\"Answer: y**2 - 96*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g**(-1\/2)\/g*g*g*g)**(-3\/2))**(-15) assuming g is positive.\nAnswer: g**(405\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008754 rounded to four decimal places?\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -934947, -934929, -934899, -934857, -934803, -934737, -934659?\n\"Answer: 6*j**2 - 934953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14060075 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 - 64.1. Let u = 11 + -5. Let y = n - u. What is the biggest value in y, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in -8, -2\/117, -0.1, 3\/43?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -88 < -1140\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**6\/30 - 2*s**5\/3 - 29*s**4\/6 - 40*s**3\/3 + 3*s**2 + 25*s. Suppose m(p) = 0. What is p?\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**4 + h**2 - h. Let t(c) = -2*c**4 - 16*c**3 - 10*c**2 + 14*c + 16. Let d(r) = t(r) - 2*v(r). What is a in d(a) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 1082*x - 82000.\nAnswer: -(x + 82)*(x + 1000)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2882538?\nAnswer: 2, 3, 160141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29012.7m in kilometers?\nAnswer: 29.0127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 930 = -5*n, 0*q = 4*q - 5*n + 744. Let i = 186 + q. Solve i = 16*s - 15*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/7)\/(w\/w**(-3)))\/(w**6*w**1))\/(w\/(w\/((w\/w**7)\/w))*(w*w**0)\/w)**(3\/50) assuming w is positive.\nAnswer: w**(-3853\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h - 17*h**3 + 9 - 20*h - 12*h**2 + 29*h**2. Suppose -33*y - 228 = -431 + 269. Let t(g) = -4*g**3 + 4*g**2 - 3*g + 2. Calculate y*n(r) + 9*t(r).\nAnswer: -2*r**3 + 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*a - 10 = 714, 7*s - 5198 = -2*a. What is the remainder when s is divided by 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4 = 21. Solve 0 = 3*k - o*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5686.54 to the nearest 100.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohhd when four letters picked without replacement from aoopppdapohh.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3911266 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g - 1. Let h(n) = -7*n + 6. Let p(d) = h(d) + 6*k(d). Let j(c) = 6850 - 2*c**2 - 6*c**2 - 17*c**2 - 6850. Calculate j(p(u)).\nAnswer: -3025*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18827?\nAnswer: 67, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.17 (b) 2 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3*u = -44. Suppose u = 3*q + 2. Suppose -5*p + 28 + 2 = 4*z, -3*p = -q*z - 18. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48618676 by -3.\nAnswer: 48618676\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 5*w + 2. Suppose 0 = -j - 4*j. Suppose 9 = 3*t - j*t. What is the units digit of c(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247 + 141*j**3 + 5*j**2 - j**3 - 140*j**3 - 2*j**3 + 247.\nAnswer: -2*j**3 + 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 305010 rounded to the nearest one thousand?\nAnswer: 305000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(k + 0 + 0) + 3*k - 4*k + 2*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*j. Suppose -q = -0*q - 3*d - 31, 3*q + d - 53 = j. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 41*f**3 - 119*f**2 - 96*f. Find the first derivative of j(o) wrt o.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244727, 244726, 244727, 244730, 244735, 244742?\nAnswer: 244751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from gftddtddw?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + u = 4*t - 134, -t + 61 = -2*u. What are the prime factors of t\/3*5\/5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72513 and 1?\nAnswer: 72513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05379 and 0.3.\nAnswer: 0.016137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-40)\/(u**36*u)*(u\/(u**(-41)*u))\/(u\/(u\/(u*u\/(u**3\/u)*u))) assuming u is positive.\nAnswer: u**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 165*c + 7037. What is g(35)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxhxhh. Give prob of sequence xhxx.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10*d - 66*d**2 + 41*d**2 + 12 + 26*d**2. Give v(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h - 6. Suppose 2*p = -4*t - 13 - 7, 0 = p - t + 22. Let c be -12*3\/p*2. What is the units digit of o(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(((r\/(r*r**6\/r*r))\/r)\/r)*r)\/(r*r**9))\/(r**3)**(-1\/4))**(43\/4) assuming r is positive.\nAnswer: r**(129\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(5) + 3 - (sqrt(5) - sqrt(55)\/(sqrt(44)\/sqrt(4)))**2)*-1.\nAnswer: -3*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/3)*l)\/(l\/(l**2*l)))\/((l*l**(-1\/3))\/l**(-2\/7)))\/(((l\/(l**(-1)\/l)*l)\/l**(5\/7))\/(l**(-2\/15)\/(l*l*l**(-3)\/l))) assuming l is positive.\nAnswer: l**(31\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - k**2 - 3*k**2 + 5*k**2)*(-32*k + 54*k + 5*k).\nAnswer: 27*k**3 - 27*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3 - 2388*x**2 + 504735*x - 11561550 = 0. What is x?\nAnswer: 26, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 50\/(-12) - ((-763)\/42 + 18). Which is the closest to 0.1? (a) 2 (b) 1 (c) s (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(114) + sqrt(114)*-1*2)\/(sqrt(864)*1) + 6*((sqrt(1216) - 1*sqrt(1216)) + sqrt(19) - sqrt(57)\/sqrt(3)*1) + 5.\nAnswer: -sqrt(19)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)\/n)\/n*(n**12*n*n)\/n*n**(-4)*n**(-1\/13) assuming n is positive.\nAnswer: n**(656\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 1 - ((-6 - (-12 + 34)) + -44).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 + -65.00044. Round h to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*f - 4*w, -f - w = -0*f - 22. Let x = -5 + f. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u\/u**(1\/4)))\/u))**(-1\/50)\/(u\/(u*u\/(u*u\/u**(3\/4)*u))*u*u\/(u**(-1\/2)*u)*u))**32 assuming u is positive.\nAnswer: u**(-3028\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*j + 82, 5*j + 4*g - 12 = 77. Suppose 0 = 3*r + 5*k - j, -r + 4*r - 8 = 4*k. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, c: 3, n: 6, i: 1}. What is prob of picking 1 n, 1 i, and 1 h?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -0.726, -4, 5, 0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3571.0831737556 from 0.2.\nAnswer: -3570.8831737556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s = 4*u - 2, -5*u + 4*s - 4 = 0. Suppose -2*h - 2*p = -u*p - 4, 5*h = 4*p + 46. Let d(o) = 3 + h - 4 - 3*o - o**2. Give d(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 + 6*p**2 - 12*p**2 + 0*p**2 to the form f + b*p**2 + u*p and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 3 = z. Let g be (-64)\/(-48)*24\/16. Solve -z*p + g*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -7*l**4\/8 - 7*l**3\/3 + 33*l**2. Differentiate r(p) wrt p.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7465 - -7469. Solve 1 = q + l, x*l = q - 3*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0. Let o = 1 + 3. Which is the third smallest value? (a) o (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 4:12 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 278*a**3 - 3*a**2 + 13*a - 19. Does 5 divide h(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w + 4*w + 13*w + 5)*(2*w + 1 - 1).\nAnswer: 12*w**2 + 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -134*p + 16667 + 5388 + 31009. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1.5, -2\/5, 0.3, 1\/7.\nAnswer: -2\/5, 1\/7, 0.3, 1, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20895436?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 546*i**3 - 548*i**3 - 2.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*k = 62004. Let b(i) = -i**3 + 2*i. Let l be b(-2). Suppose 0*c = -c + 2*f - k, -f = l*c + 247998. Round c to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/2 - (-106 + -22)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/11)\/g**(-2\/3)*(g\/g**(4\/7))\/(g\/(g\/g**(-1)))*g**(-11\/4)\/(((g*g\/g**0)\/g*g)\/g*g*g**(-2)\/g) assuming g is positive.\nAnswer: g**(487\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2923 - 6879*p**2 - 1486 - 1437 - p.\nAnswer: -6879*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 8:56 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1121)\/14868 + 3\/567*9?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 8. Let y be m(0). Let s = -3 - y. Suppose 0 = -z + 5*z - j - 175, 0 = s*z + 5*j - 225. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 2*j - 2*j + (-4 + 3 - 2)*(2 - 2*j - 2) + j - 5*j + j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27877\/8708 + -104\/311. Let g be ((-9)\/(-6))\/(5005\/14705). Let o = g + 95\/143. What is the common denominator of o and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 2:17 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 7 = s, 3*s + 2*i + 1 = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6288641*g - 3566. Let n(q) = -5289*q - 3. Calculate -3*k(h) + 3566*n(h).\nAnswer: 5349*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9204 (base 12) to base 11.\nAnswer: -109a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -191182*g**3 + 2*g**2 - 648890?\nAnswer: -573546*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2\/2 + 1284523*g\/2 + 3853587 = 0.\nAnswer: -6, 1284529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408444*p - 407343*p + 786645*p.\nAnswer: -29142*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 374519 = -26*j - 3*a, 4*j - 3*a - 1498058 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*k, -4*d - k = k - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2637 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2617 - -2863. Suppose -3*d - d = -h - b, 4*h + 4*d = -22020. Round h to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 32*d + 117. Let h be f(28). Put 2, h, 3, -11, 15 in decreasing order.\nAnswer: 15, h, 3, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-26)\/(-8) + -3). Suppose -3*q = -u*v - 2*q + 13, -3*q = -4*v + 7. Suppose i = z + 5, 0*i - z - 5 = -5*i. Sort 2, v, i in decreasing order.\nAnswer: v, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/7, 0.69, 3, -4 in increasing order.\nAnswer: -4, -3, -3\/7, 0.69, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 54 - 5*t + 56.\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1009*x**2 + 25*x - 181. Is j(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - 12. Let t = -26.9 - o. Suppose 11*a + 3341 = 3286. What is the nearest to t in 0.1, 5, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3*s**4 - 2)*(4 - 2 - 3) + 3*s**4 + 13*s**4 - 49*s**4 + s - s**4 - 3*s**2 + 0*s**2 + 2*s**2 as m*s**2 + p*s + w*s**3 + b + x*s**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**4\/4 - d**3 + 2*d**2 - 2*d - 27. Give o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-1 - 0\/1). Let l be (p - 1)\/(-1)*1. Let z = l - -2. Solve 5 = 2*a - z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/3135 + 0\/1\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * -4414.\nAnswer: -397.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17874047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(12\/13)\/(z\/((z*(z**8\/z)\/z)\/z)))**(-10) assuming z is positive.\nAnswer: z**(-770\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 35.07 (b) -12 (c) 3 (d) 2\/11 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(1377))**2 + 0 + 3.\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4 = 2*z, -5*i + 17 - 5 = 4*z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - w - w + (143 + 8*w - 143)*(16 - 18 + 19))*(0 + w**3 + 0) to n*w + x*w**2 + a + m*w**4 + o*w**3 and give m.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7662\/210115 - 603640571\/194146260. Let m = -24\/385 - l. What is the common denominator of m and 11\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 890104 + 546084022\nAnswer: 546974126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -40. Is 1\/h - (-2868)\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7c5b4 + 8?\nAnswer: -7c5ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 76*(-6 + 3)\/(-3). Suppose 0 = i + 2, n - i = i + k. Is 24 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 495*f**5 + 13*f**2 - 10*f wrt f.\nAnswer: 29700*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4)**20*(o**6)**(-1\/2))**(-1\/26) assuming o is positive.\nAnswer: o**(-77\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((0 - -2)\/((-18)\/9)). Suppose -q + 22 = -4*i, -37 + b = -3*q + 4*i. Solve -k = 1 - q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from rttrb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -783 - -2335. Let v = 1552.879 - g. What is v rounded to two decimal places?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 107. Let n = u + 65.9. Let l be 4\/5*(-3)\/6. Which is the second biggest value? (a) l (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**4 + 0*c**4 + 2*c**4 + (-3*c**2 + 4*c**2 - 11*c**2)*(0 - 15*c**2 + 0) - c + 5*c**4 + c + 3*c**3 + 2*c**4 - 3*c**3.\nAnswer: 156*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5565*k - 8 = -5564*k - 3*s, 5*k - 4*s = -7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 11*v**6\/40 + v**5\/20 + v**4\/12 + 6135*v**2. Calculate f(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(3*x**2 + 9*x - 9*x)*(-196 + 196 - 86*x**3 + (-1 + 1 - 2*x**2)*(-3*x + 2*x + 0*x) + 2 - x**3 - 2).\nAnswer: -255*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e7 - 41d7?\nAnswer: -40f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 10*c = 3*z + 34585, 3*c = -3*z + 51840. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = -f, -3*f - 8 = -2. Calculate the remainder when 5 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -402 and -57.66.\nAnswer: 23179.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + g - 1445 = -b, -2*b - 4*g + 970 = 0. Let l = 1112 - b. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326 (base 10) to base 12.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, 80, 187, 334, 521?\n\"Answer: 20*h**2 + 7*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzyzzzzzzzgzzzygz. Give prob of picking 2 z and 2 y.\nAnswer: 33\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tthtthhhhhht. Give prob of picking 2 h.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + 6 - 1 - 4*n)*(-13*n + 10*n - 13*n) to y + b*n + s*n**2 and give b.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 7*a**2 + 7*a - 2. Let u(y) = y**3 - 8*y**2 - 8*y + 2. Let j(s) = -5*c(s) - 4*u(s). Is j(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - f**3 - 3*f**3)*(-8 + 11*f**2 + 8) + 2*f**5 - 4*f**5 - f**5.\nAnswer: -14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6*(h*h\/h**(1\/11)*h)\/h)\/((h**(-3\/5)*h)\/(h**(-5)*h)))\/((h**(1\/7))**33)**(-31) assuming h is positive.\nAnswer: h**(57616\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 1\/12, 0.1236 in increasing order.\nAnswer: -2\/13, 1\/12, 0.1236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**6\/180 + 56*q**3\/3 - 90*q. Let c(p) be the second derivative of g(p). Let a(m) = -1 - 13*m**2 + 1. Give a(c(u)).\nAnswer: -52*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, v: 1, h: 1, i: 3}. What is prob of sequence gv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -54. Let x(f) = -5*f - d*f + 2*f + 18*f. Let a(y) be the third derivative of 5*y**4\/24 - 5*y**2. Determine x(a(n)).\nAnswer: 50*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11))**(-20\/9) assuming w is positive.\nAnswer: w**(220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 6*i + 2. Calculate q(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -9*v + 4*v. Let b(c) = 11*c**2 + 8*c + 12. Let o(n) = -5*n**2 - 4*n - 6. Let h(w) = -6*b(w) - 13*o(w). Determine h(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -14. What is the greatest common divisor of 98 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, 2, -2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/52? (a) 0.1 (b) 1\/7 (c) 4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 8 - 4. Let k(o) = -7*o - 7. Is k(j) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v**2 - 3*v - 3. Let b be m(-2). Let g = b + 3. Let y = 36 + g. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 3, -10, -2, 2, -1, 1 in increasing order.\nAnswer: -18, -10, -2, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 h, and 1 l when four letters picked without replacement from {l: 12, y: 2, r: 2, h: 3, s: 1}.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 2611*p**4\/24 - 2*p**2 - 811*p. Let r(q) = 4*q. Determine d(r(c)).\nAnswer: 10444*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1065*p + 32076. Give n(30).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)*g**(-3\/2))\/(g\/(g*g**1\/g))**(2\/39) assuming g is positive.\nAnswer: 1\/g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/18)\/2*10624\/1328?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100028*o**3 + 99*o**2 + 16*o - 8 wrt o.\nAnswer: -600168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*i + 27, 29 = 2*i - 5*j + 4. Suppose -b = -0*b + i. Let z be ((-10)\/(-3))\/(b\/(-15)). Solve -z*s + 11 = -3*m, -5*s + 3*m + 2*m = -5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3557, 4, 21230?\nAnswer: 3557","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69396.7 centuries in months?\nAnswer: 83276040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*3725.42\nAnswer: -372.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -1313, -4, 64 in descending order.\nAnswer: 64, -1, -3, -4, -1313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 457 divide 418379387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Find the third derivative of -3*b**4 - b + b**p + b wrt b.\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -27\/230, -2 in ascending order.\nAnswer: -3, -2, -27\/230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/4)*b**(-2\/35))\/(((b*b\/b**(-4\/9))\/b*b)\/b*b**1) assuming b is positive.\nAnswer: b**(-2837\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 = -6, 2*l - 12 = 2*p. What is the greatest common divisor of 274 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1802 a factor of 5425547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125827 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 13*n**2 - 13*n - 9. Let y be s(14). Let f = 3.1 - 3. What is the closest to -1 in f, y, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -342 + 488. Find the second derivative of -24*l - 4*l - 9*l - 41*l + a*l**5 wrt l.\nAnswer: 2920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211 (base 3) to base 6\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = v - 2*a, -3*a = -5*v - a - 14. Calculate the common denominator of ((-35)\/70)\/(((-56)\/62)\/v) and 45\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*j + 1826 = 0, 0*g = -5*g - 3*j - 4630. What is the hundreds digit of (2 - 1)*(30 - g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 0.1, -2\/5 in decreasing order.\nAnswer: 0.1, -2\/5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 195668279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-5 - -4) - (9\/(-21) + 1).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -262482 by 2134.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 + -99. Let o = -283 + 286. What is the third biggest value in o, t, 0.18?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - r. Let u(i) = 2*i**2 - 7*i + 1. Give 4*n(b) - u(b).\nAnswer: 2*b**2 + 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.4, -12, -2, 5, -2291 in descending order.\nAnswer: 5, 0.4, -2, -5, -12, -2291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**3\/6 - k. Let x(l) = 9 + 2*l**2 - 9. Give x(v(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3 - (-1)\/(2*(-3)\/(-702))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2752 + 412?\nAnswer: 3264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/21528 and -111\/171626.\nAnswer: 6178536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c. Suppose 3*p = -k + 9755, 0*p + p - 3230 = 4*k. Let u(v) = -p - 20*v**2 + 3250. What is u(l(n))?\nAnswer: -500*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21288601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54405*l**3*r**2 - 2113*l**3 + l**2*r**2 - 78*l**2 - 2*l*r wrt r?\nAnswer: 108810*l**3*r + 2*l**2*r - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-44)\/33)\/((-2)\/3). Let s(j) = j - 1. Let t(n) = -3*n + 0*n + 2 + 0*n + 0*n. What is l*t(m) + 5*s(m)?\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16000 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/15, -0.244, 2\/3, 5, 1\/6, 6\/65, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23110 + -2?\nAnswer: 23102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -n + 4 + 4, 2*p - 2*n = -4. Suppose -p*v + 6 = -v + a, 5*a - 18 = v. Let w(k) = -k**2 + 7 + 0*k**3 + 6*k + k**3 + 0*k**2 + 7*k**v. Give w(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + p**2 + p + 1. Let i be w(-1). Let h be i - 0\/1 - 14. Let c = -2 - h. What is the greatest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15040 + 45119\/3. Suppose -2*p - 8 = -2*c + 4*c, -20 = 5*p - 2*c. What is the third smallest value in v, p, -15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -2215656202?\nAnswer: -2215656200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 9. Which is the closest to -8? (a) f (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 3*p + 240, 5*d + 2*p - 3242 = 0. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/7)*z*z\/(z\/(z**(-4)\/z*z))*z**5*z*z**(-10\/11)*z*z assuming z is positive.\nAnswer: z**(348\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15189 - -15201. Let u(p) = p**3 - 11*p**2 - 14*p - 16. Determine u(t).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 39. Suppose -o*h - 30 = -5*h. Suppose -i + k = -h, 5*i - 43 = -6*k + 3*k. What is the highest common divisor of i and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a - 3*a + 5*a + 6 + 4*a to the form d + o*a and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2))**(-46)\/((x\/(x*x**1\/x*x))\/x)**(25\/3)*(x\/(x\/(x*x\/x**(-4)))*x**(-2\/7)*x)**(2\/11) assuming x is positive.\nAnswer: x**(-1181\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 3)*((-2 + 1)*11 + 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -31.7842124262?\nAnswer: -31.5842124262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 118 = -5*q. Let k(m) = -m**2 + 2*m + 679. Calculate the lowest common multiple of k(27) and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - -2) + -1 + -2. Suppose w*b = -b + 28. Calculate the highest common divisor of 14 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -3 + 5 + -7 - (282 + -287).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -5, -3, -480 in descending order.\nAnswer: -3, -5, -84, -480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -263218 rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0136612 rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 3*o**2 - o**2)*((0 - 2 - 2)*(-1 + 8 + 0) - 12 - 8 - 14).\nAnswer: -62*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26864150 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -18*l + 100. Suppose 2*n = l*b - 3480, -3*b + n + 3*n = -2074. List the prime factors of b.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-3\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 15*o. Let x(t) = -9838*t**2. What is l(x(z))?\nAnswer: -147570*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 - 0) - (25 + -26)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 5\/51, -4398, 0.4?\nAnswer: -4398","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - b**2 + 3*b - 1. Let q be z(-3). Let v(l) = -l + 13. Let w be v(q). Solve 5*h = 4*t - 5, 0*h + 5*t + w = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v*v\/v**(2\/13)))\/v)\/v*v**(1\/3))\/(v**(1\/6)\/(v**(-2)\/v))*((v\/((v*(v**5\/v*v)\/v)\/v))\/(v\/(v\/v**(-6))*v))**(-46) assuming v is positive.\nAnswer: v**(-7541\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 5:24 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/24 - (-7)\/4. Let q be 1 - (3 - 1)\/1. Put 1\/5, q, l in descending order.\nAnswer: l, 1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46\/70 - (1 + 0). Let d = -1\/7 - u. Let z be 4 + 362\/(-84) + (-2)\/(-12). Which is the second smallest value? (a) z (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 - 11*o**2 - 15. Let n(q) = 9*q**3 - 12*q**2 - 16. Let k(f) = 5*f**3 - 6*f**2 - 8. Let x(u) = 11*k(u) - 6*n(u). Determine 6*l(t) + 11*x(t).\nAnswer: -t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y**2 + y + 2. Determine o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4964101?\nAnswer: 4964101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q + 13*q = 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190b99 (base 13) to base 8.\nAnswer: 2317067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 - -1 - 3) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -217 (b) -1280 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n - 4182*n**3 - 4*n**2 + 0*n - n - 163*n**3 + 7 wrt n?\nAnswer: -26070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/14 - ((-264)\/(-42) + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115880 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m - 49. Does 7 divide o(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 1)\/((-4)\/138). Suppose -p = -2 - 64. Suppose 0 = -4*x - n + z, 2*n + p = -x + 5*x. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5808 is divided by 61.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 1, t: 1, b: 1, e: 2}. Give prob of sequence be.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 44 = -94*p + 98*p, -7*a + 3*p = 50 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t**2 + 10*t - 10*t)*(-5*t + t + 2*t + (3 + 3 - 4)*(-3*t + 2*t + 3*t)) as m*t + n*t**3 + q*t**2 + j and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1107432172 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 6*t**2 - 9*t + 52. Calculate r(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*y = -3*w - 0*w - 0*w + 268*y + 12, -3150 = 525*y for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.032 and -3863.\nAnswer: -123.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -390*k + 1266. Let g be t(3). Calculate the greatest common divisor of 1032 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22, -24, -168, -464, -966, -1728?\n\"Answer: -9*y**3 + 5*y**2 + 2*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-260)\/(-25) - 4\/10. Suppose 0 = -3*u + 5*b - y + 35, 4*u = -3*b + 43. Suppose 3*a = -u + 43. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 divided by 974659?\nAnswer: -100\/974659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 - 62 = -2*u. Let z = -138 - -102. Let s be ((-4)\/(-1))\/((-9)\/z). Calculate the greatest common divisor of s and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37890 and 16840?\nAnswer: 151560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 79\/2 = 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -123*w**5\/20 + 273*w**2\/2 - 928*w. What is the first derivative of j(c) wrt c?\nAnswer: -369*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 0.4, 1, -54?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 528*b**3 - 3222*b**2 + 4860*b.\nAnswer: 2*b*(b - 3)**2*(b + 270)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w. Let d be m(1). Let z = 22 + d. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30367000654 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8588307 and 1141?\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 5*t. Let r be q(5). Let v = r - -5. Suppose -54 = -31*l + 13*l. Put v, -4, l in descending order.\nAnswer: v, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/70 and -111\/1360.\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1225, 4123, 8967, 15757?\n\"Answer: 973*a**2 - 21*a + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**2\/7 + 20*b + 402\/7 = 0.\nAnswer: -67, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8259.875 litres in millilitres?\nAnswer: 8259875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 2*l - 3*n = -13, l + 3 = 5*n. Factor 4*g**3 - 9*g**2 + 5*g**l - 2*g - 3*g**3 - 3*g**3.\nAnswer: -2*g*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/2 and -8.5557 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -142 in 209, 2\/3, 0.16, 5, 0.3?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(2057) - sqrt(2057)*-3)*-5)**2 + (3 + sqrt(612) - (0 + sqrt(68))).\nAnswer: 4*sqrt(17) + 822805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951 is divided by 776?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*q**2 + 225 + 106*q**2 - 79 - 44 - 55.\nAnswer: 144*q**2 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r = 23*r. Let b be ((-15)\/2)\/(-5)*10. Let s = 226 - 230. Sort r, b, 5, s.\nAnswer: s, r, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6077591 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*x - 208*x + 21 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 496, 987, 1478, 1969, 2460, 2951?\n\"Answer: 491*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - -6. Let m be 12\/10*25\/r. Suppose -3 = m*n - 27. What is n rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -11. Let i = o + -12. Let s = -1 - 0. Is i at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3303 - 3303 - 118*w)*(-11 - 7 + 6)*(0 + w + 0).\nAnswer: 1416*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27023 or 33095?\nAnswer: 33095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*l + 19, -5*p - 3*l = -26 - 31. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (-2 - 5 - ((-21 - -12) + 9))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/23 (b) 0 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87497889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2. Let k(q) = -q**3 + 5*q**2 + 48*q - 10. Let l be k(-5). Let m(a) be the second derivative of 0*a**2 - 2\/3*a**3 + l + 21*a. Calculate s(m(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -3*g**4\/20 - 3948*g**3\/5 - 7793352*g**2\/5 - 6837367488*g\/5 - 11540. Factor a(x).\nAnswer: -3*(x + 1316)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 77*m - 50. Give w(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196 and 7?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -722 (base 8) to base 6\nAnswer: -2054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times -1.2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/18, -0.1, -2, 30784 in descending order.\nAnswer: 30784, -0.1, -5\/18, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41, -46, -55, -68, -85?\n\"Answer: -2*h**2 + h - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + k + 3)*(0*k**2 + 2*k**2 - 4*k**2) + (2 - 2*k**3 - 2)*(-1 + 1 - 2) + 3*k**3 + 3*k**2 - 3*k**2 + 1 - 1 + 2*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 7:15 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4688 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 9720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4297*r**2 - 42 - 28 - 40 + 133 - 23.\nAnswer: -4297*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 31405 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106.32 + 108.72. Which is the smallest value? (a) p (b) -0.4 (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.048 in -194, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 185?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 8*d - 11. Give h(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6408193 to the power of 1\/2, to the nearest integer?\nAnswer: 2531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 - 1.95. Let u = -1.4 - c. Let s = -3.6 + u. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 2*n - 6. Suppose -3*d - 2*x = 17, -d - 2*x = 5 + 2. Let c be v(d). Suppose -14 + c = -5*t. Calculate the lowest common multiple of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -1) + 20 + 2 + -22.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**2 - 5*u - 11. Let p(d) = -2*d**2 + 1. What is 5*p(m) + s(m)?\nAnswer: -3*m**2 - 5*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**2 + 279. Let q(u) = 115*u**2 + 51*u**2 + 10*u**2 - 19*u**2. Calculate q(g(y)).\nAnswer: 628*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 0*h**2 - 20\/3*h**3 - 2\/3*h**4 + 0*h + 0 = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 95*n**2 - 36*n**2 + 2 to o*n**2 + q + d*n and give o.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -364040.3 to the nearest one thousand.\nAnswer: -364000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(0\/1 + 1). Let z(b) = -b - 1. Let q(u) = 2*u + 2. Give w*q(k) + 4*z(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1734300 to the nearest ten thousand.\nAnswer: -1730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 - 82. What is the common denominator of -7\/8 and 124\/l*(10\/12 - 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (67 + -54)\/((-2)\/(-184)) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438 = 2*f - 3*f + 421, -12*f - 196 = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 506235 + -511326.604. Let f = w + 5081. Let s = f + -0.096. What is s rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -1 + 48 + -50. Let k be f - (-4 - 7\/7). Let r be 7\/2 - (-3)\/(-6). Solve -4*c - r*g + k*g - 26 = 0, 3*c + 3*g = 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9357 times 2\nAnswer: 18714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1187 - 1.2778.\nAnswer: -1.1591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009773537 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 7*p**2 + 2. Let z be b(7). Factor -2*s**5 + 128*s + 3*s**5 - 123*s - 10*s**z - 1 + 10*s**3 - 5*s**4.\nAnswer: (s - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -357*(-15)\/105*-3*3\/27?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-13)\/5)\/((-4)\/40).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + 5*d + 305 = 0, 4*d - 196 = -2*y. Suppose -5*k + 135 = -y. Let c = -37 + k. Solve 6*l - 19 = -a + l, 3*l = -2*a + c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -52*s - 18. Calculate the remainder when 5 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, u: 1, l: 1, b: 1, x: 1}. Give prob of sequence lb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010101111 (base 2) to base 8.\nAnswer: 2257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9595 * -0.078.\nAnswer: -748.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 11 = 5*j, 5*j - 178*y + 17 = -181*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 2627040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50493203 is divided by 247.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -29. Which is the third smallest value? (a) -5 (b) z (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95b3 (base 16) in base 6?\nAnswer: -453231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m**3 - 3 + 259*m**4 - 5*m**3 - 257*m**4 + 11*m**3 - 3 + 5*m to the form p*m**2 + b*m + a + x*m**4 + w*m**3 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 10, -5*c + 23 = 556*h - 557*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8*z - 187. Let h be y(24). Suppose -7*s + 6*s + 3*p = 7, 16 = h*s + 2*p. Which is the closest to -2? (a) s (b) -2\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u**2 + 28*u + 7. Let x(h) = -4*h**2 + 29*h + 7. Let t(i) = -2*n(i) + 3*x(i). What is the remainder when 504 is divided by t(15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**3\/6 + 2*l. Let u(o) be the second derivative of -23*o**4\/12 + 638*o - 2. Calculate a(u(h)).\nAnswer: 23*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 13*v + 12 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 - 41364015593.\nAnswer: -41364015592.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 45*m - 26. Let f be i(-44). Solve 5*n = 2*q, 4*q + n + f = -4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/1470 and 37\/114.\nAnswer: 27930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 10*b**2 - 10*b - 9. Give v(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - 1. Let x = r - -22. Let j be x\/6*63\/(-12). What is j rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-280)\/315)\/((-8)\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((-4)\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 48.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 times -1958\nAnswer: -2545.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - 4*h - 2. Suppose 0 = 9*s - 46*s - 111. Calculate r(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2355828629.\nAnswer: 7, 11, 30595177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4295 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttotttoottttttto. What is prob of sequence oot?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w + 6. Let m be d(6). Let g(r) be the first derivative of r**3\/3 + 6*r**2 + 3*r - 96. Let s be g(m). Solve 8 = -s*q - q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/18 - -19\/72. Sort 1, 3, 2, w in ascending order.\nAnswer: w, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**4 - 12*h**3 - 40*h**2 + 300*h - 250 = 0.\nAnswer: -5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36040780 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 92759 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 43 = 3*d, -10*n + 4*n - 60 = -4*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**3 + 7*u**2 + 5*u + 1. Let o(g) = g**3 - g**2 - g + 1. Let w(k) = 4*o(k) + p(k). Let a be w(-3). Suppose a*r = -0*r + 38. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 + 151. Suppose -b = 5*z - 292, 1331 = 5*b - 2*z - a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 - 5*i**2 - i**2)*(2 - 2 - 3)*(1 + 1 - 6)*(-2 + 5 - 2).\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23\/147 - 2\/147. Let w = -123\/13 + 3483\/364. Let u = w + v. Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 2*p**2 + 2*p - 1. Let s be m(2). Let q be 630\/s*18\/5. Let t be (-1)\/(-2) - q\/(-8). Calculate the highest common divisor of 38 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.443, -2, -0.4, 247, -24, 4 in ascending order.\nAnswer: -24, -2, -0.443, -0.4, 4, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.032*458597\nAnswer: -14675.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/((u**5\/u)\/u)))\/u**(-2\/3))\/(u\/(u*u**(-4\/13))*u\/(u\/(u\/(u\/((((u\/(u*u\/(u\/(u*u**(-2\/25)))*u))\/u)\/u)\/u))*u)*u*u)))**(-7\/5) assuming u is positive.\nAnswer: u**(-63329\/4875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.112414*-4.\nAnswer: 4.449656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2371 = -4*p + 368, -4*p = a - 1979. What are the prime factors of a?\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5397\/1361 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - n + 6 = 0, 4*b - 3*n - 6 = 3*b. Let h(r) = -2*r**2 - 8*r + 2. Let d be h(-4). Let c(f) = -13 + 25 + d*f - 16. Calculate c(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 5*z - 2. Let t(n) = -8*n**2 + 10*n + 17. What is 2*p(w) - t(w)?\nAnswer: 10*w**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -334, -1352, -3040, -5392, -8402?\n\"Answer: b**3 - 341*b**2 - 2*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = -11*k + 10, -3*x - 4*k - 35 = -k - 2*k + 5 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 - 26\/18*-5. Suppose 4*r = h*r - 12, 0 = 4*t + 3*r - 2036. What are the prime factors of t?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**6\/5 + 3*u**2\/2 - 6*u. What is the derivative of v(z) wrt z?\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1. Suppose i = 12 - 8. Suppose i*u = 3*g + 2*g + 14, 5 = -u - 3*g. Let r(c) = -c + 5. What is u*r(s) + 4*z(s)?\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21547 + -21546.9031. What is the second smallest value in -5, s, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = i - 5*h, -3*i + 4*h = -0*i + 12. Sort -5, -10, i in decreasing order.\nAnswer: i, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6071616 and -40?\nAnswer: -242864640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -7. Let k be 1\/(-11 - t\/3). Let v be -1 + 0 + 38\/34. What is the third biggest value in k, v, 2\/15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = b + 4. Let r be (b\/2 + 0)\/1. Solve 17 = r*s + 42 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*l, v - 1465 = 2*l - 347. Let d be ((-204)\/(-18))\/(-1 - 25\/(-15)). Suppose v = 23*o - d*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.232 + -5.132. Which is greater: o or 1\/102?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70960167?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -43.2228619 and 0.14.\nAnswer: -43.0828619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4734, -9396, -14058, -18720?\nAnswer: -23382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109896 divided by -2.\nAnswer: 54948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -438, 3, -1, 15\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2\/13 (c) 4 (d) 0.3 (e) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8dda (base 16) to base 11.\nAnswer: 25313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -1318574.\nAnswer: 9230018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -24.9. Let w = 0.4 + -2.4. Let u = w + s. What is the closest to 0 in 0.2, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*r - 31*r = 2828 - 3540 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/290, 11\/2, -0.4, -2\/7, -3\/4 in descending order.\nAnswer: 11\/2, 9\/290, -2\/7, -0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25)\/(-2)*(-1 - (9 + -12)). Solve 8*m + 7 + n = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2728)\/(-33))\/(21328\/2752).\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21347100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*18\/12*2. Solve -b = -5*z + 2*x, 0 = -4*z + 4*x - 0*x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**4*s + 18226*f**4 + 194*f**3*s - 467240*f**2*s - 6*f*s + 1 wrt f?\nAnswer: -48*f*s + 437424*f + 1164*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-184)\/138)\/(3\/(-54)) and (-33*1)\/(-1*1)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**3 + 296855386448*c**2 - 296855386448*c**2.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {m: 3, s: 1, y: 1, u: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -601, -2434, -5491, -9772, -15277, -22006, -29959?\nAnswer: -39136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74280*b*q**2 + 24363*b*q + 2*q**2 - q wrt q?\nAnswer: -148560*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1249\/2 + 602. Find the common denominator of d and (-2)\/((-30)\/(-8) - 6\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1126, 2254, 3382, 4510, 5638?\n\"Answer: 1128*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74074 = -874*f - 1971*f + 843*f for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 228*k - 16419. Calculate a(72).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55 and -2.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2585 and -5.\nAnswer: -4.7415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/5)*b)\/((((b\/(b*b**5\/b))\/b)\/b)\/b)*(b**(-3\/5)\/b)\/(((b*b**(2\/11))\/b)\/b)*(b*(b*b**(2\/5))\/b*b**4)\/(b**(-1\/5)\/(b\/b**(-4\/5))) assuming b is positive.\nAnswer: b**(848\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 1. Let k(x) = 17 + 8*x + 9 + 11 - 43. Determine k(c) - 6*u(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754 is divided by 151?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 167823983837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 16*f**2 - 234*f + 341. Calculate k(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4785*m - 5114*m - 9870 = 0 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 956*b - 909. Is p(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157531 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (10 + -3 - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156 + -12. Let c be (0\/1)\/(16\/(x\/(-27))). Let y(s) = -s**2 + 7*s - 7. Let z be y(5). Solve w + z*w = c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -11*w**2 - 6*w - 6. Let l(a) = 781*a**2 + 451*a + 209. Let b(m) = -26*m**2 - 15*m - 7. Let c(f) = 121*b(f) + 4*l(f). What is 6*c(v) - 11*j(v)?\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**8\/2880 - u**6\/720 - u**5\/30 + u**3\/6 + 3*u**2. Let t(y) be the third derivative of x(y). What is t(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 17 in descending order.\nAnswer: 17, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 9. Let x = -5 + d. Let q(h) be the second derivative of -h**4\/12 - h**3\/6 - h**2\/2 - 5*h. Let i(f) = f**2 + 5*f + 2. Calculate x*i(p) - 3*q(p).\nAnswer: 2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5\/6 - a**4\/6 + 73*a**3\/6 + 181*a**2\/6 - 42*a = 0.\nAnswer: -7, -4, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3 + 8*m**2*w + 53*w + 3 wrt m.\nAnswer: 3*m**2 + 16*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7353 = -8*f - 7409 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -360 + 380. What is the lowest common multiple of n and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-624)\/(-32)) + (-11)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*j - 156*j + 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 724593 divided by 1\nAnswer: 724593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-16)*2*-2*(-10)\/45. Which is the smallest value? (a) 1082 (b) 2\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143\/255 - -2\/51. Which is the nearest to -6? (a) j (b) 5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 187, 5, -75, 2.\nAnswer: -75, -5, 2, 4, 5, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 6*o - 2. Let w be u(6). Let n(i) be the third derivative of -i**5\/60 - i**4\/6 - i**3\/2 + 14*i**2. What is the units digit of n(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26317 - 6900 = 3085*f + 101466 + 53691 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1425511, -1425504, -1425497?\n\"Answer: 7*t - 1425518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 9) in base 4?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4333161.\nAnswer: 3, 7, 206341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (490\/(-4165))\/((-1)\/34).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 240\/50*(-10)\/(-4). Let c be -2 + (-3 + r)\/3. Solve -3*k = -c + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 4. Let i(j) = j**3 + 5*j**2 - 2*j - 6. Let p be i(b). Suppose -3*a + 69 = 4*s, 3*a - 31 - 2 = -2*s. What is the highest common divisor of s and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2204 + 1358. Let k = j + 1389. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.6501 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0133 - -1.9867. Let o = -0.13 + 0.25. Which is the nearest to 1? (a) o (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*v**6 - 15*v**2 + 302*v**6 - 300*v**2 + 1549*v**6 - 111*v**6 wrt v.\nAnswer: 211440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 15. Let s(m) = m + 15. Let v(d) = 7*s(d) - 6*t(d). Suppose 52 = -7*b + 3*b. What are the prime factors of v(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9636, 9596, 9556, 9516, 9476?\nAnswer: 9436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/11 - 688*m\/11 + 21630\/11.\nAnswer: 2*(m - 309)*(m - 35)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27880 and 1700.\nAnswer: 139400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4640*q**3 - 4 + 5*q**2 + 3 + 1169*q**3.\nAnswer: 5809*q**3 + 5*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -18*g**3 - 21*g**2 - 60*g + 48. What is the remainder when 2211 is divided by w(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4)*-1*0)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -88 - (0 - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fciwinnw. Give prob of picking 1 i and 1 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*h**4 - 9*h**3 - 1130*h wrt h?\nAnswer: 684*h**2 - 54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 2*f + 4. What is v(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -455, -1530, -3617, -7052?\nAnswer: -12171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 12:32 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/28 + (-44)\/(-70). Let l = 69.39 + -67.39. Sort j, 2\/3, -3\/16, l.\nAnswer: -3\/16, j, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 902808 is divided by 175?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b - 7. Let h be c(5). Let a be (-2)\/5 + (-24)\/(-10). Suppose 0 = -a*l + 5*l - h. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 1 (c) 179 (d) 856\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6) + 19\/(-3). Suppose 1124 = -375*y - 1. Put y, -11, 3, t in ascending order.\nAnswer: -11, t, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105435 by -5.\nAnswer: -21087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/y*y)**(-30\/11)\/(y*y**(4\/3)\/y*y*(y*y\/((y**4*y)\/y))\/y)*(y**(-1))**(-32)*(y**(-2\/17)\/y)\/(y\/(y*((y\/y**(-5)*y)\/y*y)\/y)) assuming y is positive.\nAnswer: y**(1915\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5500, 7014, 8528, 10042, 11556, 13070?\nAnswer: 14584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -53014, 43, -7 in ascending order.\nAnswer: -53014, -7, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, f: 3, w: 4}. Give prob of picking 1 w, 2 o, and 1 f.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + -5 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/(-2025) - 4147\/(-825). Let k be (-6)\/(5\/2 - 1). Put k, 162, m in ascending order.\nAnswer: k, m, 162","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10940.14 minutes to nanoseconds.\nAnswer: 656408400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 466. Let z(p) = -8*p**2. Determine b(z(i)).\nAnswer: 8*i**2 - 466","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2, -0.08, -1\/746?\nAnswer: -1\/746","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 21 = -5*n, 3*n = 2*v + 14 + 3. Does 3 divide (v - 0)\/((-1)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 + (-26)\/6. Suppose -3*p + 308*v - 303*v + 25 = 0, 0 = 3*p + 5*v + 25. Sort 5, n, 2, p in decreasing order.\nAnswer: 5, 2, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**2\/2 + 223. Let f(p) be the third derivative of -5*p**5\/12 + p**2. Determine f(w(j)).\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 - 14*k**2 - 13*k + 11. Is j(10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -340, -331, -322, -313?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420 and 9166220.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/61603 or -1?\nAnswer: -2\/61603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -655, -668, -681, -694, -707?\n\"Answer: -13*i - 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1087*l**5 - 1080*l**5 - 3*l**2 - 4*l**2 wrt l.\nAnswer: 420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Suppose -7*d - 28 = -3*d. Let l(i) = 2*i**3 - i**2. Let c = -223 + 222. Let z(n) = 3*n**3 + 5*n**2 - 8*n + 2. Let h(j) = c*z(j) + l(j). Give h(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 693 = -27. Let j = 263 - t. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54000 and 48?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028573 plus -13374?\nAnswer: -13373.971427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3 + ((-1 + 5 - 2)*(-2 + 2 + 3) + 1 + 1 + 1)*(4 - 2 + 10))*(0*r + 0*r - r).\nAnswer: -110*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*q - 2*q + 4*q)*(-2*q + 2*q + q) + 2 - 2 - 2*q**2)*(-4 - 7 - 2 + 2 - 4 + 0 + (-4 - 3 + 5)*(3 - 2 - 2) - 5 + 6 + 0 + 1 + 4 - 3).\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 299493 and 24?\nAnswer: 2395944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -5267048.\nAnswer: 1\/5267048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/6, 8\/9, -97, -1, 0, -169.\nAnswer: -169, -97, -7\/6, -1, 0, 8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2015 - -2895. Round k to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/(sqrt(10) + (sqrt(810) - -1*sqrt(810))))\/(4*sqrt(720)*-5).\nAnswer: -sqrt(11)\/4560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20066 divided by 329.\nAnswer: 20066\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119645 is divided by 106335.\nAnswer: 13310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 2*y**2 - y + 2. Let c(p) be the first derivative of -p**2\/2 - 9*p - 3. Let h be c(-6). Determine j(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 82.8 in -9, -2\/3, 5, 0.4, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.13, 3, -0.71, 0.3 in descending order.\nAnswer: 3, 0.3, -0.71, -2.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -235 + (-8)\/4*(-1)\/2. Let z = 385 + a. What are the prime factors of z?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (12\/5)\/((-147)\/(-140)). Which is smaller: 73 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 510239770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 872.3779 litres in millilitres?\nAnswer: 872377.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*v**3 + 4*v + 77*v**3 - 6*v.\nAnswer: 137*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 832703863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/108*(-6)\/15.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -849870 = 1927*m - 1564*m - 9309*m for m.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 464800317 divided by 154933439?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162 + 160)*26\/(-2080).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = d - 1, 598*o + 2*d + 4 = 599*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 135981206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, x: 2, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*q**5\/13 - 824*q**4\/13 + 4344*q**3\/13 - 10144*q**2\/13 + 9344*q\/13 - 1536\/13 = 0.\nAnswer: 6\/29, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 152416945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 140899 a multiple of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.33 - 0.77. Let a = 3.902 + 25.098. Is f less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 444\/9623?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 591. Let m(l) = l. Calculate m(y(u)).\nAnswer: 2*u - 591","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:12 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/104263 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 5) + 10 - (-2 + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49913, -99715, -149423, -199031, -248533?\nAnswer: -297923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 408900 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 122016*l - 4 + 122018*l)*(-9*l**3 + l**3 - 7*l**3) to u*l**3 + o*l**2 + r + m*l**4 + v*l and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -14 - -7 - 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 49803.78?\nAnswer: -2988.2268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 81, 76, 69, 60?\n\"Answer: -c**2 - 2*c + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + -16 + 65 + (12 - 6) + -81 + -2?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 12*r**2. Let i be a(1). Let y(c) = 5*c - 63. Let f be y(15). Calculate the highest common divisor of f and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*f - 2768 = 27*f + 1477 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 a when four letters picked without replacement from aailzznlnjjzjjna?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 - 2426075*x - 4852151\/2.\nAnswer: (x - 4852151)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*p - 726*p - 28167 = 2521 for p.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/13)*s*s*s*s**(-4\/7)*s*s)\/(s\/s**(-2))**24 assuming s is positive.\nAnswer: s**(-6135\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -1\/83?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-18) - 39\/(-18). Suppose -b*q - 4*l - 2 = 0, 3*q + 4 = 4*q - 3*l. Let i be 34\/168 - (-4)\/(-14). Is q not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1610 - -1664. What is the remainder when r is divided by (-1 - 1)*-1*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*4*1*sqrt(153))**2.\nAnswer: -480*sqrt(17) + 61216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, -0.3, -63\/10, 0.16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 17. Suppose 4*t - 2*t - 4 = a. Let n(b) = 5*b**3 - b**3 - b - b**t - b**3 - 4*b**3. Let d(g) = -4*g**3 - 3*g**2 - 3*g - 2. What is -d(k) + 3*n(k)?\nAnswer: k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2\/17, -58, 2\/3, -61, 1.1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -430 - -431. Suppose s = -s + 12. Suppose -s = -4*a + 2. Sort 19, p, a, 1\/6.\nAnswer: 1\/6, p, a, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/11 in 3, -2\/25, -3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + sqrt(1300))*6*-3)\/(-1*(sqrt(4) - (3*sqrt(16))\/sqrt(4)))*-2.\nAnswer: 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 78 = 6*m. Find the third derivative of -67*x**5 + 8*x**5 - x**2 - m*x**2 wrt x.\nAnswer: -3540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3f86c + -3?\nAnswer: 3f869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 405 and 3075645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20963219?\nAnswer: 20963219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1506 is divided by 74?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*h + 0 + 0*h**4 + 4\/9*h**3 + 0*h**2 - 2\/9*h**5.\nAnswer: -2*h*(h - 1)**2*(h + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1411 or 1?\nAnswer: 1411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/13 - (-1 - -1). Let u(g) be the third derivative of g**4\/24 + g**3\/3 + 5*g**2. Let d(w) = w. Give z*d(s) + u(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31696219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 - 7170194*q\/5 + 7170196\/5.\nAnswer: -2*(q - 1)*(q + 3585098)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-1) - 1)*-135. Let z = a - -576. Suppose -7*w = -3*w - 76. What is the highest common factor of z and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*k - 12299985, 3*k - 8*k + 15 = 0. Suppose -3*o - f = -0*o. Round o to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -3*n**4\/4 + 5*n**3\/6 - 3*n**2 + n. Let s(b) = -26*b**2 + 14*b - 17. Let w be 39\/52*(-23 - -15). Calculate w*s(p) + 17*o(p).\nAnswer: 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - ((3 + 8 - 6) + 2 + -6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 2*t**5\/35 + 89*t**4\/14 + 1348*t**3\/7 + 1760*t**2\/7 - 7744*t\/7 + 829. Determine y so that i(y) = 0.\nAnswer: -44, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -864386*a*l**2 + 1688*a*l - 1839*a - l wrt l?\nAnswer: -1728772*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 x when four letters picked without replacement from apnapaaapnaaxp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2086, 1982, 1878, 1774, 1670, 1566?\nAnswer: 1462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-35 - 1)*2\/(-3)*5. Let x = u - 103. Suppose -5*z + x = -4*g, -4*z + 0*z + 10 = -5*g. Solve -5*y - g*t - 7 = 0, -2*y + t - 14 = -t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1576*t - 828 - 1403 = -655 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 16)\/2*6\/12. Suppose 30 = 3*s - q*s. Let z = -29 - s. Which is the nearest to 5? (a) z (b) -0.2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, o: 1, k: 1, b: 2, m: 5, u: 3}. Give prob of sequence kbuo.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 556.5 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*i + i. Let f(t) = t**3 - 10*t**2 - 9*t + 2. Let s be f(11). What is the highest common factor of s and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -2*n**2 - 1\/15*n**5 + 0 - 3\/20*n**6 + 3\/4*n**4 + 0*n + 2\/3*n**3. Let t(c) = 0. What is c?\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Suppose -4*r - 5*j = -28, 4*r + w*j = 4*j. Suppose -r*k = 3 - 15. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 10:02 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 979791594 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)*c**(2\/5)\/c)\/(c*c*c*(c\/(c**1*c))\/c*c)**(-39) assuming c is positive.\nAnswer: c**(2719\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 17 = 3*y - 3*m, 5*y + m = -1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(2) + sqrt(48)\/sqrt(6) - 3*(sqrt(2) - (sqrt(12)\/sqrt(6))**2).\nAnswer: sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 635460 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oopewoplojojpeplol. Give prob of picking 1 o and 2 e.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24272280 a multiple of 382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*d**3\/6 + 220877*d**2\/3 + 946676*d\/3 + 252448\/3 = 0. Calculate d.\nAnswer: -4, -2\/7, 63112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(450)\/(sqrt(250)*-5) + 5*(5*(sqrt(45) + -1) + sqrt(45)))**2.\nAnswer: -15381402\/125 + 13482*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 20 = 4*s. Suppose -3*z = -5*z + s. Suppose 24 = -0*r + z*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -16?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*w**2 + 2 + 86*w**2 + 64*w**2 + (-6*w**2 + 0*w**2 + 4*w**2)*(-5 - 1 + 5) in the form u + c*w**2 + q*w and give c.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14 * 8724759\nAnswer: -122146626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-315)\/35*((-51)\/144*-14 - 5)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 120 - 87. Let d = 4 - -1. Let a be ((-2)\/d)\/(s\/55). Solve -1 = -g - a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k + 7 - 7)*(4*k - k - k)*(14 - 16*k**2 - 14) + 3 - 3 - 2*k**4 to the form p*k + o*k**2 + q*k**4 + b*k**3 + y and give q.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16676072 by 49.\nAnswer: -340328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 + 29*a**2 - 12*a**2 in the form t*a + x + g*a**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101101 (base 2) in base 13?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -28. Let y = 10 + g. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2. Let v(p) = 0 - 4*p + 0. What is v(t(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -149?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -534872 rounded to the nearest 1000?\nAnswer: -535000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.17 greater than 0.726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**5*x + 2*i**5 + 3*i**3 + 40*i**2 + 2*i*x wrt i?\nAnswer: 180*i**2*x + 120*i**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 9) + -9 - (50 - (-1)\/(-2)*-6)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -114*b**4 + b**3 + 364 wrt b?\nAnswer: -456*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {m: 3, y: 7, p: 4, a: 4}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -215, -771, -1725, -3071, -4803, -6915, -9401, -12255?\n\"Answer: k**3 - 205*k**2 + 52*k - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.076 + 102.076. Let n = t - 130.5. Round n to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2320 and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 69*p - 113. List the prime factors of s(-25).\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 675.205mm?\nAnswer: 0.000675205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4672 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2795 is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 270.159582154.\nAnswer: 270.459582154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -37*a - 196. What is o(-8)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2947402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9675*n**3 - 4842*n**3 - 4835*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**4\/12 - p. Let l(w) = 5*w - w - 5*w. Determine i(l(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4554 - -7891. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2 + 3*u - 7. Let b(i) = 5*i**2 + 3*i - 8. Let h(j) = -5*b(j) + 6*y(j). Factor h(m).\nAnswer: -(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1886580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -5 (c) 1 (d) 0.5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, g: 13, u: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -115 + 159. Suppose 0 = -2*r - o + 4, -4*r + 19 = -5*o - 17. Suppose -2*s + 37 = s + z, -4*s + c = -r*z. What is the greatest common divisor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7923.349 millennia in years?\nAnswer: 7923349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -78*t - 34. Let b(x) = -38*x - 15. Determine -7*b(k) + 3*y(k).\nAnswer: 32*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2018 by -15729.\nAnswer: 2018\/15729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 7\/4, -0.2, 5, 3.8, 15?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45854621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -167 divided by -167\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -c + 3*h, 26 - 5 = 5*c - 3*h. Let k(g) = g**3 - g**2 + 2. What is the lowest common multiple of k(c) and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2436 and 14300?\nAnswer: 8708700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**3 + 3*v**2 - 3*v - 3. Let g(h) = h**3 + h**2 - h - 1. Let t be 1*(1 + -2 + 2). Let i be t\/(2 - (-25)\/(-15)). What is i*g(f) - o(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/88 + (-8)\/(-64). Which is the fourth biggest value? (a) f (b) -2 (c) 0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eheeddhhe. Give prob of sequence eed.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 36*p + 399.\nAnswer: -3*(p - 7)*(p + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*z**3 - 68*z**3 - 4641 - 48721.\nAnswer: 3*z**3 - 53362","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6350 + -6649. Let r = -1389033077\/106887 - -455\/19434. Let s = r - h. Calculate the common denominator of 85\/16 and s.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/14)\/(1320\/28980*-23)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 11*i**3 - 2*i**2 + 8*i. Let u be (18\/(-12))\/3*-14. Let z(x) = 6*x**3 - x**2 + 4*x. Determine u*z(n) - 4*c(n).\nAnswer: -2*n**3 + n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**6\/120 + y**5\/6 + y**4\/4 - 13*y**3\/6 + 9*y**2. What is the tens digit of u(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -a - a. Suppose 5*y - 2*y - 24 = -a*x, -10 = -3*x + 4*y. Let n(p) = 6*p - p**2 - x*p. Let r(m) = 5*m. Calculate n(r(z)).\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 15 = 5. Let z be ((-10)\/4)\/((-2)\/g). Suppose d + 20 = -5*y, 0 = -4*d + 2*y - y - 17. Put d, -2, z in decreasing order.\nAnswer: z, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23.404 + -23. Let j = y + -0.004. Which is the closest to 0.03? (a) j (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 5*v**2\/4 + 235876255*v\/2 + 11127521534565005\/4 = 0.\nAnswer: -47175251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000672278 to seven decimal places.\nAnswer: -0.0000672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, p: 5}. Give prob of picking 1 p and 3 c.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/((-4)\/144). Let j = s - 9. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9886, -9803, -9654, -9439, -9158?\nAnswer: -8811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -9611 (c) 0.1 (d) 5 (e) -0.0327\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 25*d = 24. List the prime factors of (392\/32)\/(2\/d).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, l: 1, f: 2, k: 1}. Give prob of sequence fk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(-29\/5))**(2\/147) assuming w is positive.\nAnswer: w**(-58\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 78, 238, 524, 972, 1618, 2498?\nAnswer: 3648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 (base 8) in base 3?\nAnswer: 201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*d - 40, 0 = -23*l + 18*l + 3*d + 28. Suppose -3*w = a - l*w - 13, a - w = 9. Solve 32*s = 34*s - a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (11 + 1 + -6)) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s. Let u(b) = -8*b. Calculate t(u(j)).\nAnswer: 48*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -q + 25. Suppose 7*n - 52 = 3*n. Let c = q + n. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 85870092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3464)*36)\/15. Which is the biggest value? (a) -3 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -22367.\nAnswer: 25\/22367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*1*(-2*sqrt(336) + sqrt(336)))\/((sqrt(4900)*2)\/sqrt(7)))**2 + -3.\nAnswer: -48\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-4) - 713\/(-92). Let c be (-2)\/n - 69\/(-21). Suppose -471 = -6*s + c*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b = -16*b + 15*g - 42, 5*g = 4*b + 22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -10211121202020?\nAnswer: -10211121202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*o - 22*o + 3743 = 76*o - 38*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*z**5 - 80*z**4 + 66*z**3 - 20*z**2 + 2*z.\nAnswer: 2*z*(z - 1)**2*(4*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 2)*(43 + 19*w - 43) - 3*w - w + 5*w in the form t*w + r and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2*h - 2)*(-2 + 3 + 0) - 2 + 2 - h + (1 - 2 - 2)*(0*h + 0*h - 2*h))*(-2*h**2 - 2*h**2 + h**2).\nAnswer: -21*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 - 52*m + 139. Let d(h) = -4*h**2 + 52*h - 142. Let t(o) = 7*d(o) + 6*l(o). Factor t(n).\nAnswer: -4*(n - 8)*(n - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*q**2 + 52*q**2 + 50*q**2 + 51*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - l**2 + 6*l + 7. Let n be w(-2). Put 9, n, -4 in descending order.\nAnswer: 9, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34 - (-2 + -4 + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiaiaeueiutatqaeuu. What is prob of sequence aui?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/3)*c)\/c**6*c**4\/(c*c**(-4)))**1)**(-1\/62) assuming c is positive.\nAnswer: c**(-4\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28\/49)\/((-2)\/(-14)). Let u be (176\/24 - 8)\/(p\/(-318)). Let i(h) = 8*h**2 + 5*h + 14. Let j be i(-7). What is the highest common divisor of u and j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -22. Calculate the least common multiple of 4 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 8:48 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 5.8?\nAnswer: -81.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7109*u + 6736 - 6736.\nAnswer: 7109*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2\/9 - 428*s\/9 + 280\/3.\nAnswer: 4*(s - 105)*(s - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25238.\nAnswer: 2, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p - 3 - 6*p - 14*p - 8.\nAnswer: p - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, -1, 1219 in descending order.\nAnswer: 1219, -1, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 6*x = 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-205)\/164)\/(5\/6). Which is the biggest value? (a) 26 (b) -0.1 (c) k (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2686 + -2.3486. Which is greater: -37 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5))**(18\/5))**36*((c*c*c**7\/c)\/((c*c**(-1))\/c))\/((c*c\/(c*c**(1\/5)))\/(c*c*c**(-5)*c)) assuming c is positive.\nAnswer: c**(-1141\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n. Let l(t) = 3*t. Calculate -2*l(u) + 9*m(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g = -19*g + 40. Let j be (-169)\/(-2) + -2*g\/(-32). What is the greatest common divisor of j and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -773408, -1546771, -2320134, -3093497, -3866860, -4640223?\n\"Answer: -773363*z - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 g when three letters picked without replacement from rwkgikwnniik.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 186, 434, 820, 1368, 2102?\nAnswer: 3046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/306 and -53\/18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, f: 3, l: 8, j: 2}. Give prob of sequence jfuu.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111120011120 + -1?\nAnswer: 1111120011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o. Suppose -4*m + o*m = 84. List the prime factors of (-30)\/(-8)*(-112)\/m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3212 = 15*z - 1227 + 1019. Solve -48 = -36*p - z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 382 + -204. What is the first derivative of -t + 25*l + 5*l + 19*l + 56 wrt l?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.22, 1\/10, 5, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 64 = 5*m, 7*k + 93 = 2*m - 8 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (sqrt(88) - (sqrt(88) + sqrt(88)*1 - sqrt(88))*3) + sqrt(88))\/((sqrt(8) + sqrt(72))*-3 - sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3) + 104\/12. Let y = t - 12. Let b = 5 + y. Solve -2*c - b + 7 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000214189138 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjpppp. What is prob of picking 2 p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 531 - 265. What is the greatest common factor of 38 and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 5*n + 2. Let t be p(5). Suppose 17 = t*j + z, -4*z = -4*j - 5*z + 35. Differentiate 4 + 2 - 14 - j*k**2 wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153 + -75. Calculate the highest common factor of u and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-15)\/12 - 4\/(-16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 1122.98?\nAnswer: 1122.98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -326*c + 12. Let t be k(-9). Let i be (6\/(-14))\/((-9)\/t). Let f = 140 - i. What is the closest to f in 1, 1\/6, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8655, -17313, -25971, -34629, -43287, -51945?\n\"Answer: -8658*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25486249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 8, 4*q - 2*x - 1213 - 1539 = 0. Let r = q - 391. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/l**3)*l)\/(l\/(l\/l**(-15)))*(l**11*l)\/l**(2\/15))**(-47) assuming l is positive.\nAnswer: l**(-21056\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1141, -344, -4, -1 in ascending order.\nAnswer: -344, -4, -1, 1141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 345, 624, 919, 1236, 1581, 1960, 2379?\nAnswer: 2844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1029689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 9:54 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -5*y + 10, -50*y - 2 = -53*y - q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 3:07 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddd. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*m - 2*m = 15299998, 3*t = 5*m + 15299995. What is t rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 - 3)*(-1 - 1 + 4) - 96 + 240 - 78)*(3*j - j + 0*j) in the form z + g*j and give g.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -781*v - 616.\nAnswer: -781","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(3\/2*1228\/48506)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1691*n - 10. Let y(q) = 3*q + 2. Give u(i) + 4*y(i).\nAnswer: -1679*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**2\/2 + 8*o + 12. Give b(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**3 + 28*y + 13. Let g(j) = 6*j**3 + 28*j + 13. Let q = -171 + 177. Let m(i) = q*g(i) - 7*v(i). Differentiate m(s) wrt s.\nAnswer: 3*s**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 4, x: 2, k: 1, u: 1}. Give prob of sequence xs.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 0 = -28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 769, 1306, 1573, 1570, 1297?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19033*t**6 - t**3 - 23*t**2 + 322*t?\nAnswer: 2283960*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = t - 5*t. Suppose -t*o = o. Let v(r) be the second derivative of r**4\/12 + 9*r**2\/2 + 23*r. What is v(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-10) + 414\/15. Suppose 21 + 14 = 5*i - 4*q, -4*i + g = q. Suppose f + i*z = 2*z, 0 = -3*f - 5*z + 10. Sort 2, 1, f.\nAnswer: 1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ayay when four letters picked without replacement from {y: 15, a: 4}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 3 + -6 - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-8))\/((-5)\/(-20)*-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 19*m**2 + 42*m + 2. Let u be p(21). Suppose 3*c - 77 = u*i, -40*c - i + 24 = -39*c. What is the greatest common factor of c and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41355943*c*u - 77179297*c with respect to u.\nAnswer: 41355943*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 z, 1 y, and 1 a when four letters picked without replacement from {y: 7, z: 1, k: 1, g: 4, a: 4}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 25 = -19 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5*(-6 + 9))\/(6\/152). Let t be (f + -7)*(5 + -6). Calculate the highest common divisor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 8*o**2 - 9*o + 5. Let c = -2 - -5. Suppose -c*k = k - 36. Let q be f(k). Let j(g) = -g + 5. What is j(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 312*h**2 - 627*h**2 + 8*h**3 + 313*h**2 + 2*h - 3*h**4 - 2 as i + q*h + l*h**2 + r*h**3 + n*h**4 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.85 - 0.05. Let z = t + -1.1. Which is the nearest to -1? (a) -3 (b) z (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18205*o**5*v - 2*o*v - 17294*v wrt o?\nAnswer: 364100*o**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2857594 and 6?\nAnswer: 7.7145564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 128968289789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 12. Let x(m) = -7*m**3 - 2*m**2 + 6*m. Let h(l) be the first derivative of -1\/2*l**2 + 0*l + 1\/4*l**4 + 0*l**3 + 8. Give c*h(z) + x(z).\nAnswer: -z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -870, 6, 1 in increasing order.\nAnswer: -870, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 10, 3*z = -0*m - m + 4. Suppose 3*l = -z*l + 3715. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -2*c**2 - 3*c - 1. What are the prime factors of l(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 36*u**2\/5 - 66*u\/5 - 4.\nAnswer: 2*(u - 5)*(u + 1)*(5*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13851014, 13851021, 13851032, 13851047?\nAnswer: 13851066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 - 4*i**4 + 5*i**4 + (i**3 - 2*i**3 + 4*i**3)*(0*i - 2*i + 3*i).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -97\/2. Suppose 5*u - 16 = -5*d + 3*d, 5*u - 26 = 3*d. Let f be (1 - (d - -3)) + 1. Which is smaller: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 557944 and 29479?\nAnswer: 22875704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 209775, 419552, 629329?\n\"Answer: 209777*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3852834131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2771 divided by 3.\nAnswer: 2771\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 239 - -749. Calculate the greatest common divisor of u and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/1257 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 76845512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9779.719ml?\nAnswer: 9.779719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35*k**2 + 1169774*k - 67198069?\nAnswer: -70*k + 1169774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 106.3781 to zero decimal places.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/20 - 5139999\/5. Round n to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7604*u**2 + 364*u + 7 wrt u?\nAnswer: -15208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3149 (b) 0.3 (c) 1 (d) -5 (e) 0.4 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1396 and 4190443?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 603642439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -51 + -1 + -16 + -10 + 33.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -269, -400?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95086376 and 22820?\nAnswer: 475431880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1395 is divided by 277.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-5))\/((-2)\/10). Let k = p - 2. Let w(m) = -m**2 - m + 2. Calculate w(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 169.4975247ns?\nAnswer: 0.00000000000028025384375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -492*t**5 + 909*t.\nAnswer: -9840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 11*m - 22. Let j be r(-7). Let u = 1 + j. Suppose 4*a + u = 11*a. What is the remainder when a is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 - 23 + 352*a - 11 to the form k*a + z and give k.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -679?\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1053 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -4*r + 3 + 23, -5*r + 16 = -2*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-47175)\/(-12) + 4\/(-16). Let u = w - 43209\/11. What is the common denominator of 13\/40 and u?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14242, 13054, 11076, 8308, 4750, 402?\nAnswer: -4736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*p + 11*p - 3*p + 0*p to t + v*p and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -225 + 11*x - 227 - 7*x**2 + 9*x + 440 in the form z*x + b + y*x**2 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + u + 4440 = 0. Let o = u + -2163\/2. Find the common denominator of o and -33\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2255 divided by 46?\nAnswer: 2255\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 7*t**2 + 20*t - 118. What is the least common multiple of m(7) and 898?\nAnswer: 9878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 65.3 and 5.\nAnswer: 326.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 - 2*q**3 + 2*q**3 + 0*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 6.3. Let z = 5.7 + j. Let u = -4 + z. Sort -0.3, -2, u in ascending order.\nAnswer: -2, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/20)\/(2\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 5:13 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 5*q + 3. Let y be t(5). Suppose 2*n - y = 1. Let a = 31 + -26. What is the smallest value in a, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*p**5 - 1101700*p**4 + 5*p**2 - 3990403?\nAnswer: -1800*p**2 - 26440800*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 0*h + 0 + 2\/3*h**5 - 1\/3*h**4 + 1\/3*h**2 - 2\/3*h**3 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 8*q**2 - 10*q - 11. Let v be r(-9). List the prime factors of 10\/(-4)*1*v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1543 (base 8) to base 6.\nAnswer: -4003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 79*b**2 + 78*b + 2. Let u be y(-78). Let f(n) be the first derivative of 5*n + 43 + 11\/2*n**u. Let r(g) = -6*g - 3. Determine 3*f(z) + 5*r(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + e?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 838 + 778 = 32*y, y - 38 = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 5\/6*u**3 + 0 - 1\/24*u**4 + 0*u - 92*u**2. Determine y(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 21. Let g be 4\/(-6) + 38\/3. Let w be k(g). Suppose -4*n - 4*f = -491984, 368980 = w*n + 3*f + 2*f. Round n to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1443342 - -3044?\nAnswer: -1440243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 160550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2835*x - 1465. Let c be u(18). What is c rounded to the nearest 1000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 5126?\nAnswer: 15378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. What is the third smallest value in -2, q, 3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.3374 rounded to 1 decimal place?\nAnswer: -56.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 26*u**3 + 9*u**2 + 15*u. Determine q(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 244771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -668 in 1.2932, -1\/14, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 4*h**2 + 4*h - 1. Let y be b(4). Let c be 3*(-5)\/y + 4. Let t be (-4 + 0)*18\/(-8). What is the highest common factor of t and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 28112 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**2 - 4*a. Let d(i) be the second derivative of -5*i**4\/12 - 2*i**3\/3 + 11*i. Let j(w) = -5*d(w) + 4*r(w). Give j(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 11520\/272 - 17\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.8011 and -155065?\nAnswer: 155064.1989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27636 - 118424 = 2261*o + 2863 + 66880 for o.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 175858675\nAnswer: 1\/35171735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484*r + 124*r - 285*r.\nAnswer: -645*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88647 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 128*i - 264.\nAnswer: 2*(i - 2)*(i + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d - 2*d)*(4*d + 2*d - 4*d)*(-20*d**2 - 5*d**2 + 4*d**2).\nAnswer: 42*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from igzzif?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1317 is divided by 598.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41\/4305)\/(1\/7).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/5 + 122*f**3 + 15348*f**2\/5 + 93016*f\/5 - 108976\/5 = 0. Calculate f.\nAnswer: -278, -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 2:41 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63f0 (base 16) to base 2.\nAnswer: 110001111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 259440 and 8688?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 8:37 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 10, 4*r + 0*r + 4*f - 4 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 13*b = 40. Suppose -4*l = -b - 4. Suppose l*g = 8*g - 320. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6676237\/9 + 743709. Is y <= 1905?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -156*w**3 + 3*w**2 - 11. Let a be x(-3). Suppose -2*v + 1458 = -3*j, -a = -5*v - j - 549. Suppose v = 5*d - 175. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/16)\/((-3)\/(-36)). Do i and 16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 2. Calculate u(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - z + 1. Let j(q) = -13*q**2 - 2*q + 4. Let p(n) = -3*h(n) + j(n). Determine p(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52446 is divided by 12788.\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/21 greater than 131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203385.\nAnswer: 3, 5, 7, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -712 smaller than -484\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -31*k**6\/6 - 425*k**4\/12 - 2*k - 135. What is the third derivative of g(x) wrt x?\nAnswer: -3720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 446, 887, 1328, 1769, 2210, 2651?\nAnswer: 3092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v - 87 + 4612 = 0. Suppose 11*b = -159 + v. Is b smaller than -279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-29)\/2*1*1. Let y = 15 + o. What is f in -f**3 + 0 - 1\/2*f**2 - y*f**4 + 0*f = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 2744.\nAnswer: 8232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1422 - -576. Let g = o + -11178. What is the hundreds digit of (-4)\/22 + g\/(-66)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13901*u - 23826*u + 146087*u + 54184*u.\nAnswer: 162544*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -875*w**2 - 435*w.\nAnswer: -5*w*(175*w + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uututuuutuu. What is prob of picking 1 t and 3 u?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 10*a**3 - 25*a**3 - 1 + 0*a)*(0 + 2 + 2) + 2*a**3 + 2*a**3 - a**3.\nAnswer: -57*a**3 - 8*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/132)\/((-870)\/9570).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -630*y + 1055. Determine n(2).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -0.14 (c) -4 (d) 4 (e) -0.45 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s - 34. Give g(-4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-5) + 56780 + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 8. Let y = -9 + 15. What is the lowest common multiple of h(y) and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 4265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189249 is divided by 189247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40049 + -40106. Let u = -8.8 - -8. Let o = 0.2 - u. Do h and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 470 divide 6131150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 481 or 480?\nAnswer: 481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -14\/3*p**4 - 10*p - 1\/3*p**3 + 11 + 17\/21*p**7 + 0*p**5 + 0*p**2 + 0*p**6. Find the third derivative of u(n) wrt n.\nAnswer: 2040*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(4312\/693 + 0 + (-2)\/9). What is the fifth smallest value in -30, -0.5, v, 0.5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -46d0156?\nAnswer: 46d0153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxy when three letters picked without replacement from ynxy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-208)\/(-6) - 2\/(-6). Suppose 3*x + 6*y = 2*y + 7, -5*x = -5*y - g. Solve 2*n - 12 = x*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 558 and 39896256.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 653 divided by -1\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 6*p**2 - 16*p + 4. Let f be b(8). Solve -8 - 12 = f*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1793 - 1794. Which is greater: 1\/184 or d?\nAnswer: 1\/184","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 5*v**2 + 17*v + 3. Let b be j(7). Suppose -14820 = -b*i - 6*i. What are the prime factors of i?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8778)\/546 + (-1)\/(-13) - 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 1135518 = -18*o + 173410. List the prime factors of o.\nAnswer: 2, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 23 (c) -5 (d) -709\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9188 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 48*o - 546. Let g be w(-29). Suppose 5*z = 2*z + 9. Suppose z*i + 4 = 13. Solve i*a + g = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t - 3*v - 37, 0 = 5*t + 2*v - 17. Suppose -4*s - h + 3 = -6*s, 3*s + t = h. Let q be (-3)\/(-6)*(s + 2). Sort 4, q, -5 in decreasing order.\nAnswer: 4, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -301 - -303. Solve f*w = -6*w + 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**3 - 7*o**2 - 7*o - 63. Let s(v) = -2*v**3 - 3*v**2 - 3*v - 31. Let y(f) = 3*d(f) - 7*s(f). Let j be 1*-7 + 4 + 8 + -5. Does 3 divide y(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4958, 19906, 44858, 79820, 124798, 179798, 244826?\n\"Answer: i**3 + 4996*i**2 - 47*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**3)\/(z\/(z**(-2\/9)*z))*(((z\/z**(-1\/3)*z)\/z)\/z)**(2\/107) assuming z is positive.\nAnswer: z**(-2134\/963)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, n: 2, g: 4}. What is prob of picking 1 g and 1 n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (1 + (3 - 6))) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3517, -14160, -31939, -56860, -88929?\nAnswer: -128152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/5 + 8\/20*-1. Solve -s = -2*g - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008252.\nAnswer: 2, 3, 7, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25662563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 41*g - 688. Solve -3*a + g = -4*f, f - 4*a + 8 = -6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/363 or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 18*w - 57. Calculate u(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*z = -41 + 12, 0 = -5*z - 15. What is s rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**5 + 0*k**5 - k**5)*((2 + 4 - 4)*(-2 - 1 + 1) - 3 + 0 + 6).\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n + 2*n - n. Let k(s) = -5*s + 2. Let t = 428 + -429. Let u(m) = -m - 1. Let h(b) = t*k(b) - 2*u(b). Determine i(h(o)).\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244 divided by -61.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30571947*p*u*v**3 - 8*p*u*v + p - 1670*u*v**2 + 3*v + 16 wrt v?\nAnswer: 183431682*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 0.1, -3\/5, -0.5, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1982*t**2 + 462*t**3 + 549*t**3 + 545*t**3 - 2110*t**3 + 551*t**3 - 1982*t**2.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + 2*(-1*sqrt(76)*6 + -1)*-2 + 5)**2.\nAnswer: 768*sqrt(19) + 43840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70209490*a**3 + 7*a**2 - 73767*a?\nAnswer: 421256940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 2*y - 12. Suppose w + 47 = 3*c, -y*w - 2*w = -3*c + 67. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1221 (base 4) to base 8\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4*p - 922, 4*p - 991 = -4*i + 853. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x - 13. Determine f(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**(2\/5)*x)\/x)\/x**(2\/11))\/(x**(2\/3)\/x*x)**33)\/((x**(2\/5))**(2\/7))**(-50) assuming x is positive.\nAnswer: x**(-5801\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/510857?\nAnswer: 2\/510857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15495013\/158472 + 3\/17608. Let b be 2\/(-8) + (-1179)\/(-12). Let w = h - b. Sort w, 0.1, 0.\nAnswer: w, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-5)*(-7050)\/(-940)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3 + 342\/27. Calculate the highest common divisor of y and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.4 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5603912 divided by -2\nAnswer: -2801956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*i - 2569 = -4175 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**2 + 22*c - 7. Calculate l(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.69, -1, -1\/4, 127, 0.1 in increasing order.\nAnswer: -1.69, -1, -1\/4, 0.1, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = w - 3*p, 5*w - 3 = 3*p - 2. Let v = 49730 - 49725. Solve -w*u - 24 = -v*b - 7, 12 = 3*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(18) + sqrt(2))**2 - sqrt(2)) + 5)*-2.\nAnswer: -74 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 9*g + 145. Calculate the remainder when 112 is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -1041*b**4\/4 + b**3\/3 - 9*b**2 + 14*b + 1209. Find the third derivative of u(j) wrt j.\nAnswer: -6246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**3 - 6626*o**2 + 3596232*o + 10848384 = 0.\nAnswer: -3, 688, 2628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1030 = -120*z + 264 + 506 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 220 - 220. Suppose w = -11*b + 50 + 38. Does 55\/7 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0434 times -1\nAnswer: -0.0434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-2)\/(2 - 3). Let p = 9923 + -99263\/10. Is p > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, f: 1, p: 3, c: 1}. Give prob of picking 2 k and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -69805*w**2 + 1035. Let d(v) = 135*v**2 - 2. Let i(b) = -1035*d(b) - 2*j(b). Let t(f) = -2*f**2. Determine t(i(p)).\nAnswer: -26450*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-222)\/5032)\/(330\/(-187)))\/(5\/16)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 52 + 64 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*f + 2*f - f)*(f**3 - 4*f**3 + 2*f**3) + 12*f**4 - 9*f**4 + 28*f**4)*(-5 + 3 + 3).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4892204 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: Collect the terms in -13289 - 551*h - 18675 + 549*h.\nAnswer: -2*h - 31964","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k. Let p(f) be the third derivative of -73*f**5\/15 - 5002*f**2. Give p(z(n)).\nAnswer: -10512*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 0*i + 0 + 35*i**2 - 1\/90*i**5 + 2\/9*i**3 - 1\/36*i**4. Solve d(g) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16850, 33688, 50526, 67364, 84202, 101040?\n\"Answer: 16838*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, -19, -5.\nAnswer: -19, -5, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/15 - (3\/(-1))\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 7*j + 7. Let s be p(7). Suppose 16*q - 17*q + s = 0. Solve a - 2*k - q = 0, 4*a = -3*k - 0 + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217 divided by -2866.\nAnswer: 217\/2866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5 - 41*u**4 - 2632*u**3 + 41096*u**2 + 62704*u - 59280 = 0.\nAnswer: -30, -2, 2\/3, 19, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/54*3 - (7 - 7270\/90). What is the highest common divisor of 7474 and o?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {i: 7, b: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 4. Let g(q) = q + 232. Let t(s) = 11*s + 2088. Let o(y) = 18*g(y) - 2*t(y). Give o(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 30 = v. Let c = -171 - -78. Let s = c - -96. Calculate the smallest common multiple of s and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 870815*i**5 + 67162*i**2?\nAnswer: 52248900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 671*g + 376. What is the hundreds digit of v(59)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 1. Let h = -9\/19 + -12\/95. Let i be (-7)\/(-42)*18\/21. Sort h, i, c in decreasing order.\nAnswer: c, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*q + 116 = 90 - 102 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by 453?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270 + (8 - -5) + -25 and 731?\nAnswer: 4386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 - 8*u**2 - 10*u - 50. Let a(l) = l**2 + 6*l - 4. Calculate the least common multiple of n(-4) and a(-8).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189860644, -379721297, -569581950, -759442603, -949303256?\nAnswer: -1139163909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-180)\/81 + 9 - 12\/(-54). What is the closest to t in -1\/2, -1, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95 (base 12) to base 9.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190029306?\nAnswer: 2, 3, 31671551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2. Suppose 11 + 1 = 3*t - 3*h, h + 2 = 0. Let n = 6 - 4. Let l(i) = t*i**n - i**2 + i**2. Calculate l(v(o)).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -61?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojqovotototvtqqotv. Give prob of sequence ojqq.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 294842370 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1390 is divided by 127?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d39b - -6?\nAnswer: 3d3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 + -35 + -2 + 858 + -775.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 229*i - 228*i - 1, -12 = -3*i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-1 + -1) + (-1988)\/(-14) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -21*(((-4)\/(-4) - 3) + 1). Suppose 36*y - 43*y = -h. Find the second derivative of -3*g**3 - 6*g**3 + 6*g**y + 12*g wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15396.\nAnswer: 2, 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-21)*y**(4\/3)*y\/(y*y*y\/(y\/y**(10\/7)*y)*y*y)*y*y\/((y**(-7)*y*y)\/y*y))**(-48) assuming y is positive.\nAnswer: y**(5408\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 983331500 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -19. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/30)\/(1\/10). Suppose -301 - 619 = -m*g. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -24. Solve -t = -g*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/251 - -11035\/753. Let z = -15 + d. Put 33, z, -1 in decreasing order.\nAnswer: 33, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(208) + sqrt(13) - sqrt(1911)\/sqrt(3)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1\/23, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 39 + (74 - 120) - (121 - -4)\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-81)\/(-45)) + 3 + 1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**2 + 3*p**2 + p - 3*p**2 - 2*p wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*s + 0*s = -1188, 4*s = 5*w - 1980. Let h = -167 + 185. What is the highest common factor of h and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 240, 362, 486, 612, 740?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 148.4 times 0.5\nAnswer: 74.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-55)\/(-22)*(-16)\/(-10) + -2. Solve j = a - c, -5*a + 0*j + 2*j = -4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -3.7. Let n = -1.5 + a. Sort -2, n, 0.\nAnswer: -2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 3*q - 3. Let b(m) = m + 4. Let f be b(-6). Let k be f\/3 + (-14)\/6. Determine n(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3777000 to the nearest one hundred thousand.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -0.069145\nAnswer: 0.055316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = i - 3*k + 166, -2*i - 353 = 3*k. Let m = -29 - i. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12675, 51161, 115303, 205101, 320555?\nAnswer: 461665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -5632053?\nAnswer: 1\/804579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/2 - (-260)\/(-60)) + (-15520)\/(-970).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -1, 4, -21239\/2, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - s + 4. Let t be z(0). Suppose t*o - 45 + 5 = 0. Suppose -12 = o*c - 4*c. Sort 4, c, 1 in increasing order.\nAnswer: c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153 - -146. Let s(i) = 1 - 3*i**2 - 3*i**2 - i**3 + 6*i - 5. Let h be s(t). Solve -3 = -h*a + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (0 - -1))\/(-1). Let a(j) = -7*j**3 - j**2 + 1. What is the remainder when (-2)\/6 + 152\/6 is divided by a(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.17 or 9380?\nAnswer: 3.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 - 96.7. Let g = k - 0.3. Let h = 4 - 4.2. What is the closest to -0.2 in -2\/5, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24614101 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.032 in 6059, -149, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 4\/5, -0.5, 2\/5, 16.1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 8*q**2 + 6 - 2*q - 5*q**2 - 4*q**2. Let d(c) = -c**2 - c + 6. Let t(o) = 4*d(o) - 3*i(o). Determine t(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1338 - -1702. Let j = -3274\/9 + r. Let w = 0.94 - 1. Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 4*l = 65. Suppose -2*i + 2 = 0, 4*a + 2*i - 217 = 313. Suppose a + 763 = l*q. What is q rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - -1.4. Let y = 20697 - 20696.6. Which is the closest to 0? (a) 8\/3 (b) y (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 633.0354 litres in millilitres?\nAnswer: 633035.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 6*q**2 + 8*q - 11. Suppose 0 = -5*i - 5*i + 360. Let w be (2\/(-14) - 0) + i\/7. Let d be r(w). Solve d*n - n = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25, -26, -27?\n\"Answer: -t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -175*r**4 - 196*r**3 + 196*r**3 + (r**4 - r**4 + r**4)*(7 - 2 - 4).\nAnswer: -174*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/24 and 87\/10504.\nAnswer: 31512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - v. Let s be (14\/(-10) - -1)*5. Let u = v - s. Solve -u = -g + 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -129*1*2\/(-6). Let g = 52 + -76. Let d = g + f. What is the greatest common factor of d and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -672 divided by -2\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + c + 6. Let m be g(0). Suppose -2*d = -m*d - 120. Calculate the remainder when 28 is divided by (d\/8)\/((-1)\/4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**5)\/m**(-22) assuming m is positive.\nAnswer: m**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 21390021?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -205316\/53 - -1918475407\/495232. Find the common denominator of y and 35\/8.\nAnswer: 9344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*s**3 - 27671*s**2 + 11*s + 67858228 wrt s.\nAnswer: 36*s**2 - 55342*s + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, 3.4 in descending order.\nAnswer: 3.4, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.3915 bigger than -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*z - 1 - 205 + 322*z**3 - 117 + 1429*z**3 wrt z?\nAnswer: 10506*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 12:16 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 21069221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 353970272 - -217?\nAnswer: 353970489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032 is divided by 26 - 5 - (-48 - -41).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + s**2 - 2*s - 6. Let h(z) = z**3 + 34*z**2 - 35*z. Let b be h(-35). Calculate f(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 33*f**2 + 9296*f - 2813. What is y(-282)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -728601 - -728603. Let y(q) = -q - 8. Let p be y(-6). Let o be p\/(-8) - (-6)\/(-88). Which is the nearest to s? (a) o (b) 0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-10*(-14)\/(-1540))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 656540.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 10*z + z + 4)*(1 + 0 + 1).\nAnswer: 22*z + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, -392, -558, -722, -884, -1044, -1202?\nAnswer: -1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0. Let r = z + 0. Let d = 1.1 - 0.1. What is the second smallest value in r, d, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 38558714*n**2 - 77117422*n + 38558710.\nAnswer: -2*(n - 19279355)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 104 = -w + 4*m, -5*w + 602 = -3*m. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -15\/254753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21500, 42704, 63908, 85112?\n\"Answer: 21204*v + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*m = 11, 2*t + 4 = -2*m + 5*m. Let g be (-2)\/(-6) - (-121)\/33. Which is greater: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101148.\nAnswer: 2, 3, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1329 + -1326. Let i = -3 + 8. Suppose 2*m - y*s = -m + 489, 3*m - 497 = -i*s. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 10*d. Let r(l) = l**2 + 9*l. Determine 7*r(h) - 6*y(h).\nAnswer: h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -748 (b) 1 (c) 20 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/738 and -127\/17334.\nAnswer: 710694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -231716 divided by -115858\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -9, -5.\nAnswer: -9, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, z: 9, d: 4}. What is prob of sequence zdt?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 132 = -4*a, 37707*a - 37709*a + 1036 - 112 = 28*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 890 divided by -2.\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 488 and 23058?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (707 + 229 + 382 + 175)*(4*m + m - 3*m) in the form t*m + c and give t.\nAnswer: 2986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14686 divided by -589\nAnswer: 14686\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70256210?\nAnswer: 2, 5, 7025621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*t**4 - 3*t**4 + 17*t**2 - 19*t**2 wrt t?\nAnswer: 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -89*p**3 + p**2 - p. Let m be y(1). Let o = -48 - m. Let w(z) = 2*z**3 - 106*z**2 + 205*z + 25. Calculate the remainder when w(51) is divided by o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x - 8*x + 17*x + 0*x - 10*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 11:06 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {t: 2, n: 6, e: 2, f: 3}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -228717834 and 13.\nAnswer: -228717821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7513.\nAnswer: 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/22 and 71\/9042?\nAnswer: 9042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -57. Suppose 15022 = -12*o + s*o. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265432391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -265 divided by -3246650.\nAnswer: 53\/649330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 23 + (7 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 776, 778, 782, 788?\n\"Answer: m**2 - m + 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -783, 3, 5.\nAnswer: -783, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3072*c - 1975*c = -185*c - 204204 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**6\/420 + 11*w**5\/210 + 5*w**4\/42 - 288*w**2. Suppose n(z) = 0. Calculate z.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 2. Let b be t(-3). Let i(j) = -4*j**2 + 102*j + 5. Let z be i(25). What is the greatest common factor of b and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2066 + 2168 - (91 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 3*i**2 + 0*i + 1\/60*i**5 + 0 + 1\/4*i**4 + 13\/6*i**3. What is the units digit of h(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b - 32. Let h = 26 + b. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 892796 and 244.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 4*p + 13*p + p**2 - 32 - 29*p + 13*p. What is the remainder when 45 is divided by b(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3362 by 41.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-54507306)\/(-686) - (-4)\/14.\nAnswer: 7, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) + 3*sqrt(216))\/((-5*sqrt(9))\/sqrt(3)).\nAnswer: -24*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 15, 4*f - 5*f - 8 = -4*z. Suppose 1 = -f*r + 13. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) -2780 (b) -5 (c) -2\/7 (d) 3 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 28*w - 31. Let s be i(12). Calculate the highest common divisor of 969 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -949, -1 in increasing order.\nAnswer: -949, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39196565 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1740*q**5 - 2283*q**2?\nAnswer: 104400*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - k. Let i be z(2). Let l be ((-4)\/(-6))\/((-8)\/(-156)). Let d be 1\/3*(-1 + l). Solve -d = -2*t - i*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 + 45037*u**3 - 45047*u**3 + u**5 + 4*u**5.\nAnswer: 5*u**3*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 0.056?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + sqrt(72) + 1.\nAnswer: -1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*r - 14*r - v - 2, 4*r = 4*v + 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 2. Let c be l(5). Let r(n) = 2*n + 2 - 2*n**2 + c*n**2 - 1 + n**3 - 5*n**2. Determine r(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-1)\/2 - (2 + (-145)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -45*l**3 + 614*l**2 + 931*l + 277. Let a(w) = -112*w**3 + 1536*w**2 + 2328*w + 692. Let u(g) = 5*a(g) - 12*v(g). Factor u(o).\nAnswer: -4*(o - 17)*(o + 1)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9583.1038 - -9584. What is w rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/38 and 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.353*2\nAnswer: -2.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -737, -730, -713, -680, -625, -542?\n\"Answer: q**3 - q**2 + 3*q - 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from {v: 6, k: 4, a: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.596433 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -e956?\nAnswer: e952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -25690?\nAnswer: -25694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9337150 and 14939440?\nAnswer: 74697200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**13*q)\/(q*q*q\/q**(1\/31))*(q**(-17)\/q)**(7\/4))**(-2\/21) assuming q is positive.\nAnswer: q**(423\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -136246.3 rounded to the nearest one thousand?\nAnswer: -136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -55. Does 11 divide 37 - (j - (-1 + 4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139313.4 times 0.2?\nAnswer: -27862.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 403 = 4*p - 8*p - 356, 6*p + d = -3*d - 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 2394\/95 - (-1)\/(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -129*b - 12. Give f(1).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 12 = 5*z + 6, 12 = -z + 5*o. Suppose j + 2*v + 2 = 0, -v - z = -3*j + 2*v. Solve j*s + 4*s - 12 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**7\/280 - p**6\/360 - p**5\/120 - 4*p**3\/3 + 6. Let b(d) be the third derivative of c(d). What is b(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j**4 - 2*j**2 + 42*j + 80688?\nAnswer: 12*j**3 - 4*j + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/12 - 4\/(-6). Let z = -46.45 + 52.9. Let k = z + -1.45. What is the third biggest value in -0.3, k, m, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/210)\/(-1 - 6\/(-9))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 15 - 15. Let y = g + 6. Suppose y = 4*m - 3*m - 12. What is the greatest common factor of 96 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -2 + sqrt(147))*-5)**2.\nAnswer: -700*sqrt(3) + 3775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 652*a + 104973. Determine y(-286).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 220*h**2 - 230*h. Let l(v) = 3*v - 152. Let y be l(51). Let r(m) = -m - 4. Let f(s) = y*i(s) - 2*r(s). Solve f(a) = 0 for a.\nAnswer: 2\/55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -608 - -591.1. What is the second smallest value in 4, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11013)\/2*26 - 0. Let o = t + 1004251\/7. Let u = o + -288. What is the common denominator of u and -21\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 15, 2*c + 2*n - 31 = 15. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - g**2 + 3*g - 30. Let m be h(0). What is the smallest common multiple of m\/((-2)\/(5 + -1)) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k = -5*r + 3783, -k = -5*r + 3799. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004525745066 rounded to 4 dps?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 716 a factor of 82860532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/1427 (b) 2 (c) 3\/82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -615 + 619 = 2*j. Let z be j\/27 - (-520)\/270. Factor 5\/2*r**3 - 5\/2*r + 0 - 5\/2*r**4 + 5\/2*r**z.\nAnswer: -5*r*(r - 1)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*w**2 - 59*w**2 - 60*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j + 4. Let s = 189 - 228. Let b be (27\/(-18))\/(s\/(-24) + -2). Let o(h) = -2*h + 3. Calculate b*o(g) - 3*w(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(171)*2)*-1*-5)**2 + 3 + (0 + sqrt(171))**2 + -4 + 2 + (1 + sqrt(171))**2 + sqrt(171).\nAnswer: 1509*sqrt(19) + 18069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + 183*p - 986. Let r be g(-66). Solve -4*b - 4 = r*h, 4*h + 6 = -3*b + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3773 divided by 49.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 0*k - 1\/40*k**4 - 1\/600*k**6 + 1\/60*k**5 - 1\/1050*k**7 + 0 + 0*k**3 + 24*k**2. Solve z(h) = 0 for h.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 4:35 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 5. Let x be v\/8 + 18\/8. Suppose -4*o - 9 = 5*u, x*u + 5*o = -u - 8. Sort u, -2, 4 in ascending order.\nAnswer: -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118 by -168.\nAnswer: -59\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 6:48 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -16*w + 35\/4*w**4 + 3 + 143\/4*w**3 - 3\/40*w**5 + 54*w**2. Factor b(f).\nAnswer: -3*(f - 72)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 20*a - 1193 = 0. Suppose a - 3911 = -9*g. List the prime factors of g.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1894206 by -6.\nAnswer: -315701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 18. Determine j(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(18)*-4.\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/34)\/((-70)\/(-4))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47145 divided by -9429.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m - 20*m + 2 + 11*m - 2.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 425*u - 35. Let a(w) = -47*w + 4. Let l(j) = 35*a(j) + 4*r(j). Let f(d) = 2*d. What is f(l(n))?\nAnswer: 110*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1024)\/(-20) + 2\/(-10). Let i = u + -34. Suppose -7*n + i = 59. Which is the closest to 1? (a) n (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 220 = -2*q, m + q + 85 = 129. Which is the second biggest value? (a) m (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10185 is divided by 358?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 3:22 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/d**(3\/4)))\/(d*d\/d**(-18)) assuming d is positive.\nAnswer: d**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.37076095 rounded to 3 dps?\nAnswer: 10.371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 11*q**2 + 10*q + 24. Let k = 170 + -189. Is l(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + m - 5 = -1, 4*y + 20 = 5*m. Suppose -333 = -y*f + 3*f. Calculate the common denominator of (f\/27)\/1 - 1 and 20\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206300 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.5 + -0.1. Let t = n - 0.4. Which is the biggest value? (a) t (b) 5\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -14106333.29?\nAnswer: -14106333.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-136)\/(-60)*(-12190)\/(-20723)*(-5)\/(-2)*-33\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-4)\/(12\/(-5)))*-1. Let p(y) be the first derivative of 1 + 0*y + 0*y**2 + z*y**3. Let q(k) = 2*k**2. Give p(q(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**19)**(1\/12)\/(h\/(h*h**(2\/51)))**(-26) assuming h is positive.\nAnswer: h**(115\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.169 - 2.269. Let f be (2\/(-3))\/(2*1). What is the third biggest value in f, -1, h, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 6 - 2*i + 0*i. What are the prime factors of f(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113952520109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 10 - (3 + -2). Let v be g + -1 + 5 + -9. Put 1\/12, 1, v in descending order.\nAnswer: 1, 1\/12, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121*t**4 + t**3 + 5*t**2 - 1.\nAnswer: -2904*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 4 - (0 + -6). Suppose -f*v - 19 = -13. What are the prime factors of 9*v\/((-15)\/10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -183*w + 46. Let k(f) = -37*f + 9. Let j(n) = -11*k(n) + 2*s(n). What are the prime factors of j(7)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*r + 189*r = 2868 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 3. Let a be (-14)\/(-4) + n\/(-2). Suppose a*s - 3*s = 18. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-148*r + 728 - 728)*(-1 - 2 + 5 + 1 - 2 + 0 + (0 - 2 + 4)*(-1 - 4 + 4) + 4 - 2 - 3 + 1 - 4 + 1 + 3 - 2 + 1)*(2 + 1 + 6).\nAnswer: 2664*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80477, 80487, 80521, 80591, 80709, 80887, 81137?\nAnswer: 81471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 - 80948*c**3 - 242820*c**2 - 242812*c - 80936.\nAnswer: -4*(c + 1)**3*(c + 20234)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448) + -1)**2 + -3 + -5 + 5.\nAnswer: -48*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*o + 4*o - 4*o)*(-o + 5*o - 2*o - 3*o - o + 3*o + (0 - 3 + 1)*(-4*o + 4*o - o) + 5*o - o - 3*o) in the form z*o**2 + l*o + r and give z.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 33*k - k + 46*k + 135*k + 107*k.\nAnswer: 256*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/(-8))\/((-10)\/8). Let b = -3021\/1435 + 4\/205. Let d = b + c. Sort -3, -1\/6, d in ascending order.\nAnswer: -3, d, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 4*x = -3*x + 2, -2*y = -5*x - 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.521199km in meters?\nAnswer: 9521.199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*17\/(-8)*4. Let d = c + 29. Suppose -5*g + 4*r + d = -3*g, -3*r - 12 = 0. What is the highest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 12 = 7*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76795\/9191376 + 5\/191487. Find the common denominator of r and 109\/28.\nAnswer: 29232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, m: 4, k: 6}. Give prob of picking 2 m.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 12*y = -15*y - 11, -5*y = 2*p + 19. Let c(a) = 1159992*a - 16. Let q be c(p). Round q to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489 + 1024 + 871 = -37*w for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*g + 24 = 2*v, 5*v - 5 = -3*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*o*q**5 + 134*o*q**4 - 15519*o*q + q**2 wrt q.\nAnswer: -3120*o*q**2 + 3216*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 0*h**2 - 10*h**2.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 9*i**2\/2 - i + 4. Is 8 a factor of n(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 4*q + 27 - 7, 5*s = -4*q + 20. Let g be 1\/(s + 16\/4 + -5). Which is the closest to g? (a) 1 (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + -12*(-2)\/3. Suppose -u*x + 54 = -4*x. Calculate the remainder when x is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 360*u - 171*u - 177*u. Let c(t) = -11*t. What is 5*c(w) + 4*j(w)?\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y - 191 + 184 + 7*y**2 - 7*y**3 + 0*y**2. Let q(f) = 4*f**3 - 3*f**2 + 3*f + 3. Let u = -309 + 312. Calculate u*x(p) + 7*q(p).\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4101 + -4096. Solve 14 = -5*m - d, -k*m + 6*m - 2 = d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7528.0202 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 98\/(-7)*(-4)\/8. Let r(g) = -4*g**2 + 26*g + 19. Let k be r(w). Let y(j) = -j**2 - 7*j + 5. Let a be y(-7). Solve 0 = o - k*u + 17, -12 = u - a*u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 10*s + 7. Let t be h(0). Let l(b) = -b**3 + 8*b**2 - 7*b + 1. Let f be l(t). Which is smaller: f or 3\/644?\nAnswer: 3\/644","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2 + 3*s**2 + s**2. Let k(u) = -2*u. Calculate k(d(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 15*m**2 - 2*m + 3. Let a be w(-3). Suppose 0 = 48*x + 64*x - 560. Suppose -3*n + 1299 = -3*y, 2*n - 710 - a = x*y. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**5\/2 - 12*w**4 - 15*w**3 + 12*w**2 + 27*w\/2 = 0?\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(1\/16)))\/(w*w\/(w\/w**(3\/13)))*(w\/(w**(-16\/5)\/w*w*w))\/(w**(1\/7)*w))**(-10) assuming w is positive.\nAnswer: w**(-6471\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.74 plus 28320?\nAnswer: 28317.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, z: 16}. Give prob of sequence zez.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = a - 1 - 4, -2*c + 2*a - 2 = 0. Let x(s) = -c*s - 11*s**2 - 5 - s**3 + 0*s**3 - 11*s. Does 10 divide x(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 289 - 261 - (11 - 0) - 1 - -9.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -6*g + 16. Let f = -2 + g. Solve 3*d + f*d - 10 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 + 10*z**2 + 2*z + 10. Suppose 5*w - 2 + 27 = 0. Let g be m(w). Suppose 0 = -g*u + 4*u + 148. Are -38 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/5 - 3)\/(1\/(-5)). Let n be a\/(-6) - ((-52)\/8 + 4). Solve n = l - 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3836*m**2*u**3 - 2*m**2 - 2*m*u**3 - 2*m*u + 503*u**3 + 2*u wrt m?\nAnswer: 7672*u**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -111*x + 110*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2*q + 37 = -8*g, -3*q - 177178 = -g - 177185 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -156*s**3 + 204*s**3 - 45*s**3 - 187 + s**3 - 3*s**2 + 3*s**2 + (-4*s**2 + 2*s**3 + 4*s**2)*(-1 + 5 - 2).\nAnswer: 8*s**3 - 187","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -8885.\nAnswer: 2\/8885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 4, 72 in increasing order.\nAnswer: 4, 30, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 12*k. Let h be 15\/(-66)*(k - -19990). Let m = h + 4548. Find the common denominator of 11\/5 and m.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-27)\/(-9))\/((-3)\/(-22)). Let c = 58 - g. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h - 2*h - h + (-2 + 2 + 2)*(0*h - 3*h + 4*h) - 1 + 1 - h + 19 + 64*h - 19 as j*h + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 684702?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/5 (b) -0.162 (c) -0.87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -11.2. Let w = -0.8 - m. Is w less than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q - 2. Let y be o(3). Let f = 2 - 3. Let p = 19 + -24. Which is the nearest to f? (a) -4 (b) y (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:16 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 15 = -3. Suppose 2*k + 3*y - 1234 = -2*k, x*y - 927 = -3*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j - 474 + 1026 = 0 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 61144091 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -850, -3374, -7572, -13444, -20990?\n\"Answer: -837*f**2 - 13*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s. Let t(i) = 3. Let b(r) = 9*r - 17. Let x(y) = 3*b(y) + 21*t(y). Let v(f) = 11*f + 5. Let n(h) = 12*v(h) - 5*x(h). Give u(n(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-15) + ((-13)\/((-130)\/(-412)) - -14)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000 - -1001011?\nAnswer: 1110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/4*(-5 + 1). Let t(i) = 33*i**2 - 2*i - 2. Let s be t(2). What is the greatest common divisor of s and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 8*c - 18. Let x be i(-4). Which is greater: -10\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 + 0*t**2 + 14*t**2 + (4 + 2 - 3)*(t**2 + t**2 + 0*t**2))*(-t**2 + 2*t**2 + t**2) in the form z + c*t**2 + m*t**3 + d*t + k*t**4 and give k.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.73 - -0.2. Let y = -0.03 - w. Sort y, 3, 1 in decreasing order.\nAnswer: 3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.048 - -3.052. Let f = p + -3. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**5 + 594*m**4 + 31371*m**3 + 716304*m**2 + 7577856*m + 30584832 = 0. Calculate m.\nAnswer: -131, -19, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.65 - 5.6499058. What is g rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l - 55 + 55)*(-2*l - 3*l + 4*l + 1).\nAnswer: -7*l**2 + 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 339*n**2 - 9*n + 16?\nAnswer: 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 5542247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 86 = a + 67, -27 = -3*a + 3*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/(-3)*(-2 + 1). Suppose 3*m = v + 6, -5*v = 3*m - x*m - 3. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 12057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -760596053*f. Let p(j) = j. Determine a(p(x)).\nAnswer: -760596053*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.34 - 32.33. What is the nearest to -0.1 in -0.3, -0.03, -4, g?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 2 + 26. Calculate the smallest common multiple of 7 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2)\/r)\/r**(1\/3))\/(r**(2\/7))**(10\/13) assuming r is positive.\nAnswer: r**(-575\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11 + 13)*151\/(-14). Let a = -22 - b. Let v = 0.1 - 0.2. What is the second biggest value in a, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**5\/17 + 11306*m**4\/17 + 113202*m**3\/17 + 328390*m**2\/17 + 362408*m\/17 + 135912\/17 = 0.\nAnswer: -6, -2, -1, 5663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/349 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 4*q**4\/3 - q**3\/3 + 7*q**2\/2 - 2*q + 59. What is the second derivative of g(v) wrt v?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760675 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 9 + 33 = 0. Suppose -2*d = -9*d + n. Factor -4\/9 - 14\/9*w**d + 2*w.\nAnswer: -2*(w - 1)*(7*w - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + g - 1. Let s(i) be the first derivative of i**4\/4 - i**3 + 3*i**2\/2 - 2*i + 699. Calculate -2*n(r) + s(r).\nAnswer: r**3 - r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 23901441\/2847 + (-8)\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 58 (b) 10\/7 (c) -1\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p - 3. Let m be a(4). Suppose -3*u - 44 = -m*s, 2*u + 46 = -0*s + 5*s. Suppose 0 = 5*w - s - 10. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3808 + 3805. Suppose -6*k + k = -10. Let n be (-2 - -4)\/(k - 0). Which is the closest to n? (a) x (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 525*a - 95560. Calculate s(182).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1704*m**4 - 3*m**3 - 19*m**2 + m + 378918 wrt m.\nAnswer: 20448*m**2 - 18*m - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 457432.5 centuries?\nAnswer: 45743.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2264*w + 221*w + 1166*w - 2552*w to r*w + p and give r.\nAnswer: -3429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 1. Let l(k) = 2*k - 1. Let o be -1 - -7 - (1 + 4). Let h(s) = o*r(s) + 2*l(s). What is h(6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2364?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**3\/3 + 9*d**2\/2 - 4*d + 30. Let n be z(6). What is the second derivative of 17*s**3 + 486*s + n*s**3 - 485*s wrt s?\nAnswer: 186*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 58.99999876. Round n to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.19234 from 3.\nAnswer: 4.19234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/25 - (-217)\/(-5). Let v = 230 - o. Calculate the common denominator of 6\/4*v\/54 and -125\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3644223 and 2893?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 492131 or 984261\/2?\nAnswer: 492131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4019411 or -4019283?\nAnswer: -4019411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -548 - 288. Let n = -125 + o. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*v = 8 + 7, -v = -3*r + 14. Suppose f + 4 = 0, r*f + 28 = -2*l - 2*l. Is l + 126 - 3\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 10*r**2 - 4*r - 3. Let q be b(-2). Is 11 a factor of q + (-2*5)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -1166, -4, -120?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200849945.\nAnswer: 5, 40169989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 15, 52, 103, 168, 247, 340?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, -2, 0, 0?\n\"Answer: -g**2 + 7*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -0.8. Let j = -8 + 14. Let l be 0 + ((-2)\/j)\/1. Is c smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/17)\/(q\/(q**(5\/2)*q)))\/((q*((q**11*q)\/q)\/q)\/(q**0*q)) assuming q is positive.\nAnswer: q**(-251\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221 + 121301?\nAnswer: 121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8274626 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -56, -167, -348, -599?\n\"Answer: -35*r**2 - 6*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 808726 or 808723?\nAnswer: 808723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 712*t = -600*t - 404*t - 2031*t - 194844 for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7870.624 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 469410, 939097, 1408788, 1878483, 2348182, 2817885, 3287592?\nAnswer: 3757303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 29.3\nAnswer: 87.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2938764.\nAnswer: 2, 3, 244897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 1)*(2*l - 3 + 3).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -10*a**2 + 132*a + 272. Let r be m(15). Factor 3\/4*u + 0 - 3\/4*u**r.\nAnswer: -3*u*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 28 + 58 = 5*w, -3*w + 3*f = -6. Put -1, w, -133 in increasing order.\nAnswer: -133, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2, 2*r + 357*p - 355*p = -2. Suppose 4*g = g - 12. Sort g, 2, r, -1 in decreasing order.\nAnswer: 2, r, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 3*h + 1 - 4*h + (-2 + 2 + 2)*(1 - 1 - 2*h) + (-48*h - 3 - 2*h - 3*h)*(4 + 2 - 4)*(2 + 0 - 1).\nAnswer: -112*h - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2 + -1 - -2). Let t be (16\/x)\/((-3)\/9). Let h be t\/30 + (-2)\/(-5). What is the third biggest value in -3, 3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (9\/(-21) - ((-2380)\/(-1078) + -5))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 477.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*n + w - 12, 0 = 3*n + 3*w - 3. Solve -5*d + 7 = 3*h - 0, n*d - 5*h = 15 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**3 + 6*p**2 + 6. Let q(v) = -v**3 + v**2 + 1. Let w = 8 + -3. Let o = -6 + w. Let n = -73 - -79. Determine n*q(t) + o*g(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 5*s + 13. Let i be ((-1)\/(-4))\/((-123)\/164)*6\/(-1). Calculate b(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(70))\/((sqrt(10) + sqrt(1000))*5).\nAnswer: -sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/2, 0.07, -11\/5, -1\/55?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -622, -1668, -4492, -9976, -19002, -32452?\n\"Answer: -147*n**3 - 7*n**2 + 4*n - 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a22 - 11?\nAnswer: 5a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*(-3*4*(-3*sqrt(91) - sqrt(91)))\/(1*(sqrt(7) + sqrt(448)*-4)))**2.\nAnswer: -1440*sqrt(13)\/31 + 757449\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**5\/20 - r**4\/4 - r**2 + r. Let b be v(-3). Let l be (6\/9)\/(-3 - (-90)\/40). Which is smaller: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*a + 2*a, 4*a = 5*h + 36. What is the third derivative of -3*y**2 + 4*y**3 + a*y - 4*y + 5*y**2 wrt y?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {c: 3, k: 3, p: 4, e: 6, o: 1, u: 1}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8624 + -5552. Is c a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c. Let h(p) = 7*p + 1. Let m(s) = -6*h(s) - 10*o(s). Determine m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 673*r + 10217. Calculate f(-17).\nAnswer: -1224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 1 - 4*x - 2 - 2 + 4. Let p be q(-4). Which is smaller: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -431, -650, -965, -1382, -1907, -2546, -3305?\nAnswer: -4190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 2\/(-2) + 0. Let i be -2 + 1 + (-4 - -6). Which is greater: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)*l**0\/l*(l\/(l\/l**(-2)*l*l)*l)\/(l\/((l*l**(2\/13))\/l)*l))**(22\/3) assuming l is positive.\nAnswer: l**(-2816\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000404 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 7*z - 2*l + 181 = 0, 5*l = 20. Let b = z + -109. What is the remainder when 251 is divided by b?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1.1, 4, 2\/5, -4 in descending order.\nAnswer: 4, 1, 2\/5, -1.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.46 to zero dps.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 499455, 998485, 1497515?\nAnswer: 1996545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 30 (b) 1 (c) -0.3 (d) 2.2 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*g - 4*c - 59 - 5, 4*c + 9 = 4*c + 3*c for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 4. Let z(f) = -2*f + 5. Let m be (-14)\/(-6) + (-2)\/(-3). Let c(i) = -i**3 + 5*i**2 + 5*i + 2. Let v be c(6). Give m*z(o) + v*g(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-4))\/t)\/t*t)\/t**4*(t\/t**(3\/4))\/t*(t\/t**(-15))\/t assuming t is positive.\nAnswer: t**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 18. Let g be 0\/((-1 + 0)*4) + 9. Is g at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 1. Let x(b) = b**2 - 2. Let r be x(-3). Let c = r - 2. What is the remainder when w(-9) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**8\/42 + 13*b**7\/105 + 11*b**6\/60 + b**5\/15 + 39*b**2. Let v(z) = 0. What is z?\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(792))\/(-4*sqrt(275) + sqrt(11) - (sqrt(11) + sqrt(33)\/(sqrt(48) - sqrt(3))))*6)**2.\nAnswer: 373248\/3721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l. Let n(a) = -17210532*a**2. Give c(n(b)).\nAnswer: -34421064*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 528990 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Let o = -148 - -214. Suppose -o = -u*h - 3*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109475897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 3*g**3 - g**3 + 6*g**4 - 2*g**2 - 4 - 6*g**4 - g**4 to q*g**4 + c*g + t*g**2 + w*g**3 + y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 0*k + 0 + 1 + (-3*k - k + k)*(-11 + 3 - 10) - 6*k + 4*k - 3*k + 3*k + 0*k - 4*k + 5 - 5 - 2*k to the form l*k + t and give l.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 11:21 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 371004351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgak when four letters picked without replacement from {m: 4, a: 3, g: 6, k: 6}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 468*o**2. Let l(h) = 10*h**2 + 4. Give l(x(w)).\nAnswer: 2190240*w**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 13. Let b = -13.9 + 11. Let y = 3 + b. What is the closest to o in -1\/3, 2, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 + -31?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466908031?\nAnswer: 466908031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -147 + -2ac3?\nAnswer: -2c3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2978832?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 34*x - 80*x + 53*x + 7 - 7*x**2. Let m(f) = 4*f**2 - 3*f - 3. Give 7*m(k) + 3*w(k).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + -36. Let q = n - -120. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1458423 (base 9) to base 12\nAnswer: -32a963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 + 30*j + 6 - 24 - 67*j wrt j.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 29 + 31. Calculate the remainder when 6 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 - 4*v**3 + 30*v**2.\nAnswer: -2*v**2*(v - 3)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36334.39 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 0 - 1\/168*i**8 + 1\/8*i**4 + 0*i + 0*i**6 + 0*i**7 - 3*i**2 + 0*i**3 + 0*i**5. What is the second derivative of k(c) wrt c?\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -565*u**6*x**3 - 12611*u**3*x**3 - u**2*x**3 - u**2*x**2 - 77164*u*x + 2*x**2 - 16*x wrt u?\nAnswer: -67800*u**3*x**3 - 75666*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 41. What is the tens digit of d(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3989069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((3 - 4) + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/3*(-3)\/(-2). Let l(i) = 2*i**2 - 37*i + 4. Let x(g) = -2*g**2 + 57*g - 7. Let o(h) = 8*l(h) + 5*x(h). List the prime factors of o(w).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, d: 2, g: 3}. What is prob of picking 1 g and 1 t?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1468*m**3 + 20*m**2 + 17*m**2 - 64*m**2 + 27*m**2.\nAnswer: 1468*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - 5. Let p = -207 - -207. Solve 2*u = 5*n + 3*u + 14, p = -5*u + o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -8. Let j = 97.3 - 98.199. Let t = -0.101 + j. Which is the nearest to -1\/4? (a) g (b) -1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*g - 5*u, 0*u - 26 = 5*g - u. What is the biggest value in -4, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1. Let i = 59 + -54. Suppose l = 5*a - i - 20. Solve 5 + 0 = -a*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -2*b**3\/3 - 39*b**2 + 14*b. Let p be k(-20). Solve 2*r - p*z + 10 = -0, 15 = 3*r + 3*z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11528574 and 20307?\nAnswer: 80700018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 115*l**9\/84 + l**5\/10 + 17*l**4\/6 + 2*l**2 + 862*l. Find the third derivative of q(x) wrt x.\nAnswer: 82800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 19*u**6\/3 + u**5\/5 + 2*u**3\/3 - 6*u**2 - 558. Find the third derivative of h(l) wrt l.\nAnswer: 2280*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142647 + 4*u**3 + 142685 - 285332.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3 + 364*s**2 + 425457*s + 2118060 = 0. What is s?\nAnswer: -492, -5, 861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n + 3*n + 40*n.\nAnswer: 59*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-83)\/(-5) + 4\/10. Suppose -l + 2 = -4. Suppose 11*m - l = 9*m. Solve 0 = -m*c - p + 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 5*h**2 + 2*h + 2. Let g be s(5). Let i = -280 - -284. Solve -v = -4*d - 6*v + 4, -g = -d - i*v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325694 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2144 - 2040. Calculate the greatest common factor of d and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a\/(a*(a*(a*a**0)\/a)\/a)*a)\/a)\/a)**12)**(3\/8) assuming a is positive.\nAnswer: a**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -24*a**2 - 350*a**3 + 352*a**3 - 1 - 19 - 21*a + 3. Does 6 divide f(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 14. Suppose 8*g - 3*g = -100. Let u(v) = v**3 + 19*v**2 - 19*v + 21. Let j be u(g). What is the highest common factor of o and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w**2 - 574281*w - 2009910 = 0. What is w?\nAnswer: -95710, -7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2078137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1252.9859 - -0.0141. Let s = p - 1231.74. Round s to zero dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 4018611?\nAnswer: -2\/1339537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.83 - 628.83. Let j = a + 614.9999214. Round j to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.24 * 0.11473\nAnswer: -2.4368652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + -21 + 65 + -107 + 64.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 924 + 746. Round f to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 3:47 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qllqplqlp. What is prob of sequence pqlp?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f - 1 - 10*f + 2)*(-3 + 4 + 0).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/((-165)\/44)*((-132)\/8)\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h - 22*h + h - 14*h - 6. Let u be t(-4). Let x = u + 17. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 17*g - 56. Calculate x(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -5*d**4\/24 - 70*d**2. Let o = 0 - -1. Determine m(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from kbkqdmbfbqk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 416107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 10*j**2 + 4. Let q(y) be the first derivative of y**3\/3 + y + 6. Give -n(v) + 6*q(v).\nAnswer: -4*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 185*n - 53*n - 944 + 2528 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 9. Suppose -2*m = -5*g + 12, -5*g - 5*m + f + 3 = 0. Let d(v) = v**2 - v. What is d(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 278*i**2 + 305*i**2 - 557*i**2 + (-2*i + 4*i + 2*i)*(-i + 2*i - 2*i).\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3645 - 1874. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from bbknkkb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -34648758.1 rounded to the nearest 100000?\nAnswer: -34600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.177 + -0.023. What is the closest to -0.1 in -4\/5, -2, a, -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104016 - 1828268\nAnswer: -1932284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -90, -346, -772, -1368, -2134?\n\"Answer: -85*b**2 - b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.047841234 * -0.1\nAnswer: -0.0047841234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*h**3 - 8 - 3 - 14*h**3 wrt h?\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 + 6650*x - 79896.\nAnswer: 2*(x - 12)*(x + 9987)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -187\/1365 + 1\/273. Let p = 12 + -8. Let o be p - 6 - (-10)\/7. Which is the second smallest value? (a) u (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 1:43 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 133?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - a**2 - 3*a - 4. Calculate the least common multiple of 12 and b(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 18. Let s(v) = v**2 - v - 6. Calculate s(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*w - 46 + 410 = 0, -5*w + 546 = 3*t. Let n = t - 153. Solve n = -p + 4*p - 4*j, -4*p + j + 17 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/11 - 50*m**3\/11 + 26*m**2 + 338*m\/11.\nAnswer: 2*m*(m - 13)**2*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37.07 - -0.93. Let g = p + -34. What is the biggest value in 1\/2, g, 2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 + 0*u**2 + 0*u**2 + (u - u - u**2)*(-26*u + 7*u + 3*u).\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 + -15)\/(4 - 9 - -4). Let p(d) = -5*d**3 - 4*d**2 - 4*d. Let y(q) = -6*q**3 - 5*q**2 - 5*q. Give j*p(s) - 4*y(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -40*n + 115. Let c be p(4). Let d(k) = -120*k**3 + 45*k - 45. Let u(a) = 11*a**3 - 4*a + 4. Calculate c*u(x) - 4*d(x).\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1038.2 + 1038. Which is the third smallest value? (a) -1\/2 (b) -2\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 27. Suppose 30 + 82 = -h*w. Let y = w - -52. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 1 - 6*t - 7*t**2 + 11*t - 3. Let d be -2 - -4 - 1 - -5. Determine a(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 942 - 942.927. What is k rounded to 2 decimal places?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 12*d**2 - 16*d = 0.\nAnswer: 0, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 89363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242288 divided by -304.\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582 is divided by ((-1080)\/50 + 18)\/(3\/(-160)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.96834 + -0.012.\nAnswer: -0.98034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m + 315 = -11*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1. Let f(x) = x + 1. Let l(h) = d(h) - 3*f(h). Let g(c) be the second derivative of 0*c**2 - 1 + 43*c - 1\/3*c**3. Calculate g(l(j)).\nAnswer: 6*j + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 times -2?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*f + 252 = 229*f. Are f and 173\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + 103 - 78) + -1 + -5.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3 + 33. What is the second smallest value in 1\/7, -4, a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 501, 506, 515, 528, 545?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 729337793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10) + (-153)\/(-5). Suppose -61*v - 2921 + 7618 = 0. Let b = 81 - v. Solve b*d + 11 = p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 c when three letters picked without replacement from {a: 5, w: 3, i: 2, c: 1, b: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 696694*g - 2635. Let u(x) = -529*x + 2. What is -7905*u(m) - 6*y(m)?\nAnswer: 1581*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 39*t + 9. Let w(d) = -40*d + 7. What is 4*w(q) - 3*z(q)?\nAnswer: 3*q**2 - 43*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4140, -1, -5, 0 in ascending order.\nAnswer: -4140, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 977*l - 8*r = 975*l + 18, -40 = -3*l - r for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 13\/2*u**6 + 0*u**4 - 21 + 0*u**2 + 1\/3*u**3 + 33*u + 0*u**5. Find the third derivative of a(c) wrt c.\nAnswer: 2340*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**2*h**4 + 6*d**2*h - 5*d*h**4 + 4*d*h wrt h?\nAnswer: 12*d**2*h**2 - 60*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 3*l**5\/5 + l**2\/2 + 7*l - 7. Find the second derivative of z(m) wrt m.\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 691\/29, 1\/4, 1\/2, 3\/7, -5, -17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 79931.33 millimeters in centimeters?\nAnswer: 7993.133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + 1 - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, t: 7}. What is prob of picking 2 t?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*g - 13688 - 3472. What is the greatest common divisor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3786\/(-2524))\/((-15)\/(-22))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2445?\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -108*(-952)\/(-44982)*(-70)\/(-4)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 415594757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**4\/12 + a**3\/6 - a**2\/2 - a. Let w = 161 + -159. What is d(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2*v - 19 = -25, 6 = -3*w - v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*((-124)\/(-3))\/4. Let n = -15 - c. What is the least common multiple of n and -9*(-2)\/(-6)*-2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by (-20)\/35 - 778\/(-14).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/3 - -1) + 1. Let j(r) = r**3 + r**2 - r + 40. Let i be j(w). Let s = i + -16. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -k - 0*k + 2*u, 4*u = 0. Suppose 0 = -3*g - f - f + 2, k*f = -3*g - 8. Suppose 4*i - 1187 = -z, -2319 = -2*z - g*i + 7*i. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75446686.6753 - 6?\nAnswer: 75446680.6753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/99382 and 55\/551633.\nAnswer: 87158014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.78 + 1.78. Let w = -0.7 + -6.3. Which is the closest to 0? (a) -5 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 62 = -0*g - 0*g, 17*a + 68 = 3*g - g + 19*a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + (4 + sqrt(243))**2 + 3.\nAnswer: 72*sqrt(3) + 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18439, -18779, -19115, -19447?\n\"Answer: 2*h**2 - 346*h - 18095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 41*d - 1. Give f(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 2. Let u(c) be the third derivative of 0 + 0*c + 1\/2*c**3 - 47*c**2 + 1\/3*c**4. What is u(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-18) - 308\/1530) + 4\/((-720)\/(-108))\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1461742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 929?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/4 + 2\/8. Let f(p) = -p**2 + 36*p + 104. Let z be f(-3). Which is the second smallest value? (a) r (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 - 2*a**2 - 4*a**3 - 2*a**2.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -58 divided by 2\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -173, -332, -491, -644, -785, -908, -1007, -1076?\n\"Answer: d**3 - 6*d**2 - 148*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 375483203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586272981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1158276 divided by 28\nAnswer: 41367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -153599 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 371, 38, -1\/11, 0.2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44513 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.2 - -0.2. Let x = 0.13 - 0.53. Which is the second biggest value? (a) x (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**4 + 12*f**3 - 3*f**2 - 12*f = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**4 - 6*b**4 - 2*b**4 + (1 - 1 - 1)*(b**4 + 3*b**4 - 5*b**4) - 5*b**4 - b**4 + b**4.\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 1174*i**2 + 28756*i - 100. Give u(-24).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -190, -203, -230, -277, -350?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 45*y**2 - 42*y + 90. Let l be c(-44). Solve l*s = -3*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 13*d + 2. Let h be i(-8). Let m = 277 + -424. Let z = h - m. Calculate the greatest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1875*c**4 + 1895*c**2 + 1?\nAnswer: -45000*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 32 + 34 + 46 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/8)\/y*y)**(30\/7)\/(y*y\/((y\/(y*y**(1\/5)\/y*y*y*y))\/y)*y)**(1\/3) assuming y is positive.\nAnswer: y**(-1093\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -32, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40786631 rounded to four decimal places?\nAnswer: -0.4079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/20 - 14\/35)*-2. Which is greater: o or 7\/62?\nAnswer: 7\/62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 1:27 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - l + 3023, -h + 0*h + 3*l = 764. Let y = h + 5997\/8. What is the common denominator of -119\/12 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*s - 191*s - 166*s**2 - 9468 + 171*s**2 with respect to s.\nAnswer: 10*s - 199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934 a factor of 6028632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*z = -3*g + 232, -2*g + 460 = -5*z. Suppose 6*q = q + g. Suppose 2*v - 2*y + 20 = 3*v, -4*y = -4*v + q. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 817873 divided by -1.\nAnswer: -817873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 2362. Let f(a) = 5*a - 11801. What is -2*f(i) - 11*z(i)?\nAnswer: i - 2380","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02722 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 6*y**2 - 6*y - 2. Let w be d(7). Let c(k) = -k**2 + 14*k - 14. Let s be c(12). Suppose 1 - w*n + 10*n - s*n**2 + 4 = 0. Calculate n.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10301, 20339, 37063, 60467, 90545, 127291, 170699, 220763?\n\"Answer: -h**3 + 3349*h**2 - 2*h + 6955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -391*p - 195 + 2150 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58480 by -272.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2840 (base 12) to base 10.\nAnswer: -4656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1071, -2163, -3255, -4347, -5439?\nAnswer: -6531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/26)\/((-86)\/559)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -52 - 1.63868\nAnswer: -53.63868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2370000 is divided by 15089.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 12*b**2 - 24*b - 24. Let n be i(-10). What is the highest common factor of 216 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/6*3\/2. Let q(i) = 2*i**3 + 9*i**2 + 2*i - 5. Let b be q(g). Let t be 1\/b*3 + 3. Solve -3*c = c - t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/36 - 14\/(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(214\/106 - 2). Let z = 183 + -102. Let s = z - i. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11 - 6\/(-21)*-7. Which is greater: j or -17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 2*f**5\/5 - 65*f**4\/4 - 4*f**3 + 591*f**2 - 2586. Find the second derivative of s(g) wrt g.\nAnswer: 24*g**2 - 390*g - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 9*y**2 - 19*y + 6. Let g be o(-5). Calculate the remainder when 223 is divided by ((-5)\/4*g)\/(9\/(-108)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1048 and -59.51.\nAnswer: -1107.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -8. Suppose s = -2*p + 3*p + 4*k - 16, 5*p + 5*k - 50 = 0. What is the smallest common multiple of 12 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1975866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**4 - 34*q**3 + 3*q**2 - 62*q wrt q?\nAnswer: -24*q - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*d - 2839 = 231, 0 = -3*d + 9. List the prime factors of h.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 0. Let w(g) = -20*g**3 - 2*g**2 - g. Let z = 34 + -27. What is the remainder when w(f) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10202\/(-24))\/((-11)\/(-2) - 6). Let l = -2512\/3 + w. Find the common denominator of l and 17\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/46)\/((-12)\/3*1)*(-72)\/(-78)\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 12. Let n be s(-8). Let r(v) = 8*v - 8. Let x be r(3). Let o be (-3)\/(-4)*x\/120. Which is the biggest value? (a) -5 (b) -0.4 (c) n (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -16*c**2. Let g(m) = -6*m**2 + m**2 + 4*m**2 + 0*m**2. Determine g(p(y)).\nAnswer: -256*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o - 3 = 0. Let u = -21 - -11. Let j be u\/16*(-8)\/20. Which is the nearest to j? (a) o (b) 0.4 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -8*v - 28. Suppose -5*t + 155 = d + v*d, -4*d + 4 = 0. Suppose 0 = -4*f - 12, f - 348 = -3*r - t. What are the prime factors of r?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q**2. Let w(t) = 34*t + 2. Give w(i(y)).\nAnswer: -238*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/60 + 7*w**4\/24 - w**3\/2 - 5*w**2. Let r(f) = -234*f + 930. Let b be r(4). Give q(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-12) + (-20)\/(-6). Let n(t) = 4*t + 0 - 4 - g*t + 3. Let c be n(4). Solve -4*z - c*b + 6 = 0, -5*z - 3 = -5*b + 7 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 145*i + 1555. Is v(10) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/180*(-45)\/(-20)*((-134)\/(-3) - 6)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Let p(g) = -5*g - 1. Let t be p(-1). Let n be (-24)\/(-14) + t\/14. What is the greatest common divisor of n and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 + 97 = -21*z. Let l(c) be the second derivative of -c**3\/3 - 3*c**2\/2 + c. What is the remainder when 82 is divided by l(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/32*4*34\/2618*44?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/45*140\/(-196). What is the third smallest value in -1, 13\/8, n?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3125772 and 2028.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 4*u - 4, -4*u + 14 - 18 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5454163?\nAnswer: 11, 13, 43, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Let c(v) = -5 - 3*v + 3*v - v. Let b(y) = -c(y) - 2*p(y). Find the first derivative of b(a) wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -978*g + 480*g + 491*g + 3*v - 0, 3*v + 9 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 - -38 - (-4 - (4 + 1 + -2 + -6)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -139\/45 - -26\/9. Which is the smallest value? (a) u (b) 1\/6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 9. Let g be 3\/12 - (-76)\/16. Let m be b(g). Suppose -3*f - 8 = m*d, -f + 2*f + 8 = 4*d. Solve -x - d = -0*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 51, 30, -9, -72, -165?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59995*y = -62229*y - 46914 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 7)*2\/(-2). Suppose -t*i = -7*i. Suppose i*d - d = -4. Solve 0*f - 4*f = -d*p, -2*p = f + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2 (c) 5 (d) -4\/5 (e) -5 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.913 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 12 = 9*v. Suppose 0*y + 4*y - n - 166 = 0, -2*y = -n - 82. Suppose -v*f + 4*f = y. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*o = 9, -2*o = 3*f - 2 - 3. Is 5 + 9\/f + (0 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4064 is divided by 3707?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-19)\/(-988))\/((-3)\/20))\/((-465)\/558)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/3))**(-2\/7)\/(x**5\/(x*x*(x**(-1\/4)*x)\/x)) assuming x is positive.\nAnswer: x**(-305\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, 1 a, and 1 o when four letters picked without replacement from vqvovyoyyyaa?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000455257074 to seven decimal places.\nAnswer: 0.0000455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.082 minus 2922.678811?\nAnswer: -2918.596811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*m - 12594 = 0, 3*m = -5*d + m + 15751. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17296 or -639?\nAnswer: -17296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2192, -0.43, -2\/15, 4.\nAnswer: -0.43, -2\/15, 4, 2192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0670202 rounded to four dps?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/3 - 622*z\/3 + 5952 = 0. Calculate z.\nAnswer: 32, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -17*d**2 - 101*d + 8. Let u = 297 + -303. Let g be l(u). Solve -3*o = -h, h + g = -5*o + 2*h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -3.7, 0.78, 4\/3, -1.91?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.2+-0.7231\nAnswer: 0.4769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1604? (a) -1\/20 (b) -2\/9 (c) 0.445 (d) -2\/3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 4, -2, -1, -851 in increasing order.\nAnswer: -851, -2, -1, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4597 - 4597 + 362*w to the form b*w + m and give b.\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11945 + 14*n**2 + 11605 - 23550.\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -2\/11, 5\/21, 0.5?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 + 653*z**3 + 540*z**3)*(-1 + 0 + 0).\nAnswer: -1197*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 1\/10, 1, 214, -88?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 631027519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 12166823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -11. Let k = 8 + x. Suppose 2*b = k*n - 16, -2*n - 3*b + 1 = 6. Solve n*m = 3*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-585)\/6 + 3)\/(-30) and 52\/(-150) - (24\/(-108) + -1 + 1)?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2342 is divided by 778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-9))\/(-11)*30\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 11*h**2 - 7*h - 38. What is n(11)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**10*v**(2\/19)*v assuming v is positive.\nAnswer: v**(211\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, 339, 1139, 2259, 3699, 5459, 7539?\nAnswer: 9939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -46 times 1188007\nAnswer: -54648322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - 2*k**2 + 2*k**2 + (-12*k + 4 - 4)*(-k + 3*k + 0*k).\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 6, -510, -0.06774?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 1. Let m be g(-4). Let b(r) = 237*r + 246. Let x be b(-1). Solve d - m*y = -x, -d + 4*y - 5 = 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1292 (b) 0.003 (c) -2\/177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/47085978 and 1\/414?\nAnswer: 3248932482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 743 + -151. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**8\/21 + 2*o**7\/21 + o**6\/20 - 3*o**5\/20 - 7*o**4\/4 + 4*o**2 - 400*o. What is the third derivative of g(d) wrt d?\nAnswer: -960*d**2 + 480*d + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 9 = 6. Let x(m) = -2*m - 6. Suppose 5*i - 6 = 4*t, 2*i + 9 + 11 = -4*t. Let l be x(t). Which is bigger: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - -1.4. Let t = 4.43 + -5.242. Let h = t + s. What is h rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -12 (b) -1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7 = 3. Let m(v) be the third derivative of v**5\/60 - v**4\/8 - 5*v**3\/6 + v**2. Let b be m(j). Solve -b*z = -3*z + 2, 13 = 2*n - 5*z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 757*k**2 + 17*k - 2. Let s be f(-13). Suppose 13*r = s - 45290. Round r to the nearest one hundred.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((0 - -2) + -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 5*t**2 - 12*t + 1. Let n(f) = -f**3 + 10*f**2 - 19*f - 8. Let y be n(7). What are the prime factors of r(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-3)\/(6\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -5*b**7\/21 + 5*b**4\/6 + 5*b. What is the third derivative of u(f) wrt f?\nAnswer: -600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by 83?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19125 and 1071?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-2\/13)*d**11 assuming d is positive.\nAnswer: d**(154\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*-1*3\/(-6). What is the closest to f in -1, 1\/9, -3\/4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6059*c**4 - 203*c**2*h**3*x**2 - h**3*x**2 + 2*x**2 - 116383*x with respect to c.\nAnswer: -24236*c**3 - 406*c*h**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 11. Suppose -2*m = -5*g - 55, 2*g = -s*m - m + 5. Suppose 0 = -6*l + 3*l + m. What is the least common multiple of l and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 555 and 195?\nAnswer: 7215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -331, -751, -1339, -2095?\nAnswer: -3019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18394756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-285)\/57)\/(((-10)\/4)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 10*z**2 - 16*z - 3. Let u be l(-11). Let o = -41 + u. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -290, -640, -1130?\nAnswer: -1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 11*j + 2 + 10*j)*(5*j - 5*j + j).\nAnswer: -j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -126\/11 and -141 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 391, 394, 397, 400?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -7 + -7 + 4 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2273899 and 3763001?\nAnswer: 425219113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 275*s + 274*s - 553*s + 1. What is m(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*sqrt(1088) + (sqrt(1088) - (1 + (sqrt(1088) - sqrt(1088)*5) + sqrt(1088)))**2 + -1*(0 + 5 + (sqrt(1088) - (-3*sqrt(1088) + sqrt(1088))**2)).\nAnswer: 88*sqrt(17) + 21756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.913412s in nanoseconds?\nAnswer: 5913412000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10286716729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -20190, -2, -13, 7?\nAnswer: -20190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 0, 5*p - 4*n - 19325 = n. List the prime factors of p.\nAnswer: 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 36, 5*g = 2655*j - 2653*j + 43. Solve 9 = g*f - 3*m, -263*f + 267*f = -3*m - 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/(-12)*(-4)\/3. Suppose -2*v = -v - 4*y + 6, 2*v - d*y = 0. Is 2 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/20*3\/(270\/40)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 1 = 13, -3*x = 4*b - 29 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-440)\/(-3))\/(-88))\/((-2)\/(-24))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -502210300 + 1?\nAnswer: -502210255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29 and 1450.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2 + 51378*k - 219974907 = 0.\nAnswer: 8563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 4002\/3779?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 210 in 1\/4, -1, -2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, m: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4705586253857 - -0.5.\nAnswer: 4705586253857.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 427.\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.762555 to 1 decimal place.\nAnswer: -65.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3)\/((z**(2\/11)\/z)\/z))\/(z**(-3\/2)\/(z\/z**(3\/7)*z)))\/((z**(-1)*z)**5*(z\/z**2)\/z**(1\/5)) assuming z is positive.\nAnswer: z**(2379\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3223, 4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 19*b**3 + 9*b**2 + 5. Let p(y) = -39*y**3 - 16*y**2 - 9. What is -4*p(w) - 7*z(w)?\nAnswer: 23*w**3 + w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -353, -712, -1063, -1400, -1717?\n\"Answer: g**3 - 2*g**2 - 360*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -1. Let v = 27 + f. Suppose 6*n = v*n - 921. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34893803?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 347236*d**2 - 1041680*d + 694448.\nAnswer: -4*(d - 86806)*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + t - 5. Let m be b(-7). Let k = -71 + m. Let h = -24 - k. Calculate the remainder when 38 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are 340569 and 340569 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 120 = -t. Is (t + -7 + -12)*-2741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t - 365. Suppose t = -o - l, 0 = -3*o - 5*l - 14 - 205. Let c = 110 + o. List the prime factors of c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60282*q + 60387*q - 4305 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -8*b + 36 + 0*b**3 - b**3 - 35 + 9*b**2. Let f be m(8). Suppose 3*p - 10 = -f. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4134, -14814, -32616, -57540, -89586, -128754, -175044?\nAnswer: -228456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 38\/(-8)*(-16)\/(-20). Let y = i + 43\/10. Suppose -2 + 0 = d. Which is the third smallest value? (a) 0 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1))**(-23)*i**(-3)*i**8 assuming i is positive.\nAnswer: i**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/714 and 43\/939?\nAnswer: 223482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3529487972 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 + -977381505.\nAnswer: -977381504.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 203465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30*(-14)\/40)\/((-6)\/16).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 477 and -4?\nAnswer: -1908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62675369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1296081298.\nAnswer: 2, 113, 5734873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 387 - 860c?\nAnswer: -8255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -8 + (-27 - -37 - 46)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1548)\/(-1) - -5*(-90)\/(-75)?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1\/10, 0.04 in decreasing order.\nAnswer: 1\/10, 0.04, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 10:09 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 218*i**3 + 5*i - 4*i.\nAnswer: 218*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.15. Let s = 0.55 + d. Which is the third smallest value? (a) 0.1 (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-6) + (-1)\/(-3). Let t = m - -23. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001644 rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18a - 0?\nAnswer: -18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d + 14*d. Suppose d*l = -5*j + 5*l + 135, 2*j - 3*l = 52. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f. Let s(v) = v**3 + 3*v**2 - 4*v - 4. Let k be s(-3). Let i(x) = -6*x + x + k*x. Let a(p) = p. Let o(g) = -4*a(g) + i(g). Give z(o(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 26*x**2 - 3*x - 53. Let q be j(2). Solve 24 = -4*d - 50*k + q*k, 2*d + 22 = -5*k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3492 + 15217 = q. What are the prime factors of q?\nAnswer: 53, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/1032418?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700 = 33*b + 832 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -x + 15. Let m = -1 - x. Put 5, m, 1 in descending order.\nAnswer: 5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 61, -4, 0 in decreasing order.\nAnswer: 61, 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - -3*(-3)\/9. Let a = -1 - -6. Suppose 2 = -g - l, z*g - a*l + 9 = 3. What is the third biggest value in -2\/9, -0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325 + 277 = 12*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3308808 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 738760434 less than -0.0794?\nAnswer: -738760434.0794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/22 + 12\/456*0. Let r(j) = -j**3 - 3*j**2 + 2*j + 3. Let c be r(-3). Let t be (-2)\/c*4\/56. Put -3, 1\/5, n, t in increasing order.\nAnswer: -3, t, n, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 38*l + 92. Let u be 10*4 + 15\/(-4 - 1). What is the tens digit of k(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i - 20. Let q = 4.4 - -15.6. Let k be -4*5\/(-80)*-2. Which is the nearest to q? (a) 0.2 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - h - 1. Let d be r(2). Find the first derivative of 0*u**2 + 2 + 7*u**2 - 6 + d wrt u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3949+228950142\nAnswer: 228950142.3949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8*684\/513)\/(16 + -17).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 4*v**2. Let n = -3 - 1. Let u be r(n). Let k(y) = -y**2 + y + 9. Calculate k(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 546 and 273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 9. What is the first derivative of j + 3*n**3 + 0*n**3 - 3 wrt n?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3529627 (base 10) to base 11.\nAnswer: 1aa0952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4548224519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l**(-3\/17)*l)\/l))**(-40) assuming l is positive.\nAnswer: l**(-120\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76269565 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21766309 to the nearest integer?\nAnswer: 4665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from {n: 2, m: 1, t: 2, s: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2892 (b) 176\/103 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**3 + 9363*l**2 + 13232208*l - 44990219460 = 0.\nAnswer: -2155, 2638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5889*t**2 - 4791*t**2 + 15*t**3 + 1 + 10680*t**2.\nAnswer: 15*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-1 - (-20)\/35). Let g = -4 + s. Suppose 3*t + 2*t = 2*q + 2399, g*q - 952 = -2*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b = f + 34, 6 = 51*b - 29*b - 24*b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 22*c + 53. What is the tens digit of m(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y**2 + 6. Let x(u) = 3 + 1 - 3 - 2 - u**2. Calculate -f(b) - 6*x(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 975 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 1)*(-377)\/(-174) + 11*(-3 + 4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4196 or -55?\nAnswer: -4196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1810*u - 26606. Give s(17).\nAnswer: 4164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0854, 3, -3\/4 in descending order.\nAnswer: 3, -0.0854, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.7 (b) 0.1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = t + 18901, 47233 = 111*c - 106*c + 4*t. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440 divided by 4.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*m + 164*d - 161*d, -d - 11 = -2*m. What is the remainder when 1138 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71.1759 + -3.1709. Let q = -0.005 + o. Let g = q - 67.9957. Round g to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(133)*-1 + sqrt(133)*1*-4)*-2)\/((sqrt(56) + sqrt(896)*-2)\/(-2*sqrt(24)\/sqrt(3))))**2.\nAnswer: 10944\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a30 + 5459a?\nAnswer: 552ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**3 + 621 - 475 + 22*o - 19*o as y*o**3 + v + s*o**2 + k*o and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*w - 33*f - 1178, 181*w - 5*f = 179*w + 182 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 13*j - 40. Let u be 2\/((-5)\/(-3) - (12 - 10)). Let i be k(u). Let f = 8 + -8. Sort f, -7, i.\nAnswer: -7, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -1\/2*y**2 - 1\/6*y**6 - 7 + 0*y + 0*y**3 + 0*y**4 + 0*y**5. Find the second derivative of z(i) wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-5))\/((-24)\/15). Is l bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/33 and -43\/2138.\nAnswer: 70554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j - 18. Let o be u(4). Suppose 3*t - o = 2*s - t, -4 = 3*s - 5*t. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20403.6 * 2.\nAnswer: -40807.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -60, -116, -160, -186, -188, -160?\n\"Answer: p**3 - 63*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unuuuuuu. What is prob of sequence nu?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x*(x*x**(-1\/8))\/x)\/x)\/x)\/(x*x\/((x*x**(-9\/2))\/x))*x**(-6\/5)\/((x\/(x*x**(3\/2)*x))\/x))**(-1\/2))**(-2\/47) assuming x is positive.\nAnswer: x**(-213\/1880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*f - 2*l, f - l = -3 + 10. Suppose f*u = 5*u + 10. Suppose -j + 20 = 4*j. Calculate the remainder when u is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 25 + 6)*(-10*j - 22*j - j)*(2*j**3 + j**3 - j**3) as g*j**4 + c*j + x*j**3 + q*j**2 + d and give g.\nAnswer: 2310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 9. Let b be c(-12). Solve -6*d + 5*z = -d + 45, -b*d - 2*z = 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4 = m - 5, 0 = 5*m - 3*h - 5. Is -1 + 4 - (m - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -174 + 174.2. What is the fourth biggest value in -2\/7, -0.2, i, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199392, -199391, -199390, -199389, -199388, -199387?\nAnswer: -199386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/5 and 11\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19020420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwbwbeeweb. What is prob of sequence bw?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.9 - 1.1. Let s = -129 - -128. Let j = 0.4 + 0.1. Which is the nearest to s? (a) 4 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 9:13 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 1047*c**3\/2 + 12447*c**2\/2 - 15015*c\/2 + 1521\/2 = 0.\nAnswer: -13, 39\/349, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -360 (c) 5 (d) 0.453\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -1.7675.\nAnswer: -7.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 23, 34, 45, 56, 67?\n\"Answer: 11*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/12)\/(194\/(-630) - (-42)\/147). Solve -5*g = i - 28, -t*g + 18*g = i + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 y when three letters picked without replacement from pkykytytttp?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-4864083)\/(-60) - (-20)\/(-400)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/304*-2*1*(-12 + 13). Which is the second smallest value? (a) s (b) -6 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1123*r + 52 = 1127*r, 610*w - 613*w + r - 25 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f**4\/5 - 22*f**3\/15 + 8*f**2\/3 = 0.\nAnswer: -20\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**3 - 4*o**2 + o. Let z = -212 + 203. Let p(b) = -7*b - 65. Let d be p(z). Let v(u) = -u**2 + u. Determine d*v(t) + n(t).\nAnswer: 4*t**3 - 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144 + 148. Let g = -7 + 6.6. Which is the biggest value? (a) t (b) 17 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.41 - -0.79. Let w = -0.02 - i. Let n = 443689 - 443696. Sort w, 3\/7, n, 5.\nAnswer: n, w, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 + 2*z + 1. Let c be r(-1). Suppose 7*g - 2*g - 3*q - 8 = 0, -c = 2*q. Let s = 1\/433 - -2569\/12557. Which is bigger: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3506, 1\/4, -2, -1\/8, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335 + 4*r**2 + 2*r - 335 - 2*r.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaa when three letters picked without replacement from {a: 2, v: 1, z: 1, g: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**2 + 4*z + 2. Let q be o(5). What is the highest common divisor of q and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**2*t - 3*q**2*v**3 - 2*q**2*v**2 - 4328*q**2 + 16928*t*v**3 wrt v?\nAnswer: -18*q**2 + 101568*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.7 less than or equal to 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddu when three letters picked without replacement from dppgpsupxgppusddpu.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -6. Let t be 0\/((-3)\/d*-2). Is 3 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z**2 + 2*z + 1. Let b be x(-1). Let v(f) = f + 11. Let w be v(b). Suppose -3 = -n + w. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -37*h - 133 + 36*h + 133. Let j(t) = -2*t - 17. Let u(c) = -3*c - 18. Let k(g) = 4*j(g) - 3*u(g). Give z(k(x)).\nAnswer: -x + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360\/20 - 24\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 1 - (-1 - 0). Let v(s) = s**3 + 11*s**2 - 26*s + 5. Let h be v(-13). Let p(k) = -9*k + 9. Let z(a) = -4*a + 4. What is h*z(b) + i*p(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -1 - (-108750)\/(-4872) - (-3)\/4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**8\/420 + 5*a**4\/12 + 5*a**3\/3 - 1. Let t(s) be the third derivative of o(s). Differentiate t(z) with respect to z.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 41.9109 from -0.02.\nAnswer: -41.9309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76513 = -853*k - 451*k - 209*k + 35449 for k.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**35*z*z**(18\/11)*z*z assuming z is positive.\nAnswer: z**(436\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 0, 5*k = -4*c + 4*k + 16. Let a be 8\/(-16)*-10*(-288)\/15. Let x be a\/(-3) - (3 + -11). Solve 3*u = s + 10, 3*u = 7*u + c*s - x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 10 + 2. Let i(x) be the first derivative of x**3\/3 - x**2 + 2*x + 65. What is the remainder when i(c) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -355\/3*m**3 + 4*m + 0 + 5*m**2. Let l be w(-9). Round l to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1140 and 48.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 9:38 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7225904, -7225905, -7225906?\nAnswer: -7225907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 1. Let z(q) = -7*q**2 + 6. Give 3*y(i) + z(i).\nAnswer: 3*i**3 - 7*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 10, -2*o + 6 = -d - 62. Let w(c) = 11 + 24 + 1926*c - 1914*c. Calculate the remainder when w(8) is divided by o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3964799 is divided by 991184?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -1003?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18966, -75880, -170750, -303582, -474382, -683156, -929910, -1214650?\nAnswer: -1537382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5.6984?\nAnswer: 7.6984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 4\/5 (b) 3\/2 (c) 1\/4 (d) 0.056\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 55c8 - -5?\nAnswer: 55cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 336, 671, 1018, 1377, 1748?\n\"Answer: 6*d**2 + 317*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 + -0.1. Let w = -0.52 - l. Which is the third smallest value? (a) -4 (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d\/((d**(-3\/10)*d*d)\/d*d)*d*d\/d**(3\/2)*d)**(6\/7))**(1\/50) assuming d is positive.\nAnswer: d**(6\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -368598 by 46.\nAnswer: -8013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 1025?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3\/15 - 1780*h**2\/3 + 7638566*h\/15 + 7665284\/5 = 0. Calculate h.\nAnswer: -3, 1166, 3287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1100) + 1 - sqrt(1100)*2*3)*1 + 4)**2.\nAnswer: -400*sqrt(11) + 27516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 4*g = 8*z + 19, -3*g + 3 = -3*z. Suppose 0*h = 5*h. Suppose h = 2*o - 0*o. Solve -5*r + 3*j - 22 = o, r - 2 = -4*r - z*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2610277 to the nearest integer?\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46252190 is divided by 1063.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 9*c**2 - 12*c - 13. Let g be t(7). Suppose 13*v + g = 27. Suppose 4*a = 2*h + 34, h = -v*a - 3*h + 32. Solve 2*x = -3*x + a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = 0, 2*t + 123 = -2*d - 111. Let s = 44 + d. Let z be s\/6*2\/(-4). What is the greatest common factor of z and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/(-21))\/(1\/(-1)). Let x = -67 - -65. What is the fourth smallest value in d, 1, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-1))\/((-35)\/((-5040)\/27)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 549, 552, 561, 576?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**5\/3 - 8*w**4 - 4*w**3\/3 + 152*w**2\/3 - 128\/3 = 0. What is w?\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 11*b - 4. Let u(n) = 4*n**2 + 2*n**b + 300 - 300 - 3*n**2. Let j(l) = 24*l**2 + 3*l. Calculate u(j(g)).\nAnswer: 1728*g**4 + 432*g**3 + 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + t**3 - t**3 + (8*t - 12 + 12)*(-t**2 - 2*t**2 + 4*t**2) + 0*t**3 + t**3 - 2516*t**2 + 2512*t**2 - 5*t.\nAnswer: 7*t**3 - 4*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 z, and 1 x when three letters picked without replacement from qhzrbqxrrqh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10640 + 10639.5. Which is the smallest value? (a) 2 (b) 1\/8 (c) m (d) -1\/4 (e) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3601 = -1952. Let r = -1150 - l. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 57 = -5*c, -4 = -3*g - 16. Let q(m) = m**2 + 6*m + 3. Let o be q(-7). Suppose o = 4*u - 2. Solve u*n - 4*w + c = -w, 4*w - 4 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.1 - -10.1. Which is the smallest value? (a) -3\/5 (b) -1 (c) k (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + 22. Let d = 66 - b. What is the units digit of (-35)\/d*(-16)\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*j - 329432 + 329422 = 0, 4*j - 50 = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021697 to 4 dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -695 - -761. Calculate the greatest common divisor of p and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aadaaqfaqaaaaaaadaa. What is prob of sequence dd?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1122a + 3?\nAnswer: 1122d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*m + 42*m + 13. Which is the closest to -0.1? (a) -2\/5 (b) 2 (c) -12\/5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10314413211 - 0?\nAnswer: 10314413211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 13*a**2 - 208*a - 31. Give n(-9).\nAnswer: 1517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7364 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*sqrt(2)*2.\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7542.243 millilitres?\nAnswer: 7.542243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3068738?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.17088 + 0.17088. Which is the closest to -4? (a) 4\/3 (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**4 - 12*k**3 + 14*k**2 + 32*k - 23. Let x(i) = -3*i**4 - 12*i**3 + 16*i**2 + 31*i - 22. Let f(a) = 5*p(a) - 4*x(a). Factor f(u).\nAnswer: -3*(u - 1)**2*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) 6720\/11 (b) 3\/2 (c) 147\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5262504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1187 + -1192. Sort h, 0, -4, 3 in decreasing order.\nAnswer: 3, 0, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/5 + 45240924*f - 1279213252733610.\nAnswer: -2*(f - 56551155)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 769771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*16784\nAnswer: 10070.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**4\/16 - o**3\/3 - 16. Factor r(s).\nAnswer: s**2*(s - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120217955 divided by 13.\nAnswer: -9247535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 501 a factor of 403305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f - 3. Let g(b) = -2*b - 1. Let o be g(1). Give d(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/6 + (-4)\/(-24). Let p(a) = a**2 - 5*a + 6. Let l be p(7). Suppose l = -u + 6*u. Solve 0 = -2*q - 4*g - 2, g - 16 = u*q + z*g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*u = 246468 - 1873280. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5 - 81408*h**4 + 736552326*h**3 - 2223648234912*h**2 + 15523591191519*h + 17747976060168 = 0. Calculate h.\nAnswer: -1, 8, 9043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 46643.4ng?\nAnswer: 46.6434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -83 (c) 1\/248 (d) -1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -2)\/((-3)\/14). Let d be (-26)\/(-6) - 2\/6. Let y be 2\/(-7) - d\/n. Sort 5, y, 2.\nAnswer: y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 680101*a**2 + 372*a - 372*a + 543583*a**2.\nAnswer: 1223684*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1004?\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 33*u - 28. Suppose 3246 - 3276 = -15*j. Give h(j).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 2*r, 4*r + 4358*c = 4351*c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6. Let j(u) = -2*u + 36. Let n(f) = -6*i(f) - j(f). Let b(z) = z. Calculate -5*b(a) + 4*n(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -551597 by 42.\nAnswer: -551597\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -28. Let y = 15 - n. Let v = 113\/4 - 29. Which is the nearest to -1? (a) y (b) v (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1021, -3655, -8033, -14149, -21997, -31571?\n\"Answer: g**3 - 878*g**2 - 7*g - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36119.06 millennia in months?\nAnswer: 433428720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.75 and 12871.\nAnswer: 61137.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -c8 (base 15) in base 3?\nAnswer: -20222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/l)\/l*l*l\/((((l**(-9\/2)\/l)\/l)\/l)\/l*l)*(l**(-2\/23))**(1\/3) assuming l is positive.\nAnswer: l**(893\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4028 is divided by 288.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b - 2. Suppose -45*r + 38 = -7*r. Let s(j) = -4*j + 1. Let n(h) = r*y(h) + 2*s(h). Let f(o) = 8*o + 12. What is n(f(v))?\nAnswer: -8*v - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -10*n + 13*n. Suppose -3*i - 5 = 19. Let j = n - i. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5\/8 - 5*s**4\/8 - 7*s**3\/8 - 3*s**2\/8.\nAnswer: -s**2*(s + 1)**2*(s + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from wmwuxwxxomwo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**3\/6 - i**2 + 27*i. Calculate a(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 879*v - 6274. Give n(7).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2 - 4 + 7*x + 5. Suppose -4*p = p - 45. Is y(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 9377*a. Let z(n) = n**2. What is t(z(y))?\nAnswer: 9377*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + q + 2. Let d(o) = -o. Let h(v) = 5*v - 9. Let b(a) = -6*d(a) - h(a). Let y(x) be the first derivative of b(x). Give -m(s) + 3*y(s).\nAnswer: -s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/16 + 459\/(-2040)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 28 - 32 - -22.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001121120 - 10?\nAnswer: 1001121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*v**2 - 4*v**2 + 2*v**2 + (-1 + 1 - v)*(-v + 0*v + 3*v).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/14 + (-3)\/21. Suppose s + 3*v = -s - 27, -5*s - 3*v - 54 = h. List the prime factors of 68\/((-6)\/s*3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-5)*((-35)\/10 - (2 - 3))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r. Let p be n(0). Let w be p\/1*(-1)\/3. Is (-258)\/(-2 - w) - 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from zluyyft?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6870892 and -4?\nAnswer: 27483568","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 - 3 = 0. Suppose -3*c - 30 = 3*c. Sort v, c, -2.\nAnswer: c, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 3, -1, 5, -66 in descending order.\nAnswer: 27, 5, 3, -1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 248*z + 2609. Let p be y(-11). Solve 4*k - 2*i = 12 - 28, 4*i - 22 = -p*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 205b?\nAnswer: -205d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -3\/2, -7737?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104245 - 104203. Let a = -5248 - -21157\/4. Which is greater: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59.65755895019 - 20.\nAnswer: -79.65755895019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 119, -14 in descending order.\nAnswer: 119, 0, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2. Let w(m) = -m**3. What is f(v) + 5*w(v)?\nAnswer: -5*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1427, 2418, 3331, 4166, 4923, 5602?\n\"Answer: -39*q**2 + 1108*q + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 0 + 0*h**3 - 6*h - 1\/80*h**5 - 1\/48*h**4 + 0*h**2. Solve d(f) = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 498006 + -497792.791. Let o = t - 213. What is o rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14*1 - (-120)\/21. Suppose 2*y - 2*q + d*q - 44 = 0, 4*y = -2*q + 64. What is the remainder when 24 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1057, 1200, 1343, 1486, 1629?\n\"Answer: 143*p + 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 251 = -217. Let n = -231 + o. Sort 19, 4, n.\nAnswer: n, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10.78 (b) 71 (c) 2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1368180 (base 10) to base 4\nAnswer: -11032001310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -102539, -102600, -102661, -102722, -102783, -102844?\n\"Answer: -61*t - 102478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 1:27 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 - 6*s**2 + 7*s**2 - s**2. Let x(d) = -9*d. Give z(x(q)).\nAnswer: 324*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -341131\/20 + 17054. Calculate the common denominator of -121\/560 and l.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.67176 nanograms to tonnes.\nAnswer: 0.00000000000000067176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 5:27 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 96 = -5*q. Calculate the highest common divisor of q and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9088922*z**2 - 31559725 wrt z.\nAnswer: 18177844*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -134, -425, -5, 5 in ascending order.\nAnswer: -425, -134, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 5. Suppose 0 = -a - a + 10. Which is greater: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 x, and 1 t when four letters picked without replacement from {e: 2, x: 1, t: 1, g: 1, m: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-three tenths of a hour?\nAnswer: 11880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4 + 5 = 0. Is 0 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5745864226 to the nearest integer?\nAnswer: 75801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1201609?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -33. Let p = m + -8. Let n be (-1)\/p + (-2653)\/(-14). What is the greatest common factor of 21 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 8 = n, -u + 4*n + 2 = -18. Let w be (12\/u - 2)*1. Let b(c) = -c - 1. Let s(f) = 2*f + 3. What is w*s(v) + 4*b(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 132 and 0.772.\nAnswer: 101.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 a when three letters picked without replacement from {a: 1, l: 7, y: 1, n: 7}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 18*i + 4*b - 246, 5*i - 5*b = -222 - 123 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-74)\/(-6) + 4\/6. Suppose 5*r - 73 + t = -3*u, 0 = 4*u - 2*r - 80. Solve 5*l = -5 + u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 70*k - 400.\nAnswer: 2*(k - 5)*(k + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) 0.02 (b) -2 (c) 1\/2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (95 - 96*n - 95)*(-n - 2*n - 2*n) to l*n**2 + k + j*n and give l.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 3a4796?\nAnswer: -3a4797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 260, 414, 568, 722, 876?\n\"Answer: 154*t + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**1*y*y*y)**(-34))**43\/((y**(-2\/7)*y)**9\/(y\/y**(-1\/6)*y**(-4))) assuming y is positive.\nAnswer: y**(-184601\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 2. Let q be h(-4). Suppose 3*i + q*i - 17 = -l, -5 = -5*i - 5*l. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x = 15. Suppose 3*s - 25 = -5*k, 4*k - 25 = -k + x*s. Suppose -3*d + g + 19 = 0, -k*g + 1 = 2*d + 11. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6265?\nAnswer: 5, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26.3 - -25.3. Let x = -0.017 + 5.617. Do x and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + u + 27, 70 = 5*g + 2*u - 5*u. Calculate the least common multiple of g and (5\/(-4))\/(2\/(-8)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/2 - (7 - 3)) + -157. Suppose f - u + 341 = -f, 2*f = -5*u - 347. Let q = f + b. What is q rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 + 36 + -24 + -63\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21904861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 0.4207758?\nAnswer: 0.4207758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 - v**4 - v**4 - v**3 + v**3 + 2*v**4 + (-1 - v + 1)*(v**3 + v**2 - v**2) + 9626*v - 367*v**4 - 9626*v.\nAnswer: -368*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -38*p - 2. Let l be g(-5). Let w = l - 99. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9539 - -0.9839. Let f = 0 - 0.1. Which is the second smallest value? (a) f (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v**3 - 3*v**2 - 5*v - 9. Let z be y(-2). What is the highest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3159*z + 6339. Calculate a(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.09 (b) 0 (c) 0.3 (d) -3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0 - 1) + 16\/(-24))\/((-3)\/792). Let m(u) = 100*u. Let o be m(1). Suppose 0 = 6*v - g - o. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*f = -71330, 10*r + 106993 = 13*r + 5*f. Is 28 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 630 divided by 210\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 11:53 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 15*w**2 - 18*w + 29. Calculate q(2).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42106 rounded to three dps?\nAnswer: 0.421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*k**2 - 3*k**2 - 5*k**2)*(-3*k - 3*k + 5*k) + (0*k**2 + 0*k**2 - 4*k**2)*(0 - 4 + 5 - 4*k).\nAnswer: 53*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13434187 at most 13434202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 + 98*y**2 + 43*y - 154. Let u be s(-48). What is the greatest common divisor of 25 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17\/34 - (1 + 4\/(-8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5086405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 12 = -4. Let l(f) = -f**3 + 8*f**2 + f - 8. Let a be l(c). Suppose 3*x - 2*x - 36 = a. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24599747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 108\/80 + (-7 - -2) and 155\/234.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaa. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * -0.0349.\nAnswer: 0.6631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 21*i**2 - 3*i**2 - 12*i**2 - 3*i.\nAnswer: 6*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/7 - 2566*v**3\/7 + 1025670*v**2\/7 - 120538242*v\/7.\nAnswer: 2*v*(v - 537)**2*(v - 209)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**4 - 2*u**3 - 2 - 2*u**3 - u**2 + u**3 + u to the form m*u**4 + s*u + t*u**3 + k*u**2 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - -1)*(-1748)\/(-6256)*-17?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 9:47 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 3*a - 2. Let j = 40 - 43. Let l be k(j). Let r(s) = -l*s + 3*s + 14*s. Let t(b) = 3*b**2. Determine t(r(i)).\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01121918382 to 5 decimal places.\nAnswer: 0.01122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 26336774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 e when three letters picked without replacement from pezxzuxpppejjupe?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 1 (b) 1\/1343 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Let q(s) be the first derivative of 0*s**2 + 0*s - 1 + 2\/3*s**3. Determine q(p(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -2. Let l = a + 64. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxo when three letters picked without replacement from oxoipoiooxxooixxxi.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 3*w**2 - 4*w - 2. Let n be m(-2). Suppose -2*s - 2 = 0, 4*z - 7*s = -n*s + 109. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.559 - 0.67. Let a = l + 0.051. Let t = -0.56 - a. What is the second smallest value in 1, t, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158 by 695.\nAnswer: 158\/695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsnmgnmsssfsnsmmmm. What is prob of sequence ngmn?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 16*g = -2*w + 41, -3*g - 11 = w. Which is the smallest value? (a) w (b) -0.1 (c) 0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4339*t + 7242 - 41700 - 61000 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 5) in base 15?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5589.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-22))\/((-29)\/11716*-101)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 20. Let k be s(22). Factor 1\/2*f**2 + k*f + 3\/2.\nAnswer: (f + 1)*(f + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198 times 0.4?\nAnswer: -79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = g + 16, 3*l - l = -4*g + 26. Let d = -3 + l. Which is the closest to -1? (a) d (b) -6\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*v + 10 - 10 + (-4 + 1 + 1)*(2*v + 2*v - 6*v) - v - 4*v + 3*v.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.68 - 2.12. Round p to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3155725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2 - 10. Let x(k) = 14*k**2 - k + 53. Let b(t) = 11*r(t) + 2*x(t). Let c(f) = -6*f**2 - 3*f - 5. Give -3*b(s) + 2*c(s).\nAnswer: 3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10\/11 (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -183.638 + -14.302. Let r = -198 - y. Which is smaller: -2\/31 or r?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + c**2 - c + 1. Let h be x(1). Suppose -531 + 1601 = -535*o. What is the closest to h in -0.19, -0.2, o?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81719 rounded to the nearest one thousand?\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-3 + (54 + -17 + -29 - (0 + 0))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*(-80)\/(-4200)*49.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262926 is divided by 913.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 0 + (-2)\/2. Let p be (-10)\/(-6)*(i - -1). Let o(j) = 5 - j**2 - 5*j + 3 - 1. Determine o(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in -0.1, 2, 697, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 9. What is o(8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from jdljdfvttljjjddd.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 21*l**2 - 108*l - 46. Determine a(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3721 and -0.2?\nAnswer: -744.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + n + 425 = 0, 23*n - 21*n = -j + 200. What is the greatest common divisor of j and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 25 = -8 + 19. Calculate the greatest common factor of o and 6417.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.87 + 1.13. Sort -1, -5\/2, j.\nAnswer: -5\/2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 187 - 129. Let r = t + -56. Factor -26 + 6*n + 17 - 15*n**r + 18.\nAnswer: -3*(n - 1)*(5*n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -4*i + 1\/20*i**5 + 0 - 1\/6*i**3 + i**2 - 1\/6*i**4. Factor l(b).\nAnswer: (b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -346 - 0.04.\nAnswer: -346.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/11, -1\/8, -3\/7, 1\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -15*c**3 - 8*c**2 - 4*c + 11. Let y(o) = -o**3 - o**2 - o - 1. Let p(s) = -x(s) + 4*y(s). What is the third derivative of p(n) wrt n?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -62 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -186+-0.3\nAnswer: -186.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 2*o - 28, -1900*j + 4*o + 52 = -1904*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9148181cm in nanometers?\nAnswer: 9148181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 44 = 13*b. Let x(f) = -f - 11. Determine x(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 6. Suppose -5*r + 35 = 10. Suppose -r*n = -14 - 1. Solve -n*v = v - q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40132 (base 6) in base 11?\nAnswer: 3a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((896\/(-12))\/28)\/(-2 + (-105320)\/(-52665))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 923719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 67, 180, 371, 640, 987, 1412, 1915?\n\"Answer: 39*q**2 - 4*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 977, 2040, 3103?\n\"Answer: 1063*b - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Let s(c) be the third derivative of 11*c**4\/24 - c**3\/6 - 4*c**2. Let j(a) = -s(a) + 5*t(a). List the prime factors of j(-9).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6139988 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/18)\/(55\/(-495)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 46 = -6*m, 9*m - 100 - 9 = -4*g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2209, -4254, -6297, -8338?\nAnswer: -10377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 41 = 4*y, 0 = -4*y + 4*z - 5*z - 21 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 + 0 + (1 + 2 - 1)*(1 + 1 + 0))*(-312*w**2 - 3231*w**3 + 3229*w**3 - 4*w**2) as u*w**3 + x + v*w + z*w**2 and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 13*m**4\/12 + m**3\/2 - 18*m**2 - 2. What is the tens digit of k(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4408 (base 10) to base 3\nAnswer: -20001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 4*s + 8, 20 = -4*d - s - 2*s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 10 = -3*l. Solve -l*k = 2*g - 2, g + g = 4*k + 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -11. Let h(u) be the third derivative of 0 + 0*u**w + 0*u + 1\/50*u**5 + 1\/525*u**7 - 1\/100*u**6 - 1\/60*u**4 + u**2. Let h(t) = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/146072 and 107\/219108?\nAnswer: 438216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 91575 divided by -45\nAnswer: -2035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 4*h**2 + 2*h - 2. Suppose -4*v + 17 = -5*z - 4, 4*v = -5*z - 29. What is the tens digit of k(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 38. Let k be a(7). Let r = 51 - k. Calculate the remainder when r is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 6*d + 6. Suppose 2*b = -5*u - 0*u + 327, 693 = 4*b - 3*u. Let l = -161 + b. Calculate the least common multiple of j(6) and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0 * 2419\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 5*b - b. Let z = b - -9. Let s be 1*(1 - 8\/12). Which is smaller: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 23*d**2 - 11*d + 8. Let u(t) = 2*t**3 - 10*t**2 - 15*t + 7. Let c be u(6). Calculate p(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**2 - 2*m + 4*m**2 - 3*m**2)*(-3 + 3 + 10*m**2).\nAnswer: 80*m**4 - 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 8*r**2 - 3*r - 20. Let u be y(-8). Let s = -1.98 + -0.02. Let k = -701\/1185 - 2\/237. What is the nearest to 2 in k, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**6\/180 - o**5\/30 - 5*o**4\/72 - o**3\/18 - 27*o + 7. Let d(x) be the first derivative of l(x). Factor d(v).\nAnswer: -v*(v + 1)**2*(v + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 0)*34\/(-4). Let l = p + 20. Factor -2\/5*u**4 + 0 + 0*u**2 + 0*u - 2\/5*u**l.\nAnswer: -2*u**3*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -11, -76, -253, -590, -1135?\nAnswer: -1936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 10 = 5*j. What is the remainder when 4 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 4. Let q be l(6). Sort q, -0.09, 3, -1\/3 in increasing order.\nAnswer: -1\/3, -0.09, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 2*x - 91. Suppose 0 = -8*m + x + 3. Solve -m*t - t - 8 = 0, -2*i + 5*t + 18 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 84*z**2 + 312*z - 304.\nAnswer: 2*(z - 38)*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 2*h - h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2852*h**2*p**3*u**2 + 2*h**2*p**3*u - 2*h**2*p**2 + 42*h**2 + h*p**3 wrt u?\nAnswer: 5704*h**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 14*w**2 - 3*w - 23. Let o be s(-14). Suppose o*u = 6*u + 4290. Does 30 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -84*g**3 + 3528*g**2 + 25*g - 1042. Calculate x(42).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51372\/17 - 3022. Which is the closest to 4? (a) -0.07 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4)*r**(2\/23))\/((r*r\/(r\/(r*r\/(r\/(r*r**1)))))\/r)**(1\/3))\/((r\/(r\/(r\/r**(-2\/13)*r*r)))\/(r**13\/r))**(-28) assuming r is positive.\nAnswer: r**(-75529\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2\/4 + 31605*i\/4 + 1196765 = 0. What is i?\nAnswer: -148, 6469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/9 - (-20)\/(-90). Sort x, 3, -4, -15.\nAnswer: -15, -4, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 2*r + 18. Let l be m(6). What is the fourth smallest value in -1\/6, 16, -3, l, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70695791497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27275819, -3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 21. Let t be o(-15). Let c be 16\/(-3204)*(t\/(-8) - 3). Is c less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + q + 5. Let m(n) = 4*n**3 - 13*n**2 - 4*n + 6. Let h(z) = -3*z**3 + 9*z**2 + 3*z - 4. Let b(p) = q*m(p) - 7*h(p). Calculate b(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 3*p**5\/20 + 5*p**4\/24 - p**3\/6 - 12*p**2. Is i(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 145480*s**2 + 1052818225*s + 78707223250.\nAnswer: 5*(s - 14585)**2*(s + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*u - 6144 = -208*u. Calculate the highest common divisor of u and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2736 is divided by 664.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 0)\/(1\/(-40)). Suppose 12*h - 30 = 9*h. What is the highest common divisor of h and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 5:30 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 21*d + 62. Let c be l(-23). Factor 2*z**3 + 6*z**2 - 2*z - 26 + 4 + c.\nAnswer: 2*(z - 1)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 126. Calculate the remainder when g is divided by 33\/(2 + -1) - (18 - 20).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 13*j**2 - 1231*j + 29119. Give w(48).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5098038 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.075 and 230.56735.\nAnswer: 230.64235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 254, 294, 370, 488, 654, 874?\n\"Answer: x**3 + 12*x**2 - 3*x + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 13*x - 28. Let p be v(15). Suppose 0 = -j - 6 + 9. What are the prime factors of 1 - (1 - j)\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138 + 202. Calculate the common denominator of -1*(316\/j)\/1 and (-7)\/(-4)*7*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67346 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0061358464 to 4 dps.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**(7\/3)*x*x*x)\/x)*x*x)\/x**(2\/27)*x\/(x**(-1\/25)\/x*x)*(x\/x**(2\/17))\/x)**33 assuming x is positive.\nAnswer: x**(-61226\/3825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 264207\nAnswer: -264206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 - 87. Suppose -2*m + 4 = d, d - 4*m + 1 = -5*m. Let v(b) = b**3 + 5*b**2 - 6*b + 4. What is the smallest common multiple of v(d) and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 6178?\nAnswer: 24712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 7*p**2 + 8*p + 5. Suppose 2*o - 3 = -1. Let m be ((-18)\/(-15))\/o*-5. Determine i(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*g - 14191, -4*q + 11357 = -2*g + 5*g. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346456 (base 7) to base 10.\nAnswer: 62320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0055359289 rounded to 6 decimal places?\nAnswer: 0.005536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -41. Let z(m) = -6*m**2 + 0 + 4*m - 2 + 34*m**u - 2*m. What is the tens digit of z(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (94*342\/150024)\/((-6)\/(-20))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -354 - -356. Suppose 5*j - 1848 = -3*t, -k*j + 21*t = 22*t - 740. List the prime factors of j.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*p + 5*o, -4*p + 50 = -0*p - o. Suppose 0 = 4*r + 8 - p. Is 0 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b**3 - 4*b**2 - 3*b - 2. Let y = -9 + 7. Calculate the remainder when t(y) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 6:16 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 - 130*m + 18208\/9.\nAnswer: 2*(m - 569)*(m - 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 11*a**2 + 67*a + 511. Give y(-7).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10080 divided by 10080\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 866\/(-27) - (-2936)\/39636?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**5\/20 + 161*h**4\/2 + 51842*h**3 - 568*h**2. What is q in o(q) = 0?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j - 23. Let h(r) = -13*r + 46. Let t(v) = -3*h(v) - 5*l(v). Let n be t(7). Suppose 0 = -q - 7*q - 88. Sort q, n, -1 in descending order.\nAnswer: n, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588\/70 - 10 - -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.88903 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 (base 2) in base 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 6*o - o)*(-9 + 2 + 0).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13.5 in -3, -0.12, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 28*k**2 - 39*k - 321. Let l be x(-27). Sort -25, l, 6 in ascending order.\nAnswer: -25, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 9:02 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -476, -951, -1428, -1907?\n\"Answer: -b**2 - 472*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78874*r**6 + 3*r**2 + 3*r + 20 wrt r.\nAnswer: -9464880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3818, 7637, 11456?\n\"Answer: 3819*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 13*u + 14 = 0. Solve 0 = -2*r - 5*m - 18, 3*m + 9 + 5 = u*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -16. What are the prime factors of (11 - 32)*20\/s?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 8124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87 or -92?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -843504 - -843608.9951. Let g = n - 105. Round g to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109116\/8660*40\/6\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 2*y - 5*y)*(4 + 6 - 1) + (-1 + 2 + 1)*(-13*y + 14*y - 5*y).\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*q + 2*t, 2*q = -t + 4 - 10. Suppose -5*j - 5*m = 1850, 20 = 3*m + m. Is (j\/6 + q)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -255, -265, -279, -297?\n\"Answer: -2*i**2 - 4*i - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -8. Calculate the highest common divisor of a and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*r**2 + 7*r**2 - r**4 + 18*r**3 - 2 - 18*r**3 to the form i + l*r + k*r**4 + c*r**3 + d*r**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 6. Let t be a(4). Let z = t - 3. What is the lowest common multiple of (1 - 0)\/(z\/(-3)) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-8))\/(((-851)\/(-6808))\/(18\/8))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 39 (c) 2\/385 (d) -1\/5 (e) -0.4 (f) -1\/2 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -1\/4 + 2*c + 1\/4*c**2 - 2*c**3 = 0.\nAnswer: -1, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**3\/6 - 2*f**2 + f. Let c be j(-3). Let g = c + 11. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -3 (c) -4 (d) -8012\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -81601 - 1327.118\nAnswer: -82928.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f = 1849517 - 15322917. Round f to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2981*i**2*k**3 + 42075*i**2*k + 14*i*k**3 + 2*i*k - 91*k - 545 wrt i?\nAnswer: -5962*k**3 + 84150*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -9. Suppose -m = 3*m - c. What is the biggest value in -4, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 751146863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 6. Let l = 0.63 + 7.27. Let r = -8 + l. Which is the nearest to r? (a) n (b) 0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 40*d - 108. Let b be x(14). Let u = b - 147. List the prime factors of u.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -91 + 93 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**5\/60 + 5*w**3\/6 + w**2. Let g(s) be the first derivative of -s**2 - 14517. Calculate k(g(u)).\nAnswer: -4*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - 30*j**2 + j + 3. What is a(15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 3745 = 273. Let z = g - 208. Suppose -l - 3*l + 40 = 0. What is the highest common divisor of z and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4204 and 2.327.\nAnswer: -9782.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 150*m + 83. Determine z(3).\nAnswer: 533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 35536 = -4*x + 1809, 4*x - v - 37349 = 0. Suppose x = 4*z + 1461. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.120364t to micrograms.\nAnswer: 3120364000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165 and 66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 40 (c) 0.3 (d) 307.9 (e) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 13. Let d(m) = 17*m - 4 - 5*m - 13*m - 5. Give 7*d(p) + 5*u(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*sqrt(121) - sqrt(121)))\/sqrt(11).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2405.201 - -10.599. Round n to the nearest 10.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/15)\/((-6)\/150)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 9)*(1 - 5 + 3)*(-1 - 2 + 5)*(a**4 + 3*a**4 - 3*a**4) to the form c*a**4 + s*a**3 + b*a + d + x*a**2 and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101001101 - -100010111000?\nAnswer: 1111000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r - 21 = 0. Let q(m) be the second derivative of -2*m**3\/3 - m**2\/2 + m. Let l be q(-2). Calculate the greatest common divisor of r and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d = 0. Let z(o) = -o + 3. Calculate the remainder when 10 is divided by z(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*h = -107*h - 703178. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62305655.\nAnswer: 5, 19, 655849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h + 20. Let f be n(8). Suppose 0 = -3*c + o - f, -5*c + 4*o - 88 = 2*o. Is 2\/2*(12 - c) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61.4943 * 0.11.\nAnswer: -6.764373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300266, -301285, -302304, -303323, -304342, -305361?\nAnswer: -306380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/7 + 107784*j\/7 + 726086916\/7.\nAnswer: 4*(j + 13473)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 11. Let a be t(-10). Let v = 1 + 2. Let n(i) = 6*i**2 - 1 - 3*i**2 + v*i**2. Calculate n(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 1025.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oltt when four letters picked without replacement from {o: 1, t: 4, l: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 189832 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5 = 5*u. Let r(q) = q**2 - 4*q. Let l(v) = -v + 1. Let p(a) = -4*l(a) + r(a). What is the lowest common multiple of u and p(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -6. Let u be 6\/s + 18\/(-12). Let v = -1653 - -1654. Which is the second biggest value? (a) v (b) -13 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000098026 rounded to 7 decimal places?\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.96099 + -679?\nAnswer: -626.03901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.5 (b) -64\/11 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**5\/3 + 1304*w**4\/3 + 145558*w**3\/3 + 4110632*w**2\/3 - 8663159*w\/3 + 4405664\/3 = 0.\nAnswer: -1184, -61, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-3*q + 5*q + q)*(10*q + 26*q + 6*q).\nAnswer: -126*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, r: 5, z: 3}. What is prob of picking 2 z and 1 r?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30314, -30309, -30300, -30287, -30270, -30249?\n\"Answer: 2*w**2 - w - 30315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**8\/112 + c**4\/24 + 20*c**2. Find the second derivative of v(i) wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.29 - 6. Let l = 0.3 - w. Let z = -3.01 + l. Put -2\/7, z, 3 in descending order.\nAnswer: 3, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-5)*(-16 - 44\/(-12)*3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/4*x**2 - 1 - 3\/4*x**3 - 3*x.\nAnswer: -(x + 1)*(x + 2)*(3*x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b*b**(4\/5)*b)\/b)\/b**(7\/3))**(-2\/145))**(-47) assuming b is positive.\nAnswer: b**(658\/2175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5, 2*k - 2*j = 10 + 8. Let d = 13 - k. Solve 0 = 4*m - 3*x - 1, 4*m - x - 6 = d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2643 - 4250. Is f bigger than -1606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 623 divide 94084672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1920200141 to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 2*d**2 - d. Suppose 3*o - 2*v - 8 = 0, -9 = -4*o + v - 0*v. Let i be w(o). Suppose i = k - 8. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 106*a - 17375. Give z(89).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-91403)\/267)\/(-79)*((-2)\/(-4))\/((-2)\/36).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1 (c) 3 (d) 0.085 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15*27\/270*(-4)\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17060568*m + 17060536*m + 0 - 34121104*m - 11*m**2 + 0.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*y = -3*y - 10, -19 = 3*b - 2*y. Let i(r) = r**2 + 5*r + 6. What is i(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u**2 + 38 - 38)*(3*u - 3*u + u) + u**3 + 1 - 1 + (2*u - 3*u + 0*u)*(3*u**2 + 10*u**2 - 4*u**2) to the form x*u**2 + y*u**3 + n + h*u and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4 = 8. Let b be 2\/w*3\/(-6). Let v be -1 + (-7)\/(-9) + 0. What is the second biggest value in v, -0.1, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = -3. Differentiate 2*v**u - 2 - 3*v**4 + 5 with respect to v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 341\/87, -5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2. Suppose 2*o - 3 = n, -3*o - o = -n - 11. Let l(b) = 80 - 80 - o*b**2 - 3*b**2. What is l(x(i))?\nAnswer: -28*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 190*w**2 - 10*w + 17. Suppose y = 5*a + 7, 9 = 3*y + 7*a - 10*a. Is s(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3751694 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -22 (c) -0.03 (d) 1 (e) 240\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k + 24 = 4*u, 2*u - 11 = k. Let f = u - 10. Suppose z - 8*v = -5*v + 11, -2*z - v - 13 = 0. Sort z, 3, f in ascending order.\nAnswer: f, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 3 (b) -0.1 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 26 + 94 = 0. What is the remainder when y is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/10 + (-14)\/30. Suppose 8*m - 3*m = 0. Which is smaller: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a day in minutes?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 2, 5, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5712 and 604656?\nAnswer: 4232592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 40437 = -3*y, -4*y - 4*b + 48230 = -5670. Let g = -8401 + y. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*y + 250*y - 16017 = -11652 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2318 > -2316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Suppose -4*p + 1692 = -6*h + s*h, 2*p + 3*h - 826 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 3*s - 4*s + (-663 + 447*s + 663)*(3 - 1 + 1)*(3 + 2 - 3) to f*s + x and give f.\nAnswer: 2683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 67, 75, 93, 127, 183, 267?\n\"Answer: h**3 - h**2 + 4*h + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 19*g - 4*g + g + 0*g. Let d(f) = 2*f**2. What is d(u(a))?\nAnswer: 512*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/25 at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 6*v - 2. Suppose 5*a - 3*s - 14 = 0, -5*s = -12 + 2. What is o(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -k + 5*k. Suppose -16 = k*w + 3*g, -4 = 3*w - g - 0*g. Let m(h) = -4*h**2 - 3*h - 3. Let z(b) = -3*b**2 - 2*b - 2. What is w*m(v) + 3*z(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*z + 1, 0 = z - 2*p - p - 3. Suppose t - 3 + 2 = z. Suppose -3*d = -5 - t. Let s(v) = -v**2 - 2*v + 3. Determine s(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1540, 3401, 5286, 7207, 9176, 11205, 13306, 15491?\nAnswer: 17772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/9)\/(-1))\/(175\/(-210))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**8\/5040 + k**7\/1680 + k**6\/360 + k**5\/12 - 4*k**2. Let n(o) be the third derivative of y(o). Calculate n(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 281.1993\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = -35*b + 52*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - r**2 + r + 21. Let k be d(0). Suppose 15 = 3*v - k. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 2:35 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 170.77 - 26712079.\nAnswer: -26711908.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37054\/13 - -51689797\/18135. What is the common denominator of -11\/837 and w?\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + v - 1. Let n be v\/1 - 6\/(-2). Suppose -5*i + 61 = -i - 3*l, 4*l + 28 = n*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4, 5, 2\/13, -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 + 20 - 7*w)*(-3 - 2 + 8) - 145*w + 289*w - 142*w - 54 in the form t*w + a and give a.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1491 - 1430. Calculate the remainder when w is divided by 39.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32759112?\nAnswer: 2, 3, 1364963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153222165 and 21183.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y + 32*y + 50*y - 2*y**2 - 24*y to d + m*y + j*y**2 and give m.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**4 - d**2 - 2*d. Let u(b) = -9*b**4 + 20*b**3 - 16*b**2 + 8*b + 1. Let k(j) = -6*m(j) - 3*u(j). Determine q, given that k(q) = 0.\nAnswer: -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + i + i**3 + 4*i**2 + 2*i as t + d*i + k*i**3 + a*i**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -9 + 37 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 573270261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -29 times -6\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.053 + 1.947. Let x = -86 - -85.5. Which is the second smallest value? (a) 4 (b) x (c) f (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 57 - 9 - 20645434*d**3 + 20645430*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/407 + 788\/5291. What is the second biggest value in -5, k, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552157179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100454 is divided by 1778.\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bd + 4?\nAnswer: -1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.822682 nanograms to kilograms.\nAnswer: 0.000000000009822682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as 78864\/20465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 1)*15*(-3)\/(-9). Let s(p) = 0*p**2 + i*p**2 + 0*p**2 + 3*p - 8*p**2 + 1 - p**3. Determine s(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1423297 is divided by 50827?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 0*r + r + 46, 3*u = 4*r - 41. Let t = u + 20. Factor -2*l**3 - 3*l**2 - l**2 + t*l**3 + 10*l**2.\nAnswer: 3*l**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -3455a0?\nAnswer: 34559a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006322 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3865, -15587, -35181, -62647?\n\"Answer: -3936*f**2 + 86*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 959, 1030, 1103, 1178?\n\"Answer: j**2 + 68*j + 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 4*l**2 - 5*l + 7. Let g be u(5). Let o(c) = 394*c + 92. Let v(w) = 303*w + 71. Let j(s) = 10*o(s) - 13*v(s). Calculate j(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = z + 19. Let y(o) = -6*o - 1 + 14*o - 9*o + z. Let n(q) = -1. What is -7*n(l) - 2*y(l)?\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 2\/3 + (-1548)\/(-216)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-7)\/(-42) + 50\/(-12). Let f be o\/(-2)*(0 - 6\/(-4)). Suppose -4*u + 3*u + f = 0. Solve -2*c + 5 = -u*d, -3*c - 3*d = -6*c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**4\/12 + 4*y - 22. Let k(j) = -9*j**2 - 6. What is k(r(o))?\nAnswer: -9*o**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f - 2. Let n be g(1). Let k be ((-3)\/(-7))\/((-66)\/(-77)). What is the biggest value in k, n, 0.03?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13979267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 614, 607, 598, 587?\n\"Answer: -s**2 - 4*s + 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 8 = 2*r, -r - 15 = -6*r - b + 3*b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404628.6 weeks to hours.\nAnswer: 67977604.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.512*4\nAnswer: -2.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1274\/10243?\nAnswer: -1274\/10243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 0 - 5\/(4\/(-24)*34 + 4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8939 and 37793.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 4:05 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4008, 463, 2 in increasing order.\nAnswer: 2, 463, 4008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 640 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 68.1.\nAnswer: 67.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 904826 divided by 26\nAnswer: 34801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 687*d**3 - 2*d**2 - 48*d + 104. What is the hundreds digit of n(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*i**5 + 54*i**5 + 209*i**2 - 196*i**2 - 3 wrt i?\nAnswer: 4860*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 4:55 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 37148*c**2 - 7800*c**2 - 68*c + 68*c as m*c + z + i*c**2 and give i.\nAnswer: 29348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/12))**(-47) assuming o is positive.\nAnswer: o**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30*4\/(13 - 1). Let q = r - 0. What is the remainder when q is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-27 + -6 - 5 - (-20 - -17))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (1 - 3 - 2) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 (base 16) in base 7?\nAnswer: 3664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.066 - -0.034. What is the third biggest value in a, 3, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*d**2 - 271*d + 135*d + 133*d + 211*d**2.\nAnswer: 20*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4*b = 0, o + 4*b + 2 = 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 30. Suppose -2*y + 5*o = -30, y + 0*o + 3*o - q = 0. Solve 3*k + 3 = -4*p, -3*k + 0*k = y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n + 23*n)*(-99*n - 3 - 2*n - 37*n + 48*n).\nAnswer: -2250*n**2 - 75*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.41, 246, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3312)\/(-11040)*(2 + 23)\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 136, 149, 178, 229?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 9*u + 20 = 0. Let b(k) = -3*k - 5. Let w be b(u). Let i = w + -2. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10258, -11344, -12430?\n\"Answer: -1086*o - 9172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55630771.\nAnswer: 7, 31, 256363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7616 + 15255\/2. Calculate the common denominator of 7\/222 and c.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366479, -731676, -1096873, -1462070, -1827267, -2192464?\nAnswer: -2557661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1003157144.1 to the nearest 100000.\nAnswer: -1003200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 + 278*d**3 + 5*d**2.\nAnswer: 278*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 4 = -16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 643859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 656, 1888, 3120, 4352?\n\"Answer: 1232*i - 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -143256?\nAnswer: -1\/143256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/12 and 71\/723?\nAnswer: 2892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -944, -1915, -2886, -3857, -4828?\n\"Answer: -971*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 1187?\nAnswer: 18992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j = 3*j - 60 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -7*i**4\/6 + 4*i**3\/3 + 13*i**2 - 40*i. What is the first derivative of c(n) wrt n?\nAnswer: -28*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/5 - 1\/5. Suppose 0*r = 5*r - 15. Sort r, -1\/3, w in increasing order.\nAnswer: w, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 - (-13)\/3. Let n = -6\/35 - -4\/15. Let l = -3.95 + -0.05. Which is the third smallest value? (a) t (b) n (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wewwe?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r + 6 = -34*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107\/25 or 5?\nAnswer: 107\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cceq when four letters picked without replacement from {c: 4, o: 1, v: 5, q: 1, e: 3}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000578559868 rounded to seven dps?\nAnswer: -0.0005786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**2 + 3*d - 9. Let f(m) be the first derivative of 2*m**3\/3 + m**2\/2 - 3*m + 1. What is 11*f(l) - 4*t(l)?\nAnswer: 2*l**2 - l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x - 134 = -398. Let w(c) = -2*c + 25. Let h be w(10). Sort x, h, 4 in decreasing order.\nAnswer: x, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssix when four letters picked without replacement from hssxhxsisxi.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f - 7. What is the remainder when 38 is divided by d(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 476 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - -1 - (-4)\/(-2). Suppose 3*v + y = -2*y, d*v = 5*y. Solve -3*g - 15 = v, 2*l + 5*g + 25 = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58500445 and 2.\nAnswer: 117000890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w + 89. Let v be d(-10). Suppose -6*k = b - 25, -5*k - b + 12 = -v. Solve 0*l - 1\/5*l**5 + 0 - 4\/5*l**2 - 8\/5*l**3 - l**k = 0 for l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3036*v + 3120*v = -4032 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n - 16. Let g = 0 - n. Solve 4*o + 7 + g = 3*s, -32 = 4*s + 4*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8728.2054 to the nearest 10.\nAnswer: 8730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 15*z**2 - 7*z + 19. List the prime factors of h(11).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -f + 5, b = -5*f + 16. Let c be (b + 8)*6\/(-9). Let h be (-4)\/(-3)*(-315)\/c. What is the highest common divisor of 28 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in -0.08, 7, 5, -1, -2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4*(7 + 1). Let j be ((2*-6)\/(-3) - -3) + m. Let l(x) = x**2 - 10*x - 13. Determine l(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 6:41 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 13*p - 40*p - 7 + 3*p**2 - 19*p**3 + 24*p as w*p + c*p**2 + o*p**3 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 18.5. Let v = 0.5 + x. Let c = -5 - v. What is the second biggest value in -1\/6, 0.1, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + 10 - ((-1823465)\/(-40460) - 36) and -37\/12?\nAnswer: 3468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 1. Let u(r) = 18*r + 82. Let l(q) = -u(q) + 12*x(q). Differentiate l(z) with respect to z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 + 81*x + 27*x + 39*x - x - 26*x.\nAnswer: 3*x**2 + 120*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*x - 1032 = 0, -5*z + 2649 = -56*x + 60*x. Calculate the greatest common factor of 500 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 2\/5*c**5 - 5*c**2 + 3 - 3\/2*c**4 + 0*c - 6*c**3. Factor i(r).\nAnswer: 2*r*(r - 5)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 16653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-190)*172\/33712*-112.\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001 + -110000?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 2*n - 24, 4*n + 3 + 9 = 4*y. Solve k + 3 - y = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*l - 46*l = -c, 3*l - 4 - 7 = -6*c + 4*c + 2 + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.21 + -25. Round h to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-6)\/4)*(-78 + 76). Let d = 119 - 123. Let y(t) = -t**3 + 3*t**2 + 3*t + 2. Let f be y(4). What is the nearest to d in p, 1\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**2\/2 + t + 1. Let a be g(-3). Suppose 5*i + a*c + 11 = 0, -4*i + 6 = -c - 2. Solve -2*w + 3 = i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81950*s**3 - 4*s**2 - 2*s - 258 wrt s?\nAnswer: -491700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1585258*x. Let p(b) = -46*b. Calculate w(p(t)).\nAnswer: 72921868*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 - 7 = 0. Suppose -1 = -3*p + f. Solve k + p*k = 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 288 in -1.97, -2\/5, -6\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*1\/(2\/24). Let d(z) = -15 + z**2 - 495*z + 119*z + 123*z + 122*z + 121*z. Is 2 a factor of d(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 + -89. Suppose -m - 89 = h*z - z, -2*m - 169 = z. Is -165\/2 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -49. Let q(z) = 19*z + 40. Let a be q(l). What is the highest common divisor of 39 and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 44?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1524 + (-10)\/15 + 22\/6.\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 18*t**2 + 99*t + 86. List the prime factors of j(-17).\nAnswer: 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + o = 3*a - 69, 2*o + 46 = 2*a. Suppose a = -5*j + 4*j. Let l = j + 56. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide -2*(-2 + -2 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, x: 6, a: 3, z: 1, n: 1, k: 1}. What is prob of picking 1 x, 1 z, and 1 a?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w + 2*w - 1 - w. Suppose -o + 5 = -0*o. Let n(l) be the first derivative of -l**2\/2 - 1983. Give o*n(z) - h(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 443, 3326, 11087, 26144, 50915, 87818, 139271?\n\"Answer: 403*p**3 + 21*p**2 - p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5168879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v + 2. Let i = 119 + -65. Let y = 58 - i. What is the units digit of x(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -2 + -3 - 121) + (0 - -20)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116 - 114. Solve d*g - g = 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -379 + 388. Let r be (-1 + 6\/9)\/(3\/o). Which is the closest to 0.9? (a) -2 (b) -1\/8 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**3 + m**2 - m - 1. Let s be d(-1). Suppose 3*f - 2*f = 1. Let o = -208 - -208.2. What is the nearest to o in s, 2\/13, f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - p + 575 - 39 = 0, 4*p + 531 = 5*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -146*s**2 - 2*s - 3. Let m be n(-1). Let b = m + 207. Let z = b + -59. Are -1\/26 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h = -10. Let b be 3 + 4\/h + -385. Round b to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35210, -70382, -105554, -140726, -175898, -211070?\nAnswer: -246242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1520 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 22 = 3*q, q + 12 = 4*q. Differentiate -h*r - 15 + 9 + 9 - 2*r wrt r.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**3*y**2 + 1302*s**3 - 28*s**2*y**2 - 82*s**2 + y wrt s.\nAnswer: -12*y**2 + 7812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 517208 (base 10) to base 15\nAnswer: a33a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 10090*m - 1. Let q(t) = -32*t. Give k(p) - 3*q(p).\nAnswer: 10186*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -2. Suppose -k*y = -31 - 19. Suppose 0*u = u - y. What is the smallest common multiple of 14 and u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -15. Let w = d - -7. Solve -6*q = -w*q + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Let s = 2 + k. Let c = 7 - s. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -36*d**2 - 4240*d + 46801. What is i(11)?\nAnswer: -4195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 3*o**3 - 2*o**3)*(0*o - 2*o + 3*o)*(-o - 4*o + 3*o + (-55 - 92 + 36)*(-2*o - 2*o + 5*o)).\nAnswer: 339*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*i + 5. Suppose 0 = 2*l - i + 4. Let z(f) = 13*f**2. Calculate z(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 744 and 5611?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) -1 (b) 2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082 divided by -4094?\nAnswer: -541\/2047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 3) + -6 + (-2 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 6897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 24. Let z be ((-188)\/i)\/(3\/15). Let l = z - 39. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**6*n)\/(n\/(n\/((n\/(n\/((n\/((((((n\/n**11)\/n)\/n)\/n)\/n*n)\/n))\/n)))\/n))) assuming n is positive.\nAnswer: n**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + w = -5*p + 15, 2*p - 5*w = 13. Let v be p\/(4\/5) - 1. Suppose -4*x - 22 = -2*k, 0*x + v*x = 5*k - 43. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1617\/(-804) - -2)\/((-18741)\/24988)?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 0.3 (c) -0.7 (d) -83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*-3*1*sqrt(1088) + -4.\nAnswer: -4 + 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -20, i = -v - 3*i + 38. Calculate the least common multiple of 1 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*v - 6*v - 459. Suppose 65 + v = 2*n + 4*a, 0 = -2*n - a + 98. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3728 is divided by 163?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 1, -272, -811, -1706, -3047, -4924, -7427?\nAnswer: -10646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-15) + 8\/5. Let l = 43 - 29. Let x = -16 + l. Sort 0.5, z, x in descending order.\nAnswer: z, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-5))\/q)**17\/(q**(-5))**(-2\/9) assuming q is positive.\nAnswer: q**(755\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 15\/(-10)*4\/2. Let s(a) = -5 - 7*a + 3 - 3 + 5*a**3 - 4*a**3 + 13*a**j. What is the units digit of s(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000577 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 3, i: 2, e: 4, x: 2, a: 2}. What is prob of sequence aa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 7560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 101011011110100010110?\nAnswer: 101011011110100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3191088731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1006 - -1058. Is m > 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l + 2*l + 3*l)*(-15*l - 3*l + 0*l) as h*l**2 + g*l + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 28 = -0*t + 4*t, -2*t - 4*z = 16. Find the second derivative of 4*w + 3*w**2 + 0*w**t - w wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -100. Let b be (9*(-20)\/l)\/((-2)\/32). Is b != -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-28) + 1 + 206\/14. Suppose 0 = -d - 5*x + n, x = 5*d + 3. Suppose -4*b + 2 + 10 = d. Solve 3*a - 24 = 3*q, q - 2*a = -b - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i\/(i*i\/(i**4\/i))))**(-23) assuming i is positive.\nAnswer: i**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {y: 6, h: 7, s: 6}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7475.04 hours?\nAnswer: 311.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 334 and 268098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*c = -30, 2*k + 2*c - 28 = -2*k. Let l be 1*k*2\/4. Suppose 5*h + 4*a - 42 - 13 = 0, -h = l*a - 27. Let m(d) = -d + 3. What is m(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -0.03 (b) 0.4 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1 + sqrt(704))*5 - -5*(-1 + sqrt(704)))**2.\nAnswer: -1600*sqrt(11) + 70500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 3 - 2 + 3. Let o(r) = -2*r + 1. Let y be o(1). Let a = 1 - y. Give s(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131 + -135. What is the remainder when 29 is divided by (-325)\/(-17) + -2 + o\/34?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1878 - 3652. Let x = -789 - g. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22503549828 from 0.27.\nAnswer: 22503549828.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3747304g in nanograms?\nAnswer: 374730400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 5*x - 3*h, h + 59265 = -4*x + 59228 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3269291 is divided by 3064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 65*b**3 + 2*b**2 - 22*b - 6. Let l(g) = g**2 - 3. Determine 2*l(y) - z(y).\nAnswer: -65*y**3 + 22*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2671 + -2676. Sort o, -1\/3, -465, -0.4 in increasing order.\nAnswer: -465, o, -0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 2. Let i(q) = 2*q - 3. Suppose -b + 2 = -2*b. Let h(w) = b*i(w) + 3*n(w). Let d(x) = 2*x - 2*x - 4*x**2 + 3*x**2. Calculate h(d(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c83f7 (base 16) in base 13?\nAnswer: 1067593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) 0.1 (b) 2 (c) -1.1 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.85 from -0.1752471.\nAnswer: -2.0252471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 847249704 to the nearest integer?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 114959 or 1034620\/9?\nAnswer: 1034620\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10 = 5*j, k + 14 = 2*j + 3*j. Suppose -r + 28 = k*r. Solve r*m - 32 = -3*n, -3*m - n + 23 = n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73 + 4587*k**6 + 27*k**3 - 9*k**2 - 4588*k**6 + 11*k**2 wrt k.\nAnswer: -120*k**3 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 127 = 3*z - 0*v, 5*z = 2*v + 185. Let t(u) = u**2 + 2*u - 9. Let b be t(-8). Suppose 4*i - 21 = b. What is the remainder when z is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 11:19 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/2)*p**(-10) assuming p is positive.\nAnswer: p**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42961.\nAnswer: 42961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 11*g**5\/60 - g**4\/24 - 2*g**2. Let j be z(1). Suppose 7*p = 2*p + j. Solve -w - w - p = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -10113?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.3. Let k(z) = -z + 1. Let o be k(0). Suppose -5*s = -o + 11. Sort s, -5, d.\nAnswer: -5, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1240641 and 6408?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmm. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92872*f**5 - f**2 + 786*f - 92783*f**5 + 17*f**2 wrt f?\nAnswer: 1780*f**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2152 = -4*y, -3*y = 4*z - 7*z - 1632. Let q = y - 516. Solve 3*o + 14 = k - 0, 5*o + q = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*z**2 - 272*z**2 - 62*z**2 + 3*z**6 - 29*z**4 + 115*z**4 wrt z.\nAnswer: 360*z**3 + 2064*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -124*o**3 + 62*o**2 - 62. Let n(p) = p**2 - 1. Determine 62*n(j) - w(j).\nAnswer: 124*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 555211 + -31?\nAnswer: 555140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4460937 litres?\nAnswer: 446.0937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42591 is divided by 394?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2895 - -2894. Sort 0.0232, 2\/5, p in descending order.\nAnswer: 2\/5, 0.0232, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91729, -91726, -91723, -91720, -91717, -91714?\nAnswer: -91711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*o - 1114 - 3046 = 69*o for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6009*-1*(-1799)\/220. Let a = 49137 - s. Let h = 1\/20 + a. What is the smallest value in -4, 1, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336305 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + t**2 - t - 1. Let l(j) = -4*j**3 - 6*j**2 + 5*j + 8. Determine -6*k(y) - l(y).\nAnswer: -2*y**3 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 84\/36*8\/(-14)*-3. Suppose b + 7 - h = -k, -2*b - 6 = 5*k. Solve -z + 3*z - 4 = k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - s - 20, 3*w = w + 4*s + 20. Let m(k) = k**3 - 3*k**2 - 10*k + 3. Let b be m(4). Let q = 25 + b. Solve -w*u + q = -8*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p + 13*p - 6 - 55 + 61.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/192708 and -1\/11211.\nAnswer: 7130196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/9 + 3788*q**3\/9 - 2220520*q**2\/9 + 452458804*q\/9 - 5581319090\/3 = 0. Calculate q.\nAnswer: 47, 421, 1005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 0*f**2 - 9*f - 7\/72*f**6 + 47\/24*f**5 + 19\/3*f**3 + 35\/12*f**4 + 0. Let g(i) be the second derivative of b(i). Factor g(v).\nAnswer: -5*(v - 7)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1 - 3 - (-11 + -67)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 515446 from 0.9.\nAnswer: -515445.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1613, 3067, 4521, 5975, 7429, 8883?\nAnswer: 10337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25963 - -79294. List the prime factors of w.\nAnswer: 3, 29, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001010110010100000 (base 2) to base 13.\nAnswer: 16b9a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 5. Let u be z(-13). Let s(p) = -17*p - 3*p**2 - 8*p**2 + u - p**3 + 0*p**2. Let o be s(-9). Let t(k) = 11*k**3 - k**2 - 2*k - 1. Give t(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + a**2 + 7*a - 7*a to the form m + z*a**2 + w*a and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7210343736 + 7210343667.00000066. Let v = k + 69. What is v rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 287, -2, -3.\nAnswer: -3, -2, 0, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g - 19. Let f = 108 - 121. Let h be k(f). Differentiate -h*a**4 - 8 + 22 - 34 wrt a.\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310 + 312 - 1233 + 304 + 307 - 2*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - 3\/(-4) - -2. Let j be (111\/9)\/(52\/12) - 3. Sort j, h, -1 in descending order.\nAnswer: j, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m - 22. Let j be q(-9). Solve -22 = -2*s - 4*o - 0*o, 3*o - 20 = -j*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -9, 1187, -425 in increasing order.\nAnswer: -425, -9, 8, 1187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5496362 - 1.8287.\nAnswer: -5496363.8287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0*s**4 + 0*s**3 + 2*s**2 + 0*s**5 - s + 0 + 2\/15*s**6. Differentiate b(h) with respect to h.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3642.5 - 3642. What is the nearest to 0.07 in -1\/8, m, -0.3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 251 - 1003\/4. Factor 1\/4*p**2 - 1\/4*p**5 - 1\/4*p**4 + f*p**3 + 0*p + 0.\nAnswer: -p**2*(p - 1)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - (sqrt(8) - (sqrt(16)*-2 + sqrt(16))\/sqrt(2) - sqrt(8)))\/(sqrt(100)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 29. Let u = -1340 + 1341. Is (t - 5)\/(-6) - -29*u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - (sqrt(196)*1 + sqrt(196) - sqrt(4) - sqrt(4)))*3)\/(sqrt(18)*-5 + sqrt(18)*3).\nAnswer: 11*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + z**2 + 4*z - 3. Let o be v(2). Suppose 3*j - 56 = -4*s, 3*s = -j + 2*s + o. Calculate the greatest common divisor of j and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17199*p + 9193*p - 19422*p as q*p + t and give q.\nAnswer: -27428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 41*o + 1057. Calculate r(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (20358\/1885)\/((-14)\/(-35))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -146276 divided by 4\nAnswer: -36569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1439, -1443, -1447?\n\"Answer: -4*h - 1435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1587872248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 865167.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 3*d**5\/10 + d**4\/6 + d**3\/3 - 4*d**2. What are the prime factors of y(-2)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5275537, 5275535, 5275533, 5275531, 5275529, 5275527?\n\"Answer: -2*w + 5275539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1528, -3013, -4462, -5869, -7228, -8533, -9778, -10957?\nAnswer: -12064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -834?\nAnswer: -1\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 3*f**2 + 2*f**2)*(-3 - 2 + 2*f + 7)*(34*f**2 + 106*f**2 - 37*f**2).\nAnswer: -412*f**5 - 412*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**4\/4 - 4*o**3 + 11*o**2\/2 - 12*o - 624. Calculate t(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 20, 0.5, -4, 5 in increasing order.\nAnswer: -4, 0.5, 5, 20, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2*w**2 + 28*w + 4 + 48*w.\nAnswer: -2*w**2 + 76*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 8*j**2 + 10*j + 16. Let r be g(-7). Sort -96, -1, r.\nAnswer: -96, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -468, -1257, -2046?\n\"Answer: -789*z + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 5*s + 9. Let z be j(-7). Let p = 2 + z. Is -3 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3 + 10763*a**2 - 28976680*a + 86833200 = 0. Calculate a.\nAnswer: 3, 5380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43)\/(-430))\/((220\/16)\/11)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21805*g + g**3 + 4*g**3 + 21805*g - 7*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 - -0.05. Let i = -0.3 - -0.5. Let o be (-4)\/(-6) + -1*1. Which is the nearest to l? (a) i (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676*s**2 + 684*s**2 - 3158*s**2 + 615*s**2 + 650*s**2 + 815*s**2.\nAnswer: 282*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxfk when four letters picked without replacement from {x: 13, k: 4, f: 3}?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/80 and 29\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 80 = -10*x. Suppose 0 = -3*g + 20 + 46. What is the least common multiple of x and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by 2.\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 + 113 + 25*o - 7*o**2 - 22*o.\nAnswer: -7*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1484 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.6034 + 0.3966. Let j = 1244\/7 + -178. Which is the closest to j? (a) p (b) -1 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70590 and 19005.\nAnswer: 494130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 355845 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 0 - 13 + 1 + 23*m. Is w(2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, e: 3}. What is prob of picking 3 e?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 3236824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 5*k + 3. Suppose 4*h - 26 = -10. Give o(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23295 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k - 4 - 2*k**2 + 3*k**2 - 6 + 2. What is the units digit of g(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**3*u**(-2\/11)\/u*u\/((u**(-3\/5)\/u)\/u)*u**(-4)*u*u\/(u\/((u\/(u\/(u*u**(-2\/21))*u))\/u))*u**(-1\/12)\/u*(u**(-1\/2))**(-3\/8) assuming u is positive.\nAnswer: u**(2631\/6160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnnccncnncnnn. What is prob of sequence cc?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*o + 15*o + 25. Suppose 3*y + 522 = 3*b, 0 = 3*b + o*y + 298 - 836. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2753 - -2756. Sort -0.5, 81, 4, c in descending order.\nAnswer: 81, 4, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38937065 to the power of 1\/3, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*z - 71*z - 2*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.7 - 4.7244. What is y rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.520425us in milliseconds?\nAnswer: 0.001520425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1511*f**3 - 24*f**2 + 111*f - 77. Is c(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456804943?\nAnswer: 7, 17, 173, 22189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33525, -34854, -37075, -40194, -44217, -49150, -54999?\nAnswer: -61770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10, 43, 100, 181?\n\"Answer: 12*p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b3a5 + 41?\nAnswer: -1b364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2212 - -5089. What is the highest common divisor of d and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 30 = 4*k. Let v be 16\/33 + 4\/88*4. Which is the nearest to k? (a) -1\/5 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 3*i**2 + i + 4. Let h be a(4). Let s = h - -13. Sort s, 4, -1.\nAnswer: -1, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*a + 3*a**2 - 306*a + a**3.\nAnswer: a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347*o + 239*o + 232*o - 2454 = 0. Factor 3\/4*p**o + 765\/4*p - 675\/4 - 93\/4*p**2.\nAnswer: 3*(p - 15)**2*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100903 divided by 18.\nAnswer: 100903\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 7:08 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47 minus 0.7218812?\nAnswer: -0.2518812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 613 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -5986.1.\nAnswer: -5983.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23\/21 + -1 - 325532\/(-4074). Solve -18*h - x = 28 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -368 take away 31.94?\nAnswer: -399.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 0 + 34 + (5 - 22 - -2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/16*35 - (-2)\/8. Let j = 79 + z. Suppose 0 = -0*u - 8*u + j. Calculate the remainder when 26 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-203)\/(-28) + -7)*4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000897363906 rounded to six decimal places?\nAnswer: -0.000897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/41)*t*t**0*t)**(-5\/3)\/(t*t**13*t\/(t\/(t**(-10)*t)))**11 assuming t is positive.\nAnswer: t**(-7370\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9 + 1 = 0. Let a = z - -16. Let w(f) = f - a*f + 4*f - 1 - 1. Calculate w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -i + 8, -2 = p + 3*p + 5*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from silbjssbxjsx. What is prob of picking 1 s and 1 x?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/168)\/25*12.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38368 - -38363. Let a(l) = -8*l - 5. Suppose -z + 11 = -5*i, 0*z = 3*z + 12. Let x(r) = 4*r + 3. Calculate i*a(k) + q*x(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1925*d**2. Let s(f) = 45*f + 81. What is s(v(n))?\nAnswer: 86625*n**2 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -442a (base 12) to base 8\nAnswer: -16542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*t**3 - 2483*t**2 - 1927369*t + 2?\nAnswer: -192*t - 4966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*g**2 + 20*g**2 - 2*g**4 + 23*g**2 - 9*g**3 in the form i + c*g**3 + t*g + l*g**2 + q*g**4 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104604 and 82.\nAnswer: 4288764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uububub. Give prob of picking 3 b and 1 u.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/(-16))\/(60\/(-2600)) and 77\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 16*t - 14*t. Solve -4*d - i + 5 = 0, -4*d + 6*i + t = 5*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 5*k**2 + 6*k + 8. Let j be (1 - 1)\/(3 + -2). Suppose -2*q - 4*i - 32 = j, 3*i = 3*q - 0*i + 3. What are the prime factors of l(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2. Suppose -f - l + 3 = 3*l, -2*f + 5*l + 6 = 0. Let x be 24\/72*(5 + 1). Let w(g) = 0*g**2 + g**2 + f*g**x. Determine w(t(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + z - 9. Let i be w(0). Let v(m) = -m - 13. Let a(j) = 2*j + 27. Let x(s) = 2*a(s) + 5*v(s). Let r be x(i). Which is bigger: r or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220, -870, -1954, -3472?\nAnswer: -5424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 19 = 6*w - 4*t, 497 = 3*w - 100*t - 22*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115\/6 + -19. Which is the second smallest value? (a) -0.1 (b) o (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 36 = 6. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1434 - 2?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/5 and ((-32)\/30)\/(36\/(-30))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 222316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -32. Suppose 5*v - j*f = 5 + 4, 0 = 2*v - 3*f - 8. Suppose -v = -3*s + 14. What is the third smallest value in -2, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11122 (base 5) to base 10\nAnswer: -787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 10:58 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 833.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q - 4*q - 3*q + q to m*q + s and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347279719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.44 times -3?\nAnswer: -4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 2, 0, 12996 in ascending order.\nAnswer: -3, 0, 2, 5, 12996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1\/((-2)\/(96\/(-4))) and 11?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -31. Solve 3 = u*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehgh when four letters picked without replacement from {g: 1, e: 1, h: 12}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, j: 1, c: 1, y: 1}. Give prob of picking 1 c and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 48*h. Let y(u) = -1248*u + 190. Determine y(b(r)).\nAnswer: -59904*r + 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 220 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -28. Suppose -28 = 4*f - 0*f + v*a, f = -5*a - 24. What is the smallest value in -3, -2\/11, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5217*g + 5059*g + 86*g**2 - 10274*g.\nAnswer: 86*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -355*h + 385*h - 1830. Solve -44*s = -h*s - 102 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 399 = 23*y - 16*y. Suppose y*i = 59*i - 36. What is the remainder when 159 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - 4*c**2 - 2. Let d(v) = -4*v**3 - 7*v**2 - v - 4. Give -3*d(n) + 7*s(n).\nAnswer: -2*n**3 - 7*n**2 + 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -537342036, -537342035, -537342034, -537342033, -537342032?\n\"Answer: p - 537342037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/21192 and -7\/376158.\nAnswer: 1504632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*p - 5 + 112*p + 229*p + 78*p.\nAnswer: 617*p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 8:29 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/(-260) - (-37338)\/13. What is the greatest common factor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343846859 is divided by 50?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158345909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10874685 divided by -3\nAnswer: 3624895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -403.1486 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1136, 1090, 1058, 1046, 1060?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 3, -4, 5 in decreasing order.\nAnswer: 6, 5, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 0*w - 8 + 0*w**4 - 37\/3*w**3 + 0*w**6 - 10\/7*w**7 + 0*w**2 + 0*w**5. What is the third derivative of z(j) wrt j?\nAnswer: -1200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 9*b + 10. Let l = 195 - 187. Let r be i(l). What is the greatest common divisor of 58 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94699, 95570, 96439, 97306, 98171, 99034?\nAnswer: 99895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7*(-3620085)\/13491?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9562394?\nAnswer: 2, 4781197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 at most 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271 = -3*d - 256 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 300 = 5*n, 57 + 123 = 3*n - 3*t. Let y = 92 - n. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5218*g**5*o - 3*g**4*o**2 + 42459*g**2*o + 2*g*o**2 wrt g?\nAnswer: 313080*g**2*o - 72*g*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250088059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.67 + -696.33. Let f = 711 + z. Which is the nearest to 2\/7? (a) -4 (b) f (c) -0.5 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/10*(0 + -6). Suppose 4 - 1 = 3*h. Let f be 2\/(-1) - (2 + h + -1). What is the third smallest value in f, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*n, 0 = -0*c - c + n - 2. Suppose -3*m = -c + 6. Let s be (15 - 3)*m\/(-2). Which is greater: s or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7832361, -15664753, -23497145, -31329537, -39161929?\nAnswer: -46994321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 12:01 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1 + -11) - (-15 - (6 - 28))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-8))\/w)\/w*w**(-6))\/(w\/(w*w*w**(-1\/4)*w)*w**8\/w) assuming w is positive.\nAnswer: w**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1124268 and 912.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2 - z - 4 + 7 - z**2. Let s be ((-5)\/4 - -1)*-4. What is u(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1523\/712 - -21\/89. What is the common denominator of 59\/358 and z?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 12:55 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 10 = 0, 3*i - q - 3*q = -7. Let w be (80\/(-28))\/i + (-68)\/(-28). Solve w*o = -0*o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i\/(i**(-3\/2)\/i))\/i)\/((i**(4\/7)*i)\/i))\/(i\/i**7*i*i*i*((i\/i**(-5\/4))\/i)\/i*i))**(1\/8) assuming i is positive.\nAnswer: i**(131\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12587769\/184 + 68412. What is the common denominator of n and -79\/18?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/26*45*3\/(27\/3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -941*u**2\/9 - 93473*u\/3 - 298\/9.\nAnswer: -(u + 298)*(941*u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 3*t + 27. Let a be n(-4). Which is greater: 2\/253 or a?\nAnswer: 2\/253","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 10\/3*b**3 - 2\/15*b**6 - 4*b - 1\/5*b**5 + 0 + b**4 + 4*b**2. Factor c(n).\nAnswer: -4*(n - 2)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -30*l + 6050. Calculate the highest common factor of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9647 smaller than 9676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65068, 65064, 65060?\nAnswer: 65056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvnzn. What is prob of picking 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - r - 24. Suppose -20 = 4*p + 5*x, 0 = p - 3*x - 0*x - r. Suppose p = 13*f - 12*f - 20. Solve -t = 3*t + f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86441449, 86441450, 86441451?\nAnswer: 86441452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 663\/(-60) - 2\/8 and 119\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.043 - 0.103. Let p = 8 - 7.7. Sort f, p, 3 in descending order.\nAnswer: 3, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -39*a - 4322. Calculate k(-98).\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*i - 278 - 262 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n = -6. Let d = n - -3. Solve 6 = 2*w + 2*t, -w + 14 = 3*w + d*t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1215 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + p - 3 + 2)*(4 + 3 - 5)*(-13 + 9 - 14).\nAnswer: -36*p + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 9 = i, -2*t = -i - i - 4. What is the remainder when 15 is divided by (1 + -9)\/(t\/(35\/(-5)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11980014\/35 or 2?\nAnswer: 11980014\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-376)\/21 - (-42)\/(-98))*-177?\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -847 - -847.5. What is the closest to -5 in -4\/3, z, -0.07, -32?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27 + 5?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 738 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by -5*42\/245*-7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.5 * -3951.\nAnswer: -77044.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 20, 1\/4, 0, -3.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 7:28 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13925238 from -0.1.\nAnswer: -13925238.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 6\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 16*d**2 + 10*d + 3. Let y be q(-15). Let i be (5\/5 + -3)\/(2\/(-78)). Find the first derivative of -13*w**4 - y*w + i*w - 4 wrt w.\nAnswer: -52*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4974 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(((-256)\/28)\/(-16))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179280066 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-73)\/(-128) - (-3 + -6 - -10) and 83\/14.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69620984?\nAnswer: 2, 17, 271, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*sqrt(28)\/sqrt(4)*-6 - (2*sqrt(112) + 0)).\nAnswer: -4 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**1)\/i*i\/i**6)\/(i**(-7)*i**(3\/5)\/i))**8 assuming i is positive.\nAnswer: i**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 373 - 366. Let a(m) = 0 + 6 + 2*m - 9*m + u*m + 4*m. Give a(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 1\/3 (b) -0.2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 8833\/185463 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 4*y + 11. Let j(i) = i**3 - 5*i**2 + 3*i - 1. Let l be j(4). Calculate the smallest common multiple of f(l) and 11.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 907, 910, 913?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -54 - 3e?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(33))\/sqrt(11))**2 - (sqrt(3) + 4*sqrt(300)).\nAnswer: -41*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -1117991988.\nAnswer: -1117991988.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/1 + 2\/(-2). Suppose -2*c + 104 = x*n, 50 = -0*n + 2*n + 2*c. What is the second derivative of -32*p**2 - 9*p**5 + 59*p**2 + 19*p - n*p**2 wrt p?\nAnswer: -180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 6 = 10*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 18*g + 50. Calculate h(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p**2 + 12*p - 7. Let u(t) = 3*t**2 + 6*t - 3. Let c(q) = 2*d(q) - 5*u(q). Let b(h) = h + 1. Let j be b(-3). Let y be (-90)\/25 - j\/(-5). Give c(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 171077 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5 - 5)*(s + 0*s - 2*s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9151 (b) 632 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29225 is divided by 1621?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1)*(14\/4 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 5.01. Let n = 0.01 - k. Which is the smallest value? (a) 2 (b) n (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15695023 to the nearest integer?\nAnswer: 3962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009929163 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - q + 192. Let d be (-1)\/((-4)\/q)*1\/(-10). Let 3\/5*z**2 + 1\/5*z**4 - d + 4\/5*z - 4\/5*z**3 = 0. Calculate z.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 35*f + 14*f + 70*f - 21*f**2.\nAnswer: -21*f**2 + 48*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let d(y) = 377*y - 42. Let j(u) = 109*u - 10. Let s(n) = -2*d(n) + 9*j(n). Calculate r(s(l)).\nAnswer: 227*l - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/((sqrt(16)*-3 + sqrt(16))\/sqrt(8)) + 2 + 4*(sqrt(5) + -3))**2.\nAnswer: -70*sqrt(5) + 645\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3535*v - 1971*v + v**3 - 334*v**2 - 1564*v.\nAnswer: v**3 - 334*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 11:20 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 0. Suppose 0 = 4*j + 6*s - 8*s - 48, -5*j + s = -54. Solve j = -q*g + 22 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -565 - 0?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/8)*j**(-1))\/(j*(j\/(j*j*j**21))\/j*j**(-2\/27)*j*j) assuming j is positive.\nAnswer: j**(3985\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 2*h - 63, h - 25 = -3*d + 3*h. Solve -11*v + 5*v**2 + 3*v**3 - 12*v**2 + 4*v**2 - 17 + v**4 + d = 0 for v.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11775 - 8551. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**2*w + 16526*r**2 - r*w - 2*r + 2576*w + 18 with respect to r.\nAnswer: -4*r*w + 33052*r - w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g. Let l = 7 - 7. Let k(y) = -y**2 + 6*y**2 + l*y**2. Give k(h(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = -13*q + 18*q. Let n = q - -51. Let d = 2 - 4. Put n, -3, d in increasing order.\nAnswer: -3, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**3 + n**2 - 5*n + 78. What is the hundreds digit of v(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 248400 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 234637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-8 + (6 - 5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d - 184. Let j be v(27). Suppose p + 4*p - 4485 = -j*m, -m - 5 = 0. Does 123 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z - 4*z + 15*z + z - 122 - 5*z in the form w + o*z and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17906877*n**4 - 3662170*n - 2.\nAnswer: 214882524*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) - (sqrt(68) + 1 - sqrt(68))))*2 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17800601 (base 9) to base 4.\nAnswer: -202033120333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/70 - (-36)\/(-84) - -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -558*n**3 - 2*n**2 + 1. Let p be j(-1). Let m be -5*4*770\/(-924)*6\/20. Suppose -p + 12 = m*i. Is -109 != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 33 = 5. Let b = -35\/2 + l. Determine s, given that -3\/2*s + 1\/2*s**5 + s**2 - b*s**4 + s**3 + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -379, -1329, -3191, -6271, -10875?\nAnswer: -17309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1194, 1597, 2262, 3183, 4354, 5769, 7422, 9307?\n\"Answer: -j**3 + 137*j**2 - j + 1059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67118 and 33559?\nAnswer: 67118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14544 and 108?\nAnswer: 43632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 2\/27, -13, 2\/15 in decreasing order.\nAnswer: 22, 2\/15, 2\/27, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c. Let y(w) = -1. Let b(t) = -3*t - 2. Let k be 2 + (-2 - 0)*1. Let i be k + 4*4\/(-8). Let l(r) = i*y(r) + b(r). Calculate l(j(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = -2*a, y - 11 = 5*a - a. Let k = 13 - y. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 72*l + 77*l - 160 = 0, 4*t - 160 = -2*l. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*v - d, 22 = v + d + 8. Factor -v*y**3 - 31*y**3 - y - 36*y**2 - 7*y - 12*y**4.\nAnswer: -4*y*(y + 1)*(y + 2)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in 1\/2, 0.3, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (2 + 2))*(3 - 604). Let d = h + -14972\/5. Calculate the common denominator of d and 49\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 47615, 95245, 142881, 190523, 238171, 285825, 333485?\n\"Answer: 3*o**2 + 47621*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*-58.4655.\nAnswer: -2514.0165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5680*v**2 - 32*v - 48. Let w(j) = -1136*j**2 + 6*j + 9. Let u(s) = -3*b(s) - 16*w(s). Let x(q) = -q. What is x(u(h))?\nAnswer: -1136*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 224dbc - -6?\nAnswer: 224dc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -28. Suppose g*d + 5*d - 3230 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/6125631?\nAnswer: 4\/6125631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9038540 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -1, -2, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/218 and 59\/13130.\nAnswer: 1431170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 18 (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 + 0 - (-90 + 44 + 31)) + 132?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - x)*(2*x - 3*x + 3*x) + 8*x + 9*x**2 - 8*x - 3*x**2 - x**2 + 2*x**2 + (-3 + 2*x + 3)*(x + x + 0*x) as p*x + y + k*x**2 and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/11, -1, -13, 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 5:34 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -182 at least -184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.71839 decades in millennia?\nAnswer: 0.3671839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14*((-8)\/28)\/1. Is 12 a factor of (-178)\/(-4)*2 + n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*m - 26. Let u(l) = -l - 16. Let h be u(m). What is the nearest to 1 in -3, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533 - 1024 = 315*m + 1399 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-3) + ((60\/(-9))\/(-5))\/(130\/195). Let m = -4.9 - 0.1. Which is the nearest to -0.2? (a) -3\/2 (b) m (c) 2\/5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3.4. Let q = v + 0.5. Let d be 56\/66 - 6\/33. Which is the nearest to d? (a) 0.2 (b) q (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1295, -5072, -11379, -20222, -31607, -45540, -62027?\n\"Answer: -k**3 - 1259*k**2 + 7*k - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 5*v**2 - v + 7. Let o = 217 + -214. Let b be 0 + 2 + (2 - 4). Suppose b*p = -o*p + 15. Give u(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 65 = -29*f. Let s = 59 + f. Suppose 882 = -s*v + 52*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306218 is divided by 5212?\nAnswer: 3922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1093 is divided by 287?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) -1 (b) 2 (c) -0.1 (d) -0.07 (e) 0.014\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 194973814 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: What is prob of sequence asv when three letters picked without replacement from {a: 6, v: 2, s: 2, c: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12849650 by 7.\nAnswer: 12849650\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 11:42 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*y, 7*c + 4*c - 2*c - 14*c + 3*y = 92 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4*-52\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 705.5502 decades to years.\nAnswer: 7055.502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(-2*c - c - c) - 3*c - c + c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)*3 - sqrt(132)) + sqrt(132) + sqrt(132) - sqrt(33))\/(sqrt(60)\/sqrt(5)))**2*-5 + 5.\nAnswer: -2675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 480.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 7. Let h be q(-5). What is the nearest to h in 2, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1231 divide 80399819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 31. Suppose 3*r - q = 13. What is the greatest common factor of 42 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*((sqrt(343)*1)**2 + sqrt(343)).\nAnswer: 21*sqrt(7) + 1032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1820818 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -7*p**3\/3 + 16*p**2 + 2241*p. Give v(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -176.39 - -7.89. Round y to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*c - 77 = x, -155 = 5*x - 5*c. Let r(m) = -m**2 - 32*m + 75. Let j be r(x). Let u(s) = -s - 1. Let a be u(-3). Is j greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/81 and 62\/99?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4, 2*z + 3*z - 9 = -2*p. Suppose -2*v = -3*v + p. Suppose 0 = -3*m - v*m. Which is smaller: 2\/33 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9547270 and 2864181.\nAnswer: 28641810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -800\/9 - -89. Let p = 4.9 + -29.9. Let x = p - -25.1. What is the nearest to x in b, -4, -1\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + j = -5445, 3*j - 1089 = -b - 2*j. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 900 = 4*i + 2*v, 0 = 3*v + 12. Let s = -203 + i. Calculate the remainder when 83 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/4566518 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 311 = 5*q, 2*q + 130 = 4*q + 4*z. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, 41, 74, 123, 194, 293?\n\"Answer: v**3 - v**2 + 19*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2113222 - 11?\nAnswer: 2113211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-4)\/(-18) - 8\/(-36).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-728)\/(-117) + 6\/(-1)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 + 48432*i\/7 - 293207328\/7.\nAnswer: -2*(i - 12108)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4921 is divided by 4901.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 1, i: 2, r: 2}. What is prob of sequence rx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -1996a?\nAnswer: 19965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*649\/16520*-20.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -619c (base 13) to base 10.\nAnswer: -13480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**5\/120 + 7*l**4\/24 + l**3\/3 - l. Let m(i) be the second derivative of d(i). Calculate m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/49)\/1*(-15)\/21*1386\/(-1650).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 261 + -266. Let o = 1.3 + -3.3. Put o, -0.08, 3, k in decreasing order.\nAnswer: 3, -0.08, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132860394?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 4. Let o be c(-10). Suppose -o = -4*u + 110. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-12 - -6) - (3 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrfrffffffrfffrfff. What is prob of picking 2 f?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, 0.1, -2.9, 0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3 + 117*g**2 + 222*g = 0. Calculate g.\nAnswer: -37, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110111110 - 111?\nAnswer: 1001110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w - 19*w = k, 2*w - 4*k = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085 greater than 1085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 7*x - 2*x - 27, -5*x = -2*p - 7. Suppose -x*r + 8*r = 240. Does 24 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.2629251 nanograms?\nAnswer: 0.0002629251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*u + 8, 2*s - 2*u = 3*u + 13. What is the smallest common multiple of 18 and s?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -204021\/22 + 9269. Let p be (-2)\/(-6) - (149326\/(-40722) - -4). Let j = -576883\/40722 - p. Find the common denominator of j and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -144. Calculate the highest common divisor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 67 = -o + 73, -5*c = 20. Let n = -0.19 - -8.19. Let q = n + -8.3. What is the third biggest value in q, 0, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*c**2 - 204*c + 56.\nAnswer: 4*(c - 7)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**3 - 18*l**2 + 253*l + 270 = 0.\nAnswer: -27, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9724, 9720, 9712, 9694, 9660, 9604?\n\"Answer: -s**3 + 4*s**2 - 9*s + 9730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2746613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.6536 + -3.653616631. What is h rounded to 7 decimal places?\nAnswer: -0.0000166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*v + 3396 = 3*v, 4*m = v + 3396. Calculate the common denominator of (-9)\/(-27) - (-287)\/30 and m\/(-18) - (-4)\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from vwpnwmwwnvtwv?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 + 85. Let w be h\/(-144) + 11\/9. Sort 2, -4, w in decreasing order.\nAnswer: 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/444 and 131\/60.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-32)*(-8)\/(-6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1891 - -1856. Is -32 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 5 + 171\/76 + 25\/(-20). Sort 18, -1, k, -3.\nAnswer: -3, -1, k, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*t = 52, -t + 3*t = z. Let r(p) = -z*p**3 + 5*p**3 + 2*p**3. Let i(y) = y**3 + y**2. Determine -i(c) - 3*r(c).\nAnswer: 2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 306*u**3 + 611*u**3 + 2*u**2 - 303*u**3 + 28 to g*u + h*u**3 + s + z*u**2 and give s.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5*n + 18 = 0, w + 3*w - n = -8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52886548?\nAnswer: 2, 11, 13, 92459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**29*r*r*r*r)\/r)\/(r**(-27)*r)*r\/r**(2\/25)*r**23)**25 assuming r is positive.\nAnswer: r**2073","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*1 + (-6)\/2. Let k = n + 12. Find v, given that 0 + 0*v**2 - 1\/2*v**4 + 0*v**3 + 0*v + 1\/2*v**k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.277 + 0.077. Let v = -77 + 76.963. Let h = v - -4.037. Which is the second biggest value? (a) h (b) p (c) 0 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -227791431?\nAnswer: -1\/227791431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 1360689?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 divided by 110?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 10 + 16*y - 4 in the form q + s*y and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 2*f**2 + 3*f - 4. Let j be c(-3). Let u be 14\/j - (-4)\/(-8). Let d = u - 1. Sort d, 0, 5 in ascending order.\nAnswer: d, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 0.2, 2\/183?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 5:33 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-1020)\/141) + (-1)\/5. Which is greater: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1916536546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600 divided by -22757.\nAnswer: -600\/22757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(90)\/sqrt(2))\/((sqrt(9) + sqrt(18)\/sqrt(2))*-2)*5*2)**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 9 = 0, 2*l = 4*l - 2*d - 14. Suppose h + 3*q - 11 - 9 = 0, l*h - 5 = 3*q. What is the second derivative of 6*w + 12*w**5 + 7*w**5 - 13*w**h wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*w + 6*w - w - 4*w + (3 - 3 + 2)*(1 + 2*w - 1))*(-105 + 9*w**3 + 105 - 44*w**4).\nAnswer: -308*w**5 + 63*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5098, -3 in descending order.\nAnswer: -2, -3, -5098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (-91)\/21)*2\/20\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*n + 3*q, -3*n - 2*q = q - 9. Let l = 30 - 32. Let k be (l - -12)*1\/(1 - n). Solve 0 = u - 4*b - 23, -k*u = 7*b - 2*b + 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.4, -4, -4\/5, 0.09 in descending order.\nAnswer: 0.4, 0.09, -0.3, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -26, -28, -30?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -10. Let c(k) = 16*k**3 + k**2 + 2*k + 1. Determine c(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 8:27 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 2*p - 8, 193*p - 188*p - 2*j - 11 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -9. Suppose -51 = -j*k - 11. Suppose -4*z - 5*a = -10*a - 41, -30 = -3*z + 4*a. Calculate the remainder when z is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 20*w - 27 = -2*c, 0 = 4*c - 2*w - 62. Solve -5*p + 9*p - 5*b + c = 0, -2*b + 6 = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 306 = -3*n, -6*z = -4*n - z - 407. Find the common denominator of 1 - 7\/(n\/(-125)) and (((-3535)\/(-20))\/7)\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*z + b - 44, 3*z = -5*b + 2. What is the smallest common multiple of z and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 8. Let r be o(6). Suppose -r = 2*g, p + 4*g + 1 = -2. Solve p = 3*m - 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -74*b**2 - 257*b - 55. Give d(-4).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 43, 22, -9, -50, -101, -162?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -568.758 + 577.4. Let o = y + -0.042. Let f = -16.9 + o. Round f to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -12*z**3 - 52*z**2 - 10*z + 3000. Let t(k) = 4*k**3 + 15*k**2 + 3*k - 1000. Let s(q) = 3*b(q) + 10*t(q). What is the derivative of s(j) wrt j?\nAnswer: 12*j**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4fb4 - 2?\nAnswer: -4fb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 8*y**2 + 5. Let c be d(8). Solve 10*g - 5 = c*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28*63\/5880)\/((-183)\/(-14030)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 + -96. Let z(r) = 4*r**2 + 13 - h + 3*r**3 - 2*r - 9. Let o(n) = -10*n**3 - 13*n**2 + 7*n + 7. Let m = 0 + -2. Determine m*o(f) - 7*z(f).\nAnswer: -f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 55?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 5*d + 3. Let t be v(-5). Suppose 0*z = t*z + 9. Sort z, -5, -1 in increasing order.\nAnswer: -5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72234353 to the nearest integer?\nAnswer: 8499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -4*p - 28. Solve -4*x = p*j + 11 + 5, 3*j = -2*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from cccccckkcckkcc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55604 * -0.02.\nAnswer: 1112.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 4, 187, -11, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 37 + -24 - 3*4. Let q = -2\/21 - 13\/84. Sort q, 6, m, 5.\nAnswer: q, m, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -51*o + 10*x - 7*x - 31 - 116, -3*x = -2*o + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1525 divide 835244876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 4 = -13. Sort l, 3, 4 in increasing order.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3)*(2*u**2 - u**2 + u**2)*(11*u - 49*u - 47*u) to the form a*u + x + l*u**3 + f*u**2 and give l.\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -334 and -52?\nAnswer: 17368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 8:06 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-76)\/(-114) - 8\/((-96)\/851308)?\nAnswer: 61, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d = 5*r + 10, 3*r - 3*d + 6 = 0. Let z be r\/8 + 21\/(-12). Let l = -191\/3 + 3241\/51. Which is the third smallest value? (a) z (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -10. Let a be 21\/105 + (-2828)\/(-10) + 1. Let z = a + -288. Which is smaller: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.088, 10, 77, -10, -5\/6 in ascending order.\nAnswer: -10, -5\/6, 0.088, 1\/4, 10, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2.94. Let u = h + 0.94. What is the third biggest value in u, 1\/10, 4\/7?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 29*w + 82 - 21 - 32 - 29.\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*g + 338988, -3*w - 3*g = 2*g + 1016985. Round w to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15754\/11 - -69409\/55. Let k = 171 + m. Which is the third biggest value? (a) k (b) 0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 1\/7*v**3 + 0 - 9\/7*v**2 = 0. What is v?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3\/(-22)*(-66)\/(-99)*1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 1\/173199572?\nAnswer: 1\/173199572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44.2 + 44.3. Let g = 3.3 + 0.7. Which is the nearest to t? (a) 3\/5 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*z + 5*b, 4*z - 3 - 40 = -3*b. Calculate the remainder when z is divided by (-16)\/(-28) + (-6)\/(-63)*36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 9:03 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51816786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*f + 2*q - 30, f - 4*q + 15 = 0. Suppose 0 = -f*u + 849 - 139. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10358855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v + 36. Let m be k(-20). Calculate the common denominator of -25\/6 and 14\/28 - (-206)\/m.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1209*t - 1261*t + 56784. Calculate the lowest common multiple of 468 and t.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.62961 + -0.22961. What is the third biggest value in l, 1, 3.4, -0.1, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - (-48 + 75 - 28).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 + 5*a**3 - 5*a**3 - a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 303*t**2 - 6*t + 2. What are the prime factors of f(1)?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - c = 16*k + 201, 3*c = 5*k - 327. Solve 57*g = k*g + 96 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 85.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/12490 and -65\/2?\nAnswer: 12490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 3782*s + 78. Give b(0).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*f**5 + 80*f**3 + 11*f + 49?\nAnswer: 140*f**3 + 480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25924 + 5444. Round k to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20980, -171379, -579622, -1374631, -2685328?\nAnswer: -4640635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6553 + 6553. What is the third biggest value in -46, -0.2, 2\/9, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 + 117*n + 288. Calculate r(-36).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/9*6\/4. Suppose -14 = -y*a + 2*j + 4, 15 = -3*j. Suppose z + 3*z = -3*u + 16, 2*z - 8 = u. Solve a*t = -z - 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0 + 0 - 3 - 2 - 1 + 1 + 2 + 0 + 3 - 2 + (0 - 4 + 3)*(-1 - 1 + 3) - 4 + 6 - 3)*(-151*n + 151*n - 4*n**2)*(2*n**2 + n**2 - 7*n**2) + 2 - 2 - n**4.\nAnswer: -49*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o + 0*o - o)*(2*o - o + 0*o) + o**2 - 5*o**2 + o**2 + 0*o**2 - 2*o**2 + 0*o**2 to the form y*o**2 + m + x*o and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a week in minutes?\nAnswer: 5670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 - 149. Let p(f) = 5*f + 173. Give p(y(c)).\nAnswer: -15*c**2 - 572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(500)*4 + (sqrt(500) - (2 + sqrt(500)*2)**2))*1 + (-3*((sqrt(500) - 2*sqrt(500)) + 3) + 5)**2.\nAnswer: -350*sqrt(5) + 2512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/((-11)\/132).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 4. Let n be q(6). Let d = 0 - n. Let j be (12\/d)\/(2\/12). Put 4, j, 1 in decreasing order.\nAnswer: 4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12674766 divided by 86.\nAnswer: -147381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 17308*w**3 - 76 - 17325*w**3 + 17.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 296 - 164. Suppose 0 = 3*g - 9, -14*q = -15*q - 4*g + h. What is the highest common divisor of 24 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -899*l = 270*l - 9352 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107*k - 102*k + 53*g + 83, 5*g - 19 = 4*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -884503 or -884554?\nAnswer: -884554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5946587 or -5946588?\nAnswer: -5946588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20422 + 20426. Which is the closest to 0? (a) -0.2 (b) 1 (c) q (d) 5\/71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*l**2*s**2 + 14*l**2*s - 2*s wrt s.\nAnswer: 90*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 2*j. Let l be (4 + (-9)\/j)*2. Suppose l*o + 4288 = 9*o - 3*s, -3*o + 3*s = -3219. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/4*((-92)\/(-32) - 8) and 37\/3540.\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 24 = -6. Let v = o - -8. Suppose v*i = 20 + 16. What is the greatest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, j: 3, q: 1, v: 3, b: 2, a: 2}. Give prob of sequence bv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -586 + 583.924. Let p = 0.076 + s. Which is the fourth smallest value? (a) -4 (b) -0.1 (c) p (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 885497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 18. Suppose 2*d = -4*v - 2*d + z, -d = -2*v + 10. Suppose 20 = 4*c + o, o - 48 = -5*c - 22. Do v and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f - 43. Let n be m(-8). Suppose w - 3*b - 43 = 0, w + b - n - 6 = 0. Calculate the least common multiple of w and 11.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5162 less than -53642?\nAnswer: -58804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3205333 (base 8) to base 5\nAnswer: -204322442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4855 + -369305.8?\nAnswer: -364450.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -0.3. Let o = l + 0.1. Let a = -4829\/14433 + 6\/4811. What is the nearest to a in o, -0.4, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -6 (c) -6\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*z + 66*z + 3548 = 0. Is 27 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1193138 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3400 and 5525?\nAnswer: 44200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30876\/(-336) + ((-6138)\/616)\/93?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r - 13. Let a(i) = -3*i - 12. Let s(x) = -3*a(x) + 4*u(x). Let n be s(11). Is 8 + n - -1*248 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 2:18 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.6, 1\/9, -1\/4?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twelve sevenths of a week?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105988*l + 105563*l + 6800 = 0 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/3)\/(9\/(-135)). Solve 2*d + 5 = -w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5, -103, 16, -3 in descending order.\nAnswer: 16, -0.5, -3, -5, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -42. Calculate the common denominator of 105\/(-81) - 7\/a and 35\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3490 + -3487. Which is the closest to 14? (a) x (b) 1 (c) -0.3 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*15\/9*7\/112*-36?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*o = 16, -t - 4*o - 8 = t. What is the smallest value in -3, t, 4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2 + 25. Solve v - 3*d + 12 = 0, 2*d - s = -v + 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2003, -2002, -2001, -2000, -1999, -1998?\nAnswer: -1997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 632*g = 633*g. Let u(f) be the second derivative of 5\/3*f**3 + g + 8*f**2 - 27*f. Differentiate u(b) wrt b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 65*v - 5633. Let q be a(87). Solve 157*o - 159*o + 2*k + 16 = 0, -2*k - q = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074.4 take away 1?\nAnswer: 1073.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 45.178586 and 72104.\nAnswer: 72149.178586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 5*l**2 + 2*l + 10. Let u be y(-5). Solve 4*i - 20 = -u*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 12*l**2 + 2079*l + 519 = 0.\nAnswer: -173, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 7:34 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(20)\/(sqrt(4)*2*-1).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n + 1. Let y be s(0). Let t = 0.7 - -0.3. Let p be (-14)\/220*(-68)\/(-119). What is the closest to t in p, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -20, -21, -2, 2, -15 in increasing order.\nAnswer: -21, -20, -15, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-2) - -7)\/(212\/4). Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(20\/9)*n)*n*(n*n*n**(-2\/83)\/n*n*n)\/n*n assuming n is positive.\nAnswer: n**(1310\/747)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 6804893647756\nAnswer: 6804893647756.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/17 - 13612*b\/17.\nAnswer: 2*b*(b - 6806)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (4 - -1 - -39). Let d = h + 88. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1560 and 60?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 42481*a + 84958.\nAnswer: (a + 2)*(a + 42479)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 2.88?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 = -w, -g + 4*g + 2*w = 15. Suppose -4*d = -4*s - 12, -4*d + 4*s = g*s - 7. Suppose t = d*j + 511, -j - 243 = -t + 268. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 - 30*t + 87. Let h be d(-17). Suppose -8 = 4*l - 20. Solve 0 = -3*u - l*j - h + 4, 4*u + 15 = j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4711454*i**4 - 4195*i + 1533*i + 2182*i**5 - 4711454*i**4 wrt i.\nAnswer: 43640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/3574820 and 49\/376.\nAnswer: 7149640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/3)\/(6\/(-9)). Is y <= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -45862054?\nAnswer: -45862048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**3 + 7*t**2 + 15*t - 3. What is the hundreds digit of j(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**2 + 1785*p - 3582 = 0. Calculate p.\nAnswer: -597, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -135 - -341. Let x = c + -125. What is the highest common divisor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - -66. Calculate the remainder when r is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4170\/(-14) - 564\/(-658). Is n less than or equal to -298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 - 49*f - 51. Determine v(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 738, 2675, 5896, 10395, 16166, 23203?\nAnswer: 31500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((4 + sqrt(1216))*-6 - ((-3 + sqrt(1216) + sqrt(1216))*-6 + sqrt(1216))))**2.\nAnswer: -3040*sqrt(19) + 31844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 279785 - 31378. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/43, -1\/3, -16, 445, -3\/7 in decreasing order.\nAnswer: 445, 2\/43, -1\/3, -3\/7, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 902 a factor of 58140213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0521751 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - j**2 + j - 1. Let g(n) = -10 + 3*n + 4*n + 8*n**3 + 3*n - 10*n**2. Let y be ((-4)\/2 + -3)*(-3)\/15. What is y*g(f) - 10*p(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1407 - 781. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b70aba - 0?\nAnswer: -b70aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 0.1 (c) 0.109 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 709200 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/637 and 41\/2808.\nAnswer: 137592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -714 + 1093. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 7*j + 357. Suppose -2*c + 5*r + 16 = 2*r, -24 = -4*c + 4*r. What is the third derivative of 22*d**3 - 52*d**2 - j*d**2 + 94*d**c wrt d?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 5*l**2 + 7*l + 2. Determine y(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -980 divided by -70\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Suppose -178 = 3*z + z + k, 3*z + y*k = -129. Does 5 divide (-2 + z\/(-6))*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -389*l**3 + l**2 - 192.\nAnswer: -1167*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19656 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + ((sqrt(1088) + -1 - sqrt(1088))*4)**2 + 1*(2 + sqrt(1088))**2).\nAnswer: 96*sqrt(17) + 3330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9955514*b*v - 1223784*v wrt b.\nAnswer: -9955514*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 6941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4276589953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 221826401 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*sqrt(70)*-1 + -2*sqrt(70)*1))\/((sqrt(1000) - (sqrt(1000) + (-1*sqrt(1000) - sqrt(1000))))*-2*-1) + 3.\nAnswer: -3*sqrt(7)\/20 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 4:23 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 12:23 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128969 = 573*n - 123239 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 7*o - 5*o = 8, o = 2. Solve -3*q = -x*q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/15)\/(78\/(-9))*5?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1140 + 3224. Let t = -969 + c. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 38 = 3*a, -7*g = -56*a + 4*g - 18*g + 3*g + 680 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**3 - 62*h**2 + 54*h - 293. What is v(20)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 27 = -3*h. Let v = h - -22. Which is smaller: -4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 183, 270?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6737, -6738, -6739, -6740, -6741?\nAnswer: -6742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1458712 divided by -3.\nAnswer: -1458712\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 - 4*l**3 + 2*l**3 + 7*l**2 + l**3 - 2 as x*l**2 + m + t*l + k*l**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1806217 + -45173199\nAnswer: -46979416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1567, -3131, -4695, -6259, -7823?\n\"Answer: -1564*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 o when three letters picked without replacement from {x: 2, o: 4, b: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = j + 9 - 6, 38*j - 36*j - 3*r - 5 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3139087g in kilograms?\nAnswer: 0.0003139087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10356168\/(-376)*(-1 - -2*7\/12). Which is greater: v or -4592?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 4b8?\nAnswer: -4b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 4592066 and -347.\nAnswer: 4591719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-238)\/(-140) - 2\/10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 + -80. Suppose -4*n + 22 = 2*t, -3*t = -p*n - 6*t + 25. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 4, 6, 2, -4 in increasing order.\nAnswer: -111, -4, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -129 + 124. Is 1\/((30\/(-7206))\/y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -4)*6 + sqrt(5) + (sqrt(500) - (-4 + sqrt(500)))**2 + sqrt(500).\nAnswer: -8 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*m + 45*m + 415 + 2573 = 0 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137 - -197. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5 = 3*x + 2, -5*j + 5*x = -5. Let o be 2*4 - (9 + -7). Let p(l) = -2*l**2 + 15*l - 8. Calculate the smallest common multiple of j and p(o).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 851817, 1703603, 2555359, 3407079, 4258757?\nAnswer: 5110387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29201?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*j**4 - 64*j**2 + j**4 + 4*j**5 + 47 - 20 + 37 - 16*j**3.\nAnswer: 4*(j - 2)*(j - 1)*(j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3090.91 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 5*b.\nAnswer: 5*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -40. Let g = -20.3 - i. Let t = g - -0.4. Are t and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 179 = -194 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10346728 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: Calculate the remainder when 315 is divided by 104.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 259194 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (13 - (7 + 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 1. Let a(h) = h + 135. Let n(z) = -2*z - 313. Let s(u) = 7*a(u) + 3*n(u). What is -5*m(f) - s(f)?\nAnswer: -6*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbmia. What is prob of sequence imm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130 is divided by 1037?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 290096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z = 45. Is 34*z - (-2 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -61*k**2 - 5481*k + 6496. Give l(-91).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/126)\/(15\/(-105)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3134 and 380314034.\nAnswer: 3134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + (136 - 121)\/(-5 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*f - 58, 0*x - 5*f + 8 = -x. Let d = -5 - -3. What is the least common multiple of x and (12\/d)\/(3\/(-4))?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -59*d + 398. What is the hundreds digit of s(-55)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 0 + 0*g + 11*g**2 - 1\/24*g**4 - 1\/6*g**3. Let x = -6 - -5. Let r(w) = -2*w**2 + 6*w + 3. Give x*r(d) - 5*o(d).\nAnswer: 2*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k - 112. Let p(g) = -2*g - 56. Calculate -5*p(i) + 2*y(i).\nAnswer: -2*i + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2915990?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -213 (b) 1 (c) -5\/101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 24. Let b(t) = -5*t + p*t**2 - 12*t**2 + 13*t + 8. What is b(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4 = -2*b. Let m = b - -27. Is m a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196488294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 213*f*w**3 - 97141*f + 105*w**3 wrt w?\nAnswer: 639*f*w**2 + 315*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2386 and 29183166?\nAnswer: 2386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p. Let f(s) = -2*s**2 + 5*s. Let q(r) = -9*r**2 + 21*r. Let k(w) = 21*f(w) - 5*q(w). Give k(c(o)).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -5881.\nAnswer: -2\/5881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/3 + 2257*n**3\/3 - 15694*n**2\/3 - 41984*n - 36000 = 0 for n.\nAnswer: -4, -1, 12, 2250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and ((-6)\/5)\/(((-9)\/15)\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -31. Factor 2\/11*y**a - 4\/11 + 0*y**2 - 6\/11*y.\nAnswer: 2*(y - 2)*(y + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - l = 7, -7*z - 119*l - 96 = -123*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**4 + 6444378*r**3 + r**2 - 6444378*r = 0.\nAnswer: -1, 0, 1, 6444378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 56 = -3*l + 8*l, 0 = -4*t + 3*l - 36. Suppose 3*o = -g + 12, -3*o + 13 = -o - g. What is the remainder when o is divided by t\/(-16)*(4 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1202 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - 41 - -40 - -14.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 1235\nAnswer: -6175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(726) - (sqrt(726) + sqrt(726) + sqrt(726)*2 + sqrt(726)))\/sqrt(2) + ((sqrt(27)\/sqrt(3) - sqrt(9))*3)\/sqrt(3).\nAnswer: -44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285570 and 285.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -28. Let y = 4 - m. Which is greater: y or -20?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26, -62, -100, -140, -182, -226?\n\"Answer: -q**2 - 33*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 3. Let s = -7.4 + 1.4. Let u = 5 + s. Which is greater: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, q: 1, r: 2, i: 1, t: 2}. Give prob of sequence siqs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3*p - 4*p**2)*(8 - 8 + 6*p).\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15862891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 740 and 2740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 37*n + 74. Let j be b(-35). Let q = -36 + 52. Solve 5*s - 2*u + q = 0, s + j*u + 24 = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46197, -46192, -46185, -46176, -46165, -46152?\nAnswer: -46137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141 - 145 - (-6 + 1 + -2 + -5 + 54).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8522*q**4 + 4*q - 4*q + q**3 + 120*q**2 + 8524*q**4 as v*q + k*q**3 + a*q**2 + c*q**4 + l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 489 and 10174623?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9255429 nanoseconds in hours?\nAnswer: 0.00000000000025709525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x**2 + 4*x - 10. Let k be n(3). Suppose 2*r + 5*o - k = 0, -r = -0*r + 2*o - 35. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 194796.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlvlllltlbll. Give prob of sequence btv.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -29*g**2 + 8*g + 5. Let r(k) = -401462 + 0*k + 401463 + k. Determine -l(v) + 6*r(v).\nAnswer: 29*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -2. Let p be j\/21*2*-7. Solve -12 = 4*f + c + p, -5*f - 3*c = 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72.9 - -72.6. Which is the nearest to 8? (a) 31 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v - 2*v**2 - 17*v + v.\nAnswer: -2*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20634)\/(-724)*(-12)\/38.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19811*a + 9 = -19820*a. Suppose 5*u = -7319 + 1209. Let c = 9761\/8 + u. Is c greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 12*w - 91. Let r(o) = -7*o + 44. Calculate -5*r(h) - 2*t(h).\nAnswer: 11*h - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887018578?\nAnswer: 2, 443509289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7975 by -11.\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -5\/3 (c) -4\/5 (d) 11 (e) 13 (f) -11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -7. Let z = 28 - q. Calculate the smallest common multiple of 24 and z.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from jjnzt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 92 + 161*q + 293*q - 49 - 130*q.\nAnswer: 324*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 6*c**2 + 8*c - 3. Let j = 23 - 16. What is the units digit of y(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 242 + -261. What is y rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 372, 751, 1138, 1539, 1960, 2407, 2886?\n\"Answer: s**3 - 2*s**2 + 378*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -0.17, 6, -2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by -6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from {t: 2, v: 3, k: 4, f: 6}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 11*u + 5. Let c be w(8). Let g = -21 + c. What is the highest common divisor of g and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1564 + -1563.5. Are -1\/524 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + 4. Let s = 87 + c. What is the remainder when 72 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 19. Let h be o(14). Suppose n + 73965 = 2*y - 36030, 275025 = 5*y + h*n. Round y to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (-3 + sqrt(2736) + 5 - sqrt(2736))) + 3 + -1)**2*4.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 906 is divided by 120?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**4 + 2*w**3\/3 + w**2\/2 - 10. Let u be c(-4). Suppose 5*t = -79 + u. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z - 219. Let q(k) = -2*k - 2. Give c(y) + 3*q(y).\nAnswer: y - 225","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-313)\/(-3) - 0 - (14192\/(-18627) + 8\/84)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(8 + -4)*0. Calculate the common denominator of 39\/2 and (-133 + r)*2\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9405*n**6 - 7249*n**2 wrt n?\nAnswer: -1128600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-5 - (0 - -2)). Sort 0.4, b, 4.\nAnswer: b, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/6 - 6181*v**2\/6 + 8125517*v\/6 - 2706445\/2 = 0. Calculate v.\nAnswer: -7295, 1, 1113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606*q + 1208*q - 605*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**5 - 31045*y**4 - 45157615*y**3 + 9550572085*y**2 - 18965547120*y + 9460163700 = 0.\nAnswer: -3198, 1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 2. Let t(u) = 1. Let j(w) = s(w) - 6*t(w). Let b be j(8). Suppose -b*y + 7*y = 195. Calculate the remainder when y is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxoxo. What is prob of sequence xxoo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(341\/(-2))*22\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1891.1 * -1\nAnswer: 1891.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*l*o**3*y**3 - 10*l*o**3*y**2 - 15*l*o**2*y**2 + 35162*l*y**3 + 2*l*y**2 + 84*l + 2*o**3*y**2 - o*y**3 + o*y**2 wrt y?\nAnswer: -42*l*o**3 + 210972*l - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-6)*-2*0. Let z be (-2)\/((o - 4) + 6). Let b be -16 + 34 - (-3)\/z. Is 15 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 7*p + 9. Let n(o) = -o**2 - 7*o + 10. Let m(w) = 3*n(w) - 2*v(w). List the prime factors of m(8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/2)\/(-2) + 3. Let g(z) = -3*z**2 - 61*z + 14. Let d be g(-20). Let v = d - w. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 6*p - 375084, -3*t + 737616 = p - 387568. Round t to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2975 is divided by 223.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.59 from 0.0155.\nAnswer: -1.5745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxrxxrxxxnrn. What is prob of picking 2 r?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, o: 6}. Give prob of sequence oo.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g**5\/7 - 418*g**4\/7 + 298*g**3 + 9958*g**2\/7 - 4974*g\/7 - 12420\/7 = 0 for g.\nAnswer: -3, -1, 5\/4, 9, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.811937 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxaxaxxcnakass. What is prob of sequence sa?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(8\/9)*10. Suppose -i - u = 2*i. Let k be (-1060000)\/i*(-30)\/(-2). Round k to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzooollz. What is prob of picking 3 o and 1 z?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l + 6. Suppose 4*v + 2*a = 50, 4*v + 5*a + 28 = 87. Let w be -1*(-5)\/((-10)\/8). Let x(z) = 5*z + 17. What is v*m(r) + w*x(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y + 4*y = 24 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146792292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - -1)*1209057\/153. Is (-315)\/(-525) - g\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -18. Suppose -11*q + 468 = -f*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3370224490 to the nearest 100000.\nAnswer: 3370200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 - (-10)\/4. Let h be (4\/(-3))\/((-6)\/9). Suppose -9 = h*i - s*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55.92223322003 + -0.07776608997. Let u = y - -56. What is u rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5 = 0, -2*v + 2*s = 5*s - 19 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22 (b) 1\/4 (c) -0.05 (d) -21 (e) 0 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.1837824 months?\nAnswer: 0.0000153152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 1318607775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -16*s**2 + 5*s + 10. Let h(y) = -y**2 - y - 2. Let v(u) = -5*h(u) - r(u). Let t(n) = 2*n. Calculate t(v(i)).\nAnswer: 42*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 5616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(9\/4))**(-1\/16)*o**(-2\/9)*o**(3\/2) assuming o is positive.\nAnswer: o**(655\/576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 22 - 32 = 0. Suppose -4*r = c - t*c - 40, -2*r = 3*c. Solve x - 3 = -k, -k - r = -5*k - 2*x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 765*d + 27677 + 11598 = 4850 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27559384.\nAnswer: 2, 89, 38707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3625425 divided by -1965?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/155)\/(38\/28). Let c = r + 73541\/3534. Find the common denominator of 47\/24 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146 - 143. Suppose 0 = t - 3, 0*j - u*j + 2*t = -69. Calculate the remainder when 120 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*a + 520181 = 148181. Is a a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/((-63)\/(-240)) - 0)*9. Let m = 809 - k. What are the prime factors of m?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*q + 58, -4*d + 4*q + q - 42 = 0. Suppose 40 = -0*v - 5*v. Let l = d - v. Let b(t) = -t**3 - 6*t**2 - 6*t - 6. Determine b(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/158 and 35\/16.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzhhzzxzzhzzz. Give prob of sequence hh.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -44, -89, -138, -191, -248, -309?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**4\/6 - 8*c**2 - 28*c. Let v(p) = p - 7. Let s(r) = r - 6. Let i(t) = -7*s(t) + 6*v(t). Determine i(m(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 4*q + 131*q**2.\nAnswer: 131*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 69553339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -19 - 57\/9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h - 1. Let z be s(-1). Let m be ((-2)\/z)\/(2\/(-3)). Calculate the remainder when 26 is divided by (1 + 1)*(6 - m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91678792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**7\/21 - c**6\/10 + c**5\/10 - 2*c. Factor l(f).\nAnswer: -f**3*(f + 2)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 3841?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-45) + 2\/5. Let j = -75.5 + 4.5. Let v = -66 - j. What is the smallest value in s, v, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.3 - 0.7. Let i = 38 + r. Which is the smallest value? (a) -1\/2 (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**2 - 2*f**2 - 11*f**2 + 3*f**2 in the form q*f + a*f**2 + v and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27692 is divided by 100.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09772 and 0.4?\nAnswer: 0.039088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/42 and -39\/48902?\nAnswer: 146706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 29 times -13\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3762357*6.\nAnswer: 22574142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0772 + 0.0772. Let h = 2.5 - 2.46. Which is the nearest to s? (a) -2\/5 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert c364b8 (base 14) to base 4.\nAnswer: 121020002302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 79*o + 2203. Determine l(-28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25103190 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1805 + -17.2095. Let o = y + 17.4. Sort 3, -0.3, o, 0 in decreasing order.\nAnswer: 3, o, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (357\/35)\/(2\/(-10)). Let x = m - -62. Solve 1 - x = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 + 277. Calculate the remainder when n is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -340*a + 534*a + 834*a + (-1 + 1 + 2)*(-3*a + a + a) + 12*a - 14 + 14.\nAnswer: 1038*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = -6*u + 39 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000346717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4213\/172569 + -1\/5658. Let m = 283\/1586 + c. Let k = 87.9 + -87.6. Put m, -2\/7, k in decreasing order.\nAnswer: k, m, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 1. Let c(v) = -25*v**2 - 2*v - 9. Let x(i) = 102*i**2 + 9*i + 39. Let y(a) = -9*c(a) - 2*x(a). What is 4*b(j) + y(j)?\nAnswer: 17*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uda when three letters picked without replacement from {s: 2, b: 1, d: 1, j: 1, a: 1, u: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - 0\/(-2) - -2. Suppose a + a - r = 0. What is the highest common divisor of 36 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szszssssszssss. What is prob of picking 2 s?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -311400335 (base 6) in base 2?\nAnswer: -10100100101100011000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -725.7616 and -0.4.\nAnswer: -726.1616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - -3.5. Let p = -3.1 + q. What is the smallest value in p, -4\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 430210439 to the nearest integer?\nAnswer: 20742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15483, -30805, -46127, -61449, -76771, -92093?\n\"Answer: -15322*n - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3444 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3078 and 33953.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 156781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b + b - 3 - b**2 + 2*b**2. Let a(o) = -2*o. Give q(a(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 - o. Let h(t) = -t**3 - 2*t**2 - 3*t - 1. Let n be h(-2). Let j = n - 3. What are the prime factors of d(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 270 and 19450?\nAnswer: 19180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2 + 5*r + 0 - r**2 - 1. Suppose -2*y - 4*i = 3*y - 22, 13 = 5*y + i. Determine q(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14 - 28)\/(5\/(-50)). What is the highest common divisor of 6510 and h?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111111110000010100000010 - 1?\nAnswer: 1001111111110000010100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 0.7. Let f = -67 + 62.1. Let l = f + 0.9. Put q, l, -2 in decreasing order.\nAnswer: q, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 15 = 6*l. Suppose -4*g + 19 = j - 0*j, l*g - 43 = 5*j. Is g less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -39*w**2 - 15*w - 15. Let t(c) = 80*c**2 + 28*c + 28. Calculate 9*o(b) + 5*t(b).\nAnswer: 49*b**2 + 5*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 3)*(-800*z**3 - 610*z**3 + 389*z**3) to m*z**3 + j + s*z**2 + l*z and give m.\nAnswer: -2042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m + 3. Let g(t) = -t - 4. Let h be g(-8). Suppose 3*s + 44 = h*i, i = 5*i + 4*s - 16. Suppose -5*r - 2 - i = 0, -11 = d + 4*r. What is p(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -541 or -537?\nAnswer: -537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 16 + (31 - 1 - 76).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**4\/6 + 2*y + 33. Let k(w) = -10*w**2 + w. Determine k(c(d)).\nAnswer: -40*d**4 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**5 - 13104*z**4 + 14124429*z**3 + 405465060*z**2 + 391327524*z = 0 for z.\nAnswer: -27, -1, 0, 2198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 26*u**2 + 242*u - 3415. What is i(22)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (2 + 6))*-2. Suppose 0 = -5*s + 1 + 4. Suppose -s + 2 = x - 2*n, -x + 19 = 4*n. Calculate the highest common divisor of x and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53228*n**2*z - 13785*n**2 wrt z.\nAnswer: 53228*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4949?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5\/4 + 425*q**4\/4 - 7299*q**3 + 137655*q**2 = 0.\nAnswer: 0, 38, 42, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**6*p**2 - 35*g**6*p + 19*g**2*p**2 - 4*g*p**2 wrt g.\nAnswer: -360*g**3*p**2 - 4200*g**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 15*k. Let v(s) = 9789543*s**2. Calculate u(v(r)).\nAnswer: 146843145*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53\/477 + 14\/9 - (0 - -2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4507293.\nAnswer: 3, 7, 71, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**5\/20 - s**4 + 5*s**3\/6 + 9*s**2 + 18*s + 3. Is z(13) 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 divisor of 2537 and 28025?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 97, 237, 453, 757, 1161?\nAnswer: 1677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -388*n**3 + 658*n**2 + 15*n. Let x(s) = 194*s**3 - 329*s**2 - 6*s. Let o(f) = 2*d(f) + 5*x(f). What is the third derivative of o(q) wrt q?\nAnswer: 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 5*o**3 - 4*o**3)*(-2*o + o - 4*o) - 9*o**4 + 4*o**4 + 8*o**4.\nAnswer: 13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpgggpgggg. Give prob of sequence gppg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -134 >= 190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1000110010001100011101 (base 2) to base 12\nAnswer: 930739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = 67*p - 403 - 247 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 3:16 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 148347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 6\/4)*-10. Let x(k) = -k**2 + 6 - 22 + b*k**2 - k**2. Is x(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188872 = 1353*v - 75220 for v.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5840 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 46 = -41804*x + 41806*x, -14*x - 5*p = 274 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*h**2 + 3*a**2*h - 11*a**2 + 217*a*h**2 - a - 4*h**2 - 3 wrt h.\nAnswer: -4*a**2 + 434*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u - 213. Let b be h(52). Let i(t) = -t**3 - 6*t**2 - 13*t - 4. What is i(b)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Let v(i) be the second derivative of -5*i**4\/12 - i**2\/2 + 14*i. Differentiate v(d) wrt d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -5*b - 5. Find the second derivative of w**2 - b*w - 3*w - 2*w + w wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = -2*p - 207. Suppose 960 = -p*q + 12*q - 3*i, -2 = -2*i. What are the prime factors of q?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 91249 and 0.4.\nAnswer: 36499.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 45 = -p, a - 3*a = -p + 65. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*w - 7 - 49 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6)\/x*x)\/(x*x\/(x\/(x**(-1)\/x)))*(x*x**(-2\/5)\/x*x)**20)\/((((x\/(((x*x*x\/(x\/(x*x*x*x*x**3\/x)))\/x)\/x))\/x)\/x)**(17\/2))**(-43) assuming x is positive.\nAnswer: x**(-5103\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 1300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7575*d - 386328. What is x(51)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 + -82. What is the remainder when x is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.0081652 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -581, -9562, -35451, -86702, -171769, -299106, -477167?\n\"Answer: -1409*b**3 + 882*b - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-4)\/(-6)*11\/(-44)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a4c1 (base 14) to base 12\nAnswer: -14521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 11725?\nAnswer: 11725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3)\/(3\/30*-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24995 and 1.\nAnswer: 24995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, s: 5, r: 8}. Give prob of picking 2 r.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -58, -5 in increasing order.\nAnswer: -58, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(1125) - sqrt(45) - sqrt(45)) + sqrt(45))*4 - sqrt(45) - sqrt(90)\/(sqrt(8)\/sqrt(4)))*-6)\/(-1*-1*(sqrt(144)*-1 - sqrt(144))))**2.\nAnswer: 2205\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 12:13 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*q + 2181 - 3882 = 190 + 4859 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2322, 5635, 8948, 12261, 15574, 18887?\nAnswer: 22200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 10*s**2 - 11*s - 21. Calculate b(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-70))\/(172161\/(-133903)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - x = -504. What is the greatest common factor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -3, 0, 1, 10, 19712.\nAnswer: -4, -3, -2, 0, 1, 10, 19712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 13 = -3. Is 11 a factor of ((-6)\/k)\/(14\/(-532))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)\/((-4)\/52). Let b = 16 - v. Solve -b*h - 3*u - 12 = 0, -2*h - 3*u - 8 = 2*u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/((sqrt(40)*2)\/sqrt(10)))\/(-1*sqrt(125)*1) + 0.\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78972895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 227, 450, 673?\n\"Answer: 223*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18088 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -139*j - j**2 - 145*j + 285*j. Let t be (8\/6)\/(2\/3). What is v(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/((-93303)\/(-7405)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -249*y**4 + 64*y - 2 wrt y?\nAnswer: -2988*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11253289*a**2. Let c(b) = b**2. Give i(c(k)).\nAnswer: -11253289*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 77, 170, 285, 434, 629?\n\"Answer: 2*z**3 - z**2 + 82*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6316 is divided by 382.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3560706 and 7922.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03136 plus -46?\nAnswer: -46.03136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5143 divide 854305041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 927*d**6\/2 + 2*d**5\/5 + 2*d**3\/3 - 1675*d**2\/2 + 2947. Find the second derivative of h(y) wrt y.\nAnswer: 55620*y**3 + 24*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 3*u - 5, -2 - 19 = -5*u + 3*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 17*d. Let x(y) = 20913*y. Calculate z(x(a)).\nAnswer: 355521*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j. Let p = 3 - 0. Let g(h) = -p*h + 0*h - h + 3*h. Calculate g(u(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(1\/1 - 2). Let g = 17 - r. Suppose -157 = -15*n - 142. Let u(v) = 6*v**2 + v + 4. Let o(w) = -w**2 - 1. Calculate g*o(q) + n*u(q).\nAnswer: q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1561, -3188, -4849, -6562, -8345, -10216?\n\"Answer: -3*a**3 + a**2 - 1609*a + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1390 = 2*k + 2*r + 1404, -28 = 4*k - 5*r for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2. Suppose -2*z + 14 + 6 = 0. Suppose -5*m + u + 48 = -3*u, -2*m + 8 = 4*u. Let w(a) = -z + 10 + m*a**2. What is w(l(n))?\nAnswer: 32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - 95a1bb?\nAnswer: -95a1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -52 + 105 + 10*q - 57. Let w be r(0). Let u(d) = d**3 + d**2 - 4*d - 3. Give u(w).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s = 3*d - 7, -5*s + 3 = 2*d. Let t be 97 - (2\/s)\/(-1). Calculate the highest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*y - 25*y + 24 - 17 - 20 wrt y?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(-1 + (-8)\/(-6)). Suppose -3 = z - 7. Suppose -j = q*t - 10, -2*t - 2*t = -2*j - z. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 290*r**2 + 5*r - 11. What is the tens digit of a(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -653 + 653. Let z = -11 - -14. What is the second biggest value in s, -4\/5, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10 + (-48)\/70?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 3*g - 2*g**3)*(101*g**2 + 116 - 55 - 72).\nAnswer: -202*g**5 + 22*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -51.3. Let w = a - -48.92. Let b = -0.08 - w. Sort -4, b, 1\/7 in ascending order.\nAnswer: -4, 1\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(2\/49)\/c*c*c)*c*c*c*c\/c**32*(c*c**(-22)*c*c)\/(c*c*c\/(c\/(c**13*c))*c) assuming c is positive.\nAnswer: c**(-3138\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -20 + 78 + -20 - -32.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 106. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(2 + 13\/(-7)). Let a be (-6)\/m*(-10 - -3). Solve -5*l - 11 = -a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 295 in decreasing order.\nAnswer: 295, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r + 61*r = 3072. Let b = r - 368. What is the highest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-370)\/(-25) + 16\/(-20). Suppose -g*c + 18*c + 2307 = 0. What is c rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*r - 18 = 0, 2*b + r + 1 = -0. Calculate the highest common divisor of b and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 865 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v + 0*v - v)*(-2 + v + 2)*(-8*v + 65*v + 9*v + 4*v).\nAnswer: 420*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12044 + 113441?\nAnswer: 101342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6444092783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -73 - (311 + -254)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 497 divide 2158176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2245 * -0.048\nAnswer: -107.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w**3 + 17*w**2 - 34*w + 240. Let n(p) = 4*p**3 - 6*p**2 + 12*p - 80. Calculate 17*n(i) + 6*z(i).\nAnswer: 2*i**3 + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 6. Let j be h(-4). Let r(b) = 37817*b - 1. Let d be r(2). Suppose -80367 - d = -j*y. Round y to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, -1\/11, 10\/7, 0.2, -2\/31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c + 223*c - 1822*c**3 - 851*c**3.\nAnswer: -2673*c**3 + 207*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 580319884?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11793002 divided by 13.\nAnswer: -907154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.1, 4235, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 + 164*q + 111. Give f(-54).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 303\/15*74\/1. Let z = k + -1490. Let u = -226\/45 + z. Is u < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uui when three letters picked without replacement from {d: 1, u: 5, i: 1, y: 1, a: 3}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -45040 rounded to the nearest one thousand?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/3)\/1*-21. What is the second derivative of -7 + 0 + 5*v + 5*v**2 + a wrt v?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27697, 51756, 75815, 99874?\n\"Answer: 24059*c + 3638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 722718 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505947215?\nAnswer: 5, 23, 4399541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 4) to base 2.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 49410*h - 23277280.\nAnswer: -5*(h + 496)*(h + 9386)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 1, -487, -41 in decreasing order.\nAnswer: 21, 1, -41, -487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/((-12)\/1504). Suppose 2*i = -2*i + l. Is i a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22027206 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 131 + 43 = 0. Let y = 423 - 424. Let m = w + y. What are the prime factors of m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 11:08 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -9 - 3*q**2 + 9 + 11. Let k = 625 - 623. Let h(j) = 3*j**2 + 5*j + 20. Let f(o) = -o**2 - 2*o - 8. Let y(w) = k*h(w) + 5*f(w). What is l(y(c))?\nAnswer: -3*c**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349513714.\nAnswer: 2, 674756857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 37*j = -39*j - 2290, 4*j = 3*c - 1730. What is the smallest common multiple of 750 and c?\nAnswer: 14250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 4:15 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 9:57 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.0553 - -21.0553. What is the closest to 2 in -4, -1, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (-3 - -4))*-1. Let j = 2 - n. Let u be (0 + -1)*(-1)\/j. Let g(h) = 4*h**2. What is g(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 80\/(-426) - 23\/(-138). Let y = p - -1169\/1562. Let d = -6\/161 - 569\/161. Calculate the common denominator of d and y.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/2)\/(-2)*(-3)\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 0.4 (c) -253 (d) -2\/15 (e) 2 (f) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/6*16\/(-20). Suppose -2*c = 4*z - 8 - 2, i*c = -2*z + 8. What is the highest common divisor of 18 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - (0 - (7 - 3))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*m + 5*m + 7*m)*(-12*m**2 - 5*m**2 + 6*m**2) in the form z*m**3 + x + i*m + n*m**2 and give z.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((2\/(-3))\/(-1))\/(-5 - (-1422048)\/284409) a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 56*n = -51*n - 42, 2*n = 2*v + 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 51*k**2 + 51*k**2 + 3*k - 146*k**2 + 49*k**2 - k**3 + 5. Let w(y) = y**2 - 7*y - 11. Let m be w(8). What is the remainder when l(m) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212838012 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: Let d(p) = 5*p**2 + 6*p - 2. Let h be d(-2). Sort -3, 8, 0, h in decreasing order.\nAnswer: 8, h, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 3*d + 7, 3*u - 147 = -d - 162 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10000100 (base 2) to base 16\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4534125023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**4 - 96760095*p**3 + 624167732293935*p**2 - 1342100646059904856085*p = 0?\nAnswer: 0, 6450673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r - 1085763 = -125*r - 46*r. Solve 7*x + 7308 = r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.603 to the nearest integer.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.4707*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*b*i - 436*b*n**3 + b*n**2 - 367*i*n**3 + 2*n wrt i.\nAnswer: -6*b - 367*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 10*u + 6. Let a = -352 - -336. Let h(c) = 1 + c - c - 3*c - 3. What is a*h(b) - 5*g(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -6) + -2 + -2. What is the third derivative of 4*h - 124*h**w + 216*h**3 + 138*h**2 - 3*h wrt h?\nAnswer: 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28990 divided by -1.\nAnswer: 28990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95 + 36 - 4736*t + 4740*t to the form b + a*t and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, 1, 3, 5?\n\"Answer: 2*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from arn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, u: 4}. Give prob of sequence umuu.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0055, 2\/13, -0.3, 2, -16, 3\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1715128 and 0.1?\nAnswer: -171512.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6065, -28143, -66239, -120353?\nAnswer: -190485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -43518*n**3 + 29*n**2 - 80*n. Let l(i) = 6217*i**3 - 4*i**2 + 11*i. Give 4*a(g) + 29*l(g).\nAnswer: 6221*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-24)\/(-42))\/((-22)\/(-77))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20222 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 139, 141, 145, 151, 159?\n\"Answer: o**2 - o + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4.6 times -604\nAnswer: 2778.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13851873.66 and -0.3.\nAnswer: -4155562.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1354 = -7*r - 10. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*r + 7*r + 27*r - 2520 = 0 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 302855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 11 = -3*f. Round f to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 133*m - 129*m. Factor 4*v**3 - m - 2*v + 2*v**2 + 43.\nAnswer: 2*v*(v + 1)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -14*s**3 + 9*s. Let g(p) = p**3 - p. What is -18*g(y) - 2*w(y)?\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 870760 and 660?\nAnswer: 2612280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 z, and 1 f when three letters picked without replacement from {x: 1, f: 2, z: 3, c: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278735 is divided by 635?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*o**2 + 2*o - 2*o + (-2*o**2 - o**2 + o**2)*(2 + 0 - 3))*(o**3 + 4*o - 4*o + (-2*o**2 + 2*o**2 - 2*o**2)*(-3*o - o + 5*o)).\nAnswer: 12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*u = -6*u - 240. Solve -3*m - 40 = 5*j, -u*j + 9*j + 4*m + 45 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 13*g - 14.\nAnswer: (g - 1)*(g + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 k when four letters picked without replacement from {k: 11, j: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-20) + (-3)\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 658825 divided by 658825\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**4 - 700*y**3 - 2860*y**2 - 740*y + 4296 = 0?\nAnswer: -3, -2, 1, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 367 + 67 = 0. Let b be 20\/c - (-8)\/(-70). What is the nearest to 1\/3 in -1\/6, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 + 116082?\nAnswer: 116097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 105491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20095, 20102, 20119, 20152, 20207, 20290, 20407, 20564?\nAnswer: 20767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1061 or -1062?\nAnswer: -1061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*i + 8. Let n be i\/2 + 3 + -10. What is the closest to -1 in -2\/11, -0.1, n?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2798 = -2*l, -5*l = 4*f - 601 - 2190. Calculate the remainder when f is divided by 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17.055 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7275 rounded to one decimal place?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (11 + (8 - 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 13*x - 11. Suppose -67 = -5*s + 48. Let h = s - 14. Is c(h) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/2)\/(-7))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*m + 5. Solve -2*b = -3*b - m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = -q + 49, 4*q - 17 = q - v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39749 rounded to the nearest one hundred?\nAnswer: -39700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -22. Suppose -53 + 20 = -c + 4*t, c - 29 = j*t. What is the remainder when 33 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.6 + 13. What is the third biggest value in 1, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + i - 6. Let s(h) = h**2 - h + 2. Let g(d) = -2*d**2 + d - 1. Let k(w) = -3*g(w) - 4*s(w). Determine 6*k(l) - 5*z(l).\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2796 + -2770. Suppose -5*n + 7 = -4*l - 16, 3*n - 4*l = 17. Solve 0 = -5*m - 4*q + i, 0*m - n*m - 2 = -2*q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6496523 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -121*b**6\/60 + 121*b**5\/20 - 85*b**4\/24 - 6*b**3 + 9*b**2 + 642*b. Solve h(x) = 0 for x.\nAnswer: -6\/11, 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1652)\/2832 - 1\/4*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 5*h - h. Calculate the greatest common factor of 90 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 + 2*c - 3. Let q(b) = 73*b + 3726. Let p be q(-51). Let s(v) = -v. Give p*s(x) + n(x).\nAnswer: 2*x**2 - x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*l - 3548, -5*b - 3*l - 23 = -4458. Let r = -552 + b. List the prime factors of r.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 2:37 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 792?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 390660367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 - 4.1. Let o = t - -1.2. Suppose 4*p + 2 = 5*p. What is the nearest to -0.2 in o, p, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019739 to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3901572 and 7478013?\nAnswer: 89736156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 5*p, -5*g + 552 = -2*p + 569 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 8*p**4 + 6)*(-1 + 1 - 1 + ((72 - 13 + 3)*(-2 - 3 + 3) - 6 + 1 + 4)*(-3 + 3 - 1)) in the form u*p**2 + j*p + t*p**4 + c*p**3 + z and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 455?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, f: 2, x: 1, k: 7}. Give prob of sequence fx.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.13, 10, 16\/59, 3, 2\/7, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-234)*-18*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 280, 390, -0.4 in increasing order.\nAnswer: -0.4, 280, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11 - 3*h - h**3 + 3*h - h + h**2 - 10*h**2. Let o be m(-9). Sort 3, o, 0.\nAnswer: o, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 7*k = 0. Let x be 2\/(-9) - (-40)\/18. Let c be 24\/15 - (-4)\/10. Solve k = -i + c*i + x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11815 divided by 4380?\nAnswer: 2363\/876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 3 (c) 6.3 (d) -480 (e) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + 6 - (211 + -198)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/(-3) + (6256\/2 - 7) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/10 + (-3402)\/(-70)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -268, -263, -268, -289, -332?\n\"Answer: -h**3 + h**2 + 9*h - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**4 + 250*g**3 + 1535*g**2 - 8980*g + 9900 = 0.\nAnswer: -9, 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019272078 to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + p**2 - 3*p + 4. Let m be r(4). Let x be 4 + m\/(-20) - (-6)\/15. Factor -4\/5*z**2 + 2\/5*z**3 - 2\/5*z + x.\nAnswer: 2*(z - 2)*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(180) + -1 + sqrt(180) - sqrt(180)) + (-1*sqrt(180)*1 + sqrt(180) - sqrt(180)))**2 + (-1*sqrt(30))\/sqrt(6) + (2 + sqrt(80))**2.\nAnswer: -129*sqrt(5) + 1720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2954*m**2. Let s(i) = 4212*i**2 - 6 + 6 - 4214*i**2. What is j(s(w))?\nAnswer: 11816*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58555 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 103, 288, 619, 1138, 1887, 2908, 4243?\nAnswer: 5934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**1*d\/d**8*(d**(-2)*d)**(2\/121) assuming d is positive.\nAnswer: d**(-728\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 29*z + 30. Suppose -4*k - 40 = -164. What is the units digit of h(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*b + 77 = 0, 5*w + 2132*b - 2135*b + 70 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*v + 12. What is the remainder when ((-1746)\/v)\/(-1 + -2) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4905718995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -5\/4*q**4 - 30*q + 0*q**3 + 24 + 0*q**2. Differentiate x(o) wrt o.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 3:52 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-11)*n*n*n**0)\/(((n**(-5\/4)\/n*n*n)\/n)\/(n*(n\/(n**(-16)*n*n)*n*n)\/n)) assuming n is positive.\nAnswer: n**(129\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, u: 1}. Give prob of picking 2 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*w - 46 + 9*w - 35*w + 7*w to t*w + b and give b.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*a - 7*a - 25, -4*a - f = 7. Let l(t) = -t**2 - t + 3. Let s be l(0). Let y(p) = -5*p - 2 + 4*p - 2 + s. What is y(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 - 2*v - 3. Let n(f) = -11 - 7*f + 5 - 3 + 0*f**3 + f**3 - 7*f**2. Determine 2*n(k) - 7*t(k).\nAnswer: 2*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-954)\/(-138) - 5 - (-3 + 5). Which is the closest to m? (a) -2 (b) 3\/5 (c) -6 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 113*s - 197059 - 357206. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 15 + (2 + 0 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/11, 1\/56, 0.2 in descending order.\nAnswer: 5, 0.2, 2\/11, 1\/56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/14 and 19\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/156)\/(-8)*3*1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2098701693?\nAnswer: 3, 11, 2939, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a*a**(-5\/8))\/(a\/a**(-1)*a))**21*(a**(-2\/3))**(-5\/7)\/(a**(1\/5)*(a**1*a)\/a) assuming a is positive.\nAnswer: a**(6007\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i - 3*b = -6, 5*i - 8 = -4*b. Suppose -3*u = 2*l - i - 7, -l = -u + 4. Let o be 7 - -1 - (u + -3). Solve -o = 2*s - 6*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7939 - -7849. Is m at most as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*n - 30 = -10, 0 = -2*v - 2*n + 12. Suppose b - v - 17 = 0. Calculate the remainder when (-2)\/2 + 2 + 51 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(66*k + 30*k - 30*k)*(2*k**3 - 3*k**3 + 2*k**3).\nAnswer: 132*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618285724?\nAnswer: 2, 7, 23, 137153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 54943736.4 milliseconds?\nAnswer: 0.090846125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.39 + 0.09. Let s = -0.42 + 0.02. Let y = 913 + -910. Which is the nearest to -2? (a) s (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 5*q + 34 = 0, -3290 = -17*u - 3*q - 3224 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -15*i - 239. What is n(-19)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 514*v + 1544. Let g be l(-3). Let x(h) be the second derivative of 0 + 25*h - 9\/2*h**3 + 14*h**g. Differentiate x(a) with respect to a.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27436020 is divided by 322776.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/3969 or 0.4005?\nAnswer: 0.4005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 39225085 - 39225085.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -2, -4, 3, -1 in descending order.\nAnswer: 42, 3, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkpkkkkkkkkkk. What is prob of picking 2 k?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000942322 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*g + 0*g = -92. Calculate the remainder when 47 is divided by 2\/(4 + g) + (-27 - -39).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1539) + 0)*1)**2 + -4 + (sqrt(1539) - (sqrt(1539) + sqrt(1539)*2)*6 - (sqrt(1539) + 3*sqrt(1539) + -3)).\nAnswer: -189*sqrt(19) + 1538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7095?\nAnswer: 3, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -23. Let y(o) = 5*o**3 + 5*o**2 + 8*o + 7. Let q be y(-2). Let m = 41 + q. Solve -3*a = 4*t + c, 4*t + m = -2*a - 0*a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -5, 32.\nAnswer: -5, -4, -1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(40) + sqrt(10)))\/(1*(sqrt(5) - sqrt(125))).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**3 - 2*g**2 - 20*g + 57. Let d be m(2). Which is bigger: d or -30?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*g)*(18 + 9 - 27 + 155*g).\nAnswer: -310*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from wnwywyyylmyinly.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 182\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 187483 and -87.01424?\nAnswer: 187570.01424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 1:17 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 245*d**2 - 537*d**2 + 238*d**2 as i*d + m + t*d**2 and give t.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*r + 64320 = -38*r - 71*r for r.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.1. Let y = 0.2 + g. Let x = -0.086 + -0.114. What is the third smallest value in y, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from {y: 2, f: 2, m: 1, t: 14}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1892, -3825, -7040, -11531, -17292, -24317, -32600?\n\"Answer: z**3 - 647*z**2 + z - 1247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5280*c + 1288 = 5207*c + 266 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1595 = 316*t + 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 21 = -4*o, 0 = 4*v + 2*o + 11 + 1. Let g = -51\/92 - -7\/23. Which is the nearest to -3? (a) g (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.1 (b) -58 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -179\nAnswer: 1\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3\/6 + 245*l**2\/6 + 41*l = 0.\nAnswer: -1, 0, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32645749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-80)\/60))\/(3\/39)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*h + 33294 = 388*h + 492*h for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -330, 1, -5, -6, 17.\nAnswer: -330, -6, -5, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 3\/4*j**4 + 5\/2*j**2 - 4*j + 0 + 13\/6*j**3. Let v(q) = -4*q**2 - 6*q - 2. Determine -6*l(i) - 13*v(i).\nAnswer: -2*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 5:32 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12950 divided by 350.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + 27. Suppose 0 = -3*a + a + 2. Let x(b) = 14*b**2 + 1. Let l be x(a). Calculate the greatest common divisor of l and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10870 divided by -943?\nAnswer: 10870\/943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3973306 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 5*d**4\/2 - 8*d**3\/3 - 45. What is the third derivative of t(m) wrt m?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**3\/3 - 56. Let t(s) = -22*s. Determine y(t(d)).\nAnswer: -484*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1857100 and 21224?\nAnswer: 3714200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 1\/1)*5. Suppose -133 = -u*m + 122. Let s = 17 - m. Solve s = -2*i + 5 - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -428909\/4 + 107256. Solve -15\/4*y**3 - 15 + 5\/4*y**4 - 45\/4*y**2 + u*y = 0 for y.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*f - 27. Suppose -4 = r + f. What is the nearest to 0 in -5, -2\/5, r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 311 - 158. Let v(z) = z**3 + 12*z**2 + z - 1. Let t be v(-9). Let q = t - w. What is the highest common divisor of 20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p - 26. Let a be w(6). Suppose 2*r - a + 3 = 3*g, -3*r + 21 = -3*g. Suppose -3*d + 263 = -6*f + r*f, 3*f = -2*d + 164. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + 0 - 3) + 0 + 2638 + -2633.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/36963 and 41\/1545.\nAnswer: 19035945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -24*p + 902. Give o(37).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 11*o = -64, -257*q - 52 = -261*q + 8*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**3 + 63. Let z(o) be the first derivative of 6*o**2 - 1. Let v(c) = 6*c. Let m(d) = -13*v(d) + 6*z(d). Give m(k(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*v + 4365 = 646*v + 500*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 6, 4, -15, 3 in ascending order.\nAnswer: -15, 2, 3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 22\/(-11) + -7 + 856\/44?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4019 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(2*2\/(-72))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**5\/60 - a**4\/6 + a**3\/2 + 2*a**2. Let d be t(-4). Let q = 2 + d. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -2*5*sqrt(13) - (sqrt(104) + (3*sqrt(104) - sqrt(104)))\/sqrt(8))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1171*n**2 + 363822 - 363822)*(2*n**2 + 6*n**2 + 5*n**2) to the form t + d*n + x*n**2 + k*n**3 + s*n**4 and give s.\nAnswer: 15223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = -q - 50, 0 = -5*q + 5. Let o = 16 + w. Suppose o = 2*m - 5*s - 184, 3*m - 5*m + 3*s = -180. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + c + 0*c**2 + c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(320))**2 + (sqrt(605) + 2 + sqrt(605))**2.\nAnswer: 72*sqrt(5) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3 - 3 - 44*u - 3*u - 146*u to n + p*u and give p.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 150 + -92. Suppose 2*p + 0 - g = 0. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -2303003?\nAnswer: 2302443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/6 + 73*w**4\/6 - 321*w**3 + 10802*w**2\/3 - 45980*w\/3 + 21296 = 0. What is w?\nAnswer: 3, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 356382 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: Collect the terms in -5*t**3 - 15*t**3 - 59*t**3.\nAnswer: -79*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 7:22 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*a + 2*t - 179, -2*a = t - 183. Suppose -14*c - 2*m = -15*c + 92, c + m - a = 0. What are the prime factors of c?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 12:10 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4102)\/369180 - 1439\/90?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*k - 6 = -5*k, -2*q = 2*k - 10. What is the tens digit of ((-273)\/28)\/(((-9)\/552)\/q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134 or 0.1?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 409492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2501752 divided by -8?\nAnswer: -312719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 451051*b*u**3 - b*u**2 - 8*b*u - 3*b + 779*u wrt u.\nAnswer: 2706306*b*u - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9793, -9817, -9817, -9799, -9769, -9733, -9697, -9667?\nAnswer: -9649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -40\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.938, -18.6, 1\/3 in increasing order.\nAnswer: -18.6, -4, -0.938, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 2 + 3*o + 0 + o. Let v be c(-4). Find i such that -4*i**5 + i**3 + 0*i**3 + 4*i**v + i + 2*i**3 - 4*i**4 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {d: 1, q: 4, n: 6}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 68\/(-17) + 2*6. Let q(k) = l + k**3 - k + 13 - 21. What is q(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, 5.\nAnswer: -12, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -177) + (-2)\/(-1). Suppose -5*j + 1280 = -f. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1063 - 1061. Solve -2\/3*z**n - 8\/3*z - 2 = 0 for z.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33053846 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4\/3 + 10*p**3\/3 + 16*p**2 = 0.\nAnswer: -3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 12)\/((-3)\/1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 419475465 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5131, 20713, 46677, 83017, 129727, 186801?\nAnswer: 254233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from gnzkddnsg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4911 + 4942. Let l = 66 + 49. Calculate the remainder when l is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -3, -1.54, -6\/25, 0?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**2 + 11*k + 12. Let t be r(-4). Let n be -3 + t + (-5 - -14). Solve -3 = 4*m - i + 4*i, -3*i - n = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 57. Let u(i) = i - 4. Let m be u(4). Suppose 0 = 2*n + 2, -11 = -o - n - m*n. What is the lowest common multiple of h and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12) + -1*(sqrt(300) - sqrt(12)) - sqrt(12)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**4 - r**4 + 0*r**4 + r**2 + r**4 - r**2 + (3*r**4 - 4*r**4 - r**4)*(3 - 6 + 2) - 25*r**4 - r**3 + 38*r**4 + 1 + 27*r - 18*r**4.\nAnswer: r**4 - r**3 + 27*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 11. Let k = p - 0. Solve x = -0*x + 4*l - 4, -2*x - l = -k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 14*h + 20. Let o be p(13). Suppose 0 = -o*b + 8*b + 8. Let c(g) = -2*g**2 + g + 14. Let d(v) = v**2 - v - 9. What is b*d(u) - 5*c(u)?\nAnswer: 2*u**2 + 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6876*u**2 + 41252*u + 18. Determine d(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -63*g - 2. Let w be j(-2). Let z = w - 72. What is the remainder when z is divided by ((-2)\/3)\/((-6)\/162)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g + 1. Let t(q) = -6*q + 2. Suppose s - 8 = -2*m, 3*m - 4*s + 2 = 25. Suppose -m*l + 20 = -r - 0, -25 = -3*r - 2*l. Determine r*t(v) - 7*c(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 331*y**4 - 196*y?\nAnswer: 3972*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3 + 3 - 4*i + 2*i. Suppose -115 = -5*n - 8*c + 3*c, 2*n - 51 = -c. Let d(p) = -3*p**2 + n - 13 - 15. Determine r(d(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**5\/20 + h**4\/12 + h**3\/3 + 2*h**2 - 16*h. Let b be i(0). Let z(s) = 3 + s**3 - 1 - 1 - 5*s**2 + 2*s. Determine z(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289651 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: Suppose -v - 5*c = -164, 3*v + c - 2*c = 508. Suppose -g - v = -179. Calculate the remainder when 44 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.1548 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/(3\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*h**3 + 8*h - 53*h**3 + 9*h**3.\nAnswer: -74*h**3 + 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2101.112 to the nearest integer.\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -c39130?\nAnswer: -c39139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - -6) + -8)\/(30\/255)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * -297281.\nAnswer: 386465.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/9 (b) -1\/2 (c) 0.09 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**2*u**2 + 832068*p*u**2 - 21074134*u**2 wrt p.\nAnswer: -2*p*u**2 + 832068*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t - 5 - 2*t - t)*(-11 - 4 - 7) + (-1 + 2*t + 1)*(1 - 1 + 6).\nAnswer: -120*t + 110","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289129.\nAnswer: 289129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -784 - -881. What is the remainder when r is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -47*h + 14. Suppose -8*u - 143 = 3*u. Let m be l(u). Let k = -430 + m. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -4)\/((-18)\/27). Let p = 6 - k. Find the second derivative of 3*a**2 - 2*a + p*a - 6*a**3 - 3*a**2 wrt a.\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**2*j*j*j))**(2\/21)*(j**(-1)\/j)**(1\/12) assuming j is positive.\nAnswer: j**(-9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*p**3*z**3 - 64926082*p**3 + 2*p**2*z**3 + 2*p*z**2 + 269091*z**3 wrt z.\nAnswer: -492*p**3 + 12*p**2 + 1614546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-14) + 66\/(-14). Let m = 0.19 - 12.19. Let z = -3 - m. Which is the nearest to 0? (a) z (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728646278?\nAnswer: 2, 1223, 297893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -8\/7 (c) 13 (d) -11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 13*i**2 - 18*i + 55. Let j be c(14). Suppose 3*p + v = -7 + 24, 3*p - v = 7. Suppose p*q = -q + b - 77, 19 = -q - b. Sort j, q, 0.\nAnswer: q, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9*a + 46. Let g(l) = -40*l + 63. Determine g(d(z)).\nAnswer: -360*z - 1777","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000031455932 to 7 decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 47701158, 47701150, 47701146, 47701146, 47701150?\n\"Answer: 2*u**2 - 14*u + 47701170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 2*c - 3*c**2 - 2*c)*(0 - 5 - 1).\nAnswer: -6*c**2 + 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)*u)\/(u*u**(2\/5)\/u))**(-5\/4)*(u**(-1))**(-27\/4)*u\/u**(-2\/3)*u**(-5\/3) assuming u is positive.\nAnswer: u**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 93\/33 + 2\/11. Suppose -u + 25 = -5*o, 2*u + o = h*u - 33. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -220021?\nAnswer: 220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 divided by -36?\nAnswer: -65\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/11 + 238\/462. Let h = 8 + -33\/4. Which is the closest to -3\/7? (a) h (b) -0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1 (b) -23 (c) 3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 27263*a\/3 - 27262\/3.\nAnswer: -(a + 1)*(a + 27262)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n**2 - 4702*n - 24897. Determine m(593).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 + 39 + 3)*(-w - 2*w + 2*w)*(0*w**2 + 4*w**2 - 3*w**2)*(-29*w + 28*w - 21*w).\nAnswer: 2772*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*o + 3*k, -4*o + k - 1 = 8. Which is the nearest to 0? (a) 5 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (2 + -3 + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*g + 3, -u + 0*u = -3*g. Let y = -4 + g. Let t be y*(1 + -3 + 1). Which is the second biggest value? (a) t (b) -5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 270635115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.82 - 0.58. Let w = o + -26.6. Let f = w - -29.0000425. Round f to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2070 + 2079. What is the lowest common multiple of 17 and i?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from hdrmhbdvvbbb?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 3 - 1\/3*q**2 - 1\/9*q**3 + 1\/3*q + 1\/6*q**4. Let t(z) = 0. What is z?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.08 (b) -0.5 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 2*o**2 + 11*o**2)*(99 - 9*o - 183 + 88).\nAnswer: -135*o**3 + 60*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2553017 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 17 = -23. Suppose -2*g = -0*g + 3*z, m*g = z + 14. Solve 0 = -g*c + 5*o + 6, -2*c + 5*o + 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 825 = -5*z, -z + 2*q + 167 = 4*q. Suppose 0 = -7*j - 9 + z. Suppose 3*b = 5*h + j, 2*b - 16 = -2*b. Let o(k) = -k**3 - k + 1. Calculate o(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 0. Let y be (2\/4)\/(i\/8). What is the units digit of 11 - y\/2*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v. Let t(r) = -24659*r**2. Determine t(b(x)).\nAnswer: -24659*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -6\/13, -3\/5, 0 in ascending order.\nAnswer: -3\/4, -3\/5, -6\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (12\/2)\/(1\/(16\/24))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3557 - 3553. Suppose 5*j - b + 3 + 2 = 0, 10 = 5*j + 2*b. Solve j*s + 2*s = v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21312.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zii. What is prob of picking 2 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*q - 2. Suppose a + 0 = q. Suppose a*i - 4*i + 18 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 = 8*d + 5*d. Let i = d - -41. Suppose 0 = 6*v - 4*v + 6. Put 9, i, v in descending order.\nAnswer: 9, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a03d6 (base 14) in base 12?\nAnswer: 386008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -126103 in 17, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00119417618 rounded to seven dps?\nAnswer: 0.0011942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 0, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39639, 39632, 39619, 39600, 39575, 39544?\n\"Answer: -3*l**2 + 2*l + 39640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 46232, 3, 1, 31 in descending order.\nAnswer: 46232, 31, 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5334 divided by 107726\nAnswer: 2667\/53863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2. Let u(b) = -48*b**2 + 114*b**2 + 54*b**2. Determine u(c(o)).\nAnswer: 480*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-3))\/((-2)\/6). Let k = -6 + x. Let r = k + -5. What is the second biggest value in -2, 4\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 11. Solve -s + 3 = -o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-64)\/(-12) + -3 - 3. Suppose 4*h = 8*h - 12. Let w be (h\/(-10))\/((-21)\/(-56)). What is the closest to 2\/3 in -2\/7, w, u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250239 is divided by 900?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llkwwllkkl. Give prob of sequence kllk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, f: 2, s: 6, k: 2, n: 1}. Give prob of sequence kn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 8*h - 5 + 6*h + h**3 - 28*h + 11*h. Find the first derivative of s(q) wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -120807?\nAnswer: -120807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 3*k - s - 12 = 0, 36 = 3*k - 3*s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/26 + 2 + -1. Let l = -25243 + 25242. What is the biggest value in l, g, -0.38?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(650) + sqrt(650))*3)\/(sqrt(72)\/(sqrt(9)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10*x**3 + x**2 + 1. Let v be r(2). Suppose -388 + v = -l. Suppose l + 413 = 2*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1093021*a**4*n + 192*a**2 + 484*n - 375483 wrt a.\nAnswer: -4372084*a**3*n + 384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 7*m + 5. Let s = -15 - -23. Let d be y(s). List the prime factors of d\/4 + (-78)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -47152\nAnswer: -1414.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 78493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*l**2 + 18*l**2 - 13*l**2 + (l**2 + 2*l**2 - l**2)*(-3 + 4 - 5).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*x**5 - 14856*x**3 - 425806*x?\nAnswer: -180*x**3 - 89136*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 23, 33, 45, 59?\n\"Answer: m**2 + 5*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -161*p - 199. Let o(i) be the third derivative of -i**3\/3 - 6*i**2 - 11*i. Let t(y) = o(y) - u(y). What is the derivative of t(l) wrt l?\nAnswer: 161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*m + 8, 3*a - m = -a - 4. Suppose -8 = 25*c + 42. Sort -4, a, c in descending order.\nAnswer: a, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -504339 + 180219. Let o = s + 324113.99996. Let l = o + 6. What is l rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -1\/120*f**6 + 1\/5*f**5 + 1\/8*f**4 - 11*f**2 - 3*f**3 + 0 + 0*f. Is h(12) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cch when three letters picked without replacement from {u: 5, c: 5, h: 3, y: 3, w: 2}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 28 = 3*u, 2*m + 0 = -5*u - 15. Suppose -2*d - 2*f + 10 = 0, 3 = -d - 5*f + 16. Let z = -8 + d. Put z, 0, u in increasing order.\nAnswer: z, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, s: 2}. What is prob of sequence lss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veee when four letters picked without replacement from {v: 7, e: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7045962 + -0.06.\nAnswer: 7045961.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 189 - 19. List the prime factors of v.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from {d: 1, q: 1, k: 2, c: 1, w: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*c - 37*c + 7*c.\nAnswer: 168*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 676.7328 litres in millilitres?\nAnswer: 676732.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -296*d**6 - d**3*k**2 - 3*d**2*k - 112*d*k**2 wrt d?\nAnswer: -35520*d**3 - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/31378 and -155\/78.\nAnswer: 1223742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -246897 (base 10) to base 8\nAnswer: -742161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 times 1283?\nAnswer: 44905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + -0.29. Let h = p - 0.68. What is the closest to h in -0.1, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569 divided by -523?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s. Let f(g) = 314460*g**2. Calculate f(n(c)).\nAnswer: 20125440*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 + -54. Let z(d) = -d**3 - 5*d**2 - 5*d + 2. Let g be z(-5). What is the highest common divisor of t and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.6 - 8.6. Let j = -3.4 - r. Which is the closest to 0.8? (a) 5\/6 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1016\/36 + (-2)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*a**2 + 200*a - 65.\nAnswer: -5*(a - 13)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -7*h + 44. Let i = h - 21. What is the third derivative of i*g**2 + 51*g + 12*g**2 - 51*g - 9*g**4 wrt g?\nAnswer: -216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14444 + 114328 = 1686*x + 12438 for x.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 5:54 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v**5 - 2*v**4 + 18*v**3 + 4*v**2 - 9*v - 2 = 0.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28092 is divided by 5719?\nAnswer: 5216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 4128678*s**3 + 2841001133280*s**2 + 651648005918683648*s + 1954918448857325568.\nAnswer: 2*(s + 3)*(s + 688112)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -49*x + 146 - 146 - 8*x. Let m(b) = b**2. Calculate w(m(l)).\nAnswer: -57*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 76200712 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l**2 + 5*l + 1. Let p(r) = 25*r**2 + 14*r - 5. Let a(t) = 51*t**2 + 28*t - 8. Let f(o) = 4*a(o) - 7*p(o). Determine -6*f(c) + 17*m(c).\nAnswer: -4*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3984 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - 2*m**3 - 13*m**3)*((-3*m - 6 + 6)*(125 - 53*m - 125) + 2*m**2 + 0*m**2 - m**2).\nAnswer: -2240*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -104384.214 to the nearest 10.\nAnswer: -104380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283, -549, -813, -1075, -1335?\nAnswer: -1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 95566837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 813707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7806, -3, 30, 1, 3 in decreasing order.\nAnswer: 7806, 30, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 2:50 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11005\/12 + 912. Find the common denominator of 41\/14 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006008 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 3*q - 15, 3*q = 2*b - 0*q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-76)\/(-12) + 1\/(-3). Let z be 2\/b - (-210)\/18. Calculate the greatest common factor of 48 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 8:49 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + 0 + 1 + -72 + 141?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*1*6 - (-4 + (sqrt(3) - (sqrt(3) + (sqrt(12) - sqrt(48))))))**2 + 5.\nAnswer: 224*sqrt(3) + 2373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/6, 1, 1\/5, -1\/14?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 + -100. Let a(c) = 2*c**2 - 5*c + 5. Let y = 3 - 2. Let h be -6 + 2*y\/2. Let i(v) = -6*v**2 + 16*v - 16. Give h*i(f) + n*a(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82, -56, -30, -4, 22?\n\"Answer: 26*g - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17941.\nAnswer: 7, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278752794.\nAnswer: 2, 3, 46458799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 192.4 and 1.029.\nAnswer: 197.9796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -80916 and 496.\nAnswer: -80420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 41. Solve 3*r = -c*b - 4 - 1, 3*b + r - 3 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7892*-1500*(-40)\/24. Round y to the nearest 100000.\nAnswer: -19700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*g*q**2*y**3 + 140*g*q**2*y**2 + g*q**2 + 3*g*q*y**3 - g*y**2 - 55*q**2*y**3 + q**2*y**2 - 2*y**2 wrt y?\nAnswer: 66*g*q**2 + 18*g*q - 330*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, i: 3, o: 1}. Give prob of picking 2 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 8:20 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 138582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**6*v + 3021527*j**3 + 9*j**2*v + 282*j**2 - 3*v + 25 wrt j?\nAnswer: -240*j**3*v + 18129162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 8. Let m be h(-5). Let t(z) = -23*z**3 - 41*z**2 - 3*z + 5. Let j(g) = -11*g**3 - 21*g**2 - g + 3. Let n(a) = m*t(a) + 5*j(a). Factor n(x).\nAnswer: 2*x*(x + 1)*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g = 265. Suppose 0*k + 3*k - 55 = -2*h, 0 = 3*k + 4*h - g. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1946\/11 or 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(3*sqrt(45) + sqrt(5)).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 725 and 6439075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44210784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239014 is divided by 3855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5\/8 - 9903*r**4\/8 + 24532203*r**3\/8 - 73537201*r**2\/8 + 9189675*r - 6125625\/2 = 0. What is r?\nAnswer: 1, 4950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12042 - 12042. Suppose 0 = -13*x + 12*x + 3. Sort x, m, 20 in increasing order.\nAnswer: m, x, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -6*((0 + sqrt(1539))*3 + sqrt(1539))*-3 + 4 + -2 + -1*sqrt(1539) + -5)**2.\nAnswer: -3834*sqrt(19) + 7758108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**5\/9 - 34*o**3\/3 - 196*o**2\/9 - 32*o\/3 = 0.\nAnswer: -6, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51282846 divided by 502773?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 8*d + 8. Give r(-4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1 + sqrt(475))**2)*4.\nAnswer: 40*sqrt(19) + 1892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11504 and 146676.\nAnswer: 586704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111 + 138. What is the common denominator of -16\/9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15221, -30423, -45625?\nAnswer: -60827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 236*65\/80 - 14\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5723159 and 29003?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 87 = -x. What is the smallest common multiple of x and 2?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 2, -0.6, -13853, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152451 is divided by 481.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -4, -2, 315 in descending order.\nAnswer: 315, -2, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -45.9993?\nAnswer: -45.9993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (-2*sqrt(200))\/sqrt(4))\/(sqrt(110)\/(-2*sqrt(11))) + 4.\nAnswer: 4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/7)\/u*u)**(-49)\/((u*u*u**(-9)*u*u)\/u**(1\/6)))**(-2\/97) assuming u is positive.\nAnswer: u**(53\/291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7. Suppose -2*f - 3*f - 40 = s. What is the common denominator of 574\/168*6\/f and 151\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 2714 = 2663. Suppose 0*f**k + 4\/7*f**2 + 0*f - 2\/7*f**4 - 2\/7 = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1266*c**3 - 1692*c**2 + 122859159*c.\nAnswer: 7596*c - 3384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/191492 and -59\/24893960?\nAnswer: 24893960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1196850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 71*i + 332. Let m(b) = -130*b - 665. What is 6*m(z) + 11*n(z)?\nAnswer: z - 338","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 + 9.68. Let u = -10 + j. Let r = 0.2 - -0.1. Which is the biggest value? (a) r (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f + 26. Let d be k(-7). Suppose -3*w - 5*q = -46, 3*q + 38 = 2*w - q. Suppose 0 = 3*h + d*b - w, 5*b = -14 - 11. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*n + 10 = 218*n. Solve 5 = n*s + 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 c when three letters picked without replacement from xpxpccppcw?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*c**4 + 43*c**2 - 2*c - 13*c**2 + 2 - 11*c**2 - 16*c**2 - 3*c**4 in the form y*c**4 + q*c + n*c**3 + d*c**2 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3)*-10*(-18)\/(-30)*814\/185?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 1089 = -279. Is w greater than or equal to 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) -1 (c) -3.765 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73627640?\nAnswer: 2, 5, 67, 83, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 5*c - 9, 2*a + 10 - 11 = c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/6805 and -32\/5.\nAnswer: 6805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -1639\nAnswer: 29\/1639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let z be ((-11)\/(-2))\/((-5)\/(-10)). Let o(j) = z*j**2 - 16*j**2 + 48*j**2. Give f(o(h)).\nAnswer: -43*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-62)\/(-2) + (-9)\/(-4 - -7). Suppose -7*x - w = -63. Let i = 72 + -47. Solve 0 = x*g - i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 11. Let x be (n\/(-10))\/(2\/20). Put 2, x, 3 in increasing order.\nAnswer: 2, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, d: 1, m: 1, j: 1}. What is prob of picking 1 j and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 14*q**3 - 3*q - 1. Give l(-2).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/((-11)\/99)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w + 5. Let m(z) = z - 10. Let t be m(11). Suppose 2*d = 3*d - t. Let a(f) = f + 1. Calculate d*c(x) - 5*a(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, x: 1, p: 1, h: 1, j: 1}. What is prob of sequence xdpj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*d**5*r - 7*d**4*r**3 + 18*d**2 + 2*d*r**2 - 5*r**3 wrt d?\nAnswer: 600*d**2*r - 168*d*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171\/((-152361)\/(-324))*22\/20.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4371 and 22816?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/(-20) - (-9)\/12. What is the second smallest value in z, 2\/13, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 + 58. Let d = x + -165.6. Let z = 20 + d. Which is the third biggest value? (a) -1 (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-232)\/(-2) + (-3)\/(-3 - -4).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33909 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 68 = d, 3*r - 560*d = -561*d + 44 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.60522921 rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -288, -294, -304, -318, -336, -358, -384?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/17 - 8448*f\/17 - 8921088\/17.\nAnswer: -2*(f + 2112)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4ac + 77?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7724062 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 16827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52082219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15522 or -15523?\nAnswer: -15522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -531 (base 6) to base 15.\nAnswer: -d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 720 and 110880?\nAnswer: 110880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*l**2\/3 - 5118*l + 4388\/3.\nAnswer: -2*(l + 1097)*(7*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 2. Let r = 3 + -2. Suppose 4*f - 25 = -r. Let m be x(f). Solve -2*a = -m*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 549 + -544. Solve -2*k + q = -7 + 3, -4 = -2*k - y*q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-6)*(0 - -2). Suppose v*w + 11 = -19. Let r = 13 + w. Solve 0 = -4*d + 5*s - 6, -4*d + 2*s = -r*d + 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 372 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129.3 - -129.323. Sort 0.2, 1\/6, l, -0.5 in increasing order.\nAnswer: -0.5, l, 1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5 - 10 - 12 - 2*l + 5*l wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c - 9 - 12 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 6 = -4*q, 5*g - 4*q - 40 = 0. Factor -108*o**4 + 32*o + 14*o**4 - 198*o**3 - g*o**2 - 8*o - 95*o**4.\nAnswer: -3*o*(3*o + 2)**2*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -3. Suppose -3*j - 3*s + 36 = -l*j, 0 = -4*j + s - 26. Let b(z) = z**2 + 4*z - 5. Give b(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10261 (base 8) to base 3.\nAnswer: -12212021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935997 is divided by 780.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8683804 * -0.2\nAnswer: -1736760.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319 - 45 = -5*y + 2*r, 0 = -3*y + 4*r + 224. Factor -37*a - 27*a + 180*a**2 - 1046 + 64*a**3 + 4*a**4 + y*a**2 + 790.\nAnswer: 4*(a - 1)*(a + 1)*(a + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 8. Let i = j + -0.6. Sort -3, 0.1, i in ascending order.\nAnswer: -3, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*9 - 3317\/(-372)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.55 - -3.9. Let w = 0.35 - b. Are 5 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 10) in base 4?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4569.0614 rounded to zero decimal places?\nAnswer: 4569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4 + 22*d**3 - 388*d**2 + 672*d = 0.\nAnswer: -21, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 21. Let t = 20 - i. What is the lowest common multiple of 10 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1, -4, -3, 15 in ascending order.\nAnswer: -4, -3, -1, 15, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 25 = s. Let p = s - 22. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199.\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 266 + -263. Suppose 0 = v*b - 28 + 25. Is b > 2\/273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*z**2 + 97*z**2 - 3*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1247?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149.2 - 60. Let p = z - 89. What is the fourth biggest value in -10, 1, -2, p?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 - (6 - ((-5)\/(-2))\/(300\/2160)). Let v(g) be the first derivative of -32\/3*g**3 + 36 + 0*g + g**t + 32*g**2. Solve v(x) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -91, -123, -147?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4453 or -5923?\nAnswer: -5923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 268?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 5 - 27*c**3 - 1.\nAnswer: -27*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*s - 240 = -114 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -194577?\nAnswer: -194571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -271*i**3 + 90*i**3 - 28 + 24 in the form h*i + z + w*i**3 + k*i**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 234 + -234.2. What is the second smallest value in -7, f, 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**4\/12 + 447*v**2\/2 - 76*v. What is the hundreds digit of k(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 12. Suppose 0 = -3*x - 2*x. Let i be t(x). Suppose -4*c - 9 = 4*d - d, 3*c + 4*d + i = 0. Which is bigger: 2\/7 or c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.04, -3\/2, -11.7, -5, -50, -2\/9, 1\/4?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 546400, 1092798, 1639196, 2185594?\n\"Answer: 546398*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6 - ((-15)\/(-9) - 2). Suppose -u + 9*u - 2624 = b. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/203069447 and -5\/22988994.\nAnswer: 1218416682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10194 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 49.64 and 19859416?\nAnswer: 19859366.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.4099 minutes in hours?\nAnswer: 10.240165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21120 (base 3) to base 12.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5875256113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*j - 8, -3*j - 2 - 4 = 4*f. Suppose -3*y + i + 4 = f, -2*y - 5*i + 40 = 3*y. Suppose 30 = 8*k - y*k. Solve k*u - 2*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000 (base 2) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 2\/13, -1, -2\/19?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 78637662, 78637656, 78637650, 78637644, 78637638, 78637632?\n\"Answer: -6*f + 78637668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 - 288*i**3 - 1368*i**2 - 1888*i - 804.\nAnswer: -4*(i + 1)**2*(i + 3)*(i + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x - 3. Suppose -6 = -3*u, -5*u + 35 = -0*y + x*y. Suppose -y*v + s - 2*s + 159 = 0, 2*s = 4*v - 116. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 8. Suppose -l + j*l = 2. Solve 12 = l*r + r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287670 take away 0.0224?\nAnswer: 287669.9776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6.1 or 158\/205?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -13 and -13 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.8758 litres to millilitres.\nAnswer: 39875.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13174, -6, 0, 5 in increasing order.\nAnswer: -6, 0, 5, 13174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47892 at least as big as -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*m*q - 358*m - 68036*q**2 - 4604 wrt q?\nAnswer: -14*m - 136072*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**2\/3 + 5224*g\/3 + 1705636\/3 = 0. What is g?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.509 - -20.509. Sort 3\/4, -1\/6, n, -0.3 in decreasing order.\nAnswer: n, 3\/4, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - l - 1, 2 = 5*z - 2*l. Suppose z*k = k. Find the third derivative of k*u**2 - 2*u**6 + u**2 + 2*u**2 wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 at least as big as 653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*o + 2. Suppose l + 0*l + 2*b = 98, -o*l + b + 191 = 0. Suppose -2*w + 4*w - l = 0. What is the greatest common divisor of 72 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 80411403 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: Find the common denominator of 47\/115 and -2 - -1 - (1580\/(-225) - 8\/(-36)).\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289688?\nAnswer: 2, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (38 - (77 + -35)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52760536 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2834.2 and -6?\nAnswer: 2828.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109\/153 + 1723\/1989. Sort -1, i, 0, -5\/8.\nAnswer: -1, -5\/8, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6051, -4, 4\/39, -62\/19?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-118)\/124 - -1)*-6*(-14)\/63.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28627561121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) - (-13)\/4. Suppose -g*x + 22 - 7 = 0. Suppose 4*y = 5*y + x. Which is the biggest value? (a) y (b) 0.3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24892 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18840 - -60697. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 31 - 9. Suppose -4196 - 9304 = -d*w. Round w to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3298 * 0.2\nAnswer: -0.06596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/(-9)*(-5)\/(-18). Is q < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*s + 19*s + 7 + 10*s + (-4 + 0 + 3)*(-3*s + 0*s - 3*s)*(3 - 2 + 4))*(4 - 1 - 1).\nAnswer: 48*s + 14","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Are 22603 and 226029\/10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10628 - -51a?\nAnswer: 11047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 787, 798, 815, 838, 867, 902, 943?\n\"Answer: 3*d**2 + 2*d + 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -285 + 7?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(45\/12)*42\/(-280)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -62306, -62308, -62310, -62312, -62314?\n\"Answer: -2*u - 62304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -159 and -1423\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 31*p**3 - 41*p**2 - 294*p + 299. Give m(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1163 + -1001. Calculate the highest common divisor of 126 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**4 - 457920*k**3 = 0.\nAnswer: -114480, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 88, 14.\nAnswer: -2, 14, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*q)*(0*q + q + 0*q + 2).\nAnswer: 2*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 6:03 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2056 is divided by 216.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4165287 = -37*r - 79*r - 605247. Does 45 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(2))**2 - -1*(sqrt(7) - (sqrt(21)\/sqrt(3))**2).\nAnswer: sqrt(7) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.01, 4, -349, -57, 4\/3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - x. Let d be f(-1). What is the third derivative of 0*y**d + 2*y**2 + 2*y**5 + y**5 wrt y?\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-484)\/(-22))\/((9\/3)\/(36\/(-120))).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/90)\/(((-35)\/40)\/(9\/60)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 x when three letters picked without replacement from nxnxnnnxnxnnnxnxnnx?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 + 121. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 19*m = -169. List the prime factors of ((-148)\/2)\/2*(m - 14).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10639, 10642, 10647, 10654, 10663, 10674?\nAnswer: 10687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 388905079 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 3.321?\nAnswer: -1.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*a + 3 = 7, 0 = -a. Suppose -7*u + j*u = -10. Solve 3*y + 5 = u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 0.70899744626.\nAnswer: -1.00899744626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-2)*(-5 + 0)\/150?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 smaller than -2\/2350743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-212)\/(-18) - (-6)\/27. Let d be 15\/r - (-2)\/(-8). Solve -4*s = 3*c - 22, 13 = -4*c + 5*s + d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {y: 2, k: 4, n: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) -11 (c) -1 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**3 + 6*i - 19. Let d(u) = -67654*u**3 + 7*u - 8*u + 67655*u**3. Calculate 6*d(j) + l(j).\nAnswer: 2*j**3 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-86)\/129 - 33\/18. What is the second smallest value in i, -252\/17, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336573.\nAnswer: 3, 37397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-5 - 1)\/(-3). Let v be 56 + 4 + (t - -4). Suppose 5*k + v = 321. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/(-12))\/(5\/(-5460)). Suppose 5*n = 9*n - t. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.9 - -28.2. Let q be -2 - (-2)\/3 - -1. Let x be 4\/(-39)*(-45)\/30. What is the biggest value in q, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 13.7. Let y = 0.6 + -0.3. Let d = y - 0.8. What is the smallest value in 1, v, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 + 1. Let k = 0 + 1. Which is the closest to k? (a) q (b) 2\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n + 2*a - 4, -3*a + 27 = n. Solve 5*j = -2*k + 12, n*j - 2*k = -5*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, -1, 4562 in decreasing order.\nAnswer: 4562, 10, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000245154 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -9 - 3 - 24*u + 20*u**2 - 9 + 3. What is the units digit of t(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4194561900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3246422429?\nAnswer: 29, 9941, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44995 and 1610821.\nAnswer: 8054105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(15\/(-5) + (-38)\/(-13)). Calculate the highest common divisor of o and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11222 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 3, -0.2, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.1. Let g be (-87)\/27 + (-9)\/(-3). What is the closest to 0 in g, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1334.24 (c) -0.1 (d) -0.5 (e) 4 (f) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/900 + (-196)\/18 and 95\/1226.\nAnswer: 3678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -88?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3362*g**2 - 2184011 + 2184011 + 1394*g**2)*(0*g**3 + g**3 - 3*g**3).\nAnswer: -9512*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*h - 437 - 4183. What is the lowest common multiple of h and 669?\nAnswer: 13380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 119 = 113 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x + 288 = 1240. Calculate the remainder when 122 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5 - 304*i**4 + 10218*i**3 - 93956*i**2 + 214840*i - 130800 = 0. Calculate i.\nAnswer: 1, 2, 10, 30, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/15 - (6 + -4). Let x(g) = -g**3 - 14*g**2 - 15*g - 14. Let w be x(-13). Let r be (1\/(-12))\/(w\/36). Which is bigger: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 1. Let y(k) be the third derivative of k**5\/20 - 5*k**4\/24 - 5*k**3\/6 - 7*k**2. Let f(x) = -6*r(x) + y(x). Is f(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203434558, -406869118, -610303678, -813738238?\nAnswer: -1017172798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/73)*o)\/o*o*o**(9\/2)*(o*(o\/(o\/o**30))\/o)\/o*o**43 assuming o is positive.\nAnswer: o**(11465\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from attz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 302 and 564586?\nAnswer: 85252486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*(y\/y**(1\/3)*y)\/y)\/y)**(-1\/4)*(y**1*y)\/y**3)**(1\/2) assuming y is positive.\nAnswer: y**(-17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*y + 247*y - 603 = -252*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 68 + -31 - 51 - (-8 - 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -60832 (b) -65 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 325331612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.2 (b) 119 (c) -1 (d) 2\/11 (e) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 131 + 218*d**2 + 221*d**2 - 447*d**2 + 7*d. Let k(w) = 39*w**2 - 35*w - 656. Let i(q) = -2*k(q) - 11*x(q). What is the derivative of i(c) wrt c?\nAnswer: 20*c - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t + 2. Let b = 0 + t. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a factor of 15260844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 + 56. Suppose 4*b = -5*s + 60, -h*b - 4*s = b - 60. What is the lowest common multiple of b and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(693) + 4*(sqrt(693) + sqrt(693)*-2))\/sqrt(11))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 287, -22, 9, -2, 18, -3 in decreasing order.\nAnswer: 287, 18, 9, -2, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2 (b) 1\/7696 (c) -1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4*d - 8, -2*g - d = 3*g - 18. Suppose -32 = -0*y - g*y. Let i(c) = 2*c**3 - c**2 + 2. What is the least common multiple of y and i(2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 13*s**2 + 1668*s + 518. Determine c(-128).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1078) - 2*sqrt(1078) - sqrt(1078))\/((sqrt(539) - (sqrt(539) - (sqrt(539)*1 + sqrt(539)))) + sqrt(539)))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*3\/6*-5. What are the prime factors of (b\/(-4))\/((-3)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 + 128. What is the greatest common divisor of i and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 + 2*n. Let q be c(-4). Suppose -4*w - w = -q. What is the lowest common multiple of 28\/(-3)*60\/(-40) and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(12) - 4*(sqrt(108) - sqrt(12) - sqrt(12))) + sqrt(192)*-1)**2.\nAnswer: -2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -175 (c) -2\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37099 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10192820 and 22684.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 735 and 315?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -143 and -12.\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*b + 16, -2 = t + b - 2*b. Let g be 0 + 1 - (-1 + t). Solve g = 3*w - 5*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-23))**(30\/13)\/(k\/(k*k*k*k\/(k**9*k*k)))**(1\/9) assuming k is positive.\nAnswer: k**(6646\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u + 3793 = 1999 for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 1426 = -1411 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19553 is divided by 259?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000577227 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 70106.7 to the nearest 100.\nAnswer: 70100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 6*k**2 + 6*k. Let v be q(-4). Is (46\/v)\/(2\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 6)*(0 + 4 - 6)*(-1331*y + 407*y - 230*y).\nAnswer: 4616*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 124, 280, 508, 814, 1204, 1684?\nAnswer: 2260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 3*t - 10. Let p(q) = 2*q**2 + 5*q + 21. Suppose 0 = -5*o + 3*o - 2*c + 22, -3*o + 29 = c. Let n(j) = o*u(j) + 4*p(j). Factor n(r).\nAnswer: -(r + 1)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**6\/2 - 21*h**5\/5 + 57*h**4\/4 - 25*h**3 + 24*h**2 - 12*h - 193. Let f(j) = 0. What is j?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.914 - 0.186. Round x to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 62445 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4 = 2*x, 5*y - 55 + 35 = -4*x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 1 - (24 - 17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3846 - 0?\nAnswer: 3846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1721837 to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1736*115867.\nAnswer: 201145112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5070 and 82641.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/11315*-31)\/(-4).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 802 + -801.9. What is the nearest to -3 in i, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -2466\nAnswer: -739.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 136*n**2 - 196*n + 383. Calculate the remainder when i(2) is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1249 is divided by 74?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2 - (3 + -1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 6*x**2 - 2*x - 11. Let r be i(-6). Find the common denominator of 15 and r - -3 - (-1001)\/(-315).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32483 + 302*m - 32483)*(-2*m**2 + 2*m - 2*m).\nAnswer: -604*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1148\/98 - (11 + -7 + 6)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147347870791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10392 divided by -3464\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 68913708.\nAnswer: 68913707.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1350*b**2*u - 1230*b**2 - 2*b with respect to u.\nAnswer: 1350*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9349 + 1593 = -4*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5891 divided by 7.\nAnswer: -5891\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, u: 2, a: 1, h: 2}. Give prob of picking 2 h and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from {v: 1, b: 5, i: 3, j: 1, t: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 4) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -899097.36 rounded to the nearest 100?\nAnswer: -899100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**3 - 2 + 2 + (-3*l + 4*l - 2*l)*(4*l**2 + 3*l - 3*l))*(-3*l + l - 2*l).\nAnswer: 40*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -114519, -2\/5, 1\/6, 2\/5, -0.04?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/4 (b) -0.2 (c) -0.02 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 125? (a) -1\/3 (b) -9\/4 (c) 0.36 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/((-4)\/2) + 0. Solve 3*i + s*i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 - 81.26. Let o = u + -4.74. What is the third biggest value in -10, o, 5, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*3\/15*-1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45440703?\nAnswer: 3, 7, 11, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 956*o - 1744*o + 519*o**2 + 788*o - 530*o**2.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 - m + 2. Let p(y) = 980*y**2 - 20*y + 40. Calculate 2*p(g) - 40*t(g).\nAnswer: 1840*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -155 + 242. Let c = t - 86.999999727. What is c rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqqraaralr. Give prob of sequence aq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7855\/41786 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i. Suppose 4*y - 20 = -y. Let u(m) = 4 - y + 2*m**2 - m**2. What is u(o(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -108407470?\nAnswer: -108407467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 20*a + 25. Let x be c(-21). Let i(l) = 20*l + x + 37 - 83. Let n(j) = 4*j. Calculate n(i(b)).\nAnswer: 80*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34576.\nAnswer: 2, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 19*k**2 + 19*k - 12. Let b be j(18). Suppose i - b*i = -15. Suppose 5*c = -5*x + 490, -1 + 7 = -i*x. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57\/22 + 12\/11. Suppose 4*r + 20 = v, -6*r + 12 = 42. What is the closest to -0.1 in z, -3\/8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2. Let n(x) = -15*x**2 + 181*x + 3*x**2 - 90*x - 90*x + 82. What is n(i(z))?\nAnswer: -12*z**4 + z**2 + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91349905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 11*o**2 + 5*o - 11. Calculate q(11).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2065*z + 5188*z + 3653*z - 938*z.\nAnswer: 5838*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6*k = -5. Suppose -5*b = -2*m - 0*m + 5, -5*b - 2*m - k = 0. What is the tens digit of (b - 24)\/(-1) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5430 and 54.\nAnswer: 48870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 86 = -34. Let b = q - 0. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9860\/700 - 14)*243 - 21\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 4751 (c) 1\/39 (d) 1 (e) -5 (f) 2 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -508\/3*n**3 - 172*n + 0 - 1028\/3*n**2 + 4\/3*n**4.\nAnswer: 4*n*(n - 129)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**11*f*f**(11\/4)*f*f**13\/(f*f**(11\/2)) assuming f is positive.\nAnswer: f**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 0)*-5 - (-5 + sqrt(700)*2 + sqrt(700) - sqrt(700)))**2.\nAnswer: -700*sqrt(7) + 34325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n - 30*n - 2*t + 54524 = 0, n - 10902 = t. Are 10905 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7679770, 30719094, 69117974, 122876416, 191994426, 276472010?\n\"Answer: h**3 + 7679772*h**2 + h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543.9774 litres to millilitres.\nAnswer: 543977.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*l - d = 269 + 519, 2*l + 3*d = -2*d + 8 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568*r + 13081 + 11408 + 7319 = 0 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 14 = -3*r, 24*r + 2*b = 28*r - 18. Solve 0 = 3*t - 4*t + r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1926 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 0*f = -3*f - 8, 3*m - 265*f + 277*f + 60 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33340813 to the power of 1\/2, to the nearest integer?\nAnswer: 5774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -88 (c) -2\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + (-10)\/(-4))*22\/(-33). Let l be (8*(-6)\/24)\/(n + 2). Is 45 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11*z - 65. Let k be p(6). Which is the closest to k? (a) 2\/9 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52293221.\nAnswer: 1399, 37379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 323*h**2 + 317*h + 1016. What is o(324)?\nAnswer: -1252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven halves of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -1503284?\nAnswer: -1503284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 10*b**2 + 2*b**2)*(0*b + 5*b**2 + 0*b).\nAnswer: -40*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 6 + -7 + 9 + -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yui when three letters picked without replacement from {q: 1, c: 3, i: 1, o: 2, y: 5, u: 1}?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 3980.\nAnswer: 3979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 5*z**2 - 7*z + 4. Determine h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-26)*-3)\/((-158)\/632))\/(-2)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072356 to the power of 1\/2, to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 1:53 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 4*r + 1. Let c be s(-3). Suppose 0 = m - 5, -v + m - 3*m = -c. Let u(t) = v*t + 1 - 5*t + 1. Calculate u(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1636, 6920, 16366, 30496, 49832, 74896?\n\"Answer: 87*b**3 + 1559*b**2 - 2*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-1)\/((-1)\/3). Suppose 3*b - 21 = -f*r + 29, b = 2*r + 13. Is b\/25 - 104\/(-10) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*n + n. Let x be ((-3)\/(-5))\/(n\/45). Put x, 0.1, 1 in decreasing order.\nAnswer: 1, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 2, -2\/9, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*i**2 - 70*i**2 + 1985199 - 1985199.\nAnswer: -166*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -559\/10 + 56. Which is the second smallest value? (a) 8 (b) z (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(24*d - 15*d - 17*d + 2*d + 0*d - d + (3*d - 3*d + 2*d)*(2 - 1 + 2)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31, 34, 39, 46, 55, 66?\n\"Answer: c**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 16, -5*o - 817184 + 2051259 = -5*b. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.09*2.\nAnswer: 4.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 2, -1, 145?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 116452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 447 - 53. Is h a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1557 - -1595. Which is greater: 34 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-14)\/(-147)*-28)\/(4\/(-15810))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 0 + 0*g**3 + 0*g + 0*g**4 + 1\/30*g**5 + 3*g**2. Let c(y) = 3*y. Give l(c(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-178)\/(-4))\/(((-60)\/(-320))\/((-51)\/136)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 726030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u**2 + 5*u - 70. Let k(j) = 2*j**2 - j + 14. Let b(g) = -5*k(g) - o(g). Let l(t) = t + 15. Calculate l(b(x)).\nAnswer: -19*x**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.31 + 0.31. Let o = j + 11. Sort 0.2, o, 2 in ascending order.\nAnswer: o, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1037*l**4 + 38*l + 239 wrt l.\nAnswer: 12444*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -220621 to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a55 (base 11) in base 16?\nAnswer: 4f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 846 - 595. Let t = o - 250.9. Which is the second biggest value? (a) t (b) -18 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 7*a**2 + 7*a - 2. Let g be c(6). Suppose -g = -f - 0. Solve -2*i + 6*i - 32 = -f*t, 0 = 3*i + 2*t - 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 238571941?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/2044 and -67\/6.\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.013 + -9.966. Let s = -0.8 - 0.2. Is s bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 2*s**2 + 5*s + 4. Let p be y(-2). Suppose -k = 4*l + 3, k + l + p = 1. Let x(z) = -252*z + 28. Let n be x(k). Round n to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28525145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 18*x + 28*x + 14*x as n*x + t and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 1:15 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 295053 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 6cc5?\nAnswer: -6cc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 - 98 = -2*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a - 13 - 2*a - a + 0*a. Is k(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -29, -1 in descending order.\nAnswer: -1, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 29.9 and 14411634882.\nAnswer: 14411634911.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 - 89*o**2 + 55*o - 322. What is a(-31)?\nAnswer: 1817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*j = -1229 + 905 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 7 + 23 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 5:12 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w - 22*w - 11*w + 24*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2 - 2)*(-18 + 16 - 31) + 3*g + 0*g - 2*g - 2*g + g - 3*g - 5*g + g + 3*g + (4*g - 2*g + 0*g)*(-3 - 3 + 4) - 5*g + 4*g + 3*g.\nAnswer: 60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 - p + 2. Let o(c) = -13*c**2 - 3*c + 9. Let n(d) = -2*o(d) + 9*x(d). Calculate n(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6070051708 to the nearest integer?\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u + 119*d - 124*d - 23, -3*u + 2*d = 34 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**2\/11 + 192*j + 1131554\/11 = 0.\nAnswer: -391, 1447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (57 + 66 + j**2 - 3*j**2)*(-2*j + 5*j - 5*j) in the form c*j + d*j**3 + n + h*j**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -159*i**3 - 8*i - 8. What is d(-1)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6263*c + 7292. Does 36 divide g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 20. Is y\/(-2) - (8985\/(-10) - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -11*z**8\/560 - z**5\/10 - 8*z**3 + 5. Let n(t) be the third derivative of y(t). Find the second derivative of n(f) wrt f.\nAnswer: -396*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 56 = 2*k, -7*o - 103*k + 55 = -98*k for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -472, 1258, 2988, 4718?\n\"Answer: 1730*r - 2202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.72 from 35.\nAnswer: 34.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 6*n**2 + n + 10. Determine o(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3632104124 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1616 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 509.6249 weeks in hours?\nAnswer: 85616.9832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-7)*x\/((x\/((x\/(((x\/(x\/(x\/(x*x**(-12)))))\/x*x)\/x)*x)\/x))\/x)*x assuming x is positive.\nAnswer: x**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**3\/3 + 4984*k**2\/3 - 73796*k\/3 - 78784\/3 = 0.\nAnswer: -1, 16, 1231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55186306 a multiple of 662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r + 28. Calculate h(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -64*l**2 + 13*l - 13. What is j(1)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-8))\/z*z**(1\/5)*z)**(-33) assuming z is positive.\nAnswer: z**(1122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1286, 17, 3\/506, -1\/2?\nAnswer: 3\/506","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 5) to base 7.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -995.3 - -992.3. Which is the smallest value? (a) 6 (b) -4 (c) 0.37 (d) f (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16013, 16007, 15997, 15983, 15965, 15943, 15917?\n\"Answer: -2*x**2 + 16015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1218955 >= -1218628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100.5 - -92. Let y = b + 8. Sort y, 70, -3\/7, 3\/5 in increasing order.\nAnswer: y, -3\/7, 3\/5, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 241 + 113. Let b = -8140\/23 + a. Sort 2, b, 0.4 in decreasing order.\nAnswer: 2, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 16 = -6*t. Let b(g) be the second derivative of -g**5\/20 - g**4\/6 + g**3 + 3*g**2\/2 + 2*g. List the prime factors of b(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 284 + -282. Suppose 0 = -o + 4 - 5. Let y be (18\/(-15))\/o*5. Solve 4*m - a + 5 = -y, -m + a = d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**3\/19 - 3200*v**2\/19 + 4082744*v\/19 - 429088 = 0?\nAnswer: -2438, 2, 836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 0*o - 3*o)*(2 - 2 + 2*o**2) + 1527*o**2 - 9*o**3 + 1 - 1529*o**2 + 0*o**3 to i + h*o + l*o**2 + b*o**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1637952 and -91\/228.\nAnswer: 1637952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*q + 101*q**2 - 356*q.\nAnswer: 101*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + -227)\/(1736\/31) - 8\/(-14).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 3*u**2 + 10*u + 19. Let t(r) = 3*r**3 + 10*r**2 + 30*r + 58. Let y(l) = -8*s(l) + 3*t(l). Give y(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1111 and 3737?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5187 = 16*n - 419. Let c = n - -298. Let s be 2*(0 + (1 - 0)). Solve -s*w - 3 = v - c*v, -3*w = -v - 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12657, -11, 5 in descending order.\nAnswer: 12657, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -86323? (a) 1 (b) 0.1 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -853, -7, 285 in descending order.\nAnswer: 285, -7, -853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 24\/(24\/6). What is the tens digit of 2\/(-8)*x + 7998\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/3 + 10 + 1. Suppose -2*t = 52*y - 54*y - 44, -t = 7*y + 58. Solve 3*k + 3*i = -t, 0 = k - 3*k + 5*i + v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -19. Suppose -4*v + 9 = -3*m + j*m, -3 = -2*v + m. Solve -v*i + 3 = 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51826630.\nAnswer: 2, 5, 5182663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h + 716 = -s, 5*s - 1460 = -4*h. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -356 by -4.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/6 and -57\/688.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1*2*((-12)\/2)\/(-12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*o = 2*o - 1516, -4*w + 4*o = -1220. Let i = 435 - w. List the prime factors of i.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2464 + -4.6757. Let y = 2.37 + f. Round y to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 9:59 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007021 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334*p**2 - 168*p**2 - 168*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 35079 divided by 4\nAnswer: 35079\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 410883 - -3?\nAnswer: 410886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a + 9. Let d be k(7). What is the units digit of (-20)\/d + (-1)\/((-6)\/34)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -469.96 - -9.96. Let k = -459.9998956 - f. Round k to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3456 by -24.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3467 = 3*n - 5*d, 3*n + 9*d - 5*d - 3458 = 0. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2659 = 343. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 407398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-38 - 10) - -50?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -124, -194, -280, -388?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 1760724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 55 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149322 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12, 17, 22, 27, 32?\n\"Answer: 5*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3488 and 2180.\nAnswer: 17440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96937 - 96936.89579905. Let z = -0.1042 + k. Round z to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 14*i. Let f(w) = 4*w. Determine f(d(p)).\nAnswer: -4*p**2 - 56*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q**2 + 26*q - 106. Let o(k) = k**2 - k + 1. Let r(p) = d(p) + 6*o(p). Let r(c) = 0. Calculate c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -318199 (base 10) to base 8\nAnswer: -1155367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 450 - 185 = 0. Let v = d - 112. Solve 3*k = 3*m - 3 - v, 2*k = -m - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 3*d + 0*d. Let x(z) be the third derivative of z**6\/180 - 5*z**3 - 42*z**2. Let q(p) be the first derivative of x(p). Calculate q(h(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - d = 44, 0 = 62*j - 59*j + 2*d - 29 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.615 rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8752015414 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a05 + -2?\nAnswer: -a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5174336789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 3*s**2 - s - 3. Let b(n) = -n - 12. Let u be b(-9). Let g be l(u). Let j = -1 - -5. Solve g = -2*a - 0*a - j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 1) + -24 + (-16 - -18) + 13 + 78.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/40 - 30\/12*1. Let t = 2.2 + -2. What is the nearest to -0.1 in t, 5, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -4967\nAnswer: -1490.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 10010101100?\nAnswer: 10010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252723?\nAnswer: 3, 61, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(-m - 1 + 1)*(6 - 3 - 2) - 1690*m + 3387*m - 1681*m + (1 - 1 - 1)*(-2*m + 5*m + 0*m) to o + z*m and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 64878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -73*w - 14. Let l(f) = 26*f + 5. Let q(r) = -4*k(r) - 11*l(r). What is q(4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 393*m - 703. What is a(2)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 11*t = 3*l, -l - 10 = -t. Solve -27 = 6*p - t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3768.994172 + 3769. What is o rounded to four dps?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 2.7, -4, 0.2?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3721303.\nAnswer: 3721303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (15 + -14 + -22 - -10)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-18)*(59 - 65).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: db2 (base 15) to base 3\nAnswer: 11020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 41166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 259988946 or 259988945?\nAnswer: 259988945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39054070 by -1.\nAnswer: 39054070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-18)*(-33)\/77)\/((261\/(-648))\/29)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzijuszizs. Give prob of picking 1 j, 1 u, and 1 i.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and 0.7.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*i - 10 = 0, 13*r - 8 = 11*r - 3*i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 3\/2, 7, -0.2, 2\/3, 34\/11 in decreasing order.\nAnswer: 7, 34\/11, 3\/2, 2\/3, -0.2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5.011. What is i rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083 bigger than 1082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 3*w**2 - 2*w - 2. Let g be z(-3). Let j = g - -1. Suppose b = j*b. Solve -36 = -5*i - 5*l + 4, 2*l - 6 = b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 258 - 212. What is the remainder when l is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -3\/2 (b) -1\/11 (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151696, 606271, 1363896, 2424571, 3788296, 5455071?\nAnswer: 7424896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 545072310 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 3*j**2 + 4*j. Let w be f(4). Let y be (-1)\/(-1)*(0 - -2). Suppose w + y = r. Calculate the highest common divisor of r and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 12*u - 7. Let t(n) be the first derivative of 11*n**2\/2 - 6*n - 781. Give 4*h(v) - 5*t(v).\nAnswer: -7*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1550, 3, -1, -3, -12 in decreasing order.\nAnswer: 3, -1, -3, -12, -1550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 185298*i**2 - 204674*i wrt i.\nAnswer: 370596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.87 - 8.87. Put 0.16, 2\/19, p, 1\/5 in ascending order.\nAnswer: p, 2\/19, 0.16, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c**2 - 36*c**2 + 94*c**2.\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*s + 3214*d**3 + d**2*s - 5*d**2 + d + 173151*s wrt d.\nAnswer: -6*d*s + 19284*d + 2*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1985544 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*n**4 + 9*n**4 - 20*n**4 - 2*n**4 + n**2 - n**2 + (2*n + 3 - 3)*(-n**3 - 2*n**3 + n**3) in the form v + s*n**4 + l*n**2 + q*n**3 + b*n and give s.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + g**3 + (-88 - 262 - 8 + g)*(g**2 + 5*g**2 - 4*g**2).\nAnswer: 3*g**3 - 716*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3970 (base 10) to base 4\nAnswer: -332002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -160*y**2 - 6254*y - 27690. Give x(-34).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 + -79. Let p = 163\/7 + q. Let m = 11152 - 11154. Which is the second biggest value? (a) -0.5 (b) p (c) 3\/8 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(80)*2 + 2 + sqrt(80) - sqrt(80)*2*1 - (-2*sqrt(80) + 2 + sqrt(80) + 0 + -1 + sqrt(80) + 4)))**2.\nAnswer: -864*sqrt(5) + 3204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - ((-1 - 0) + 2). Let u be 183\/122*(-2)\/30. Which is the fourth smallest value? (a) s (b) -2\/17 (c) u (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286443, 574171, 863183, 1153479?\nAnswer: 1445059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*k**4 - 339*k**2 - 234*k + 66908561.\nAnswer: 28*k**3 - 678*k - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1886 and 4692?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1210 and 13\/330.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -384 - -691. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + w - 2. Let a be -2 - (-5)\/(4 - -1). Let r(p) = 4*p**2 + 26*p + 30. Let k(z) = a*r(z) - 2*c(z). Let k(b) = 0. Calculate b.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c**(2\/7)*c))**(-47))**(-42) assuming c is positive.\nAnswer: c**(-564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1872) - sqrt(52) - (sqrt(52) - sqrt(156)\/sqrt(3))*-2)\/(sqrt(4) + sqrt(8)\/(sqrt(2)*-3) - sqrt(8)\/(sqrt(8) + sqrt(2))).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*i**3*p - 3*i**3 - i*p + 30*i + 4*p wrt i?\nAnswer: 204*i*p - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 30*a**2 + 61*a + 47. Let d be r(28). Let v(o) = 8*o**2 - o. Let m be v(1). Suppose 2*i = d + m. List the prime factors of i.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b + 7*b - 1455. Let l = b + -2. Suppose -4*x + 755 - l = 0. Calculate the highest common factor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/(6\/24) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/9*(-3 - (-3)\/(-2)). Let n = 15 + p. Let s be (1 - n)\/((2 + -3)\/(-10)). Calculate the greatest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -12. Let d = t + -14. List the prime factors of d*(-16 - (-2)\/1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**3\/3 + 5*k**2\/2 + 4*k - 4. Let p be i(5). Suppose -3*g - n = -13, 5*g = 2*g + 4*n - 7. Solve -p = -g*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 638, 1284, 1932, 2582, 3234, 3888?\nAnswer: 4544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*j - 1 = g + 100*j, 0 = -3*g - j + 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-1\/4)*b*b)**31\/(b**(-4\/5)*b*b**(1\/9)) assuming b is positive.\nAnswer: b**(20869\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.85 + -7.85. Which is the closest to 1\/4? (a) -5 (b) 1\/4 (c) o (d) -9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.009 + 0.009. Let s = v + 27.15. Which is bigger: s or -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 9. Suppose 21 + 4 = c*r. Suppose 5*q + r = -3*k, -13 = -2*q - 2*q + k. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1200596 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u + 121 = -2*j, 0 = -4*u + 5*j + 481. Suppose u = 2*o + 5*a, 3*a - 92 = -2*o + 33. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9078 - 183.\nAnswer: 8895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)\/y*y)**(-7\/2)*y\/(y\/y**(-2\/9))*y*y**(-1\/6)\/y*y)**(-1\/6) assuming y is positive.\nAnswer: y**(-137\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eww when three letters picked without replacement from eeseeeeweeewwes.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/1 + -3 + 4. Let k be j*(0 + (-1)\/(-2)). Suppose -w + 10 = -k*w. Calculate the highest common divisor of 40 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1312400610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -66, -230, -568, -1134, -1982?\n\"Answer: -9*g**3 - 33*g**2 - 2*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, m: 14}. What is prob of sequence mmgm?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 8*w + 7. Let g be o(7). Let s(r) be the second derivative of r**3\/3 - 5*r**2 + 3*r. Let f be s(7). Solve -d = y, d + g*d - f = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/(-3*2\/12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 - 29*z - 3. Let h(k) = -2*k**2 + 20*k + 5. Let w(l) = -4*h(l) - 3*m(l). Calculate w(5).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -9. Suppose 0 = 4*v - v - z*f - 9, -2*v - 5*f + 27 = 0. Calculate the remainder when 1 - (0 + (-20)\/2) is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10537 greater than 10534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*n + 49*n**2 - 131*n**2 - 771*n**3 - 66*n**2 wrt n?\nAnswer: -4626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 20*l**2 - 44*l + 87. Let d be c(22). Solve 18*v = -3 - d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2373 + 2487. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 4) to base 8\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 2. Let w(v) = 6*v**2 - 9*v - 11. Let l be w(-1). Suppose 3*j - l*h = -23, 4*h = s*j - h + 45. Is -27\/2 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 33*z**2 - 233*z + 55. Determine j(-39).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -10*v + 445. What is h(45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 72, 162, 298, 486, 732?\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -167160\/59 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + 1 + (sqrt(180) - ((sqrt(180) - sqrt(180)*-2) + sqrt(180))) + -4 + -4 + -2 + sqrt(180)*1 + 0)*-2)**2.\nAnswer: 24000*sqrt(5) + 82000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -1. Which is the second smallest value? (a) -2\/5 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8282 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336827622?\nAnswer: 2, 3, 127, 442031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 525052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2613430 (base 7) in base 2?\nAnswer: -1010010111101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b86 - 3?\nAnswer: -b89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1695.893889 - 1695.9. Round b to 4 decimal places.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 9616?\nAnswer: 9616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 2. Let u(h) = -h**2 + 7*h + 7. Let n be u(8). Let j be a(n). Let d(t) = -5*t**2. Give d(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 3605.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/(-26)*(-20)\/6. Let z(r) = -r**2 + 4*r + 10. Let j be z(n). Suppose 4*s - 5*s + 59 = -4*m, 2*s = j*m + 106. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/54 and 3\/((-4941)\/(-2499)) + -2*12\/16.\nAnswer: 3294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 730925 and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5921759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a year in months?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 10. Let d(h) = h**2 - 4*h - 10. Let r be d(5). Let g be w(r). Suppose -52 - 133 = -g*y. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 85 + 14 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536002 (base 7) in base 11?\nAnswer: 134540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6646748123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - r + 0*r**3 + r**3 + 4*r + 8*r in the form h + j*r**3 + n*r**2 + c*r and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 + 3*y**2 + 2*y. Let r = -4 + 3. Suppose -2597*f - 21 = -2604*f. Let s(u) = u**3 + u**2 + u. Determine f*s(m) + r*k(m).\nAnswer: m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18031, -36017, -54003, -71989, -89975?\n\"Answer: -17986*z - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 2*g - 1, -2*m = -3*m - 5*g - 23 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*u - 3493 + 3613 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36786.24 millilitres in litres?\nAnswer: 36.78624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1979 - -3034. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 + 7*i**4 - 2*i**4 + (0 + 0 - 2*i**3)*(-5*i + 2*i + 4*i) + (4*i - 4*i - 2*i**3)*(i - 3 + 3) + 5 + i**4 - 5.\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 5099*h - 5104*h + 6, -n - 4*h = 5 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) + 76\/48*9. Suppose 0 = -4*h + 5*j - 8, -3*j + k = 2. Calculate the remainder when 7 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153)\/45 - 5\/((-15)\/12).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 1\/(-1 + 2). Suppose -3*x + p*x + 3 = 0. Find the third derivative of 2*t**2 - 8*t**x + 6*t**3 - 4*t**2 wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 8*f + 29 = 74, j - 33 = 5*f. Which is the second biggest value? (a) -13\/7 (b) j (c) 0.03 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.022?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -448650*p**2 - 34*p - 605.\nAnswer: -897300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/177323 - 16487119\/173776540. Find the common denominator of r and 107\/735.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -16*l + 112. Suppose -2*b = -l*b + 700. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3 + 3*h**3 - 52*h**2 + 5*h + 111*h**2 - 61*h**2. Let u(q) = -21*q - 13*q**3 - 10 + 13 + 59*q**2 + 10 - 50*q**2. Calculate 9*d(t) + 2*u(t).\nAnswer: t**3 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 1792, 25 in ascending order.\nAnswer: -4, 1, 25, 1792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*j - 112 = -4*x, -7*x - 2 = -9*x + j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 236 + 8 - -14 - 8. Is s not equal to 247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1625 - -4?\nAnswer: -1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaaznaasns. Give prob of sequence ss.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/19, -14, -11?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/26 and -25\/53092?\nAnswer: 53092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 171665588 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -11*(-11)\/121.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18023\/126063 - 2\/18009. Solve 1\/7*p**2 + c*p - 2\/7 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**34)**(-3\/8)\/((y**(-3\/4)*y**(-5))\/(y**(-2)*y**0)) assuming y is positive.\nAnswer: y**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 + 79. Solve 4*w - t = 6*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w**2 + 34*w - 71*w**2 - 34*w + 10*w**2 + 18*w**2.\nAnswer: -23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 1 + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35106.23mg in micrograms?\nAnswer: 35106230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6382478 is divided by 143?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43, 404, 1081, 2074, 3383?\n\"Answer: 158*k**2 - 113*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.25975 and 1.9.\nAnswer: 0.64025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - a + 3. Suppose 0 = 2*q + 9 + 7. Let y = q + 4. List the prime factors of p(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 108, 154, 182, 186, 160, 98, -6?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-247)\/3952)\/(7\/(-416))?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110036685 divided by 55?\nAnswer: 2000667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4))**30\/(v*(((v\/v**(-2))\/v*v)\/v)\/v*v*v**(1\/5)) assuming v is positive.\nAnswer: v**(43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 63, -2, 352 in ascending order.\nAnswer: -2, 10, 63, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7812 - 7812.1. Is z bigger than -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**3 - 187835*u**2 - 1765507280*u - 26440363200 = 0. What is u?\nAnswer: -18776, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fddd when four letters picked without replacement from dfddddddf?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - 472\/40)*10. Let c = n + 184. What is the third biggest value in -0.2, c, -201?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1072, -1072, -1074, -1078, -1084, -1092?\nAnswer: -1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-5) - -3*1 - -2. Let i(p) = 2*p**2 - 2*p + 10. What is the tens digit of i(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*c - 185*c = -18*c + 106*c + 1785 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04 and -58.6.\nAnswer: -58.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -789379*q**2 - 331360*q?\nAnswer: -1578758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12430 + 0?\nAnswer: -12430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o. Let l be (5*-2)\/(4\/(-2)). Let r be (24\/10 + -2)*l. Let w be i(r). What is the second biggest value in -4, w, -3\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170542551583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98\/35)\/(((-20)\/25)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164618*-0.4.\nAnswer: 65847.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-39)\/15) + (-9 - -5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106613 - -168054. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -792, 7 in ascending order.\nAnswer: -792, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 8. What are the prime factors of (-1)\/(q\/16)*15?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17736734640 from 47.\nAnswer: 17736734687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 6:28 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2599?\nAnswer: 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 13) to base 6\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + h**2 + 0*h**2)*(-3 + 2 + 0) + 2*h**2 - 4*h**2 + 3*h**2 + 4*h**2 + h + 3*h**2 - 5*h**2.\nAnswer: 4*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 5) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2*w**3 + 1\/2*w**4 - 1\/2*w**2 - 3\/2*w + 0 = 0. Calculate w.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4 (b) 0.08051 (c) 0 (d) 3 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 16 = -6*l. Suppose -4*q - 7 = -3*k, -q + l = 2*q + 2*k. Calculate the common denominator of -103\/36 and (-2 + (-29)\/(-15))*(-261)\/q.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666721 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from ddzzdzddddddzdddzz?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:48 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.99607 + -318.\nAnswer: -318.99607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 657107 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, r: 3, b: 2}. Give prob of sequence bb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10415 or -53?\nAnswer: -10415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -689c5 (base 15) to base 11.\nAnswer: -208181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 479.0187 - 479. Let q = -0.4187 + p. Sort -395, q, -0.1 in descending order.\nAnswer: -0.1, q, -395","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 827761.9 micrograms?\nAnswer: 0.0000008277619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*j - 16 = -361*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3603 - -1850. Let d = x - -1753.001383. What is d rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + (1 - -59) + 33 + -79 + 43.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-15)*j**(-1\/4))**3 assuming j is positive.\nAnswer: j**(189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4132 + -124?\nAnswer: 4008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x. Let b(u) = -u. Let k(z) = 17*b(z) + 6*h(z). Suppose 6*n = 2*n - 4. Determine k(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032.89008 rounded to zero decimal places?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 5*u + 12 = 0. Solve -3*r = 4*y + 23, r + 11 = -u*y - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1193043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 0 - 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -7, -5 in ascending order.\nAnswer: -13, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 1\/180*c**5 + 1\/180*c**6 + 0 + 4\/3*c**3 + 2*c + 0*c**2 + 0*c**4. Let f(y) be the second derivative of p(y). Factor f(l).\nAnswer: 2*l*(3*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 3*j + 3*j)*(-14*j - 5*j - 12*j).\nAnswer: -31*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6875\/133000 - 10\/95)*(-4)\/(-6)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 12:24 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v = -31 + 591 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 19*l + 63. What is f(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 13434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40260572 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65263314*i**2 + 63956014*i.\nAnswer: 130526628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 110 = -12*d + 30*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14, 0.5, -0.18, 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 19*r - 15*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3640, 7706, 12190, 17086, 22388, 28090?\nAnswer: 34186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/13*g**3 + 4\/13*g**4 + 0*g + 2\/13*g**5 + 0*g**2 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**0))**(2\/17)*(v\/(v\/v**5))\/v*v**(2\/3) assuming v is positive.\nAnswer: v**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/251290 and 59\/359538.\nAnswer: 23369970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.073 + 0.0794. Round b to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 3, -2\/3, -1, 5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*o**3*v**3 - 3799*o**3*v**2 + 108*o**2*v**4 wrt v.\nAnswer: 186*o**3 + 2592*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -273.6? (a) -9 (b) 2 (c) 1 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -404 + -2154225?\nAnswer: -2154632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/395?\nAnswer: -2\/395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*z = -48*z - 4*c - 18, -3*z + 22 = -4*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183781*h**5*v - 4*h**4*v**3 - h**2*v**2 - 16*h*v**3 + 3*h*v**2 + 8*v**2 + 9*v wrt h?\nAnswer: -11026860*h**2*v - 96*h*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 202 + -191. What is w in b*w + 5*w**3 + 5*w**2 - 47*w + 26*w = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246993 divided by -51?\nAnswer: 4843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 340 and 604180.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/2)\/1 - 3. Sort i, -2\/5, 4 in ascending order.\nAnswer: i, -2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -32*k + 5610. Let x = 176 - k. What is the remainder when 21 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.19? (a) 3\/2 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (15 - 3) + -2 + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 - 0.13. Let v = o - 0.1. Let p = v - -0.09999972. What is p rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11012 + 0?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**3 - 14*i**2 - 22*i + 8. Give p(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -4, 0.783?\nAnswer: 0.783","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1194851 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1529*w + 1532*w = 1071. What is the greatest common factor of w and 306?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 138743336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2013024 and 4992?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1544 - -2?\nAnswer: -1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 199550.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1184 + -1181. Find x, given that -4\/11*x**z - 6\/11*x**2 + 6\/11*x + 4\/11 = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = f. Suppose -3*v + 24 = -4*k, -2*v + 20 = k - f*k. Solve -v = -0*x + 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7 = 2. What is the third smallest value in d, -5, -0.03?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**2 - 2*c - 4. Let o(f) = -6*f**2 - 3*f - 5. Let z be (0 - -2)*(-24)\/(-16). Give z*o(d) - 4*m(d).\nAnswer: 2*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.1. Let h = -27\/58 + -1\/29. What is the nearest to h in l, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n + 56. Let s(f) = -147*f - 894. Give -33*o(m) - 2*s(m).\nAnswer: -3*m - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s = 0. Suppose c + 3 = -3*d, 2*d = c + c - 2. Solve 2*n + c*n - 2 = s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h*o**2 - 3*h*o*w**3 + 3*h*o*w + 2*h*w**3 - 5*h*w**2 - 3441*o**2*w**3 + 2*w**3 wrt o.\nAnswer: 2*h - 6882*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -14*b - 7. Let s(w) = -3*w - 2. Let c(i) = 2*m(i) - 9*s(i). Calculate c(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*g - 74, -5*p - 5*g = -6*p + 2. Let m = -128 + 893\/7. Sort m, -0.4, p in ascending order.\nAnswer: p, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3749 - 0.0251. Put 3, o, -1 in descending order.\nAnswer: 3, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6329.\nAnswer: 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307126218?\nAnswer: 2, 3, 7, 607, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {o: 1, w: 5, c: 1, e: 1, y: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10878*x - 5*x**3 - 11961*x + 1083*x.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -6. Let n = 0 + -0.2. What is the nearest to p in -4\/5, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329\/28 + (-60)\/80 + -106.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 17*p. Let i(r) = -1414221*r. What is x(i(l))?\nAnswer: -24041757*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w**2 + 12*w + 144. Let n be ((-2)\/(40\/15))\/((-2)\/(-32)). What is the hundreds digit of i(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4396 - 4395.994626. Let t = -5.005 + 5. Let s = t + w. Round s to 5 decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9898445189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/9 (b) 2\/13 (c) 5\/2 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*v, -x - 72 = 3*x - v. Sort x, 4, 3, -2, -4.\nAnswer: x, -4, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 289.\nAnswer: -288.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avatayy. What is prob of sequence ayt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14128, -14069, -13970, -13831, -13652?\nAnswer: -13433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.33409213 to 2 decimal places.\nAnswer: 1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 2. Suppose -4*w + 86 = -v*j, 5*j - w + 90 = 4*w. Let x be 2 - -2*j\/8. Which is the smallest value? (a) -0.2 (b) 0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 5*p**4\/24 + 3*p**2 - 1697. Let k(i) = 60*i - 7. Calculate n(k(q)).\nAnswer: 300*q - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 2 + sqrt(396) + sqrt(396) + 0 + 4)**2 + -2*(2 + sqrt(396))**2 + 5.\nAnswer: 168*sqrt(11) + 2805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1912, 2, 18 in decreasing order.\nAnswer: 18, 2, -1912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 109*i**3 + 2393*i**2 - 107*i + 62. Determine l(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + -5)*3\/(-3). Let d(p) = -p**2 + 9*p - 3. Calculate the smallest common multiple of 10 and d(m).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/((-20)\/(-6)))\/((-2)\/(-4)). Suppose -83*l + 84*l - m = 0. Solve 0 = -j - l + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-4) + 20\/((-30)\/(-6)))*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628478.\nAnswer: 2, 314239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.7846 rounded to the nearest integer?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2841 (b) 0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -66041.29 rounded to the nearest ten?\nAnswer: -66040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.269 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h + 31*h = -630. Suppose 9*r + 15 = h. Solve 4*u - 20 = 4*k, -r*k + k + 2 = 4*u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 6 = 2*l. Suppose -5*n + 0 = -50. Suppose 16 = n*j - 4. Solve -j*v = -l, 3*o + 3*v - 5*v = 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18697 is divided by 167.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43107, -42457, -41807, -41157?\nAnswer: -40507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4584655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.11 + 0.11. Let i be (-1)\/4 + 91\/140. Which is the smallest value? (a) i (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -4*c - 5*l + 59, 64 = 4*c + 4*l. Let u be 3\/(-9) + (-1330)\/c. Is u\/(2 - (-12)\/16*-4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 8 = d + 10*c, 5*d + c = 22. Find the third derivative of 8*l**5 - 12*l**2 - l**4 - 54*l**2 + l**4 + 15*l**d wrt l.\nAnswer: 1380*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3906*d - 5052*d - 9005*d - 32794 + 103851 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 0*l + 0*l**2 + 3\/7*l**7 + 0*l**4 - 23\/3*l**3 + 3 + 0*l**6 + 0*l**5. Find the third derivative of r(n) wrt n.\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1538, 1699, 1810, 1847, 1786, 1603?\n\"Answer: -4*d**3 - d**2 + 192*d + 1351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/48 and -127\/23400.\nAnswer: 46800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 29754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5450.058 hours?\nAnswer: 19620208800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + l - 4*l)*(11 - 7 - 5 + 197*l) to the form f*l + q + b*l**2 and give b.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-35) - 1) + 2\/7. Which is the closest to 0.1? (a) -0.2 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n - 90. Let z(c) = c + 30. Let q(f) = -3*h(f) - 10*z(f). Calculate the lowest common multiple of q(17) and (48\/(-10))\/(4\/(-10)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*j + 1, -5*w + j + 0*j = -7. Let y be w\/(-8) - (-231)\/12. Suppose 2*r + 1 = -2*f - 3, 5*r + y = 4*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2133, -4136, -6077, -7950, -9749, -11468, -13101?\n\"Answer: f**3 + 25*f**2 - 2085*f - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-10)\/5 + -2. Solve -4*g + 15 = -3*q - 13, -3*g - 4*q - 4 = a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t*t**(-9)*t*t))\/t*t))\/t**(-3))**(7\/5) assuming t is positive.\nAnswer: t**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44079245 and 62970350.\nAnswer: 440792450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - -27) + -41 + 44\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/175*-2*(-10)\/(-2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 9*z + 14. Let n be f(7). Let s(y) be the third derivative of n*y**3 + 0 + 0*y + 1\/60*y**5 - 1\/24*y**4 + y**2. Determine k so that s(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8322, 8277, 8202, 8097?\nAnswer: 7962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 49*l**5\/5 - 12747*l**4\/5 - 259103*l**3\/5 + 72231*l**2 + 980782*l\/5 - 270072 = 0.\nAnswer: -20, -2, 11\/7, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73135 or -73150?\nAnswer: -73150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -12.9. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1022782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 + 21*q + 5. Let t be d(7). Suppose -2*w = 3*z - 4114, -688 = z + t*w - 2081. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**6 - r. Let d(j) = -29*j**6 - 13*j**2 - 4*j. Let l(v) = -d(v) + 4*p(v). Find the third derivative of l(n) wrt n.\nAnswer: 3960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 47. Let n be f(-49). Let y = 0.3 - -0.2. Let k(p) = -2*p - 11. Let d be k(-4). Put n, 8, y, d in increasing order.\nAnswer: d, n, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 2. Let h = 84 - 86. Give g(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4492 is divided by 350.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -46\/13, 0.5, -5, 0.02, -0.1, -3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2996 = -3729*b + 3622*b for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lji when three letters picked without replacement from {l: 1, j: 1, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**2 + 11\/24*o**4 + 1\/60*o**5 + 11\/6*o**3 + 0 + 5*o. Suppose 7*p = 3*p - 40. Determine l(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 14 + 8*c**3 - 6*c - 5*c**2 + 6*c + c as f + o*c + x*c**3 + w*c**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from jffufuffnffffjufu?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -163\/5 (c) 2\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*n - 24, -2*g + 5*n - 2 = -29. Suppose 2*f + g = 143. Suppose i + 52 = 4*j, 2*i = -5*j + 3*i + f. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -14. What are the prime factors of ((-18)\/m)\/((-21)\/(-112))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*k = k + 2180, -10968 = -5*m - 2*k. Let y = m - 1346. Suppose 2*g - y = -3*o + 1033, 1271 = 2*o + 5*g. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3332 + -3336. Which is greater: 3\/2 or h?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/5259 and 11\/40319.\nAnswer: 120957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b734 (base 15) to base 9\nAnswer: 58134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34107?\nAnswer: 3, 11369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -0.2, 4, -1\/6 in increasing order.\nAnswer: -0.2, -2\/11, -1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1265476 is divided by 458?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20327 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, m: 3, w: 1, s: 3}. Give prob of picking 2 s and 2 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290, 554, 816, 1076?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from fwvwjwg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 665462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 281300 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7686 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (3\/(-3) + -19). Suppose -5*c + q = 5*k, -2*c = -2*k - 0*c. Suppose -4*g - 36 = -5*x, k*g - 5*x + 9 = -19. Sort 2\/7, -2\/11, g.\nAnswer: g, -2\/11, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -16\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1974006027?\nAnswer: 3, 7, 23, 89, 15307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460422.\nAnswer: 2, 3, 25579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2 - 832*f - 86510 = 0. What is f?\nAnswer: -211, -205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f + 2. Let x be k(-2). Suppose 3*g + d - x = 22, 2*d + 20 = g. What is the remainder when 45 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 813?\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8052 and 4880.\nAnswer: 161040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -574389 + 0.1?\nAnswer: -574388.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(27\/5))\/((r**6*r)\/r) assuming r is positive.\nAnswer: r**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*c = -4*c + 8, 3*c = -15. Is (4 - 4) + 1151\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228153.5 rounded to the nearest 1000?\nAnswer: 228000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425798.\nAnswer: 2, 211, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*(-2*sqrt(209) + sqrt(209)) + sqrt(209))\/(sqrt(33)\/(sqrt(3) - sqrt(3)*-3) + sqrt(11) - sqrt(11)))**2.\nAnswer: 3648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(8)*-4) - sqrt(468)*2.\nAnswer: -49*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1144657769?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-45))\/(886\/2215))\/1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 3) to base 15\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -137877\/163 or 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163 + 235. Let a = -359\/5 + v. Let z be 2*55\/(-20) - -7. Put z, 3\/7, a in descending order.\nAnswer: z, 3\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9237 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -18, 0, -29, -4 in decreasing order.\nAnswer: 0, -2, -4, -18, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3004076?\nAnswer: 2, 23, 32653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41.715 - -42.545. Which is smaller: -34 or f?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5040612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*c = 334, 5*c = 16 + 4. Let y = 95 - d. Suppose -4*q = q - y. Calculate the greatest common divisor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 160257.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1\/4, 17, 0.22, 0.11, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a millennium in months?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112201*x**2 + 112198*x**2 + 15 - 224402*x**2.\nAnswer: -3*x**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37018?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -8, 0, -2, 2, 58, 1 in descending order.\nAnswer: 58, 16, 2, 1, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**5\/60 - v**4\/6 + v**3\/6 - 4*v**2. Determine c(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131292303 a multiple of 3681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 23868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 22*i = r + 13, 4*r + 3*i = -13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x + 4*x)*(5 - 2 - 2)*(1 - 1 - x)*(0*x**3 - x**3 + 3*x**3).\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53352.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 245.9516 + 0.118597?\nAnswer: 246.070197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 10. Suppose 2*i - 35 = -5*i. Suppose -i*c + 59 = -m + 1, -5*c + 5*m = -50. Let d be f(c). Solve -d*a + 3*b - 8 = 0, -6*b + 15 = -5*a - b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8435 is divided by 530.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 - -129. Suppose -5*q - 3*w + 1485 = 0, 4*q - g*w + 10*w = 1151. Does 27 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/99 - 185\/1287. What is the closest to -0.3 in -0.07, i, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-9 - (4 + 8)) - (-1 + 9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7 = 2*a, -2*a + 4*d - 8 - 2 = 0. Let q be (-8020)\/(-55) - 2\/a. Suppose 4*i = -q + 478. Calculate the remainder when i is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4.2. Suppose 0 = 11*b - 8*b - 33. Suppose -18 = 2*s - b*s. Sort s, -1\/15, z in decreasing order.\nAnswer: s, z, -1\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69498 and 455382?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22462\/423905 + -2\/2845. Find the common denominator of 71\/6 and b.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 1. Let f(r) = -9*r + 28. Let u(x) = 4*b(x) - f(x). Differentiate u(o) with respect to o.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1*4\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - -6. Let l = -228 + 228. Suppose -2*k + c + 10 = l. What is the remainder when 59 is divided by k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 3*b**5 + (-3*b**5 + 6*b**5 - b**5)*(0 - 2 + 0) - 5*b + 5*b - 2*b**5 - 2*b**5 - b + b + 0*b**5 + 2*b**5 + 0*b**5 + 7 + 3*b**5 - 7.\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -632 divided by 4\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -152?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3019310420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/5*4*2\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 2:32 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6103076 to the nearest integer?\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-5)\/((-45)\/(-27))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1343 + 1364 = -3*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61094 divided by -1?\nAnswer: -61094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/8 and 41\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 325 = -4*m + 4*y, 3*y = -5*m + 397. Does 15 divide 5968\/m - (-4)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53997 + 81035. Suppose -4*k = 2*q - a, 14*q + 40571 = 17*q - k. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 8.59, -18, -5, -3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1166154 and -35912767?\nAnswer: 34746613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 137325857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x + 56. Let s be w(-8). Suppose s = 16*g - 14*g. Solve -4*y = -n - g - 5, -4*n = -12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**4\/4 - 873*m**3\/2 + 3888*m**2 - 23247*m\/2 + 46413\/4 = 0. What is m?\nAnswer: 3, 573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**4\/4 - 8*a**3\/3 - 17*a - 58. What is the tens digit of c(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/1066720 and -93\/2260.\nAnswer: 1066720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -70. Suppose y + 0 = 6*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*9 - (5 - 2). Let m be 8\/l + 15\/9. Let f(j) = -j + 1. Let v(o) = 2*o - 3. Give m*v(g) + 3*f(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2731829 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 19*c**2 + 134*c - 391. Calculate b(-25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 24 = g, -d = -4*g + d - 24. Let p be 1*(2 + -2 + 13). Let s = g + p. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2) - (-9)\/2. Let m(n) = n**3 + 7 + 5*n**2 - 14 + 0*n**2. Let x be m(-4). Solve -2*y + p*y = -x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 233750 and 990.\nAnswer: 2103750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02900484 to 3 decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9b22 - 3?\nAnswer: 9b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/8)*z**17*(z**(-2\/25)\/z)\/(z\/(z**(-3\/11)*z*z*z)))**(-2\/63) assuming z is positive.\nAnswer: z**(-13033\/23100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/7 (b) -1.2 (c) 6 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 7. Let v be -2 + 2 - (-3 + 3). Suppose v = -2*p - 2 + 8. Solve -24 = -b*r + 3*k, -4*k + 6*k - 1 = -p*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150a753 (base 11) in base 3?\nAnswer: -11212122020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/44)\/i*i\/(i**(-2\/5)*i)*i)\/((i*i\/(i**(11\/3)\/i)*i)\/i)**(-4\/15) assuming i is positive.\nAnswer: i**(79\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, -5898, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + (7\/4)\/(113\/452). Solve -2*p = 0, 4*s - 4*p + p - 16 = x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3553733\/1612602 + 2\/89589. Calculate the common denominator of (5\/(-2))\/((-6)\/23) and g.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.7, -7, 5, 40\/7, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 take away 1216?\nAnswer: -1390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2308, 6286, 11936, 19258, 28252, 38918, 51256?\nAnswer: 65266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g. Let n be x(-2). What is the second derivative of l**4 + 4*l**4 - 2*l**4 - 5*l**4 - n*l wrt l?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 10*v**2 + v + 7. Let t be u(10). Let h = t - 12. Solve -6 = -q - p, -4*q + h*p = -1 + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3754, 7749, 12202, 17341, 23394?\n\"Answer: 38*u**3 + u**2 + 3726*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x*x\/(((x\/(x**(-2\/5)\/x))\/x)\/x)*x*x)))\/x**(-6)*(x*x**(-3\/5))\/x**0*((x*x**(2\/5)\/x)**(-12))**(-31\/4) assuming x is positive.\nAnswer: x**(231\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4)\/(u\/(u*u**8)))\/((u**3\/u)\/((u*u**6)\/u))*(u*u*u**(-1))\/u*u**(-2)*((u\/u**(-1\/3))\/u)\/(u\/u**(5\/4)) assuming u is positive.\nAnswer: u**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + sqrt(108)) + 4*(sqrt(108) + 2))**2.\nAnswer: -84*sqrt(3) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*x + 623. List the prime factors of x.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 245, 442, 695, 1022?\nAnswer: 1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116350 and 23270.\nAnswer: 116350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/4253210 and 127\/260.\nAnswer: 8506420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13512 is divided by 92?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3999368 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -123*t**2 + 243*t + 51. Calculate b(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 4)\/(-1*2 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*w = -8, -4*o - w - w = -34. Suppose -36 + o = -5*m. What is the first derivative of 0 - 5*a**4 + m*a**4 + 1 wrt a?\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 6*t - 2*d + 30 = 0, 11*d = 5*t + 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10}. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*((-4 + 2*sqrt(1331))**2 + sqrt(1331)) - (3 + (sqrt(1331) + sqrt(1331) + -1 + sqrt(1331))**2 + sqrt(1331))*-1).\nAnswer: -264138 + 6270*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1, 2\/3, 4\/3, -4.9, -0.9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 294 in 0.3253, -0.3, 0.2, -0.5?\nAnswer: 0.3253","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (155\/(-310))\/((-2)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/45 + (-234)\/(-270). Suppose 0 = 5*w - t + o, -4*w + 140*t + 1 = 141*t. Factor 4\/15*b**2 + w*b - 2\/15*b**4 + 0 - 2\/15*b**3.\nAnswer: -2*b**2*(b - 1)*(b + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29431 is divided by 466?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 + 8196*g**2 + 50397200*g + 604373056\/3.\nAnswer: (g + 4)*(g + 12292)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g + 11816*g**3 + 3*g - 11806*g**3 - 54 - 15*g**2 - 4*g + 4*g**5 wrt g?\nAnswer: 80*g**3 + 60*g - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - (4 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16*(-7)\/(-56))\/((12\/(-1047153))\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-8) - (-625)\/20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -410 - -5187. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from {n: 1, d: 1, b: 1, a: 3, u: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k + 34*k + 25 = 0. Solve p - k = -0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-350)\/(-147))\/(3\/7)*2106\/468.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/41 - -802\/3977. Let s = -178 - -186. Suppose -12*j + 4 = -s*j. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*-2*18\/180.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-7\/2)*j*(j\/(j\/j**(-1)))\/j)\/(((j\/(j**5\/j))\/j)\/j**4) assuming j is positive.\nAnswer: j**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4271 - -4280. What is the third smallest value in 2, 2\/9, c, 0.3, -2\/21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*k + 1694 = 191*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/3097024 and -99\/27776.\nAnswer: 6194048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 - (-37 + 18 + 18 - 14) - -10?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(864)*-1 + sqrt(864))*-5 + (-6*sqrt(864)*2 - sqrt(864)))\/(4*(sqrt(968) - (sqrt(968) + -1*sqrt(968))*-6)).\nAnswer: -39*sqrt(3)\/22 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*h**2 + 387638*h - 7257113.\nAnswer: -8*h + 387638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 147 + -149. What is the nearest to -1 in 1\/3, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*v - 1, 0*j - 19 = 2*v - j. Let w(c) = -2*c**3 - 7*c**2 - 2*c + 19. Is w(v) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iefdn. What is prob of picking 1 e and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1029471961?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 63594990\/(-175) - 10\/175. What is h rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 + 6*f**2 + 3*f + 1. What is y(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/19 (b) -3\/2 (c) -2 (d) -3\/11 (e) -0.1 (f) -3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -f - 4729820 - 26620938, 12 = -4*h. Let b = -16520761 - f. Round b to the nearest 100000.\nAnswer: 14800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 40. Let l(m) = -30*m - 29. Does 6 divide l(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -12*q**2 - 85*q - 22. Calculate a(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 = 3*f + h, f + 15 = 3*h + 93. Determine b, given that 176*b - f*b - 92*b - 2*b**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-75)\/(-12) - 3\/12. Let w(h) = h**2 - 4*h - 8. Let o be w(v). Solve -4*l = 4*n, -5*l - n - 12 - o = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 + 18*w - 3. Let p(m) = -m**3 - 7*m**2 - 36*m + 7. Calculate 3*p(j) + 7*x(j).\nAnswer: -3*j**3 + 18*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 380980200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1877777 and 693.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -402 - -1121002243?\nAnswer: 1121001341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 16*y**2 - 27*y + 15. Let a be s(-14). Let p = -35 - -50. Calculate the common denominator of p and (-12)\/(-16) - ((-603)\/(-60) - a).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12793670 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1945 - 1002. Calculate the remainder when k is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 2:12 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 9*f**2 + 9*f - 10. Let j be u(8). Is -1 - (j - 20\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-30)*(-6)\/4. Let d(f) = 3. Let r(c) = c. Calculate p*d(n) - 2*r(n).\nAnswer: -2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1624302268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9800057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away -210.24?\nAnswer: 217.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 38704\/413 + (-4)\/(-14). Calculate the highest common divisor of 2444 and i.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 16. What is j(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 12:41 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(19) + 1)*1)**2.\nAnswer: -6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/7163478 and -115\/5292.\nAnswer: 100288692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**4\/12 - 14*x**3\/3 + 56*x**2 + 893*x. Calculate m(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 130710*r**2 + 135*r - 37714419.\nAnswer: 261420*r + 135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 167*d - 3521 - 7043 + 3550. What is the highest common divisor of d and 3297?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -945*q**4 + 22*q**2 + 19?\nAnswer: -22680*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-42) - 4\/(-14). Solve 2*x**2 + 0 + l = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 + 2*u**3 + 119*u**2 - 5 + u + 119*u**2 - 190*u**2 in the form b*u + z + g*u**3 + d*u**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -7*d**7\/5 + 380*d**3\/3 - 413*d**2. Differentiate r(a) wrt a.\nAnswer: -1176*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f - 36*f + 16*f + 1 - 1.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1551651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 130, 277, 430, 595, 778, 985?\n\"Answer: o**3 - 3*o**2 + 149*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 362 = 2*r, -r - 3*j = -87 - 94. What are the prime factors of r?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16221463 - 0?\nAnswer: -16221463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 4. Let z be m(-3). Let h = z + 21. Let t = h + -7. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t - 2. Let g be p(-3). Let u(a) = a**3 + 9*a**2 + 9*a + 4. Give u(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -260400?\nAnswer: 260400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372 - 354 - 331 - 340 + 1646 + 2*n - 324.\nAnswer: 2*n - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1579448 - -2736448. Suppose -135*v + 125*v - k = 0. What is v rounded to the nearest one thousand?\nAnswer: -116000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3360982 is divided by 319?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-76)\/(-171) + 8\/(-18). Solve 0 = 2*q - n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 628245?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*v**3 - 35*v + 2217.\nAnswer: -201*v**2 - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/18 - 14\/(-18). Let m = -5 - -4. Let d = m - -5. Sort -1, d, f in decreasing order.\nAnswer: d, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 1 + 0)*(-4*b + b + 2*b) - b + 1 - 1)*(71794 - 71794 + 235*b) to the form d + y*b**2 + u*b and give y.\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*sqrt(78) + sqrt(78) + sqrt(78))*-1)\/sqrt(6) + 6*(sqrt(13) - (sqrt(325) + 0)).\nAnswer: -27*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 1530 - 2758 - 1140 to the form t + r*g and give t.\nAnswer: -2368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291662 is divided by 263.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.1. Let y(v) = -28*v - 247. Let z be y(-9). Which is the nearest to p? (a) -1\/4 (b) 1\/9 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 146 + -142. Let f = 1 - 0.9. Which is the closest to f? (a) 0.06 (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 25*j**2 - 44*j + 6. Let i be t(23). Calculate the highest common factor of i and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 2*y - 2*y)*(21*y - 48697 + 48697 + 1216*y)*(-1 - 5 - 4) as i + c*y + b*y**2 and give b.\nAnswer: 24740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88229 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/11*(2 + 3). Solve -u*o + 0*w - 16 = 3*w, -o + 1 = 2*w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -2. Suppose 0 = 2*p - 3*h - 18, 2*p - v*h = 4*p - 30. Calculate the smallest common multiple of p and (54\/(-24))\/((-6)\/32).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b = 3*k - 39, -4*b = 20. Suppose 14*f - 10*f - k = 0. Let n(z) = z + 1 + 1 - 6*z. Give n(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12237, -24543, -36901, -49311, -61773?\n\"Answer: -26*f**2 - 12228*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 16 in descending order.\nAnswer: 16, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(1\/2)*m)\/m)**(-2\/15))**(-40) assuming m is positive.\nAnswer: m**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*a - 9 = -38, -3*k = a - 24. Suppose 0 = -5*v - 3*q + 144, v = -3*q + k*q + 15. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10110110101111101111001?\nAnswer: 10110110101111101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125130176 to the nearest integer?\nAnswer: 11186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 7, -3, -4 in decreasing order.\nAnswer: 7, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/1*(-17 - -50). Let k = r + 52. Suppose -2*b = -b - 5*c - k, -4*b + 5*c + 151 = 0. What is the common denominator of -36\/7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 633 = 3*h + 3*c, 4*c = 3*h - 554. Suppose -67 = n + 23. Let p = h + n. Is p a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.8 (b) 719 (c) 0.5 (d) -7\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-25)\/(-15))\/((-3)\/(-54)). Let m = -30 + f. Suppose -2*p + 42 + 62 = m. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 0 - 17\/96*c**6 + 35\/16*c**5 - 1375\/96*c**4 + 15*c**2 + 1\/168*c**7 + 625\/12*c**3 + 0*c. Factor u(f).\nAnswer: 5*(f - 5)**3*(f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*h + h - 9 = 0, 3*x - 4*h = -14. Solve 4*f - 5 = -f, 0 = 2*q - 4*f - x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 94 and -5?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -659, -543, -427, -311?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -1.7 (c) -3\/4 (d) 0.1 (e) 527\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1090326 divided by 8\nAnswer: -545163\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101001011001010000 (base 2) in base 10?\nAnswer: -955984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4, 7, -3 in descending order.\nAnswer: 13, 7, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, -14, -1\/3, -0.2, -2, 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*z + 48 = 0, 2*n - 99 = -2*n + 5*z. Let d be 6\/n - 848\/2982. Let i = d - -16731\/994. Calculate the common denominator of i and -47\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2319 and 9?\nAnswer: 6957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 87*x - x**2 + 74*x + 47*x - x**2 to r*x**2 + l*x + q and give l.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 + 173118*a**2 - 173118*a**2.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37626 - 37608.963. Let f = k + 2.476. Let d = 19.6 - f. Round d to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 323 + -0.0669.\nAnswer: 322.9331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/8, 18.01, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 409589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 216 = 13*u. Calculate the highest common factor of u and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.0002 + -1. Round b to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b9ccb (base 16) to base 11.\nAnswer: -2885024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**4\/6 + y**2\/2 + 7*y. Calculate the remainder when 55 is divided by i(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (17 + -12 - 11) - (1 - 18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -37634 (base 10) in base 2?\nAnswer: -1001001100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -13.60572.\nAnswer: -13.30572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 127707 (b) -5 (c) -12 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3945, -32, -4, 0.2, -0.11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/60 - h**4\/24 - 66*h**2. Let p(b) = -2 + 1 - 2*b + 3*b. Determine -2*a(w) - 2*p(w).\nAnswer: -2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 9:35 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-15)*(-6)\/(-4). Let k be (2 - -7 - -2) + 4\/2. Find the third derivative of 3*i**u + k*i**2 + i**3 - 17*i**3 wrt i.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05238 - 43.99238. Let t = 0.94 + u. Let d = t - -42.99999954. What is d rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456391273?\nAnswer: 13, 107, 328103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 162\/36 - (-1 + -10 + (-19)\/(76\/(-24)))\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-197)\/(-4)*(1 + 3). Let l = t - 134. What is the common denominator of (5\/(20\/l))\/12 and 73\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*10)\/2*60\/300?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 40, -1\/4, 688, 1\/4, 3, -3 in ascending order.\nAnswer: -3, -1\/4, 1\/4, 3, 5, 40, 688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69139 + 69139.5. Let g be ((-4)\/(-2))\/(-22)*-1. Let c = 0.04 - -0.16. Sort c, g, j.\nAnswer: g, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35284926 by -11761642.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**4 + 10*h + 62?\nAnswer: -8*h**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 396207 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 302 = -3*c + x, 512 = 5*c - 4*x. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcjj when four letters picked without replacement from jccjjcdjjjjcjcdvcccj?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126976 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n + 2. Let f(k) = -186*k + 115. Let h(s) = -f(s) + 5*q(s). Differentiate h(a) with respect to a.\nAnswer: 201","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (405\/25)\/((-1458)\/1620)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 - f**5 - 2*f**5 - 4*f**5 + 5*f**5 + 4*f**5 + (5*f**3 - f**3 - 2*f**3)*(0*f**2 - 4*f**2 + 3*f**2) + 0*f**5 - 2*f**5 + f**5.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, f: 4}. What is prob of sequence qffq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4 + 2 + -2*(-4*sqrt(68) + -4))*1)**2.\nAnswer: 192*sqrt(17) + 4392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 46*x**3\/3 + 72*x - 99. Find the first derivative of m(v) wrt v.\nAnswer: 92*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341 times -0.5\nAnswer: -170.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 13 = -x, x + 0 = -h - 1. Suppose -7*y = -h*y - 100. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b308 (base 15) in base 4?\nAnswer: -21032300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 1596?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -588278.4973 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 1. Suppose 0 = -v + j*v - 4. Suppose -b - k + 6 = 0, 2*b + k = -v*b + 18. Solve -21 = -3*l - 5*u, -b*l - 2*u = -7*u + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7962, -16312, -24662?\nAnswer: -33012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p + 7*p - 13*p)*(24 + 57 + 9)*(-4*p**3 - 2*p**3 + 4*p**3).\nAnswer: 2520*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1744295\/641568 - -1\/20049. Calculate the common denominator of a and 25\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**5 + 116*y**3 - 48*y**2 - 832*y + 768 = 0.\nAnswer: -4, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**7\/8820 + b**5\/420 - b**4\/4 + 5*b. Let v(x) be the third derivative of a(x). Solve v(r) = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3261?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -c + 17, -2*t = -2*c - 7*t + 40. Let j(x) = -x**3 - 4*x**2 + 6*x + 9. Calculate the smallest common multiple of j(-5) and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4518 - 11895 = -3*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6156 and 188556?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9*q*q)**(6\/25) assuming q is positive.\nAnswer: q**(66\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 429715 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33657990 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 19008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -695 - 265 = -4*w. Suppose -w = -4*b + 100. Calculate the highest common factor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719700041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*m = 13*m - 1459666. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 772*o - 2334.\nAnswer: 2*(o - 389)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.044 + -0.044. Which is the third biggest value? (a) -25 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f. Let n(d) = 236*d - 8. Let p(j) be the first derivative of 79*j**2\/2 - 3*j + 2. Let a(m) = 3*n(m) - 8*p(m). Determine b(a(q)).\nAnswer: -76*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2. Let j(h) = 30*h**2. Calculate z(j(q)).\nAnswer: 1800*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95*d**2 - 32*d**2 + 126*d**2 + 26 - 30*d)*(2 + 10 - 3).\nAnswer: -9*d**2 - 270*d + 234","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*k - 18. Let x = -9 - k. Let n = 0.3 + 0.7. Which is the closest to 0.1? (a) n (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -10*r**2 + 140*r + 332. Give b(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-6) - -2 - -9. Let z be 42\/5 - r\/(-25) - 4. Let q = -0.23 + 0.53. Put 3, z, q, 1.6 in descending order.\nAnswer: z, 3, 1.6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3846443 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 25 = -10*i. Suppose 2*v - 94 = 5*u, -i*v + u + 129 + 106 = 0. Let w = 50 - v. Solve 2*z - 1 = w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 10:51 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 1\/3, 4\/15, 0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*i + 24 = -i, 4*i + 10 = -3*o. Suppose -h - 71 = -b - 2*b, -o*b + 54 = -2*h. Calculate the common denominator of 3 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*h - 136. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000019917 rounded to seven dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*-12*((-95)\/(-20))\/(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**5*n*n)\/n)\/n)\/(n\/n**(5\/2)))\/(n\/(n*n**(2\/7)*n)*n**0) assuming n is positive.\nAnswer: n**(-17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - -28) + (176 - 207)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -1954?\nAnswer: 97.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-35)*v*v**(-6\/25) assuming v is positive.\nAnswer: v**(-856\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y + 47757 = -14*y + 47622 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -14. Suppose 8 = -4*i - b. Let a be (-14)\/i*16\/14. Solve 16 = -0*n + a*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 0, 31, 7 in descending order.\nAnswer: 31, 7, 0, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.116 in 0, 0.5, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6960 - 6960 - 86*y in the form x*y + m and give x.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 + 1 - 1)*(-294 - 4119 + 2359).\nAnswer: -6162*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -315*w**2 - 9130*w + 145.\nAnswer: -5*(w + 29)*(63*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 66*u + 3. Let y(h) = -67*h - 7 - 14 + 80 - 11 - 50. Give -2*p(g) - 3*y(g).\nAnswer: 69*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 9322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b23 + 4?\nAnswer: b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 10*v + 14. Let f be b(11). Let c(u) be the first derivative of 3\/4*u**2 - u**f + 0*u - 1 + 3\/8*u**4. Solve c(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-378)\/(-504))\/((-4)\/80)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 132*d*y*z - 35*d*y - d*z + y wrt z.\nAnswer: 132*d*y - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 103*n**2 + 1. Let p be a(-2). Let r = p - 223. List the prime factors of r.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 507*a**2 + 987*a**2 - 511*a**2.\nAnswer: -31*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1*2\/(-9))\/((-6238)\/34309*121\/27)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 - 68. Suppose 0 = -14*q + 276 + 102. Let z = q - d. Let v(h) = 4*h**2 + 2*h + 2. Let p(i) = 4*i**2 + 3*i + 3. Determine z*p(f) + 3*v(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 272 and 18.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7219, 7274, 7373, 7516, 7703?\nAnswer: 7934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-20))\/(90\/48).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.98663 days in nanoseconds?\nAnswer: 7602044832000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 2. Suppose -454*i - 657*i = -218*i + 1786. Put 3, i, a, -25 in descending order.\nAnswer: 3, i, a, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 60*l - 330. Determine d(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 0*i**2 + 1 - 1\/3*i**3 + 0*i. Let m(t) = -t. Determine u(m(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 1\/3 (c) 2\/513\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26696394 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + -82 + 105 + (-7 - -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**4 + 40*y**3 - 900*y**2 - 4320*y + 43200 = 0. What is y?\nAnswer: -12, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 3:27 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*k - 8*k - 2*k)*(3*k + 4*k - 3*k) + 2*k**2 - 2*k**2 - 2*k**2 + (1 - 1 - 2*k)*(-2 + 2 - 2*k) as u + w*k**2 + h*k and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*z - 3254545*z**2 - 1 - 103*z + 3254504*z**2.\nAnswer: -41*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*1*(-16)\/(-72)*42\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -176397 - -176380. Let m be (-16)\/(-10) - (-4)\/10. Let w(s) = m*s + 2*s + 7 + 3*s. Let r(o) = 20*o + 20. What is l*w(g) + 6*r(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 73, -1463 in descending order.\nAnswer: 73, -4, -1463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) 3 (c) 0.1 (d) 44 (e) -3.02 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6754 = -1416*x + 11654 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(18)\/(sqrt(48)\/sqrt(8)) + 1 + -1.\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + 0.1. Let k = -0.3 + p. What is the nearest to -1 in k, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 529 + 553 = -5*d, -2*i - 1091 = 5*d. Let n = d + 237. Calculate the highest common divisor of n and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.8, 4, -0.4, 87\/5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42737 and 0.4.\nAnswer: 17094.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-seven fifths of a meter?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/125 (b) 13 (c) 3 (d) -0.4 (e) 0.1 (f) -1\/979\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6460 (base 7) to base 14.\nAnswer: ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*d**2 - 100*d**2 + d + 1 + 2*d**3 + 50*d**2 to i*d**2 + b*d**3 + r + n*d and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-2 + (-12)\/(-3) + 3. Let p be (21\/2)\/((-2)\/(-4)). Suppose d = -d, 3*u - p = r*d. Solve 0 = -3*x - q + 7, -x - 4*q - q + u = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 50.782.\nAnswer: 26.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y + 49. Let q be s(-6). Let b be (-26)\/91 + 9\/q. Let k(m) = 2*m + 2. Let n(h) be the second derivative of -h**2\/2 - h. Calculate b*k(j) + 5*n(j).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 3*j**2 + 3*j**2)*(-6 + 1 + 6).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2\/9 + 56*n\/9 + 50\/3 = 0.\nAnswer: -25, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3346 + -3335. Sort 31, -4, n, -5, -2 in decreasing order.\nAnswer: 31, n, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -62, -10, 0.1, -2\/63, 4?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - 39*x - 50. Let j be k(21). Suppose -j*o + 4790 = -3*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 0*x + 0*x**2 - 10 + 3*x**5 - 33\/2*x**4 + 8*x**3. Factor j(n).\nAnswer: 3*n**2*(n - 4)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 5 = 19*v. Let g be 0\/(v*2) - (-7 + -48). Let s = 51 + g. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1084*m + 2230*m - 988*m.\nAnswer: 158*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**16*q)*q**4*q)**(-10\/9))**23 assuming q is positive.\nAnswer: q**(2530\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 302*y - 24480. Determine p(81).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = -7*a. Suppose 1920 = 19*u - 7*u. Suppose a = -0*d + d - u. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 646555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4))**50\/(u**(-7)*u**(1\/20)\/u*u) assuming u is positive.\nAnswer: u**(-111\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9146392 nanometers?\nAnswer: 0.0009146392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpjhshhkpookkhhhs. What is prob of sequence pp?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 15 = z. Suppose -6 = -h + 2. What is the remainder when z is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/9*0)\/3. Suppose o = 2*d - 0 - 14. Calculate the highest common factor of 35 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 118*b*v*x + 587*b*v - 7424*b*x - 10*b + 2*v*x - v wrt v?\nAnswer: 118*b*x + 587*b + 2*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqwwwwwww. What is prob of sequence qww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1523944 and 4571832?\nAnswer: 4571832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -j + 36, -2*j - 3*h = -4 - 77. What is the greatest common divisor of j and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + (-28)\/6)*6. Let d be (1 + c)\/(14\/(-42)). Suppose d*k + 4 = 47*k. Solve -k*a - 15 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**8*n\/n**(-9)*((n*n**(-5))\/n*n)**(2\/11) assuming n is positive.\nAnswer: n**(190\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67822 is divided by 3228?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -722 = 5*h - f, -6*h = -h + 5*f + 710. Does 24 divide 20\/(-6)*h\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 9:31 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(102) + sqrt(102)*-2 + sqrt(102)))\/(3*(sqrt(3) + 2*sqrt(3))))\/(4*(sqrt(162) + sqrt(162) + sqrt(162)*-2 - (sqrt(20)*1)\/sqrt(10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15405 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 6:53 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 431111 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -335\/3081 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4 + 3 - 8 - 6*o**3 + 2 - 6*o**2. Let c(q) = -q**3 - q**2. Determine 5*c(m) - h(m).\nAnswer: m**3 + m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38782 equal to 4498837\/116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z**2 + 2*z - 2. Let x(y) = y**2 + y - 1. Let n(o) = 3*o**2 - 76*o - 526. Let i be n(31). Give i*s(w) - 4*x(w).\nAnswer: 2*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 0.03 (c) 3\/188\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 2*f + 0*f)*((2*f + 0*f + 0*f)*(69 + 22 - 30) + 4*f - 4*f - f) in the form a*f**2 + i + v*f and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -794 + 393. Let h = l + 406. Solve 0 = 7*q - h*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/20 and -99\/63867104.\nAnswer: 319335520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*(p\/p**(-1))\/p))\/p)**(-27)*(p**(-3\/7)\/p)\/(p\/p**(-3\/4)*p) assuming p is positive.\nAnswer: p**(2151\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - l = -15, 0 = -9*l + 4*l - 25. Solve 0 = -4*d - 0*d - 16, 0 = x + h*d + 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -879.4364133 - 19.5631177. Let l = x - -899. What is l rounded to 5 dps?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 81*((-2)\/(-4))\/(2\/4). Suppose 22*u + 5*u - o = 0. Is 36\/19 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -25?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/665 and -29\/49266.\nAnswer: 4680270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*n + 22*n - 15*n - 21*n)*(6 + 0 - 3) to z*n + s and give z.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -689 = 8*x - 2033. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 15*o - 11. Let l be (-16 + -12)*1\/2. Let z be i(l). Differentiate -3 - 4 + 4*w**z + 7*w**3 + 0 with respect to w.\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from umymyuumuu.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 557974, 557332, 556690, 556048, 555406?\nAnswer: 554764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 + u**2 + u + 2. Let z be o(-2). Let f be z\/(-25) + 102\/10. Solve -2*a - 3*v + 1 = 2*v, -3*v + f = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45966997?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -6*x - 160. Is 7 a factor of x\/(-12)*(-78)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*b - 32 = -4*w, 5 = -5*b. Suppose 0 = -w*g - 146 - 274. Let t = g + 124. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 4. Let z(n) = 1447*n - 65. Determine l(z(o)).\nAnswer: 2894*o - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12437.\nAnswer: 12437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 305*b**2 + 95*b + 270. Let t be h(-3). What is the highest common divisor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 476\/595 + 1608\/(-3410). Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5\/5)\/((-2)\/(-46))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3582 - 3 - 1*(6 - 0). Is h equal to -3592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.23? (a) 1962 (b) -2\/21 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2127915 is divided by 70929?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-534)\/9)\/2*-24. Suppose -4*z + 2*z + 3*j = -289, 3*j - n = -5*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + -1021?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**2 - 1850801*g - 1850802 = 0.\nAnswer: -1, 1850802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 712*b**7\/7 + 175*b**3\/3 - b + 238. What is the third derivative of y(u) wrt u?\nAnswer: 85440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**5\/60 + 7*y**4\/24 - y**3\/6 - 3*y**2\/2 - 4. Let z(x) be the second derivative of r(x). List the prime factors of z(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 1\/7, 48\/35 in decreasing order.\nAnswer: 48\/35, 1\/7, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.012 in 0.291, 1, 11?\nAnswer: 0.291","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8489994 = -2*g, 6*g + 2830006 = -m + 4*g. What is m rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107117?\nAnswer: 17, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 100 - 2*f + 2*f**2 - 5*f**3 + 97. Let w(r) = -14*r**3 + 5*r**2 - 8. Suppose -3 = 4*n - 3*n. Determine n*w(p) + 8*a(p).\nAnswer: 2*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4 - 115*n**3 - 1469*n**2 - 5597*n - 4242 = 0. What is n?\nAnswer: -101, -7, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 29*y + 31. Calculate p(-5).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -1 - -18) + -2 - 9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*b - 193 - 214, f - 5*b + 73 = 0. Let p = -81 - f. Find the second derivative of -2*d**p + 0*d**3 - d + 2*d**3 - d**3 - 2 - 2*d**3 wrt d.\nAnswer: -6*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3\/3 + 4180*o**2\/3 - 2167234*o\/3 - 17606416\/3 = 0.\nAnswer: -8, 1049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.236 + 0.236. What is the third biggest value in 1\/4, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-18))\/(2\/201). Suppose 2*w - w + 2*n = 23, -3*n = 4*w - q. Let g(z) = -4*z + 13. What is the remainder when g(-9) is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101835.\nAnswer: 3, 5, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - u - 1. Let s be p(2). Let j(w) = -w - 3. Let b(y) = 18*y - 3. Let i(d) = s*j(d) - b(d). Let g(z) = 5*z**2. Calculate g(i(f)).\nAnswer: 1805*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 8*h**2 - 8*h + 10. Let z be y(7). Let a be -1 - z\/(-6)*2. Suppose 2*g = 8, a*p - 3*p - 2*g = -17. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 314\/(-1727) + -1 + 1. Which is the closest to 5? (a) 0 (b) -16\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + 18*l**2 - 7*l + 51. Calculate the remainder when 4427 is divided by z(8).\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t - 23. Let l(p) = -p + 8. Let a(k) = -17*l(k) - 6*w(k). Let o be a(-2). Suppose 2*f - 4*f = -o. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*s + 8*s = 152*s + 182*s + 25389 for s.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -4)*-1.\nAnswer: -4*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -0.3, 0.2, -3\/7, -1, 0 in descending order.\nAnswer: 0.2, 0, -0.3, -3\/7, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/11))**(-20\/11) assuming n is positive.\nAnswer: n**(40\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 l, and 1 d when three letters picked without replacement from {b: 2, d: 1, l: 3, r: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -172*s**3 - 2*s**2 + 68*s. Let m(j) = 58*j**3 + j**2 - 23*j. Let i(b) = -2*f(b) - 7*m(b). Find the third derivative of i(y) wrt y.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46426060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 441, 882, 1323?\nAnswer: 1764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -70 and 254?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148 - -154. What is the remainder when 182 is divided by (w + (-5 - 0))*(-37)\/(-1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q = 2*q + 17. What is the greatest common divisor of q and 9962?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531596 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 11509433.\nAnswer: 11509433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 104952 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/6 and -131\/130.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.59 times 385?\nAnswer: -32567.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22154 - -109864\/5. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1439965.9 - 11103445.9. Let r = s + 9663463.999938. Let f = -16 - r. What is f rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 495.99992528 + -496. Round j to six decimal places.\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4548530, 3\/19, -0.1?\nAnswer: -4548530","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 8*v - 9. Let r be j(7). Let s = r + 53. Let o = 151\/3 - s. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2162.42 to the nearest ten.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 165511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times 270770?\nAnswer: -5144630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557 + 16 + 2122 = 21*h + 56*h for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2094 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2 - 436717*m - 535562 wrt m.\nAnswer: 4*m - 436717","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least as big as -144\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*a**2 - 11 + 10 - 5 - 12.\nAnswer: -67*a**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18620 is divided by 6201.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8617329 to three dps.\nAnswer: -1.862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 522\/49, 1, -4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0.5, 6, -13, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.36 - 4.04. Let l = -182 - -150. Let x = d - l. Is 0.4 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 43*i + 126. Give j(37).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 9. Let d be i(6). Find the third derivative of -u**5 - 3*u**5 - d*u**2 + 2*u**5 wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -0.2 (c) -17 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -248, -338, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 288179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, u: 7}. What is prob of picking 4 u?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 929916004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**3\/3 - 7598*l**2\/3 + 30404*l\/3 - 10136 = 0.\nAnswer: -7602, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h - 8*h - 5*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 515211312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1546171350 to the nearest integer?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 16. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19844*i**4 + 8*i**3 - 1303*i**2 + 186.\nAnswer: 476256*i + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 13524309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(198)\/sqrt(9)*-2)\/((sqrt(72) - sqrt(72)*2) + (sqrt(18)*1)\/sqrt(9))*-3*3)**2.\nAnswer: 128304\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-157)\/((-115552)\/(-1288))*12*1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(4\/5)*s*s**(-2\/63) assuming s is positive.\nAnswer: s**(368\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45*w - 34 wrt w.\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79070.\nAnswer: 2, 5, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 20*z - 19*z + 9939 + 37*z.\nAnswer: -2*z + 9939","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 564371 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*v + 4. Suppose -2*d = v*j - 2*j - 413, -2*d - 4*j + 410 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102*n + 38*n + 242*n + 258*n)*(-3*n + 3*n - 2*n).\nAnswer: -1280*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9342769?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + m + 76 = -0*m, -m - 19 = -b. Let z be ((-30)\/8)\/(3\/(-60)*-5). Let t = z + b. Solve 0 = t*h - s - 3, -2*h = h + 5*s - 31 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -6*n + 85. Let h(z) = z**3 - 14*z**2 - z + 17. Let r be h(n). Factor y**2 + 3*y**2 - 6*y**r + 3*y + y + 3*y**3.\nAnswer: -y*(y - 2)*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 1. Let h(t) = -5*t + 6*t + 4*t - 4*t + 2 + 0*t. Determine -h(d) - 4*l(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 549, 1743, 4045, 7815?\nAnswer: 13413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**3 + 3*c**2 - 7*c + 5. Let x(h) = -5*h**3 - 5*h**2 + 6*h - 4. Calculate 4*m(s) + 5*x(s).\nAnswer: -5*s**3 - 13*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*n - 17 = -0*c, -3*n = -4*c + 41. Let o(h) = h**3 + 13*h**2 - 80*h - 8. What are the prime factors of o(c)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k**2 - 8*k - 4. Let w(u) = -2*u**2 - 2*u - 1. Let d(x) = -x**3 + 9*x**2 + 9. Suppose y + 0*y - 9 = 0. Let j be d(y). Determine j*w(o) - 2*s(o).\nAnswer: -2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgdgggd. What is prob of sequence gg?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*f + 8, r = 5*r - 3*f + 12. Let z(a) = r - 52*a + 4*a**2 + 50*a + 3*a**2 - 1. What are the prime factors of z(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 21031, 3 in descending order.\nAnswer: 21031, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 24 = 2*l, -5*m - 28 = -0*m + 3*l. Let o = -87 + 83. Is o not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 + -79. Calculate the remainder when 22 is divided by 1*(12 - b)\/((-2)\/(-8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z\/z**(-16))\/z*z)\/z)\/(z\/(z*(z\/z**(1\/3))\/z)))**(-10\/9) assuming z is positive.\nAnswer: z**(-500\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.11 and 3\/131 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 319710.\nAnswer: -95913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + -58. Sort 2, z, -4, 5.\nAnswer: -4, 2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*g + 95 + 58. What is the remainder when g is divided by 13 - (-2)\/((-2)\/2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**3 + 2*m**2 - 3*m - 2. Let f(i) = -i**3 - i**2 + i. Calculate 3*f(p) + g(p).\nAnswer: 3*p**3 - p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u**3 + 0 - 5\/2*u**4 + 0*u + 5\/2*u**2.\nAnswer: -5*u**2*(u - 1)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 times 544386\nAnswer: 22319826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j - 28. Let o be k(8). Suppose -52 = -2*w + 5*q + 32, -4*w = -o*q - 180. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 0)\/(31\/((-527)\/51)). Solve 4*w + 8 = a, -5*w - 10 + 0 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 756536 and 481432?\nAnswer: 5295752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - a**2 - a - 1. Let b(r) = -3*r**2 + r - 3. Let o(y) = -b(y) - f(y). Calculate o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*l = -19, -5*l - 82 + 125 = 3*h. Which is the closest to h? (a) -1 (b) -2\/7 (c) -2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13987?\nAnswer: 71, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-12))\/(3\/12). Let s be 10\/20 + 1\/q. What is the nearest to s in -1, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 5650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83 - -85. Suppose 4*o - 968 = -p, -2*p + 5*o = n*p - 3767. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1620)\/12 - (5 + -7)\/2. Is -133 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147474272 divided by 3.\nAnswer: -147474272\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + t)*(1 + 0 + 0) + 4*t - 2*t + 2*t + (-3*t - t + t)*(-3 + 2 + 3) - 3*t - t + 3*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2 - 50223724*f - 630605613107044 = 0.\nAnswer: -25111862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3)*(-14)\/(-21)*9. Let d be 2\/((-4)\/(-200)*2) - t. Suppose 23*j + d = 29*j. What is the remainder when 51 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x + 5 - x**3 - 5*x**2 - 3*x - x. Suppose 55*d - 60*d - 25 = 0. Calculate the smallest common multiple of m(d) and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**6\/120 + h**5\/12 + h**4\/6 - 2*h**3\/3 + 8*h**2. Let s = -2 + -2. Give f(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8\/15 + -1\/3. Let t be (0 - (-9)\/(-2)) + 8\/2. Which is the second smallest value? (a) t (b) 8\/17 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*v - 15*v**3 + 13*v**3 - 25*v - 35*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100110100001010011 - -101?\nAnswer: 111100110100001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 3. Suppose -40 = 4*t - 5*g, -4*t - 4*g = g. Let d be i(t). Solve 0 = 3*h + 2*k - 4, -3*k - d*k = 2*h + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.846697 micrograms to grams.\nAnswer: 0.000002846697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 650227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750 is divided by 352.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300 (base 5) to base 4.\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3 + 10665312*g**2 + 31995957*g + 21330642 = 0. What is g?\nAnswer: -2, -1, 3555107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 20. Suppose 0 = -5*n + 2*n - 9. Let l = -7\/2 - n. Which is smaller: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((-5)\/4) - -1. Suppose -47000001 = u*m - k, -3*m + 5*k = 2*k + 28200003. Round m to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221, 960, 2187, 3896, 6081, 8736, 11855, 15432?\nAnswer: 19461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1054 - 1694. Let g = -640.000001022 - o. Round g to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 248822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 > 143632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 2. Suppose 2*t - 5*i = 5*t, -2*t = 5*i. Let w be 26 + -1*(t + 4). Suppose 9*o - 4 = -w. Determine u(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m - 13263 + 13353. Suppose 2*y = -n - 10, 3*n + 10 = -2*n - 2*y. Let c = 3 + n. What is the greatest common factor of c and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, -2, -12, -26, -44, -66, -92?\n\"Answer: -2*j**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 1945838*g - 1972830*g - 18 to the form f + p*g and give p.\nAnswer: -26992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3644 divided by 3644.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j**2 - 2*j + 8. What is the units digit of m(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010000101110 (base 2) to base 12\nAnswer: -543a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 5*c**2 + 32*c + 13. Is w(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 0*n - 3*s + 6, 0 = 3*n + s - 6. Let l be 1*n\/(-11 - 0). What is the third smallest value in 0.1, -1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92888587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1497\/2 - 751. Which is the nearest to -1? (a) -3\/7 (b) 20 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4386379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 13 + 2. Suppose -d*u = 2*u - 100. Is (42\/12)\/(2\/u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*f**5 + 15*f**4 - 5*f**3 + 73*f**2 + f - 57?\nAnswer: -780*f**2 + 360*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 463 (b) -77 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 2. Let y be h(2). Suppose y*a + 8 = 4*f - 30, -13 = -2*f + 3*a. Calculate the remainder when f is divided by ((-12)\/(-10))\/(6\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m. Let p be u(4). Let n = 53 - p. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 2*m**2 + 107*m + 28587. Is 20 a factor of a(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-1\/3))**(-3\/13)\/(n**(1\/6)\/(((n\/(n**(-2\/9)*n*n))\/n)\/n)))**(-3\/5))**(-18) assuming n is positive.\nAnswer: n**(-2283\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 = -6*f. Which is the third smallest value? (a) f (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7799 and 7502?\nAnswer: 5318918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 16. Which is the closest to y? (a) -2\/19 (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.4094103 millennia?\nAnswer: 409.4103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14745133 * 1.6\nAnswer: 23592212.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 20 = 3*n - 9, -4*q + 29 = 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 351863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 3*y - 38, 14*b = -15*b - b - y - 242 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23136099.\nAnswer: 3, 7, 17, 229, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3 - 2*r + 3*r - 3. Let p(m) = 13*m. What is j(p(q))?\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 8*a + 247. What is the closest to 1 in a, 4, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -2\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/8))**(-25))**14 assuming m is positive.\nAnswer: m**(-525\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/89997875 and 27\/681065?\nAnswer: 629985125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 276 = -2*y + 294, -2*y + 2*f + 570 = 0. Calculate the greatest common factor of 190 and y.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -47. Let l = a - 1. What is the greatest common divisor of 30 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.9 + -7.2. Let c = 7.9843 + 1.0097. Let i = z + c. What is i rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 2, i: 3, a: 4}. Give prob of sequence id.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 201, 3\/13, -1?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and -0.83.\nAnswer: 0.0996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*z - 8 = -73*z - 71*z. What is the smallest common multiple of 1204 and z?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:17 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -31, -64, -111, -172, -247, -336?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 - 0?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*d - 30, -d + 3*k = -0*d - 3. Suppose -5*i - 36 = -266. Suppose 10 = -y - o, -5*o + o = 5*y + i. Is d >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8767179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 less than -10212.7?\nAnswer: -10279.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 v, and 1 d when three letters picked without replacement from ndudvdudnddd.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*n**5*v**3 - 2*n**4*v**3 - 2*n**2 - 227*v**3 wrt n.\nAnswer: -1800*n**2*v**3 - 48*n*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from wewewwwwwww?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6755 (b) 1\/8 (c) 2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46365 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnbhw. Give prob of sequence wnnb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, q: 2, l: 5, y: 1, s: 2, i: 1}. Give prob of sequence yx.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.696 + 0.004. Let g = r + -1.9. Let s = g - 0.78. What is the biggest value in s, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28976)\/(-21732))\/(2\/36*(-4)\/6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 507 and 27183?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most 3412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 0*h**4 + 0 + 0*h**5 - 1\/10*h**6 - 10*h + 0*h**3 + 3*h**2. What is the derivative of b(f) wrt f?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 2 - 3*-1. Let a be (-36 + 37)*(b - 0\/2). Solve -3*c = 3*d + 2*c + 19, 2*c + 16 = a*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 918*x - 912*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 2:06 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j + 0*j - 2*j)*(4*j - 21*j + j)*(-3 + 3 + 2*j) in the form t + a*j + h*j**2 + m*j**3 and give m.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 3875 = -24*s. Let a(q) = -q**3 + 5*q**2 + 2*q + 8. Calculate the remainder when s is divided by a(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 943102*k - 943092. Give s(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -334176*h**2 - h + 1114810 wrt h.\nAnswer: -668352*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1742 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 23871, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**6\/720 + x**5\/24 - x**4\/24 + 3*x**2. Let b(p) be the second derivative of h(p). What is b(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/5, -1\/6, 4, 23, 84?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 105. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -64, 98, 536, 1388, 2792, 4886, 7808?\n\"Answer: 23*v**3 + v - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wz when two letters picked without replacement from ouuwzz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -10\/50563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1299 - -5971. List the prime factors of u.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Let a(l) be the second derivative of l**5\/20 - l**4\/3 + l**3\/3 + 3*l**2\/2 + 5*l. Let r be a(y). Solve n = 5*j - 18, r = 2*j - 5*n + n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jieopii. What is prob of sequence eeoo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(13\/4 - 3). Suppose -19 = 5*i + 6. Let m = 3.2 - 0.2. What is the third biggest value in i, m, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114370174 to the nearest integer?\nAnswer: 10694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 5, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 73, 81, 89, 97, 105, 113?\n\"Answer: 8*c + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 97*a + 2. Let q be i(0). Let j(p) = 2*p**2 + 13*p - 24. Let m be j(-8). Solve 0 = q*l - m*h + h, -16 = 2*l - 3*h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 5*w - 22, -2*w + 11 = j + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575203 is divided by 287310.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 7. Let x = -4 - k. Suppose 11 + 1 = x*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2561.40005 - -16\nAnswer: -2545.40005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/7528080 and -127\/336.\nAnswer: 7528080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 43.034. Let v = z + 0.0339947. What is v rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(49)*-2)\/sqrt(7) - sqrt(7)) + ((sqrt(14) + sqrt(56)\/sqrt(4))\/sqrt(2))**2.\nAnswer: 2*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43.2716 and 17?\nAnswer: 735.6172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 54*q**2 + 1. Let p(r) be the first derivative of -2*r**3\/3 + 200. What is p(d(u))?\nAnswer: -5832*u**4 - 216*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + sqrt(204)*1*-3 + sqrt(204))\/(sqrt(12) - sqrt(84)\/sqrt(112)).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.04 - 14.3. Let y = t - -0.26. Let i(b) = -b**2 + 9*b - 10. Let u be i(8). Sort u, 4, y in ascending order.\nAnswer: y, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17113870 and 190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 820 divided by -82.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -12. Let z(m) = -m**3 - 6*m**2 - 5*m - 2. Let w be z(-5). Which is smaller: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (0 + (-12)\/5))*5. Solve 3*h + a = i, -a + 5 = 4*h + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104999642?\nAnswer: 2, 11, 103, 46337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(294\/(-105))*(-2)\/(-45)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/2))**23*u**(-5)*u**(5\/4) assuming u is positive.\nAnswer: u**(123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 - -23. Calculate the remainder when p is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -33*g + 37*g + 2, 4*z + g + 14 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3821280438?\nAnswer: 2, 3, 2749, 231677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.5 + -8.4. Let i = 0 + 0. Which is the nearest to d? (a) i (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 + 2 = 0. Suppose -60 = n*b - 7*b. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 12:53 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/120 and -27\/19413650.\nAnswer: 232963800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z + 5. Let h(x) = -5*x - 5. Give -3*b(r) - 2*h(r).\nAnswer: -5*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u. Let w(x) be the first derivative of -5*x**3\/3 + 9. Determine r(w(c)).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1389*l + 685*l - 47369 = 37665 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4214 and 504.\nAnswer: 151704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/3)\/(113\/((-49833)\/98)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qekqqkkbcbey. Give prob of picking 1 k, 1 e, and 2 q.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1280))\/(-2*sqrt(1440) + sqrt(1440) - sqrt(1440)) - (sqrt(160)\/(sqrt(30)\/sqrt(3)) - sqrt(16))\/(6*(sqrt(8) + sqrt(8)*1)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1055\/7 - 151. Let s = -3.1 - -0.1. Let j = -8 + 8. What is the nearest to j in 0, s, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 - 3*s**2 - 2*s - 2. What is the remainder when j(3) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907933057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3326215 to 4 decimal places.\nAnswer: 0.3326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.8, 0.185, -11, 1\/5, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4 - 12. Suppose -g - g = h, -3*g - 22 = -4*h. Let b be (-2 + g\/(-1))*1. Put -3, v, b in decreasing order.\nAnswer: v, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1098256 and -0.01.\nAnswer: 0.001098256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**4\/4 - 6*p**2. Suppose n - 3 = 4*n. What is y(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**3 - 7*k**2 + k + 3. Give l(4).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.8 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j**3 + 25*j**3 - 45*j**3 + 13*j**2.\nAnswer: j**3 + 13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 8*s**2 - 20*s + 4. Let d be y(10). Suppose -96 = -5*r - 11. Let p = d + r. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(sqrt(147)\/(sqrt(42)\/sqrt(6)))\/(-4*sqrt(363)).\nAnswer: -4 + sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + j + 3*j)*(-8*j**2 + 18 - 18) + 3*j**3 - 4*j**3 + 4*j**3.\nAnswer: 19*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 857.7406 years to millennia.\nAnswer: 0.8577406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/6*(-170856)\/315. Calculate the highest common factor of 226 and a.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23*(-2 - (-2 - 2)\/1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + -1 + 1 - (-42 - -35)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**3 - u**2 + 3*u + 2. Calculate y(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-3)\/(-2)) - (-50)\/(-75). Put -4, -3, -2, f in descending order.\nAnswer: f, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -306*(-9)\/2997*-111\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 180844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*q - 8 = 0, 0 = 4*a - 4*q + 5*q + 2. Let m = 1\/288 + -5191\/2016. Let t = 16\/7 + m. Which is greater: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 29530 = -0*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**2 - 34*h - 4. Let p(f) = 45*f**2 + 305*f + 35. Let i(z) = -35*b(z) - 4*p(z). Determine t so that i(t) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 274 - 274. Which is the closest to 1\/4? (a) g (b) -4 (c) 1\/3 (d) 2\/117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 23 - 7 = 0. Let d = 26 - u. Calculate the lowest common multiple of 20 and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83 and 49883.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 - 0.33. Let t = -103.929 - 1.571. Let p = t - -105.2. What is the closest to g in -0.4, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 a when four letters picked without replacement from agagrnqgrnnaynranna.\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 4 - 4 - 2*h**2 + (5*h - 6*h + 5*h)*(12*h + 6*h + 8*h).\nAnswer: 102*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + ((-340180)\/10220 - 2\/(-21)*3).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(8)*2)**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -105 or -457\/253?\nAnswer: -457\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440000 and 2640?\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(sqrt(475) - 1*sqrt(475)*4))**2 - ((sqrt(475) - (sqrt(475)*1 + 0 - sqrt(475))) + 2 + -2).\nAnswer: -5*sqrt(19) + 68404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 64*o**2 + 68*o - 13110. Give u(66).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 0 - 2) + (45 - -10)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110110 - 10101011010?\nAnswer: -11101010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -99 + 21934?\nAnswer: 21857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1831*h. Let o(i) = -7*i**2. Determine j(o(t)).\nAnswer: 12817*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -14) + -6 + (-28)\/35.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/288 and -43\/936.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/364*(114 + 1132\/(-10))?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51570 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -342 - 2?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-12))\/((-3)\/12). Let q be 4\/16 + f\/5. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4232 divided by -4.\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 = -5*w + 24*q - 28*q, 2*q = -w + 98. Solve -21*h = -39*h - w for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z + 61 = -3*b, -b - 27 = -3*z. Let j(i) = i**3 + 16*i**2 + 14*i + 2. What is the units digit of j(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 8:16 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a**2 + 3*a**2 - 5*a**2)*(3*a + 3*a - 5*a)*(-9 + 12 + 12) to the form r*a**2 + l + s*a + y*a**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*q - 12 = -170*q. Suppose 4*j = 6*j - r - 273, -q*j + 399 = 2*r. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134769760627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - z - 6, -5*u + 4*z - 6*z + 44 = 0. Let m be (-2)\/(18\/u - 2). Is 13 a factor of (m - 0)*(-65)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1380)\/(-48)*(-52)\/(-65)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-11.044133\nAnswer: -11.444133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(143) - (-2*sqrt(143)*-6 + sqrt(143)) - sqrt(143))*3)\/((sqrt(11) - (sqrt(22)\/sqrt(288) + sqrt(11))) + sqrt(891) + sqrt(891)*-2 + sqrt(891)).\nAnswer: 1872*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60825119 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2*(-20)\/6. Let x be (-6)\/(-4) - r\/(-10). Let n(m) = -5*m**2 - m**2 - 2*m**2 + m. Give n(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 11*f**2 + 7*f - 14. Let t be q(3). Let v be (-4)\/(-26) - 42\/t. Which is the closest to 1\/4? (a) v (b) -5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16256 is divided by 3250.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 5. Let w be m(0). Put 0, w, -4 in ascending order.\nAnswer: w, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27)\/81)\/(1\/3*-1). Suppose -n - 3*r + 8*r = -c, 3*n = 5*r + 33. What is the least common multiple of n and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 2:04 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n + 3. Let u be 44\/(-6) + 7\/(-42)*10. Let f(r) = -2*r - 22. Let o be f(u). Let s(v) = 5*v - 2. Calculate o*p(z) - 7*s(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (((-170)\/40*4 - 0) + -27 + 39)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18533928 - -7?\nAnswer: 18533934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107267 is divided by 36.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 1902737 = 81*y - 2119259. What are the prime factors of y?\nAnswer: 11, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**3 + 25465*l**2 - 28301000*l + 9047850000 = 0.\nAnswer: 700, 3693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 307680, 307665, 307646, 307623?\n\"Answer: -2*p**2 - 9*p + 307691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-8))\/(1\/320). Let h = d - 101. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2126*r**2 - 52*r - 1 wrt r?\nAnswer: 4252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 70 = o. Let u be (-4)\/o + (-60)\/(-14). Suppose -u*s = -2*k + 42, -27 = 3*k - 6*k - 3*s. What is the least common multiple of 3 and k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/88 + (-42)\/(-11). Let g(o) = 5*o. Let k(f) = 2*f. Let m(x) = l*g(x) - 9*k(x). Let t(s) = -s**2. What is m(t(z))?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eqqebeekqxeetbq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/26400 and -91\/117120.\nAnswer: 6441600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11381.02 + 11381. Sort f, -2\/13, 5.\nAnswer: -2\/13, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + 3 + sqrt(1300) - (sqrt(1300) + -2 + -2))**2*6.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -3. Let r = y - 5. Suppose r*a = 2 + 6. Solve 5*j = -3*t - 20, -a*t - 2*t + 20 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2800729 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times 1806043\nAnswer: 198664.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 6:42 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 7*s + 1 - 4*s + 3*s**3 + s - 2*s**4 - s**2 + 0*s to the form g*s**3 + a*s**4 + z*s**2 + o*s + m and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/11)\/(y**5*y))\/((y*(y**(-1\/10)\/y)\/y)\/(y\/(y*y**(1\/9)))))\/(y*y**(-2\/3)*y**(-1\/9)*(y\/y**5)\/((y*y**(-2)*y*y)\/y)) assuming y is positive.\nAnswer: y**(-347\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111001211220 - 10?\nAnswer: 1111001211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79914 is divided by 76062.\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*z**2 - 42861*z + 4487258?\nAnswer: 4*z - 42861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1665*t**3 - 392*t**3 - 602*t**3.\nAnswer: 671*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 37*s + 2. Let l = -4072 - -4077. Let t(x) = 73*x + 3. What is l*a(g) - 3*t(g)?\nAnswer: -34*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-3)*1)\/((-30)\/(-45))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b + 17*b + 24*b - 60*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.56 - 1029?\nAnswer: -1030.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1944 and 31228.\nAnswer: 15176808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 5*a - 0*a + 5383, -a = -3*x + 8100. Let v = x - 89077\/33. What is the common denominator of -149\/30 and v?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2\/5, 42, 224, -39, -4\/5, 0 in descending order.\nAnswer: 224, 42, 7, 0, -2\/5, -4\/5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 47*f**3 - 786*f**2 - 11*f + 6. Let j(v) = -8*v**3 + v**2 + 2*v - 1. Give 6*j(m) + q(m).\nAnswer: -m**3 - 780*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735095 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + -2. Let j = 69 + h. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 0 + 13 + 43*m as t + n*m and give n.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.775 rounded to one dp?\nAnswer: -31.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -186*h + 24. Let a(r) = -37*r + 5. Give 14*a(w) - 3*y(w).\nAnswer: 40*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k**3 + 0*k)*(-6 - 4*k + 6).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*8907500\nAnswer: 1781500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -25*s + 13. What is the tens digit of o(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(1104\/120)*5*4\/50\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/142344 and 167\/158160?\nAnswer: 1423440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 445 (base 14) to base 15\nAnswer: 3b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 8*q**2 + q - 3. Let z be g(8). Suppose 0 = -5*v - z*p + 40, 0 = v + 5*p + 1 - 21. Suppose 5*a - v = 70. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 32 + 117*b - 15)*(32 + 53 - 16 + 29).\nAnswer: 11466*b + 196","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 12:20 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 3:44 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58\/5 + -449\/40. Which is the second smallest value? (a) y (b) 5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04138 and 0.4.\nAnswer: -0.016552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35890769, -71781527, -107672285, -143563043?\nAnswer: -179453801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/251675 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -84c - b0c2?\nAnswer: -b90e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 25*w - 43. Let d be a(-21). Let r(y) = -d + 5*y + 46 + 16*y**2 + 4*y - 5*y. What is the tens digit of r(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -439, -480, -537, -616, -723, -864, -1045, -1272?\nAnswer: -1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60664 + 2?\nAnswer: -60662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/7 (b) 39 (c) -4 (d) 3 (e) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*l - 609219 - 247147. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 104.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 11 = -w - 6, 0 = -2*u - 3*w + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:13 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/2 (b) 2 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4330702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48066 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 436860 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124416.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/24 and 7\/132.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2*s + 90*d**2 - d*s + 10*d + 214*s**3 wrt s?\nAnswer: d**2 - d + 642*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 102 + 127 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3233424223 + -11?\nAnswer: 3233424212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 + 10*f + 530. What is h(19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-12)*o)**(1\/5) assuming o is positive.\nAnswer: o**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0*l - 4*l - 4*l. Let b(o) be the third derivative of -1\/60*o**5 + 0*o**4 + 0 + 0*o + 6*o**2 + 0*o**3. What is b(c(p))?\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 times -792?\nAnswer: -102.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40396, 40401, 40406, 40411, 40416, 40421?\nAnswer: 40426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132 - 100 + 48)*(4*c - 3*c + c) + 43*c + 47*c - 17*c.\nAnswer: 233*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 25*r + 931. What is p(-37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21813 and 21813.\nAnswer: 21813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2295 is divided by 52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -11*n - 11*n - 11 + 7*n. Suppose 2*l + 4*a - 2 = 4*l, -3*l - 13 = -4*a. Let d(b) = 8*b + 6. Give l*d(f) - 6*s(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -7\/2*d**2 + 1\/12*d**4 + d**3 + 0 + 140*d. Factor p(f).\nAnswer: (f - 1)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/5 - 45*1. Let r = x - -64. Suppose -13*l + 17*l = r. Solve 4*f - l*q + 40 = 0, -3*q = 3*f + f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-792)\/135 + 5 + (-11)\/(-11).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 454.0711 + -0.0711. Let v = -454.00253 + m. What is v rounded to 4 dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/45 and 11\/341477.\nAnswer: 15366465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2897*w**2 + w. Let z(v) = 1187*v**2. Calculate r(z(y)).\nAnswer: 4081783193*y**4 + 1187*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**4 - 14562*g**3 + g**2 + g + 38294 wrt g?\nAnswer: 24*g - 87372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6ba (base 13) in base 9?\nAnswer: -1536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39327 + 161048. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 10*o**3 + 748. Let j(g) = -9*g. What is u(j(n))?\nAnswer: 2430*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.4292 rounded to zero decimal places?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.730028472 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**4\/5 + 3298*p**3\/5 + 352352*p**2\/5 - 717912*p\/5 = 0?\nAnswer: -1534, -117, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*t + 88*t = 123*t - 462 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 4*v - 4. What is m(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2*j**3 - 48*g**2*j**2 - 566*g**2 + 236*g*j**3 - 115*g*j wrt j?\nAnswer: 12*g**2*j - 96*g**2 + 1416*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(700) - (sqrt(700) + 1) - sqrt(700)))**2 + (3 + sqrt(700)*2)**2 + -3 + -2*sqrt(700)*-3 + (sqrt(700)*-2)**2 + -5.\nAnswer: 200*sqrt(7) + 6302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 3) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35.2 + -15. Let x = p - 20.17. Is x less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 0 - 2*y + 7\/6*y**3 + 1\/2*y**2. What is p(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(28)\/sqrt(4)))\/((2*sqrt(18))\/sqrt(2)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3392 * -1.529.\nAnswer: 5186.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a - 8. Let t(w) = -3*w. Give s(t(y)).\nAnswer: -27*y - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 5fd6?\nAnswer: 5fd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10500 and 2600500?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -660\/41 and -16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 490 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 - 1731\/19. Which is the fifth smallest value? (a) 1\/3 (b) -0.7 (c) t (d) 0.12 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 2187.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**7\/2100 - f**6\/60 + 4*f**5\/25 + 16*f**4\/15 + 7*f**3\/3 - 9*f. Let p(n) be the second derivative of a(n). Factor p(b).\nAnswer: 2*(b - 8)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnqki. Give prob of sequence qbn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.81 + 5. Let q = h - 0.19. Let f = 4 - q. Which is smaller: f or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 1:05 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 1 - 1) + -5 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*f - 122 = -59*f - 22 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -1970295, 25 in descending order.\nAnswer: 25, 2, -1, -1970295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/6 - (-9)\/(-54)*-26. Suppose 4*h + 10*f = 6*f - 4, f + c = 0. Solve -k - 6 = -h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -136 - -141. Suppose p*r = 15 + 10. What is the remainder when 42 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.43 - 13.4300006907. What is i rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 38658937 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - t + 40 = -2*t, 0 = -4*z + 3*t + 60. What is the remainder when 191 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2046*w**3 - 49*w**2 - 307*w + 3. Let v(u) = -2047*u**3 - 32*u**2 - 308*u + 2. Let r(n) = 3*v(n) - 2*x(n). Find the third derivative of r(g) wrt g.\nAnswer: -12294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 3*c + 12*c**2 - 3*c**4 + 2*c**4 + c + 12*c**3.\nAnswer: 4*c*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (1 - -3 - (-18 - -18) - -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 - -81. Solve -4*p + 7*p + 3*w + 15 = 0, 12 = -t*p - 3*w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 403.\nAnswer: 40.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 + 0*d**3 - 2*d**5 - 135*d**2 + 2*d**3 + 133*d**2.\nAnswer: -2*d**2*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 - 251\/4. Which is the nearest to 0? (a) -0.3 (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -428\/5 - -442\/5. Calculate the common denominator of t and (-2)\/(-7) - (-1466)\/(-84).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33374.\nAnswer: 2, 11, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, o: 4, v: 3, c: 3}. Give prob of picking 4 o.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27*(68 + (-10706)\/159).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34463 and 20.\nAnswer: 689260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -2*g - j - 5*j - 9, 166*j + 16 = 2*g + 164*j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 126707867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0 + 0)*(-3 + 0 + 0)*(0*z**3 - z**3 - z**3).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 22. Let t = u - 33. Let k = t + 47. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 = 192069*o - 192026*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**2 + 3*o**2 - o**2)*(-635 - 704 + 3*o + 1577 - 4*o) to w*o**3 + y*o**2 + a*o + h and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10659293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5346.25493 rounded to 0 dps?\nAnswer: -5346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzz when three letters picked without replacement from {z: 9, q: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1974 and 1985186?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k**2 + 2*k - 2. Let a be ((-125)\/15 + 9)*(9 + 0). Let c(s) = 13*s**2 - 4*s + 4. Give a*c(m) + 11*h(m).\nAnswer: m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 377*f - 371*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/22 + 84\/22. Suppose r*h - 50 = 3*c, 0*h + 3*h - 15 = 0. Let l = c - -14. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86d8 (base 15) in base 16?\nAnswer: -6f89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 690 and 17457.\nAnswer: 174570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24236*w**6 - w**2 - 1666?\nAnswer: 2908320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 0.4. Which is the closest to n? (a) -0.4 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 45*n - 8. Is u(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238049 * 163\nAnswer: 38801987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 31. Let a(d) = -11. Let p(v) = 17*a(v) + 6*h(v). Let s(t) = 28*t - 34. Let m(g) = -p(g) + s(g). What is the first derivative of m(f) wrt f?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 11*d + 6. Let f(p) = 336*p + 182. Let b(j) = 3*f(j) - 91*x(j). Let s(i) = 2*i**2 + 1194*i. What is b(s(m))?\nAnswer: 14*m**2 + 8358*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h + 32. Calculate p(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 11.0246675?\nAnswer: -13.0246675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 10) to base 7\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 + 99. Let x = 9 + f. Put x, -4, 0, -1\/2 in descending order.\nAnswer: 0, -1\/2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*y - 243981 - 247419. What is y rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2835 - 2497. Calculate the highest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*u + 1556 + 1378 - 1074 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.86038416 and -5.\nAnswer: 19.3019208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -10. Let h be -1 - 1491*q\/(-2035). Let i = h - 1\/185. Is -1 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8 = 2*j, -3*v - 20 = j + 2*v. Suppose 0 = -3*z - 3*q + 24, 3*z - 5*z + 31 = 5*q. Factor 2\/3*y**4 + 0*y**2 + 0 + j*y**z + 0*y + 2\/3*y**5.\nAnswer: 2*y**4*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.56 + 5.64. Let m = -6.3 + p. Let h be 5\/6*(-15)\/(-25). Which is the closest to h? (a) -0.4 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1570 or -134951\/86?\nAnswer: -1570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 1647?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 225, 224, 223, 222, 221, 220?\n\"Answer: -b + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 3*u - 3. Let f(h) = 13*h + 9. Let g(l) = -l - 4*l - 6*l + 4*l - 5. Let a(t) = -6*f(t) - 11*g(t). Calculate 6*a(n) + 2*s(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*(w*w**(3\/8))\/w))\/w)\/w**3)**(-19\/5) assuming w is positive.\nAnswer: w**(133\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -137, -312, -557, -872?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001053784 rounded to 5 dps?\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 28 - 214 = 83*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/13 (b) 0 (c) -0.06 (d) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 13*l**2 - 9*l + 11. Let s(m) = 6*m**2 - 4*m + 5. What is 9*s(g) - 4*v(g)?\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -4*v - 4*m - 60, -5*m = v - 51. Suppose 0 = 4*s - 7*s - 72. Let a = v + s. What is the remainder when 10 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Suppose z*w - 5*w = 4*m - 273, 60 = m - 2*w. Let d = m + -21. Round d to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from yzvvzaazvvz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + -1*32\/(-2). Suppose -4*m - 2*k = 2, 2*k + 2*k = 2*m - u. Let w = 2.96 + 0.04. What is the third smallest value in m, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ticsicccilcslcss. What is prob of picking 1 t and 2 i?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436040*i - 21 = 436037*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p - 20*p = -41*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 40 = 4*p, 3*z - 10 = 5*z. Let m = -994\/31 - -32. Let s = m - 23\/124. Which is the nearest to s? (a) 5 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 = -4*s + 3*b, -3*s - 5*b + 545 = -8*s. Let n be (-6 + s\/(-18))*3*-1. Let p(z) = 3*z + 1. Give p(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/54 and 1019\/243 - (55 + -51)?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3))**(-34) assuming k is positive.\nAnswer: k**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -860 - -1217. Does 31 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1806*z - 1817*z + f = -275, 1003 = -4*f + 1003 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 + 325 - 17 = 50*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 97573*s + 292728.\nAnswer: -(s - 3)*(s + 97576)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 622892, 1245787, 1868682, 2491577, 3114472, 3737367?\nAnswer: 4360262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = 5*j - 168 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three halves of a century?\nAnswer: 13800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6 - 376\/(-12). Suppose 0 = 3*c + k - 16, 5*c - b = 3*k + 19. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k + k)*(2 - 4*k - 2)*(-2 + 3 + 33)*(2*k - 11*k + 5*k).\nAnswer: 1088*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30789 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*v**2 + 265*v**2 - 528*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14113422 (base 5) to base 2\nAnswer: 100011010111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13646683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/81344 and 61\/61008.\nAnswer: 244032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2818 + 2818 + 3*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.4 and -28.\nAnswer: -39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2171, -2212, -2279, -2372, -2491, -2636, -2807?\n\"Answer: -13*y**2 - 2*y - 2156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 - 211*p - 2402. Let l be h(-13). Solve 3*t = 38*c - 34*c + 12, 5*t + 2 = l*c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95836 and 89813.\nAnswer: 453016772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/3 - -31\/12. Let s = -0.4 + 0.5. What is the third smallest value in i, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(4140\/(-216))*(-20)\/348.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + f + 2. Let r(t) = -t**3 + 8*t**2 + 9*t + 1. Let w be r(9). Suppose -2 = x + w. Let j be p(x). Solve -l - 4*y - j = 5, -y - 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -910.496534 to the nearest ten.\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -152 + (9 - 9) - -4*1. Round p to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzn when three letters picked without replacement from znnzz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2, -a - a - 5 = -3*b. Suppose 2*f - 4*x - 46 = -18, f + b = -x. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1221 = 63*j - 4935 + 864 for j.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exdeedefxt. Give prob of sequence dd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 92 = 22. Calculate the remainder when i is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -19*a**3 + 6*a**2 - 11*a - 3. Give o(2).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hffxfhxxxxhfxjfx. Give prob of sequence hjh.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2057) + sqrt(2057) + 2)*-3 - (5 + 1 + sqrt(2057) + sqrt(2057))) + 5*(sqrt(2057) + 4*sqrt(2057) + sqrt(2057) + 5))**2.\nAnswer: 6292*sqrt(17) + 995757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.8 in -1.015, -124, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sstzwwszzppwpbz. Give prob of sequence pws.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*p*z**3 - 140146*b*p - 128*p*z**3 + 2*p*z**2 + 155*p*z wrt b.\nAnswer: -2*p*z**3 - 140146*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 376, -5, -2\/13, -29, -1 in decreasing order.\nAnswer: 376, -2\/13, -1, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4037*z**6 - 1173*z**2?\nAnswer: -484440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**4 + 12*k**3 + 40*k**2 - 96*k = 0.\nAnswer: -3, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 3*m**2 + 7*m + 4. List the prime factors of u(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*w + 93, -3*m + 23 + 36 = -2*w. Solve -m = -3*u + t, -2*t + 2 - 6 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -672, -1346, -2020, -2694?\nAnswer: -3368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 25 and -1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2519374 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123.08012 - 123.2. Let y = 0.305 - 0.187. Let x = y + h. What is x rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126474*j**2*t**3 + 96299*j**2*t**2 + 55*j**2*t + 272*j*t**3 wrt t?\nAnswer: 758844*j**2 + 1632*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -19, -48, -89?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 875*d*g + 182276565*d + 53060*g wrt g?\nAnswer: 875*d + 53060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2142 is divided by 268?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3341046 by 3341046.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 264607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -81*l + 10. Let t = -18 + 21. Let b be a(t). Let n = b - -1169\/5. Is n equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/102)\/(((-28)\/(-9))\/2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 3*d - 18440. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*h + 5*h, 5*q - 5*h = 20. Solve -c + x - 2*x - q = 0, 11 = -5*c - 4*x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 165*a**6 - 29*a**5 - 842*a**3 - 39560*a**2 - 548*a?\nAnswer: 19800*a**3 - 1740*a**2 - 5052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 8*n**2 + 18*n - 47. Let p be w(-3). Suppose 0 = -g + 2*g - 3. Let b be (g\/5)\/((-1)\/(-5)). Sort p, b, -5 in descending order.\nAnswer: b, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -10 - 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 2:26 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13539897?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 9 + -13 + -7 + 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 q, and 1 g when three letters picked without replacement from {x: 1, g: 1, p: 3, q: 5}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 0, 167, -5 in ascending order.\nAnswer: -5, 0, 4, 7, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 105 in -6, -0.072, -0.3, -2?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiittm?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/33 + (-6)\/(-33). Let k be (25 - 24) + (m - 8081). Round k to the nearest 100.\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240339 is divided by 40051?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 18 + 6 = 0. Suppose 4*y - 4*w - 224 = -0*y, 175 = 3*y + m*w. Let k = 87 - y. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 11:25 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84198721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 34426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**16\/f))\/(f**7\/f))**(-3\/20) assuming f is positive.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.02, 31, 1\/5, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6f (base 16) to base 15\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 9:02 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u**2 - u + 2. Let c(k) = 17 - 15 - k - 4*k**2 - 6*k**2 + k**2. Determine -3*c(r) + 4*q(r).\nAnswer: -5*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 38, 1 in descending order.\nAnswer: 38, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 >= -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**6\/840 + i**5\/140 - i**4\/168 - i**3\/14 - 2*i**2 + 10*i. Let f(q) be the first derivative of x(q). Factor f(w).\nAnswer: (w - 1)*(w + 1)*(w + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13937*v - 7 - 3 + 13950*v)*((5 - 5 - 3)*(2*v + 2*v - 6*v) + 19*v + 546 - 546).\nAnswer: 325*v**2 - 250*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 377, -17, -1\/2, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -682*u - 30662. What is b(-45)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - v + 1. Let h(z) = 6*z**2 - 25*z - 8. Let g(u) = 3*u**2 - 14*u - 4. Let i(t) = -11*g(t) + 6*h(t). What is i(x) + 4*m(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -20. What is the closest to 0.1 in -3\/7, t, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -21*p + 120. Let z(m) = 19*m - 96. Let t(d) = -4*w(d) - 5*z(d). Let a(b) = -b**2 + 319*b. Calculate t(a(l)).\nAnswer: 11*l**2 - 3509*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7340 in -7, -0.16, 2\/13?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -365563.136154 + 365565. Let j = g - 1.866. What is j rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -836 or -835?\nAnswer: -836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*(-4*g**2 + 3*g**2 + 0*g**2) + (2*g + g - g)*(-4*g - g + 4*g) + 218*g**2 + 235*g**2 - 439*g**2.\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-6))\/(1\/(-30)). Let p(f) = -3*f**3 - 2*f**2 + 3*f + 2. Let z be p(3). Let x = b - z. What is the remainder when x is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.496608mm to nanometers.\nAnswer: 3496608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 15.5. Let h be ((-2)\/(-3))\/(4\/(-6)). Let x be (-1 - h)*(4 + -3). Which is the nearest to -1? (a) x (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 23 = 3*i, i - 5*b - 31 = -2*b. Suppose i = x + 3*x, -2*x = 3*l - 23. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 - 729 = 2*f - 282*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 40.9, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in seconds?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3003 - -5102. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3884 by 2.\nAnswer: 1942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 755 and 78726719.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47511960 + -73181169. Let u = n + 25669206.6899889. Let y = -2.31 - u. Round y to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3\/5 + 1626*h**2\/5 - 3258*h\/5 + 326 = 0.\nAnswer: -815, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + -0.55. Let b = -1 + 1.02. Let l = b + 0.18. Sort l, t, -0.1 in decreasing order.\nAnswer: l, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/90)\/(208\/3276).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 378722 - 378720. Determine l so that 4\/3*l**3 - 68\/9*l + 8\/3 - 16\/9*l**c = 0.\nAnswer: -2, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**6 + 264917*p**4 + 2*p**3 - 2*p**2 + 43*p + 61.\nAnswer: -120*p**3 + 6358008*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 417.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 19.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34354?\nAnswer: 2, 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 58210, 58311, 58410, 58507, 58602?\n\"Answer: -r**2 + 104*r + 58107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(36)*-1)\/sqrt(12))**2 + -4 + (sqrt(432) - (sqrt(432) + (sqrt(432) - (5 + 1*sqrt(432) + sqrt(432))**2)) - (sqrt(432) - (sqrt(432)*2*3)**2)).\nAnswer: 216*sqrt(3) + 17302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -2000212101000?\nAnswer: -2000212101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 12:27 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + 12. Let q = -35 + y. Solve -4*f = -12, -f + q = -u - 0*f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**5 + 6*p**4 - 30*p**3 - 24*p**2 + 99*p - 54 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44560.26 kilometers in meters?\nAnswer: 44560260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 11:32 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351701?\nAnswer: 7, 47, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -196595 divided by -959?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 5 + -7 + -7 + 10 - (2 - 15)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-60)\/(-11))\/((-56)\/(-308)) is divided by 0 + 17 - (0 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 26 + 42)*(-36 - 43 - 732*q + 79) to the form f*q + n and give f.\nAnswer: -45384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1644 = -4*q - 2*t, 0 = 3*q - 2*t - t - 1251. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 519 = 3*t - 756. Let a = t - 302. Is 123 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*b**2 + 2959*b - 98593 wrt b?\nAnswer: -30*b + 2959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 5 - 5)*(2*m**2 + m**2 + 8 - 2*m - m**2) as x*m**3 + d + l*m**2 + b*m and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 3, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1083, 1090, 1113, 1158, 1231, 1338, 1485, 1678?\n\"Answer: k**3 + 2*k**2 - 6*k + 1086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1050 and 138390?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -28. What is the nearest to i in 2, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d - 269. Let b be a(56). Solve -b*z + 8 = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 17 + 0 = g, j + 24 = -4*g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5 - 27 = 0. What is the smallest common multiple of m and 48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 + 3*m**3 + 4*m**4)*(-7 + 1 + 1) - m + m + m**4.\nAnswer: -19*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3048, 6001, 8954, 11907, 14860, 17813?\n\"Answer: 2953*t + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 6, 0.5.\nAnswer: -57, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -69680, 4, 1, 0 in increasing order.\nAnswer: -69680, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 73727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 248096939*o - 422153255?\nAnswer: 248096939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a - 16*a + 52. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -11*n**3 - n**2 + 3*n + 3. Let q be (0 + 1)*-2 + 0\/(-2). Is 3 a factor of v(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2216965872 to the nearest integer?\nAnswer: 47085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-1 - -9) - (-1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7235.000006398 + 7235. Round j to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = -b + 117 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1484392, 46 in ascending order.\nAnswer: -3, 46, 1484392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 9*x**2 - 5*x - 6. Let v be i(-3). Calculate the highest common divisor of 21 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = y + 135. Let t be (-114)\/(-27) - 6\/y. Suppose 2 = -4*g + 22. Solve -t*l - g = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6621097900 to the nearest one million.\nAnswer: -6621000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 4.5869071?\nAnswer: 0.229345355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 11:58 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*v - 5*o, -5*v + 4*o - 9 = 5*o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 3*m**7\/280 - m**5\/8 - 7*m**3\/3 + 2*m**2. Let h(o) be the first derivative of z(o). Find the second derivative of h(c) wrt c.\nAnswer: 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140604*t + 44 = -4*l - 140601*t, -34 = 2*l - 3*t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.574 and -5.\nAnswer: -4.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 882424.2ug to grams.\nAnswer: 0.8824242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4975 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1523, 1571, 1607, 1625, 1619, 1583?\n\"Answer: -x**3 + 55*x + 1469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x + 234. Calculate l(-30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2299) + sqrt(2299) + sqrt(2299)*1 + -2 + -1)**2 - (sqrt(133)\/sqrt(63) - -5*3*sqrt(19))*-5.\nAnswer: -364*sqrt(19)\/3 + 20697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 505285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -2, 3\/7, 2\/21 in ascending order.\nAnswer: -2, 2\/21, 2\/5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 7:29 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 19*z**2 + 19*z - 24. Let y be d(-20). Let l be (-1)\/y*440\/22. What is the remainder when 1 + (l + 18 - 1) is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/((-85293)\/(-78)) + 2338\/(-216))*-4?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*q + 189 = -319*q + 281*q - 223 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*q = 119*q + 20. Suppose 2*x = q*x + 3*x. Solve 0*j + 5*j + 10 = x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 + 3*a**3 - 6*a**3)*(-1 + 1 + 1)*(-4*a + 4*a - a).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 59.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -6. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 140 = 2*r. Calculate the highest common factor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**2\/6 + 736*l\/3 + 270848\/3 = 0.\nAnswer: -736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, -1, -64 in descending order.\nAnswer: 15, 3, -1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let t be v(4). Let g be 2\/4 + t\/8. Suppose 4*c = f, c - 2*f - 8 = -g. Which is smaller: -1\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -190580920.18 to the nearest 100000.\nAnswer: -190600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**4 - v**3 - 6*v**2 - 69*v + 1346 - 1338 + 70*v to the form u*v**3 + b*v**2 + z*v + d*v**4 + y and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**5 - 760*o**4 + 752*o**3 + 2284*o**2 - 3794*o + 1516 = 0?\nAnswer: -2, 1, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {v: 7, x: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 379933753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8943 + 2306. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11610)\/2322 + (-21)\/1\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in 4, -4, -8290?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*s - 5*l + 9, 17 = -3*s - 5*l. Suppose -4*f = 2*r - 509 + 97, f = -r + 101. What is the tens digit of (f\/20)\/(s*(-2)\/32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25171402807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 10:53 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(528) + sqrt(528)*1)*-2)\/(4*sqrt(24)\/sqrt(2)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -754 + 7533\/10. Find the common denominator of p and (-105)\/(-48) - (4 - (5 - 0)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnppnnn. What is prob of sequence pnp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 100846222 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at most as big as 24\/179515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**6\/120 - 7*l**4\/24 + 13*l**3\/6 - 136*l**2. Let w(i) = -i**3 - 5*i + 9. Give 5*o(k) - 7*w(k).\nAnswer: 2*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-28))\/(6\/8). Let h(j) = -119*j - 949. Let s be h(-8). Let q be -8*(-3)\/24*s. What is the closest to a in 1\/2, 0.03, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by (-75)\/60 + 474\/8?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2. Let a(v) be the first derivative of -v**4\/3 + 6*v - 3. Let t(r) be the first derivative of a(r). Give y(t(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44695.973479 + 44696. Round h to 3 dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -484 (b) 0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1417 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 1. Let a be w(0). Let i(u) = 1 - 2 - 9*u - 4*u + 0. What is the tens digit of i(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -963 + 176237\/183. Let g = n + 2432\/183. What is the common denominator of -99\/4 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 8*f**2 - 2*f + 1. Let l be o(3). Let q = l + -64. Is 126\/(-4)*(-4)\/q - -3 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42331493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71781 and 5325?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 1, -80, 5 in ascending order.\nAnswer: -80, 1, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 763\/(-1090)*4\/(-7)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 + -1893383168437.\nAnswer: -1893383168436.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52028 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -373*u**4 - 18015 + 18015 + (2*u**2 - 2*u**2 - 2*u**3)*(-4*u + 3*u + 6*u) + (3*u + 3*u - 7*u)*(-u**3 - 6*u**3 + 5*u**3).\nAnswer: -381*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/5680 and -61\/6232.\nAnswer: 4424720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Let w(z) = 5*z + l*z - 3*z. Let c(b) = -b**2. What is c(w(x))?\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/5, 3\/25, -3\/277.\nAnswer: -5, -2\/5, -3\/277, 3\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a - 16. Let f be h(6). Suppose -2*q = -f*r + 2 + 6, 2 = -q. Calculate the highest common factor of r and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h - 80734*h**3 - 20*h.\nAnswer: -80734*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-1)\/2*(-11 - -1). Suppose -o = j - 9 - w, -j = -5*o + 6. Suppose r - 3*d = 15, 0 = -r + 5*d - d + j. What is the smallest value in -1, 0.5, -4, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(7) - (sqrt(7) + (sqrt(7) + 1)*-3)) + sqrt(7))**2 + (sqrt(175) + 3 - sqrt(175)) + 0.\nAnswer: 16*sqrt(7) + 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y\/(y*y**6*y)))*y\/((y*y**(-6))\/y))**(-3\/5))**8)**(-2\/23) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*s + 2*c - 12, 2*c = 0. Suppose -s*v = w - 3, 10 = -5*w - v + 97. Let p = w - 13. Solve 0 = 5*y - f + 24, 0 = -y + 6*y - p*f + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/14 - ((-20)\/(-190) + 3124\/(-5852)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596181003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7987*y**4 + y**2 + 58*y + 2?\nAnswer: -191688*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*x - 83*x + 756. Let f = 19 + 7. What is the remainder when f is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + 6*g - 2. Let m be w(-2). Let p(q) = q**3 + 8*q**2 + q + 2. What is the units digit of p(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + m - 3*m)*(625 + 329 - 420 + 509)*(5 + 1 + 0).\nAnswer: -6258*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335004 (base 6) to base 3.\nAnswer: 1102211011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1734 + 1734. Suppose 4*f - f = 0. Suppose w + 3\/7*c**2 - 3\/7*c**3 + f*c = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5461429.\nAnswer: 433, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 59) + -41 + -38?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from lxcgcmmxxccmlkm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1244, 5424, 12382, 22112, 34608?\nAnswer: 49864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/2 + 9*z**3\/2 - 132*z**2.\nAnswer: 3*z**2*(z - 8)*(z + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64630243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1231)\/(-138) - (-114)\/(-1311) and -36\/17.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 + 2*x**2 + 3*x**2)*(2*x - 6 + 6) + 2*x**3 - x**2 + x**2 as i*x**2 + t*x + g*x**3 + f and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-17)*a**17*a)\/(a*a**(-8)*a**(-2\/13)))**3 assuming a is positive.\nAnswer: a**(357\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 9:58 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2267176 and 9635498.\nAnswer: 38541992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f + 684. What is the third derivative of -12*c**2 + 171*c**3 - f*c**3 - 12*c**6 wrt c?\nAnswer: -1440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70.1 - 2.9. Let d = 12324186137.00000149 - 12324186210. Let u = d - j. Round u to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by (-9 + (3 - -1))*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 220721 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-633 - -651) + 384\/(-3).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*b**2 - 63*b**2 + 191*b**2 - 71*b**2.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*b*g**2*s + 10*b*g*s - 166706*b - 19*g**2*s - 1374455*s wrt b?\nAnswer: 28*g**2*s + 10*g*s - 166706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*l + 3*l - 6*l)*(-2 - 1 + 5) + 0 + 0 - l + 1 - 1 - 5*l + 0 - 2*l + 0)*(2*l - l + 0*l).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**(-5)*j)\/j)*(((j*(j**(-1\/13)\/j)\/j*j)\/j*j)\/j)\/j*j)\/(j**7*j**(-3\/8)) assuming j is positive.\nAnswer: j**(-177\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a century in months?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) -559 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2403*k - 117168 - 110573 = -3493*k + 1599*k for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3500344 is divided by 875081?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*z = 3*v - 106*z, 63*v + 15 = 59*v - z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, 1\/2, -18.\nAnswer: -18, 0.2, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*sqrt(1584) - (sqrt(1584) + ((sqrt(1584) - (sqrt(1584) + 0 + sqrt(1584))*5) + sqrt(1584) - sqrt(1584))))**2 - 6*(4 + sqrt(1584)*2 + 0).\nAnswer: -1584*sqrt(11) + 228097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -433.8 + 432.7. Which is greater: r or 21\/4?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 4*f - 6*f)*(-4 - 1 + 4) - 2*f + 9*f + 0*f + 361*f + 1448*f - 80*f.\nAnswer: 1735*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12724886*w - 3717577?\nAnswer: 12724886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5675*z + 200. Let m be h(32). What is m rounded to the nearest 1000?\nAnswer: -181000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - b)*(-69*b + 16*b + 34*b).\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.28192 + 11.23. Round o to three decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 6:50 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40514 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12*l**2 - 11*l + 2. Let f(x) = 56*x**2 - 55*x + 11. What is 2*f(k) - 11*u(k)?\nAnswer: -20*k**2 + 11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (314*x**2 + x**4 - 127*x**2 - 144*x**2)*(1 - 2 + 3) + 2*x**4 + x**4 - 4*x**4 to the form z*x**3 + k*x**2 + w*x + u + h*x**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.81 and 0.9892?\nAnswer: -3.768852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*d - 1 - 4696*d + 1 + 4571*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/7 - 9*l**2\/7 - 264*l\/7 + 180.\nAnswer: 3*(l - 7)*(l - 6)*(l + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18556, -74611, -168152, -299179, -467692, -673691, -917176?\n\"Answer: -18743*h**2 + 174*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 6 = 2*t, 2*t + 6 = 8*y - 7*y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 935*u + 11371. What is d(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 5) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + (-4 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(-3*-1*sqrt(2)))\/(2*(2*sqrt(432) + sqrt(432) - sqrt(432))).\nAnswer: sqrt(13)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**4 + 125*f**3 - 120*f**2.\nAnswer: -5*f**2*(f - 24)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-6\/11))\/m**3)\/(m**(-1))**(-8\/13) assuming m is positive.\nAnswer: m**(-452\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrjhhhrqhhhh. What is prob of sequence qhj?\nAnswer: 7\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1466, 6, -4, -1\/5.\nAnswer: -4, -1\/5, 6, 1466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1965 - -1981. Let h = 20 + -36. Let r = 24 - h. Calculate the greatest common factor of r and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(363) + -2*(0 + sqrt(363))**2).\nAnswer: -66*sqrt(3) + 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -34, 2, 1060 in increasing order.\nAnswer: -34, -1, 1, 2, 1060","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -145.838 + -0.162. Let y = n + 145.8. Which is the closest to -2? (a) 0.5 (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(11) + sqrt(22)\/sqrt(2)) - sqrt(11)*1*-4.\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -490 (base 10) to base 4.\nAnswer: -13222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/(-70))\/((-1)\/30) - (-90)\/(-16). Let a = 0.6 - 5.6. Let t = 1 - 1. What is the nearest to t in 1, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/(-28))\/(545\/1526)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/4 + 33*m\/4 - 8 = 0.\nAnswer: 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4320, -4333, -4362, -4413, -4492, -4605?\n\"Answer: -z**3 - 2*z**2 - 4317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + a + 13 + 150, 5*y - 5*a - 155 = 0. Suppose -2*u + l = 2*u - 19, -y = -3*u - 3*l. Suppose -21 = 3*b - u*b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9711.7 rounded to the nearest ten?\nAnswer: -9710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4, 0 = 5*g + s - 7 - 14. Suppose 0 = 3*p + k - 143, p = -g*k + 58 - 3. Suppose p = 4*w + 3. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*i - 42*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (1564\/138)\/((-4)\/(-6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-6)\/6)\/((-4)\/2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.56 + 0.56. Let x = -53\/80 + 9\/16. Sort 0.1, x, z in decreasing order.\nAnswer: 0.1, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2843564 divided by 710891.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*s + 257*s - 121 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -478051, -955737, -1433423, -1911109, -2388795, -2866481?\n\"Answer: -477686*f - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110123568 and 4710.\nAnswer: 550617840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2)*(-48)\/(-144))\/(-4)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 750 and 654250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 6*j - 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -771, -6043, -20351, -48213, -94147, -162671?\n\"Answer: -753*p**3 - p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 214 + 280. Calculate the highest common factor of 130 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -33917, -13 in increasing order.\nAnswer: -33917, -13, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16277 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-1)\/2)\/(11\/(-704))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 807, 1579, 2361, 3159, 3979, 4827, 5709?\nAnswer: 6631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4976*a - 5004*a = 1484 for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, j: 7, t: 7, f: 3}. What is prob of sequence jtot?\nAnswer: 49\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (-901)\/(-85)) + 3948\/(-70)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(210)*-1 - sqrt(210)))\/((sqrt(110) - sqrt(110)*2)\/sqrt(11)))\/(sqrt(175) + 4*(-1*sqrt(175) - sqrt(175)) - 3*-1*sqrt(175)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n - 24. Let c(i) = -2*i - 12. Let x(k) = 5*c(k) - 2*v(k). What are the prime factors of x(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k. Let z(h) = -3*h**3 + 5*h. What is 2*q(s) + z(s)?\nAnswer: -3*s**3 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mumuums. What is prob of picking 2 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 16 (b) 2\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 9:52 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (726\/(-1089))\/((-1)\/(-30))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 7*q**2 - 6*q + 5. Let n be w(-5). Let l be (-18)\/n + -2 + 1. Which is the second smallest value? (a) 0.1 (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqiid. What is prob of sequence di?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1370*j + 570 = -1427*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3774.8292 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 870936 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*l + 0 + 6 - 1147*l**3 - 5 + l**4 + 3*l**2 + 1164*l**3 + 28*l in the form q*l**3 + a + t*l**4 + h*l + b*l**2 and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-728)*-21)\/(12\/(-672)*7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/5)\/(7\/(-14)). Let d be ((-2)\/3)\/(2\/(-141)). Let v = 236\/5 - d. What is the nearest to 1\/4 in p, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68 and 1.0751?\nAnswer: 73.1068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, -0.097, -3\/4.\nAnswer: -3\/4, -0.1, -0.097, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 - 48. What is the highest common factor of l and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 354 (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5 - 0. Let j be (4\/i)\/(4\/(-10)). What is the remainder when 4 is divided by ((-3)\/(-9))\/(j\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 4664.\nAnswer: 46640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r - 12*r**2 - 38 + 9*r**2 + 4*r**2. List the prime factors of z(21).\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - -14) + -20 + -4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 3, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 3*d**2 + 4. Let q be z(-3). Suppose q = 2*l - 18. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77 + 33 + 56)*(0*k**2 - k**2 - k**2 + 3).\nAnswer: -332*k**2 + 498","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49897 and 4387?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2 + 64*b + 288 = 0. What is b?\nAnswer: -4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3\/4 - 152143*n**2\/4 - 684689*n\/2 + 380380 = 0.\nAnswer: -10, 1, 152152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -107*c**5 - 40*c**3\/3 - c**2\/2 - 343. Find the third derivative of l(b) wrt b.\nAnswer: -12840*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 - -1.23. Which is the smallest value? (a) 1 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 2*v**2 + 2*v - 4. Let h(b) = -b**2 + b. Let f(q) = -d(q) - 2*h(q). Calculate f(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3 (b) 1\/21 (c) 2\/545 (d) 3\/227 (e) 4 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -24 + 72. List the prime factors of (9 - -94 - (-1 - 1)) + u.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxdddxccyjdddydxydd. Give prob of picking 3 d.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h - 26*h + 7*h + 3*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 529 divided by -258\nAnswer: -529\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 - 3*w**3 + 14*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2 + 5*m - 6. Let h(b) be the third derivative of -3*b**5\/20 + 3*b**4\/8 - 11*b**3\/6 - 11*b**2 + 4. Give -5*g(l) + 3*h(l).\nAnswer: -2*l**2 + 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*-100*3\/6?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 26 + 0)*(-y - 3*y + 13*y).\nAnswer: 225*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5537 is divided by 142?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/5 + 36*f**4\/5 + 142*f**3\/5 - 1056*f**2\/5 - 712*f - 480 = 0. Calculate f.\nAnswer: -5, -2, -1, 6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - 2) + 4\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (318 - 293) + (1 - 20) + (-5 - -3 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}