diff --git "a/data/dm_maths/full_data/11231_11255.jsonl" "b/data/dm_maths/full_data/11231_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11231_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 15 - (-53 + (2 - (-1 - -5) - -4))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4 - 2*k**3 + 243*k**2 + 11082470*k - 1.\nAnswer: -12*k**2 - 12*k + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4026 = -622*n + 616*n. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 5*u + u)*(126*u**2 - 230*u**2 + u + 115*u**2)*(-488 + 488 - 55*u).\nAnswer: -605*u**4 - 55*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b - 19*b = 36. Let c(x) = x**2 - 8*x + 3. Give c(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -7. Let v = y - 8. Let r = 8 + -4. What is the third smallest value in r, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3\/v)\/v**3)\/(v**1)**(1\/42)*(v**(-2\/5)\/(v\/v**5))**8 assuming v is positive.\nAnswer: v**(5833\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/104318 and 93\/430.\nAnswer: 521590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -30)\/((140\/(-15))\/(-7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 0.1 (c) -3 (d) -1.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + 5*(0 + sqrt(72)) + 2 + sqrt(72) + -3)**2.\nAnswer: 288*sqrt(2) + 2608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/98 and 139\/216?\nAnswer: 10584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, -5, -3.4 in ascending order.\nAnswer: -5, -3.4, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b - 569. Let s be q(85). Solve -32*l = -367 + s for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.67 in -0.1, -28, -16\/23, 0.5, 4, 1?\nAnswer: -16\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 2, 1 in descending order.\nAnswer: 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -4685.\nAnswer: 4683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 0*g**2 - 2*g**2)*(-g**3 + 3*g**3 + 0*g**3) - 3*g**5 + 8 - 8.\nAnswer: -5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q. Let n be (-9)\/(-6)*-1*2. Let z = -3 - n. Let f(r) = z*r + r + 0*r. Calculate f(t(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 23*x**3\/6 - x**2 + 6*x. Let n be q(2). Calculate the remainder when (20\/(-8) + 3)*n is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94361, -94401, -94441, -94481, -94521, -94561?\nAnswer: -94601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13298562 - 5?\nAnswer: 13298557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**44\/(a**(3\/5)*(a**(3\/8)*a*a)\/a*a) assuming a is positive.\nAnswer: a**(1641\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5ccbb (base 13) to base 6\nAnswer: -3401143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4407 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12*i**2 + i + 9. Let n(r) = 3*r**2 + 2. Suppose 4*d + 4*k = 40, 2*k + 16 = 3*d + d. Suppose 9*s - 6*s = -d. Calculate s*z(c) + 9*n(c).\nAnswer: 3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 403042 to the nearest 10000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.366843582 rounded to 2 decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2010 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 89*m**2 - 174*m + 56. Let s be r(87). Calculate the highest common divisor of 6776 and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/35 - -1) + -2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -395, -82, -111, -2 in decreasing order.\nAnswer: 3, -2, -82, -111, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -11. Let a be 1\/2 - (-4)\/l. Suppose d = -5*c - 12 - 5, 2*d - 3*c = 5. Put d, a, 3 in increasing order.\nAnswer: d, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695471820 a multiple of 1080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t + 13. What is the tens digit of x(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4014*o - 2964 = 3957*o. What is the remainder when 160 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 8*a**2 - 11436*a + 68698. What is x(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 19902729?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7189742 kilograms in milligrams?\nAnswer: 718974.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57096 - -129904473.\nAnswer: 129847377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:38 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*b - 0*b + 164, 0 = -4*h + 2*b + 214. What is the greatest common divisor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 84790 - 18135. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 90 (c) -3\/5 (d) -4\/21 (e) 4 (f) 3 (g) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/5 of a decade in months?\nAnswer: 1032","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 122129880*q + 745785379440720.\nAnswer: 5*(q - 12212988)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 30)*(7 + -3). Let h = 129 + f. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/40, -1921, 1403.\nAnswer: -1921, -2, -1\/40, 1403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**16\/v**(-1)*(v*v*v*v**(4\/9)*v)\/(v\/((v\/(v**(-4\/5)*v))\/v*v)*v) assuming v is positive.\nAnswer: v**(911\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/2021? (a) -0.9 (b) 2\/7 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14990*q**2 - 14989*q**2 + 27*q + 29983*q**2.\nAnswer: 4*q**2 + 27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 690904?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -1\/103906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44154 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-392)\/(-63) + 4\/(-18). Let k be (-4)\/q*-5 + 46\/(-138). Suppose k*f = 0, -f + 9600 = 3*i + f. What is i rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 666*u + 7162 = 151*u - 6007 + 4414 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 9. Let l be k(3). Let f(u) = -u**3 - 3*u**2 + 4*u + 5. Let z be f(-4). Solve -l*o - v + 3 = 2, -o + 2*v = -z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 10 + 2, 5*o - 5*v = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, -14\/43, -0.1?\nAnswer: -14\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*i - 4. Let b(s) = -4 + 4 + 4*s**i. Let v(g) be the first derivative of -5*g**2\/2 + 233. Determine b(v(k)).\nAnswer: 100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 117, -18 in ascending order.\nAnswer: -18, 3, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6386 is divided by 213.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**8\/1050 + n**7\/700 + n**6\/900 - 5*n**3\/3 - 3. Let f(h) be the third derivative of d(h). Factor f(j).\nAnswer: -2*j**2*(j - 1)*(4*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307554.\nAnswer: 2, 3, 13, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/13)*r*(r*r*r\/r**(-21))\/r*r)**(1\/33) assuming r is positive.\nAnswer: r**(109\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 60*d**3 - 108*d**2 + 30240*d + 254016.\nAnswer: (d - 42)**2*(d + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from ewlw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -14*p**2 - 10168*p - 80442. Calculate c(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131231 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3864*l**2 + 141 + 561*l + 129*l**4 + 546*l**3 - 3*l**5 - 2941*l**2 + 7639*l**2.\nAnswer: -3*(l - 47)*(l + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5960 and 84.\nAnswer: 125160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 141*i + 1347. Calculate g(146).\nAnswer: 2077","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -11*h + 9*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -3 - 18) + -14.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-32)\/(-252))\/((-4)\/(-14)). Which is the nearest to 1? (a) i (b) -2 (c) -2\/9 (d) -12\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2827, -1.1, -10 in decreasing order.\nAnswer: 2827, -1.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.491 + -0.491. Let u = 0.03 - 2.03. What is the closest to j in 0.5, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8601946813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1387, 1381, 1373, 1363, 1351, 1337, 1321?\n\"Answer: -m**2 - 3*m + 1391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1027\/3 + 3 + (-21)\/9. Let s = -187 + m. Calculate the greatest common factor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -10. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -119, -236, -387, -566, -767, -984?\nAnswer: -1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/5)*n**(-2\/7)\/n)\/((n\/((n*n*n**(1\/3)*n*n)\/n))\/(n*n\/(n\/(n\/((n**(-2\/5)\/n)\/n)*n)*n*n))))**(-9\/2) assuming n is positive.\nAnswer: n**(-159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmkmmkmmkk. Give prob of sequence mmmm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -314 + 314. Sort x, -103, -3, 4 in decreasing order.\nAnswer: 4, x, -3, -103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 - 1 + 1)*((6*j - 2*j - 2*j)*(j - 2 + 2) + 40*j - 40*j + 5*j**2).\nAnswer: 14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -4*r + 746. Let w = r + -498. What is w rounded to the nearest 10?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -3*n + 401. Let p = 248 - n. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -0.3. Let p = -136 + 208. Let i = p + -507\/7. What is the third biggest value in -4, w, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*r = -8, -73 = -3*r - 85. Which is smaller: -2\/379 or a?\nAnswer: -2\/379","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h. Let a(t) = 4*t**2 - 2*t. Let y(x) = -x**2 - x. Let m(i) = -a(i) + 2*y(i). Determine b(m(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/3)\/((180\/9)\/(-10))*(-1)\/43.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*sqrt(7)*2 + sqrt(21)\/(sqrt(9)\/sqrt(3))).\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuus when four letters picked without replacement from sssszuaasuassbds.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1593 - 608. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 a when four letters picked without replacement from ajsanzanjn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4443 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(1\/7)*x*x)*x)\/x**(1\/5) assuming x is positive.\nAnswer: x**(-12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 51 + ((3\/4)\/3)\/(279\/1116)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 48. Let z(j) = -38*j**3 + u*j**3 - 14*j**2 + 7*j + 13 + 12*j. Is z(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f - 2. Let r be (-1)\/(((-3)\/(-5))\/(-3)). Let u(y) = -3*y + 3. Let c(h) = r*w(h) + 3*u(h). Let d be (-5 - -5) + (5 - 2). What is c(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.8 from 6830954804.\nAnswer: 6830954815.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 50 = -0*q. Suppose -5*h - q = -0. What is the lowest common multiple of 1 and (42\/(-12))\/(h\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, -0.02, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -483e (base 16) to base 10\nAnswer: -18494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + n = -0*v - 11, -4*n - 17 = -3*v. What is the first derivative of 81*u**3 - 66*u**v - 53 + 9 wrt u?\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1894, -1888, -1884, -1882, -1882, -1884?\nAnswer: -1888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.98 + 1.38. Which is the nearest to -2? (a) 0.3 (b) 0.6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 12 = -5*o. Suppose -2*d + 2 = 3*w - o*w, -5*w = -4*d - 8. Let g = 1 + -2. Sort -3, g, w in descending order.\nAnswer: w, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d + 85. Determine j(24).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p + 16 = 0, 4*p = 4*w + 16. Let f(u) = -u + 5. Let r be f(w). Solve -5*y - b + 25 = -2*b, 0 = r*y + 2*b - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -33. Let w = 32 + q. Suppose -4*g + 3*g + w = 2*o, 4*o = 5*g + 61. Which is smaller: 8 or o?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-129)\/(-4515)*14)\/((-3)\/((-75)\/(-2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 + 3*l**2 + 5*l**2 + 16 wrt l.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 907.243 millilitres?\nAnswer: 0.907243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**4\/3 + 8*o**3\/3 + 8*o**2 + 5*o - 19. Let p(r) be the first derivative of u(r). Factor p(d).\nAnswer: 4*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426169741 take away -0.08?\nAnswer: 426169741.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 4 + 15 + -18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*z - 341*z - 6*z.\nAnswer: -737*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14280 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-2\/13)*k*k))\/k)\/k*k**(-2\/11)*(k\/k**0)\/((((k**(-6)*k*k)\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(568\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000100 (base 2) to base 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5 + 2 + 3*w**3 - 2*w**2 - 6 - w + w**2. Let b be g(1). Let a be (12\/8)\/((-6)\/(-32)). Solve b*v - 2*x - a = 0, -v + 5*v = 3*x + 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 53415?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_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: Determine d, given that 4*d**4 + 1444*d**3 + 122112*d**2 + 2514240*d - 28684800 = 0.\nAnswer: -249, -60, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -63*s - 4 + 25 + 31*s - s**2 + 27*s. Determine n(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14998214, -14998211, -14998208, -14998205, -14998202, -14998199?\n\"Answer: 3*q - 14998217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 14*q + 10. Let d = 10 + -5. Suppose 0*h + 39 = -3*b - 3*h, b - d*h = 11. Does 23 divide z(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6560*x**2 - 46937.\nAnswer: -13120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 415, 548?\nAnswer: 681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-78)\/(-18) - (10\/3 + -3). What is the remainder when (5010\/45)\/(c\/6) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z - 7 = 41*z. Let q(p) = 2*p - 4. Suppose -3*k + 24 = -0*k. What is the remainder when q(k) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300540 (base 6) to base 16\nAnswer: 5bec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19830, -39659, -59488?\n\"Answer: -19829*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 90\/40 - (-1)\/(-4). What is the derivative of -8 - w + 3*o - 3*o - o wrt o?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = -5*s + 23, 0 = 3*t - 9. Calculate the smallest common multiple of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/80 + -433\/560. What is the common denominator of ((-245)\/(-60) + -4)*194 and j?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 4. Let l = 3 - d. Suppose -5*g + 33 = 2*f + l*f, 5*g = 3*f + 19. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 423.409 in -1\/5, -0.4, 2\/7, 1\/8, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 341212023023?\nAnswer: 341212023013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -10*j. Let i be u(-11). What is the common denominator of (6\/32)\/((-15)\/i) and -39\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.460052619 to one decimal place.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**5\/40 - k**4\/24 - 3*k + 3. Let b(a) be the first derivative of h(a). Suppose b(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 57, 70, 99, 150, 229, 342, 495?\n\"Answer: u**3 + 2*u**2 + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-60) - (-1552)\/60. Solve -5*v = -0*w + 3*w - 28, -5*v + x = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 9:38 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 6*m - 2*m + 14, m = -1. Solve -10 = -p*i - 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 z when four letters picked without replacement from zzjjjjjzjzj?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 5*s - 9. Let n be z(7). Suppose -4*o - 315 = -n*b + o, 0 = 2*b + 4*o - 150. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25809495?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 10*n - 52. Let t(u) = -15*u + 53. Determine 4*m(k) + 3*t(k).\nAnswer: -5*k - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7423 (base 10) in base 2?\nAnswer: -1110011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -8*p + 30. Suppose 14*r + 1410 = 24*r. Suppose 0 = 2*n - 91 - r. Calculate the remainder when n is divided by c(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 25\/2. Let n(c) = 2 + 4*c + 2*c - 5*c. Let t be n(-3). What is the second smallest value in t, l, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 - 8*h**4 - 5*h**4)*(3*h - 4*h + 7*h + 0*h - 2*h + 3*h + (-3 + 1 + 1)*(-3*h + h + 4*h) - 4 + 4 - h + 4*h - h - 4*h - 3*h - 3*h + 4*h)*(-1 + 0 + 0).\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -107265.04 and -78455.\nAnswer: -185720.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55630070 and 8.\nAnswer: 222520280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12\/48)\/(3\/29364).\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508023899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -12*g - 72. Let s = 4 - g. Let j(o) = -3*o + 2. What is the least common multiple of j(-6) and s?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 3*h**2 - 206. Let u(n) = 7*n**2. What is j(u(b))?\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (73 - 1\/3*3) + -1?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -808, -810, -812, -814, -816, -818?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1454 - 1259. Calculate the greatest common divisor of s and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3629 divide 103091402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474*z**2 - 1400*z**2 + 322*z**2 - 230*z**2.\nAnswer: -1782*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o**12*o)\/o)*o**(1\/15)\/o)\/((o*o**3)\/o**(-5)) assuming o is positive.\nAnswer: o**(-329\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-105 + -9)*79\/2. Let i = -72149\/16 - y. Find the common denominator of i and -17\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**6\/30 + h**5\/30 + 2*h**2. Find the third derivative of n(m) wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 594289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 274667813, 274667811, 274667809, 274667807, 274667805, 274667803?\n\"Answer: -2*h + 274667815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*x**2 + 15*x**2 + 2867 + 12*x**2 - 47*x**2 to y*x + g*x**2 + j and give j.\nAnswer: 2867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -774407725*d**2*x**2 + 661*d*x**2 - 12*d - 4*x**2 + 2509 wrt d.\nAnswer: -1548815450*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 438 - 431. Let w(r) = 85713*r**2 + 10*r - 7. Let m be w(g). Round m to the nearest one hundred thousand.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 14*m**2 - 6*m - 19. Is s(-12) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 15. Give q(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = 7*w - 33. Let g be w\/12 - 11\/4 - -18. Is 6 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + -1 - (4 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111374389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -4*x + 94. Let a = -18 - x. Let b(d) = -a*d + 11*d + 17*d. Let l(n) = -7*n**2. What is l(b(m))?\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 186 - 42. Suppose -v + a = -35. Suppose 196 + v = 5*f. What is the greatest common divisor of f and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2246.8 * -21.301\nAnswer: -47859.0868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -112082?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (156\/(-91))\/((-2)\/14). Let a be 217\/4 + (-3)\/c. Suppose 2*q + a = 5*q. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-6) - 0)\/((-5)\/195). Suppose 6*b + i - 73 = 0. Find the first derivative of 4*c + 13*c + b*c - 32 wrt c.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 5*c - v, 3*c - 3*v - 1 + 13 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1864 and 41926253?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c + 10?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (2 - 0 - -6). Let i = w + 0. Calculate the remainder when 19 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3189 a factor of 131584518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.15, 1462, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + 2*sqrt(45)\/sqrt(3) + sqrt(15) + sqrt(15))\/sqrt(3).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8125625, -16251250, -24376875, -32502500, -40628125?\nAnswer: -48753750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5706, 3, 2 in descending order.\nAnswer: 5706, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7695 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-6))\/(3\/(-27)). Suppose -2*m + 2 = -3*a + 3*m, b*a - m = 2. Let n = a + 1. Solve g = n*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/2549664 and 19\/3168.\nAnswer: 28046304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000982871 to six dps.\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*g - 2*g - 18*g + 39*g as d*g + m and give d.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, j: 6, q: 4}. Give prob of picking 3 j and 1 q.\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2044?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*b - a, -3*a = -b + 2*b + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -46. Let t(m) = -m**2 - 14*m - 16. Let i(n) = n**2 - 6*n - 6. Let j be i(5). What is the remainder when u is divided by t(j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2966126 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119482183*o**3 + 70363814*o**2.\nAnswer: -716893098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131475839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 v when three letters picked without replacement from {l: 16, v: 4}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddb when three letters picked without replacement from bbbbbbdbdbb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9787247 to the power of 1\/2, to the nearest integer?\nAnswer: 3128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 - 49*v**2 + 16*v + 85. Give b(24).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10605 + 21656 + 785 = -438*y - 3308 for y.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 275\/7. Let u = -0.07 - 0.23. What is the second biggest value in z, u, -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 155? (a) 0.3 (b) -3 (c) -62 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 55 - -12) + 25.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47 take away 0.05?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*y**3 - 2*y - 25*y**3 + 20*y**3 + (5*y**2 - 2*y**2 - y**2)*(-2*y + y + 0*y) - 3*y**3 + 3*y**3 - 3*y**3.\nAnswer: -25*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 20*w**2. Let p(y) = y + 6. Let u(s) = 3*s + 11. Let c(z) = 7*p(z) - 4*u(z). Let k(t) = -t - 2. Let j(a) = -c(a) + k(a). Calculate j(d(n)).\nAnswer: 80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3169741*z**6 - 6638*z**2 - 258.\nAnswer: 380368920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*h + 1 = 13, -h = 5*b - 4. Suppose s + 5*i - 1 = b, 3*s + 5*i = s + 12. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -68839, -0.5, 0.11 in decreasing order.\nAnswer: 0.11, -0.5, -68839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, w: 3}. What is prob of picking 3 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -337675*x**4 + 1915022 wrt x?\nAnswer: -1350700*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16689844 and 4331.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, i: 6}. Give prob of picking 3 i.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*h + 0*h = 414, -4*h - 620 = 3*g. Let c = 446 + g. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-18)*z**2)\/(z**(1\/8)\/(z*(z*z\/z**(4\/11)*z)\/z*z)) assuming z is positive.\nAnswer: z**(2157\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-456)*6*2\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/5 - 339*g**3\/5 - 14542*g**2\/5 - 71961*g\/5 - 76356\/5 = 0.\nAnswer: -101, -63, -4, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3124697 a multiple of 831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 w when three letters picked without replacement from {l: 1, v: 2, k: 5, w: 2, q: 8, i: 2}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 213*k + 8678. Calculate a(-56).\nAnswer: 3022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6761 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*l = -231*l - 71*l - 9849 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*p + 193, -p = -2*p + 3*g + 49. Suppose 2 = 5*m - 4*m. Suppose -146 = -m*n + n. What is the remainder when n is divided by p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1448 - 3.1448. Let h = 316.97 + -319. Let z = 0.03 + h. Put 3\/2, i, z in ascending order.\nAnswer: i, z, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -51*r + 8420. Give b(154).\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + -1)\/(6\/(-8)). Solve -3*n - j = 0, i + 10 = 11*n - 13*n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578650.\nAnswer: 2, 5, 71, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2855084*k**2 + k - 3965700 wrt k.\nAnswer: 5710168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 24*t**3 + 3*t**2 + 3*t + 1. Calculate b(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 1 = 3*q - 8, -q = -c + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/102*27\/72*-4)\/(-1)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(78)*2 - sqrt(78))\/sqrt(6).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636946.\nAnswer: 2, 318473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-7890210\nAnswer: 157804.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, -54, -184, -440, -864?\n\"Answer: -7*c**3 + 3*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 3*d**2 + 10*d - 1. Let x be b(4). Suppose 3*l - 7*l = -20. Calculate the greatest common divisor of x and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 17*r - 12*r - 17 + 38.\nAnswer: -29*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5\/5 - 4260*p**4 + 641319*p**3\/5 - 2716404*p**2\/5 + 179796*p + 855600 = 0. Calculate p.\nAnswer: -7130, -1, 2, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3537 + -3536.5. What is the fourth smallest value in -11, 4, y, -4, -1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 50*f**4 + 135*f**3 - 530*f**2 + 90*f. Let r(k) = 25*k**4 + 67*k**3 - 265*k**2 + 44*k. Let g(j) = 3*c(j) - 5*r(j). Factor g(h).\nAnswer: 5*h*(h - 2)*(h + 5)*(5*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (0 + 4 + -2 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 128891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*c = -3*h + 412, -2*c + 10 = 0. Let a be h\/30 + (-1)\/(-5). Solve -2*n = -n - a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13221 and 2032983?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 - -55.31. Let n = -1176 + 2353\/2. What is the second biggest value in 1\/3, q, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100 - 100?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 73 - 21 = i, 0 = -i - 4. Let b = 14 - f. Suppose 0*j + 6*j = b. Solve j = -3*y + 16 - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -777\/295 - -13\/5. Let n be 28 + 931\/(-95) + -18. Which is the smallest value? (a) n (b) -2\/19 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/1*(3 + 0). Let y = d - 5. Suppose -3*n = -5*u - 45, -y*u - 22 = 2*n - 3*n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 19*u - 161. Suppose t - b = 10, 3*t - 29 = 5*b + u. Calculate the greatest common divisor of t and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5bb + -1a?\nAnswer: 5a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 - 39\/(-54). Let q(i) be the first derivative of z*i**2 - 2\/3*i**3 - 2 + 0*i + 1\/4*i**4. Factor q(p).\nAnswer: p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 222 - -2885. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -578004 * 1.\nAnswer: -578004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 3*z - 1\/2*z**3 + 0 + 3\/2*z**2. Determine x(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4386730481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 99?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/32, 7, -1, -1\/8, -6 in decreasing order.\nAnswer: 7, 5\/32, -1\/8, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 672 divided by 3\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3*h = -5, -7*h + 26 = 4*m - 5*h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -11*n**7\/2520 - n**5\/60 + 11*n**4\/24 - 9*n**2. Let c(u) be the second derivative of s(u). Differentiate c(a) wrt a.\nAnswer: -22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 145*n**2 - 2*n - 143. Does 180 divide v(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16172 = -11*t - 2840. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 142, 347, 636, 1009, 1466?\nAnswer: 2007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/100 and 31\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4117)\/(-9) - 40\/90.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 11*a**6\/120 - 15*a**3\/2 + 153*a**2. What is the derivative of i(y) wrt y?\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-12)*(1 - 1) - 7\/(-42).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(2 - 2 + 1)*(4*i - 2*i + 0*i + (1 + 0 - 3)*(-3*i + 6*i + i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 227\/4. Is w at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -708 by -177.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2500 = -3*j - 7*j. What is the remainder when j is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 19, -4, -2, 16834 in descending order.\nAnswer: 16834, 19, -2, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 238*g**2 - 94*g + 11757. Is c(64) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-6))\/(2\/22). Let l be -10 - ((-15)\/(-3) - 1). Let d = s - l. Solve 4*p + w - 14 = d*w, 0 = 3*p - w - 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1. Let c(j) = 703 - 1409 + 711 - 7*j. Give c(p) + 3*o(p).\nAnswer: -7*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 29 - 61. Let s be 20\/(-5)*(-3)\/i. What is the second biggest value in 0.8, -4, 2\/21, s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 11*x**2 + 2*x - 6. Let a be o(11). What is the tens digit of a - 2*(-1)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4301.2142191 - -0.1.\nAnswer: 4301.3142191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2118927 to the power of 1\/2, to the nearest integer?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Calculate the greatest common divisor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-18)\/27*-3*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1, 4, -1\/131, 1, -4?\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 9, -8\/7, 69?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 5:23 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h, k - 4*k - 3*h - 6 = 0. Let s(q) = -4*q**2 + 17*q - 17. Let r(d) = 9*d**2 - 4*d + 3*d**2 + 4 + 7*d**2 - 18*d**2. What is k*s(w) - 9*r(w)?\nAnswer: -w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16434 - 16455. Are -157\/8 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 2:28 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.04 - 3. Let x = 0.02 - a. Let c = x - 0.28. What is the biggest value in 2\/13, 1\/4, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8952.178ng in micrograms?\nAnswer: 8.952178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-168)*1)\/((-19)\/(-5130)*-10)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*5)\/(2 - 3). Let n = 394 + -234. Let c = 163 - n. Solve h*x - 2*q + 11 = 0, -3*x = x - c*q + 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 239 + 2 = 0. Let g = n - 1183\/15. Sort g, 5, -0.3 in descending order.\nAnswer: 5, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-50)\/15)*(-24)\/9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 1)*(-11)\/(-22). Suppose j*t + 25 = 5*t. What is the second derivative of -7*w**2 - 6*w**2 + 16*w - 3*w**2 + t*w**2 wrt w?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 - 4*f**2 - 5*f**2 + 7*f**2.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209899, 839571, 1888985, 3358117, 5246943, 7555439, 10283581?\nAnswer: 13431345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 339 + -576. Calculate the common denominator of 2\/(-6)*p\/(-6) and -43.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - j**2 - 15*j + 3. Let k be a(5). Suppose -17*b + 10*b = -k. Solve 6 = b*c + 26 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4968?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4095*q**2 - 6 + 6.\nAnswer: 4095*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 0, 3*b - 7*b = 4*n + 48. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -6*u**3 - 39*u**2\/4 - 3*u\/2 + 2794. Find f, given that j(f) = 0.\nAnswer: -1, -1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-12)\/4))\/((-4)\/(-6)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3475 + 13901\/4. Let -49\/4 - y*v**2 + 7\/2*v = 0. What is v?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40479 - 40477. Let n = -4 - -3. Which is the nearest to 0.9? (a) -2\/3 (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 1 (b) -3 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 + d**4 - 6*d**4)*(-3*d + 3*d - 2*d) + d + 2*d**5 - d.\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 11 = 2*q, 2*y = -4*q + 3*y - 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = f - 18, -v + 4*f = 5 - 1. Suppose -16*w + 1320 = -v*w. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 926725 = 11491*n - 11472*n. Calculate the greatest common factor of n and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3139*j**2 - 16*j + 5. Let l(b) = -b - 22. Let h be l(-11). Let x be m(h). Round x to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 777*f - 782*f - 13 = 0, -5*h - 40 = 5*f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 6*g + 2. Let c be v(6). Suppose -17*j - 6135 = -5*q - 14*j, -q + c*j = -1220. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 80\/25)*5. Solve -2*w + w + a = -3*v, -4 = w + 2*v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x + 6*x - 6*x)*(7*x - 2*x**2 - 7*x - 2) as l*x + n*x**3 + d + m*x**2 and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4988206*i**4 + 5979984 wrt i?\nAnswer: -19952824*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.022 + 1568.\nAnswer: 1545.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-6)*q)\/q**(1\/2))**(-2\/57)\/((((q**4*q)\/q*q)\/q**(-1\/4))\/((q\/((q*q**(8\/3)*q)\/q))\/q*q\/(q\/(q\/q**(-7\/5))))) assuming q is positive.\nAnswer: q**(-7249\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -0*i + 2*i. Suppose -4*b = -7*b - 4*k + i, -3*b + k - 3 = 0. Solve b = -3*d + 2 + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/22 + 1 + 4806\/(-66). Let x = q + 75. What is the third derivative of 39*i**6 - 5*i**6 + 0*i**5 + 0*i**5 - 24*i**x wrt i?\nAnswer: 4080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22200220 (base 3) to base 8.\nAnswer: -14306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5837, 11538, 17095, 22502, 27753, 32842, 37763?\n\"Answer: -v**3 - 66*v**2 + 5906*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 + 6*k**2 - 2*k**2 - 7 + 3*k. Let h be (-141)\/27 + (-4)\/(-18). What are the prime factors of i(h)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tetettltl. Give prob of sequence tttt.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5567688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 2*d**3 + 659*d + 2. Let q(h) = -226*h. Calculate q(k(n)).\nAnswer: -2712*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 7*v + 1. Let o be (-3)\/1 + 68 + -35. Let t be ((-12)\/o)\/((-2)\/40). Calculate y(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 - 4*t**2 + 3*t - 1. Let y(i) = -3*i + 1. Let h be y(-2). Let k = -5 + h. Let m be p(k). Solve -m*j + 5*w = 5, -2*j - 2*j + 5*w - 3 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/132 and -61\/132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5713946, 11427894, 17141844, 22855796, 28569750, 34283706, 39997664?\nAnswer: 45711624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 4*z**2 + z + 2. Let g(p) = -p**2 - p + 1. Let i(o) = 3*g(o) - u(o). Let b be i(2). What is the smallest value in 7, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (3 + -21 - -1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 211 - 44 = 0. Let y be 0 + (f - -1)\/(-2). Suppose -4*g + 82 + y = 0. Calculate the remainder when g is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601*d = 597*d + 8*i + 144, 3*i = -d - 64 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20693 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1 + 5 = 0. Suppose o*k = -3*t + 45, -2*t + 2 = -2. Let n = 25\/2 - k. Is 2\/7 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n - 5*k = 12, -2*n = -5*k - 14. Suppose -n*i + 266982 - 93592 = 0. Let b = i + -54695. What is b rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.8, 0.2, 40, -22, 0.1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (1 + -2)) + 82 + -70?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 188 + 153 = 0. Solve r*a - 11 = -3*m, -5*a + 4 = -4*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 - 5*s**2 + 5*s + 5. Let r(n) = -n**3 + 2*n**2 - 2*n - 2. Let m(d) = -d**3 + 11*d**2 - 11*d + 12. Let g be m(10). Calculate g*b(y) + 5*r(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 37 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y + 43 = f, 4*y = 2*f - 74. Suppose 0 = 3*r - f + 11. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 0*k**3 - 21*k - 17\/4*k**4 - 23 + 0*k**2. Differentiate o(i) with respect to i.\nAnswer: -51*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-78)\/(-36) - (-3)\/(-2))*3. Solve -3*b = v*b + 4*r + 6, -3*b - 10 = -4*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 18*d - 13*d = 5, -d = -3*u - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -998, -1999, -3000, -4001?\n\"Answer: -1001*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 27. Let x(q) = -q**2 + 11*q - 5. Let m be x(d). Differentiate -34*t**2 - 4 + m + 37*t**2 wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2d3 (base 14) to base 8\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**2 - 66*l - 288 = 0.\nAnswer: -16, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 2, j: 1, u: 1, b: 1, q: 1}. What is prob of sequence pjv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -655601 (base 7) to base 15.\nAnswer: -24072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3956, -3955, -3954, -3953, -3952, -3951?\n\"Answer: o - 3957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x - 4. Let w = 74 + -63. Let m(z) = z**3 - 11*z**2 - z + 2. Let v be m(w). Let u be v\/6*30\/(-9)*-1. Let j(p) = 7*p - 7. Calculate u*g(h) + 3*j(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -6. Suppose 4*g + 5*i = j, -i = -5*g + i. Suppose -5*u + 2*o = -437, g*u + u - 2*o - 81 = 0. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34105792*w**5 + 90735792*w**2?\nAnswer: -2046347520*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-29)\/(-4))\/((-16)\/(-64)). Suppose -4*n + 5 - q = -5*u, -u + 2 = 2*n. Let y = -49.3 - -49. What is the closest to 0 in n, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1310324 (base 5) to base 8.\nAnswer: -62162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88164, 176103, 264042, 351981, 439920?\nAnswer: 527859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.5 + -16. Let r = 4 - v. Let l = -0.08 - 3.92. Sort r, -1\/3, l in decreasing order.\nAnswer: r, -1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 5*t**2 + 9*t - 8. Let j be r(-7). Sort 2, -2, j in descending order.\nAnswer: j, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + 6 - -8 - (5 + -6 + 3)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9373.\nAnswer: 7, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 429454296 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i - 86*i + 31 = -71. Solve -i*g = 8, 5*a + 12*g - 16*g + 4 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6639 - 3347. Suppose -4*l - 47*o + 49*o = -13146, -l - 5*o = -g. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**4\/6 - c**3\/6 + c**2\/2 - c. Let l(g) = -14*g**2 - 1 + 26*g**2 + g - 11*g**2. Give -l(x) - p(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (39\/(-104))\/(2\/(-16)). Let p = -11 - m. Let b = p - -89. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 28*j - 6 - 17*j**2 + 1.\nAnswer: -17*j**2 + 28*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3104252.\nAnswer: 2, 73, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 636 and 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66305 is divided by 644?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-6))\/(18\/(82584\/518)).\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/12, 2\/9, 2, 10 in decreasing order.\nAnswer: 10, 2, 2\/9, 1\/12, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*k + 2*k - 126*k + 3287 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**4 + w**2 + w + 1. Let x(z) = -4*z**2 + 4*z - 4. Let r(k) = -8*v(k) - 2*x(k). Find the second derivative of r(h) wrt h.\nAnswer: 96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1157.7 + -1158. What is the closest to -2 in 0.21, 4, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1021110 (base 3) to base 8\nAnswer: -1642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 281\/20 greater than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 7017192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 - -27489229.104\nAnswer: 27489229.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -668 + 670. Let k(a) = -a**3 - 32*a**2 - 31*a + 11. Let x be k(-31). Solve -x = b*u - 11 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 plus 5686?\nAnswer: 6255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/10)\/((-58)\/155673740) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.47 and 1.1.\nAnswer: 1.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8.2, -1.4, 0.01, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 72 = 317. Suppose -13 = 2*t + 5*d, 0 = 4*t - d - 4*d - a. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + m + 3)*(-14*m - 14*m**3 + 14*m) + 0*m**4 - 2*m**4 + 0*m**4.\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 1292 + 228 = 0. What is the highest common divisor of u and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b - 4 = 0, -2*b + 210 = 4*l. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**13\/y**(-5\/8))**(-15\/2) assuming y is positive.\nAnswer: y**(-1635\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1481927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**5))\/(v*v**14\/v)*(v\/(v\/v**33))\/v*v**(1\/8) assuming v is positive.\nAnswer: v**(185\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-9043.09.\nAnswer: 2712.927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 201 = 5*t - 3*t, -4*t - 156 = -4*p. Let j = 274 + p. What is the highest common divisor of j and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4424 - 2640\/(-60))*10\/4.\nAnswer: 2, 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -30.935. What is b rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19754\/3 - 6502. Let j = w + -82. Does 1.64 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-38892)\/(-7780) - (-48 - -41). Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*d - 2*i = 145*d + 20, 0 = 19*d - 4*i + 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110 (base 2) to base 3.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2 - 1279199*k**2 - 2 + 1279213*k**2. Let x(p) = 2*p**3 - 3*p**2. Let d be x(2). Let t(m) = m + 4 - d. Determine t(g(w)).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w - 19. Suppose -3*u = -r + 35, -6*r + 2*r = -2*u - 40. Let i = u + 25. Is k(i) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 754 divide 14642329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 0)\/((-190)\/(-20) + -10). Solve -2*o = w*m - 14, -4*m - o + 13 = -0*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 6*p - 8. Let n(z) = z**2 - z. Let q(w) = g(w) + 2*n(w). Let r(t) be the first derivative of q(t). Let s(a) = -2*a. Calculate s(r(l)).\nAnswer: -16*l - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/7, -4, 839599, -4\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/11 (b) -0.5 (c) 2 (d) 24 (e) 1436\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s - 14*s - 2*s - 59039*s**3 - 3*s.\nAnswer: -59039*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16749, -66988, -150719, -267942, -418657, -602864?\nAnswer: -820563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 10 = -5*x + 7*x, 28 = 4*x - 2*p. Which is the nearest to -11? (a) x (b) 3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + 0*w + 4*w - 17*w**3 + (-4*w - 5*w + 4*w)*(w**2 - w**2 + w**2).\nAnswer: -22*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011696047 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**4\/12 - 3*l**3\/2 + 13*l**2. What is f(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 + -85. Let c be 3 + u - 0\/12. Solve -4 - c = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -437826 divided by -437826.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2482.42401s to days.\nAnswer: 0.028731759375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1425 divided by -95.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3744 and 77454.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, -1019, -55 in ascending order.\nAnswer: -1019, -55, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 26*a - 1. Let u(n) = 5*n. Let l(c) = 11*u(c) - 2*w(c). Let o(b) = -7*b - 4. Calculate -9*l(q) - 4*o(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*i + 1210 = 0, -4*o - 2*i - 7 + 1611 = 0. Which is bigger: 395 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (373 + 192*d**2 - 373)*(2 - 3 - 1 + (0 + 1 + 3)*(2 - 2 - 1))*(-2 + 2 + d).\nAnswer: -1152*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, -440, -2.45, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 4*h**2 + 27*h + 112. Let v be r(-5). What is the second derivative of 53*n - 136628 + 136628 - 86*n**v wrt n?\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 402 and 314498?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 - 4 - a**3 + 4.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 20*s + 30 = -25*s, -3*o - s = 16. Let n = -187 - -190. Which is the smallest value? (a) n (b) o (c) -0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 11:36 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 - 4. Let c be (-6)\/(-9) + (-2)\/3. Suppose 5*j + 2 - 17 = c. What is the tens digit of b(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739593488?\nAnswer: 2, 5281, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 155656 + -3?\nAnswer: 155653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/110 - -26\/165. Let n(w) be the second derivative of -d*w**4 + 0 + 0*w**2 - 1\/6*w**3 + 2*w. What is the second derivative of n(v) wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k*k**(1\/7))\/(k\/(((k\/((k\/((k\/k**(-24\/5))\/k*k*k*k))\/k))\/k)\/k)))**(-24) assuming k is positive.\nAnswer: k**(-8352\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*i + 34*i + 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34139 divided by -21525?\nAnswer: -4877\/3075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000011 + -10?\nAnswer: 10010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y + 83*y + 16*y - 28*y + 127*y.\nAnswer: 224*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 27*j**2 + 426*j + 187. Is t(104) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/8 + 2\/(-4). Let l = 11 - j. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29998 and 566?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -60. Let m = t - -43. Let l(r) = r**2 - r - 6. Let p be l(-4). Solve -5*q + m = -2*k + 26, 3*k - q = p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 20. Calculate a(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50945278 - 0.5.\nAnswer: -50945278.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30591893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3559 + 3559. Solve 0 = -39*o + 38*o - 5*g + 19, 6*g - 24 = u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50.6 + -14.4. Let g = -52 - d. Which is the second smallest value? (a) g (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 140 = -4*j. Suppose 2*n = -8 + j. Let b = -542 + 546. Calculate the smallest common multiple of n and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 13. Suppose 0 = -o*g + 21 - 91. Let j = 78 - 73. Sort -2, g, j in increasing order.\nAnswer: g, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/151437 and 137\/55068.\nAnswer: 605748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26578 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 136 (b) -0.2 (c) 0.9 (d) 0.1 (e) 4\/3 (f) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 - 7*x**4 + 0*x**4)*(0 + 1 + 3).\nAnswer: -20*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 18579724 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 5)*(14*d**2 + 4*d**2 - 6*d**2 - 3*d**2 - 2*d**2 + 4*d**2 - 1 - d**2 + 1 + (-2*d + 2*d - 2*d)*(d + 1 - 1) + 3*d**2 - 2*d**2 + d**2).\nAnswer: 40*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261973 is divided by 141.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826266231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -144*p**2 - 2837*p + 862. Determine o(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*l - 119 = -84*l. Put -3, l, -4, 5, 0 in decreasing order.\nAnswer: l, 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (189720\/14756)\/((-10)\/42).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -44 - a + 5*a - 14*a**2 - 53 + 6*a**3 + 89. Let j(l) = -7*l**3 + 15*l**2 - 3*l + 9. Let v(y) = 5*j(y) + 6*o(y). Determine v(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6779, -11871, -16965, -22061, -27159, -32259?\nAnswer: -37361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -19 (c) -0.7 (d) 4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3621025 - 2562029. Suppose 5*i - 4*r + m + 7391024 = 0, -4*i - 6759980 = 4*r. Round i to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 492106379*d**3 + 137343833 wrt d.\nAnswer: 1476319137*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144152 is divided by 1976?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -11\/2749?\nAnswer: -11\/2749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17633*x**3 + 148*x**2 - 2055695.\nAnswer: -52899*x**2 + 296*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-12)*(0 - 0). Suppose g = -3*z - 6, r + 0*r + z = 30. What is the common denominator of -125\/6 and -3 - ((-100)\/r + -3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/152400 and 73\/167640?\nAnswer: 1676400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(1 + sqrt(539)) - sqrt(539)) + sqrt(539) + 6*(-2 + sqrt(539))**2*1.\nAnswer: -133*sqrt(11) + 3264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54915774 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 7*u + 35 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.900166 microseconds in hours?\nAnswer: 0.000000001638935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsss when four letters picked without replacement from {s: 4, h: 2, d: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*l = -10, 3*q - 5*l + 10*l - 26 = 0. Let b be ((q - 1) + -3)\/((-1)\/8). Is 5350\/12 - 4\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((4\/2)\/2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*n**4 + 4*n**2 + 2*n + 11*n**4 + 0*n + n**3 as v*n**3 + z*n**2 + b*n**4 + t + s*n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 - 2564455?\nAnswer: -2564510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 108\/26 + 20\/(-130). Let m be (11\/n + -1)*8. Solve 5*a - 5 = -4*f, f - 4*a = -a + m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9161, -73543, -248327, -588725, -1149949, -1987211?\n\"Answer: -9202*m**3 + 11*m**2 - m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -10. Let k be (m\/3)\/((-2)\/(-9)). Suppose -s - w + 10 = -2*w, k*s - 4*w = 32. Solve -g + 4 = s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3609 - 3603.809. What is h rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -9. Let q = h - 2.99. Let k = 0.11 - q. Which is the third smallest value? (a) k (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*c = -11, 0*m + 32 = 4*m + c. Let r be (5 + -15 - -10)\/(1 - 0). Solve m = 3*v - r*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v - 22. Let i be f(5). Solve 2*d - 20 = -3*t, i*d = -t + 2*t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 7*y - 368 = 0. Let s = 97 - y. Suppose 0 = 3*b + s*m - 117, -4*b - 6*m + 161 = -m. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) 0 (c) 2 (d) -0.9 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 100011 (base 3) to base 9\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.53 (b) 0.3 (c) 0 (d) 4 (e) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104113 (base 5) in base 15?\nAnswer: 113d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2. Let q(p) be the first derivative of -169*p**6\/180 + 19*p**3\/3 + 3*p + 47. Let j(o) be the third derivative of q(o). Give r(j(d)).\nAnswer: -228488*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -312 - -445. Calculate the remainder when v is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620998.2 plus 181.82?\nAnswer: 621180.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/18*((-196)\/(-16) + 125\/100)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 10. What is g(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + ((-13)\/(-3) + -4)*-3. Let z be ((-2)\/(-6))\/((-4)\/(-24)). Solve 5 = -z*l - h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*o + 15683 = 55088. Solve -20*m + o - 65 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996 a factor of 220326464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(5\/3)\/q)*(q**(-4)\/q)\/q)\/(q**(-22))**(-7))**(2\/55) assuming q is positive.\nAnswer: q**(-958\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.831569ns in minutes?\nAnswer: 0.00000000048052615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 6866*n**3 + 7027*n**3 + 6*n + 11234*n**3.\nAnswer: 25127*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 3*o - 5, -139 + 141 = -5*o + 2*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3512140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -206*r + 210*r + 3, 54 = -6*r + 6*o for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/6720 and 221\/811440.\nAnswer: 3245760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -5, 4, -372 in decreasing order.\nAnswer: 4, 2, 0, -5, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**5\/30 + t**3\/2 - 4*t. Let k(f) be the second derivative of n(f). Let h(l) = 2*l**2. Calculate h(k(a)).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -17*u - 26. Let i be b(-17). Is 21 a factor of i\/5 + (-32)\/(-80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -329.6 + 303. Let a = q + 25.02. Round a to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1170)\/24)\/(-1))\/((-46)\/(-1472)*-24)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 19200712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = -14. Let x be ((-2)\/12)\/(r\/63). Find b such that -1\/4*b**3 + 1\/4 - x*b + 3\/4*b**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 94 = 229. Suppose 2*z = 3 + 5. Solve -z*s = -m*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/6 + -2 - 1\/6. Let f = 0.9 + -0.6. What is the closest to j in 0, -0.1, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19048 less than 637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, d: 6, b: 6, y: 1, t: 1, g: 1}. What is prob of sequence ytg?\nAnswer: 1\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -2\/19, 1\/10, 0.112?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 6:13 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4, -5*u = -m - 3*u + 58. What is the second derivative of -m*k**3 - 13*k**3 - 14*k**4 + 5*k + 16*k**4 - 33*k wrt k?\nAnswer: 24*k**2 - 402*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115040153 (base 6) to base 3.\nAnswer: 11010200012120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*f + 2089*f**2 - 2088*f**2 + 0 + 4 + (-3*f + 2*f + 3*f)*(f + f - f) + 0*f**2 + 0*f**2 + f**2.\nAnswer: 4*f**2 + 16*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4 = 5. Suppose -4*t = 2*s - 26, 0*t + s - 9 = -t. Factor -2*g**5 + 4*g**2 + 2*g**t + 2*g**4 - z*g**4 + 2*g - 5*g**4.\nAnswer: -2*g*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -73672 or -4714975\/64?\nAnswer: -4714975\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47686348 rounded to four decimal places?\nAnswer: -0.4769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 0.09.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 7. Let h = 0.6 - f. Suppose -5*s + 7 = 2*r, 3*s = 3*r - 2*r + 2. Which is the closest to r? (a) -4 (b) h (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 10:01 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -197 - 270628\nAnswer: -270825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0 + 0*k**5 + 0*k + 0*k**4 + 2*k**3 - 12*k**2 + 1\/12*k**6. Differentiate g(l) with respect to l.\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 5179323.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 3 (c) 1\/6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -276 - -54. Let u be w\/(-360) + 6\/45. Let f = -4 - -4.07. Which is the third smallest value? (a) 2\/5 (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 2*f**4 + 1 - 1 + f**4 + (2*f + 0 + 0)*(17*f**2 + 5*f**3 - 17*f**2) in the form m + d*f + j*f**4 + p*f**3 + v*f**2 and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**3\/3 - 3. Let z(g) = -g**3 + 4*g**2 - 3*g + 9. Let y be z(3). Let v(m) = -5 + 41*m + y - 4. Determine v(x(t)).\nAnswer: 41*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/37? (a) 239 (b) 2\/15 (c) 0.1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 + 2 = m, -3*m = -4*y + 8. Solve -4*c - 3*t - 4 - 8 = m, 0 = -4*c + 4*t + 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90 + -591. Let u = b - -971. List the prime factors of u.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and 4.6?\nAnswer: -0.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 1. Let x(o) = -o**3 + 2*o**2 + o + 2. Let h be x(2). Suppose 0 = -2*d - 3 - 5, 4*g + h*d = 4. What is the remainder when g is divided by w(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 555 and 65305?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-301)\/(-43) + 122\/(-18).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26544 and -9.\nAnswer: -26553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4886*g + 1259. Is c(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 8282450*i**4 - 3660859180*i**3 + 7195768*i**2 - 3536*i = 0?\nAnswer: 0, 2\/2035, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 10990?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 27 = -2*z. Let u be -11 - -1 - -1 - 16\/(-16). Calculate the remainder when ((-3)\/(60\/u))\/((-4)\/(-180)) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1 - 1) + 1)\/(-1). Suppose -t = 3*a - 4. Let s(h) = -h - 7. Let n(g) = g + 3. Let y(b) = -5*n(b) - 2*s(b). Calculate y(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 - 4.8. Let f = -211\/665 + 3\/95. Sort g, 5, f in decreasing order.\nAnswer: 5, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Let z(x) = -x. Let p(i) = -2*u(i) - z(i). Let g(w) = w. What is p(g(a))?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*b + 485. Suppose 0 = -3*x - 3*j + 261, 0 = 4*x + j - 79 - b. Suppose 2*s = -s - 5*l + x, -5*s = -l - 185. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990 a factor of 40844750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - r = 25, -b + 18*r - 19*r - 5 = 0. Suppose -2*m = -6*m - 16. Put m, 7, b in ascending order.\nAnswer: b, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {u: 2, d: 2, q: 1, b: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 - 0 - (7 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2974 = 2*u + 6*x, -13*x + 7449 = 5*u - 12*x. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 224025?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -829\/5 + 165. Let u = -0.064737 + 5.064737. What is the third smallest value in -2, o, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 + 216. Suppose -4*l - 23 = 3*n - 6*n, 5*n - 2*l = 57. What is the highest common factor of w and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 49 - 13*x - x)*(21357 + 74*x - 21357).\nAnswer: -1036*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 8:49 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -524133 and -2.\nAnswer: 1048266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 10:30 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.531695 centimeters to micrometers.\nAnswer: 75316.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1960 and 1129720?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -23*x**5\/20 - 14*x**2 + 2*x. What is the derivative of f(t) wrt t?\nAnswer: -69*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*z**4 - 158*z**2 + 297*z.\nAnswer: -36*z**2 - 316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -7.1?\nAnswer: 0.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 t when three letters picked without replacement from toyjrotkk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 12. Let w be f(0). Let s(p) = 516*p + 3100. Let j be s(-6). What is the greatest common divisor of j and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 2:08 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 19 - 5 = 0. Suppose -25 = -k - q. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 9*a + 5. Let n be q(-9). Suppose n*l - 4*l - 54 = -2*g, -76 = -3*g + l. Let c(w) = 1 + 0*w + g*w**2 - 3*w - 39*w**2 + 2*w. What is c(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2 (b) 3\/37 (c) 3\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1220.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/2 - 3)*-1. Let u be (-8)\/n*(-15)\/6. Suppose 2*o - u = 3*l - 8, 5*l - 32 = -4*o. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(72) + 1 + (sqrt(72) - (sqrt(72) + 1 + 5)) + 5))**2 + -3.\nAnswer: 2589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-19)*a**21*(a\/(a*(a**(3\/2)*a)\/a))**(-1\/12))**(-3) assuming a is positive.\nAnswer: a**(-987\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + z - 2)*(z - 1 + 1 + (-6*z + z + 3*z)*(-1 - 1 + 1))*(993 + 90 - 515) - 6 + 3*z**2 + 6.\nAnswer: 1707*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) -2 (c) -53583 (d) 1\/6 (e) 1\/2 (f) -3 (g) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1352037 = 6*z - 3856437. What is z rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q, -2*x + 14 = -5*q - 16. Let o = x + -8. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-105)*(-15)\/(-21).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 715\/(-30) - 2088\/(-87).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*b + 3. Let i = b + 8. Suppose i*f + f - 16 = -2*g, -14 = -2*f - 2*g. Round f to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3435*t**2\/4 - 6873*t\/8 - 3\/8.\nAnswer: -3*(t + 1)*(2290*t + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 6*n**2 - 9*n - 6. Let x be r(-7). Let y = -19 - -34. Let l(s) = x*s - y*s + 11*s. Let o(c) = -7*c. Give o(l(a)).\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -593059?\nAnswer: -593063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 7*w**2 - 14*w - 7. Let m be d(-10). Let h = -14 - m. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11242281.\nAnswer: 3, 19, 197233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 105*r**2 - 34*r + 6. Let h(t) = t**2 - 2*t - 1. Suppose 8*i = -19 + 67. Let b(n) = i*h(n) + d(n). What is the second derivative of b(l) wrt l?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 4:49 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6626*-0.3.\nAnswer: 0.49878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 13 + (-10 - ((6 - 2) + -9 + -6))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 - -103. Calculate the remainder when 90 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 1. Let i be q(0). Let f be (i\/(-2) - -1)*2. Suppose 14*y - 9*y - 2*l = -11, -2*y = -3*l + 11. Sort f, 0, y in descending order.\nAnswer: f, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, w: 3}. Give prob of sequence ffff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365798?\nAnswer: 2, 3, 7, 31, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22e5 (base 15) to base 12\nAnswer: -435b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18901.\nAnswer: 41, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c + 29. Give i(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k + 5. Let m(z) = -z - 1. Calculate -4*m(f) - s(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 439 - 427. Let p be 33\/9 + 28\/o. Solve 16*r - p*r = 40 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2697, 10763, 24205, 43023, 67217, 96787, 131733?\n\"Answer: 2688*f**2 + 2*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**2\/9 + 272*w\/9 - 4624\/9 = 0.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 4\/2)*2. Let m be (-1)\/w*0 - 0. Factor 2*v**2 - 2 - 3*v**3 - 2*v + m*v**3 + 5*v**3.\nAnswer: 2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 454158.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73 - 61 + 11*t + 20 - 73*t with respect to t.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -0.3, 1\/2, 0.08, -0.5, -3 in increasing order.\nAnswer: -21, -3, -0.5, -0.3, 0.08, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8832*b = -8837*b + 3*y + 16, -4*b = -y - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53546201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3 = 13. Let b be 4\/(-12) - (-4)\/3. Let g(w) = -2 - w + 0 - b - 3*w. Calculate g(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(23\/207).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -33.19.\nAnswer: 33.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001111 + -1100010?\nAnswer: -1011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -12*d + 29. Let t be l(2). Suppose 12 = -5*p - 13, -t*m - 3*p + 465 = 0. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 725 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -135435145 (base 6) in base 4?\nAnswer: -22220313221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 1)*(v + 4*v - 4*v) + 7*v - 186 + 186 + 2 + 5*v - 2 + 3*v - 19 + 38 - 16.\nAnswer: 17*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 17 = -19*p - 5*j, -5*p + 65 = j. What is the least common multiple of 34 and p?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*u + 359 = -52 - 403. Which is the smallest value? (a) -0.2 (b) u (c) -5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 510.67 + -1028.69. Let i = 518 + f. Which is the third biggest value? (a) i (b) -43 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {u: 2, v: 4, n: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -m + 5*y - 10*y, 5*m - y = 200. Solve -z - 9 = 5*n - 39, 4*n + 4*z - m = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -474*(-4)\/264 - (-4 - -11). Factor 0 - 2\/11*i - w*i**2.\nAnswer: -2*i*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 26 = 2. Suppose 0 = f - 2, 0*f + 4*f = 5*b - 127. Calculate the remainder when b is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 109.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -42*h + 2925. Is 22 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 8. What is the hundreds digit of ((-546)\/56)\/(m\/(-52))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34775473 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 124213 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*z**2 - 43*z**2 + 26*z**2 - 9*z**2 - 3 to m*z + j + k*z**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 0 + 1\/2*h**4 + 1\/3*h**3 + 1\/12*h**5 + 0*h - 36*h**2. Is 45 a factor of p(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) - (-877)\/5. Suppose -7*n + w = -2*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 - 2*c + 35)*(-c + 3*c + 0*c) + (4*c**2 - 2*c**2 - 3*c**2)*(5 + 4 - 1) - c**2 + c**2 - c**2 to i*c**2 + o*c + g and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*t + 5*w, -w + 5 = 2*t + 15. Let l(q) = -2*q**2 - 25*q - 57. Determine l(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 3*j + 18. What is the remainder when (-3190)\/(-25) + -40 + (-8)\/(-20) is divided by j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 8. Let h be x(5). Let m be h\/1 + 1 + 4. Suppose 0 = 3*t - 3, -1 = y + t - m. Solve y*u - 2*g - 17 = -3*g, 0 = -2*u + 3*g + 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 14, -0.77 in decreasing order.\nAnswer: 14, 4, -0.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19539 is divided by 181?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82286220 and 4546200.\nAnswer: 822862200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 285 and 9481?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -341.\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (2 - 39)) + (1196 - 1204)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)*-6)\/(2*sqrt(2)*-3) - (-2 + sqrt(66)\/(sqrt(60)\/(sqrt(40) - sqrt(10)))))**2.\nAnswer: 8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/5 (b) -5 (c) 1.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66997 and 4111212.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570500 = 80*u - 85*u. What is u rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 108*f**2 - 1458*f.\nAnswer: -2*f*(f - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -571?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 - 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k*(k*k**1)\/k*k)\/k))**13*k**(-4)*k\/((k\/(k**(-2\/7)\/k)*k)\/k))\/((k**1)**(-16)\/((k\/(k\/(k**(-2\/13)\/k)*k))\/(k*k**(2\/9)))) assuming k is positive.\nAnswer: k**(-15284\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, -4, 3 in increasing order.\nAnswer: -4, -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*q - 7, -5*q + 15 = -5*v. Suppose v*m = 5*u - 28, 5*m - 49 + 14 = -5*u. Suppose -6 = 5*z - 86. Calculate the remainder when z is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.09 + 0.09. Let z = 94 - 94.2. Which is greater: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehbehgrgf. What is prob of picking 1 e, 2 h, and 1 b?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + (sqrt(242) - (sqrt(242) + sqrt(242) + 0 + sqrt(242) - sqrt(242)))*-6 + -2*sqrt(242) + 0 + (3 + sqrt(242)*2 - (-1 + sqrt(242) + 4)))**2.\nAnswer: -30250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6}. What is prob of sequence aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1738 in 1\/3, -14, -41, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**4 - 3*i**4 + i**4)*(0*i + 3*i - i) - i**5 - 4*i**5 + 4*i**5 + (2*i + 3*i - 3*i)*(-4 - 2 - 1)*(i**4 - 4*i + 4*i).\nAnswer: -9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -114399\nAnswer: -1372788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, x: 1, o: 1, k: 2, r: 7, l: 1}. Give prob of sequence jk.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/20 of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13212 = -11*x - 13168. Which is the closest to 2\/9? (a) x (b) -13 (c) 0.3 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 5*k + 54, -2*h = -4*k - k - 42. Let l = -1755 + 1746. Let t be -2 - 60\/(-27) - h\/l. Solve 0*v = -t*v - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**7\/630 + n**6\/90 - n**5\/10 + 11*n**4\/6 + 12*n. Let t(i) be the third derivative of o(i). What is s in t(s) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-3)\/(2\/(128\/(-12))) and 140.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from cjccgmcggmggbmm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 0*m + 26 + 1\/2*m**2. Let z(a) = 4*a - 11. Determine z(g(f)).\nAnswer: 4*f - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - f + 2)*(0*f - 10 - 4*f + 12).\nAnswer: 4*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1300513 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 174a44?\nAnswer: -174a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71344 = -1185*l + 1136*l. Calculate the least common multiple of 252 and l.\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -783 = -7*y + 48*y - 12*y for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410*w = 402*w + 56. Suppose 0 = -18*c - w*c + 425. Solve -c*m - 9 = -14*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.856 + -0.056. Let w = 8 - r. Let v = -3.8 - w. What is the second biggest value in v, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285992 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -2*sqrt(68)*-3)\/(sqrt(16)*-2).\nAnswer: -7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124669 is divided by 41545?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123690, -247325, -370944, -494547, -618134?\nAnswer: -741705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1222378 from 5.56507.\nAnswer: 5.4428322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 5, l: 1, z: 2, h: 1}. What is prob of sequence rh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 2:05 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 182\/4 + 1*(-2)\/4. Let j be ((-3)\/(-5))\/(3\/z). Solve 0*g - j = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106 a factor of 23456048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51577, -51580, -51583, -51586?\nAnswer: -51589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, -24, -84, -198, -384, -660?\n\"Answer: -3*o**3 - 3*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 161*r**3 - 864*r**2 + 11*r - 5. Give o(5).\nAnswer: -1425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - (0 - 8\/2). Let f = 13 + o. Suppose 7*k + 260 = f*k. What is the remainder when k is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 b when four letters picked without replacement from {t: 4, h: 6, i: 1, b: 3, d: 3, a: 2}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -1\/6*q**3 + 0 + 7\/6*q**5 + 0*q**4 + 0*q - 21*q**2. What are the prime factors of k(1)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 8*t - 7. Let s be r(-6). Suppose 0 = 114*l - 97*l - 85. What is the greatest common divisor of s and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 0*b**2 + 2*b**2)*(0*b**2 - 3*b**2 + b**2 + (2*b**2 - 3*b**2 - b**2)*(3 - 3 - 2) - 131*b + 131*b + 420*b**2) - 2*b + 2*b + 2*b**4.\nAnswer: -420*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -y + 1, -3*y + b - 25 = -20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 24*u**2 + 26*u - 31. Determine m(25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1203532 divided by 3218\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x**4 + x**4 + 2*x**4 + (1 + 4 - 3)*(-4*x + 4*x - 2*x**4) + (-4 - 1 + 4)*(0*x + 0*x + 2*x**4) as u*x + p*x**3 + g + z*x**2 + q*x**4 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 910227, 910229, 910231, 910233?\n\"Answer: 2*p + 910225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:51 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2306 by 2.\nAnswer: -1153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3502*396\nAnswer: 1386792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 352*a - 12995. Give f(37).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**4 - 5*p**2 + p + 1. Let v(j) = -1608*j**4 - 200*j**2 + 848*j + 40. Let g(x) = 40*r(x) - v(x). What is the second derivative of g(k) wrt k?\nAnswer: 18816*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*l - 239*l = -10110. Round l to the nearest 10.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, r: 5}. What is prob of sequence rmmm?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*f + 10444 + 323 - 2143. Calculate the highest common factor of f and 224.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11969257?\nAnswer: 29, 271, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d + 15*d = -3*y - 9, 2 = -11*y + 4*d + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26545\/9 - 2949. Put 5, -2, -4, d in descending order.\nAnswer: 5, d, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-79*u - 1916 + 1916)*(2*u**3 - u**3 + u**3 + (-2*u - 2*u + 6*u)*(-2*u**2 + 0*u + 0*u)) to the form a + p*u**3 + h*u**2 + z*u**4 + w*u and give z.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12 - -2*(-1)\/(-2). Let q = 13 - a. What is the second derivative of 4*o**5 - 5*o**5 + q*o**5 - 3*o wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1238 != -21033\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1672 is divided by 153?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/175 and -3\/879850.\nAnswer: 6158950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 340432*o - 340428.\nAnswer: -4*(o - 85107)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 80399721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2\/9 - 1961846*z\/9 + 10463008\/3 = 0.\nAnswer: 16, 980907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from {h: 2, b: 1, y: 1, s: 4, j: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 - (-909 + 928) - -62?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**3*z**2 - 3584*j**3*z + 13*j**3 - 1920*j**2*z - 9*j*z**2 wrt j?\nAnswer: -12*z**2 - 21504*z + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.4 - 50.4. Let o = 44.02 + x. Suppose -4*t - t = -4*a - 3, -12 = -5*t + a. What is the nearest to 2 in t, o, 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.7 + 8. Let g = 2 - 1.88. Let j = g + 4.88. What is the closest to -2\/3 in z, j, 4\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {d: 2, g: 1, y: 1, p: 7, c: 3, z: 3}?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 - 13*y - 85 - 6*y**2 + 85 + 5*y**2.\nAnswer: -8*y**2 - 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = p + 20, -7*g - 26*p = -118 + 586 + 277 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12011010001 + -122002?\nAnswer: -12011202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16413*n**2 + 61760*n.\nAnswer: 32826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l + 42. Let g = 13 + l. Which is bigger: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 53144155 - -1?\nAnswer: 53144156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53, 9, -49, -127, -231, -367?\n\"Answer: -r**3 - r**2 - 34*r + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-5))\/(136\/(-85)). Put v, -0.5, -2, -5\/6 in decreasing order.\nAnswer: v, -0.5, -5\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1) + 110\/(-99). Sort 2\/5, -1, 1\/10, d in descending order.\nAnswer: 2\/5, 1\/10, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -413. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*sqrt(119))\/(6*sqrt(7)*-1) + -5.\nAnswer: -2*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*z - 73*z = 236 - 320 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by (-36)\/(-162) - ((-248)\/18 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 924 = -4*b - 792 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*k**3 - 10*k**2 + 20*k**4 + 12*k**3 - 15*k**2 wrt k?\nAnswer: 480*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2754*a - 27557. What is b(-10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 + 956025\/100. Suppose 3*i - 26567 = -g. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1285 + -1289. What is the fourth biggest value in 6, -12, -2\/9, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + sqrt(1620)*1)*1)\/(sqrt(20)\/(sqrt(6)\/sqrt(3)) + (2*sqrt(360) - sqrt(360) - sqrt(360))).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73054283 is divided by 138?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 0 + (3 - 18 - -5).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3*l**2 + 8\/3*l + 0 = 0. Calculate l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*m - 22 - 248 + 1390 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 10:26 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-4 - -1) - (1 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtad when four letters picked without replacement from {t: 4, a: 2, d: 1, j: 1, q: 2, s: 2}.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4365?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**2 - 3*i**2 + i**2)*(3 - 4 + 2)*(0*i - 6*i + i)*(52 - 5*i**2 - 52).\nAnswer: 100*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 100*d - 88*d - 576. Solve -d*j - 41 = 55 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 + 2*d - 1. Let a be f(2). Suppose -4*q - v + 50 = -0*q, -3*q + 43 = -2*v. Let s be (1 + -1 - 4) + q\/4. What is the nearest to 1 in s, -2, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 377 + -315. What are the prime factors of u?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2274*c - 116472 + 116472 + (4*c - 2*c - c)*(-5 + 1 + 2 + (-6 + 3 + 5)*(1 - 5 + 2)) to b + j*c and give j.\nAnswer: 2268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2. Let d(u) be the first derivative of u**2\/2 - 6*u - 2. Let m be d(8). Let v(j) = m*j - j + j. Determine v(z(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/4)\/((-56)\/(-134512)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 + 174 - 174.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = 127 + 23. Let w(m) = 2*m**3 + 19*m**2 - 12*m - 14. What is w(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28.5 + 31.5. Let n be 2\/(-7) + 2904\/(-77). Let o = n + 44. Which is the fourth smallest value? (a) w (b) o (c) 2\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.069 - -0.469. What is the second biggest value in -1, -0.4, -14, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - 2a?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2196)\/(-180) + -12)*0. Let u be 6\/9*(-2)\/(-12). Which is the closest to -2? (a) 2\/7 (b) s (c) u (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**6\/120 + x**5\/12 - x**4\/3 + 2*x**3\/3 + 11*x**2\/2 - 10*x. Let j(h) be the first derivative of y(h). Solve j(m) = 0 for m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g**3\/6 - 160*g**2\/3 - 50*g = 0.\nAnswer: -6\/7, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 106*v + 2679. Determine n(-26).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 39*g + 6. Let x(m) = 20*m + 3. Give 6*q(p) - 11*x(p).\nAnswer: 14*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**3 - 2*f**3 + 15*f**3.\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 28)\/(-5 - (-7 + 4)). Suppose -u*c + 33*c = 418. What is the remainder when 121 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l**2 - 8*l + 1. Let h be d(-2). Let n = 97 - h. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-56 + (120 - -30))\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 28422\nAnswer: -11\/14211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (83 - 34)*6\/21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 1\/16*q**4 - 3*q + 0*q**2 + 0*q**3 - 3\/80*q**5 + 0. Let g(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 5*c**2 - c + 8. Let b be (-6)\/(-5 + 2) + 4. Is z(b) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/9 + 964*g**2\/9 - 116162*g\/9 = 0. Calculate g.\nAnswer: 0, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35050500 divided by -778900?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*r - 275. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187726066 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kstktkkkktswttjksttj. What is prob of sequence tkts?\nAnswer: 49\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, 4, -157, -0.4451, -4, 1\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4724968 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290984*y**2 + 145721*y**2 + 145261*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -938*i + 105569. Calculate r(112).\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, 16, 42, 80, 130, 192?\n\"Answer: 6*s**2 - 4*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g + 57*g = -95 + 1506. Suppose 3*h - 4*h = 0. Suppose h = 5*w - 3 - g. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r - 2 + 6*r - 2. Let t be p(6). Find the third derivative of 4*w**2 - 3*w**6 - 2*w**5 + t*w**5 + 0*w**5 wrt w.\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -18 (c) 13 (d) -2\/9 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2 + 2. What is the second derivative of 0*q**2 + 0*q**2 + 0*q + v*q + q**2 wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -52, -0.1, 1, 3\/533?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 6\/(0 - (6 + -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 5*m**2 + 6. Suppose -4*a + 2 = -x + 42, -20 = 4*a + 4*x. Let l = a - -4. Let h be s(l). What is the highest common divisor of h and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2 + 23*v + 63. Let t be f(24). Which is smaller: t or -1112?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 2*j**3 - 451 + 465 + j to the form u*j**2 + o*j**3 + f*j + w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p - 7. Suppose 0 = 5*z - 5*h - 5, 0 = -2*z - h - 2*h + 12. Let r(a) = -886*a + 2669*a - 895*a + 3 - 890*a. Calculate z*u(f) + 7*r(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**5\/60 - 3*c**4\/8 + 4*c**3 + 3*c**2 - 18*c. Let n be j(5). Let d be 0 + 7 + -1 + -1. Solve f - d*f - n = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 142 - 64?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1772*o + 8 + 1724*o - 1121*o - 8)*(-o + 1 - 1).\nAnswer: -2375*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 363886215 a multiple of 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000156881 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1203 - 3?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x - 2. Let b(t) be the second derivative of 17*t**3\/3 + 9*t**2\/2 + 5241*t. Calculate 2*b(w) + 11*u(w).\nAnswer: -9*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88279102?\nAnswer: 2, 44139551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 5. Let f = 7 + u. Solve 2*w + 6 - 3*w**f + 10*w - 3*w + 0*w = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -28. Put -5, -7, d in decreasing order.\nAnswer: d, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 - -204. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = b + 67, -87 = -3*g + 5*b - 8*b. Suppose -32*f + g = -64. Solve -5*p = -4*p + 2*t, -p = 5*t + f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 28 and -0.0834606.\nAnswer: 27.9165394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5285659319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 35. What is the remainder when 241 is divided by l(0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 74. What is the highest common factor of g and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.01 (b) -2 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -9*q**2 + 220*q - 935. Calculate r(5).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -28352.3\nAnswer: 226818.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 7*a - 5 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 37*k**5\/4 + 203*k**4\/6 + 2*k - 45. Find the third derivative of p(v) wrt v.\nAnswer: 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 8*s**2 - 10*s + 9. Let x be b(9). Let o = 14 + x. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 60. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -61543 + -42?\nAnswer: -61585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 111618668947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(-7)*v))*v**(-11\/3))\/(v*v**(-5\/4)*v**(-8)) assuming v is positive.\nAnswer: v**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(6\/4*14050\/(-71655))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2) + 4 + 1 + -2.\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*q - 49*q - 26*q + 224*q + 191*q in the form f*q + u and give f.\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.45 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11*m - 194. What is g(0)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from {m: 5, z: 1, f: 5, j: 1, u: 1, b: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -12, -13, -3, -27, -52 in increasing order.\nAnswer: -52, -27, -13, -12, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2423 - -2435. Put -3, -1\/9, u in increasing order.\nAnswer: -3, -1\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 254139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - n + 2. Let s(p) = -p**3 - 9*p**2 - 8*p - 2. Let q be s(-8). What is r(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 4.1488.\nAnswer: 3.9488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 + 21*h + 4. Is i(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2458, 2461, 2464, 2467, 2470?\n\"Answer: 3*j + 2455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 21*i - 3. Let t(u) = -21*u + 2. Let c(z) = 6*l(z) + 7*t(z). Suppose -10*y = 17049 - 17199. Calculate the remainder when c(-5) is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**2 + 0*i**2 - 2*i**2)*(1 + i - 1) + 0*i**3 + i**3 + 0*i**3 - 7 + 2*i**3 + 28 + 91 as x*i**3 + b + d*i + t*i**2 and give b.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46849014 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/8 and -103\/29760.\nAnswer: 29760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 4*u + 5. Let x be h(-7). Let g = x - 11. List the prime factors of (g - 5) + (3 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -11097?\nAnswer: 11098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 1. Let n(m) = -12*m**2 - m + 3. Give -n(d) - s(d).\nAnswer: 12*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 7:51 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 1, z: 1, c: 2, g: 2}. Give prob of sequence gr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.4 (c) -21 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -14. Let p be x\/2 + 18\/4. Let c be 5\/3 - (-2)\/6. Sort -1, c, p.\nAnswer: -1, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o + 26222 - 26222 - 5066*o**3.\nAnswer: -5066*o**3 + 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j - 22. Let k(n) = -295*n - 18. Let r(f) = -42*f - 1. Let q(v) = -k(v) + 7*r(v). Calculate -10*q(b) - 4*y(b).\nAnswer: -2*b - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 + 105 + 2 + 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*q = 143*q - 11590296. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 69.5. Which is the nearest to 0.1? (a) 3 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**5\/60 - y**4\/4 - y**3\/6 + y**2. Let s be o(-5). Differentiate -s + g**3 + 4 - 2 with respect to g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 2:11 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**5 - 3453361*z**4 + 3453388*z**4 + 7*z**5 - 2538*z**2 wrt z?\nAnswer: 360*z**2 + 648*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.467663 to 3 decimal places.\nAnswer: 0.468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 11568962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 49607391 - 17?\nAnswer: 49607374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136481 is divided by 1869.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 64651358 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zttzttztztttttttttt. What is prob of sequence ttt?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-14)*s**14 assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**3 - 2*z**2 - 2*z. Let h(d) = 2*d**3 - d**2 - d. Give 7*h(c) - 3*x(c).\nAnswer: -c**3 - c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u - 2. Suppose 12 = 22*f - 18*f. Calculate w(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-4) + (162\/(-24) - -12). Factor 0*q**2 - 2\/9*q**5 + 0 + 0*q**3 + 0*q - 2\/9*q**d.\nAnswer: -2*q**4*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3\/6 - 1739*z**2\/6 - 1162*z = 0.\nAnswer: -4, 0, 1743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75664 and 536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-3)*2\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27213*k = 3*x - 27209*k - 78, 4*x - 126 = 2*k for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 2\/7*b**7 + 2\/3*b**6 - 1 - 5\/3*b**4 - 11*b + 4\/3*b**3 + 0*b**2 - b**5. Solve s(m) = 0.\nAnswer: -2, -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (10 - (-1 + 16 + -6) - 10) - -71?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26301 is divided by 572.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 2542.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 + 22*h**2 + 21*h. Let d(w) = -4*w**3 + 43*w**2 + 44*w. Determine 3*d(r) - 5*m(r).\nAnswer: -2*r**3 + 19*r**2 + 27*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869 is divided by 77.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/16*20 - -4*1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 1. What is the tens digit of 12\/(-18) - 214\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 11 - 30 + 138. What is the highest common factor of b and 578?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 10*v + 5*v + 37, 4*v = 5*j - 40. Suppose -4*s + 20 = 0, 2*t = -5*s + j + 13. Suppose 5 = q + 6. Sort q, t, -4 in decreasing order.\nAnswer: t, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -370973?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/6 - (-658)\/12. Let o = u + -383\/7. Which is the smallest value? (a) o (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446 + 2*s + 501 - 947.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 5, 3318862 in decreasing order.\nAnswer: 3318862, 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f + f)*(6*f - 2*f - 3*f + (-3 - f + 3)*(2 + 4 - 4 + (-3 + 5 + 0)*(-2 - 3 + 4) - 30 - 14 + 1)).\nAnswer: 44*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239118.\nAnswer: 2, 3, 11, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784462 is divided by 12030.\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*w**2 - 152*w**2 - 5*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - q)*((-3 - 5 + 6)*(6 - 2 - 2) - 18 - 3 - 1) + (4*q - 4*q - 2*q)*(56 - 10 + 7) + (-5*q - 2*q + 6*q)*(0 + 1 - 2).\nAnswer: -79*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.807536 litres?\nAnswer: 5807.536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51 + 51 - 8*l + (-3 + 6 - 1)*(0 - 2*l + 0))*(-10*l**2 + 9*l**2 - 6*l**2) in the form h*l + a + o*l**2 + v*l**3 and give v.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + 1211?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591398 to the power of 1\/2, to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188 (base 14) to base 15.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 24*x**2 + 16*x + 16. Let k(d) = -5*d**2 - 3*d - 3. Let h = 1 - -2. Let m(z) = h*p(z) + 16*k(z). Let n(y) = -2*y. Calculate n(m(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 4 - 4)*(-2 + 1 + 5)*(-3*o + 3*o - 2*o).\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.196 to 0 dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 + 254*x - 43*x - 4*x**3 + 4*x**3.\nAnswer: -3*x**3 + 211*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**3 - y + 1. Let r be v(1). Let i = -7 + r. Suppose -20 = 5*u + k, -352*u = -349*u + 3*k. Sort i, 0, u, -1 in descending order.\nAnswer: 0, -1, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13634 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 7:08 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 699 + -678. Suppose 13 = -v*s + 97. Solve -4*z = t + 7, -3*z - t - 1 = s*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 12:25 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3522 + -3492. Solve 39*f = 29*f + q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 5*u**2 - 4*u - 3. Give s(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -2\/21, 1, 2, -33 in decreasing order.\nAnswer: 2, 1, -2\/21, -0.8, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13812764 is divided by 1480?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 10*h**2 - 2*h + 8. Let f be b(10). Let x be 2\/f*6\/834. Let c = -3757\/3336 - x. Is -1 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4161726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -229\/8?\nAnswer: -229\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 24*s + 9. Let a be v(-20). Is (a + 1 + -3)\/(-1) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2*f = 4, -f - 20 = 3*f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a - 14. Let o(i) = 5 - 2 - 32 - 15*i. Let g(y) = 6*o(y) - 13*v(y). Give g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9268471\/90 + 102981. Find the common denominator of -125\/48 and c.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-189)\/(-175) - -3*2\/(-6). Suppose 14 = 2*h + 4*q, q - 5*q = -12. Suppose 0 = -b + c, 6 = -5*c + h. Is b not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13900, 13902, 13906, 13912, 13920?\nAnswer: 13930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 2 + 1\/3*w**3 - 3\/4*w**4 - w**2 + w. Let h be c(1). Let n(z) = 1. Let q(u) = u - 2. Calculate h*n(l) - 2*q(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = 4*u + 18, -w + 50 = 4*u. Suppose 4*o = w + 6. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 at most 326952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2595 divided by -865.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 4 = -5*r. Let q be (r\/(-3))\/((-17)\/(-51)). Do q and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-8))\/(3\/(-256)). Suppose -4*n + 3*x + 99 = 0, -5*n - 3*x + d = 11. Suppose -4*u + 2*u + n = 0. Solve -w - u = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 521945210 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 14*h**2 + 29*h + 38. Let t(y) = 5*y**2 + 12*y - 4*y + 13 + 2*y. Let f(v) = 6*s(v) - 17*t(v). Let u be f(5). Sort -5, u, -3 in ascending order.\nAnswer: -5, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aepaapahtppeese. What is prob of picking 1 t and 2 a?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**2 + 2382583 + 174*j - 2382588 - 174*j.\nAnswer: 14*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2278 and 3082.\nAnswer: 52394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -z + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1419 - -0.5.\nAnswer: -1418.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 469243505 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63633653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33165, 66328, 99491, 132654, 165817, 198980?\n\"Answer: 33163*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59117*m**3 - 28*m**2 - 4242240*m wrt m.\nAnswer: -354702*m - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 164?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42096692.\nAnswer: 2, 11, 17, 167, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/9, 2\/13, 23?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -179. Let c = 176.89 - y. Is 2\/5 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-45)*u\/u**(-43) assuming u is positive.\nAnswer: 1\/u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6779538 - -0.1\nAnswer: -6779537.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/6 + 5*u**2\/6 + 7*u\/6 + 1\/2 = 0. What is u?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-3.279\nAnswer: -1.6395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4841845?\nAnswer: 5, 23, 71, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*n**2 + 1708*n - 1920*n**5 + 69*n**2 - 19*n**2 - 18*n**2 wrt n.\nAnswer: -38400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 + a + 29 + 0*a + a.\nAnswer: 2*a - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5*((-104)\/(-20) - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*b = -16, 2*g + 5*b = g - 29 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858840.1km to micrometers.\nAnswer: 858840100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-6)*-1*322\/35.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + 11. Let y = p + -3. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101010111110000010 + 1?\nAnswer: 1110101010111110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**4\/24 + s**3\/3 - 29*s**2. Calculate the remainder when 54 is divided by p(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 1\/3, 3081.\nAnswer: 1\/3, 4, 5, 3081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 13*i**2 + i - 2. Let p(x) = -8*x - 32. Let c(n) = -6*n - 32. Let d(s) = -c(s) + p(s). Determine m(d(l)).\nAnswer: 52*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (438\/4)\/((-20)\/(-43 - -3)) + -3. Solve -21*f + n = 15*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -1020404?\nAnswer: -1020401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 n when four letters picked without replacement from onnnonnnonnonnoonon.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 217864 rounded to the nearest 1000?\nAnswer: 218000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -180 (b) -37 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*q - 6*q**4 - 12587*q**3 + 12587*q**3 + 2 + 5*q in the form h*q**2 + u*q + k*q**4 + c*q**3 + f and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (1 + sqrt(704)) - sqrt(704)) + -2)**2 + sqrt(704) + -6*(sqrt(539)*1)**2.\nAnswer: -2521 + 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 3*m + 2. Let t be (20\/15)\/(2\/3). Let a be ((-1)\/2)\/((-2)\/(-16)). Let r = a + t. Give c(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -13, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acccca. What is prob of sequence acac?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n**2 - 40*n + 8. Let r be i(6). Solve -d - 3*d = y + r, d - y = -5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -1\/5, -0.6, -38, 1\/6, -1\/879?\nAnswer: -1\/879","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576148*r + 576891*r = 5944 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 30*o**2 + 32*o - 99. What is i(29)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4bab (base 13) in base 3?\nAnswer: 112210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5436*t - 8607*t - 17065*t.\nAnswer: -20236*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Suppose -p*o - u + 62 = u, -u = 5*o - 79. Let r(t) = -t**2 - 9*t + 6. What is the least common multiple of r(-9) and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwpcywppyy. What is prob of picking 3 w and 1 c?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2488582693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -696 in ascending order.\nAnswer: -696, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 0)*(-18)\/10. Suppose 2*x = -1 + y. Suppose -x*t = 3*i + i + 12, 4*t = 3*i - 26. Let q(b) = b**3 - b**2 - b + 1. What is q(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-544)\/(-2024) + (-36)\/198.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 14) to base 12.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 0*q + 0*q + 3*q + 2*q - 3*q + (0*q - q + 3*q)*(-4 + 2 + 4) + 1 - 1 - q + 2*q - 3*q + 3*q + (-21 + 21 - 3*q)*(3 + 3 - 3).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express h - h + 2*h + (3 - 1 - 4)*(86*h - 46*h + 253*h) as d*h + i and give d.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14743*i + 7375*i + 7374*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c + 1. Let i(f) = 0 - 2 + 1. Let a(w) = 3*i(w) - m(w). What is the derivative of a(r) wrt r?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykx when three letters picked without replacement from kykykyyyxkkkx.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 951039.376 rounded to the nearest 1000?\nAnswer: 951000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q. Let y(z) = -2*z - 45. Give y(u(t)).\nAnswer: -22*t - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 1. Let b be j(-2). Suppose -b*n - 26 - 89 = -5*c, c - 26 = 2*n. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a655442 - -5?\nAnswer: -a655438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34c - 2?\nAnswer: -34e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 227*t**2 - 2. Let l(w) = w. Determine k(l(n)).\nAnswer: 227*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -91*t**3 - 3*t**2 + 1387*t - 3104218.\nAnswer: -273*t**2 - 6*t + 1387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3125 + -3120. Let b(r) be the third derivative of -4*r**2 - 5\/8*r**4 + 5\/3*r**3 + 0*r - 1\/42*r**7 - 1\/12*r**w + 0 + 1\/8*r**6. Factor b(n).\nAnswer: -5*(n - 2)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -24, 2\/15, 3 in descending order.\nAnswer: 3, 2\/15, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 146563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 14*y - 21. Let k(x) = 7*x**2 + 28*x - 41. Let f(m) = -2*k(m) + 5*s(m). Give f(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 8*w + 217294 = 217211, 5*p + 8 = -3*w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 19431434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280594 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -14. Suppose 4*q = -4*l + 39 - 7, z*l = q + 12. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9836 and 11124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9, 76, 187, 342, 541, 784, 1071?\n\"Answer: 22*f**2 + f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000081459636 rounded to 6 dps?\nAnswer: 0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 + 370 = -48*n - 166 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -30*l + 51. Suppose -d - 6 = -3*a, -3*d = -3*a - d + 6. What is q(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16510515 to the nearest integer?\nAnswer: 4063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c - c)*(-2 + 2 - 4) + 2 + 0 + 2*c - 1 + (-5*c + 3*c + 3*c)*(1 - 4 + 4).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223.65*14251.\nAnswer: -3187236.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-25)\/(-2)))\/(30\/(-25))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1538 times -43881?\nAnswer: 6748.8978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 342 - 521. Let k = q + 182. Put -2, 2, 1, k in descending order.\nAnswer: k, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64521 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190570 by -2.\nAnswer: -95285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -z + 205, -3*b + 4*z = -172 + 26. Solve -9*y - b = -30*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a factor of 209368876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 2*h**3 + 13*h**2 - 3*h**2 + h**4 + 0*h**4 - 5*h**2 to the form g*h**4 + m*h + z*h**2 + a + j*h**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220011010 - -2?\nAnswer: -1220011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 139*b**3 + 254*b**2 + 2716*b + 3288.\nAnswer: (b - 137)*(b - 6)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 649 divided by 19.\nAnswer: 649\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-76)\/10 + 30\/(-75). What is the units digit of x\/(9 - 17) + (-152)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 6*o**3 - 4*o**3)*(3*o - 3*o - 2*o) + (-3 + 6 + 2)*(-4*o**2 + 4*o**2 + 2*o**4) - 2*o**4 + o**3 - o**3 + 2*o**4 - o**2 + o**2.\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2.813 + -41597\nAnswer: -41594.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6721 - -7301. Solve 578*k - f*k - 14 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 25563.\nAnswer: -4\/25563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 + -1.43. Let s = 1.536 + f. What is s rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 104216098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 9*i. Let m(h) = 3*h**2 + 2*h - 11. Let d be m(5). Suppose -70*v + d*v = -16. Give n(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.239 + -2.239. Which is smaller: 0.09 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -546.\nAnswer: -1\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a hour?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 16 (b) 5 (c) -1159 (d) 0.3 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let l(f) = 34*f + 717. Let a be l(-21). Solve -3*s + a = -2*h - r*h, 2*s - 2*h - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*a = -3*z - 3, 0 = -4*a + 12. Suppose -2*g + 30 = -0*g. What is the remainder when g is divided by (z + -5)*(0 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 - 100. Let y = -2 - -3. Which is the second biggest value? (a) g (b) y (c) 0.1 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 226, 898, 2016, 3580, 5590, 8046?\n\"Answer: 223*w**2 + 3*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 19*f**2 - 23*f - 46. Calculate p(-20).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 11240.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 448 by 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*y + 38*y + 9*y)*(0 - 1 + 0).\nAnswer: -62*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 5, e: 1, f: 3, h: 3}. Give prob of picking 1 e and 1 c.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 1. Let s be (-19 - -1)\/(-6 - (-69)\/12). Let f(d) = 68*d - 2 + s*d - 139*d. Determine -2*f(g) + 5*q(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31 and 52390.\nAnswer: 52390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38.42 - 39. Let g = 7.38 + j. What is g rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - 13) + (-1 - (5 + -7)) + 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 3:42 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*l + 2*d, -4*l + 4 = -4*d - 0. Let f(h) = -h + 11. Let r be f(l). Let u(t) = -6 - t - t + 15. Give u(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -7 (c) -1\/11 (d) -0.7 (e) -1 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 7*k - 6*k = 2*k - k - 96, k + 253 = -15*h for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 9*b**2\/2 + 3*b + 21. Let r(m) be the first derivative of m**2 - 20. Determine r(d(u)).\nAnswer: 18*u + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*(2 - 2 + 1)*(7 + 8*o - 7).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4) + (11 - 2163\/84) + -12.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*r - 5*q, -5*r + 2*q + 0*q = -67. Let z(k) = -5*k - 4. Let b be z(-3). Let y = 94 + b. Calculate the highest common factor of r and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43.28 - -44.28. Which is the closest to 16? (a) -0.1 (b) 0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/2 (b) -4 (c) 3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 1.4.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4 - 4*i - 13 - i. Let y be (-61)\/7 - ((-144)\/(-56))\/9. List the prime factors of h(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**5 - 2*y**5 + 2*y**5 + (2*y**2 + 2 - 2)*(2 + y**3 - 2) + (3*y - 3*y + y)*(-y**4 + y**4 + y**4).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.09 + 16.59. Suppose -4 = -3*t + t. Let m be (t*1)\/(5 + 0). Which is the second biggest value? (a) m (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b - 4*b)*(1 + 0 + 0)*(-2*b**4 + 3*b - 3*b - 3*b**4 - 2*b**4 + 4*b**4 + (4*b - b - 2*b)*(2*b - 2*b - b**3)).\nAnswer: 8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 261823921 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/504)\/(2\/(-16)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385*w - 1664*w - 11*w - 855*w.\nAnswer: -2145*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 7:29 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -u + 38, -u + 0 + 2 = 0. Let n be (-7)\/(-3) - 3\/o. Find the second derivative of 2*x**2 - 48*x**5 - 7*x - n*x**2 + 39*x**5 wrt x.\nAnswer: -180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) + -5*1*sqrt(153)))\/(-4*sqrt(144)).\nAnswer: -5*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -6478 and -6473 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*g = -3*g - 16, 2*g = 2*b. Find the second derivative of 7*i**4 + 16*i - b*i + 0*i wrt i.\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7155 and 27250?\nAnswer: 38994750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.096906 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 2*t**3\/3 + t**2 + 26*t + 2. Let w = -7 + 10. Let l(a) = a. Give w*l(o) - q(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 35013.292.\nAnswer: 10503.9876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17175348 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, j: 6}. What is prob of sequence jjj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/255 and 127\/204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201839.\nAnswer: 11, 59, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/((-1587)\/(-897)))\/(((-2)\/(-2))\/1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -70 - 14*b**2 - 9 - b**3 - 4*b - 14 + 97 in the form c*b + s*b**3 + t*b**2 + q and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 15 + -10 - 15) + 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 12:23 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 0.2 (c) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37388?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a - 6. Let s = 4 - -6. What is the remainder when s is divided by f(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 2*o - 5*r, o + 3*r - 52 = -41 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 10*k - 5. Let z be h(6). Suppose -s = -94 - z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/14)\/k)\/k*k*k**(-2\/3)*k)\/(k**(-2\/5)\/(k**(-3)*k)))\/((k*k\/k**2)**(2\/17))**(13\/3) assuming k is positive.\nAnswer: k**(-491\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3*6.\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -14. Suppose 2 = 2*q - 0. Let w(c) = 20*c**3 + c**2 - 2*c + 1. What is the smallest common multiple of w(q) and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -2*k**5\/35 - 4*k**4\/7 - 16*k**3\/7 - 32*k**2\/7 - 32*k\/7 - 4. Find v such that z(v) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -166227\nAnswer: -1\/166227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrqq when four letters picked without replacement from rqqrrqqqqqqrrrqqrrqr.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20410177 and 391?\nAnswer: 346973009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 0 + 0 + 12. Suppose -7*m + v*m + t - 53 = 0, -3*m = -5*t - 57. What is the remainder when 246 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/(11 - ((-243)\/(-90) - -8))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-153 - -160) + (-5 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 24 = 3*y. Let x = 7 + y. Do x and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(288)*4 + sqrt(16)\/(sqrt(8) - (sqrt(72)\/sqrt(9) - sqrt(8))))**2.\nAnswer: 196*sqrt(2) + 4806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (6\/(-8) - (-18)\/24). Suppose 3*n + 8 = -s. Let i(g) be the second derivative of -g**4\/12 - g**3\/6 - g**2\/2 + 3*g. What is i(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -3225.\nAnswer: 17\/3225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 618b8b58 + -5?\nAnswer: 618b8b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 + -0.02. Let o = -3.01 - t. Let j be 2\/(-8) - (-18)\/136. Sort o, 1, j in increasing order.\nAnswer: o, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 (base 7) in base 16?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -178*c**3 - c**2. Let m be n(-1). Suppose 4*p = -29 + m. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 3705\/273 + (8\/(-14) - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**5 + 19651*i**4 + 426139*i**3 + 3043609*i**2 + 6881245*i - 1917272 = 0. Calculate i.\nAnswer: -4891, -8, -7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2 + 16*g + 17 = 0. Calculate g.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(-7)\/(-35) - 53. Let a(o) = o**3 - 5*o**2 + 4*o - 5. Let q be a(5). Let c = q - w. What are the prime factors of c?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178255 (base 9) in base 16?\nAnswer: 1b1ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/4 + -11\/4. Let g = -3.8147 + 3.8147. What is the nearest to 2 in 0.5, j, g, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1354141 - 144?\nAnswer: -1354325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 491213240 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.7 and 0.06.\nAnswer: -0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkww when four letters picked without replacement from skwkkssukusw.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 - -11 - (252\/52 + -4). Let z = -38 + 42. What is the third biggest value in u, 5, 55, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2844 by -711.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -23*c**7\/15 + 793*c**5\/60 + 197*c**2. What is the third derivative of d(x) wrt x?\nAnswer: -7728*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-1)\/(-4))\/((-390)\/(-52)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 2:30 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 817 - 813. Sort b, -10\/3, 5, 0.06 in ascending order.\nAnswer: -10\/3, 0.06, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + (sqrt(125) - (-5 + (sqrt(125) + -4 - sqrt(125) - sqrt(125)))) - (2*(sqrt(35)\/sqrt(7) - sqrt(5)) + 4))**2.\nAnswer: 150*sqrt(5) + 1150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -245 - -249. Suppose -n - r - 6690000 = h*r, r = 0. Round n to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**3 + 1\/20*v**5 - 4*v**2 + 1\/8*v**4 + 0*v + 0. Factor j(b).\nAnswer: 3*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*i**2 - 29 + 204*i**2 + 29.\nAnswer: 127*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 386\/7 - 55. Suppose -4*x + 8*x - 8 = 0. What is the nearest to 2\/7 in i, 0, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(875) + sqrt(875) + sqrt(875) + (5*sqrt(875) - sqrt(875)))\/(3*(sqrt(5)*4 + sqrt(5)))*-4.\nAnswer: 56*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10704 divided by -1709?\nAnswer: 10704\/1709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6 + g - 4 + 0*g. Let j be d(-2). Suppose 5*i = -3*m - 11, 4*m + 2*i = -j*m + 4. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*t**4 + 8 + 33*t**4 + 24*t**4 + 38 wrt t?\nAnswer: 340*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1948 = -3*g + l, l + 476 = -4*g + 3085. What is the greatest common divisor of 1092 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.612*-199\nAnswer: -320.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*s - 88 = 0, -3*d - 2*s + 48 = s. Calculate the greatest common factor of 171 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 8*m**2 - 2*m + 5. What is z(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 5*d + 8. Let q(r) = -76*r**2 + 38*r**d - 3 + 32*r**3 + 38*r**2. Let z(u) = -11*u**3 + 1. Give 6*q(o) + 17*z(o).\nAnswer: 5*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - ((-2)\/(-1817))\/(11\/16819). Let t = 1\/79 - b. Is t at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 152 + -148. What is the third derivative of -71*n**2 - 10*n**4 + 14*n**4 + 5*n**2 + 4*n**3 + 3*n**l wrt n?\nAnswer: 168*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -309 - -312. Which is the third biggest value? (a) -0.04 (b) z (c) -1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 801\/105328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -323 times 1\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*x + 12, -x - 2 = -1. Let o = 5 + w. What is c in 38 - 9*c**2 - 4*c**o + c**3 - 38 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 + 7146. Suppose 3*z = -3*f - 5028, 5*f + q = -z - 1319. Let x be f*((-20)\/(-3))\/2. Round x to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 3*i - 5)*(-2*i + 2*i + i**2)*(-2*i - 3*i + 6*i) to o*i**2 + j*i**4 + v*i**3 + r + w*i and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1643*i + 817*i + 812*i = -98 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 411 = -5*b + 802, -3*b + 727 = 2*o. Let d = 4099\/17 - b. Let c = -1.2 - -1.3. What is the nearest to -0.1 in -3\/5, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 4*r + 665. Let c be 3\/(-2)*r\/12. Let i = 33 - c. What is the highest common factor of i and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727408343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 4*o - 11. Let x = -3248 - -3248. What is c(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.04, 6\/13, 1\/47, 3, -3.\nAnswer: -3, -1\/2, 1\/47, 0.04, 6\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -721\/8 + 90. Let p be 2\/(-5) - 11\/(-15). Let w = -57\/22 + 241\/110. Which is the closest to 1\/4? (a) w (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 869.0317 litres to millilitres.\nAnswer: 869031.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -72 - 143. Let z = t - -173\/4. What is the nearest to 0 in z, -3\/7, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 1. Let c(k) = 153*k + 8. Let h(a) = c(a) - 2*d(a). Let z be h(6). Suppose 3*n = -2*n + z. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*k + 10 + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -67c71a - 4?\nAnswer: -67c71e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102743408.\nAnswer: 2, 691, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*l - 21 - 59 = 0. Which is the biggest value? (a) 2\/9 (b) l (c) 48 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 169572566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 5*q**2 - 21*q + 51. Let j be c(7). Suppose -5*i + 5*m = -560, -2*i + 569 = 3*i - j*m. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**3 - 220*x**2 - 706*x - 5. Let q(m) = 2*m**3 + 109*m**2 + 352*m + 2. Let r(z) = 2*d(z) + 5*q(z). Find the second derivative of r(g) wrt g.\nAnswer: 12*g + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1033682*h**2\/11 - 20673636*h\/11 + 80\/11 = 0. Calculate h.\nAnswer: -20, 2\/516841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1274625?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -3*j**5\/10 + 43*j**3\/6 + 211*j**2\/2 - 111*j + 2. Differentiate d(a) with respect to a.\nAnswer: -18*a**2 + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*h = 0, -3*h = -3*s + 1 + 17. Suppose -3*j - 2*w + 3 = -5*w, 0 = 2*w - 6. Suppose -j*i = -s*i. Solve 4*d - 4*m + 8 = i, -7*m = -2*m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 9. Suppose 5*k + 3 + 6 = d, 5*d - 2*k + 24 = 0. Let p be r(d). Calculate the greatest common factor of 6 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 166 - 170 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.615773 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.17 + -3.27. Let p = d + 2.10000208. What is p rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 0 = -o - 3*j, -156 = 3*o - 5*j. Let n = -50 - o. Solve -n - 2 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 216 + -244 - (-16 + -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29898 - 2092999\/70. What is the common denominator of k and 41\/2?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 4. Suppose 18 = 2*y - k*y. What is the common denominator of -54\/5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/300 and -97\/50.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1241270 and 34750?\nAnswer: 31031750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48695 + -26053. List the prime factors of x.\nAnswer: 2, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 + -61. Let c be (4 - -2)*(-1)\/y. Suppose d = -3, 0 = 3*t + c*d - 0*d - 228. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11130 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 2)*(-1 - 2 + 0)*(-34 + 3*r - 8 - 102)*(0*r - 3*r + r).\nAnswer: 108*r**2 - 5184*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (1*sqrt(112))\/sqrt(8) - (sqrt(14) - 2*sqrt(126)))\/(-2*sqrt(28)\/(sqrt(4) - sqrt(36))).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -4. Let k = -5.5 + 0.5. Let f = k + 4. Sort -0.5, j, f in ascending order.\nAnswer: f, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112 + 183. Let u = -110 + s. What are the prime factors of (4\/4)\/((-3)\/u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**4 - 44*a**2 + 743.\nAnswer: -4*a**3 - 88*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*u - 0*u. Solve 0 = -5*a + 4*r + 15, -4*a - u*r + 0*r - 14 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35040 by 160.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ussu when four letters picked without replacement from {s: 5, u: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 3, n: 5, p: 4}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5 + 9776*j**4 + 19529*j**3 - 185774*j**2 - 664692*j - 586440 = 0 for j.\nAnswer: -9774, -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 57349890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p - 4*p + 64612 = 0. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.4. Let v = h - 12.7. Let m = v - -12.996. What is m rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 times 0.2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*h - 64*h + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 h when three letters picked without replacement from hmammfmmhfmfamemmaf.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3255181 to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -34*h - 350. Let n be i(-11). Solve 2*r + 4*x + n = 0, -4*r = 2*x - 4*x + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20 (b) 24.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380656720.\nAnswer: 2, 5, 4758209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -g + 1 + 8, 4*g + 2*r - 22 = 0. Let f(b) = b. Let m(d) = 3*d**2 - 12*d. Let s(l) = g*f(l) + m(l). Solve s(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20163.99583 and 0.1?\nAnswer: -2016.399583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5359, 5431, 5613, 5959, 6523, 7359, 8521, 10063?\n\"Answer: 9*t**3 + t**2 + 6*t + 5343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*m + 2*z + 5, 0 = 2*z - 2. Which is greater: m or 2\/587?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197472*b + 197468*b + 989 - 989.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 852*x - 28255. Calculate l(35).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 4737, -4 in increasing order.\nAnswer: -5, -4, 2, 4737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.7500782nm?\nAnswer: 0.0000000000007500782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66619965121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**5\/60 - q**4\/8 - 48*q**2. Determine a(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 5*x + 18 = 26, 0 = 14*q - 4*x - 28 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*28\/12 + (-2552)\/174?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -467*z**2 + 127011*z + 3540. What is r(272)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 3. Let y(s) = 4*s - s + 63 - 60 - 5*s. Let m(q) = 6*q + 21. Let f be m(-3). Determine f*v(u) - 2*y(u).\nAnswer: -2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**3 + c**2 - 1. Let b be q(1). Calculate the smallest common multiple of ((-6)\/5)\/((-1)\/b) and 11\/2 - 5\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u - 37. Let d(w) = w - 10. Let r be d(-3). Is q(r) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2*f - 55 + 53 = 0, b + 3*f = -9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/8 + 2\/(-8). Suppose 2*x = -d*z + 2 - 12, 5*x - 4*z + 2 = 0. Which is the smallest value? (a) x (b) -2\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q + 55*q = 111 + 439 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 12) to base 2\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnzpzppm. Give prob of sequence pzn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*m + 0*m + 3*m)*(-5*m**2 + 9*m**2 + 6*m**2) - 2*m**3 - 2*m**3 + 6*m**3 + m**3 + m**3 - 3*m**3 + (-2 + 2 - 2*m**2)*(m - 2 + 2))*(4*m + 0*m + 8*m).\nAnswer: -372*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + 504d?\nAnswer: 503d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = 3*f. Let g(w) be the third derivative of -w**6\/180 - w**5\/120 - w**4\/24 + w**2. Let l(r) be the second derivative of g(r). Determine l(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, k: 2, i: 2, a: 4}. Give prob of picking 2 b and 1 i.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**5\/4 + t**3\/6 - 2*t + 13. What is b(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 - 1.48. Let p = 0.0197 + -0.0197. Is r greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5094 and 12.\nAnswer: 10188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o**2 + 11*o + 61. Let c(j) = -j**2 + 2*j + 12. Determine 11*c(f) - 2*m(f).\nAnswer: 3*f**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 - 37093*m**2 - 6*m**3 - 61*m + 61*m + 37093*m**2 + 115.\nAnswer: -6*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + -200200?\nAnswer: -201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q*s**2 - 94778484*q*s + 8592927*s**2 wrt s.\nAnswer: -2*q + 17185854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Suppose k - f - j*f = 2, 5*f = 10. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3360 and 362145?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -83600 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 0*f + 18*f**2 + 0 + 13\/8*f**4 + 0*f**3. Let h(u) be the first derivative of u**3\/3 - 85. Determine g(h(k)).\nAnswer: 39*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13 - 0) + 5\/(-5). Let j = 17 - u. Solve -2*b + 5 = j*n - 13, -2*n - 2*b + 12 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 13*a - 2*a + (2*a - a - 2*a)*(-2 - 1 - 1)*(-1 - 2 + 2).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - -4 - (1027 - 996)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 160*p**3 + 3*p - 165*p**3 + p**2 - 8*p. Let n(s) = -14*s**3 + 3*s**2 - 14*s. Give 11*i(w) - 4*n(w).\nAnswer: w**3 - w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**3 + 75*f**2 - 6018*f = 0?\nAnswer: -59, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h**3 - 353*h**2 + 15*h - 446. Let p(x) = 4*x**3 - 176*x**2 + 6*x - 224. Let c(g) = -5*p(g) + 2*v(g). Differentiate c(d) with respect to d.\nAnswer: -6*d**2 + 348*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4060484 (base 10) to base 9\nAnswer: 7567838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 4*t - 3. Let k be m(-5). Solve n - 3*n + k = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 + 31. Let i = a - 30. Let r = i - -55.99999949. What is r rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**3*z**5 + 8383892*f**3*z**3 + f**3 - 106810*f**2*z - 2*f*z - 119*z wrt z.\nAnswer: 80*f**3*z**3 + 50303352*f**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2 - -6)*(17 + -11)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89450.95 centimeters to nanometers.\nAnswer: 894509500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -291*m + 28. Is r(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0209*-443611\nAnswer: 9271.4699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - r = -2*t + 10, -34 = 4*t - 5*r. Is 11 a factor of t\/(-15) + 1532\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 10. Suppose 3*r = 3 - t. Is (10\/(-25))\/(r\/(-25)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2715*k**3*s - 2*k**3 + 2*k**2*s + 293*k*s - 20*s wrt k.\nAnswer: -16290*k*s - 12*k + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 174*l**2 + 1 - 1 + 318*l**2.\nAnswer: 492*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5429333.\nAnswer: 7, 13, 59663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20703669?\nAnswer: 3, 7, 797, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 = 10*x + 28. What is the remainder when 198 is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 66667*r**2 - 17. Let h be y(-9). Suppose 0 = -2*g + 4*g - 2*t + h, 3*g = -t - 8099995. Round g to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 4:51 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**4 + 0*u**4 - 2*u**4)*(166 - 198 + 101).\nAnswer: 69*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 0*o + 375. Suppose 0*w = -5*h - w, -5*h = 2*w. Let m be 4 + (-1 + h)*99\/(-9). What is the highest common factor of m and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33385350?\nAnswer: 2, 3, 5, 131, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1057 = -10*l + 1993. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 2*y - 18419 + 17*y**2.\nAnswer: 17*y**2 - 18419","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 4*y**2 + 2*y - 5. Let q be 300\/(-525) - (-25)\/7. Calculate a(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -170399 - 86185. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -8. Suppose 2*g + 273 = n*x - 0*g, -5*x - 4*g + 279 = 0. Let b be (-3)\/(-4) - x\/20. Is -1 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*z - 11*z + 7*z - 2*z**3.\nAnswer: -2*z*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 q, and 1 u when three letters picked without replacement from jjdqqjqjjqjddqudd?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 13. Let p = 7 - o. Solve -f + 5 = 2*l, 0 = p*f - 0*l - 4*l - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 138\/11 (b) -3\/4 (c) 2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.007892 and -1?\nAnswer: -0.007892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (-214)\/(-17))*4\/(-14)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1091347 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 7. Suppose 0 = -2*b - 7 - 3. Let y = 33 + -26. Let l(t) = -y + 22 - 12. What is b*l(m) + 2*o(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 15 = z. Suppose 149 - 20 = v. Suppose -x - 4*b = -v, b - 435 = -3*x + z*b. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 + 0 + o + 1 + 2*o**2. Let i(a) = 47*a**2 - 99*a**2 + 48*a**2 - 2*a. Let u(t) = i(t) - 2*m(t). Factor u(b).\nAnswer: -2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*q**3 + 23*q**3 - 1656 - 874.\nAnswer: q**3 - 2530","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4163 - -2902. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 10*j - 9 = 3*j, 0 = 4*j - 8. Solve 0 = 4*a + w - 9, -g*w = 3*a - 2*w - 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541246711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b6d34 (base 16) to base 12.\nAnswer: 200b530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1\/19, -3, -2?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1639 is divided by 79.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12a + -3a0?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (48\/(-18))\/((-2)\/(-6)). Let j(s) = s**2 + 6*s + 12. Let w be j(n). Let f be 5 - (3\/(-3) - 1). Calculate the greatest common factor of f and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -808*u**7\/7 - 29*u**3 + 715. Find the third derivative of o(x) wrt x.\nAnswer: -96960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/3)\/(((-98)\/((-4116)\/(-63)))\/((-342)\/8))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129482442 to the nearest integer?\nAnswer: 11379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 190, 379, 588, 823, 1090, 1395, 1744?\n\"Answer: k**3 + 4*k**2 + 170*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -667 > -667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.82 - 0.18. Let q = 16.958569 + 0.042071. Let t = q + g. Round t to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - ((-12 - -11) + 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 11 = -3*c, 4*u = -58*c + 60*c + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 8*q - 10 - 2*q**3 - q**4 + 6 - 6*q to the form u + g*q**2 + y*q + j*q**4 + w*q**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 10*w - 12. Let f(h) = -h + 2. Let y be f(-1). Suppose q = -5 - y. Give a(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -20*h + 26. Let q be 3\/9 - h\/6. Which is the second smallest value? (a) -2\/35 (b) -2\/9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055939714 - 0.01178?\nAnswer: 0.044159714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -20, 2*f + 5 - 43 = -4*z. Let o = f + -5. Suppose 5*i + 21 = 3*u, u - o*i + 5*i - 15 = 0. Solve 4*k - u = 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from {m: 2, j: 1, p: 4, e: 1, g: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**4 - 278*j**2 - 136 wrt j?\nAnswer: 8*j**3 - 556*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 754089 and 646362?\nAnswer: 4524534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 5. Let x be (-5 + 1)*(-7)\/(-2). Let b be x\/(-4)*-2 - 2. List the prime factors of l(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4 + (-8)\/((-5280)\/195).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, r: 5, m: 7, i: 2, l: 2}. What is prob of sequence mw?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/25 (b) 0.621 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j + 30*j = 300. What is the remainder when j is divided by (1 + (-21)\/2)*-2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35166 divided by 4.\nAnswer: 17583\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.12 (b) 0.5 (c) -1\/8 (d) 1 (e) -2541\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-3))\/(2\/(-4)). Suppose 0 = y - a*y + 553. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v**5\/v))\/((v**0*v*v)\/v))**(-21))**(9\/7))**(-13) assuming v is positive.\nAnswer: v**(-1404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 7*y - 24. Let k = 14\/11 + -48\/55. Solve 0*w**2 + 0 - 2\/5*w**3 + k*w**y + 0*w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 7*n**2 + 16*n + 2. Let r be z(8). Suppose -74*f = -r*f - 96. What is the third smallest value in 4, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = 7*f - 108. Calculate the greatest common factor of f and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.1 (b) -33 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o + 2 = 0. Suppose -2*u + 14 = 30. Let b(d) = -d**2 - 9*d - 5. Let q be b(u). Solve y - q*v = 3*y - o, 5*v = 4*y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076617 (base 11) in base 8?\nAnswer: 7135232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 34*c**4 + 45*c**5 - 9*c**4 + 32*c**4 + 46*c**5 + 77*c**5 - 30*c**3 = 0.\nAnswer: -5\/8, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -9. Let h(o) be the first derivative of o**4\/4 - 8*o**3\/3 + o**2 - 12*o + 5. What is the smallest common multiple of h(f) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 7*t - 5. Let x = -20 + 34. Let n = 18 - x. What is p(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4\/(-56)*-1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 29*y**3 + 17*y**2 - 13*y - 9. Let l(v) = -7*v**3 - 4*v**2 + 3*v + 2. What is 9*l(b) + 2*z(b)?\nAnswer: -5*b**3 - 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555 divided by 5?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 6*f**2 - 6*f - 7. Let a be g(7). Let x be (-2)\/(-1) - (-8 + 3). Let n be -2*1*2\/x. What is the biggest value in 4, a, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*15\/((-2025)\/18)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (8 - (8 - (-3 + 5))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 16353878.5 to the nearest ten thousand.\nAnswer: 16350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z + 23. Suppose -k - 7 = -q, -5*q + z = -k - k. Let a = 17 + -15. Calculate the least common multiple of q and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11675 or 11681?\nAnswer: 11681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 315270267?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 17. Suppose 290 = 7*z - c*z. Is z a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/10 + (-259182)\/(-165)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12304 - 11373 = 243*k + 27418. Which is greater: -538\/5 or k?\nAnswer: -538\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = 71*y + 12*y + 2639 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.407848cm to meters.\nAnswer: 0.03407848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4687424 is divided by 2343613?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 598 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: b\"What is the sth term of -2436, -2600, -2844, -3168?\n\"Answer: -40*s**2 - 44*s - 2352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1860053.7953486 + 0.3.\nAnswer: 1860054.0953486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3.995 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 20*b**2 + 39*b - 19. Let y be q(18). What is the greatest common factor of y and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 14 = 4*k, 2*q + 3*k - 9 = 5*q. Let z(r) = 0*r**2 + 0 + r**q - 2. What is z(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1821\/16 - 126457\/1104. Let z = -3\/46 - f. Let k = -2 - -3. Which is the third biggest value? (a) k (b) z (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -116. Let f(v) = -v**3 + 9*v**2 - 87*v + 86. Let m be f(12). Find the common denominator of m\/w + 8\/28 and 45\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2 - 8*g - 4. Let l(a) = a + 1. Let q be l(-3). Let k(d) = 7*d**2 + 17*d + 8. Let i(u) = q*k(u) - 5*r(u). Is i(-8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11250116.\nAnswer: 2, 281, 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 95 = 111. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (160\/(-60))\/((-64)\/(-528))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 8 = -5*v + 33, -2*k - 5*v - 22 = 0. What is the units digit of (k\/(-35))\/((-1)\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - -0.38. Let r = 4.02 + y. Let j = 0.7 + -0.5. Which is the nearest to r? (a) -4 (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -451666 and -0.0063.\nAnswer: 2845.4958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205466551 (base 7) to base 5.\nAnswer: -11110424240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 969.2901ng in kilograms?\nAnswer: 0.0000000009692901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 - 628196*r\/3 - 418800.\nAnswer: 2*(r - 314100)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61 and 13?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*f + 8, j + 0 = 2*f + 2. Suppose -4*h = -5*z - 61, -3*z = j*h - 0*z - 53. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 172240.6 and 2460909.\nAnswer: 2633149.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25944*f**5 - 13411*f**2 + 2 wrt f.\nAnswer: -1556640*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 x when four letters picked without replacement from trnxrtnxtbrttnbxt?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2397633 centuries in millennia?\nAnswer: 0.02397633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 889*l**3 - 2316*l - 10494833 wrt l.\nAnswer: 2667*l**2 - 2316","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 201145.5 centuries in millennia?\nAnswer: 20114.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 12:25 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 947 - 479 + 3074*v**4 + 2*v - 1041*v**4 wrt v?\nAnswer: 24396*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 480 and 2196?\nAnswer: 87840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 52 + 0?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2752 and 24848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-420 - 368 + 216)*(x - 3*x - 18 + 8) in the form c*x + f and give f.\nAnswer: 5720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11126 or 11128?\nAnswer: 11126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -153537.823 and 7.\nAnswer: -153530.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*r**4 - 2*r**2 + 33*r**4 - 4*r + 5*r**3 + 4*r as k*r**3 + z + p*r + w*r**2 + q*r**4 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 = -1, -5*s - 5*t + 85 = 0. Let d(z) = z - 8*z**2 + 1 + z**3 - 2*z + 0*z - 2*z. Calculate the remainder when d(9) is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -86819, -347345, -781577, -1389515, -2171159?\n\"Answer: -86853*g**2 + 33*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 10*n + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + -85 - (8 - -4).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*b + 26 - 16 - 210*b**3 - 10 - 6*b**2.\nAnswer: -210*b**3 - 6*b**2 - 67*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/10)\/(30\/75). What is the third derivative of -35*x**4 + 11*x**4 - 18*x**2 - g*x**4 wrt x?\nAnswer: -624*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 1:18 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.80595 litres to millilitres.\nAnswer: 89805.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 8*m**2 + 3*m - 6. Let t be r(-9). Let u = -34 + t. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 24345*c + 5355908. What is q(-220)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (317\/(-1) - 4)*(-221)\/(-663) + -3.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 1 - 1 - (7 - 3). Let n = -29 + 28. Sort 2, p, -7, n in ascending order.\nAnswer: -7, p, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15513.\nAnswer: 3, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 - 28*b**2 - 58*b + 86. What is i(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -16 + -6 + (6 - 1) + 1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = 6*b - b. Let m be (-1)\/((-4)\/b*4). Sort -1, 1, m in descending order.\nAnswer: 1, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v = -27*v - 10. Sort -6, 2, v in decreasing order.\nAnswer: 2, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x - x = -4*m + 15*x + x + 40, 2*x = -2*m - 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuruururu. What is prob of picking 1 r and 2 u?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*x = -22 - 807 - 23 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -42, -180, -446, -882, -1530?\nAnswer: -2432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-2 + 27 + -13 - 18 - 3) - 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*t**2 - 3*t**2 + 0*t**2)*(-2 + 1 + 6) to l + r*t**2 + w*t and give r.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(4 + -2))\/(-1). What is the remainder when 85 is divided by (-2)\/(-4)*(44 + b)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58758 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (8 - 17 - -11 - -12) - 16.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -750 - -750. Let l(v) = v**2 - 4*v + 5. Let c(g) = 3*g**2 - 11*g + 16. Let r(j) = -4*c(j) + 11*l(j). Determine r(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244 and 1182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -74\/3, 5, 0.3, -0.04084, 0.06, 0.2?\nAnswer: -74\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/((sqrt(36)*-2)\/sqrt(4)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 5 + (3 - 3) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c - 4. Let d be r(19). Differentiate -2 - 1 - 53 - 65*j - d*j wrt j.\nAnswer: -99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 167720 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -47923264 divided by 23961632?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.022, 2\/3, -2\/5, -10\/7, -1\/4 in decreasing order.\nAnswer: 2\/3, 0.022, -1\/4, -2\/5, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20699199 or 20699200?\nAnswer: 20699200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/1539)\/(7\/(-67 - -4)).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.175546 to 0 dps.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**4*y + 4*t**3*y - 2*t**2*y + t*y + 37*t + 2*y wrt t.\nAnswer: -24*t**2*y + 24*t*y - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35544324?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**2 - 5*b + 51. Let v(p) = -6*p**2 - 6*p + 50. Determine 5*d(z) - 4*v(z).\nAnswer: -z**2 - z + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*f**3 - 21*f**3 + 19*f**3)*(0*f + f - 2*f) - 59*f**4 + 98*f - 98*f in the form i + b*f + p*f**2 + n*f**4 + v*f**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 190.22, -0.1, 4, 2\/5, -3\/5, 0.2?\nAnswer: 190.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**3\/9 - 13552*o**2\/9 - 2091602*o\/9 - 692684\/3 = 0.\nAnswer: -6618, -157, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.72818ml in litres?\nAnswer: 0.09772818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 1108, 0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 12 = 3*d, -2*d + 6*d - 20 = -5*o. Suppose 0 = -3*c + o*c. Find q, given that c - 2\/5*q**2 + 0*q = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001335344 to six dps.\nAnswer: 0.001335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 90 = -2*c. Let u be 3\/2 + (-9)\/c. Suppose -5*i - 4 = u*r - 0, 4*i = -16. Calculate the smallest common multiple of r and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.7 - 3.3. Let w(p) = -p**3 + 9*p**2 - 15*p + 6. Let n be w(7). Sort 0.4, n, 0.5, c in ascending order.\nAnswer: n, 0.4, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 30. Let d(i) = -v*i + 7 - 4 - 3. Let j(f) = 49*f. Give d(j(k)).\nAnswer: -98*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 38\/9, -2, -0.5, -5, 4, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from kdkjjkjykdkgdgx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308557?\nAnswer: 97, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9199929 grams to milligrams.\nAnswer: 919.9929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/3 + 609459*z**2 + 6704012*z + 18283660\/3 = 0. Calculate z.\nAnswer: -1828366, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -0*q - 54. Let j(r) = r + 12. Let c be j(q). Suppose 5*k - 2*k - 113 = -2*h, -c*h - 3*k = -162. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 2*q + 3\/2*q**2 + 1\/20*q**5 + 0 + 2\/3*q**3 + 1\/6*q**4. Let r(d) = -d**3 + 2*d**2 + 3*d - 2. Let i be r(3). Determine y(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 8. Suppose -3*s = w - 104, -2*s = -n*s + 4*w + 145. Calculate the remainder when s is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(176\/(-12))*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/((sqrt(20)*-2 - sqrt(20))\/sqrt(2)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 3*g. Let k be z(3). Let i be k*(1 + 1*-2). What is the first derivative of 3*d**4 - 2 + 0 + 0*d**4 + i wrt d?\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (0 - -1)) + (8 - 100) + -4 - -9\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2\/4 - 30*o - 387\/4 = 0. Calculate o.\nAnswer: -3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126.32 + -128.32. What is the second smallest value in 0.12, 4, 0.4, f, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 156 = 474. Suppose -4*q + r + 155 = 0. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g - 5. Let s(k) = -k**2 + 3*k + 6. Let l(r) = -6*r - 249 + 254 + 4*r**2 - 3*r**2. Let t be l(6). Let x be s(t). Give m(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*f - 4*f = 5, a + 3*f = -15. What is the closest to 2\/7 in -7, 2, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -371.36886 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 341 or 343?\nAnswer: 341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-3)\/(-42)*(3 + 35). Let x be ((-9)\/(-42))\/(12\/70)*4. Is y >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40 or 2402?\nAnswer: 2402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u + 19. Let h(p) = 4*p + 9. Let t(n) = -5*h(n) + 3*l(n). Is 3 a factor of t(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**0\/v)**(-8\/15)*v**4\/(v**(-3\/7)\/v))\/((v\/v**2)**(1\/5))**(2\/19) assuming v is positive.\nAnswer: v**(3624\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + sqrt(1700) + -2.\nAnswer: -5 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -810 divided by 27.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.85 and -2.312.\nAnswer: -1.9652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 134 - 1 = 0. What is the highest common factor of 54 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1664 = -609. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8522204 divided by 11771\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 10:38 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 + 54991865\nAnswer: 54991864.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1436 and 79\/125756264.\nAnswer: 125756264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64610468 divided by 244.\nAnswer: 264797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 376940 and 564.\nAnswer: 1130820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36518 and 874.\nAnswer: 839914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/36 and -101\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-320)\/5)\/8)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146\/4587, 0.4, -43, -1 in descending order.\nAnswer: 0.4, -146\/4587, -1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 268 - 268. Is r bigger than -24.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 28 = -4*d, 0 = 3*d + 4*f - 9*f - 31. Suppose -d*w = 11*w - 208. Solve g = 5*g - w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sada when four letters picked without replacement from ashshhadhshaashs?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 3*v - 2. Calculate d(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*l = 17, 2 = 3*o - 4*l - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - -1 - 8\/(-4). Let a = u + -3. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 443*c**3 - 185*c**2?\nAnswer: 2658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -254*g + 12468. Let f be x(-35). Is 21357 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 17. Solve 4*v - j + 21 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -16) + -3 + (3 + -3 - 8)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 5, -5 in ascending order.\nAnswer: -8, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 + 256. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.909, 2\/17, -0.3, 0.3, -14?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 2. Let p be m(-3). Let a be (-12)\/16*1 - (-38)\/p. Suppose 3*h - 5 = -2*o, -h + 3*o = a*o. Solve h*i - 3 = 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3352, 6854, 10356?\nAnswer: 13858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x. Let s(b) = -b + 2843*b**2 - 2841*b**2 - 3 + 2. Suppose -12 = 2*d - 5*d. Suppose 5*c - d*c = -1. Give c*s(h) + 3*m(h).\nAnswer: -2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10570.189027537 and 0.5.\nAnswer: 10570.689027537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38303.4 + 38303. What is the second biggest value in 19, -3, q, -5, -18?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 12. What is s in 2\/9*s**h - 2\/9*s + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1934*y + 374*y**5 - 375*y**5 - 13158 + 1935*y)*(-2 + 2 - 1)*(-2 + 3 - 3).\nAnswer: -2*y**5 + 2*y - 26316","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8928 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 - -50124727.81\nAnswer: 50124727.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1919 + -0.19. Round o to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - j = l - 8, -l + j = -5. Let n(g) = -8*g**2 + 9*g**2 + 0*g**2 - l*g**2. Let z(u) = -18*u**2. Determine z(n(w)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4380?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of n**6\/45 + n**5\/6 + 7*n**4\/18 + n**3\/3 - 21*n - 2. Let a(r) = 0. Calculate r.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93831739 to the nearest integer?\nAnswer: 9687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9980156959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 18753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 450 by 22.\nAnswer: 225\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyrbbrxnrbxryryry. Give prob of sequence xryx.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 19*j + 46. Let b be w(21). What is the highest common divisor of b and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284080 a multiple of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9453, -9928, -10403, -10878?\nAnswer: -11353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + o + 1. Let j(q) = 27*q**3 - 8*q**2 - 10*q - 26. Let g(t) = -9*t**3 + 3*t**2 + 3*t + 9. Let i(c) = 8*g(c) + 3*j(c). Determine 6*h(k) + i(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*m - 2428 - 11038 = -1494. Solve 150*k = m*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x**2 + 5 - 5.\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + -3.96. Let c = -6 + 5.92. Let h = c - -0.18. Sort d, -1, h in increasing order.\nAnswer: d, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/10 and -151\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + 2 + sqrt(7)*-2)*-2)**2.\nAnswer: 768*sqrt(7) + 2368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:22 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*x**3 - 4*x**2 + 3 - 12*x**3 - 3 wrt x.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -79 - (-7 - (3 - 10)). Is -79 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1139 divide 955388644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 22*s**2 + 2*s - 34. Let z be k(22). Suppose 0 = -z*a + 8*a. Solve -2*x - 2*j - 2 = a, -4*j = x + x + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u - 4*u**3 + 23 - 8*u**2 - 23.\nAnswer: -4*u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (84\/63)\/((-1)\/(-261))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1373*f**2*l**3 - 2*f - 3*l**3 + 226 wrt f.\nAnswer: -2746*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 510, -2, -4214, -5 in increasing order.\nAnswer: -4214, -5, -2, 510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 10:21 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 6:37 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 720\/32)*2\/12*-2\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 times 1675?\nAnswer: 318.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6568.539579 + -6568.6. Let l = w - -0.0611. What is l rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q + 6. Let w = -5 - 1. Let g be k(w). Suppose 8 + g = 4*f. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2773000 to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.047939l?\nAnswer: 6047.939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from fsttdf.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g**2 - 5*g**3 - 13*g + 3*g**3 + 25 - 31. Let v be d(-9). List the prime factors of (v\/(-15))\/((-2)\/5).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.57, -8.311 in descending order.\nAnswer: 0.57, -0.3, -8.311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 865475850 a multiple of 1005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysssyssssyssyssssss. Give prob of picking 1 s and 1 y.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t + 116 = 40. Put t, -3, -1, 109 in ascending order.\nAnswer: t, -3, -1, 109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 2*r - 2*r)*(-2*r + 0 + 0) + 824*r**2 - 1282*r**2 + 5486*r**2.\nAnswer: 5024*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*b = t - 247, 3*t + 2*b = -676. Let u = t - -913. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcp when three letters picked without replacement from cpttyef.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 3*n + 3. Let j(y) = 2*y**3 + y**2 + 4*y - 4. Let r(i) = -i**2 - 2*i - 1. Let q be r(-3). Determine q*x(c) - 3*j(c).\nAnswer: -2*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1147 = 4*c + 3125. Let i = c + 3155\/3. Let k = -18\/167 - -11410\/501. Calculate the common denominator of k and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - l + 23 = 0, 2*l + 64 = 5*a - 16. Suppose -a*v + 13*v = -5. Solve v*x - 12 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -d + 6 + 12, d + 5*t - 30 = 0. Let i = 23 - d. Solve -i*r = 3 + 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 247.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -9*r. Let j(b) = 3*b + 25. Suppose 10*z = 2*z - 72. Let k be j(z). Let x(g) = -g**2 + 2*g + 3. Let i be x(-4). Let n(c) = c. What is i*n(d) + k*l(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8*l - 1. Let c be f(-1). Let h be 4*(-222)\/12 - (-2 + -1). Let p = h + 71. Solve 5*z + 2*y - 11 = -p*y, 4*y - c = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475*v - 9847 - 7462 = 1508 + 3508 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3503 + 172?\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -718 - -808. Suppose 32*r + 13*r = k. Solve -2*g - 2*u = 0, -8 = 2*u + r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 31. Suppose -v*u - 3 = -291. What is the greatest common factor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 h, and 1 n when three letters picked without replacement from nwhnownwnwh?\nAnswer: 32\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**2 - 1213*v + 27832. Determine t(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/18)\/(56\/(-126))*(-20)\/(-15)*126?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -18)\/52*-28\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + a - 77 = 0. Suppose 0 = -a*d + 246 + 392. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**2 + 1214470*c + 23075291 = 0.\nAnswer: -19, 1214489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*-2*(-3)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130905647 is divided by 115.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 9 = -2*x + j, 4*x = j + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/17070792 and 31\/192?\nAnswer: 136566336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 11:34 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 12*o**2 - 38*o - 103. What is the remainder when 547 is divided by y(-14)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44849615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6*c = -4*r - 4978, 3730 = -3*r + 5*c. Let s = r - -2077. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9086?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 607969044232 and 121.\nAnswer: 607969044353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h - 1 + 1)*(-h + 5 - 5) + 6 - 6 + 5*h**2 - 5*h**2 + 3*h**2 + 4*h**2 to c*h + m + g*h**2 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14)*(-490)\/770.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-14)\/(-20)*20\/(300*-7).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 3783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 13d74?\nAnswer: 13d72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 - -2d3?\nAnswer: 2bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z. Let x(l) be the third derivative of -5*l**4\/24 + l**2 - 7. Determine m(x(o)).\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**4*j**2 + 5*b**3*j**3 + 154*b**3*j - 478*b**2*j**3 - 7*b**2*j**2 wrt b?\nAnswer: -96*b*j**2 + 30*j**3 + 924*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 3*w**4 - 3*w**4 + (-w**3 + w**3 + w**3)*(-7*w + 6*w + 7*w).\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -186*i**4 + 60*i**2*z + 339*i*z - i - z wrt i.\nAnswer: -2232*i**2 + 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -740.3 + 736.3. What is the nearest to -14 in -3\/7, 3\/7, -31, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -h + 29. Let u be -2 + (14\/3)\/(h - 1). Which is the second smallest value? (a) -2 (b) u (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -242.4877 - -1.1277. What is a rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7810 + 29537. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 2:05 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 33437*a**2 + 234020*a + 334300.\nAnswer: (a + 2)*(a + 5)*(a + 33430)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 2*z - 5, 25683*n - 25690*n - 35 = -4*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00373782 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203342*b - 6027*b + 495956*b + 1 + 0.\nAnswer: 693271*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*u + 4. Let p be u\/(-5) - 82\/(-5). Suppose -4*n + 3*v + p = 0, 3*n - 2*n - 4 = 4*v. What is n rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 220653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azuzzazzuahzu. Give prob of picking 1 u and 1 z.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2705?\nAnswer: 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 > 274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**8\/120 + o**5\/60 - 8*o**3\/3 + 8. Let d(z) be the third derivative of q(z). Find the second derivative of d(r) wrt r.\nAnswer: 168*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g**2 - 8*g. Let n(p) = -5*p**2 - 10*p. Let c(w) = -5*d(w) + 4*n(w). Let r(v) = -v**2 - 15. What is r(c(j))?\nAnswer: -100*j**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0*j**2 - j - 6*j**3 - 4 + 3*j**3 - 2*j**2 in the form t + p*j + c*j**3 + l*j**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12211 (base 3) to base 13.\nAnswer: c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 1)*(5*y**2 - 5*y + 5*y) + 7*y**2 - y**2 - 2*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = q + 5*s, -7*s = -5*q - 4*s + 14. Solve -3*y - 4 = -0*y - q*g, y + 4*g - 20 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.15?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 537719893 * 0.1.\nAnswer: 53771989.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -124*t - 49 + 2*t**2 - 149 + 121*t as v*t + h*t**2 + m and give m.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/5951 - -5010714\/41657. Let x = -144 - -264. Let b = x - w. Is b less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2151659293?\nAnswer: 7, 307379899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 2\/3 (c) 1 (d) -351 (e) 61\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 482 (base 14) to base 12\nAnswer: 62a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 343.5613 years in months?\nAnswer: 4122.7356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 e when four letters picked without replacement from {o: 3, e: 12}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11423\/490 - 618\/49. Find the common denominator of h and 43.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129 divided by -7\nAnswer: 129\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 - 100. Let d = -13 + x. Let b = 0.1 + 0. What is the closest to d in b, 4\/5, 0.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w. Let d(r) = -8*r. Let f(n) = n. Let g(u) = -d(u) - 6*f(u). Calculate x(g(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 3:04 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 65435377 + 68.05?\nAnswer: 65435445.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 729*m - 4. Let k(b) = 737*b - 3. Give 3*f(o) - 2*k(o).\nAnswer: 713*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4780727243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/171)\/((-4)\/12). Let v be (-5)\/(-15) - 4\/(-6). Let z(y) = y**3 - 3*y**2 + 1. Let w be z(v). Is h <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481*y = -563*y + 711350. List the prime factors of y.\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8\/7)\/((h\/h**(-2\/15))\/h)*((h*h*h**(-3\/5))\/h)\/h*h\/(h*h\/(h**27\/h)*h))**(-9\/4) assuming h is positive.\nAnswer: h**(-6969\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159 + -285. Let y = t - -213. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.17 + 2.57. Let m = 2.72 - g. Let w = 0.02 - m. Which is the smallest value? (a) -4\/9 (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 6:50 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*d = -49*d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 95*u + 327. Determine g(-8).\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 4*f + 1\/10*f**5 + 10 + 3*f**3 - 7\/8*f**4 - 5*f**2. Let j(d) = 0. What is d?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001191124 rounded to five dps?\nAnswer: -0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - (-282)\/40*-235. Let q = b + 3478. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -1\/24*b**4 + 0*b**3 - 2*b**2 + 0*b + 0. Let r(g) = g. Let t(a) = 14*a. Let q(j) = -12*r(j) + t(j). Give q(p(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7776453?\nAnswer: 3, 19, 136429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 + -2.6. Let o = 5.3 + m. Which is the biggest value? (a) 1\/5 (b) 3\/5 (c) o (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-15)*t)\/(t*(t\/(t**(10\/11)\/t*t)*t)\/t*t))\/(((t**(-1\/4)*t)\/t)\/t*(t*t\/t**(-3\/2))\/t) assuming t is positive.\nAnswer: t**(601\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2572 is divided by 2546?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547102 is divided by 36466?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13660 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/4 and -15\/1322?\nAnswer: 2644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15, 1\/136 in descending order.\nAnswer: 15, 3, 1\/136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**23*t))\/(t\/t**7) assuming t is positive.\nAnswer: t**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -7222.\nAnswer: 11\/3611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-19 + 12) - -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/39 + 2\/13. Let v be (-20)\/(-3) - (-4)\/4*-6. Determine c, given that 0 - c**3 + v*c + w*c**2 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.7346 + -0.1134. Let j = n + -0.152. Which is the fourth smallest value? (a) 5 (b) j (c) -7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.23 + -14.77. Let d = s + 3. Let u = d + 7. Which is the third smallest value? (a) 0.1 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26818.17 - -26701. Let q = 36 + -154. Let b = q - x. Round b to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19880407 to the nearest integer?\nAnswer: 4459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/112*(1470\/(-20))\/(-7)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -802047 or -802009?\nAnswer: -802047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24290, 48249, 72210, 96173, 120138?\nAnswer: 144105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/70*4*5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539881027 + 2?\nAnswer: 539881029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 + -206. Let k = -34 - u. Let z = k - 69.9999937. Round z to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (524\/6)\/((-14)\/(-21)). Let c = k - 32. Suppose -102*z = -c*z - 7830. Round z to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 409 + -405. Let q = -50\/13 - -215\/39. Which is the closest to d? (a) 1 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-21) - (-3 + 66\/18).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/6 + 1\/6. Let z(m) be the third derivative of 0 + 0*m**5 + 1\/480*m**6 + 0*m + m**g + 0*m**4 + 0*m**3. Determine q, given that z(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156407?\nAnswer: 229, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*x - 42 = 0, -3*q + 0*q - 5*x + 154 = 0. Let h = 59 - q. Suppose -80 - 129 = -h*l. Calculate the remainder when 30 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 10 + 15. Suppose -j - 5*h + 21 = 0, j - 21 = t*j - h. What is the closest to 1 in 1\/3, j, -1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - f**2 + f**2 + 3 - 3 + (-2 + 2 - 2)*(281*f**2 - 202*f**2 + 435*f**2) to the form y*f + c + o*f**2 and give o.\nAnswer: -1028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562.3kg in grams?\nAnswer: 1562300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1 - 5 - 7*w + 0*w + 1 - 11*w**2. Let n(c) = 23*c**2 + 14*c + 5. Let b(g) = -3*n(g) - 5*o(g). What is the second derivative of b(a) wrt a?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(117)*-6 + 5*(sqrt(117) - 1*sqrt(117) - sqrt(117)))\/(-1*sqrt(324)*-2).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -326. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-18)\/(-42) - (-17688)\/84 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*b - 879*b + 99*b + 84*b.\nAnswer: -857*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 0 (c) 0.5 (d) 0.1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*l - 75*l - 25 = 0. Let f be (0\/3 + 12)*l. What is the highest common divisor of 40 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 + -70. Suppose 3*f - q - 31 = 0. Suppose 0 = -0*p + p - f. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/11 (b) -2\/11 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 613301161*j**6 + 2*j**2 - 2012657*j wrt j?\nAnswer: 73596139320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/2)\/(n**(-5)\/n*n)*(n\/((n*(n\/n**(-1)*n)\/n)\/n*n*n))**(-12\/11) assuming n is positive.\nAnswer: n**(193\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 5*t - 5. Suppose 5*v + 2*h = 0, v + 4*h + 17 + 1 = 0. Suppose x + 84 = -0*u - 3*u, 0 = -5*u - v*x - 140. Let o = 32 + u. Determine z(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(209)\/(3*sqrt(11)) - (-4 + -1*sqrt(684))**2.\nAnswer: -704 - 143*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)\/d**(-2\/3))**(2\/23) assuming d is positive.\nAnswer: d**(7\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -2)*(-4 + 1 + 2). Solve f = -3*y - 5 + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -109 or 14589?\nAnswer: 14589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -16. Let o be (90\/(-27))\/(1\/6). Let j = o + 25. Solve 0 = -j*d + s*d + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -152*h + 9. Let u(q) = -2*q. Let y(g) = l(g) + 6*u(g). Differentiate y(p) wrt p.\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/7324 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 3*h + 330, 56*h - 10 = 51*h. What is the lowest common multiple of q and 54?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13071000 rounded to the nearest 100000?\nAnswer: -13100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 4038\/7, -1\/3, -1\/5, 3\/4 in ascending order.\nAnswer: -1\/3, -1\/5, 3\/4, 2, 5, 4038\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, p: 2}. What is prob of sequence epep?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412381.\nAnswer: 151, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 - 3*r + 8. Give s(4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**4\/24 - 2*y**3\/3 + y**2. Suppose 3*o - 26 = 55. Let k = o + -22. Give j(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 5\/153803193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t = -5*s + 19, -3*s = -5*t + 9. Let u(n) = -7*n + 0*n + n**s - 10 + n - 2*n. Determine u(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2291 + -2294. Let n = -10.86 - 0.14. Which is the third biggest value? (a) k (b) n (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t + 8. Suppose -113 = -3*g - t*n + 9, 3*g = -5*n + 127. Let j = -44 + g. Put 0, j, 3 in ascending order.\nAnswer: j, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - z - 7 = 0, -3*z + 2*z + 35 = 5*u. Suppose u*t - 12 = 5*t. What is the greatest common factor of 18 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 11*n**2 - 8*n + 6. Let w be k(10). Suppose -3*m + 5*m = w. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) + (-26)\/3. Let v = 1 - s. Is v smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s = -171. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -281.93 - -282. Let k = q - 1.07. Which is the nearest to -13? (a) 1 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112885896.\nAnswer: 2, 3, 4703579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*f - 17387 + 17386 + 136*f)*(4 - 3 + 0)*(5*f**2 + 3*f**2 - 6*f**2 + f - f - f**2 + (-1 + 2 + 1)*(0 + 0 - 2*f**2))*(f - 3*f + 4*f).\nAnswer: -942*f**4 + 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*c + 36*c + 54*c**2 + 338*c**2 - 162 + 169 in the form b + o*c + u*c**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 0.2, -3\/7 in decreasing order.\nAnswer: 1, 0.2, -3\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from mmmmbmmbmmbmmm?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(-2\/19)*y)\/y))\/(y**(2\/9)\/y)*(y\/((y**(-8\/5)*y)\/y*y))**(-1\/8) assuming y is positive.\nAnswer: y**(1439\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3833 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6266\/22 - 4\/(-22). Let t = j - 113. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 397 = -2269. Find the third derivative of -468 - 5*d**6 + i + 30*d**2 wrt d.\nAnswer: -600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*g = -150*g + 4500. Let i be (12\/44 - g\/66) + 2. Factor 0 - 6\/11*f**3 - i*f**2 - 4\/11*f.\nAnswer: -2*f*(f + 1)*(3*f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 9)*17\/68. Suppose 0 = 5*y - t*y - 15. Suppose -y*k = -2*s + 6*s - 112, -2*s + 4*k + 30 = 0. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 6:36 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134 - 129. Solve -s + 7*t - 2*t - 17 = 0, o*t = -s + 23 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35350, -282771, -954334, -2262109, -4418166, -7634575, -12123406?\n\"Answer: -35345*a**3 - a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + 0 + (-3 - -2). Suppose 5*q + 0*q = -2*l + 52, -97 = -5*l + r*q. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -730084 by 6.\nAnswer: -365042\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13661862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -44*d**2 + 1127*d - 1152. Give a(1).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1578.868 to zero dps.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = -3*s, 4*l - 5*s + 7*s = -18. Let m(n) = -n**2 + n. Let w(u) = -4*u**2 + 4*u. Determine l*m(y) + 2*w(y).\nAnswer: -2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, q: 12}. What is prob of picking 1 d and 2 q?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 17*v + 18. Let p be f(16). Solve 3*i = 6*i - 3*s + 6, -3*i = -p*s + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2276\/2845)\/((-16)\/(-10))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-351)\/(-45))\/(1\/10) is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.509 - -1.309. Which is the second biggest value? (a) -4 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -12. Let y(h) = -2*h + 4. What is the tens digit of y(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3870 divided by 90?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -401?\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18))**2 + 4 + -2*sqrt(8)\/sqrt(4).\nAnswer: -2*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22*60\/(-880))\/((-18)\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19124 + -19108. Suppose -r + 95 = 4*r. Solve -5*y - r = -2*k, 0*y = 2*y + 2*k + t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262578 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 152, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/33*3\/(-81))\/((-3852)\/11556).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*g - 58 = -3*d + 81*g, -4*g + 13 = 3*d. Let n(u) = 2*u**3 + u**2 - 7*u + 5. Let m be n(4). What is the greatest common divisor of m and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 6 - 48)*(3 - 3 - 2*b)*(-179*b - 2369 + 2369).\nAnswer: -21838*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4668 + 1213. List the prime factors of z.\nAnswer: 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 5*p**2 + 7*p + 4. Let o be s(-4). Let z be (4\/(-3))\/(o\/12). Differentiate 3 - 4*v**z + 4*v**2 + v**3 - 4*v**3 with respect to v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-16)\/(i*i\/i**20) assuming i is positive.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 135479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaza when four letters picked without replacement from exppappppaapepzee.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 + -88. Let j = 36 - r. Which is bigger: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 0*h - 5. Suppose d = 12 - h. Calculate the smallest common multiple of d and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*v = 3*v + 19, 4*v = s - 7. Sort 0, s, 1 in descending order.\nAnswer: 1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*a**2 - 12 - 6961*a**2 + 12 as o*a**2 + f*a + u and give o.\nAnswer: -6850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.32 + 0.3. Suppose 2*x = v + 58, 4*v + 3*x + 0*x = -276. Let b = v - -464\/7. What is the third smallest value in b, s, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110*-0.3\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083866671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.026749 to four dps.\nAnswer: 0.0267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/sqrt(112))\/sqrt(3) + -3.\nAnswer: -3 + sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.3, -0.04, -0.1, 0, -3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*102\/17.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**2 + 317*d - 3056. Determine c(10).\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1383 rounded to the nearest 10?\nAnswer: -1380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-50)\/3)\/(34\/51). Let w(t) = t**3 + 26*t**2 + 22*t - 7. Let y be w(j). Calculate the highest common divisor of y and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12158769 a multiple of 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(1\/1)*1. Suppose 13 = 5*u - 2*p, u = -2*p - p - 11. Let f = u + v. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -293, 6 in ascending order.\nAnswer: -293, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2066 - 0.206604822. What is c rounded to seven decimal places?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5399599391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4204987?\nAnswer: 67, 62761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/42 and 127\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.999999 + -28. Round s to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + -59. Suppose 3*v = -2*v + i. Let f = -825 + 834. Solve 0 = v*k - f - 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 2. Let j be g(3). Suppose q - 3 = 1. Solve 3*r - j*r - 5*m = -25, -q*m = -r - 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {e: 5, m: 1, x: 3, t: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32 and 0.047.\nAnswer: 1.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44.063 - -0.063. Let y = -36 - c. Let d = 2 + y. Which is greater: -3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 419084 divided by 4.\nAnswer: 104771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 300?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1, -1228, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k + 2*k**2 - 15*k - 6*k**2 to l*k**2 + n + u*k and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 24. Let r be t(-16). Suppose -5*m = 2*p - 18, 3*m + 2 = 6*m - p. What is the derivative of 5 - 4 + c**m - r wrt c?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -30026?\nAnswer: 10\/15013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 11 = -a, 3*w - 1 - 16 = -4*a. Is w not equal to 79\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*g**4*k + g**4 + 82*g**3*k**2 - 2*g**2*k - 3*g*k + 106*k**2 wrt g.\nAnswer: -120*g*k + 24*g + 492*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/8, -4, -2\/7, 0.9, -2 in decreasing order.\nAnswer: 0.9, 7\/8, -2\/7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1 + 141*f**2 - 140*f**2 - 2*f + 0. Determine i(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q**2 + 3*q - 7*q**2 + 18*q**2 + q - q.\nAnswer: -9*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3222 by 6.\nAnswer: -537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7098, -14148, -21198?\n\"Answer: -7050*x - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1411 + -1776. Sort x, 3\/5, -0.1 in decreasing order.\nAnswer: 3\/5, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -462\/5 (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**4\/24 + t**3\/6 - 16*t**2. Let x be y(0). Let b be (-4)\/(-6) - ((-56)\/(-12) - x). Let l(d) = -d - 4. Determine l(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 2*f - 2. Let p(j) = 163*j**4 + 182*j**2 + 4*j - 4. Let x(l) = -p(l) + 2*y(l). Find the third derivative of x(m) wrt m.\nAnswer: -3912*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - (2 + -9)) + -1. Suppose -3*p + 10 = z*p. Suppose 5*o = 2*a - p, -2*o = -3*a + o + 3. Solve 0 = 2*c + a - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 4. Suppose b*j - 3*j = 8. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d + 6. Let t = -11 + 0. Let x(y) = -14*y + 17. Let o(m) = t*j(m) + 4*x(m). Let r be o(1). Calculate the greatest common factor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21246 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3264*m - 1510. Is h(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 u when four letters picked without replacement from unnnnnnuuunnunnuunn.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (29 - 53) - (-31 - -4).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170068275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 2 - (4 + 0 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and -231625.7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2785*z - 2558. Calculate u(0).\nAnswer: -2558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3221063584 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (131 - -2)\/((-9234)\/(-1458)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1688 + 1665 + 0 + 0 + 6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/7 + 55\/56. Suppose j + 2 = 2*j. Let h = j + -1. Is h at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24919518 + 9?\nAnswer: 24919527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 688 + -667. Suppose -12*m = p*m - 35013. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 7:34 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - g**3 + 3*g**3)*(-28 - g + 34 - 7 + 33*g**2).\nAnswer: 33*g**5 - g**4 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6*-1186\nAnswer: 7116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/9 - 32\/(-12). Suppose 5*y + 18 = -n*h, 5*h + 3*y + 16 = 5*y. Let z(u) = 4*u**3 + 72*u**2 + 5. Let j be z(-18). Sort h, -2, -22, j.\nAnswer: -22, h, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 207?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -574636, 8, 2\/21 in ascending order.\nAnswer: -574636, 2\/21, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llll. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 divided by 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5, 0*o = 4*c + o + 139. Let b = c - -283. Is b a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 5*d + 15. Let w(g) = -4*g + 1 + d*g**2 + 0 + 0*g**2 - g**3 + g**2. Calculate w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10420 in -5, -623, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - 1) + 9 + (-1 - 0). What is the hundreds digit of 799\/k - 16\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220509, -220573, -220637, -220701, -220765?\nAnswer: -220829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2385 + 1090. Let x = i + 14119\/11. Let c = -598\/33 - x. Calculate the common denominator of -1\/24 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p**2 - 15*p + 17. Let z be o(-8). Let t = 378 + z. Calculate the highest common divisor of 21 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 5*o**2 + 5*o + 8. Let f be w(6). Let r(i) = -2*i + 3*i + f - 6. What is r(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132222312 (base 4) to base 7.\nAnswer: -1032150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3990979.1 rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -26. Suppose 1376*l + 7 = 1375*l. Let h be 4\/((-16)\/z)*l*2. Calculate the greatest common divisor of h and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25320253217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.8 + -39. Let g = i - -3. Let m = -15 + 76\/5. Which is the second smallest value? (a) -0.1 (b) g (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 5*a - 6, -t - 2*a = 4 - 1. Calculate the common denominator of 3 + (-52)\/18 - t and 43\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 5 = 2*n. Suppose 0 = 3*g + 13*g - 48. Is g < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6662 - 14?\nAnswer: 6645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/(4\/(-312)). Let l = i + 71. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1622*j**3 + 134*j**2 + 275*j - 2. Does 20 divide o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1856.55496 to the nearest ten.\nAnswer: -1860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1951316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -42720000 rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/459900 and 2\/45.\nAnswer: 459900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d + 24. Let m(u) = 10*u - 9 + 1 - u**2 + 30 - d*u. Calculate the least common multiple of 10 and m(-15).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/21 - (-1 + -1). Suppose -4*k = k. Let l be 2*6\/8 - 0. Which is the second biggest value? (a) l (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -5, -2\/641, -6, 0.8?\nAnswer: -2\/641","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74404.183097 + -74404. Let t = 0.184 - v. Round t to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2. Let p(h) = -14*h**3 + 14*h**2 + 11*h + 17. Let m(u) = 5*u**3 - 5*u**2 - 4*u - 6. Let s(n) = 11*m(n) + 4*p(n). Give -l(r) + s(r).\nAnswer: -r**3 + 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50962557?\nAnswer: 3, 89, 190871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 13*c**2 - 21*c - 8. Give u(-14).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*c**2 + 89*c - 29*c**2 - 33*c**2 to r*c + u + t*c**2 and give r.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 0 + -1 + 19. Suppose -2*k + 5*b + 25 = 0, 2*k + 2*k + 15 = -3*b. Suppose 5*z = -k*z + 15. Solve 16 = -0*a - 5*a + z*p, -4*a + 5*p - g = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12927, 12940, 12957, 12978, 13003?\nAnswer: 13032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -m - 2*m - 3, y = -5*m - 21. Let u(z) = y + 0*z + 1 - 2*z. Determine u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -718471*j*u**4 - 4*j*u**3 - 5642*j*u**2 - 176*j wrt u.\nAnswer: -17243304*j*u - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2201 + -2170. Calculate the remainder when v is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**4\/8 + 2*z**2 + 54. Let x(h) = -h**2 + 5*h + 5. Let a be x(5). Let k(w) = 4*w - a*w + 3*w. Give k(o(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 3159*d**2 + 13*d - 10*d.\nAnswer: -3159*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21403 (base 5) to base 9.\nAnswer: -2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59503\/308 + -1342\/7. Find the common denominator of m and (-3282)\/360 + 24\/(-30).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -15 - (-419 - -439).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**2 - 15*c**2 - 7*c**2.\nAnswer: -40*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2335 - -2331. Let m(x) = -3*x**3 + 3*x**2 + 4*x + 4. Let l(r) = r**2 + r + 1. Give j*l(h) + m(h).\nAnswer: -3*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2 + 2)*(59 - 120 + 29)*(19*v + 646 - 646).\nAnswer: 608*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + 16 + 3 + (338 - 195)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 26432\/9 (b) -4\/7 (c) -0.01 (d) -2 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -4 (b) 0.4 (c) -159267 (d) 4\/5 (e) -2 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 56+-855467\nAnswer: -855411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -268679 - -740460. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**3\/3 + 37190*o**2 - 223160*o\/3 = 0.\nAnswer: -22316, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**4\/4 + 2*l**3\/3 - l**2\/2 - 6. Let o be d(1). Suppose -o*r - 3*r = 2*v + 21, -5*r = -3*v + 31. Solve 1 = -v*b - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 126*s - 1365. Determine j(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-59)\/(-531))\/(0 - 1\/(-9)). Solve 0*y = y + i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-1365)\/26)*(-25)\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/17596573?\nAnswer: 1\/17596573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-10)*(-17 - (-10595)\/585). Let p = -329\/6 + 55. What is the fourth biggest value in -4, a, -2, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2693 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72.78 - 72.28. Which is the nearest to -14? (a) g (b) -4\/3 (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4, 2*z - 4 = -5*g + 14. What is the second derivative of v + 0*v - 26*v**z - 11 - 48*v**4 - 5 wrt v?\nAnswer: -888*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 183*t - 1029*t + 785*t.\nAnswer: -61*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16807 + 681*y - 16807 + 1264*y)*(-5*y - 16*y + 6*y).\nAnswer: -29175*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c + 24*c**2 + 23 + 27*c**2 + 15*c**2 + c - 84*c**2 to l + x*c**2 + v*c and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from {v: 2, p: 6, r: 3, c: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1134400?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2\/5, -671?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 596?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126 - -66. Let k be n\/(-1)*2\/6. What are the prime factors of k\/3*18\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 43. Let o = l + 10. Solve o*v - 6 + 3 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 55, -4, -3, 1538 in descending order.\nAnswer: 1538, 55, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from mxemx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -35.885 and 0.797.\nAnswer: -35.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6575 by -25.\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + 0)**2*1 + 1.\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163965.\nAnswer: 3, 5, 17, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -166*n**2 - 63 - 160*n**2 + 315*n**2 as o*n + v*n**2 + u and give u.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 332 + -332. Solve 5*j - 5*o + 15 = a, -j + 4*o + 23 = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 4*h + 238781 - 238637, -h = 235*y - 8226 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*t - 415, -255 = -4*t + 4*p + 45. What are the prime factors of t?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -6097 (b) 0.04 (c) -0.2 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1\/4 (b) 3\/5 (c) 11599\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -132, -516, -1056, -1668, -2268, -2772?\n\"Answer: 14*u**3 - 162*u**2 + 4*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790*t - 16 + 45576 = -349*t for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*w - 892 = -3492 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0246 * -3\nAnswer: 0.0738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -610 - -615. Let s(h) be the first derivative of -1\/5*h**t - h - 2*h**2 - h**4 - 5 - 2*h**3. Factor s(m).\nAnswer: -(m + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81782 - -81785. Factor 0 + 0*z + 1\/8*z**4 + 3\/2*z**2 - z**a.\nAnswer: z**2*(z - 6)*(z - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2*u - 5*f - 27 = 0, -f - 3 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 4\/21*p**7 + 0*p**6 + 0 + 0*p**5 + 0*p**4 - 4\/3*p**3 - 8*p + 0*p**2. What is the second derivative of u(w) wrt w?\nAnswer: 160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -70*u**2 - 537*u - 3714. Determine c(-7).\nAnswer: -3385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121 + -29. Suppose c*x - 93*x + 245 = 0. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -817 + 2222. Suppose -5*g = -410 - l. Suppose 6*h - g = 1491. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85*k**3 - 347435*k + 23324883 wrt k.\nAnswer: 255*k**2 - 347435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1987 (base 12) to base 3.\nAnswer: 11021211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -816 - 40 - 2672 - 120 = -48*x for x.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from oossoorrssssoss?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -27*o + o + 63. Solve o*w - 36 = -3*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89148087*s**4 - 45671008*s**2?\nAnswer: 2139554088*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -6572, -256 in descending order.\nAnswer: -9, -256, -6572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 4:47 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1. Let n(i) = 6*i + 3. Let c(t) = 3*d(t) + n(t). Let j(g) = -7*g - 8*g + 15*g - 4*g. Determine c(j(y)).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/5082 and 41\/7511.\nAnswer: 5452986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4178?\nAnswer: 2, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1. Let p(w) = -5*w - 3. Let v(z) = -2*z. Let f(t) = -p(t) + 2*v(t). What is 6*d(r) + f(r)?\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278, -1369, -3274, -5993?\nAnswer: -9526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(190)*-3)\/(sqrt(90)*-4).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 256 = 4*r + 7*o, 2*r - 4*o - 128 = 0. Suppose 0 = -3*t, -5*g - t + 171 + r = 0. Calculate the greatest common factor of 47 and g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Suppose q = 5*u - 0*u. Let o(x) = -x**2 - x + 2. Calculate the remainder when 3 is divided by o(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 + 1 - 1 + 2*g**5 - 4*g**5 + g**5 + (-2*g**3 - 2*g**3 + 2*g**3)*(3*g - 3*g + g**2) + (-74*g**2 - 57 + 57)*(2*g**3 - 2 + 2).\nAnswer: -149*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 + 25697*g**3 + 3 + 425*g - 25967*g**3 wrt g.\nAnswer: -1620*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86670 - 99896 = 1932*w - 45530 for w.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29718210, 29718212, 29718214, 29718216, 29718218, 29718220?\nAnswer: 29718222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1010)\/(-3*8\/12). Let l = 401 - b. Which is greater: -101 or l?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 275*g**3\/3 + 143*g**2\/2 - 32*g. Let m(l) = -23*l - 6. Let h(y) = 143*m(y) + 6*o(y). Let f(t) = -3*t. Calculate h(f(a)).\nAnswer: -33*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 30*q + 302. Let u(p) = 7*p + 75. Give -2*l(t) + 9*u(t).\nAnswer: 3*t + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 1283*l**3\/3 + l**2 + l - 2. Let f be p(-1). Suppose 3*a - f = a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270 (base 13) in base 7?\nAnswer: 20030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 6. Let l be (2 + 2)*3\/3. Suppose 4*p + l*y - 188 = 0, -223 = p - 6*p - y. Calculate the remainder when p is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 5 (b) 0 (c) -8 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4590)\/(-15)*(-169)\/1014.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 5 - 5)*(178 + 81 + 45).\nAnswer: 304*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.835 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 5*s**2 + 4*s - 5. Calculate k(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006413 to seven dps.\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 1110110010000?\nAnswer: -1110110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 2)\/(-8) - 23\/2. Let g = -7 - t. Suppose j - y - 120 = -17, -g*j + 508 = 2*y. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = 5*h + 7, -4*l = h - 1. Put -1, l, -241 in descending order.\nAnswer: l, -1, -241","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b - 286 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2 + 18*t - 5. Let k be j(-5). Let n = k - -140. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -539 - -546 - 29\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15293*g - 32*g**2 - 7649*g - 7644*g.\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**4\/4 - 3*v**3\/2 + 13*v - 13. Let i(o) be the first derivative of w(o). What is the second derivative of i(x) wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*x + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -121 (c) -0.07 (d) -0.72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/195 and 8\/(-24)*(2 - (-1482)\/60).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 13) to base 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41352676627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -7 + 27 + -1 + -12 is divided by -4*(1 - 2) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2178099 is divided by 956.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r. Let b(n) = 496*n**2 - 276*n - 6. Let f(x) = 20335*x**2 - 11270*x - 245. Let w(t) = -245*b(t) + 6*f(t). Give w(y(s)).\nAnswer: 4410*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -207*c + 3938. Let u be o(19). Let p(s) = 5*s + 6. Let a(t) = -4*t - 7. Give u*p(b) + 4*a(b).\nAnswer: 9*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1100010?\nAnswer: -1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-4)\/(-16) + 1 - -4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 976490626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -4, -45, 0.4, 4, -3\/13, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3835622 rounded to 4 dps?\nAnswer: 0.3836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5096258, 10192510, 15288762?\nAnswer: 20385014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295831?\nAnswer: 295831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i = -10*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*v + v - 219403, -v = -i + 109694. What is the second derivative of 23*o**4 + i - 109697 - 14*o + o**2 wrt o?\nAnswer: 276*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x**2 - 2*x + 9. Let g(u) = 6*u**2 - 3*u + 8. Let l(j) = 6*g(j) - 5*r(j). Give l(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8471582 (base 9) in base 2?\nAnswer: 10001010011001001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 34.18. What is m rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 + -14. Suppose -d - t = -3*d. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -700 + 828.6. Let m = -148 + s. What is m rounded to 0 dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 417*o - 235*o - 204*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -860\/9 (b) 115 (c) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1599*m**2 - 759*m + 2.\nAnswer: 3198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5246429 rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3ac (base 16) to base 13.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjj when three letters picked without replacement from tqjj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 5 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*((-3)\/(-1))\/1\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + 3*sqrt(11) + 0 + (1 + sqrt(11) + -4)*4))**2.\nAnswer: -1386*sqrt(11) + 5940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*u**5 + (2*u - 1 + 1)*(0*u**4 - 5*u**4 + 3*u**4) - 6*u**5 + 5*u**5 - 3*u**5 + 0*u**5 + u**5 + 2*u**3 - 4*u**3.\nAnswer: -9*u**5 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-1)*(-77)\/(-110)*(-6)\/(-7)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) -89 (c) -0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 16 = 3*y. What is the first derivative of 5*c**y - c**2 - 14 + 53*c**3 - 4*c**2 wrt c?\nAnswer: 159*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1350203 is divided by 768?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -11. Solve 0 = p + 3*p - 5*w + 24, -p + v*w = 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 75*p**2 - 297*p - 45. What is y(7)?\nAnswer: 1551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10, 17, 36, 73, 134?\n\"Answer: y**3 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38453, 76724, 114995?\n\"Answer: 38271*a + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.92 - -0.08. Let s = g + -7. Let q = -20 - -23. Which is the smallest value? (a) 4\/7 (b) s (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164105 + 118898 = -7452*r + 210136 + 236489 for r.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15531207 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/27 + (-17464)\/(-181818) + (-2)\/(-7)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 163 + 3a?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 86848703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**5\/8 + 303*v**4 + 143067*v**3\/4 + 70626*v**2 + 281295*v\/8 = 0. Calculate v.\nAnswer: -665, -141, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) 45 (c) -3747\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266 = 18*y + 20 + 74 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 17*n**2 - 6195*n + 2536. Give f(364).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2 + 2*t**2 - 2*t**3 + 22*t**3 + 2*t**3 + 2*t. Let h(o) = -45*o**3 - 5*o**2 - 5*o - 5. Calculate 2*h(f) + 5*p(f).\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12163 or 0?\nAnswer: 12163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108262?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, 327, 1202, 2907, 5718, 9911, 15762?\n\"Answer: 46*k**3 + k**2 - 4*k - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2981249 is divided by 8717?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262429168, 524858336, 787287504, 1049716672, 1312145840, 1574575008?\nAnswer: 1837004176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1878527?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 141 + -143. What is the closest to 6 in u, -3\/7, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 36 = -20*y. Solve -5*t - 25 = i, -y*i - t + 5 = -2*t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s + 3 = -30*s, -30*s + 27*s - 24 = 7*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-87)\/(-7) + -13)*2?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56 - -64) + (-3 - 1) - 16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 9*o**2 + 188*o - 2 - 185*o + 24*o**3 - 6*o**2 - 7*o**2 in the form n*o**2 + l*o**3 + j + w*o and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-1\/3))\/k)**(-1\/13))**46 assuming k is positive.\nAnswer: k**(46\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 bigger than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1859.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)\/(sqrt(1331) - -1*sqrt(1331)))\/(sqrt(121)\/((2*sqrt(121))\/sqrt(11))).\nAnswer: sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 2)\/((-44)\/(-55)). Let t(z) be the first derivative of -h*z**2 + 8 + 0*z. Let l(m) = m**2. Calculate t(l(y)).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6*120\/30)\/((-12)\/15)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2583600 and 11\/56.\nAnswer: 18085200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7068 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*k = 47*k + 2475. Calculate the highest common factor of k and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 2*u + 2. Let o(x) = 3*x**2 + 3*x - 7. Let p(l) = 6*l**2 + 5*l - 15. Let d(s) = 5*o(s) - 2*p(s). What is 4*d(a) + 10*j(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**3 + 2*z. Let v be (-22)\/(-8) + -3 + 292\/16. Let w(a) = -19*a**3 - 9*a. Determine v*m(t) + 4*w(t).\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64895603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6524 is divided by 3172.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/12*(-50)\/(-225)*(-72)\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 6 = 22 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8276412 decades to years.\nAnswer: 8.276412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 924705020771+-5\nAnswer: 924705020766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -265*b + 275*b - 1350. Calculate the smallest common multiple of b and (-6 + ((-116)\/(-12) - 5))*-90.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 17, g: 2}. What is prob of sequence gugu?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.77 - 2.23. Let r = j + 2.7. What is the third biggest value in r, -2\/87, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from axaxxxqqtxaxxxtxxqx?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -223341 (base 5) to base 15\nAnswer: -2566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/5*5)\/((-1)\/(-1422)). Suppose -3*n + 4*v + 1413 + z = 0, -2835 = -3*n - v. Round n to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 197?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23335585*u**5 - 478598*u.\nAnswer: -466711700*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**6\/12 + k**4\/4 - 22*k**2. What is the second derivative of p(u) wrt u?\nAnswer: 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 188814394, 377628787, 566443180, 755257573?\n\"Answer: 188814393*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-6)*(-8)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 - -79. What is the second biggest value in n, -5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r + 1. Let w be n(2). Let c = w - 1. Solve 2*h = -c - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 2*i - 45, 5*a - i = 216. What are the prime factors of a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1050))\/((sqrt(36)*-2)\/sqrt(6)) + (sqrt(1008) + -4 + 2*sqrt(63))**2 + -3.\nAnswer: -303*sqrt(7)\/2 + 2281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-17)\/952*-16)\/((-2)\/(-12670)). Calculate the greatest common divisor of 50 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3762.33089 to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.578 + -2.578. What is the closest to -4\/3 in s, -1\/2, -4, 3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1027647 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -43*s**8\/112 - s**4\/12 - 49*s**3\/3 - 2*s**2 + 159*s. What is the second derivative of f(h) wrt h?\nAnswer: -2580*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 35. Suppose -31*q = -o*q + 3. Let r be 3\/24*2*(0 - q). Which is the second biggest value? (a) 0.07 (b) -1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -38 + (17 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 take away -12341234597125?\nAnswer: 12341234597127.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2031120 + -13?\nAnswer: 2031101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(1088)) + sqrt(1088) + (sqrt(1088) + 0 - sqrt(1088)) + 2 - (-1*sqrt(1088)*-5 + -3))**2*-5.\nAnswer: -266685 + 2800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -325100863.\nAnswer: -325100863.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 8:14 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558822 is divided by 907?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 582537167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1460 is divided by 371.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c**2. Let s(o) = -5249132*o. Calculate p(s(m)).\nAnswer: -275533867534240*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -992*g + 133*g + 46656 = 437*g for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2 - 63*y - 1193. Calculate g(-17).\nAnswer: 1612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28413, 28417, 28423, 28431, 28441, 28453, 28467?\n\"Answer: c**2 + c + 28411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/8*(-12)\/18.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 - n**3 + 2*n**3 + (2*n - 2*n + n**2)*(4 - n - 4) + n**3 - 56*n**3 - 48*n**3 in the form o*n + b*n**3 + z + f*n**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 383.4 rounded to the nearest ten?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*-5*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + 3.8. Let d = 0.58 + -0.18. Let t = d - -0.1. Which is the third smallest value? (a) t (b) -0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-1 + -17 - -13)) + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -381 - -387. Which is smaller: t or 19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 3*q - 3. Let z = 861 - 864. Let n(f) = -1 - 3*f**2 - 3*f**2 + 5*f**2 + 2*f - 1. Determine z*n(b) + 2*u(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.041 - 0.941. What is the third smallest value in 5, 0, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = -2*n. Let v = -470 + 476. Differentiate 12 + v*p**2 - 4*p**2 + 11*p**2 - 4*p**n wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 6:39 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*p + 13, -4*g - 3*p + 7*p = -12. Suppose g*n - 967697 - 1782303 = 0. Round n to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25087183769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23559825\/22 or 1070902?\nAnswer: 1070902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*j**3 - 34*j - 10*j**3 + 27*j**3 - 7*j**3 + (-4*j - j + 3*j)*(-28*j**2 + 21*j**2 + 38*j**2) to f*j + p*j**3 + a + h*j**2 and give p.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - t**2 - 2. Let b be v(2). Suppose -b*o + 1 = -21. What is the smallest common multiple of o and 1\/(-2) + (-46)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 3 (c) 0.18 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 0 + 4)\/(((-6)\/3)\/6). Let i(p) = -5*p**2 + 2*p - 5. Let n(k) = -4*k**2 + k - 5. Calculate y*n(r) + 2*i(r).\nAnswer: 2*r**2 + r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x**(1\/37)*x)\/x)**(-24) assuming x is positive.\nAnswer: x**(-912\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**3 - 285*u**2 - 5*u + 285 = 0 for u.\nAnswer: -1, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 7, x: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40656*h**2 + 26*h - 92 wrt h?\nAnswer: -81312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - eb6?\nAnswer: -eba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1246966.\nAnswer: -5\/1246966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (943*t**3 - 950*t**3 + 11*t**2 + 13*t**2)*(0 + 0 - 2*t).\nAnswer: 14*t**4 - 48*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -35*x + 38*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*z + 463033 = 463505 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1579*x + 14488. What is r(9)?\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-280))\/(13\/((-3003)\/(-22)))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 3*f**3 + 42*f**2 + 76*f**2 - f**3.\nAnswer: -4*f**3 + 118*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5584 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2582534cm to kilometers.\nAnswer: 0.000002582534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 5:42 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 - 4*r + 63 - 4*r**2 + 2*r + 4*r**2 + 4*r**2 as f*r**2 + g + u*r and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2867928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4613951.77 rounded to the nearest 100000?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 6. Let c be ((-5)\/(-4))\/(z\/(-128)). Does 23 divide (138\/8)\/((-30)\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*v - 79*v - 96 - 77*v.\nAnswer: v - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millisecond in nanoseconds?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + f**3 - 3*f**4 - 3 + f + 2*f**3 to l*f**3 + g*f**2 + z*f + k*f**4 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/33861?\nAnswer: 4\/33861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/8 and 59\/15888808.\nAnswer: 15888808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(1\/6)*s))\/s**(-4\/3))\/((s*s**(-2)\/s)\/s)**25)**31 assuming s is positive.\nAnswer: s**(14167\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**2\/7 + 2041344*f\/7 - 6124023\/7 = 0?\nAnswer: 3, 2041341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 72\/30 + (-30)\/(-50)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47682.58946 rounded to the nearest integer?\nAnswer: -47683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 12*o**2 + 5*o + 52. Let j be u(-12). What is the closest to -2 in j, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1368279072 or 1368279070?\nAnswer: 1368279070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 15*m - 46. Give d(14).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177519 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623*c + 246 + 334 = -603*c for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + 10. Suppose -2*w - b = 5*t, -6*t - 4*w = -3*t + 32. What is the units digit of (-8)\/10*20\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**5 - 25*g**4\/4 - 5*g**3 + 45*g**2\/2 - 17. Determine z so that d(z) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1751700447 to the power of 1\/2, to the nearest integer?\nAnswer: 41853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 50 + 118 - 37*x + 6*x - x.\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(0*u - 6*u - 20*u - 1).\nAnswer: 52*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 21*n**3 + 118*n**2 + 60*n - 200.\nAnswer: (n - 1)*(n + 2)*(n + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((-1*sqrt(3136))\/sqrt(7))**2)*1.\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 16 = -3*m, 3*m - 9*m - 6*i - 133 + 101 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 + 68 = -8*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y + y + 0*y + (-18*y + 2*y + y)*(2 - 10 + 1) - 2 + 2 - 4*y + (-3 - y + 3)*(2 - 3 + 0) - y + 2*y + 0*y to the form r + t*y and give t.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -469 + 474. Suppose 5 = -d*s - 5*m, 0*s - 5*s + 10 = 2*m. Factor -12\/7*g**2 + 9\/7*g**s + 0*g - 3\/7*g**5 + 0 + 0*g**3.\nAnswer: -3*g**2*(g - 2)**2*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.717078 hours in milliseconds?\nAnswer: 20581480.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -846*o = -842*o + t - 3, 2*o = 9*t + 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3888 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*v**2 - 48*v**2 - 7*v**2 + 26*v**2 + (v - 2*v + 0*v)*(v - 3*v + 4*v).\nAnswer: -73*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1443972 - 898680. Let g = -143292 + u. Suppose 3*z - g = -3*z. What is z rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*a - 136*a - 146*a + 48032*a**2 + 424*a.\nAnswer: 48032*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -291*d**2*z + d**2 + 4*d*z**2 - 33093*d + 41441*z**2 - 489 with respect to z.\nAnswer: -291*d**2 + 8*d*z + 82882*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 6*h - 3. Let i be b(5). Let o = 18 + -27. Let x(z) = -z**2 - 12*z - 3. Let s be x(o). Solve 0 = -3*d + 3*r + 21, -3*d + i*r + 2*r = -s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 - (1 + -1)\/(-1). Let p be 2\/(-9) - n\/72. Let t = -33.98 - -34. Which is the biggest value? (a) t (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -66, -561, -2010, -4923, -9810, -17181, -27546?\n\"Answer: -85*o**3 + 33*o**2 + o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 167, 173, 197, 245, 323, 437?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 694812644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*j - 1624 + 199. What is the remainder when 55 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79\/(-133) - (-18)\/14*(-620)\/(-930).\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 + 1*(-3)\/1 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-40) + (-266)\/(-280). Let g = -7.7 + 8. Which is the third biggest value? (a) k (b) g (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*g + 45815 = -1138*g for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 304\/80)\/(4\/210)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8 - 2 + 5 + b + 63*b**3 - 64*b**3 - 10*b**2. Let j be v(-10). Are 2 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12647 + -712?\nAnswer: 11835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 19, 5, 4 in decreasing order.\nAnswer: 19, 5, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1494*i**2*l*q**2 + 22285*i**2*l - 5*l*q**3 wrt q.\nAnswer: 2988*i**2*l*q - 15*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10140936.\nAnswer: 2, 3, 13, 32503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2044851?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*a - 22*a - 23*a - 23*a.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f - 5. Let o be c(5). Suppose 10*p + o = 5*p. Let s(a) = 4*a**2 + 8*a + 10. What is the tens digit of s(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**4 + 3657484*c**2 - 26749527*c.\nAnswer: 36*c**2 + 7314968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -378.4 + 382. Which is the second smallest value? (a) -4\/5 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 - -246. What is the remainder when m is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 55 = -5*k + t, -t = 2*k - 22. Solve 3*h - 3 = p + 2, -k = 5*p - h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110947?\nAnswer: 110947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 26.7, 306, 0.1 in ascending order.\nAnswer: 0.1, 26.7, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -344 + 333. Let t be (-6 - c) + -1 + 28. What is the greatest common factor of 544 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q = 232637*a - 232635*a - 138, 0 = q - 5*a + 423 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 3510.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = -14. Let w = 9 + y. Let b(u) = -9*u - 6. Does 18 divide b(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2673 and 0.48?\nAnswer: 0.2127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6516 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5053431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 28) + (-1 - -10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -49.\nAnswer: -5\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-32)*((-212)\/5 - -12)\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059 divided by -270331?\nAnswer: -1059\/270331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52, -119, -186, -253?\n\"Answer: -67*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 62, 91, 120, 149?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-91))\/(2408\/(-2236))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 381*z = -378*z + 57882, k + 4*z = 14442. List the prime factors of k.\nAnswer: 2, 3, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + -4 + 3 + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 + -351?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 6 in descending order.\nAnswer: 6, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*h - 54 = -28, 3*u + h - 15 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10002 + -3?\nAnswer: -10005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (9 + -22 - -40).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.69 + 4.39. What is the nearest to j in -0.5, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -170.72 - -176. Let o = -0.078 + 0.358. Let b = r - o. What is the smallest value in b, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (120\/30 + (2 - 5))*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 84*w + 75. Let r be t(-10). Let j = r + 1287. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghhhhhhghggghgh. What is prob of picking 1 g and 1 h?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 5:32 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12725, -51100, -115047, -204572, -319681, -460380, -626675, -818572?\nAnswer: -1036077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 4:28 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1 + (5 - 1 - 5)*(-2 + 2 + 3))*((-2 + 6 - 2)*(g + 5*g - 4*g) - g + 3*g + 2*g) as m*g + f and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 6*w - 14 + 15 - 4*w**2 + 2*w to the form g + o*w**2 + c*w and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5884*k - 129468. Determine a(22).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 191101 and 492?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*u - 12*u + 14*u**4)*(3*u + 2*u - 8*u).\nAnswer: -42*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -70. Let h(q) = q**3 - 7*q**2 + 9*q + 8. What is the remainder when h(7) is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1215072 by 6.\nAnswer: -202512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 444.716923 to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 3. Let o be z(0). Suppose -3*h + 2*g = h - 22, 4 = -4*g. Suppose 242 = -o*u + h*u. Calculate the highest common factor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide -10 + 10 + ((-17184)\/(-4) - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from cssjcss?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -29699406 rounded to the nearest 10000?\nAnswer: -29700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 50. Let b be k(26). Determine d so that b*d**4 + 18*d**2 + 20*d**3 + 45*d**2 + 16*d - 4*d**4 - 97*d**2 = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.107 - 0.107. Which is smaller: -5\/2 or j?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-24)*20\/(-25).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53624 (base 9) to base 13.\nAnswer: -1320a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 13*y**2 + 12*y + 1. What is l(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-94)\/(-1031415)*57)\/((-7)\/(-35))?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -83*x**3 - x - 4. Let k(r) = -165*r**3 - 2*r - 9. Give -9*c(g) + 4*k(g).\nAnswer: 87*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 6*f + 1. Let x be p(-5). Let n(v) = -2*v - 4. Let w be n(x). Suppose 2*i - 5*t - 3 = 30, 5*t = 5*i - 45. Are w and i unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 72.7. Let m = -64.3 - x. Let i = -63 - m. Sort i, 3\/2, 1\/5, 1\/2 in descending order.\nAnswer: 3\/2, 1\/2, 1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31410 less than -0.18?\nAnswer: 31409.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -15052387.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30634015 and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(2\/3))\/v)\/v)**(-1\/3)*((v*v**0)\/v)**(-27)*(v\/(v\/v**(-2\/9))*v**(-1\/2))**(6\/31) assuming v is positive.\nAnswer: v**(116\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2969\/2 - 1480. Let j(b) be the first derivative of -a*b**4 - 10\/3*b**3 + 0*b + 12 + 0*b**2. What is the third derivative of j(t) wrt t?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2483*a**3 - 52*a**2. Let x(s) = s**3 + 4*s**2. What is g(p) + 13*x(p)?\nAnswer: -2470*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 3*c = -28. Let g be c\/(14\/(-7500))*80. What is g rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -80 + 27 + 305*c**2 + c + 4*c**3 - 303*c**2 in the form y*c**3 + t + n*c + b*c**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 46.\nAnswer: 21\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 + -0.3. What is the second biggest value in -5, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i + i**4 - 3 + 3*i + 0 wrt i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**4\/2 - 1719*x**3\/2 - 6795*x**2\/2 + 18759*x\/2 - 5121 = 0. What is x?\nAnswer: -569, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5 + 3)*(-12*k**3 + 5*k**3 + 20*k**3).\nAnswer: -104*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -143663 (base 7) to base 8\nAnswer: -66203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3380 plus -35?\nAnswer: -3415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 198, 486, 914, 1554, 2478, 3758, 5466?\n\"Answer: 12*z**3 - 2*z**2 + 210*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 1023.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18238819.9 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/22 + -2)*(-16)\/(-56).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -17274051 divided by 122511\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -1\/7, 1.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166072, -166451, -167478, -169477, -172772, -177687, -184546, -193673?\nAnswer: -205392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57916213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {n: 5, z: 4, s: 3, g: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1509*h - 321971. Calculate a(214).\nAnswer: 955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 d when three letters picked without replacement from pdpyydypppypyddpppyp.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270685 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-5)\/20*1. Suppose -5*b - 3*q + 4784 = v, 4*b + 0*q - 3823 = -q. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-6) + 3\/9. Let k = z - -12. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 = -2. Suppose 0 = -t + 2*t - 5. Let k = t + h. Sort k, -3, -2 in descending order.\nAnswer: k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkuukk. Give prob of picking 2 k and 2 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 - 154*f - 1321. Determine p(-41).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*-9*(-9)\/162.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 85eb5e - 6?\nAnswer: 85eb58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 + 309 - 61 + 8*g - 15*g.\nAnswer: -7*g + 350","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q + 3*q + q**2 - 3*q + 3 + 5*q. Let w be p(-3). Solve -w*g = -5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.062 - -2.938. What is the nearest to 1 in r, -17, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(2*sqrt(112))**2.\nAnswer: -1343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2576 is divided by 55?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*s + 3*h, 5*h + 30 = 53*s - 56*s. What is the smallest value in -0.2, s, -1\/22?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 2*o - 2*o + 15 + 3*o.\nAnswer: -2*o + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 8\/41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {z: 3, u: 3, i: 1, q: 2, h: 3, m: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/sqrt(4))\/sqrt(5) - sqrt(45)*-1)**2 + 4.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7003208 divided by -875401\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -539.255 rounded to the nearest 10?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 7 + 7. Suppose -12*f + 11*f + 11 = 0. Let v = f - d. Put -5, 5, v in increasing order.\nAnswer: -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7635721, 7635722, 7635723, 7635724?\nAnswer: 7635725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -246.9\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 39237233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*g**5 - g**2 + 7*g - 1 wrt g?\nAnswer: -380*g**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 11*u + 5. Let s(y) = 6*y**2 + 33*y - 14. What is -17*m(q) - 6*s(q)?\nAnswer: -2*q**2 - 11*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*l - 2*y = -150, 2*l = -27*y + 25*y + 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 641959 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/16 and 187\/80 + (-16)\/40?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let n(o) = 5*o + 7*o + 8*o + 17 - 22*o. Calculate n(c(w)).\nAnswer: 2*w + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 3:29 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 16, 5 in decreasing order.\nAnswer: 16, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6172.35279477 + 6172.44. Let p = -0.0872 + t. Round p to 7 dps.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + -7 - (-2)\/4*10. Suppose b*r - r - 3*c = 147, r - 3*c - 39 = 0. What is the greatest common divisor of r and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 + (43 - -46) - -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*s - 3 = -3*m - 30*s, -s = -3*m + 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -40778790\nAnswer: -16311516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001461907 to 7 dps.\nAnswer: -0.0000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.2. Let f be -6 - ((-72)\/20 + -2). Let w = 0 - 5. What is the smallest value in i, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 45\/15 + 10*1. Suppose -15*a + 4 = -q*a. List the prime factors of ((-10)\/(-6) - a)*-93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(16)\/(-3*sqrt(8)*-1).\nAnswer: 2*sqrt(2)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/6)\/((-2)\/12). Suppose a*y = y. Suppose j = -y*j + 20. 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: Calculate the remainder when 49 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10028435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4747\/70 - 338\/5. Suppose -2*q = 2*q - 4. Which is greater: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 2890803?\nAnswer: 8672409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 305520 less than 305519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4178 - -4178.4. Let t = -8 + 4. Put d, t, 0.5, -24 in descending order.\nAnswer: 0.5, d, t, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**3 + 2*m**2 + m - 1. Let x(v) = 25*v**3 + 20*v**2 - 4*v - 19. Let p(g) = -x(g) + 6*z(g). Calculate p(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18256 + 4*r + 18259 + 11*r**3 - 36513 as i + z*r + b*r**2 + s*r**3 and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*k + 5*b - 6 = -128*k + 55*k, k - 3*b = 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 7371573, 5, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 + 101. Suppose -s + h*v + 295 = 0, 0*s = -s - 3*v + 313. Suppose -j = j - s. What is the highest common divisor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26725747630.96 + -0.07\nAnswer: 26725747630.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 52*c**2 - 59*c - 378. Is n(-10) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 988412*u**2 - 61059398400*u - 61060386816.\nAnswer: -4*(u - 123552)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-9)*21738\/(-2). Let s = -1044 - k. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140 divided by -25513\nAnswer: 140\/25513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*q + 4 = -6, -l = 5*q - 2. Solve l*d + v = 10, 4*v - 8*v + 20 = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, -2, 7, 1, -78, -1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3692 - 3140. Calculate the highest common divisor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158\/7 + 12647\/560. Let r(j) be the second derivative of 0*j**2 + 0*j**4 - 1\/168*j**7 - n*j**5 + 0 + 1\/60*j**6 + 0*j**3 - 2*j. Solve r(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pup when three letters picked without replacement from puuooppupuu?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*o + o - 80 = 0, 121 = 4*q - 5*o. Let v = 40 - q. What is the second derivative of 4*t - 8*t - v*t + 25*t**4 - 8*t**4 wrt t?\nAnswer: 204*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1923 in decreasing order.\nAnswer: -2, -3, -1923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1536 and 2018816?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 2*u + 3151. Is i(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 30*n + 142. What is the smallest common multiple of d(5) and 7?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p\/p**(3\/4))\/p)*p))**(-1\/12)\/(p*p**2*p\/p**(5\/2)) assuming p is positive.\nAnswer: p**(-65\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 - -13.79. Let d = h - 14.000256. Round d to five decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -185 + 289. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 906.38786 and -14.\nAnswer: 892.38786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 30.3051\nAnswer: -90.9153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (4 - 3))\/2. Let u be 14\/35 + s + 0. Find f, given that 2\/5*f + 0 + u*f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2871 - -20435.7.\nAnswer: 17564.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvvv when four letters picked without replacement from wwvvwwwv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3864565*c**3 + 1288159*c**3 + 1288258*c**3 + 1288162*c**3.\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -57 - (1306 - 1314)) + (-5 - -1)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1201503*i + 1201505. What is r(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29149749.\nAnswer: 3, 3238861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368 - -356 - (0 + -36).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, j: 2, y: 1, n: 1, d: 4}. Give prob of sequence njn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 + -82.8984. What is d rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxoxxxooxbfxxxox?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 1:04 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(128)*1 - (sqrt(128) + 0)*5)*6)**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 5*a + 4. Let k be x(3). Let r = 12 - k. Let n(h) = r + 0*h - 3 - h + 4*h. Determine n(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 477131656 divided by 34\nAnswer: 14033284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j - 50 + 18. Which is the second biggest value? (a) 1 (b) j (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -4 + 2)*-9. What is the greatest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 15963115*z\/3 + 21284148.\nAnswer: (z + 4)*(z + 15963111)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 10:04 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + 22*t**2 + 2. Let l be z(11). Find the third derivative of 25*y**2 + 0*y**l - 96*y**3 - 23*y**2 - 7*y wrt y.\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/5))**15)**25*(b**(4\/5)*b)\/b**0*b**(-6)*b**(-1\/6)*b assuming b is positive.\nAnswer: b**(6649\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 8:53 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*k + 57. Calculate the remainder when 49 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 10 = 8*g. Suppose -7 = -3*r - n, 4*r - 2*n = 1 + 15. Differentiate -4*b**3 - 2*b**r + 4*b**g + 2 with respect to b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*r - 8 = -s - 44*r, s + r = 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 96 and 101 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**4 - 2*j**3 + 3*j**3 - 4*j**4 - j**5 + j**2 = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivvp when four letters picked without replacement from {i: 4, w: 2, v: 5, p: 2}?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 - 1.74. Let i = u - -1.4. Which is the nearest to -1\/4? (a) 1\/5 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -130*t - 917. Determine l(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -24465.\nAnswer: -2\/24465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -3*z**5\/25 - z**4\/15 + 11*z**2\/2 + 11*z. Let f(s) be the first derivative of c(s). Factor f(q).\nAnswer: -4*q*(9*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 176.4 - 176.9. Let w = 0.195 - -0.205. Which is the closest to 2? (a) z (b) w (c) -0.05 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -120, 2.5, -2\/7, 2\/11, 0.4, -29?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/114631?\nAnswer: 4\/114631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22 from -35383.\nAnswer: -35361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -5*m - 2, -5*m - 674 + 1371 = -5*b + 687 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 1420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooooo. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*w - 3 = 8, q - 3*w = -3. Let y = q - 9. Suppose 5*m - c - 2*c = 75, 55 = 5*m + c. Solve h + 2*h - m = y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-456)\/(-108) - 4\/18. Let j(v) = 4 + u*v - 7*v + v. Determine j(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 8. Let h = 9 + p. Calculate the remainder when 4\/(-16) - (-242)\/8 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -269813.276 - 10.7\nAnswer: -269823.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -24, 4, 0.63, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169 and 491192?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4136 (base 10) to base 12\nAnswer: -2488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by -1254\nAnswer: -37\/1254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 86*t**2 + 302*t + 20. Let r(d) = d. What is b(r(z))?\nAnswer: 86*z**2 + 302*z + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l = 25. Suppose 0 = l*x - 8 - 12. Solve 12 = d - x*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 30 = 14*q. Let h(w) be the first derivative of -w**3\/3 + 5*w**2\/2 - w - 4. Determine h(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 11*z**2 - 28*z + 1. Let c be g(-7). Let q(h) be the second derivative of -2*h**4\/3 + h**3\/6 - h**2\/2 - 2*h. Give q(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1226 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -117*i + 590. Let t be a(5). Solve 9 = -2*w + 11, -3 = t*l - 3*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 33 = 46 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29512684 is divided by 112.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r*r*r**(-7\/4))\/r)*r**9*r*r**(2\/39)*(r*r**15*r*r)\/r assuming r is positive.\nAnswer: r**(4493\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -3*u + 5*u + 8, -2*j + 12 = -3*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8\/((y\/y**(3\/10))\/y)*y**(-1\/5)\/y**(-9))\/(y*y**5\/y*y**(-3\/16))**(-2\/27) assuming y is positive.\nAnswer: y**(18853\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*b + 3)*(-6*b**3 + 19 + 5*b**3 + 7*b**3) to s*b + n*b**4 + d*b**2 + t*b**3 + i and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 853686, 853690, 853694, 853698?\n\"Answer: 4*v + 853682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/18 - 629\/(-153). What is the derivative of -8 + u + 21 - v**2 - 29*v**2 wrt v?\nAnswer: -60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2355811 + -94292453\/40. Let f = -1499 - o. Find the common denominator of -99\/70 and f.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/228*-4)\/((-3)\/(-306)*-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2490169794.\nAnswer: 2, 3, 7, 71, 419, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 177. Let p(b) be the third derivative of b**4\/6 - 153*b**2. Give p(v(s)).\nAnswer: -4*s**2 - 708","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 80814959 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5572174 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 847 by -111.\nAnswer: -847\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or -206?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67108 is divided by 3195.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-120)*(-50)\/40\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -106\/727457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + -1 + 46 + 0.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1756 - -1.1\nAnswer: 1757.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q + 5*t + 6 = 0, -5*q = -2*t - 21. Let d = 4340 - 52033\/12. Calculate the common denominator of d and (-3 - 64\/3) + q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1378549 divided by 101.\nAnswer: -13649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-35)\/(-135)*-3*(-2752)\/1120 and -76\/2205?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157.77 + 0.77. Let c = l - -157.00139. What is c rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60024 (base 7) in base 6?\nAnswer: 150440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*o + 19*o + 198*o + 155*o as z*o + j and give z.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 30, 24, 18, 12, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4040544 (base 6) in base 13?\nAnswer: 69526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**8\/24 + 7*h**5\/30 + 8*h**2 - 9*h. Let x(w) be the first derivative of p(w). Find the third derivative of x(m) wrt m.\nAnswer: 840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -18*q**3 - 24*q**2 - 11*q - 30. Is d(-6) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -6*i + 4*i. Find the common denominator of 17\/10 and (-6)\/i - 902\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 45348650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -2, -50, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2) - (-11)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 3*l - 1. Let k be g(4). Suppose k*q - 5*q - 36 = 0. Let v be 2 + q\/(9\/(-3)). Which is the biggest value? (a) v (b) -5 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/25*-5 + -38\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -5, -3, 0.1, -0.06?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -49, -5\/2, 0, 1\/21 in descending order.\nAnswer: 1\/21, 0, -1\/10, -5\/2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttntntttttn. What is prob of sequence ttn?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 26*k**2 - 10*k - 198. Let b(z) = 3*z**2 - z - 1. What is 11*b(w) - p(w)?\nAnswer: 7*w**2 - w + 187","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f + 12 = 0. Let p(j) = j**2 - 3*j - 7. Let q be p(5). What is the greatest common divisor of q and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2105 - 138949\/66. What is the common denominator of h and 59\/9?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 411 = t + 464, -3*d + 4*t + 43 = 0. Solve 3 = 3*s, -d*f + 5*s = -11*f - 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 - -15.02. Let i = b - 13.7. Let o = 0.3 - i. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/103 (b) -16 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166 - -170. Suppose -7*u + 598 = n*l - 9*u, 0 = -5*l + 3*u + 750. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-60)\/40 - (-3)\/(-2). Which is the biggest value? (a) -5 (b) -4\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 90*o + 18 + 97*o - 186*o. Calculate s(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1287312934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1365, -2395, -3275, -4005, -4585, -5015?\nAnswer: -5295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - j**2 + ((-1 + 0 - 1)*(1 - 2*j - 1) + 11 - 11 - 6*j)*(138*j + 2 + 27*j - 69*j).\nAnswer: -193*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpo when three letters picked without replacement from rrrprortvrprtp?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 26.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, a: 4, o: 5}. Give prob of picking 1 o and 2 r.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -59525924 less than 419?\nAnswer: 59526343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 135.69273 - -16402.4\nAnswer: 16538.09273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219739 is divided by 763.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680409 is divided by 673.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 0, -27, -120 in increasing order.\nAnswer: -120, -27, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2403112 milligrams in micrograms?\nAnswer: 240.3112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 222438 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18543791?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39660*p = 39404*p + 2*c + 1278, -p = 5*c - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (91 - 42 - 30).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.333748 less than 0.011?\nAnswer: 8.344748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -265.221 rounded to the nearest integer?\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.17 - 0.17. Let y = g + -10. What is the closest to -0.3 in 0.4, y, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -13*v**4\/4 - 19*v + 15. Differentiate i(r) with respect to r.\nAnswer: -39*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**2 + 558*l - 267. Determine y(139).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214, -429, -644, -859, -1074, -1289?\nAnswer: -1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3167.625 and 44735691?\nAnswer: 44732523.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -333, -2, 0 in descending order.\nAnswer: 0, -2, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -15, -65, -155, -297?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145347 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49954153 and 2726.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1978175 divided by 79.\nAnswer: 1978175\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gylyyyyylyyylylyl. What is prob of sequence yl?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44438 or 44499?\nAnswer: 44438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p + 1231 = 981 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13138662851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -528863\/69300 - -1003\/132. What is the common denominator of -59\/1925 and g?\nAnswer: 17325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832246 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gappaoalla. Give prob of picking 1 g and 1 l.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*l - 401*l + 67 = -5*v, 2*v + 70 = 10*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*b - 174 = 0, -b = -5*m + b + 213. Let i = 43 - m. Suppose i = 48*n - 46*n - 254. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -20*d**2 + 0*d**5 - 1\/120*d**6 - 2*d + 1\/18*d**4 + 1\/630*d**7 + 0 + 0*d**3. Factor y(g).\nAnswer: g*(g - 2)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, b: 3}. Give prob of sequence xxb.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 6) to base 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -4 + 48 + 1 + 21?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5159\/2211*(-12)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 6.688?\nAnswer: -40.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*(-5*(-1 + sqrt(1539)) + sqrt(1539)).\nAnswer: -72*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 4. Let r be l(6). Let q(d) = r*d - d + d. Let o(u) = 2*u. Determine o(q(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 13*p - 19. Let h be i(-11). Suppose 3*r + 168 = h*y, y - 69 = -5*r - 13. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-6))\/(2\/3). Let u(g) = 8*g**l + 4*g**2 + 5*g**2. Let v(f) = -1318 + 1318 - 2*f + f. Give u(v(c)).\nAnswer: 17*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + -56. Let a = -432 + i. What is a rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 20 = -5*a - 9*m, 20 = 5*m. Let x(q) = -q + 1. Let z be x(4). Put -0.1, z, a in ascending order.\nAnswer: z, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -6.3. Let s = 1 - 1. Let b = s - -0.4. What is the smallest value in l, 0.5, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k + 2*k)*(-320 - 299 + 473) - 4*k + 6*k - 4*k.\nAnswer: -294*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(304)*-2 + 2 + (-5 + 1*sqrt(2299) + sqrt(2299) + sqrt(2299))**2*-6.\nAnswer: -124294 + 2012*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r - 6. Suppose -j + 0*j + r = 0. Solve 4*d - j*i = -5*i - 8, 3*d - 2*i + 13 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4 + 8*m**3 - 2*m**2 - 80*m + 75 = 0. What is m?\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -3. Suppose -s*d - 4*k - 20 = 0, 5*d - k = d - 16. Put 2, 3, d in decreasing order.\nAnswer: 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/11465 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + q**3 + 2*q**3 + 21*q - 16*q)*(-11*q + 21*q - 8*q) + 27*q**3 - 27*q**3 - 3*q**4 in the form x + c*q**4 + r*q**3 + w*q**2 + b*q and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.0907725 times -1?\nAnswer: -97.0907725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -574 at least as big as -575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-3*y - 52*y**4 + 55*y**4 - 1 + 2).\nAnswer: 3*y**4 - 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 23 - (-8734 - -8625)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, o: 9}. Give prob of picking 3 r and 1 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -1 + 5 - 220\/20. Let y = 3 - 5. Sort r, y, -4\/5 in ascending order.\nAnswer: r, y, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -q - 4, -5*j - 8 = 234*q - 232*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 745, 2550, 6065, 11860, 20505?\nAnswer: 32570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1677 + -1676.8. Let l be (-2)\/(-8) - 19\/(-4). Which is the biggest value? (a) l (b) -0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 305254 and 1056818?\nAnswer: 292738586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9266.983 centuries?\nAnswer: 926698.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1504)\/(-1848) + (-60)\/(-630)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25445 - 2805 - 1903 = 1354*q - 4989 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 10 = -v. Let w be 4\/((-12)\/(-39))*-2 - -1. Is v + 0 - 0 - w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2556, 5125, 7694, 10263, 12832, 15401?\n\"Answer: 2569*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 7*a - 54 = 0. Suppose 2*g + 5*j = j - 8, -3*j - a = -g. Solve g*p = -5*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.819013929 - -6?\nAnswer: 8.819013929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.9503 and -3102.243?\nAnswer: 3099.2927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -3 - (0 + 1). Let q = t - -4. Is q >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*k + 5. What is the derivative of 3 - 5 - j**4 + 4 - k wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-46) - 1175435549\/(-1817). What is p rounded to the nearest ten thousand?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.25648 and 1.3.\nAnswer: 1.55648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 + 22*v - 391. Does 18 divide x(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -20, 5, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -18592\nAnswer: 18592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-20)\/(-3)*21\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 84*p**4 + 1396*p**3 + 5460*p**2 + 2988*p + 440 = 0.\nAnswer: -11, -5, -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + (-3118)\/(-140) - (4 - (-43)\/(-10))) + -6?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/(-2))\/((1 - 3)\/4). Let o be -1 - (-9)\/(p\/(-2)). Let x = 4 + -1. Sort x, o, -3 in descending order.\nAnswer: x, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 + 17*f - 104. Let j(w) = w**2 - 9*w + 60. Let o(k) = -11*j(k) - 6*z(k). What is o(0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**6 - 2721*w**5 + 41*w**2 - 19*w.\nAnswer: -240*w**3 - 163260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*k - 4*n, -2*k + 4*k - 3*n = 12. Let c be (-15)\/2*(-4)\/6. Suppose -k*a - 50 = -c*a. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 31. Solve 3*i + 2*i = -m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1406886 and 144296.\nAnswer: 5627544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -233313 - 113?\nAnswer: -233431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4847 (b) -0.5 (c) -6 (d) 5 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 46 (c) 428 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-14)\/(-10) - 836\/(-110)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4494, 8986, 13468, 17934, 22378, 26794, 31176, 35518?\n\"Answer: -n**3 + n**2 + 4496*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69827995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f**3 + 4 - 3 + 1 in the form k*f + j + l*f**3 + t*f**2 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((27\/2430*-20)\/((-8)\/(-9)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73427 is divided by 588?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 5, -5, -2\/7, 2465?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-402)\/(-1608))\/((1\/(-12))\/(110\/6)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.4 (b) -0.5 (c) 1\/2 (d) -6 (e) -1.229\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5ac (base 16) to base 6.\nAnswer: -10420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104612016 and 3076824.\nAnswer: 104612016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*v - 2*t - 7 = 44*v, -t = 5*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14 - 6*(-5)\/(-15). Suppose -g + 5 - 3 = 0. Solve -4 + v = -g*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*m**2\/3 + 155*m\/3 - 6.\nAnswer: -(m - 9)*(17*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 66*j + 2457, 3*i + 3*i + 180 = 2*i + 3*i + 5*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 1 = -7*l. Let u be (l + -56)\/(15\/10). Is -3 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**5\/8 - 21*a**4\/2 + 45*a**3\/2 + 1725*a**2\/4 + 7737*a\/8 + 2277\/4 = 0.\nAnswer: -3, -2, -1, 11, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370 + 370 + 99*i**2.\nAnswer: 99*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3 - 546*a**2 - 1617*a - 1074 = 0. Calculate a.\nAnswer: -179, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 - 2*q**2 + 3*q**2 + (-2*q - 2*q + 5*q)*(2*q + 1 - 1) + 4*q**2 - 3*q**2 + 0*q**2 - 1 + q**2 + 1 + 38613*q - 38613*q - 340*q**2.\nAnswer: -335*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -331\/120 - -21\/8. What is the third smallest value in -1\/3, -71, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l = 470. Suppose l - 26 = 4*n. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4550 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/5 + 3*y\/5 + 4\/5 = 0. What is y?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*s**3 - 3*s**2 + 5*s**2 - s - 55*s**3 to the form v*s + g*s**3 + h*s**2 + a and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/14872 and -27\/10.\nAnswer: 74360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59925 + -59924.28111. Let f = -0.72 + r. What is f rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12171139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 0.05.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 6.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -88*f + 955. Let c be h(11). Let y(p) be the third derivative of p**5\/60 + 13*p**4\/24 + 9*p**3\/2 - p**2. What are the prime factors of y(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120*-13399.\nAnswer: 1607880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/4 and 67\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384 divided by -6.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 350*i**2*y**3 + 28*i**2*y**2 - 2*i*y**3 + 5*i*y**2 + i*y - 7*y**3 - 54*y**2 wrt i?\nAnswer: 700*y**3 + 56*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -572 + 566. Which is bigger: -37 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6019 times 0.2025\nAnswer: 1218.8475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-36)*(-39)\/78.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (0\/6 - -49). Let u be ((-12)\/s)\/((-6)\/15). Let v = 0.2 + -10.2. Which is bigger: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -17, 4, -4, 2\/7, -12\/49, -1\/9, -3\/2?\nAnswer: -12\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10) + (-6)\/15\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uubbbuuububuu. Give prob of sequence bbu.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-5)*t)\/((t**(-4\/3)\/t)\/t*t))\/(t**3*t\/(t*(t*t**(-1\/4))\/t)))**46 assuming t is positive.\nAnswer: t**(-1357\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*a - 66*a - 48*a - 148*a as q + i*a and give i.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35380\/3248 + ((-45)\/(-12))\/3 - 9?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 54*h + 114 - 231. Let m be (-10)\/(-55) - (-2)\/(-11). Solve 5 = -5*b - h*j, m = 5*b + 4*j + 5 - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*s**2 + 67*s**2 + 77*s**2 - 263*s - 1 - 298*s**2 + 81*s**2 in the form u + y*s + n*s**2 and give y.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, 827\/3, -6\/7, 1\/4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 755135650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnlnfvnllnnvvp. What is prob of sequence nnnl?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*w - 79*w + 8*w**3 - 12*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -270 + 654. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyeqyyeyq. What is prob of sequence qe?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6108 times -1?\nAnswer: 6108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 24 = -4*m, -41*v + 5 = -39*v + 3*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 422 + 0. Suppose -3*r = -r - x. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2\/203, 3\/8, 2\/9.\nAnswer: -6, 2\/203, 2\/9, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6881, -6889, -6897, -6905, -6913, -6921?\nAnswer: -6929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 971 - 84. What are the prime factors of b?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9355543 milligrams in grams?\nAnswer: 0.0009355543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -332 + 5646\/17. Let n be (1 + -1 + 2)\/3. Let m be -2 - (2*(-8)\/6 + 0). Which is the nearest to n? (a) m (b) 0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24791*u**2 + 24765*u**2 - 30 - 2*u**3 + 3*u**3.\nAnswer: u**3 - 26*u**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*p + 4. Let w = 35 + -26. Let r be (0 - 3\/w)\/(8\/(-24)). Solve -r = p*a + 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381451831?\nAnswer: 17, 71, 316033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from {h: 2, s: 1, i: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-42*(-17)\/476)\/(18*(-3)\/264)\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 8) to base 4.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 102 = 2*u, 0 = -x - 0*x - 2*u + 18. What is the third derivative of x*c**5 + 4*c**4 - 4*c**4 - 12*c**5 - 9*c**2 wrt c?\nAnswer: 480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 5 = 2*s, -u - 1 = -2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/21 and -44\/4041.\nAnswer: 28287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(672)\/sqrt(48) + (sqrt(56) - sqrt(6776)*-2))\/((sqrt(200) - (-1*sqrt(200)*2 + sqrt(200))) + sqrt(200))*4)**2.\nAnswer: 61852\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 - 50. Let y = m + -23. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97.1 - -95. What is the fourth smallest value in v, -2\/15, 0.021, -2\/5?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 6. Suppose 0 = -5*n + 28 - 3. What are the prime factors of v(n)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*s + 16, 0 = c - 4*s - 0*s - 16. Suppose -4*r = c, 6*o - 1932 = 2*o + 2*r. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 1. Let s(p) = 14*p - 12. Calculate -60*n(i) - 5*s(i).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 8087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6371196?\nAnswer: 2, 3, 13, 40841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.57 to two decimal places.\nAnswer: -1.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3726)\/(-1620) - 10\/4. What is the closest to -2 in -14\/5, 0.4, c, 1?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4*i - i - 2*i)*(1 - 1 + 1) + 17*i - 469 + 469 as u + k*i and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -26557299 divided by -3\nAnswer: 8852433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82266 + 41133 - 28*b**2 + 41133 + 9*b**3 - 10*b**3.\nAnswer: -b**3 - 28*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -0.4 (c) 2682\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736969 is divided by 820.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 4:37 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**3 - 5*v**2 - 5*v + 2. Let f(g) = -2*g**2 + 10*g + 452. Calculate the remainder when l(-4) is divided by f(-12).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*k - 21, -2*k + 23 = 4*q - 5. Let x(n) = -n + 10. Let r be x(k). Suppose -r = -h, -2*g - g + 3*h = -144. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -37*z. Let r(p) be the first derivative of p**2 + 27. Give r(d(g)).\nAnswer: -74*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17126 (base 8) to base 6\nAnswer: -55542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7.503698 hours?\nAnswer: 27013.3128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - 46*z**2 - 54*z - 202. Calculate a(-22).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.161, -47\/6, 3, 1\/12.\nAnswer: -47\/6, 1\/12, 0.161, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z + 9. Let v(b) = -3*b + 9. Determine -2*m(f) + 3*v(f).\nAnswer: -f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 9 - 13 - 12 + 108*b**2 + 1316*b**2 + 2*b**3 + 36 to x*b + h*b**3 + k + z*b**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20454*x**2 + 23796*x wrt x?\nAnswer: -40908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + -49. Suppose s = -w + j*s - 13, -4*w - 2*s = -38. Suppose -2*u - 2465 = -w*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(4\/5*(-25)\/(-130))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-6)\/2) + 3. Let f = 1.03 - 6.73. Let v = f + 6. Which is the second biggest value? (a) y (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*u**2 + 122*u**5 - 99*u**5 + 43*u**2 wrt u?\nAnswer: 1380*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 18 = -266. Suppose -395 - u = f. Is f\/(-14) + 6\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 1. Let u(r) = -5*r**2 + 17*r - 235. What is -7*d(f) + u(f)?\nAnswer: -5*f**2 + 3*f - 228","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -1346.67.\nAnswer: -1346.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 914 and -8917123894?\nAnswer: 8917124808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 6*m - 12. Let w be 340\/(-35) - (-2)\/(-7). Let p be z(w). Let b = p - 24. Solve 0 = 3*a - b - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9\/4*l + 3\/4*l**2 + 0 + 1\/4*l**4 - 5\/4*l**3 = 0. Calculate l.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -g - 19 + 16, -4*q + 5*g = 3. Suppose -h - 7*h = -q*h. Solve h = -m + 3 - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**6\/90 - q**5\/20 - 13*q**4\/36 + 5*q**3\/6 - 1701*q. Factor a(j).\nAnswer: j*(j - 5)*(j - 1)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54355 + -37746. Let c be (-541218)\/12 + 1\/2. Let y = c - o. Round y to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**2 + 109*x - 81. Let n be z(21). Solve n*v + 32 = 35*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = r - 5, 0 = b + 2. Suppose r*c - c = -5*x + 248, 4*c = -3*x + 158. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**30\/n*n)**(-1\/7) assuming n is positive.\nAnswer: n**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 891 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.45 times 0.037\nAnswer: -0.01665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1165321\nAnswer: -5\/1165321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 7*x + 9. Let k be g(-9). Let n(q) = q**3 + 11*q**2 + 16*q - 12. Let j be n(k). Solve j*i + 10 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, -0.29.\nAnswer: -3, -0.29, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7 + 13 - 2 + z - 13. What is g(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*o = 370*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1855)\/(-14) + 1\/(-2). Suppose 6*d = 9*d - s. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1598573?\nAnswer: 1598573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 + -187.\nAnswer: -187.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p. Suppose 3*c - 59 = -5*t, p = -4*t + 4*c - 3*c + 37. Let l(o) = 0*o + 10*o**2 + 1 + o - 9*o**2 - t*o**2. What is l(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -201*c + 89. Determine y(0).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 67*s + 68*s = 6, -23 = -2*q - 5*s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -21*i**2 - 1. Suppose -8*m = 80, -5*r - 181*m = -185*m - 45. Calculate p(r).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13990 (base 10) in base 4?\nAnswer: 3122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -j + 2*j + 3*r, -2*r = j - 12. Suppose 5*n = j*v - 8 - 23, -4*v + 17 = -n. Suppose 0 = -0*s + 3*s + w - 68, 26 = s - v*w. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 69 = -4*l + 5*l, -4*o + 97 = 3*l. Suppose -2*b + y + 22 = 0, -2*y - 1 = -5. Calculate the lowest common multiple of o and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.1 + -4. Let u = 7 - 38. Let q = u + 27. What is the second biggest value in 4, p, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 + -179. Let a(q) = -q**2 - 33*q - 68. Let z be a(j). Solve 7 = -c - s, -3 = -c - 5*s - z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 195.94 - 223853.\nAnswer: -223657.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**(-2\/79)*r**(2\/3)*r**(2\/19)*(r**(-4\/5)\/r)\/r**6*((r*r\/(r**1*r)*r)\/r)**(2\/23) assuming r is positive.\nAnswer: r**(-316189\/45030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - h = 29, -6*a = -3*a - 3*h - 15. Let s be 15*(-12)\/5*-2. Calculate the highest common divisor of s and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -19) + -14 + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 62*n**2 - 3*n. What are the prime factors of b(1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 29*y - 16. Suppose 5*t - 12 = -y*z, 3*z - 3*t - 4 = 8. Solve z*w = 8*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 + 89. Let i = -18 + f. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/15*(-6)\/9. Let x = -0.06 - -0.06. Sort c, x, 4 in descending order.\nAnswer: 4, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7970204 to the nearest integer?\nAnswer: 2823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -81*h + 1237. What is o(14)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11, -54, -145, -308, -567, -946, -1469, -2160?\n\"Answer: -4*z**3 - 15*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*q**5 + 353*q**5 - 118*q**5 + (-9*q - q - 6*q)*(-q + q + 4*q**4).\nAnswer: 112*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-6))\/((-4)\/12). Let p = 10 + -5. Suppose y + y + 4*t - 136 = 0, -2*t = -p*y + 364. What is the highest common divisor of y and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 314057129?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 855 divide 6764760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + l**2 - 2*l**2)*(2*l + 0 + 0)*(l**2 + 3*l**2 - 6*l**2).\nAnswer: 8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 16. What is the third smallest value in -5, q, 2\/9, -0.9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -802, -1152, -1504, -1858, -2214, -2572, -2932?\nAnswer: -3294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 217001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (208*w + 179*w - 209*w + 4*w)*(4 - 5 + 0)*(8*w - 9*w + 4*w) to k*w + l + p*w**2 and give p.\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 107526, 107559, 107626, 107745, 107934?\n\"Answer: 3*u**3 - u**2 + 15*u + 107509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmlexkv. Give prob of sequence mve.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236478 is divided by 739.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 166 - 82. Calculate the common denominator of 435\/z*12\/10 and -79\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 - 19*x - 4*x - 31364 + 31363 to a*x + o + s*x**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036 - -1460298?\nAnswer: 1460297.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + n = -13, -n = -2*b - 5*n - 4. Find the common denominator of -61\/155 and (-74)\/(-16) + -2*(-12)\/b.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, 54, 262, 720, 1524?\n\"Answer: 16*q**3 - 19*q**2 - q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 64*n - 3521. What is i(47)?\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 252, -46, -21, -3 in descending order.\nAnswer: 252, -3, -21, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 7 (b) 0.04 (c) -0.1 (d) 0 (e) -1\/2 (f) -173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 22 = -g + 4*z, 0 = -2*z. Let a(m) = -255*m + 22. Is a(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*20\/(-8) - -2. Suppose -15*n = -18*n + 21. Is n less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-378)\/(-72) - 1*5. Let h = -10.59 + 10.19. Which is the closest to 0.2? (a) q (b) 2\/7 (c) h (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 - 2.59. Let n = m - -0.9. Let c = 201\/76 - 11\/4. What is the third biggest value in 2\/9, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 3. Let k be i(2). Let l(s) = 4 + k - 1 - 4*s - 3. What is l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*d**3\/6 - 22*d**2\/3 - 2*d.\nAnswer: -d*(d + 6)*(7*d + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.07 and -7.\nAnswer: -8.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13442 = 6*k - 15172. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32711920*f**2*v**3 - 3078*f**2*v**2 + 14*f**2 + 120*f*v**2 wrt v?\nAnswer: -196271520*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -19.2. Put 2, h, 1 in ascending order.\nAnswer: h, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, j: 3, n: 2, i: 4, c: 1, y: 4}. Give prob of sequence cjm.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 302\/3462987 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16748, 33493, 50238?\nAnswer: 66983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -50704182938 less than -31483?\nAnswer: 50704151455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 13*o**2 - 21*o - 1. Calculate j(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 50 and -741642.\nAnswer: -741592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*j + 1. Let x(y) be the second derivative of y**3\/3 - 10*y**2 - 11*y. Let i be x(11). Solve t - j - i = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 657.4?\nAnswer: 665.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(19))*6.\nAnswer: -12*sqrt(19) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 1 (c) 2\/21 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, 115, 2, 0 in ascending order.\nAnswer: -10, -4, 0, 2, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**0)**(-1\/9))**(-24)*((((j*j**8*j)\/j*j)\/j)\/(j**(-5\/2)\/j))\/((j*j*j**6)\/(j*j**(-5))) assuming j is positive.\nAnswer: j**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.990557 tonnes to kilograms.\nAnswer: 5990.557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 540\/9067?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4300.00002637 + 4300. Round s to 6 dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24, 31, 38?\n\"Answer: 7*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/4401535 and 43\/12553419.\nAnswer: 4581997935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 279 and 5673?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15149349251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*t - 3*y - 16 = -193*t, 3*y + 21 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -8 (b) -3 (c) 5 (d) 2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**3\/6 - 9*t**2\/2 - 19*t. Give p(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -14 - 28 - (1 - (1 - 0)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*x = -u - 7, 0 = 4*u - 20. Let c be x\/(-1) + (-1 - 3). Suppose -c*b + 20 = 2*d, -b - 6 + 4 = 4*d. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97798026459 take away -0.232?\nAnswer: -97798026458.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/836 and -5\/308.\nAnswer: 5852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, o: 2}. Give prob of sequence oko.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + (sqrt(931) - (sqrt(931) + -3 + -1 + sqrt(931)) - sqrt(931)))**2 - (-3 + sqrt(931) + 0).\nAnswer: -63*sqrt(19) + 950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, l: 2}. What is prob of picking 2 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 1228729*t**4\/12 - t**3\/3 + 3*t**2. Let h be c(-6). Let j = -26644750 - h. Round j to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*g = 421*g + 70*g + 8640 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2 (c) 0 (d) 0.5 (e) -0.194 (f) 8\/19 (g) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3, 0 = -3*b - 41*v + 45*v - 6. Solve -12 + b = -5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*i - 426 + 522. What is the nearest to -1.8 in -2\/7, 5, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-120)*(-760)\/(-13984).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + 10*g - 10*g)*(4 - g - 4) - 5*g**3 - 3*g**3 + g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20151 (b) 0.2 (c) 2.397\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -13*i**3 + 7*i + 6. Let v(h) = 6*h**3 - 3*h - 3. Suppose 2*c - 3 = c. Let f(n) = c*y(n) + 7*v(n). What is the derivative of f(k) wrt k?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 9*g**2 + 18*g + 27. Let z be f(11). Let j be 2 - z*4*(-3)\/(-6). Suppose -8*y + 7*y + j = 0. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 2, 3\/10, -9\/4?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 1350 = -16*t. Calculate the common denominator of -47\/18 and 2493\/t - 2\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -17.7. Let d = o + -0.2. Let p(f) = f**2 + 7*f - 4. Let v be p(-8). Put d, v, 2\/7 in descending order.\nAnswer: v, d, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, n: 2, y: 4}. What is prob of sequence nnny?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {j: 5, i: 2, g: 9, p: 2}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14172.9 + -14876. Let s = f + 703. Which is the closest to -1.2? (a) s (b) -0.3 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12802 or -12814?\nAnswer: -12814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ouuouuuuuu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**3 - 52084415*c**2 + 135639340336815*c - 135639288252405 = 0.\nAnswer: 1, 5208441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -6 + 2 - (0 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llkk when four letters picked without replacement from {k: 4, g: 6, l: 7, s: 1, b: 2}?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(-2)*(-2432)\/(-80)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*72\/(-135)*15\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 17*m**2 + 45*m + 1575. Determine f(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssga when four letters picked without replacement from {s: 2, g: 1, m: 1, a: 1, v: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 573353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 17 = -2*g - 13, -5*g + 3*l = 88. Which is greater: -16 or g?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + m - 91 = 0, -78 - 58 - 25 = -5*j + 3*m for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 1:33 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - v + 23 = -15, -v = -l + 4. Let r = l + -3. Suppose r*n + n = 70. Calculate the highest common divisor of n and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*t**3 + 9 - 2*t**4 + 15*t**2 + 2*t**3 - 8*t**3 - 16*t**2 + 2*t**3 in the form x + j*t**2 + m*t + i*t**4 + y*t**3 and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795797695 is divided by 283.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1) - (0 - -10). Let p = -5 - l. Suppose o = 5*o + 4*s - 84, -p*s = 4*o - 85. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/((-256)\/40 - -6). What is the highest common factor of 42 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 24\/6)\/((-2)\/(-4)). What is the first derivative of -6 + 13*j + 22*j - q*j wrt j?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 23 + 28*x - 164 + 3 + 4 + 166. Determine s(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) -5 (b) 397 (c) 2\/641\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in months?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10801627 divided by -1?\nAnswer: -10801627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -25, -314, -29 in descending order.\nAnswer: 14, -25, -29, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15622995 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 = 3. Let t(n) = 7*n + 0 - h - 4*n. Let l(p) = -7*p + 9. Suppose 0 = -4*w - 4*c + 9 - 33, -2*w - 4*c - 16 = 0. Calculate w*l(o) - 9*t(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 33 = 2*q, -3*c - 133*q + 20 = -273*q + 139*q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 426 - 446. Let t be x*((-5)\/(150\/162) - -5). Calculate the highest common factor of t and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 12890*z + 51572. Calculate b(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 252694 or 7328104\/29?\nAnswer: 252694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2.66, 5, 4, -3 in decreasing order.\nAnswer: 5, 4, -2, -2.66, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -895*w**2 - 26860*w - 300 = 0.\nAnswer: -30, -2\/179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*m - 396, -4*m + 148 = 3*x - 2*x. What is the smallest common multiple of x and 18?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) 0.5 (c) -2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 98 + (31 - 133).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450*j - 10488 = 448*j. Let c(a) = 350*a + 3. Let u be c(5). Let k = j - u. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 0.4 (b) 4\/3 (c) 1\/4 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 175493\/6 - 87742\/3. Determine d so that -n*d + 6 - 9\/4*d**2 = 0.\nAnswer: -2, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000499275842 rounded to seven decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113*-63264.\nAnswer: 7148832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 123)*(-17)\/(-187) - (-2450)\/(-224)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 9*u - 8. Let t be ((-9)\/15)\/(36\/20). What is the nearest to t in 2\/5, u, 3\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(700) + sqrt(700)*-2)**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*p - 20, -3*d + 3*p + 15 = -p. Let w(c) = 3*c**2 + 0*c**2 - d*c**2. Let u(i) = 10*i - 3*i**2 - 7*i - 3*i. Give u(w(o)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24156434?\nAnswer: 2, 12078217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 10:55 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15138397.\nAnswer: 59, 379, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 - 10 = 2*y, 4*z - 25 = 5*y. Let h(p) = z - 1 - 3 + 4*p. What is h(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from ofwowoo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3\/7)*d*d*d*d**10*d)\/(d**29\/((d\/(d*d**(-8)\/d))\/d)))**(-2\/9) assuming d is positive.\nAnswer: d**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 1. Let d(x) = -2*x - 8. Let v(o) = -d(o) - 4*h(o). Let f be v(-1). Let u = -6.2 - -0.2. What is the closest to 1 in u, f, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 3:17 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -1)*1 - 0. Suppose -8 - 32 = -5*d. Suppose p*n - d - 4 = 0. Solve 0 = -n*c + 8 - 20 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4620058626 to the power of 1\/2, to the nearest integer?\nAnswer: 67971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cakydkl. Give prob of sequence lc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 250\/20*(-1 - -3). Suppose 3*n + 15 = 2*g + 4*n, 5*n = 3*g + 10. Solve o = g*f - 5*b, 2*b + 0*b = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/(h\/(h**6\/h))))\/(h**(1\/9)*h))\/((h\/h**(-5)*h)\/(h\/(h\/h**(-6)))) assuming h is positive.\nAnswer: h**(-154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 - 13) + -121 + 86 + -50?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*x = -14, 0 = -0*r - 4*r - 3*x - 71. Let h be 4\/r - (-87)\/585. Suppose 4*t = 4*u - 16, -5*t + 3*t - 11 = u. Is h <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) -0.06 (c) -1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = 0. Find the third derivative of w*m + 3*m**2 + 3*m**6 + 0*m - m**2 wrt m.\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725522?\nAnswer: 2, 7, 29, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -0.3, -4, -7\/22, -8, -2\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b + 7. Let y(w) = 13*w + 13. Give -5*c(o) + 2*y(o).\nAnswer: o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**5 + 96*t**4\/5 - 46*t**3 - 88*t**2\/5 + 408*t\/5 + 32 = 0.\nAnswer: -1, -2\/5, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -10, -4 = 2*x - 4*m - 6. Let y(t) = -t**3 - 3*t**2 - t + 2. Determine y(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 60*o**2 + 10*o + 17. Let h(g) = 63*g**2 + 13*g + 20. Calculate 6*c(k) - 5*h(k).\nAnswer: 45*k**2 - 5*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 0.1 (b) 5 (c) 12 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2199 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 4*n = 8. Let u(x) = x**3 - 5*x**2 - 6*x + 3. Let y be u(6). Let f be 40\/(-84) - (-1)\/y. Which is bigger: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1132 + -308. List the prime factors of x.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (37\/5)\/((-4)\/(-40)). Let s be (66\/55)\/((-3)\/f). What is the highest common factor of 42 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03287877 less than -1798?\nAnswer: -1797.96712123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n = -1003. Suppose 5*r = 3*y - n, -4*y + 4*r = -3*y - 339. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418*j**3 + 557 + 2365*j - 2357*j - 559.\nAnswer: 418*j**3 + 8*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5*a = -68, -2*a = 21*i - 42*i + 22*i + 26 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 0 + 10. Suppose 1 = g + k, -k = -g - g + b. Suppose a - g = -0, 5*s = 3*a + 74. Solve -2*w - s = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384*-0.15.\nAnswer: -57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 4. Let y = -2.8 + 0.79. Let m = y - -0.01. Which is the third smallest value? (a) z (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/2)\/u**(-8))\/(u**5*u**(1\/2)) assuming u is positive.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -126 - (-33 + 97)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rooo when four letters picked without replacement from {o: 8, r: 3}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-14 + -16 + 38)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 804802.9898 + -804678. Let g = 125 - i. Round g to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*k + 33*k = -152. Let l(m) = 2*m - 38. Let c be l(21). Sort k, -2, c in increasing order.\nAnswer: -2, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142 - 142.06. Let l = -2.981 - 0.079. Let p = l - d. Put 3, p, 3\/8 in decreasing order.\nAnswer: 3, 3\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*d. Suppose 4*x + 4*u + 216 = -0*x, -4*u - 12 = d. Let v = x - -96. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 1021111121210?\nAnswer: 1021111121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.7 + 30.7. Let g = z + -24. Let t = -0.3 - -0.3. What is the closest to t in g, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*p + p + 230 = 0, 5*l + 5*p = 1125. Suppose -3*d = -f - 2*d + 44, 5*f - l = 2*d. Suppose f + 142 = 4*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.083 times 3\nAnswer: -0.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.18 + -0.3. Let y = 38.36 - 32.1. Let f = y + -0.26. Is n equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 9) in base 10?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (390*l - 409*l - 696*l)*(-3*l + l**2 + 3*l).\nAnswer: -715*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from rorloorrlroalla.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*w - 4 + 287*w + 4.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 925040 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-3990)*19*-6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i. Suppose 4*o - u - 16 - 28 = 0, -u + 4 = i. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 1 - 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33643 + 33643.000089355. Round x to 6 dps.\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/522*225336\/(-46945).\nAnswer: -4\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.83 + 3.2. Let m = w + -0.438. Let q = m + 0.05. What is q rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 0. Let n be 6\/9*(-2)\/t. Let o = 2187 + -15307\/7. Which is the nearest to o? (a) 3 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(51)\/(sqrt(3)*-2 + sqrt(3)) + (sqrt(68) + 6*(1*sqrt(68) + sqrt(68) - sqrt(68)))\/sqrt(4).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 11:51 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 132*s**4 - 16145*s**3 + 930*s**2 + 68*s**5 + 70*s**2 - 20*s + 15321*s**3 - 376*s = 0 for s.\nAnswer: -5, 1\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-3906)*2666\/2.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5094510 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*v + 12 = -264*v - 2*c, -c = -24*v + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -2. Suppose -28 = 4*u + p. What are the prime factors of (-176)\/(-18) + (-2)\/u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17545 + -17449. Solve 839*k - 851*k = q for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, -5, 57, 4, -1, 27 in ascending order.\nAnswer: -5, -3, -1, 4, 13, 27, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42\/5 of a century?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 190\/(-16) - -5 - -7. Which is the nearest to q? (a) 11 (b) 3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 811437 and 330?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 14*b**2 + b - 10. Calculate the lowest common multiple of f(14) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2595866744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46777*d**4 + 14439 wrt d.\nAnswer: 187108*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 6:21 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, -18 in ascending order.\nAnswer: -18, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*q - 44. Let v be (-30)\/(-7) + 4\/q. Suppose 0 = -4*d - v*k + 56, -d + 3*k - 1 = 5. What is the remainder when 25 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 21*k**2\/2 - 64*k - 45. Let b be s(4). Solve 0 = 4*h - 3*h - 2*p + 5, -5*p + b = -4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7650)\/(-170)*3\/27\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 9 = -15. Let j be ((-2590)\/1325 - -2)*(-10)\/d. Is j > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 8 + 5 + -3 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*z - 111 - 46 = -17*z, -3*c + 4*z - 9*z = -25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 - ((-9252)\/(-927))\/1. Sort a, -5, 16.\nAnswer: -5, a, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + k - 24. Let y be g(-6). Suppose -4*a = y*a - 4930. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from kssaqkikqs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 143, 171, 199, 227, 255, 283?\n\"Answer: 28*d + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 9:01 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**3 + 9*b**2 + 21*b + 21. Let t = -22 - -21. Let l(x) = -x**3 - x - 1. Let y(m) = t*k(m) + 6*l(m). Find c such that y(c) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 203457214 and -3.\nAnswer: 203457211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -1 + 8 + 19 + -17.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17458 and 10.\nAnswer: 87290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-18) - (-139446)\/(-20709). Let b = t + 1\/3835. Let l = 62\/9 + b. Is 0 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6 - (-8270)\/3. Suppose 4*o - 224 = v. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-490)\/84))\/((-1)\/(2548\/42))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {o: 4, h: 2, a: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 8*s + 17. Let l be q(5). Sort -1, 3, l in descending order.\nAnswer: 3, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90395431?\nAnswer: 7, 89, 373, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/14 + (-513)\/(-266). What is the highest common divisor of 58 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 14, 44, 86, 140, 206?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -51, -84, -117, -150, -183?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**4\/6 + 3*n. Let x(w) = 4*w + 0*w - 2*w. Calculate x(m(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g**2 + g**2 - 3*g**2)*(g + 0 + 0) + (-310 + 310 + 2*g)*(-151 + 2*g**2 - 3*g**2 + 169) to the form l*g**3 + z*g + y*g**2 + j and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750640 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoaaaauokkuk. What is prob of sequence uk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0425182ug in tonnes?\nAnswer: 0.0000000000000425182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*v + 8, 0*v + 6 = -3*n - 4*v. What is the units digit of -3 + (3 - n)*19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*y + 4*k = -41*y + 23, y + k = 17. Is y <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 173, 296, 495, 770, 1121, 1548?\n\"Answer: 38*o**2 + 9*o + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 14) to base 9.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(10)\/sqrt(125).\nAnswer: -4 + sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5148486?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -6*j - 9. Calculate the remainder when 46 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 4*s**2 - 28*s + 9. Let u be o(6). Let h = -196 + u. Calculate the remainder when 7 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117295\/279 not equal to 420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 150 - 150.97. Let r = -0.03 + k. What is the third smallest value in r, 4\/9, -3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 2*k + k + 5*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 13\/102?\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*k**3 - 4*k**3 - 2*k**4 - k**3 - 57*k**2 - 3*k**3 + 3 in the form b*k + u*k**2 + p*k**4 + i + o*k**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4667 (base 10) to base 8\nAnswer: -11073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z. Let a(y) = 2*y. Let d(n) = 2*a(n) + 2*k(n). Let t(j) = 46*j. Determine t(d(u)).\nAnswer: 92*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1417, 5\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*p + 22*p + 18*p)*(-2*p - 3*p + 4*p) + (-7*p - 69 + 69)*(-3*p - 3*p + 3*p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccclcclcclcc. Give prob of sequence clc.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jje when three letters picked without replacement from {e: 1, j: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -880, -479, 188, 1121, 2320, 3785?\n\"Answer: 133*f**2 + 2*f - 1015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -8ba0?\nAnswer: -8b9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1387)\/380)\/(-73) + 25299\/20. What is the highest common factor of 1771 and s?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 times 2\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 10056?\nAnswer: -1\/2514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -117746.4 * -1\nAnswer: 117746.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29975963261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/((-1425)\/(-76))*(-7)\/(28\/(-120))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40645089487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1290 and -73\/120.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 150\/55 - (-60)\/220. Which is the nearest to n? (a) 3 (b) -8 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2879406 times 22?\nAnswer: 63346932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1 - 2*d**2 - d**3 + 3*d**2 - 2*d**3 + 9 + d. What is the units digit of s(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 5*c - 2*c)*(4 - 6 + 4) + c - 2 + 2 + 2 - 42*c + 239*c + 398*c.\nAnswer: 600*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-10 - -47) + (17 - -4).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3373.451km to millimeters.\nAnswer: 3373451000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 307, 312, 321, 334?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 702933351 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k + 59396*k**3 + 9*k - 59395*k**3 - 21*k + 4*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1199026 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 64*m + 416. What is y(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 8. Let j be g(11). Suppose -z = -2*u - 3*u + j, -3*z + 5*u = -21. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375\/11 - (-2)\/4*2 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2229 and (0 + 1)*-6 + 3\/(72\/(-14)).\nAnswer: 8916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 7:20 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*k - 10, -3*w + 3*k - 1 + 4 = 0. Suppose h - w = 2. Suppose -m - 4*n = -13, 2*m + n = -m + h. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 552 - 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/2 and -67\/1560.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -4 + -48 - -39\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6e4a9 - -21?\nAnswer: 6e4ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -73036005 + 27.2?\nAnswer: -73035977.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32292383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -161, -134, -87, -14, 91?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i\/((i*i**(-3\/4))\/i))\/i)*i*i**(-4)\/i*(i*i\/i**(-2\/5)*i)**(-27)*(i**3*i**(-1\/3))\/(i**5*(i*i*i**(-2\/9))\/i) assuming i is positive.\nAnswer: i**(-17759\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 13050.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -232123233111 (base 4) to base 15\nAnswer: -11068d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 309061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54800470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/9 (b) 2\/15 (c) 2704 (d) -0.2 (e) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a micrometer in nanometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*a*l*t**3 - 2*a*l*t**2*x - a*l*t*x - 9*a*x + 2*a - 25*l*t**3*x + 50*l*t**2*x - 37*t**3*x wrt t.\nAnswer: -48*a*l - 150*l*x - 222*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 - t**3 + 0*t**3)*(0*t**2 + 0*t**2 + 3*t**2)*(3 + 4 - 2).\nAnswer: -45*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-7)*y\/y**(-9))**6 assuming y is positive.\nAnswer: y**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2989.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -667881118 - -667881079.9999877. Let i = -38 - g. Round i to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/6283 and -95\/2.\nAnswer: 12566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(180) + (sqrt(180) + 0)**2*6 + 2 + 5).\nAnswer: 6*sqrt(5) + 1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from {k: 4, m: 1, g: 12, c: 2}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/6)\/c**(-1)*(c*c**0\/c)**35)**(-44) assuming c is positive.\nAnswer: c**(-154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(192) - (sqrt(192) + 1*sqrt(192)))**2*-2 - ((sqrt(243) + -1)**2 - (2 + sqrt(3) + -4)).\nAnswer: -631 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3708*g + 1838*g + 988 = -1818*g for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-30209 + 30230)*2\/(-54)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 2108696.\nAnswer: 8434784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*i**2 - 8*i - 12*i**2 + i**3 to the form r + x*i**3 + j*i + c*i**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005499493 a multiple of 3307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: What is 446 minutes after 6:36 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v - 64. Let s be q(22). Let g be (78\/(-4))\/((-1)\/s). What is the greatest common factor of 104 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3478 times -75972\nAnswer: -26423.0616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 3 - ((-65650)\/(-858))\/(-25).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 0*j**3 + 0*j**3 + j**3 - 4*j**3 + 4*j**3 + (j**2 - j**2 + 2*j**2)*(-4*j + j + j) + 0*j**3 + j**3 - 3*j**3)*(-10*j + 19 - 8 - 12)*(2*j + 1 - 1).\nAnswer: 60*j**5 + 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**2\/2 - i + 1. Let x be s(-5). Suppose 0 = -x*l - 12, 2*c - 6*l = -2*l + 238. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -x + 3, -28*r + 5*x = -30*r - 12. Let j(b) be the second derivative of b**3\/3 - 17*b**2\/2 - 5*b. Determine j(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36449223\/5 or -7289846?\nAnswer: -36449223\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/460 and 65\/18.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c + 8. Let s be v(-2). Let d(z) = -z**2 - 7*z - 7. Let h(u) = u**2 + 6*u + 6. Determine s*d(k) - 7*h(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -14*f + 2. Let w be r(-2). Let s = w + -241\/8. Which is the second biggest value? (a) s (b) 2\/9 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, 0.946, 5, 0.4, -37\/5, 2\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 668762 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(4\/9)*d*d)\/d**4)\/((d\/(d*d**(-1\/8))*d*d)\/(d*(d**(-3)*d)\/d*d)))\/(((d**2\/d*d)\/d*d**(2\/3)\/d)\/(d**(-1))**23) assuming d is positive.\nAnswer: d**(-2033\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 667814 rounded to the nearest ten thousand?\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5623611 to the power of 1\/2, to the nearest integer?\nAnswer: 2371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10591569?\nAnswer: 3, 19, 23, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*u**5 + 737*u**4 - 36745*u**2 wrt u?\nAnswer: 780*u**2 + 17688*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 600368 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 267 - 7. Let j = w - -146. What is the remainder when j is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 0*p**4 + 0*p**6 + 0*p**3 - 7\/20*p**5 + 31\/210*p**7 + 0*p - 4*p**2 + 0. Find the third derivative of l(m) wrt m.\nAnswer: 744*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m. Let v(n) be the third derivative of n**6\/360 - n**4\/3 + n**3\/3 + n**2. Let s(o) be the first derivative of v(o). Determine s(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357 - 29*u + 162 + 195.\nAnswer: -29*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25006?\nAnswer: 2, 12503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjgg when four letters picked without replacement from {g: 8, j: 5, y: 4}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**4\/r)\/r*r**(-1\/3)*r)\/(r**(-2))**(-12\/7)*(r**(2\/9)*r**4)\/(r**(-2)\/r**(-1\/15)) assuming r is positive.\nAnswer: r**(1699\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**2 - 5*v**2 + 0*v**2)*(-25 + 0 - 18 + (3 - 6 + 2)*(0 - 4 + 3) - 5 + 4 - 1 - 3 + 3 + 1)*(2 - 1 + 0) to o + x*v**2 + b*v and give x.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 5:33 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((8\/(-8))\/(-1 + 2)). Suppose 2*u - 3*u = 3*i + 6, i + 28 = 4*u. Let c be 8\/u + 1\/(-3). Sort -5, g, c in decreasing order.\nAnswer: c, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/((42\/(-20) + 2)*-6). Suppose -4*r + k = -2*k - 63, -k + 93 = f*r. What is the third derivative of 2*o**4 + 15*o**2 + 2*o**2 - 5*o**4 + r*o**4 wrt o?\nAnswer: 360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 332 - 657 - d**4 + 21*d**3 + 3*d + 323 - d**2 to the form w*d + v + o*d**3 + j*d**4 + z*d**2 and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(7920))\/sqrt(5).\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51359 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i**3 - 7*i**2 - 3*i + 3. Let r be v(6). Does 8 divide 2\/6 + r\/(-63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58585740770 to the nearest one million.\nAnswer: 58586000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 0 + (-3)\/(-3) + 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**2 + l - 13. Let r(p) = 11*p**2 - 2*p + 27. Let j(t) = -13*a(t) - 6*r(t). Calculate j(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 7*n - 36, -3*n = -2*n - 5*x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - w**2 + w. Let b = -4 + -1. Let d(y) = -y + 7. Let s(g) = -g + 5. Let a(z) = b*d(z) + 7*s(z). What is v(a(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02421 to 3 decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 8 - (56 - 59).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 17, 43, 91, 167, 277, 427?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 114 and 0.48 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.01408t in kilograms?\nAnswer: 90014.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187893456?\nAnswer: 2, 3, 757, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 190 and 189 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 15720447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 2*o**2 - 2*o**2)*(3*o - 5*o + 3*o + (-1 - 1 + 4)*(2*o + 3*o - 6*o)).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 208\/(-65)*(15\/9)\/(7\/(-21))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/25 or -9.17987?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 727 - 2207 + 731 + 749.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8372.308l to millilitres.\nAnswer: 8372308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 12\/5*c**2 - 6\/5*c**3 + 2\/5*c**4 + 16\/5*c.\nAnswer: 2*c*(c - 4)*(c - 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2787 - -1?\nAnswer: -2786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96948, -96821, -96610, -96315, -95936?\nAnswer: -95473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 5*r**8\/336 - 59*r**7\/21 - 15*r**6 - 181*r**5\/6 - 605*r**4\/24 - 69*r**2 + 4*r. Let i(c) = 0. Calculate c.\nAnswer: -1, 0, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -204, -162, -108, -54, -12, 6?\n\"Answer: -2*u**3 + 18*u**2 + 2*u - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -13*n - 102. Let b be r(-8). Let t(q) = -2*q**3 + 3*q - 1. Give t(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*q + 5304 = -192*q + 108*q for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**3 + 7*z**2 - 7*z + 3. Let d(c) = -4*c**3 - 4*c**2 + 4*c - 2. Let r(f) = 3*a(f) + 5*d(f). Determine r(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p - 1. Suppose 4*x + 31 - 12 - 39 = 0. Let m(w) = 18*w + 3. What is x*k(z) + 2*m(z)?\nAnswer: -9*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6516*p**3 + 0*p**2 + 0*p**2 + 5675*p**3 - p**2 to the form x*p + i + m*p**3 + a*p**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52162496?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542*a**2 - 6*a**3 + 551*a**2 - 1093*a**2.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4445\/1905 - 2\/(-4)*296\/(-66).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200001113 (base 4) in base 9?\nAnswer: 218822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 3*b - 10. Let u be p(7). Let v = 8 + 4. What is the highest common factor of u and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - m**2 - 1. Let u be 1 + 16\/(-4) + 2. Let a(s) = -7*s**3 + 4*s**2 - 11*s - 8. Let n(i) = u*a(i) + 6*y(i). What is the units digit of n(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 91179 = b, -112*b + 109*b - 5*a = 273551. Let o be ((-34365)\/(-10))\/((-2)\/76). Let p = b - o. Round p to the nearest one thousand.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*r**3 - 2*r - 58 wrt r?\nAnswer: 66*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3604, -7393, -11186, -14983?\nAnswer: -18784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 1069*z + 4229. Is 6 a factor of p(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -2152*n**7\/7 - 126*n**3 + 3*n - 2982. What is the third derivative of j(d) wrt d?\nAnswer: -258240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35964 is divided by 62.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 6*g + 9. Let h(z) = -2*z**2 + 13*z + 19. Let x(l) = -6*h(l) + 13*r(l). Let u be x(0). Solve 0 = u*y + 5 - 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119436113 is divided by 69.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1301 + -4?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/420 and -44\/5?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -2, 31128 in decreasing order.\nAnswer: 31128, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 13*y + 8. Calculate the remainder when o(-20) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/189 and 45\/77.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -41851.\nAnswer: -38\/41851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -507.3996?\nAnswer: 2029.5984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(192)*1*-4 + sqrt(192) + -3 - ((-1*sqrt(192) + -5)*-1*-2)**2)*3.\nAnswer: -2616 - 1032*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 3.586?\nAnswer: -10.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1383096 divided by -1383096?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*u = 1, -5*m + 0*u + 20 = -u. Calculate the remainder when 42 is divided by m\/(-9*(-4)\/132).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2074 by 61.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**4 + y**3 - y**2 + y - 1. Let f(m) = m**4 - 4*m**3 + 4*m**2 - 4*m + 33. Let p(z) = -4*d(z) - f(z). Find the first derivative of p(c) wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 64c?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 z, and 1 n when three letters picked without replacement from {w: 1, u: 1, n: 1, z: 2, c: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1023*o - 8879. Determine h(6).\nAnswer: -2741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**5 - 696*h**4 + 3807*h**3 - 29128*h**2 - 258*h.\nAnswer: 120*h**2 - 16704*h + 22842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25008 by -3.\nAnswer: -8336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0\/2 + 236\/16 + -3 and 81\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11295c (base 14) in base 3?\nAnswer: 1002122111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3553.0010459 + -3553. What is x rounded to five dps?\nAnswer: 0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -340.84 - -344. Let v = b + -6.16. Is -1 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3991.447ml to litres.\nAnswer: 3.991447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 10:14 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3 - 1) + -2 + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 179*o - 14 - 478. Solve -o*n + 10 - 4 = 5*i, -n + 2*i + 8 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:19 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, i: 8}. Give prob of picking 4 i.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvcwwyccgwc. Give prob of picking 3 w.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**4\/4 - m**3\/2 + m\/2 - 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62543496 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/12 - -2) + 1\/(-3). Factor 0 + 1\/4*f**3 + 0*f**2 + 1\/4*f**5 + 0*f + s*f**4.\nAnswer: f**3*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - f + 27 = 24795*q - 24800*q, 5*q + 5*f = -35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*y - 34 = -f, 0 = 2*f + y - 16. Calculate the lowest common multiple of f and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + -6a26?\nAnswer: -6a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 - 102 = -5*w. Let z be (1\/4)\/((-15)\/w). Which is the biggest value? (a) 1\/4 (b) z (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*i - 302*i**2 + 43*i - 153*i**2 + 454*i**2 + 47*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 31124, -0.2, 0.4 in decreasing order.\nAnswer: 31124, 1, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*t = -2*y + 13, -5*y + 5*t = -25. Let q(g) = g**2 + g - 6 - 4*g + 3. List the prime factors of q(y).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 4. Let x be ((-1)\/3 - -1)\/(26\/1443). Let t(k) = k - 47. Let r be t(x). Give m(r).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-846)\/(-42) + (-1)\/7. Solve 30*c = 34*c + z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**12\/(r**9\/(r\/(r\/((r*r**6)\/r)))) assuming r is positive.\nAnswer: r**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34127 - 34127 + 4*a - 2*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*(sqrt(625) + 5*2*sqrt(625) + sqrt(625))\/(sqrt(245) - ((-2*sqrt(245) - sqrt(245)) + sqrt(245))*3).\nAnswer: -1 + 300*sqrt(5)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(3 - (-1 + 6)). Let r(u) = -168286*u - 28. Let j be r(s). What is j rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11578 + 4126. Is -0.2 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 2:23 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0*z + 2*z - 1)*(7 - 3 - 2).\nAnswer: 4*z + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (18\/4)\/(((-150)\/8)\/(-5))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/7 - 30*b**2.\nAnswer: 2*b**2*(b - 105)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -19 + (1 - -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - 43*q - 11. Let x(b) = b**2 - 20*b - 5. Let k(i) = -3*t(i) + 7*x(i). Determine k(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**3\/6 - 19*v. Let m(o) = 18*o. Determine m(p(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1748122 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -135 + 162. Suppose -14*d = -u*d + 52. Solve d + 5 = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s - 21. Suppose -77*a = 303 + 544. Let h(t) = t + 4. Give a*h(u) - 2*g(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 439 divided by -111\nAnswer: -439\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 3*q**2 + 2. Suppose 2*w + g = 6*w + 16, 3*g + 16 = -4*w. Let m be (w - -3)\/(1\/3). Let f be b(m). Solve 0*o = f*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -409, -2 in ascending order.\nAnswer: -409, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6209, 12057, 17803, 23447, 28989, 34429?\n\"Answer: -51*f**2 + 6001*f + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 113)*6\/(-12). Let g = y - -144. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n, 2*z = z - 5*n + 2. Suppose 230 = 5*y + 5*f, 2*y = -z*y - 2*f + 174. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 470730 by 1207.\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -546*j**5 - 84*j**2?\nAnswer: -32760*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 316 + 169. Suppose -5*q - 12 = -n. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 2, 1, 531, -8.\nAnswer: -40, -8, 1, 2, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24\/34*(-1437)\/(-958)\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -16*u**7\/105 - 3*u**5\/10 - 857*u**4\/24 - 3012*u**2. Find the second derivative of p(a) wrt a.\nAnswer: -384*a**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43642164287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 5*f**4\/12 - f**3\/6 - 12*f**2. Determine l(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 116 - 232 = -r, 82 = h - r. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -20. What is the least common multiple of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-78)*-13*(-1)\/3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(2 - (-15)\/(-7)). Suppose 3*h - d = 4*h. Let q be (-33)\/h + 2\/7. Solve 10 = 5*u - q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 7*h + 4 = -3*h, -h - 8 = -2*d. Let p = 10 + -6. Suppose -713 - d = -p*x. List the prime factors of x.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 2. Let y be v(2). Suppose 0 = -6*n + 12*n - 1944000. Suppose -14*m + 16*m + n = y. Round m to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29462, 29146, 28618, 27878?\n\"Answer: -106*m**2 + 2*m + 29566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*r - 173*r = -65*r + 2*r - 20128 for r.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2661 + 4562 = g. Suppose 208*y + g = 209*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 19 = 6*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 2*d + 20. Let z be u(-3). Let o = 54 + z. What is the highest common divisor of 322 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*c - 8*c - 22704 = 53*c + 153*c for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -5.8. Suppose 0 = -4*w - s + 20 + 1, 0 = -5*s + 25. Let u = -548\/21 + 80\/3. What is the closest to 1 in w, k, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((3 + -3)*-1)\/(-3 - -2). Let w be r + -51 + 1 - (-2)\/(-2). Let h = 54 + w. Solve h*z + s = z + 5, s = 5*z - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 2*z + 6. Calculate s(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*g + 0*g**3 - 20 + 9*g**3 + 52*g**2 - 8*g**3.\nAnswer: g**3 + 52*g**2 - 394*g - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1302 = 6*l - 1278. Sort l, 1.19, 2\/9 in ascending order.\nAnswer: l, 2\/9, 1.19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**5 - 9*a**4 + 13*a**3 + 45*a**2 - 50*a = 0.\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31)\/(-3) + 4\/6 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 19 = 2*c + 5*t, 3*c - 4*t = -11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -2, -242, 1, -631 in increasing order.\nAnswer: -631, -242, -5, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and (70\/(-4))\/7 + (-413)\/(-14)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-2 + 1 - 0) + 12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 0*k**3 + 2*k**3 - 3*k**4 + 2*k**2 - 5*k**3 + 2*k**3 + 24*k to the form r*k**4 + f*k**2 + d*k + m*k**3 + j and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -325235*h + 325231*h - 8, 3*h - 4 = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1309 - -1584. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 41*y**2 - 26*y + 139. Let i be x(20). Suppose -24*p - i = -5*p. What is the closest to p in 0.5, -1, 0.13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2317*l + 71119. What is p(-31)?\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 234176409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q + 5*y - 60 = 0, 3*q + 1423 = 17*y + 1219 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 9\/(-1) + (-6 - -9). Let z(h) = -152*h + 23. Is z(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.69777 and -0.2?\nAnswer: -0.139554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, c: 7, u: 2}. Give prob of picking 3 c.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -18, 357, 3, 5, -42 in decreasing order.\nAnswer: 357, 5, 3, 2, -1, -18, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-35)*5*(-70)\/160\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 8:34 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 15 (b) -6 (c) -38.9 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 40*r = -17*r + 1324510. What is the thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x - 15 = 3*m, 3*x - 4*m + 43 = 0. Let a(o) = 4 - 17*o - 11*o + 4 - 16*o - 12*o**2 + 45*o. Let f(n) = 3*n**2 - 2. Calculate x*f(w) - 2*a(w).\nAnswer: -3*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004203163587 to 6 dps.\nAnswer: -0.004203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(3\/13))**(2\/47))**(11\/7))**(-11))**(-4) assuming q is positive.\nAnswer: q**(15488\/4277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 893312 and 128.\nAnswer: 893312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 917.\nAnswer: 5\/917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743 is divided by 183?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 27, 40, 45?\n\"Answer: -4*s**2 + 33*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12031203330223 + 11?\nAnswer: -12031203330212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4425 + 6104. List the prime factors of u.\nAnswer: 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1089\/5, -4, 9\/68?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2091 - -2269. What is the highest common factor of 4 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4))**(-2)*(l**(-1\/3))**(1\/56)*((l*l\/l**(-1\/3))**(-48))**(-38) assuming l is positive.\nAnswer: l**(715091\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59087\/170 + -1748\/5. Find the common denominator of s and -63\/10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/12966 and 13\/587792.\nAnswer: 1763376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - u**2 + 12*u + 23. Determine s(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 21 + 15. Let t = 741\/580 + -4\/145. What is the nearest to 0 in t, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17020 and 2294?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -722 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 21. Let q = -6 + r. Is ((-520)\/(-4))\/q + 3 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-126))\/(4\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 57\/11 - (-18)\/(-99). Let j = n - 3. Suppose j*w - 5*w + 87 = 0. Calculate the remainder when w is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/12 and 67\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372 - 8374*x - 426 + x**2 + 804.\nAnswer: x**2 - 8374*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 - 561*m**3 + 0*m + 6*m**2 - m**4 - 4*m**2 - 2 + 573*m**3 + m in the form i*m**3 + r*m**4 + l*m**2 + z*m + v and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6576)\/(-10))\/(-20 - -21). Let w = h + -658. Put 5, w, -1, 7 in increasing order.\nAnswer: -1, w, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1*(-33)\/(-6)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88139\/263758 - -7\/1262. Let b = p - 3\/19. What is the closest to 0.4 in 0.1, -3\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6240 and 3615456?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00030887974 rounded to 7 dps?\nAnswer: -0.0003089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 + 102762*b**2 - 21*b**3 + b**4 - 102761*b**2 + 19*b to the form p + a*b + z*b**2 + r*b**3 + n*b**4 and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**3*z + 2*a**2*z + a*z**2 + 401*z**2 wrt a.\nAnswer: -3*a**2*z + 4*a*z + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 p, and 1 o when three letters picked without replacement from {y: 4, t: 2, p: 7, o: 2, m: 2}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**8\/10080 - g**7\/840 + g**5\/10 + 6*g**2. Let o(j) be the third derivative of z(j). Factor o(h).\nAnswer: -2*h*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 2*r = 10*w - 2, 7*w - 5*r - 23 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7374\/19 + -388. Let b be 56\/10 - (-6)\/15. Let z(t) = t - 7. Let s be z(b). Is a at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -70*q + 92*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Let m(w) = -3*w + 2. Let q(o) = -7*o + 4. Let y(h) = -5*m(h) + 3*q(h). What is u(y(x))?\nAnswer: 6*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 344*s**2 - 2880*s.\nAnswer: 2*s*(s - 8)*(s + 180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-56)\/6 - (-2)\/(-3). Let j(x) = 0*x**2 - 2*x**3 - 13 + 5*x - 9*x**2 + x**3. Is j(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2524*u = -29544 - 48700 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(4 + ((1*sqrt(180) + sqrt(180))**2 + sqrt(180))*-4) + 3.\nAnswer: 24*sqrt(5) + 2874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6486656 and 2112?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 1. Is 86*j*2\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**7\/30 + 3*k**3 - k**2 + 42. Differentiate d(o) wrt o.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, 114, -2, 4, 12, 5, 2 in descending order.\nAnswer: 114, 12, 5, 4, 2, -2, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -820988*j**5 - j**3 + j**2 - 2765580*j wrt j?\nAnswer: -49259280*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(119) - (sqrt(119) + sqrt(119)*-3)))\/sqrt(7).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/13)*r**(-5))\/(r\/((r*r*r\/(r*r\/(r**(-1\/5)*r)*r*r))\/r)*r**(1\/6)) assuming r is positive.\nAnswer: r**(-2813\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - 2*z**2 + 27*z. Determine o(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32890?\nAnswer: 2, 5, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/9)*h*h**(-1\/3))**(-7)\/((h*h\/(h**(-1\/2)*h)*h*h*h*h)**(-50))**30 assuming h is positive.\nAnswer: h**(74215\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9450 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 13*y**3 - 13*y. Let c(n) = -12*n**3 + 14*n. Let x(b) = -2*c(b) - 3*l(b). Find the second derivative of x(s) wrt s.\nAnswer: -90*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -109 (b) -3 (c) 2 (d) 0.3 (e) 2\/3 (f) -2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5348*i**4 + 7*i**3 - 21*i - 3987. Let y(g) = -2673*g**4 + 4*g**3 - 12*g - 1993. Let h(b) = 4*c(b) - 7*y(b). Differentiate h(r) wrt r.\nAnswer: -10724*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-2)*(44\/(-12) - 3). Calculate the greatest common factor of 40 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 9, -1102 in descending order.\nAnswer: 9, 2\/7, -1102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 18792?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 2*a**4\/3 + a**2\/2 + 2*a. Let b(g) = -2*g + 9. Let v = 39 + -35. Let k be b(v). Give s(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-1)\/((-1)\/2). Let m(s) = s. Let w(y) = -y**2 + 4*y - 3. Let n(f) = 5*m(f) - w(f). List the prime factors of n(u).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*m + 5787029*m**3 - 5787027*m**3 + 2*m**2 - 4*m**2 in the form z*m + w*m**3 + y*m**2 + t and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149702?\nAnswer: 2, 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (1 + -4) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.1, -69, -0.095?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*q**5 - 10050051*q**4 - 1683117696534*q**3 + 91920536132922*q**2 - 1281939248384523*q + 736435710747801 = 0. What is q?\nAnswer: -335029, 3\/5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 + 138. Let o be ((-4)\/(-6))\/((f\/54)\/25). Solve 2*c - 10 = -4*b + o, 2*b - 2*c = 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 559551384 and 41790.\nAnswer: 8358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61396.66ug to grams.\nAnswer: 0.06139666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*v + 18, -u - 2*u = -3*v + 12. Suppose 6*i + 4 = v*i. Which is the third smallest value? (a) i (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/10 + (-2)\/(-4)*0. Solve -4*s + 5 = z*h, -4*h = -4*s - 0*s + 32 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**11*z**(-17) assuming z is positive.\nAnswer: z**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 96\/(1\/(-2) - 0). Find the common denominator of 151\/12 and 1 + (4\/n)\/(2\/308).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -817*z**3 + 1637*z**3 - 821*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbibifbbububb. Give prob of sequence ufub.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**2. Let c(h) = -5*h**2 + 2*h + 1. Let j(l) = 44*l**2 - 18*l - 23. Let a(q) = -18*c(q) - 2*j(q). Determine a(o(r)).\nAnswer: 50*r**4 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -500 - -13493\/27. Let q = u - -157\/189. Let w = 0.4 + -2.4. Which is the nearest to 1? (a) q (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 greater than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -434 + -4043124301?\nAnswer: -4043130240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.6372304 centimeters?\nAnswer: 6.372304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5*150*(1 + 1). Let c = -103 - s. What is the remainder when 61 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2703590 times -4?\nAnswer: 10814360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 10*v**2 + 10*v - 10. Let n be x(-11). Let m = -10 - -7. Sort m, 3, n in increasing order.\nAnswer: m, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-4 + 0 + 3)*(3534 + 2*n + n - 3492).\nAnswer: 3*n + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, -3, -2 in decreasing order.\nAnswer: 2\/25, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 = m. What is the lowest common multiple of 40*(-2 + (-10)\/(-4)) and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1122*y**2 - 31*y - 887*y**3 + 31*y - 765 + 763 wrt y.\nAnswer: -5322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) -4 (c) -0.5 (d) -533813 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, v: 2}. What is prob of sequence ddvd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0*i + 0*i)*(i - 3*i + 0*i) + (-i - i + 4*i)*(-3*i + 4*i - 3*i) - 6*i**2 + 0*i**2 + 3*i**2 - 3*i**2 + 0*i + 0*i.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387, 445, 503, 561?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*z - 13 - 369 = 90 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -508 < -494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 0*i**3 - 1\/24*i**4 - 1\/240*i**6 + 0*i - 3\/2*i**2 - 2 - 1\/40*i**5. Let y(d) be the second derivative of x(d). Factor y(k).\nAnswer: -k*(k + 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56713 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeee. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 4*s - 3*s**2 - 3*s)*(-5 - 5 + 0).\nAnswer: 20*s**2 - 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*r - 325, -2*r - 3*n + 4*n = -208. What is the highest common factor of 42 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/4 - 64283*z**4\/4 + 64280*z**3 - 64279*z**2.\nAnswer: z**2*(z - 64279)*(z - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (215\/860)\/(1 - 12)?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77403 divided by 3.\nAnswer: 25801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 60. Let d be 2*(2 - 13) + -1. Let f = d - z. Solve f = -j - 5*h - 21, -4*h - 11 = -2*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 - 2*z**3 + 3*z**3 - z**2 + z**3 + z**2 + (2*z**2 - 3*z**2 - z**2)*(-2 + 2*z + 2) + 0*z**2 + 0*z**2 - 2*z**3 + (6*z**2 - 11 + 11)*(3*z + z + 4*z).\nAnswer: 41*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 2, -0.1, 2\/87?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 731 - 712.9. Let a = 17.1 - q. Let o(k) = k**2 - 6*k + 6. Let i be o(5). What is the second smallest value in -2, a, 2, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20190021*z**4 - 10625412*z**2?\nAnswer: 484560504*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -2*n - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j - 5*m + 17 = -12*j, 4*j - 10 = 2*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 1 = 4*q + a, -q - 4*a = 19 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g - 66*g - 3503 = -38657. Calculate the remainder when g is divided by 39.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1\/4 (c) -134 (d) -0.3 (e) -5 (f) -0.45 (g) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o + 2. Let g be f(3). Let w = -127 - -130. Suppose w*k - 47 + g = 0. Calculate the smallest common multiple of k and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 2\/11, 0.1, -58413?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/(-1))\/(228\/231 - 1).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 + 1.33. Let q = h - 0.73. Let z = -0.5 - q. Which is the closest to -1? (a) z (b) -1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20554085?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 145832 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + l**2 - 20. Let x be f(0). Suppose -3*t - 12 = 0, 14*o - 9*o - 2*t + 77 = 0. Let g = x - o. Put -5, g, 1 in decreasing order.\nAnswer: 1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(500) - (sqrt(500) - (sqrt(500) + sqrt(500) + -1)*1))**2 + (sqrt(500) - -2*sqrt(500)*1) + sqrt(500))*-5 - (-1 + (sqrt(500) + 1)*1*-5)).\nAnswer: -10002 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 601, -3, -181 in ascending order.\nAnswer: -181, -3, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x - 2. Does 17 divide a(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 16) in base 5?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 10:56 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*s**3 - 28*s**3 + 8*s**4)*(2*s + 3*s + 811 - 808 + 3*s).\nAnswer: 64*s**5 + 24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148984?\nAnswer: 2, 11, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 172.4 + -193. Let b = 2.6 + u. Let x = -17.99944 - b. Round x to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11295681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1486334005 - 4?\nAnswer: 1486334001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 266453 - 102664 = 0. Suppose 0 = c + g + 24611, -4*g + g = -5*c - l. Is ((-2)\/(-6))\/((-13)\/c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + -4 + -2 - -1. Is (4 - 12)\/(p\/12) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1 + 5 = -3*f, 3*g = -f. Let b(a) = 2*a. Let c be b(g). Let s(p) = -p**2 - p. Let x(m) = 5*m**2 + 6*m. Let z(j) = -6*s(j) - x(j). Determine z(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33414 divided by -5569?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 14. Suppose -2*w - 24 = -5*w. Suppose 8 + w = r*n. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 0.6, 94?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/12))**(-42)*(f\/((f*f*f\/f**(-9))\/f))\/f**(-10) assuming f is positive.\nAnswer: f**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4243219?\nAnswer: 4243219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20723 by 380.\nAnswer: -20723\/380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, z: 2, k: 3}. Give prob of picking 2 q, 1 k, and 1 z.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -7*k**3\/6 + k**2\/2 - k. Let p(o) = o**2 + 3*o - 11. Let f be p(-5). What is q(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/57 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 13) to base 8.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -2 (b) 0.2 (c) -0.21 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/199 + -593\/398. Which is the second smallest value? (a) -1\/10 (b) w (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1871292*r**2 - 319494*r?\nAnswer: 3742584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1327905 centuries to years.\nAnswer: 13.27905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75535 - 454207\/6. Let c = v + 653\/4. Calculate the common denominator of 109\/40 and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 1502?\nAnswer: 28538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = -r, -3*d = -d + 4*r - 8. Suppose 5*p = -d*p + 20. Let n = 0 - 0. Solve 3*g + n*m = -5*m - 16, -p = 3*g - m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505320063 > 505320063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1162 - -1158. Let w(k) = -k**2 - 1 + 0 - 4 + 4 - 4*k. Determine w(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**7\/35 + 3*j**3 - 8*j**2 + 12*j. Let p(v) be the first derivative of w(v). What is the first derivative of p(z) wrt z?\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -369\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/160 and -3\/128.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0195181 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -116722567 from 0.05.\nAnswer: 116722567.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 10*b + 10. Suppose -19*m = -1093 + 200. Suppose 0 = 12*a + 37 + m. What is w(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 469442 from -3.\nAnswer: -469445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 11 = -1. Suppose -4*g - 169 = -5*q, -127 = -t*q + 4*g - 8*g. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**0)**(-2\/69)\/(z*z**9*(z\/z**(2\/65))\/z*z*z) assuming z is positive.\nAnswer: z**(-53812\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -3*p**5\/50 - 2*p**4\/15 + 13*p**3\/15 - 6*p**2\/5 + p - 5. Solve s(x) = 0 for x.\nAnswer: -3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35395.\nAnswer: 5, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + 1. Suppose 0 = 4*m - 12, 2*t = 3*m + 181 + l. Suppose 0 = a + q - 43, -2*q + 198 = 3*a + 72. What is the greatest common divisor of t and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4399*p + 4396*p = -r + 7, 7 = 2*p + r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w + 1. Let k = -3 + 1. Let n be b(k). Let j be (-9)\/(-3)*6\/36. What is the nearest to j in 0.4, 1, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -17\/1083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.25 - 1.5. Let w = x - -0.95. Let s = w + 1.8. Which is the second smallest value? (a) s (b) 1 (c) -2\/11 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 + 7*c**3 + 1369*c**4 + 41*c + 168*c + 115*c - 1370*c**4 - 2*c**3 - 1 in the form o*c**4 + y + z*c**2 + r*c**3 + s*c and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9607850 divided by 485?\nAnswer: -19810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -368383? (a) 2\/3 (b) 28\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 37*p**2 + 50347 - 50347 + 0*p**2. Let x(r) = -5*r**2. Give z(x(f)).\nAnswer: 925*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 358 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-nine halves of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69299, 277075, 623327, 1108055, 1731259?\nAnswer: 2492939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 4:17 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, -4, 101, -2, 1 in descending order.\nAnswer: 101, 1, -2, -4, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**3 - 12*y**2 + 308*y.\nAnswer: -4*y*(y + 7)*(2*y - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3\/5 + 3269628*i**2\/5 - 44464860*i + 3779454144\/5 = 0. What is i?\nAnswer: 34, 1089808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*o**3*q**6 - 4*o**3 + 11*o**2*q**2 - 4*o**2 + 192*o*q**6 wrt q?\nAnswer: 1800*o**3*q**3 + 23040*o*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 5*n - 3*i, 6*n - 2*n + 26 = -2*i. Let z(o) = 8*o**2 + 11*o - 9. What is the hundreds digit of z(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3048, 3054, 3060?\nAnswer: 3066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 73. Suppose -3*g = 2*a + 2*a - 263, 0 = g + 5*a - r. What are the prime factors of g?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178 + -103. Let d(x) = -x**2 - 23*x + 11. Let a be d(-18). Suppose a*c - 98*c - 90 = 0. What is the greatest common factor of f and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3*(9 + -3). Suppose -p*x + 2*x = -22. Let f = 14 - x. Which is bigger: -3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.00901\nAnswer: 0.02703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -269 + 442. Suppose 5*i - 27 = z. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1037891 and -87\/75422.\nAnswer: 1820460814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31, -62, -87, -106, -119, -126, -127?\n\"Answer: 3*v**2 - 40*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 9 = -5*l, -5*l + 8 = 3*x + 32 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, 63, 220, -3, 5.\nAnswer: -12, -3, -2, 5, 63, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -1. Suppose x - 3*r - 10 = 0, 12 = -4*x + 2*r + 32. Calculate the smallest common multiple of x and 1 - -1 - m\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -14)\/((-3)\/(-13)). Suppose -4*p = 2*w - 732, -4*w + o - 266 = -p. Calculate the remainder when p is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (2104\/72 - 29)\/(-2 + (-1353)\/(-675))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -26b?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.2 (b) 4 (c) 0.06 (d) -1.84022 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/(-7))\/((-2)\/154) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**3 - 7*h**2 - 4*h - 3. Let n be z(-5). Round n to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 - 6 - 6 + 21 - 9.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*v + 45*v + 345. What are the prime factors of v?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -17*x**2 - 690*x - 518. Calculate y(-44).\nAnswer: -3070","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 25\/(-50)*54\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 1379798\nAnswer: 1379798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 67, -6\/7, -0.3, -280?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -468 - -3.5?\nAnswer: -464.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-106)\/(-120) - (-2)\/(-6). Let b = -1\/20 + n. What is the nearest to 1\/3 in b, -0.4, -1\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22657 is divided by 952.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, x: 1, c: 5, d: 2, o: 1, w: 1}. Give prob of sequence dhho.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3144 + -3323.1. Let h = d + 179.12879. Let c = 0.029 - h. Round c to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 77607.6 years?\nAnswer: 776.076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 1010012332?\nAnswer: 1010012322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + -3*(-1 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -6. Let q be (v - 61)\/((-4)\/6). Suppose 0*w = -3*w + q. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/10 and 0 + 0 - 97\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 66) + 2346 + -2260\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5869 + -5981.21. Let b = 0.21 + d. Let v = b + 109. What is the biggest value in 0.9, 0.2, v?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 28 - 7 = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32083436 - -4?\nAnswer: -32083432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9\/25 of a kilogram?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Suppose -u*s = -s. Let f be 126\/10 + (-3)\/5. Solve s*d - 4*d + f = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -41, -138, -315, -596, -1005?\nAnswer: -1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73.80423 - 73.8. Round f to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -127 and -15190.28.\nAnswer: -15317.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(605)*-3 - sqrt(30)\/sqrt(54)).\nAnswer: -200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**3 + 7*t**3 + 11*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4041\/2 + -1458809\/722. Are -1 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5100898 years?\nAnswer: 6.1210776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1180547, -2361095, -3541643?\n\"Answer: -1180548*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 e, and 1 f when three letters picked without replacement from vllsflvellseee?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -5. Is o - (-78 + (-3 - -3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - 12 - -2 - -1090 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14701417 is divided by 192.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t + 22*t = -1744*j + 1743*j - 8, -5*t - 10 = -9*j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 14. Determine q(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.00002 and -10.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/19)\/c*c**6*c)\/((c**(2\/9)*c)\/((c*c*(c\/(((c\/c**(6\/5))\/c)\/c))\/c)\/c*c)))**(-2\/65) assuming c is positive.\nAnswer: c**(-15172\/55575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/6*6\/(-5). Suppose w*h - 32 + 26 = 0. Suppose -h*u - u + 300 = 0. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192286, -192281, -192276, -192271, -192266?\nAnswer: -192261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93803746 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 2580?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -123.2493+-1274\nAnswer: -1397.2493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 5*s**2 + (0*s - 4*s + 2*s)*(1 + 2 - 2 + 2*s).\nAnswer: s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 41343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -183, -750, -1687, -2988, -4647?\n\"Answer: u**3 - 191*u**2 - u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 7. Suppose 0*j - 43 = -3*j - 5*l, -2*j + 4*l = 8. Let v be (-8)\/((-1)\/(21\/j)). What is the highest common factor of v and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 9:03 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 6563441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((-1)\/(-8)) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 59 = -4*y. Suppose m = 5*i - 95, i - 97 = -3*i + 5*m. What is the greatest common factor of y and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2*p - 9, -35 = -4*p - 5*l + l - 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 73 + 2 - 15 - 8*k. Let t be h(6). Calculate the greatest common divisor of 102 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q. Let i(y) = -y**2 + 13*y - 5. Let c(z) = -i(z) + 5*x(z). Let t be c(7). Let d = -20 + 15. What is the third smallest value in d, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 11\/4, 0.4, -2\/11, -2\/5?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -88990000 rounded to the nearest 1000000?\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by 12?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 78056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -230*g - 3453. Let l be q(-15). Let p = -254 + 4315\/17. Sort 2, l, 2\/9, p in descending order.\nAnswer: 2, 2\/9, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.472804 nanometers in kilometers?\nAnswer: 0.000000000004472804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35453 (base 6) to base 11.\nAnswer: 3958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/220*16\/(-6)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 1*(-10)\/5. Let x(o) = o**2 + 4*o + 4. Determine x(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/7))**(-12\/5))**(2\/121)\/((i**0\/i)**(1\/2)*((i**(1\/16)*i)\/i)\/i*i**(3\/7)) assuming i is positive.\nAnswer: i**(64909\/67760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 204 = -3*h, -q - 4*h = -8*h - 50. Suppose 0*p + 555 = 3*p. Calculate the greatest common divisor of q and p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.35 - -0.15. What is the closest to g in -1, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from {v: 5, a: 4, o: 5, l: 1, j: 3}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Suppose 5*t + j - 363 = 0, 20 = 4*j + 8. Suppose 3*o - 2*x - 120 = 4, 2*o = -4*x + t. Solve -4*l - o = q*v + 2*v, -15 = -2*v + 5*l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 11:19 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*c - 199, -3*f = -5*c - 88 + 295. Let q = -67 - -71. Calculate the remainder when c is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4224 divided by -16?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2301369 divided by 767123\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o - 20. Let b be s(-16). Let l = b + 70. Suppose 0 = -c + 4*j + 35, 0*c + 37 = l*c + 3*j. Is c a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6607401 (base 8) to base 10\nAnswer: 1773313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 (base 10) in base 7?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -10. Is 2 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -4*r + 0 + 0*r**3 - 1\/3*r**4 + 1\/2*r**2. What is the derivative of j(m) wrt m?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1832932*j**6 - 53231*j**2 - 4 wrt j?\nAnswer: -219951840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-30)*(-15)\/2. Suppose 0*f - 5*i - 32 = -f, -q*f - i + 186 = 0. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 14*r**2. Suppose -3*z + 6*z = -6, -5*x = -z - 1322. Let d be 2 - 57\/(-9)*x\/2. Let b(n) = d - 838 - 4*n. Give b(t(l)).\nAnswer: -56*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 10*j - 15. Let d be q(-11). Let m be 1\/(-2)*d*1. What is the derivative of -2 + a + 8*a - m - 3 wrt a?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 356468 divided by 14\nAnswer: 25462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/8 + 33*o\/8 + 45\/2.\nAnswer: -3*(o - 15)*(o + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + -3 + -1 - 6904. What is k rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(847))*-4 + (-3*(sqrt(847) + 0) + (-1 + sqrt(847))*4)**2.\nAnswer: -132*sqrt(7) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 59100, 2, -4, -1 in descending order.\nAnswer: 59100, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**3 + 2*p**2 - 2*p + 6179. List the prime factors of r(0).\nAnswer: 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120744.\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g = 55*g + 1287. Is g at least -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 21 = 3*a. Suppose a*i - 8 = 9*i. Suppose 0 = -t + 5*t - 24. Solve t*d - i*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 13. Let a = -4 - 373. Let n = a - -472. What is the remainder when n is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffgg when four letters picked without replacement from ffgggfggggggfgfg?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-10)\/25)\/(32\/24).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 4. Let m(l) = 6*l**2 + 11. Let h(i) = -11*j(i) - 4*m(i). Let r(y) = -4*y - 4*y**2 + 4*y. Determine h(r(z)).\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**5\/4 + 249*n**4\/4 - 22683*n**3\/4 - 359017*n**2\/4 - 277167*n\/2 + 233946 = 0.\nAnswer: -317, -12, -3, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 258, 263, 268?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 20*m. Let x be p(1). Suppose -22*z + x*z - 12 = 0. Is (3\/z)\/(1\/(-3194)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27802?\nAnswer: 2, 13901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 + 11*v**2 - 40*v.\nAnswer: -v*(v - 40)*(v - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10108 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*s - 19, -4*t - 26 = -3*s - 6*t. What is the greatest common factor of 48 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20151382, 40302766, 60454150, 80605534, 100756918?\nAnswer: 120908302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19988\/(-6)*(-1 + -2) + (-394 - -396)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)\/p)\/p**(1\/7))**(1\/34) assuming p is positive.\nAnswer: p**(-15\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.13 and 8866211721.\nAnswer: 8866211720.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14895889 is divided by 486.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.168 - -1.832. Let u = 1.6 + -2. Which is the third biggest value? (a) y (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 80 - 1232 = 99*t - 27*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108722 divided by 150.\nAnswer: 54361\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 9 = -3*p, -p + 2 = 2*m + p. Solve 0 = 2*f - 2*h + 10, 0*f - m*f - 5*h - 7 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 - 2*o**2 + 2*o**2 + (307 - 5 - 3)*(o + 11*o - 3*o)*(o**4 - o**4 - 2*o**4).\nAnswer: -5383*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -78, -3 in decreasing order.\nAnswer: 1, -2, -3, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 8 (b) -5 (c) -2\/3 (d) 2\/3 (e) 5365\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -3. Let z = 2.947 + s. Round z to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/2 and -27\/182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 5*t + 59. Let z be f(6). What is the tens digit of (-1051)\/z - (-18)\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2355 and -0.7?\nAnswer: -1648.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 16 = 4*r, -6*r + r = 0. Let l = -11 - -21. Let h = l - w. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 149 - 1279. Let u = 84 - d. Let t = 269 + u. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 0)\/((-10)\/(-5)). Suppose d = y + 8. Let a be 2\/(-3)*6\/(-2). Solve d = m + 3*g, 7 = m + 2*g + a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-6)\/(-9) + 2. Suppose -y*j = -q - 78, -3*j - 2*j = -3*q - 94. Is (j\/(-2))\/(2\/(-11)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 19*o**2 - 37*o + 2. What is s(6)?\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1153311 millennia to decades.\nAnswer: 11.53311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*n*t**4 - 3*n - 225*t**4 + 105*t**2 wrt t.\nAnswer: -144*n*t - 5400*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5813? (a) -2\/3 (b) 6 (c) -47 (d) -2\/5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/9 - 10*j**3\/9 + 70*j**2\/9 - 10*j\/3 - 12 = 0. Calculate j.\nAnswer: -9, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -361, -2822, -9503, -22516, -43973?\n\"Answer: -352*f**3 + 2*f**2 - 3*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/14*-14*33\/1254?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27328.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a + 20. What is the units digit of (a\/8)\/((-5)\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216)*2 + sqrt(1216))*-6)**2*-4.\nAnswer: -1575936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13098, 10675, 8262, 5865, 3490?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(64))**2 - 4*(sqrt(19) + 0).\nAnswer: -4*sqrt(19) + 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76581979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7014480 rounded to the nearest one thousand?\nAnswer: -7014000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + v**2 + (-39 + 39 - 10*v)*(-2*v - 3 + 3).\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, e: 4, r: 1, o: 2, c: 1, i: 5}. What is prob of sequence ueic?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*u - v + 16, -4*u + 8 = 3*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 + 2 = 0. Let d(c) = -3*c - 11. Let u be d(-3). Calculate the remainder when g is divided by (2 + u + -1)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.33351 times 2018\nAnswer: -673.02318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -1\/3*t**3 - t**2 - 3*t + 0. What is the derivative of l(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 111*o**3 - 9*o**2 + 10*o - 23. Is r(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**4\/4 - 134*p**3\/3 - 277*p**2\/2 - 556. Find the second derivative of n(s) wrt s.\nAnswer: -6*s - 268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*v**4 - 264*v**3 - 10788*v**2 wrt v.\nAnswer: 312*v - 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16 + -17)*(1 - 1). Solve m = g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5718690 and 1524984?\nAnswer: 22874760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -98.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert a676 (base 11) to base 3.\nAnswer: 201100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-15))\/(2\/6). Let w(h) = -h + 39*h**2 - h + 22*h**2 + 39*h**2 + 1 - 3. Let p be w(c). Calculate the highest common divisor of 40 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272408 = 4347*y + 59405 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 12*t + 18. Let o(j) = -j + j + 3 - 8*j + 6*j - j**2. Let x be o(-5). What is the remainder when 32 is divided by z(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3 - 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - (sqrt(30) + -4*(-2*sqrt(30) - sqrt(30))))*-4)\/(-1*(sqrt(10) + (sqrt(10) - sqrt(50)\/sqrt(20)) + sqrt(10))).\nAnswer: -96*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/2 + (-9)\/12*-4. Put -3, 4, 5, j in ascending order.\nAnswer: -3, j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6459*1.\nAnswer: 0.6459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216554 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4701 = -23*t + 27*t, 4*r - 3732 = 4*t. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-5))\/((-8)\/1940). Suppose 0 = -4*o + q + 32. Calculate the highest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109967*f**5 - 8*f**2 + 118*f + 21 wrt f?\nAnswer: 6598020*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -32 + 33 - 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(306)*-3 + sqrt(306) + sqrt(306) + sqrt(306) - sqrt(306)) + sqrt(306))\/sqrt(2) + 2 + sqrt(612) + sqrt(612) + -2.\nAnswer: 3 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, l: 1, b: 3}. Give prob of sequence bqq.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(-1)\/(-20)*4. What are the prime factors of 2\/t*(-196)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 1280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_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: Which is the closest to -3\/106? (a) -3\/8 (b) 17 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*g - 21 = 6, 5*z = -3*g + 78. Let r = z + -7. Suppose 3*s = 7*s - r. Solve -5*n + 2*b = -33, -7 + 0 = -3*n - s*b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 1072?\nAnswer: 321.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 231*v + 3. What is z(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3022, -3021, -3020, -3019, -3018, -3017?\nAnswer: -3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1758*l**2 - 1607*l**2 + 2799*l**2 to y*l**2 + o + s*l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 1\/4 (c) 0.05 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, 4, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 - 2 = 0. Suppose d = -5*t + 44, -1714*t = -1717*t + 24. Solve 5 = -d*l - s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94609*j**3*t - 3*j**2*t + 2*j**2 - 9702*j*t wrt j?\nAnswer: -567654*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**3 + 1283143*z**2 - 10*z - 162702 wrt z?\nAnswer: -12*z + 2566286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 10:20 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 21 + 23 = 0. Suppose f + 7*m - 9*m - 344 = 0, 0 = p*f + 3*m - 1365. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/336)\/((1*-6)\/((-602)\/387))\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -455497 divided by -118.\nAnswer: 455497\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15354172.\nAnswer: 2, 41, 251, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40879 or -40852?\nAnswer: -40852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -103*v - 1373. What is u(-10)?\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkvfkjeevvk. Give prob of picking 1 v and 1 j.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -633 (base 12) to base 6.\nAnswer: -4103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) -0.3 (c) 0.2 (d) 737\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192234 divided by -2786.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**4\/4 - 4*x**3\/3 + 5*x**2\/2 - 6*x - 8. Is q(6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25486.\nAnswer: 2, 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 96, 161, 214, 249, 260, 241?\n\"Answer: -n**3 + 72*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -119*x**2 - 345*x - 166. What is w(-2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*(25\/10)\/(-5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.4 - 6.399888. What is w rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o + 2. Suppose 0 = -5*z + 11 - 36. Let p(l) = -9*l + 2. Let y(j) = z*p(j) + 6*a(j). Let v(h) = -6 + 13*h + 2 - 5. Determine -2*v(w) - 9*y(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**6\/120 - x**5\/20 + x**4\/12 + 3*x**2. Suppose 0 = j + 1, j + 6 = -3*b - 7. Give v(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -7\/4, -7, -55, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, u: 4, v: 3, s: 2}. What is prob of picking 1 s and 2 v?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (152 - 4*v - 129 + 185)*(2*v**2 + 0*v**2 - 4*v**2) to y + q*v**3 + f*v**2 + a*v and give f.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + p + 4. Let u = 337 + -331. What is the remainder when u is divided by d(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -49*n**2\/2 - 71251*n\/4 - 3635\/4 = 0.\nAnswer: -727, -5\/98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (3 - (8 + -10 + 7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4974 = -115*x - 469*x + 3365 + 15605 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-8585.\nAnswer: 42925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 3*s + 3. Let h(k) = -k**2 + 4*k. Let j be h(5). Does 6 divide o(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56132 + 14030 + 14034 + 14036 + 14030 + 91*s**3 + 62*s**3.\nAnswer: 153*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r + 96 + 107 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38491749 a multiple of 1182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -108*j**3*m + 10*j**3 - j*m + 4323*m wrt j.\nAnswer: -324*j**2*m + 30*j**2 - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (31\/((-2635)\/(-1224)))\/((-4)\/(-10)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156881?\nAnswer: 59, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least as big as -12\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -231*u**3 + 19*u**2 + 53*u - 43. What is the units digit of a(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4090878 to the power of 1\/2, to the nearest integer?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2079464 and 2079464?\nAnswer: 2079464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 10 = 3*a, k = 5*a - 4*k - 25. Let r(b) be the third derivative of 8*b**2 - 1\/30*b**5 + a*b**4 + 0*b - 1\/3*b**3 + 0. Differentiate r(l) wrt l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*m + 12 = 0, 1 = -u - 5*m - 14. Suppose 2*a + 2*v - 1 + 3 = 0, -3*a + 5*v - 3 = u. Which is greater: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9185.\nAnswer: 5, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/20 and -83\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 7:52 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.75 + 6.95. Which is the closest to -2? (a) 0.31 (b) n (c) -0.3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5281.\nAnswer: 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4140*d - 100876 + 13936 = 0 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 0*l + 6\/5*l**2 - 2\/5*l**3 + 0 = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-2))\/1)\/((-2)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 2*a - 2. Let k be t(-3). Let q = k - -8. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + r = 16, -170*r - 86 = 33*c - 172*r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 583*w = 436*w - 981 - 2988 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, f: 10}. Give prob of picking 2 v and 1 f.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -10857?\nAnswer: -10857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2720 + 1364 + 1374 + 76*h**2 - 3*h)*(0 + 3 - 1) in the form q + k*h + w*h**2 and give w.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by (0 + 234\/(-15))\/(24\/(-60)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115351062 divided by 843?\nAnswer: -136834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1472 in 4\/7, 0.5, -12, -0.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -l - 15, -3594*l = 2*y - 3598*l for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 7 - 9. Suppose 3*h + 29 - 11 = 5*j, 3*h - i*j = -15. Let u(l) = l**3 + 2*l**2 + l. Let q be u(h). Solve q = -m - 1 + 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000534085 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -2*p - 111. Let a be (p\/(-3))\/((-6)\/(14 - -4)). Which is smaller: a or 25?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/z)\/z*z*z*z*z**7*((z*z*z**(-2\/9)\/z)\/z)**(-3\/11) assuming z is positive.\nAnswer: z**(464\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 a when four letters picked without replacement from {f: 7, h: 5, i: 3, a: 2, c: 3}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 18. Is (1\/s)\/((-2)\/1868) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 2110?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -973479 - -1264549150\/1299. Find the common denominator of 125\/42 and n.\nAnswer: 18186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(704))\/(sqrt(32)\/(sqrt(8)*-1)))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(sqrt(66) - ((sqrt(66)*1 - sqrt(66)) + sqrt(66) - sqrt(66)) - sqrt(66)))\/(-4*(sqrt(6) - (sqrt(24)\/sqrt(4) - sqrt(6))) + sqrt(6))*1*-4 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 4*o**2 + 3*o**2)*(-2*o + 0*o - o)*(-4 - 1 + 4) - 4*o**3 + 11*o + 4*o + 6*o**3.\nAnswer: -o**3 + 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 11*p - 11. Let g be c(4). Let s = 39 - g. Solve 2*b + s = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 22*l**2 + 7 + 14 - 21. Let k(w) = 2*w**2. What is k(y(t))?\nAnswer: 968*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/8 (b) 3 (c) -7 (d) 84 (e) 2211\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltl when three letters picked without replacement from {l: 15, t: 5}?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4*i - 6 - 10 = -3*s - 0*s, i = -5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 + -636\/5. Let q = -30 - -30.17. Let d = 0.07 - q. Is t equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77611761 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222 and 5296624?\nAnswer: 15889872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 2895707?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (11 + -4 + 4 - -7).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a + 1. Let j be q(-7). Suppose -5*i + 2*d + j + 5 = 0, -34 = -4*i + 5*d. What is the least common multiple of i and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/30 + (-348)\/(-90). Suppose 0 = -0*d + o*d + 1472. Find the common denominator of (d\/(-28) - 4)\/(-10) and 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16020 divided by 890\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*n + 621 = 12*n. Let v(i) = -2*i**3 - 54*i**2 + 7. Give v(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 174 times 497\nAnswer: 86478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*m*q**2 + 2*m*q + 2*m + 83*q**2 - 1746 wrt q?\nAnswer: -6*m*q + 2*m + 166*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + 2 + (17 - 8 - 13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igcqtqjcjjci. What is prob of picking 1 c and 1 t?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.943137923322 and 0.3?\nAnswer: 2.643137923322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 147268600 to the nearest 1000000.\nAnswer: 147000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 971*g - 673*g + 4724*g + g + 2*g - g + (2 - 2 - 2)*(g - g - g) in the form q + f*g and give f.\nAnswer: 5026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 - 11*w - 10. Determine z(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 9*m + 4. Let d = -143 + 145. Let u(g) = 4*g + 2. What is d*x(j) - 5*u(j)?\nAnswer: -2*j**3 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 562719 times -2.64?\nAnswer: -1485578.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k - w = 11, 5*w - 15 = -5*k. Suppose -4*c = 2800 - 2812. Let g(v) = -2*v - 2*v + 2 + 5*v. Let i(o) = -2*o - 4. Determine c*i(j) + k*g(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2. Suppose -4*m + 13 = 2*q - 29, 0 = -5*m - q + 57. Let j be ((-6)\/5)\/(m\/(-40)). Let a(s) = 3*s + 0*s - j*s. What is p(a(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) 114 (b) -5 (c) 3 (d) 5 (e) 0.5 (f) -21\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 6. Suppose 2*f - 3 = -2*b + 9, -b - 2*f + 5 = 0. Let l be z(b). Suppose -23*o = -l*o. Solve j + 2 + 3 = o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3707 and -3.\nAnswer: -3710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -454, -3, -43?\nAnswer: -454","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (14 - 2)) + 13 - -25.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*f + 56 = 0. Let h = 9 - f. Let y = 16 - h. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124566 - 124561.00012. Let p = -12 + 17. Let t = j - p. What is t rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b - 225. Suppose 6*l + 30 = l. What is the units digit of (-3)\/(-6) - b\/l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.2 + 10.2. What is the closest to a in 1\/7, 2, 8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**3 - 6*w**2 + 6. Let y(t) = -4*t**3 + 6*t**2 - 5. Determine -3*v(j) - 4*y(j).\nAnswer: j**3 - 6*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -18. Sort -7, -1, v in ascending order.\nAnswer: -7, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37156 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 5) in base 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4792 + 4787. Let q(i) = 2*i + 1. Let g be q(-1). Let u be (-5)\/g*6\/(-15). Sort u, 5, b in increasing order.\nAnswer: b, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*k + 5*f, -4*k + 2*f = -0*f. Let h be (1\/1)\/(k\/4). Suppose h*j - j = 32. Calculate the remainder when j is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 92513316, 185026634, 277539952, 370053270?\n\"Answer: 92513318*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 839, 818, 761, 650, 467, 194, -187?\n\"Answer: -3*h**3 + 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*u + 12 = 0, -5*q + 15 = -9*q + 5*u. Solve q*c + 2*c + 2 = -4*n, -3*c + 3*n = 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (1*-2 + 3). Suppose -3*c - 3*s + 2*s = -11, 0 = 5*s - 25. Solve w = -p - c*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17\/5 (b) -19\/3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -420.5449157 and -164.519?\nAnswer: 256.0259157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 169 + 276. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from zyyqzzi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726501302?\nAnswer: 2, 363250651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18 - 3)*(-35)\/135 + 4. Put 1, -0.3, a, -0.4 in decreasing order.\nAnswer: 1, a, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k. Let z(f) = 188488*f. What is z(t(p))?\nAnswer: 188488*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -41\/2 (b) -0.04 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135 + 150. Solve 39 = 8*n + p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1336\/14 - ((-266)\/(-49) - 5). Is d bigger than -6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (834\/42 - 20)\/((-30)\/(-140))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3703)\/(-46))\/23)\/(14\/196)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-1 - (-64)\/60). Which is the nearest to -0.08? (a) 5 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494048 to the power of 1\/2, to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 74.75601 millennia?\nAnswer: 747.5601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.3 (b) 62 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.923335ml in litres?\nAnswer: 0.003923335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 - 3*s**2 - s - 1. Let b = -11 + 13. Suppose -4*k = -b*k + 4. Calculate g(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 617, -12\/175, 2\/21, -3\/5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8160 divided by -3.\nAnswer: 2720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 13875?\nAnswer: -6\/4625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/7)*b*b)\/b)**41\/((b\/((((b\/(b**5\/b))\/b)\/b)\/b))\/(b\/(b\/b**6)))*((b**(-2\/7))**(2\/67))**(-2\/103) assuming b is positive.\nAnswer: b**(4478757\/48307)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 39 + 4)*(o**2 + 0*o**2 + o**2)*(0*o - o - 3*o) to the form y*o**2 + d*o**3 + m + h*o and give d.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7 + 136\/357.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9764716 = 4*c - 1227272. Suppose -c = -2*d - 5*b + 4*b, 0 = -4*d - 5*b + 5495985. Round d to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*v - 9, -3*v - q - q + 21 = 0. Let b = v + -5. Suppose b*p + p - 30 = 0. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -7. What is the highest common divisor of l and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 4*m + 16, -8 = -0*n + 2*n - m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(170) - sqrt(170))\/((2*sqrt(100))\/sqrt(10)))**2 - (5 + (-5 + sqrt(68) - -2*(sqrt(17) + sqrt(272)))).\nAnswer: -12*sqrt(17) + 833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -4, 0, -246 in decreasing order.\nAnswer: 0, -1, -3, -4, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3652.06 + -3652. What is the third smallest value in x, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 23*g - 424. Suppose -114 = g*q - 44*q. Suppose 0*l - l = -5*v + 3, 15 = 5*l + 5*v. Solve q*m + 4 = l*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - (-14 + 25 + -36).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 875 and 1887625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/96)\/((-5)\/(-4))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 a factor of 41241945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 29. Let l be 11\/1 + (-18 - h). What is the highest common factor of l and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19119872*a**2 - 72356022?\nAnswer: -38239744*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -11.3.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1063292*m**2*q + 378862403*m**2 - 106*q wrt q.\nAnswer: -1063292*m**2 - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/6 + (-70)\/42. Suppose i = -4*w + 3*f + 1475, 0 = 2*w + 12*f - 14*f - 736. Is 20 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 3*u**2 - 2 - 373*u + u**3 + 372*u. Give j(-4).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 9:07 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/(-5)*(1 + 1)\/(-2). Suppose -v*d + 4*n + 10 = 74, 3*n - 3 = 0. Which is the third biggest value? (a) 4 (b) -2\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/8 + 0\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffoupufsofu. What is prob of picking 2 f, 1 u, and 1 p?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1784 - -2084. What is the highest common factor of b and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28369, 29043, 30167, 31741, 33765, 36239, 39163?\n\"Answer: 225*n**2 - n + 28145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*x = -4*x + 29*x - 451276. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 933206, 933186, 933152, 933104, 933042, 932966, 932876?\nAnswer: 932772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.574487792 to 3 decimal places.\nAnswer: 0.574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**4\/4 - d**3 + d**2\/2 + 3*d + 44. Suppose -s + 3 = -0*s. Determine g(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/95 - 268\/380. Let m = 0.25 + -0.15. Let q be (-1)\/(26\/48) - -2. Sort q, m, a in descending order.\nAnswer: q, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 - 2 = 4*r. Suppose 3*x = x + r. What is the remainder when 61 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47309 - 162.\nAnswer: -47471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71874 and 99?\nAnswer: 71874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -212, -514, -816, -1118, -1420, -1722?\n\"Answer: -302*y + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 197.9 - -687.1. Let j = x + -885.974. What is j rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 9:14 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/1*((-15)\/5)\/6. Let t be y\/4*(10 + -10) + 18. Suppose -t = 2*v - 22. What is the greatest common factor of 14 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*((-140)\/(-16) - 3). Suppose -i = -4*z + 4 + 4, -4*z + 8 = -5*i. Suppose i = 6*v - 4*v - j. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 41\/2. Let o = -9\/20 - -23\/140. What is the third biggest value in o, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1927\/43 = 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 157602772 and 2318.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 16 + 4. Which is the closest to 0? (a) 0.2 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 94*y**2 - 4*y - 9. Let n be w(-9). Suppose -4*b - 5488 = -4*r, -4*b + n = 5*r + 799. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 divided by -2898840\nAnswer: -5\/144942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4 + 1588*m**3 - 120731*m**2 + 2292080*m + 2414400 = 0. Calculate m.\nAnswer: -1, 40, 1509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + d - 6 - 5 + 9 - 6 - d**4 to the form m + f*d**4 + j*d**3 + c*d + z*d**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222\/407*2\/6*-1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3409 - 3404. Solve p*i - 68 = -73 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 - -8)*(0 - 1). Let q be -44 + 40 - (d - 4)\/1. Let c = q + 144. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + u + 4*u)*(-2 + 0 + 1)*(-4 + 4 - 4*u)*(2 + 4 - 2).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -399, 16, 701, 1650, 2857, 4316, 6021?\n\"Answer: -h**3 + 141*h**2 - h - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*(sqrt(2352)*-1 - -3*(sqrt(432) + sqrt(12) - sqrt(12))))**2.\nAnswer: -8640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2975426, 5950848, 8926270?\n\"Answer: 2975422*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -2135319?\nAnswer: 2135317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**2 - 33*t - 68. Let n(f) = 63*f**2. Calculate m(n(z)).\nAnswer: -15876*z**4 - 2079*z**2 - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 7 + -7 + (1 - -4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x = -74*x + 380. Solve x*t - 164 = -180 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15817 is divided by 1146?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 7*l - 2*i = -83, -2*l + 4*i + 50 = 0. What is the highest common factor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y + 2 = 24*y + 24. Let f = 0 - -10. Suppose -f = -y*l, 5*s = 2*l + 136998502 + 15501488. What is s rounded to the nearest one million?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 727074718 and 16?\nAnswer: 5816597744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, z: 8, k: 3, i: 4}. What is prob of picking 1 w and 2 i?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9265, -9263, -9253, -9229, -9185, -9115?\n\"Answer: m**3 - 2*m**2 + m - 9265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - r**2 + r + 1. Let k(v) be the third derivative of v**6\/60 - v**4\/24 + 26*v**2. Let u be k(1). Let q(h) = -h**2 + h + 1. What is u*l(n) - q(n)?\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**6\/10 - 13*z**2\/2 - z. Find the first derivative of v(s) wrt s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 10*p**2 + 3*p + 1. Let r(o) = o**2 - 2*o + 3. Let n(l) = 4*l**2 + 8*l - 8. Let w(b) = -n(b) - 3*r(b). Give 5*k(f) + 7*w(f).\nAnswer: f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -61, -236, -533, -964, -1541, -2276, -3181, -4268?\n\"Answer: -2*h**3 - 49*h**2 - 14*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.9 - -3. Let m = -5 + 1. Let w be (-2)\/9*(-15)\/2. What is the nearest to m in k, 0.5, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**6\/360 + 173*z**3\/3 + 66*z**2. Let b(u) be the first derivative of y(u). Let v(j) = -271*j**2. What is v(b(m))?\nAnswer: -271*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 39463 - 6749 = -j, 4*j = -8. Let s = 19282229\/144 - 2512293\/16. Let a = s + v. What is the common denominator of a and 137\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3 + (-3 + 1 + 1)*(-5 + 4 + 3) - 1 + 1 - 2)*(-3308*t - 3355*t + 5898*t).\nAnswer: 2295*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -15.83. Let r = 0.03 - d. Which is the third biggest value? (a) 2 (b) 3\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5610 and 131835?\nAnswer: 263670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.721267923 rounded to four dps?\nAnswer: 0.7213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -28. Suppose 0*v = -a*v + 3. Solve -q - 1 = v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 u, and 2 q when four letters picked without replacement from {h: 7, u: 3, p: 4, q: 4, n: 1, r: 1}?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1172, -2332, -3492, -4652, -5812?\nAnswer: -6972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 4*f + 9 - 28, 4*k + 5*f + 8 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1645 = 11*z - 6*z, -z = 5*r - 341. Let c = -282 + z. Let g(i) = -i**3 - 6*i**2 + 5*i + 10. Calculate the lowest common multiple of g(-7) and c.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 44 = -2*z, -m + 8 = -4*z - 2. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -114 + (-30)\/10. Let i = -121 - v. Suppose 0*o = 2*o + 28. Which is the closest to 1? (a) o (b) i (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 = -5*v + 12, -5*v + 11 = z. Solve 6 = -v*s + o, s - 3*o + 5 = 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -44*d**2 - 3*d + 19. Let a(z) = 43*z**2 + 2*z - 16. Give -6*a(j) - 5*r(j).\nAnswer: -38*j**2 + 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/3)*y*y**(-1\/13))\/((y**(-2\/11)\/y)\/(y**(4\/3)\/y)) assuming y is positive.\nAnswer: y**(158\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1820763 and 1?\nAnswer: 1820763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a gram in milligrams?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((-2)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 91 = 8*q. Calculate the remainder when 2154 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h = -11*h + 112 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 2626575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36527967, -73055934, -109583901?\nAnswer: -146111868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -174 - -52. Let b = -109 - f. Calculate the remainder when 50 is divided by 171\/b - (-26)\/(-169).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(684)*1)**2 + sqrt(684) + 3 + ((sqrt(171) + 0 + 3 - (-3*(sqrt(171) + 1 + sqrt(171) + sqrt(171)) + sqrt(171))) + -5)**2.\nAnswer: 60*sqrt(19) + 16595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1711 in 1, -5, 1\/7, 4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + -136 + -67 + (76 - 9)\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*r - 6. Suppose r = l + 4. Solve -l*j + 4 = -0*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 - 0.07. Round h to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 1 = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 4. Let h = 2.9 + f. Suppose 0 = -4*x - 1 - 3. Do h and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2 = 5*f - 0, -2*c + 6 = f. Solve 0*q + c*q - 10 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 - 21*f - 5. Let b be q(-10). Let m be b + 76\/(-28) + -2. Let u be (2 + 13\/(-6))*-4. What is the second smallest value in m, -18, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25885831 is divided by 892.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 509*t + 5481. Determine p(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 8) to base 9\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p - 2*p)*(-p**3 - 20 + 143*p - 248*p + 125*p).\nAnswer: -p**4 + 20*p**2 - 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/3313250 and 103\/54250.\nAnswer: 718975250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5701 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.45 - 0.04. Let y = 0.01 - h. Let o(t) = t**3 + 6*t**2 - 2*t - 8. Let s be o(-6). Which is the third smallest value? (a) y (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 603 = -13*b + 15*b, 2*d = 3*b - 899. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**3 + 2*l - 1. Suppose b - 15 = -0*b. Let g = b - 14. List the prime factors of i(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -5. What is the lowest common multiple of 12 - 25\/((-275)\/(-44)) and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 651.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/708729 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 3*b**2 - b + 6. Let x = -22 - -25. Let y be h(x). Suppose -5*j - y = -23. What is the smallest common multiple of j and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*l**5\/11 + 1038*l**4\/11 - 1034*l**3 - 7926*l**2\/11 - 1340*l\/11 = 0. Calculate l.\nAnswer: -67, -1\/3, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 179587 + 16?\nAnswer: 1795a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**2\/3 - 40925570*l\/3 - 83745113991245\/3 = 0.\nAnswer: -4092557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**3 + 11225*z**2 - 33691*z**2 + 11229*z**2 + 11234*z**2.\nAnswer: 11*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puggcpft. What is prob of sequence fp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 29652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 + 105*-1)*3\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86443 = 1177*t + 83*t + 19178 - 13375 for t.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.84113.\nAnswer: -0.420565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -21.372, -0.5 in descending order.\nAnswer: 0, -0.5, -2, -21.372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wici when four letters picked without replacement from cwwiiciiciicciciicc.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2438730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5)*j*j**(1\/4))\/(j**(-6)\/(j\/j**(-4)))*(j**(-5\/4)*j**(2\/9)*j)\/((j*(j**(-1\/6)*j*j*j*j)\/j)\/(j\/j**(-2\/9))) assuming j is positive.\nAnswer: j**(829\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-9)*-3 + 13. Let d(w) = -3*w - 3 - 5 + f. Determine d(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -131599916 and -131599914 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*-5*(sqrt(1872) - sqrt(1872)*2) - (-3 + sqrt(1872)*3 + -2))**2*-2.\nAnswer: -2729422 - 6480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 13442.3 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2 = -3*u - 1, 0 = 4*r - 2*u. Is r*3\/(-6)*98 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -627 divided by -35001?\nAnswer: 209\/11667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - -1 - (14 - ((-1)\/(-19) + 21442\/2698)). Solve 7\/5*t + 2 - 9\/5*t**2 - 7\/5*t**3 - 1\/5*t**k = 0.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 488954 + -195092887\/399. Let l = 17\/15 - 91\/95. Let o = l + b. What is the second biggest value in -2\/13, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y. Let u(o) = -219*o**2 - 653*o**2 - 2871*o**2 - 1819*o**2 - 785*o**2. What is r(u(d))?\nAnswer: -6347*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 907848866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/4)\/((-10)\/(200\/(-10))). Let d = -6 + 8. Let f = d - 0. Solve -4*r = -2*s, -1 = -p*r + f*s - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 99*i**2 - 15*i - 7. Let k be q(6). Let g = k - 2186. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + n. Let d = -15 + -49. Let u = -32 - d. What is the least common multiple of u and z(-3)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.8. Let m = -213289 - -213293.4. Which is the nearest to m? (a) f (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-75)\/10 - -5)\/((-2)\/(-172)). Let n(a) = 16*a**3 - 2. Let v be n(-2). Let l = v - y. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, -4, 4, -1 in increasing order.\nAnswer: -4, -1, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46403*f*u**4 - 2475*f*u**3 + 31697988*f wrt u.\nAnswer: -185612*f*u**3 - 7425*f*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/480 - 5*s**4\/192 + s**3\/8 + 149*s**2 + s. Find m, given that b(m) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1120)\/(-96))\/(-35))\/((-4)\/38)?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d**2 - 126*d + 145. Let j be x(-19). Solve -3*v = 2*n - j + 24, 3*v = -4*n - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -47117*j - 13. Let r(i) = -2*i + 51. Give d(r(x)).\nAnswer: 94234*x - 2402980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8*p + 4*p - 257 = 0, 2*k - 2*p = 174. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**5 - 3940*r**4 - 776120*r**3 + 47360*r**2 + 9377200*r + 12418880 = 0. What is r?\nAnswer: -394, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*1\/((-3)\/(-9)). Suppose 3*w - y*p + 1 = -17, p + 2 = 0. Is (-4)\/w*52\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.82 + -0.72. Let s = -23 + b. What is s rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -15644 and -14920 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2486328 or 2486293?\nAnswer: 2486293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + -35. Let s = c - -105. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 17. Let g = 7 + -6. Do u and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from posxxspspscss. What is prob of sequence xcp?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -6 + (22 - (20 - 7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10150837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192))**2 + sqrt(48) - sqrt(3) - sqrt(3))*-6 - sqrt(6)\/(sqrt(2) + sqrt(22)\/(sqrt(22)\/sqrt(2) + sqrt(11))).\nAnswer: -1152 - 38*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-94 + 109) - (2 + -1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 7\/6*r**3 + 2*r - 1\/12*r**4 + 0 - 5\/2*r**2. Is x(4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235 and 19223?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5460686809?\nAnswer: 5460686809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.15 - -0.203. Let l = -0.302 + 0.149. Let j = x + l. What is the smallest value in -0.5, 3, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*d + 854*d - 431*d - 3 = 81 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + c**2 + 14. Let b be (-3)\/3 + (-18)\/(-3). Suppose 0 = -11*n - b*n + 48. What is the remainder when k(0) is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 19*t + 49. Let a be p(-5). Let c(u) = u**2 - u + 1. Let y(q) = 2*q**2 + 4*q - 7. Determine a*c(o) + y(o).\nAnswer: 6*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/161095?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwiw. Give prob of picking 2 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*a + 15. What is the highest common factor of 25 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/200 and 83\/300.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3210, 6454, 9732, 13056, 16438, 19890, 23424?\n\"Answer: 2*m**3 + 5*m**2 + 3215*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121101729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 14) in base 11?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 5*k**7\/21 + 103*k**5\/20 - 425*k**3\/6 + 7*k**2\/2 - 17*k - 96. Find the second derivative of s(y) wrt y.\nAnswer: 200*y**3 + 618*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.8 + -29.4. Which is the biggest value? (a) -1\/6 (b) w (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -7. What is the smallest value in 2, f, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(88) + -1*(sqrt(88) + sqrt(88)*1))\/(3*sqrt(32)\/sqrt(4)))**2 + (sqrt(22) - (sqrt(88)*2 - sqrt(88)))\/(-3*sqrt(18)).\nAnswer: -34\/9 + sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(104) + sqrt(104)))\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 10*s + 33. What is g(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4116.8726622 and -0.153?\nAnswer: 4116.7196622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -442 - -444. Solve 9*p - 5 = 4*p, 0 = -z*u + 5*p - 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 9*s + 1. Let w(v) = 9*v**2 + 180*v - 12. Let b(c) = 12*h(c) + w(c). Find d, given that b(d) = 0.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s - 23. Let m(l) = -96*l + 146. Determine w(m(t)).\nAnswer: -192*t + 269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let p(d) = -d - 2*d + 6*d - 3 - 2*d. Let w(m) = p(m) + 4*u(m). Let j(c) = -c + 7. Let l be j(5). What is w(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.29791 * -1.\nAnswer: -0.29791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-237))\/(24*16\/64)*-1.\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2\/4 - 19755*g\/4 - 195550.\nAnswer: -5*(g + 40)*(g + 3911)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdacbduh. Give prob of sequence hdbc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 323107273 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 99288 a multiple of 394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3*2\/11 + (-126259)\/(-210078)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4590, -4583, -4572, -4557, -4538, -4515, -4488?\n\"Answer: 2*h**2 + h - 4593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -3.8. Let f = -109.5 - -109. Let l = 8.3 - 10.3. Which is the closest to l? (a) 0.05 (b) y (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688832605 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqd when three letters picked without replacement from {d: 3, q: 6, e: 4, w: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45518 is divided by 22649.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**4\/8 + 339*n**3\/4 - 14557*n**2\/8 + 42555*n\/4 - 14679 = 0.\nAnswer: -699, 2, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + n - 4. Let q be i(0). What are the prime factors of (-1)\/4 + (-41)\/q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44576 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -387083*p**3 - 26204*p?\nAnswer: -2322498*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*i = 2, -d - 4*i + 130 - 128 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 5)*344\/129\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (-83 + 9 + 18 + 8).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/33)\/((-6)\/2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5418749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1509 divided by -3\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 4*q**2 + 21*q - 2. Calculate the remainder when 97 is divided by v(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 16, 12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 57.4. Put -7, 10, g in decreasing order.\nAnswer: 10, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 - 15550644?\nAnswer: -15550616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + -1 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-147)\/(-14))*69\/(-161)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5 + 9 = o, 2*o + r = 14. What is the lowest common multiple of 19 - (-4 - (-4 - 1)) and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4595 + -4592. Let u(h) = h**2 + 4*h + 3. Let i be u(-3). Suppose a = -i*a + 2. Put a, -4, l in decreasing order.\nAnswer: l, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 6 = -2*y. Let q = -14815\/6 + 4937\/2. Which is the fourth smallest value? (a) 4 (b) q (c) y (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -2. Suppose 0 + 8 = -2*m. Which is the closest to -1? (a) t (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0032165 to four decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33333186, 33333184, 33333182?\nAnswer: 33333180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4271, 8604, 12923, 17222, 21495, 25736?\n\"Answer: -r**3 - r**2 + 4343*r - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20846 (base 14) in base 7?\nAnswer: 444516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 a when three letters picked without replacement from vapppap?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 4, -0.01, 0.057, -10, -2\/7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = k + 19, 0 = 2*k. Calculate the greatest common factor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 4) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46*z**4 + 4*z**2 + 1070 wrt z?\nAnswer: -184*z**3 + 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 10. Suppose 0 = 3*f - 7*f + 8. Let p(t) = t**2 + 3*t. Let j be p(-4). Suppose -f*r = 3*s + 18, -j*r = -0*r. Determine c(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 0*r**2 + 0 + 0*r**6 - 5*r - 1\/6*r**3 + 0*r**5 - 5\/42*r**7 + 0*r**4. What is the second derivative of l(b) wrt b?\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*w + 2*w. Suppose w*s = -3*m + 38, -5*s - 5 = -25. Calculate the greatest common divisor of 50 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**8\/2016 + r**7\/1260 - r**6\/240 - r**5\/72 - r**4\/72 + 9*r**2 - 11. Let m(t) be the second derivative of q(t). Factor m(g).\nAnswer: g*(g - 2)*(g + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) 0.046 (b) 0.1 (c) 101 (d) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knagfzz. Give prob of picking 1 n and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-90)*30390\/(-2162755)*30\/(-4).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18228157?\nAnswer: 18228157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000210304 to 6 dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/6*(-9)\/4. Find the second derivative of 173*m**t - 173*m**3 + 36*m + 63*m**5 + 24*m wrt m.\nAnswer: 1260*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-12) - (-4 + (-213)\/(-60)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738*f - 21 = 737*f - 7*n, -3 = -4*f - n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t - 2*h - 20, 2*t + 9 - 9 = 2*h - h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 f when three letters picked without replacement from frfffffr.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 3*x + 3. Let p = x + 0. Suppose -2*d + 2*q = -7 - 3, -3*d = q + p. What is the greatest common factor of 7 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10 + 208\/65)*22\/(-242).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2446*q**2 - 17*q + 25. Let r(v) = -v**2 - v. Let g(m) = -l(m) - 3*r(m). Let b be g(-15). Round b to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - -7 - 35 - ((5 - -41) + 4)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(1*(1 - -1)). Let o(d) be the third derivative of -d**4\/24 - 11*d**2. Let m(x) = -2*x**3 - 5*x + 1. What is i*m(n) - 5*o(n)?\nAnswer: -2*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**39*((b**(-29)\/b)\/b)\/b)**30 assuming b is positive.\nAnswer: b**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -13150*z + 262905. Calculate l(20).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -4*k - 8, 0 = -k - 388*z + 391*z - 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 83101 times -2?\nAnswer: -166202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 27. Is 16 a factor of (31 + 1)*g\/8*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3936, -3948, -3960, -3972, -3984, -3996?\nAnswer: -4008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*u - 9. Let g(k) = 2*k**3 - 5*k**2 - k. Let m(t) = t**3 - 3*t**2 - t. Let h(d) = u*g(d) + 5*m(d). Find the second derivative of h(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14 - 24*n**2 + 475*n**6 - n - 6 - 10*n + 11*n wrt n.\nAnswer: 57000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -58, -71, -84?\n\"Answer: -13*j - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 20, -19*m = 23*m - 39*m + 2*u - 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-390))\/((-1)\/(-3) + 0)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 1643110*o - 46003160.\nAnswer: -5*(o + 28)*(o + 328594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Suppose 3 + l = 3*a. Suppose 4*m + 4 = 0, -22 - 38 = -n + a*m. Calculate the remainder when n is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**4*r**2 + q*r**3 + 900*q*r**2 + 13*r**3 - 198 wrt q?\nAnswer: 4*q**3*r**2 + r**3 + 900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - (-48 - -23) - (-1 + 10)) + -10.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 46*m - 110. What is the units digit of b(26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1133 and -41\/99.\nAnswer: 10197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d + 5. Let p(a) = 5*a. Suppose -4*y + 30 = -9*y. Let n(k) be the third derivative of -k**4\/24 - 2*k**2. Determine d*p(r) + y*n(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 60\/66)\/((-9)\/99). Solve c - 8*p + 3 = -6*p, 4*c + s = -3*p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -217 + 216. Let w(j) = j**3 - 4*j**2 - j + 5. Let y be w(4). Suppose 0 = -5*b + 3*f - 5, 2*f + y = -4*b + 5*f. Sort a, b, 1 in descending order.\nAnswer: 1, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126 + 880\/7. Let n = 0.39 + -3.79. Let q = n + 6.4. What is the second smallest value in 0.1, q, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -79597*o - 318385. Calculate l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2*a - 7 + 25 = 0, 26 = -5*o + a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020196 to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, 81, 358, 903, 1806, 3157, 5046?\nAnswer: 7563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -161. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2668*k = -970*k - 15282 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 302*s**2 + 116*s - 63. What are the prime factors of m(8)?\nAnswer: 3, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-9 + (-2 - (3 + -9))) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -0.004, 2, -5, 1?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 20 = -2*g. Suppose -g*h - 8 = 0, 0*a - a = 2*h - 51. Suppose 0*w - 3*w = 4*p - a, -5*w + 4*p = -49. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 2 + -1 + 0. Let y = -19336 - -1121537\/58. Find the common denominator of y and m\/(-6)*(-15)\/1.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + q - 55, -20 - 5 = -3*n + q. Let u be (-2)\/4*(-3 + -3). Let s be 68\/16 - u\/12. Solve 0 = 2*h - 4, -s*d = -6*d - h + n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 n, and 1 m when three letters picked without replacement from {u: 2, n: 6, j: 5, m: 1, l: 3, o: 2}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -17*m - 547. Calculate c(-32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.8 - -0.2. Let q = -13 + 14.4. Let k = 0.9 - q. Sort k, b, 0.5 in increasing order.\nAnswer: k, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - y**2. Let j(b) = 4*b**3 + 1. Let n(v) = 9*v**3 + v**2 + 2. Let a(d) = -13*j(d) + 6*n(d). Let k(w) = a(w) + 4*u(w). Give k(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/11*363\/(-99).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 31, 31, 27, 19, 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -44*m + 47*m + 12, 4*s = -5*m - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 140 - 16 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 66051.816.\nAnswer: 66037.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1464 and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592861 is divided by 176.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 8) to base 4.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = g + 4. Suppose -2*z = 4, 3*o + 2*z - 31 = -g*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33385 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 383287 (base 10) in base 5?\nAnswer: 44231122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 - 55. Solve b = -3*b - u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*h + 1623 = 0, -62*h = 2*c - 60*h + 1062. Put c, 3, 1 in descending order.\nAnswer: 3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 5*k - 8. What is l(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 13*v**2 - 8*v - 213. Let u be a(-12). Solve -u*g - 7 = -34*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 883 + -1913. Let k = b - -1030.00457. What is k rounded to 4 decimal places?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 81*i - 242. Let w(a) = -a**3 - 10*a**2 - 29*a - 287. Let g be w(-10). Calculate y(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.046, 0.4, -3.\nAnswer: -3, -0.2, 0.046, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q + 41. Let x = 2437 - 2454. Calculate v(x).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50351, -50363, -50389, -50435, -50507, -50611, -50753?\n\"Answer: -y**3 - y**2 - 2*y - 50347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 + 1. Determine r(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 201261\nAnswer: -1006305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5 - 3 - 5. Let m(i) = i**2 + 1. What is -h(r) - 3*m(r)?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8922, 18088, 27254?\n\"Answer: 9166*q - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a**2 + 4. Let j(k) = 9*k**2 - 6. Let z be (-39)\/(-9) + (-4)\/(-6). Let t(r) = z*j(r) + 7*u(r). Find the first derivative of t(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -301 + 309. Suppose x + f = 2*f - 1, -g = -2*f. Solve 3*s = 5*n + 20, x*n + 2*n = -2*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09215*-1355.\nAnswer: 124.86325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 c, and 1 f when four letters picked without replacement from cchkhcfkhtcr?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2549 - -43331\/17. Which is the closest to -1? (a) -24 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from qfqqfsfq.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 272 times 0.5\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p**2. Let y be r(3). Let k = -24 - y. Is 24 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000029877 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Let c be ((-60)\/200)\/((-6)\/(-4)). Sort 0.4, c, i in ascending order.\nAnswer: c, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 23 = 13*z. Suppose 5*v - 558 = 3*f, z*v + 2*f - 5*f = 336. Suppose 0 = -u + 4*d + v, 2*u - 4*d - 235 = -1. List the prime factors of u.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.9 (b) -1\/4 (c) 2\/7 (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -50 + 10. Suppose 4*h = -v*l - 0*h + 102, -h + 3 = 0. Calculate the greatest common divisor of 45 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 36 = -3*w, -4*w = -0*w - y - 67. Let v = 10 - w. Let z(o) = -o - 1. Calculate the remainder when 13 is divided by z(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2392 - -42087949.\nAnswer: 42087949.2392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + (-6 - -26)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22366 is divided by 356.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, v: 3}. What is prob of picking 1 o and 2 v?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 386766*c**2 - 19902.\nAnswer: 773532*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((1\/6)\/(24\/96)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85\/12 - -15\/2. Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -3, 14.86, -0.57 in ascending order.\nAnswer: -3, -0.57, 1\/4, 14.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15416 - -15419. Let g(s) be the second derivative of 0*s**2 + 0 - 2*s + 0*s**4 - 3\/10*s**5 - 13\/2*s**k. Find the second derivative of g(v) wrt v.\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10817 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (640\/(-21))\/((-3100)\/27125). Let 688\/3*x**2 - 480*x - 16\/3*x**3 + w - 2\/3*x**5 - 10*x**4 = 0. Calculate x.\nAnswer: -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71 by -10591.\nAnswer: -71\/10591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkkegmkggmgmgg. What is prob of picking 1 m and 2 k?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence miii when four letters picked without replacement from mmiiiimimmmi?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2200162\/(-619416)*1 + 17\/(-119). Let m = p + 1\/2458. Calculate the common denominator of m and 38\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**3 + u**2 + 3*u - 4. Let c be q(-3). Let g = c - 55. Suppose -b = -g - 36. Calculate the greatest common divisor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -3.28517515 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**2 - 108828*y + 653112 = 0.\nAnswer: -27213, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-2) + 68\/1. Let t be (x\/(-16))\/(2\/24). Let z = 15 - t. What are the prime factors of z?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9*b - 2. Let a be s(3). Let u = a - 8. Calculate the highest common divisor of 34 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4 = -l + 21, s + 1 = l. Suppose 9*t - 14*t = -3*g + 670, 0 = s*g + 5*t - 940. Is 30 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - (-42 - -20)) + -12\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1941 - 0.356517\nAnswer: 1940.643483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -218*v - 12*v**2 - v**3 + 228*v - 2*v**2 + 42. Let o be s(-15). Let t = -12 - -25. Calculate the greatest common factor of t and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 3*h + 4. Let r be l(-2). Suppose 2*z + 28 = 4*n, -3 = 5*n + r*z - 20. Solve n*o + 10 = -0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 7 (c) 2 (d) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1\/10, 14\/121, 1, -3\/4, -1?\nAnswer: 14\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2601? (a) 5 (b) -0.1 (c) 3\/7 (d) 0.2 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 216*k - 339. What is l(1)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-4 - 47 - -1) - 11) + (5 - 4).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185 + 185.35. Let t = -24.01 - -7.36. Let q = p - t. What is the third biggest value in 5, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.198 - -0.102. Round s to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**3 - 24*k**3 + 13*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (6*(-10)\/240)\/((-1)\/17)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1602116 + 2826*m - 1602116 as k + r*m and give r.\nAnswer: 2826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6924 + 10280 = 17*g. What is the highest common divisor of g and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -0.14827.\nAnswer: 0.25173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, n: 1, a: 1, h: 1, r: 1}. Give prob of sequence ar.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2639\/(-232) - -11) + (-130)\/(-176)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-9 + 13 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1210112 + -1231133?\nAnswer: -21021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.67? (a) -2\/9 (b) 0.09 (c) -2208 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(1 + (-3)\/1). Let p(d) = -d**3 + y*d**3 + d + 16 + 3*d**2 - 11. Determine p(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.18 and 0.6619.\nAnswer: 0.781042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-18)\/(-96)*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26196, -50626, -75056, -99486, -123916, -148346?\nAnswer: -172776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1596448.6*5\nAnswer: -7982243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 395741445 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 divided by 57?\nAnswer: 505\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - t**3 + 2*t**3 + (-2*t**2 - 3*t**2 + 4*t**2)*(-4*t - t + t) + (-t + 0*t + 4*t)*(-4*t - 5*t**2 + 4*t).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 11*n**2. Let a(k) = -33*k**2 + 10*k + 3. Give a(u(i)).\nAnswer: -3993*i**4 + 110*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 21. Let j = -13 - x. Let d = 273\/5 + -55. Which is the nearest to d? (a) 2\/9 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -896123970 and 43957.\nAnswer: -896080013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -k - 7. Solve -k*r - 20 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a - 3*a - 2*a + 4*a + 2*a - 5*a + (-4 + 2 + 4)*(3*a + 3*a - 4*a) + 2*a - 2 + 2 + 5*a - 7*a + 6*a)*(0 + 5 + 46) as i + c*a and give c.\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1440 and 48?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 4*b - 2*b)*(-2 + 5 - 4) + 3*b - 3*b - b + (12 + 2 + 5)*(2 - 2 + 3*b).\nAnswer: 55*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 88, 116, 154, 208, 284?\n\"Answer: v**3 - v**2 + 24*v + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 503 + -500.57. Let s = b + -2.93. Let o = 0.8 + -0.3. Sort -3, o, s, 1\/3.\nAnswer: -3, s, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-165))\/(6\/395625). Let v = i - -3598. What is the common denominator of 101\/16 and v?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r - 30 = -55. Let h be (-6*r\/145)\/((-33)\/(-110)). Sort 1, 0.5, h, 0.4 in descending order.\nAnswer: 1, 0.5, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54485974?\nAnswer: 2, 1381, 19727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.59\nAnswer: -1.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/(-48))\/(3015\/32562))\/(3\/62)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**5 + 174405*w**4 + 871910*w**3 + 348660*w**2 - 3487720*w - 4185120 = 0. Calculate w.\nAnswer: -34876, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1780\/9 - -198. What is the smallest value in -3, 0.3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1114506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1126709631 to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oltllorloo. Give prob of picking 1 r and 1 l.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15\/(-90) - (-38)\/12) + 1592.\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-5))\/(2\/(-10)). Let y(n) = n**2 + 3*n - 10. What is the remainder when y(h) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104984244.\nAnswer: 2, 3, 37, 269, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 + 4345*o**2 - 68435*o + 166335.\nAnswer: -5*(o - 853)*(o - 13)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 94251975 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 69212239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2693 + -18853\/7. What is the second smallest value in -32, -52, w, 0.3, 4\/3?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8750 + -8747. Factor -14\/9*l + 2\/3 + 10\/9*l**2 - 2\/9*l**p.\nAnswer: -2*(l - 3)*(l - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15341 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -8. Let z = t + -10.03. Let h = z + 0.03024. Round h to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 56.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 21 = -5. Suppose -h*r + 22 = 2*y, y - 19 = -y - 3*r. Let k = -14 + 15. Which is greater: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75102020 by -3755101.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c. Let t(z) = z**2 + 6*z - 2. Suppose 0 = 5*k + g + 8, 5*g - 2*g + 9 = 0. Let v = -125 - -116. Let r be v*(1 + k\/3). What is r*d(m) - t(m)?\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 2:34 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**3 - m**2 - 8*m - 5. Let w(b) = -2*b**3 - b**2 - 7*b - 4. Suppose -5*u + 2*n - 33 = 0, 0*n + 13 = -u + 2*n. What is u*w(h) + 4*v(h)?\nAnswer: -2*h**3 + h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 224 by -14.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y - 1. Let g be i(-1). What is the remainder when 2 + ((-2)\/(-1))\/2 is divided by 3*1*g\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -75*x - 238. What are the prime factors of y(-17)?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2. Let t(o) = o**2 + 5*o - 191. Determine t(j) + 6*y(j).\nAnswer: j**2 + 5*j - 203","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 89602, 89606, 89612, 89620?\n\"Answer: m**2 + m + 89600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*q**2 + 0 + 911\/2*q.\nAnswer: -q*(q - 911)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(-4*u - u + 3*u) + (-u + 1 - 1)*(1 + 2 - 4) + 8 - 5*u - 8 - 4 + 4 + u to the form w + m*u and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -5. Let n = -17\/42 - 2\/21. Let w = 0.1 + -0.1. What is the nearest to v in n, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*a + 32 = a, -2*h = 3*a - 77. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6379389 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 26, 4, 62, 2 in descending order.\nAnswer: 62, 26, 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, -3, -529 in descending order.\nAnswer: 10, 5, -3, -529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13555031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Factor -115*y**3\/4 - 113*y**2\/4 + 58*y - 1.\nAnswer: -(y - 1)*(y + 2)*(115*y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -24. Let n be 17\/(-5) - (-6)\/m. Is n bigger than -5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1739 - 208 - 237)*(2 + o**2 - 2).\nAnswer: 1294*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**10\/378000 - c**9\/37800 - c**8\/21000 + 31*c**4\/12 - 49*c**2. Let i(p) be the second derivative of u(p). Factor i(o).\nAnswer: -2*o**3*(o + 1)*(o + 4)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2936 is divided by 226.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -2. Let j = 5 + o. Suppose j*c = 3*c - 2. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10430 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2. Let u(o) = -4 + 8 - 4*o - 4. Give u(w(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 1\/21*t**8 + 0*t**4 + 0*t**3 + 0 + 0*t**6 + 0*t**7 + 0*t + 15*t**2 + 3\/10*t**5. What is the third derivative of g(c) wrt c?\nAnswer: 960*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 30191 = -3*o - 14*z, 30203 = 3*o + 5*z. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18317459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 n when three letters picked without replacement from nucuknuuunuunuukcnc.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {a: 2, n: 5, g: 4, x: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0 + 2. Let p be (j - -2)\/(3\/2). Solve -4*v + 4*g - 2*g = -16, 0 = 5*v + 2*g - p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 823*w + 440 = 845*w for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1\/3 (c) -0.0174 (d) -1.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16398 - 16401. Which is the third biggest value? (a) -4 (b) k (c) 6.8 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**14\/n)\/(n*n**(-5))*(n\/(n**(-2\/29)*n))\/(n\/(n\/n**(-1\/3))) assuming n is positive.\nAnswer: n**(1514\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6118 or -28\/39?\nAnswer: -28\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 4*c)*(180 + 622*c + 191 - 2409*c - 371) in the form r*c**2 + l*c + f and give r.\nAnswer: -7148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(99) + sqrt(11)) + sqrt(13) + 2 + sqrt(13) + 1)**2.\nAnswer: 27*sqrt(13)\/2 + 1197\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3744, 14932, 33564, 59634, 93136, 134064, 182412, 238174?\n\"Answer: -s**3 + 3728*s**2 + 11*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1035, 2029, 3009, 3969, 4903, 5805, 6669, 7489?\nAnswer: 8259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 202.8 or 49?\nAnswer: 202.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-two sevenths of a week?\nAnswer: 89280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/108*8*1.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (43 + -3 - 36)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2112 and 18432?\nAnswer: 202752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c0 - -8c?\nAnswer: 27c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2609122, 5218234, 7827344, 10436452, 13045558, 15654662, 18263764?\nAnswer: 20872864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 - 114 = -9*y + 93 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 10:39 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.38 + 0.072.\nAnswer: 2.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*u - 1 - 5, -h - 1 = 0. Let t be (6\/(-18))\/(1\/(-57)). Suppose 0 = 2*y + t - u. What is y rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 0*b**3 + 6 + 3*b + 6*b**2 + b**3 - 5. What are the prime factors of l(-4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3, 3*n - 2*n + 2 = v. Let u(j) = 4*j**2 + 2*j + 5. Let o(c) = -5*c**2 - c - 6. Let p(w) = -3*o(w) - 4*u(w). Determine p(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.23 + 0.83. Which is smaller: g or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -702.\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16586 + -2?\nAnswer: 16584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-471)\/(3\/10*(-5)\/2)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-32))\/((-18)\/(-30)*20\/(-144)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 813355, 813390, 813425, 813460?\nAnswer: 813495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-6\/7)*f)\/(f*f*f\/f**(-5)*f))\/((f**6\/f*f)\/(f**(-4\/5)\/f)))\/(((f*(f**(1\/7)*f)\/f*f)\/f**1)\/(f\/f**(2\/7))**(2\/5)) assuming f is positive.\nAnswer: f**(-613\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-10 - (-33 - 6 - -9))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/14)\/((-24)\/28)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179387?\nAnswer: 13, 13799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 3\/8 (c) -9 (d) 195\/7 (e) 4 (f) -10 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 19*g**2 - 49*g + 438. Does 44 divide f(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**3 - 3*n**2. Let o(z) = -8 - 3*z**3 + 2*z**2 + 8. Suppose 3*w - 6 = -0*w. Determine w*j(g) + 3*o(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 12:46 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747984?\nAnswer: 2, 3, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*s = -55, -3426*f + 3428*f = -s + 18. Solve 0 = 4*c - 2*x - 14, -f*c + 37 - 15 = -x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32698.45 - 32699. Let x = -323\/15 - -65\/3. Sort m, -1\/2, x in increasing order.\nAnswer: m, -1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/12)\/((-20)\/(-12))*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -13*u. Let m(q) = 2*q - 4*q + 0*q. Give m(o(p)).\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + o**2)*(-1 - 2*o**2 + 1) + 64*o + 26*o**4 - 64*o to the form d + c*o + t*o**3 + r*o**2 + a*o**4 and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + 5*(sqrt(637) + 0))**2.\nAnswer: -1120*sqrt(13) + 63764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 152580807+3\nAnswer: 152580810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-239 + 134 - 296)*(-1 + 1 + 1)*(5*d - 4*d + d + (-6 + 3 + 2)*(-2*d - 1 + 1) - 5*d - 3*d + 27*d) in the form f + a*d and give a.\nAnswer: -9223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(16\/3)*l*l)**(1\/15) assuming l is positive.\nAnswer: l**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -343*v**6 + 2*v**3 + 8262*v**2.\nAnswer: -41160*v**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 5 (b) -0.21 (c) -0.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.729 - -328.271. Let w = y - 328.5. Let x = -5.7 + 6. What is the nearest to 1\/10 in -1, w, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23321443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 7*v - 5*v + (2 - 2 - 1)*(2*v - 2 + 2) - 3*v + 3*v + v + 2*v + 0*v - 12*v)*(0*v**3 - v**3 + 0*v + v).\nAnswer: 5*v**4 - 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 8 = 261*b - 257*b, -4*k + b = -14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-2))\/(7\/(-14)))\/((-2)\/(-46))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010120202201 (base 3) to base 9.\nAnswer: -2116681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 - 2 = 3*a, -2*r + a = 9. Let h be ((-4)\/(-8))\/(1\/r). Which is greater: -3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*p**3*z + 922*p**3 + 26*p**2*z + 3*p**2 + 117*p*z - 140026*z wrt p?\nAnswer: 126*p*z + 5532*p + 52*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*g + 337 - 1774 + 585 - 5772 = 0 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27167, 52283, 77399?\nAnswer: 102515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 30*h + 28. Let q be d(14). What is the hundreds digit of (q + 2 - (-15)\/1)*14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.72 - -1.62. Suppose -3*h = 15 - 3. Let g be h*(-4)\/(-264) + (-2)\/(-6). Which is the nearest to 0? (a) g (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7304024 + 34.7.\nAnswer: 37.4304024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (4 + -1 - (20 - (63 - 34))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176.6 + -177. Sort s, -14, 3.\nAnswer: -14, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.045, 0.3, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55377*v**4 + 188*v**2 - 187 wrt v?\nAnswer: 1329048*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 8 = -f, -2*f - 400262*g - 13 = -400257*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6380.5 - 6380. What is the third smallest value in -0.8, 3\/20, 4, a, -1\/3?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3943905, -3943768, -3943391, -3942654, -3941437, -3939620?\nAnswer: -3937083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -1\/3*n**3 - 6 - 5*n + 7\/2*n**2. Give h(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 2*m - 32. Let p(s) = -3*s**3 - s**2 + 9*s + 8. Let g(a) = -4*a**3 + a**2 + 9*a + 9. Let q(x) = m*g(x) - 5*p(x). Determine q(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2 - 20*b + 2. Let t(w) be the third derivative of w**5\/30 - 2*w**2 - 34*w. What is t(q(a))?\nAnswer: 800*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 127153 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d. Let p(y) = 2*y + 1. Let l(j) = -3*j - 1. Let z(v) = -5*l(v) - 6*p(v). Let s(u) = -2*m(u) + 6*z(u). Is 8 a factor of s(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {k: 7, a: 9}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8*z + 235. Give d(27).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.78? (a) 0 (b) 4 (c) -1\/4 (d) -6 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 993 - 1043.1. Let z = g - -50.1007974. What is z rounded to five dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4\/3 - 100*f**3\/3 - 218*f**2 - 336*f = 0. What is f?\nAnswer: -3, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (489 + 3 - 3) + 42 + -50. What is the highest common divisor of g and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24a60a2 (base 11) in base 10?\nAnswer: 4341834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**2. Let b be 3 + (0\/4)\/(-2). Let u(s) = 9*s + 6*s - b*s**2 - 15*s. Determine u(n(p)).\nAnswer: -48*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 650992 divided by -14152\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212755, -425609, -638463?\nAnswer: -851317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -571 (b) 1 (c) -1\/6 (d) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (8 - (17 + -57))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 6:42 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 29811358?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/11))\/(p**12\/p)*(p*p*p**6)**(-6) assuming p is positive.\nAnswer: p**(-637\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16343 - 13286. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {c: 7, j: 1, y: 5, p: 1, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 12. Let v be m(-14). Sort -12, v, 0 in descending order.\nAnswer: v, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -317, 0.4, -46, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**3 + 2*n**3 - 3*n**3 + (7*n - 4*n - 2*n)*(-7 - n**2 + 7) - 5*n**3 - 3*n**3 - 7*n**3.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) 150 (c) -0.2 (d) 31 (e) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuu. Give prob of picking 3 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 533420 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378226854 and 324?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21010 (base 5) in base 11?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-36)\/66 - 109\/22) + -1)*-2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*l - 645 = -200*l. Let x = l + 134. Suppose -240 = w - 6*w - 3*h, -145 = -3*w - 2*h. What is the highest common divisor of w and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b**2 + 4*b + 1. Let u(r) = -11*r**2 + 10*r + 1. Let j(q) = 9*t(q) - 5*u(q). Give j(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*k + 170, -15*j + k = -14*j - 52. Let v(c) = 39*c**2 + 27*c. Let b(w) = 3*w**2 + 2*w. Determine j*b(a) - 4*v(a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 24. Let p be (-6)\/(-4)*(-1)\/6. Let x = 101 - 705\/7. Which is the closest to m? (a) x (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208848, 411636, 614424, 817212, 1020000, 1222788?\nAnswer: 1425576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -18*c - 86. Let b(o) = -28*o - 129. Let m(k) = 7*b(k) - 11*g(k). Give m(-26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 9842 + 1008. Suppose -4*o + 29*o - d = 0. Let q(j) = -j + 4. Calculate the remainder when o is divided by q(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-70)\/(-40) + 1\/4. Let r be (-36)\/162 + i\/9. Let f(p) = 2*p + 24. What is the units digit of f(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - (0 + 2 + 1). Suppose 3*k - 2*t + 14 = 0, 2*k - 7*k = -4*t + 24. Let f be -32*((-8)\/k)\/((-10)\/1). Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -934 - -1416. Suppose 2*i - 318 = -0*i + p, -v = -3*i + 4*p. Suppose 0 = 43*a - 28*a - 600. What is the remainder when i is divided by a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l = -5*c - 15, 2*l = -4*c + 14. Solve 0 = -4*o + 16, 4*s - l = s - 5*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15918 and 92526 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**3 - 127*t**2 + 127*t**2 + t**3 + 7*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 110, 86, 42, -28, -130, -270?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/6 in -155, -1, 1\/8, -0.06, 124?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*2\/(-20))\/(5\/240*8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 19*z - 96. Let g(h) = 14*h - 97. Determine 4*g(a) - 3*x(a).\nAnswer: -a - 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 25763?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 108\/81*(762281\/4 - 1)*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/207 - (-1092)\/138. Solve 7*g + 16 = 2*g - p, p = -3*g - n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6269 is divided by 98?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**7\/(p**(-3)*p*p*p*p*p)*(p**4*p)**16 assuming p is positive.\nAnswer: p**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54832*k*u**3 + 4997*u**3 - u wrt k.\nAnswer: 54832*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 8, 4 in descending order.\nAnswer: 8, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -218*q**2 + 520*q + 14. Let k(i) = -2. Let o(x) = 14*k(x) + 2*t(x). Find the second derivative of o(r) wrt r.\nAnswer: -872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 1 + 4 + 1)*(0 - 4*n - 3 + 1) as a*n + w*n**2 + z and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 8*p - 9. Let q(d) = 2*d - 2. Let x be (0 - 0) + 14\/((-42)\/33). Let o = -1 - 1. Let g be x + (1 - (o + 1)). Determine g*q(w) + 2*t(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13706 divided by 6853?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 1030 + 686. What is the common denominator of 83\/8 and (-2)\/6 - n\/552?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38623379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2. Let l(j) = 3*j**2 - 5*j. Let o(x) = x. Let m(b) = -3*l(b) - 15*o(b). Determine m(n(i)).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57162 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25*-2727*137\/92475.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x. Let t(n) = -3873949*n**2 - 17*n. Calculate t(q(z)).\nAnswer: -3873949*z**2 - 17*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 647767785 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/121?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 6*c + 1. Suppose 0 = 18*a + 287 + 1405. Let v = -98 - a. Give g(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-266)\/(-931) - 17904\/(-7).\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/2, -5, 1\/4, -0.3.\nAnswer: -5, -0.3, 1\/4, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 - 2*i + 3. Suppose 0 = 4*r + 2 + 14. Let k(m) be the third derivative of m**5\/30 - m**4\/24 + m**3\/3 - m**2 + 12. Calculate r*f(l) + 7*k(l).\nAnswer: 2*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 2*a - 0*a - 70, 3*i - 4*i + 329 = -9*a + 54 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 + -3 + -3 + -3. Let p be 1953\/27 - b\/3. Let q be (1 - 0) + (10 - -1). Calculate the greatest common factor of q and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*k = -k - 64, 3*c = -5*k + 48. What is the smallest common multiple of c and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2337323 is divided by 1168126?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 11) to base 3\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from rfmrrmmmmrrmmmrmf.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**6 + 5297*m**5 + 2*m**3 - 190*m**2 + 3*m - 2?\nAnswer: -120*m**3 + 317820*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 203, 291, 363, 413, 435?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + -5 + 6 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -78 in -0.5, -39395, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 45*w - 390. Let i be k(18). Solve -99*s + 16 = 4*x - i*s, -2*s - 4 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -1425*l + 8547. Let n be s(6). Let a(x) = 5*x**3 - 3*x**2 + 3*x + 1. Let k(b) = 6*b**3 - 4*b**2 + 4*b + 2. Calculate n*k(i) + 4*a(i).\nAnswer: 2*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/99*6\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*s = 864, 4*a - 55*s = -54*s + 708. Solve 41*j = 70 + a for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2267 is divided by 2222?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((o*(o*o\/((o**(-2\/25)*o)\/o))\/o)\/o)\/o)\/o)\/o*o\/(o\/(o*o*(o*o\/(o**(-14)*o*o*o))\/o)))**(2\/25))**(3\/8))**22 assuming o is positive.\nAnswer: o**(4983\/625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25391119?\nAnswer: 13, 1953163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/31 and 43\/1457.\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 184 - 159.4. Let r = 23.6 - f. Which is the nearest to 1? (a) 4 (b) 0 (c) r (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -154976280 and -3.\nAnswer: 464928840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*w + 17. Suppose -36 = 4*l - 0*l. Let k = l + w. What is the remainder when k is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/58 and 59\/92976.\nAnswer: 2696304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/9 (b) 2\/9 (c) -36\/11 (d) 5\/7 (e) -5\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = y + 2*y, 29 = 4*o + 5*y. Suppose -o = j - 15. Let z = j - 12. Sort z, 2, 4 in descending order.\nAnswer: 4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528539 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 982 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(544))\/(sqrt(2) + (sqrt(16) + sqrt(80)\/sqrt(5))\/sqrt(8) + sqrt(2)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2455 (base 6) to base 9\nAnswer: -748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*1\/(6\/(-360))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64 - (-1)\/(4\/12).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -120 + -164?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 18\/359 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.10847 + 104.10847. What is the closest to 2 in 2\/7, -2\/13, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 2*i - 4*i)*((0 + 2 - 1)*(0*i**2 - 4*i**2 + 2*i**2) + 3*i**2 - i**2 - 4*i**2 + 2*i**2 - 4 + 4).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3541 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(243) + 1)*2)**2 - sqrt(6)\/(sqrt(2)*-2)*-4) + 1)*3.\nAnswer: 210*sqrt(3) + 2931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuoo when four letters picked without replacement from ugomouuhgu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -1\/8 (b) -5 (c) 631564\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -55*g**2\/2 - 162*g + 139. What is the tens digit of x(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from {a: 4, v: 3, i: 1, y: 4, l: 1}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 17*z - 7. What is h(16)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -0.0302 (c) -1\/64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 12:24 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/17)\/i)\/(i*i*i*i**(-9\/7)*i*i) assuming i is positive.\nAnswer: i**(-428\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5082701041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = 2143*g - 2137*g for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 557 + -557. Let r(x) = 4*x**3 + 4*x - x**2 - 7*x + 4*x + x - 1. Let n be r(1). Solve h - n = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 2. Let a = -7 + 8. Let n(m) = -m + 1. Determine a*n(u) + r(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*85 - -2*4\/8. Suppose 0 = -4*n + 2*j + 458 - 114, b = n + 2*j. What are the prime factors of n?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 2. Let y(x) = -x. Give m(q) + 4*y(q).\nAnswer: -7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3740921*n**4 - 3*n**3 - 30320290*n**2 wrt n.\nAnswer: 89782104*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 85*t + 850. Let u be q(9). Solve 0 = -u*x + 29*x - 50 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 15) in base 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**2 - 74*u - 25. Let z be d(-28). Let c = 311 + z. Solve 24 = 6*o - c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y - 137 = 110 + 159. Solve 5*r - 12 = -3*i, 4*r + 3*i + 2 = y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 5:36 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(108) - sqrt(12) - (4*sqrt(84))\/sqrt(7))\/((2*sqrt(1152))\/((sqrt(30)\/sqrt(2))\/sqrt(5))).\nAnswer: 7*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/242928 and -31\/1386?\nAnswer: 2672208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 + 2*j**2 - 2*j**2)*(46 + 151 + 11) to g + x*j**2 + q*j and give x.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 619 - 615. Let j(h) = 2*h**3 - 7*h**2 - 6*h + 10. Let x be j(t). Factor -1\/2*z + 1 + 1\/2*z**4 - 3\/2*z**x + 1\/2*z**3.\nAnswer: (z - 1)**2*(z + 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2799*i*p - 1150444*i + 244*p wrt p.\nAnswer: -2799*i + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1065 - 596. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88265?\nAnswer: 5, 127, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 12 = -n. Let g be 7\/((-28)\/3) - (-3)\/4. Solve g = -n*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 + 0\/6 + -4. Suppose 2*u - l - 12 - 13 = 0, -w = -2*l. Let s(z) = z**2 + 6*z - 1. What is the remainder when u is divided by s(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 44, 0.1, -5, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5 + 2196*h**2 - 124*h + 3 - 1123*h**2 wrt h.\nAnswer: 2146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -4*j - 16, -601*d - 2 = -2*j - 598*d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + i - 35 = 0, 5*i + 391 = 4*w + 419 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzw when three letters picked without replacement from ekzzzeettazzkkztzwz.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16271293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64550038.\nAnswer: 2, 7, 631, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 11:11 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 52*z - 19*z = -619916. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*u - 3. Suppose -150 = 4*s + u*m - 805, -5*s - 2*m + 817 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**21)\/d*d*(d\/d**(-3\/5))\/d)\/(d**(-6))**28)**(-11\/8) assuming d is positive.\nAnswer: d**(-10483\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 7 - (-12 + -12) - (-5 - 0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 5*s = -4*h - 95, 4*h + 233 = -9*s + 152 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -12*l**5\/7 + 153*l**4\/7 + 57*l**3 + 90*l**2\/7 = 0.\nAnswer: -2, -1\/4, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222313132 (base 4) to base 6.\nAnswer: 3432514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 22*j. Let z be h(4). Suppose -z = -2*i - 0*i. What is the units digit of ((-33)\/i)\/((-1)\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 163*y + 357868 = 159*y, 5*d - 4*y - 447341 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjtl when four letters picked without replacement from jltjttljtj?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000493 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 226316866 to the nearest integer?\nAnswer: 15044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-15) - 269\/(-5). Let h = a - -61. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.399725435 from -41.\nAnswer: -41.399725435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 132788999 to the power of 1\/3, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from ffffjtfjfffffjv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -5. Let b(d) be the first derivative of 10*d**3\/3 + d**2\/2 - d - 1. Is b(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -2\/44223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r + 5023 - 5063 = 0. Factor -2\/5*b**3 - 2*b**r - 16\/5*b - 8\/5.\nAnswer: -2*(b + 1)*(b + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 7*f**2 - 3*f - 1. Let r be w(6). Suppose -118 = -q + r. Let l be 10*((-324)\/(-15))\/4. Calculate the highest common factor of q and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3655 + -4?\nAnswer: -3662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2745\/4 - -690. Which is greater: 4 or r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/2 - (154\/(-7))\/11. Let v be (2\/6)\/(w\/4). What is the nearest to 0.2 in 2, v, -26?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by -3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y - 90 = -5*i, 6 = -3*i. Let j(g) = y*g - 44*g + 23*g. Let r(s) = 10*s. What is j(r(l))?\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a - 2 + 3 - a - a.\nAnswer: -8*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*m - 98*m + 7*m as q*m + c and give q.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 56*v**2 + 57*v - 110. Let d be c(55). Put d, 51, -1, 2 in increasing order.\nAnswer: -1, d, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 7:10 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:04 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 6:31 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -135*u**4\/4 + 110*u**3 - 50*u**2 - 40*u + 61. Factor v(d).\nAnswer: -5*(d - 2)*(3*d - 2)*(9*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/26 + (-12259968)\/(-208) + -5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4851, 38821, 131029, 310593, 606631, 1048261, 1664601?\n\"Answer: 4853*n**3 + n**2 - 4*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (245\/42 - 6)*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10)\/(-5 + (-108)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -22819, -22018, -21217, -20416, -19615?\n\"Answer: 801*r - 23620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -125*i - 84. What is w(-6)?\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -j - 24, 3 + 3 = w + j. Suppose 2*p - 26 = 28. Let a be (-25)\/(-3) + 45\/p - 2. Solve w*d - 3 = -a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667244 is divided by 353?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121\/3 - 40. Let t = -20.3 - -17. Let n = t + 3.5. Which is the closest to m? (a) 5 (b) -0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92005 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 6:30 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(612) + 0 + -2 - (1 + sqrt(68) + (sqrt(833) - (-2 + sqrt(833) + sqrt(833))) + sqrt(833))))**2.\nAnswer: -32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**4 + b**2 - 3*b. Let y(l) = 6*l**4 + 3*l**2 - 7*l. Suppose 4*d + 12 = -16. Let f(k) = d*g(k) + 3*y(k). Find the third derivative of f(q) wrt q.\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7)\/m)**2*(m**3)**46 assuming m is positive.\nAnswer: m**(948\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -348 + 120 + 13597*c + 124 + 140. Is u(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2920 minus -0.02?\nAnswer: -2919.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1101*s**2. Let t(d) = -10*d - 3 + 37*d - 23*d + 3. What is t(k(z))?\nAnswer: 4404*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 1 - 3*m + 4*m)*(-6*m**3 - 9*m**3 + m**3) as h + a*m**2 + o*m**4 + k*m**3 + l*m and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193 + -192. Let n(y) = 289*y**3 - 2*y + 1. What are the prime factors of n(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 1:53 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13.2601882 + -38.9\nAnswer: -25.6398118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*s - 12, -5*m = -2*s + 4*s - 37. Suppose -m = -6*o + 65. Suppose -o = 2*b - y - 60, 46 = 2*b - 2*y. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50178 - 6*p + 2*p**3 + 50033 + 5*p + 3*p**4 to o*p**3 + i*p**2 + d + g*p**4 + t*p and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 5:58 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/11)*p)**(11\/4)\/((p*p**(-16))\/(p**(22\/3)*p)) assuming p is positive.\nAnswer: p**(349\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1604399?\nAnswer: 1604399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (7\/4 - 4\/(-16)). Does 3 divide (n\/1)\/(0 + (-9)\/(-135))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 - -6.1. Let h = z + -5. Which is the nearest to -1? (a) -1 (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by -5.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + -122144?\nAnswer: -122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.989514967 - -6.\nAnswer: 10.989514967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2833.69kg in micrograms?\nAnswer: 2833690000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 18*k + 13. Let z be d(7). Let c = 127 + z. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b. Let s(r) = 2*r**2 - 3*r + 8508. Calculate s(k(x)).\nAnswer: 8*x**2 + 6*x + 8508","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 162362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-240)*(-1485)\/3564?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*j + 16*j - 360 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j**2. Let p(k) = k**2 - 2*k - 1. Let f(c) = -3*c**2 + 2*c + 1. Let b(g) = f(g) + p(g). Calculate b(m(l)).\nAnswer: -128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-25)*995\/8756?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177960 is divided by 7005.\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/650318 and 39\/3251590?\nAnswer: 3251590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -394\/3 - -133. Let a(w) = w**2 - 6*w + 3. Let t be a(5). Let r be (2 - 0)\/(70\/7). Sort t, r, s in descending order.\nAnswer: s, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293306687 to the power of 1\/3, to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*o**4 - 2 - 19*o**4 + 13*o + 44*o**4 - o**3 - 16*o**4 + 3 to p*o + q + t*o**4 + s*o**2 + k*o**3 and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1386 - 4*n + 6*n - 729 to g*n + r and give r.\nAnswer: -2115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1635, -6707, -15173, -27045, -42335, -61055, -83217?\nAnswer: -108833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(228\/(-162))\/(110\/990)*9\/4?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4*m\/(m**(-6)\/m)*m*m**(-4\/5)\/m*m*m*m\/(m*(((m\/(m*m\/m**2*m))\/m*m)\/m)\/m)*m assuming m is positive.\nAnswer: m**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74393039?\nAnswer: 7, 10627577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322436 is divided by 321706.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 0*a**2 + 0*a - 4*a**4 - 1\/4*a**5 + 0*a**3 + 0 = 0.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26285521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32717 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5623837 is divided by 213?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 70*i**2 + 4041*i - 1. What is m(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23464, -23457, -23440, -23407, -23352, -23269?\n\"Answer: g**3 - g**2 + 3*g - 23467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117239 + -78306. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - 1300003212231?\nAnswer: -1300003212322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u - 5. Suppose -25 = -u*y + 6*y. Let i = y - -111. List the prime factors of i.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 157592\/459063 - -2\/13911. Let h = -3109\/693 + u. Find the common denominator of 46\/9 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*s - s - 42*s)*(-2*s**2 + 1 - s**4 + 3*s**2 - 2*s**2).\nAnswer: 98*s**5 + 98*s**3 - 98*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 688.5849706 to the nearest 10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3119 = -30*u + 841. Find the third derivative of -39*t**5 + t + u*t**5 + 440*t**2 - 2*t - 464*t**2 wrt t.\nAnswer: 5580*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 5*q**2 + 5*q + 6. Let i(k) = k - 9. Let n be i(5). Let t be h(n). Let s(v) = -1 + 0*v**2 - 2*v**2 + 3*v**t - 5*v. Calculate s(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40833752 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35753, -35737, -35721, -35705, -35689, -35673?\n\"Answer: 16*r - 35769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521*n + 1000*n**3 - 1114*n + 593*n.\nAnswer: 1000*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -405898 + 5?\nAnswer: -405893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -4. Let b(g) = -69*g**2 - g**3 - 5 + 4*g + 1 + 72*g**2. Give b(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45660065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 37100.67 millennia in months?\nAnswer: 445208040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 807224.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**3 + 4 + 4*h**3 - 5*h**2 - 2*h**3 - 3*h. Suppose 5*f + 0*f + 25 = 0. Let b(x) = x**2 + 2*x - 19. Let g be b(f). What is c(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.546348 months in millennia?\nAnswer: 0.001295529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**4 - 255*v**3 + 2175*v**2 - 5125*v = 0.\nAnswer: 0, 5, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0, -0.3, 325 in increasing order.\nAnswer: -0.3, -1\/4, 0, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.46 (b) -12 (c) 9\/181 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (8 + -22)) + (1 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -70934, -143090, -215250, -287414, -359582, -431754?\n\"Answer: -2*d**2 - 72150*d + 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o + 2*o - 4*o + (-2 + 4 + 0)*(0*o + 0*o + 2*o) + 6*o - o - 3*o + 35 + 2*o - 35 to the form g + q*o and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-5)\/(64300\/(-144678)). Let m = 32\/643 - u. Find the common denominator of m and 93\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = -2*g. Let x be (-2 + g)*(-3 + 0). Find q, given that -4*q**5 + 2*q**5 + x*q**4 + 8*q**2 - q**4 - 2*q + 0*q - 12*q**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -94, -126, -156, -184, -210?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -553 (base 10) to base 7\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*f = 20*f - 1235 - 508. What is the greatest common divisor of f and 2247?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128604.7km to millimeters.\nAnswer: 128604700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -22.5003\nAnswer: -9.00012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-6) + -4 + 4 + -1055. Is -1056 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, e: 1, c: 4, s: 2}. What is prob of picking 1 c and 1 e?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -20b7?\nAnswer: 20b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/16 - (-65367)\/648 - ((1 - -9) + -5).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7984658 rounded to 1 dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2115\/9607 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 229.245012ns?\nAnswer: 0.00000000000265329875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 29. Let z be (88\/6)\/4 + (528\/99)\/(-8). Solve 5*u = z*k - 28, -i*u + u - 5 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 1) + 14 + -6 + -4 + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*w - 3*v, v - 2 = -w + 3. Suppose 9*f + 2*f = 6*f. Suppose f = -w*r + 3 + 3. Let c(m) = 2*m**2 + m + 1. What is c(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.3125 to 1 decimal place.\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 76. Let n(i) = -2*i + 0*i + x*i. What is n(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -33. Let g(k) = k + 5. What is the remainder when g(j) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 10:28 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(162)*1*-5)**2.\nAnswer: 20250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -172, -261, -352?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/8 + 13495986\/(-56). Round a to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/486293 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1135 + 3262. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 2)\/((-3)\/2). Solve -t*o = 2*j + 4, -o + 9 = -2*j - 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**3*y**6 + 35*t**3*y**3 + 8*t**3*y - 4*t*y**2 wrt y?\nAnswer: 120*t**3*y**3 + 210*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-43 - -62) + -24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 5)*(2*p**3 + 242*p - 241*p - 3*p**3 + 2).\nAnswer: 10*p**3 - 10*p - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**9\/52920 - g**8\/7840 + g**7\/2940 - g**6\/2520 + g**4\/24 + 3*g**2. Let l(s) be the second derivative of b(s). Factor l(n).\nAnswer: 2*n*(n - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 3:30 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*i + 24868 = 23554 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5261, -10611, -15957, -21299, -26637?\n\"Answer: 2*c**2 - 5356*c + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(48\/60*(6 - (-356)\/(-56)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 62\/1085 - (142\/(-210) + 6\/45)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140 - 146. Let j be (-6)\/33 - 0 - (-190)\/(-44). Which is greater: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276860?\nAnswer: 2, 5, 109, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*h**3 - 29*d**2*h**2*z + 29*d**2*h - 2*d*h**3*z + h**3 wrt z.\nAnswer: -29*d**2*h**2 - 2*d*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -65, 4, -19.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-27))\/((-81)\/(12393\/(-102)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 404372087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 2*k + 12 - 3*k. Let q be v(-10). Let p(t) = -3*t**q + 20*t - 20*t. Let w(h) = -2*h. Give w(p(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 0)*(0 - 0). Let s be (-6)\/24 + (-26)\/(-8). Suppose w = 4*i - s*b - 4, -3*i + 32 = 5*b - 0*b. Solve k = -1 - i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/2)\/2)\/(3\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176534639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494358 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 2*l - 11, -77*l = -82*l - a - a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17942*z + 644 = 17896*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + 4*sqrt(700) - (sqrt(700) + -1*(sqrt(700) + -2)))**2 + -1.\nAnswer: 80*sqrt(7) + 11202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -12132?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -132*x**2 - 30*x - 14. Let z(u) = 44*u**2 + 10*u + 5. Let v(t) = 5*o(t) + 14*z(t). Find the second derivative of v(w) wrt w.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 694541 - 0.1017038.\nAnswer: 694540.8982962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvhhvvvhvv. Give prob of picking 1 v and 3 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(58\/435*10*(-2)\/(32\/(-4)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/4 - 63\/12 - (-4928)\/462\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/255)\/((-1)\/6).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 10*d**2 - 14*d - 51. Determine t(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 12) in base 4?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - (sqrt(1872) + 1 + sqrt(1872)))**2 + -5 + 1*1*sqrt(1872) + -1 + -4)*1.\nAnswer: 36*sqrt(13) + 1863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.06845471.\nAnswer: 0.20536413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28036 and 35988.\nAnswer: 252239892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53226 - -75217. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -35. Suppose 5*i - 3*k = 417, -15*k = 3*i - 18*k - 255. What is the greatest common divisor of g and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 - 5*b**2 - 2*b**2 - 2 + 73*b.\nAnswer: -b**2 + 73*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/6209 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46620 and 34632?\nAnswer: 1212120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 39388588.\nAnswer: 39388588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*i, 0 = -4*b - 0*b - 4*i + 44. Solve 8 + 19 = b*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - d - 3*d - 8, -5*u = d - 16. Let x be (-1 - -4) + u + -1. Suppose 6*o - 2*o = x*b + 31, -5*o + 5*b = -35. Solve o - 19 = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**12*z*z\/z**(-2)*z**(-14\/3)*z*(z*z*z**6*z*z)\/z assuming z is positive.\nAnswer: z**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -7. Let r = 10 - s. Sort -1, r, 0.\nAnswer: -1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(1 - (4 + -2)). Suppose -5*r - 29 = -2*a - a, 5 = -5*r - 5*a. Put v, r, 1 in decreasing order.\nAnswer: 1, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210 + 120011?\nAnswer: 121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 153968 or 153974?\nAnswer: 153974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 7:42 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2964 divided by -12\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*k**2 - 5*b**3*k + 151*b**2*k + 2*b*k + b + 1460025*k**2 - 3 wrt k.\nAnswer: 2*b**3 + 2920050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -z + 92, -z - 8 = 5*t - 100. Suppose 2*x - 64 = 26. Let g = z - x. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-615)\/2337)\/(25\/10)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-209)\/(-1254) - (4\/(-10) + 343\/(-30)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8222162 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 - -132?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -46*6\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34018392 is divided by 20058?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4 = -2*r - 2*g, -16 = -4*g. Let j(y) = -y**2 + 5. Let k be j(0). Which is the biggest value? (a) r (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 33579*b - 906586. Determine t(27).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*i**5 + 2*i**4 - 36*i**3 + i**2 - 360409*i?\nAnswer: 200*i**3 + 24*i**2 - 216*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 10*o**2. Let t be l(-1). Suppose m = -m + t. Sort 4, m, -3.\nAnswer: -3, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9870 and 16281.\nAnswer: 53564490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**2 - 36*t + 14. Let o(u) = u**2 - 7*u + 3. Let k(b) = 2*g(b) - 11*o(b). Give k(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3675 + 3549 = 42*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x - 15. Suppose -5*o = x*i - 10, i = -3*o - 0 - 6. What is the first derivative of -7 + 2 + 2 - 11*k**4 - i wrt k?\nAnswer: -44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1182 and 38994.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + f - 64 = -3*w, -5*w = -5*f - 130. Let m = 14 + w. What is the highest common factor of 66 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9063 (base 10) to base 3.\nAnswer: 110102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/51991205 and 26\/49.\nAnswer: 51991205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 + w**2 - w + 1. What is d(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -34.9. Let t = g - 11.9. What is the nearest to t in -2, 26, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 15.746912 rounded to 2 decimal places?\nAnswer: 15.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3277712\/69 - 47504. Let h = -6\/23 - f. Let t = 0.1 - 0.08. Which is the closest to -0.2? (a) t (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-16\/7)\/h*h**(-15))\/((((h*h\/(h\/(h*h**9)))\/h)\/h)\/h*h**6))**(14\/9) assuming h is positive.\nAnswer: h**(-452\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7848*y**2 - 5862*y + 2. Let k(l) = 102024*l**2 + 76221*l - 27. Let t(x) = 27*i(x) + 2*k(x). Find the second derivative of t(s) wrt s.\nAnswer: -15696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -10 - ((31 - 19) + -1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2 - 116417*o\/3 + 16375040\/3 = 0 for o.\nAnswer: 1280\/9, 12793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**3 + 85484*v**2 - 170984*v = 0. What is v?\nAnswer: -21373, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 367\/5. Is -2 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1474 = -55*r + 1584 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96452809801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 940550 and 4630400?\nAnswer: 60195200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 2, h: 1, k: 1}. What is prob of picking 1 s and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3216167309 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -3\/8, -0.2, 1065, 54?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(117*(-15)\/(-540)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 12) to base 8.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.37 + -0.93. Let p = -6 - k. What is the second biggest value in -3\/4, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.1288956.\nAnswer: -0.5155824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 5*y - 3. Let o(s) = -s**2 - s + 5. Let x be o(0). Let i be b(x). Let q = 240 - 248. Is q < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvv when three letters picked without replacement from xvxxxxxxv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21629560 and 1370?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t - t**4 + 31*t**3 + 30*t**2 - 90*t**3 + 31*t**3 + 28*t**3 in the form m*t + c*t**2 + k*t**4 + n + g*t**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4683 less than -0.5?\nAnswer: -0.0317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 29305776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h - 2. Let p(i) = -i - 1. Let o(a) = -g(a) + 3*p(a). Let d be o(-5). What is the units digit of (-4)\/6 + d\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*d**3*x**6 - 409*d**3*x**2 - 520*d*x**5 - 124*d*x**2 wrt x.\nAnswer: -2760*d**3*x**3 - 31200*d*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (61*16\/4392)\/((-4)\/(-306))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19472 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*((-832)\/20)\/(-4). Let q = -84 - p. Let l = q + 59. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 441? (a) 1\/3 (b) 0 (c) -3\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39 + 1 - 8)*(86*g + 89*g - 2 - 188*g) - g - g + 5*g in the form a*g + z and give z.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/286 and 41\/10416186.\nAnswer: 135410418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000680409 rounded to 5 dps?\nAnswer: -0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 2}. Give prob of sequence lc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 14*s**2 - 33*s - 17. Let p be n(15). Let w = p - -1229. Does 41 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 925 and 925.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((19 - 10) + 0 - 8) + -7 + -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/2870 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19)\/(-7) + (-2 - 1). Put 1\/6, 1\/10, k in decreasing order.\nAnswer: 1\/6, 1\/10, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h + 5*n - 190, -4*n - 69 = -h. Suppose -95*o + 15270 = -h*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*n - 12, 0 = -k - 5*n - 12 - 6. Let l(m) = 5*m + 2. Determine l(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bssssssssossssssss. Give prob of sequence sb.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**3\/3 - 3*q**2\/2 + q - 4. Let z be s(4). What is the second derivative of -j - 5*j**5 - j + 2*j**z - 3*j wrt j?\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/2 + 5*o**4 - 29*o**3\/2 + 4*o**2 + 24*o = 0. Calculate o.\nAnswer: -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 2}. Give prob of picking 1 f and 1 t.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpegbgme. What is prob of sequence gmrb?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 + 4 = 0. Suppose y*g - 4*g = 2*g. Solve 4 = -g*h - 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4493 - 11*m**2 + 3*m**3 - 4491 + 46*m**3.\nAnswer: 49*m**3 - 11*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from bptpcwccwccwkww?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 231 by 2.\nAnswer: 231\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -91.4? (a) -3\/7 (b) -0.4 (c) -5 (d) 0.3 (e) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2394 and 5094.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2391486*-0.6.\nAnswer: -1434891.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. What is the units digit of (10*(1 - 0))\/k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 928 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/12 + (-1 - 71178\/(-8)). Suppose -45984 = 3*f - 2*u, 4*u + j = -3*f - 37087. Let c = f - 102672. Round c to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 19*w + 6. Let p be z(14). Is ((-576)\/p)\/((-6)\/(-140)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 7*z - 2. Let a(d) = d**3 - 6*d**2 + 6*d - 2. Let o be a(5). Let x(t) = -3 - t + o. Give c(q) + 5*x(q).\nAnswer: -q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + 6 + -3 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.012 + 0.202. Let g = o + 0.11. Which is the closest to 2? (a) 1\/2 (b) g (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80398 and 976?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22276695*l*m**2 - 467*m**2 + 2*m + 1002 wrt l?\nAnswer: 22276695*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h - 3*g + 9 = 0, 2*h - 235*g + 3 = -234*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-2)**2 + -3 + sqrt(75) + 1 + -2 - (0 + sqrt(108) + -2 + sqrt(432)).\nAnswer: -13*sqrt(3) + 298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2448542 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 131, 178, 227, 278, 331?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 1.78454\nAnswer: -1.48454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 2:46 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + f**2 + f**2)*(-275 + 9*f**2 + 13*f**3 + 275).\nAnswer: 78*f**5 + 54*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -8*z. Suppose z = p - 38042 - 24958. Suppose 0*u - u - p = 0. Round u to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 12:12 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01199 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x - 8 = 34 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 5*m**2 - 4*m. Suppose -2*p + 2 = -2*f, f - 3*p = -p - 6. Let g be h(f). Let r = 97\/3 + g. Is r != 0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**4 - 45*p**3 - 955*p**2 + 45*p + 950 = 0 for p.\nAnswer: -10, -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1418*p - 1418*p - 260*p**2 as d*p**2 + l*p + f and give d.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 55 + 75 = 0, 756 = 4*v - 3*g. Calculate the highest common factor of 492 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 m when three letters picked without replacement from {k: 2, v: 2, m: 1, d: 1, f: 2, w: 4}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28750)\/2*48\/(-3). Round k to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 6691532*t + 5597075063378.\nAnswer: 2*(t + 1672883)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/15 - 29\/165. Let j be (8\/12)\/(-1*4). What is the closest to 1 in j, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -686, -652, -576, -440, -226?\n\"Answer: 3*w**3 + 3*w**2 + 4*w - 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27557764.71 rounded to the nearest 10000?\nAnswer: 27560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-8)*(0 - 0). Suppose 41*s - 33*s - 1512 = v. Calculate the highest common factor of s and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 452 and 35143?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 749018215, 749018214, 749018213, 749018212?\nAnswer: 749018211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 164957?\nAnswer: 164957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 + d**3 - 2*d**3)*(5*d**2 + 2*d**2 - 6*d**2 - 9*d).\nAnswer: -d**5 + 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63568*v**2 + 5770*v + 5764*v - 11534*v.\nAnswer: 63568*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = 5*s - 274. Suppose 4*m = -0*m + s. Solve -x - 6 = -3*j + m, 3*j - 4*x = 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 5*w - 3, -5*b - 3*w + 3 = -8. Suppose -5*i = -9*x + 7*x + 628, 0 = 3*x + b*i - 896. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/4, -0.105, 0.054?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 2*s + 77. Determine m(0).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(3*(sqrt(2) - sqrt(8))) + (sqrt(110)\/(sqrt(10)*2 + sqrt(10)) - sqrt(88)\/(sqrt(8) + sqrt(128))))**2.\nAnswer: 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 minutes before 11:39 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -336*81\/(-378)*3*(-28)\/63.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, t: 2}. Give prob of picking 2 o.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 252 - 148. Calculate the greatest common divisor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 9 (c) -0.2 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s**3 + 2*s + 2. Let n(d) = -35*d**3 + 3*d**2 - 13*d - 12. Give n(f) + 6*q(f).\nAnswer: 13*f**3 + 3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*m + 417, -m - 2*f - 24 + 130 = 0. Let o = m + -95. Let g(y) = 2*y**2 - 10*y + 16. What are the prime factors of g(o)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111*k**2 + 66*k**2 + 0 + 224*k**3 + 0 - 106*k**2 wrt k.\nAnswer: 1344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-3 - (-2 - (-5 - -3))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r + 71. Let x(h) = -2*h + 71. Let t(u) = 3*a(u) - 2*x(u). Is 13 a factor of t(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 1149*v + 194. Let o(w) = w. Calculate y(o(k)).\nAnswer: 1149*k + 194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**3 - 4*b**2 - 4*b - 7. Let h(n) = n**3 + n**2 + n. Determine d(x) + 4*h(x).\nAnswer: -x**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2825060127.\nAnswer: 3, 83, 181, 62683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (346 - 176 + 4*h - 283 - 233)*(-1 - 1 + 0).\nAnswer: -8*h + 692","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -44. Calculate the least common multiple of o and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7783 - -7779. Sort -5, t, -3, 2\/3, -0.4 in descending order.\nAnswer: 2\/3, -0.4, -3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*t + 3*g - 324, -30 + 1 = 3*t - 5*g + 69 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -32075837, -32075839, -32075841, -32075843, -32075845?\n\"Answer: -2*p - 32075835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2459835559 to the nearest integer?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f - 4. Let k be v(-8). Is k\/8 - (-3)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-136 - -70 - -49) + 1 + 68\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10903? (a) 5 (b) -0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 0.5, 21, 5, -5\/6, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 6. Suppose r*c + 16 = x, 5*x - 17 = -0*c + 4*c. Suppose -x = -5*j + 4. What is the greatest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114848 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**3 + 41*p**2 - 359*p + 319 = 0.\nAnswer: 1, 11, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.172 * 7124.\nAnswer: -1225.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1102 - -4?\nAnswer: -1076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*(-36)\/24?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-142872)\/(-65483)*(-110)\/4.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 5*j - 40, -j + 79 = r + 73 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 35 + 10*t)*(-2 + 2 - t + (4*t - 3*t + 2*t)*(-3 + 4 + 1)).\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/980 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*v - 5*v**2 - 2*v**2 - 2*v**2 + 0*v**2.\nAnswer: -9*v**2 - 59*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213.78 rounded to the nearest ten?\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + 435 - (-9)\/(-9) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 36*a**2 + 764*a - 610. Let f(j) = -5*j**2 - 109*j + 88. Let q(t) = -15*f(t) - 2*u(t). What is the first derivative of q(s) wrt s?\nAnswer: 6*s + 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4442 is divided by 529?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = r - 1, 0 = 3*r + 2*r + g - 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 73 - -14) + 51?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**2 + z - z)*(3*z + 4*z - 6*z) + 8 - 8 - z**3 + (0*z - 4*z + 3*z)*(3*z**2 + z**2 - 2*z**2) in the form a + k*z**3 + t*z**2 + o*z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 232210203?\nAnswer: -232210132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2 + 75014*a + 600307. What is p(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*sqrt(320) + sqrt(5))**2*-6 + sqrt(180)*5 + sqrt(60)\/sqrt(3).\nAnswer: -50454 + 1016*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -765.5 * 0.8.\nAnswer: -612.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, l: 2, z: 3, a: 4, x: 2, b: 1}. Give prob of picking 2 x, 1 b, and 1 z.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-609)\/(-406)*(-3)\/((-27)\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000893 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 201.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 15 = -p. Let w = p + 5. Suppose w*n = n. Put 4, n, 1\/4 in increasing order.\nAnswer: n, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14270 - 14273 = v - k, 19 = 3*v + 11*k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (738\/(-12))\/(6*1)*4. Let n = 36 + l. Sort n, -1, 6.\nAnswer: n, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 - (-8)\/36. Suppose z = 2*g - 5*g + 129. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7444*y - 19. Let o(r) = 2*r**2 - 8. Let s be o(0). Let t be q(s). Suppose -88467 - t = 4*m. What is m rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6980)\/5235)\/((-3)\/(-10))\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*75\/(-15) + 80 + 4?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45339 + 4339375626.\nAnswer: 4339420965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 93248886 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a**2 - 16*a. Let l(s) = s**2 + s. Let m(f) = 2*l(f) + n(f). Find the second derivative of m(z) wrt z.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26722 or -26697?\nAnswer: -26722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -244*u + 37. Is y(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-10) + (-4)\/(-10). Let k(r) = -8*r - 2. Let h be k(-3). Suppose -5*a = -w - h, -b*a - 5*w + 10 = 2*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 1314*r - 37643. Calculate w(-28).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgs when three letters picked without replacement from xxussusxxrgxusxxx?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 4:41 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 1988.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 36454 divided by -1\nAnswer: -36454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -5*o**8\/28 - 26*o**7\/105 + 11*o**6\/10 - o**5\/5 - o**4\/3 + 153*o**2. Determine t, given that u(t) = 0.\nAnswer: -2, -1\/5, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3149 or -3148?\nAnswer: -3149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4427 and 5359?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 542261227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 41 - 29 - (16 + -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(-27)*(z**6*z*z*z)\/(z*z*z**(-8)\/z*z))\/(z**(2\/11)\/(z**(1\/5)*z))**(33\/7) assuming z is positive.\nAnswer: z**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.10296719 + 0.10293819. Let m = 56 + -80. Let b = m - y. Round b to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w - 3*w**2 + 3305*w**3 + w**2 - 3822*w**3 as g*w + d + t*w**2 + v*w**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-33)\/(-54))\/11*-58 and -54\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*o - 16, 5*o = -3*f + 20. Let a = f - 7. Suppose a*u - 3 = -x - 0*x, 5*x = -15. Let w(v) = 2*v - 2. What is w(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 111694 = -0*q + 5*b, -5*q + 5*b = -279095. What is the ten thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + 13*(-378)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484437245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030\/(-112)*2*36\/45?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.944112 + 43.82?\nAnswer: 167.764112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, -20.2123, -50.\nAnswer: -50, -20.2123, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130*f**4 - 790*f**3 + 790*f**3)*(-4 + 1 + 4).\nAnswer: 130*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 * -531.\nAnswer: -13806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8994287 and 39857.\nAnswer: 9034144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*m - 91*m = -32540. What are the prime factors of m?\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 3*t**2 - 7. Determine n(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 5) + (0 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 16704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 13) to base 7.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + n + 16. Let b be (6 + -12)*2\/3 + 0. Let i be x(b). Put -6, -2, i, 8 in ascending order.\nAnswer: -6, i, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 168*t**5 - t**4 - 3*t**2 - t - 212 wrt t?\nAnswer: 10080*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 10 = -35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -403510 divided by 225?\nAnswer: -80702\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 421.2 or -0.6163?\nAnswer: 421.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*z - 53*z + 19*z)*(-6*z**3 - 3*z**4 + 6*z**3).\nAnswer: 177*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65408 * -1.8.\nAnswer: 117734.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 2 + sqrt(432) + -2)**2 + 6*sqrt(3)*-2*6.\nAnswer: -72*sqrt(3) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000804932 rounded to seven dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*q**2 - 279*q**3 + 207*q**2 - 884 - q + 884.\nAnswer: -279*q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 22*w**2 + 151*w + 149. Determine t(-6).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u - 2 = -41 - 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 1162111950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**3*r**3*t - 2*a**3*r + 7*a**3*t + 2*a**2*r**3*t + 8*a**2 + 2*r*t + 2 wrt a?\nAnswer: -30*r**3*t - 12*r + 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 16*n**3 - 20*n**2 - 11. Let a(l) = -3*l**3 - 2*l**2 + 0*l**3 + 6*l**2 + 2. Let j(u) = -240*u + 3349. Let z be j(14). Calculate z*a(q) - 2*c(q).\nAnswer: q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -3122200320?\nAnswer: 3122200312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 4*j + 1. Let n be t(3). Differentiate 3*v**4 - 6*v**n + 1 - v**4 - 2*v**4 with respect to v.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19557811*n**2 - 27723568 with respect to n.\nAnswer: 39115622*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 191837556 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**2 + 6362 - 19094 - 6*r**2 + 6368 + 6364.\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000046403713 rounded to 7 decimal places?\nAnswer: -0.0000464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (951*u**2 - 13115*u + 13115*u)*(-2*u**2 - 5 + 5)*(-3*u - 2*u + 3*u).\nAnswer: 3804*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 35 = -t. Let g(f) = -f**2 - 5*f - 1. Give g(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t**2 + 149*t + 22. Let n be f(25). Sort 3, 2, 0, n in increasing order.\nAnswer: n, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(11 - (26 + -16)). Let x = 4 - 3. Let i be (x - (-1 - -2))\/(-2). Solve -4*f - y*v - 8 = i, 9*v = 4*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 14*i - 6. Give y(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15933 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1121935 or -1?\nAnswer: 2\/1121935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 82*d - 89*d = 43, -2*d - 18 = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m - 3. Sort 0, 2, m in increasing order.\nAnswer: 0, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*k - 10*k + 3*l + 9, -4*l - 17 = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 388424.9cm to meters.\nAnswer: 3884.249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = y - 78. Let r = 1730.04 + -1730. What is the second smallest value in y, -3\/7, 2\/3, r?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -12. Let t(h) = -h**3 - 12*h**2 - 10*h + 13. Let v be t(r). Factor c**4 - c**2 + v*c**2 - 4*c**4 + 2*c**4.\nAnswer: -c**2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 1 = 0, 19 = -11*s - t - 2*t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*y**2 - 5*y**3 + 4*y + 0*y**2 - 3*y to the form z*y**3 + h + g*y + p*y**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**7\/210 + v**5\/10 - v**4\/3 + v**3\/6 - 10*v**2. Let h(x) be the first derivative of u(x). Factor h(a).\nAnswer: -4*(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194 - -198. Suppose -h*q - 6*x + 4*x = -8, -3*x = 2*q - 4. Solve 5*d + 4 = -q*r - 12, 16 = -4*d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/552 and -83\/552.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 15, 0, 3\/4, -2\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(-2*q + 4*q - 3*q) + (-4*q - 2*q + q)*(0 + 2 + 0).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 0 + 3 + -3. Let k = -0.524 + -0.476. Which is the second biggest value? (a) k (b) -6 (c) u (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6*9\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 122 - 110. Suppose 3*p - 2*d = -m, 4*d = 3*d + 5. Let w = -10 - p. Solve 5*x + 1 - w = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**2\/3 - 4688*k\/3 - 4690\/3 = 0.\nAnswer: -1, 2345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9512525.\nAnswer: 5, 11, 34591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/89034 and 13\/218538.\nAnswer: 2403918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1812, 1808, 1802, 1794, 1784, 1772?\n\"Answer: -q**2 - q + 1814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1800 = 5*x + t - 1164, 0 = -x + 5*t + 572. What is the highest common divisor of x and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**4 + 5*x**3 + 18*x**2 + 9*x + 4. Let t(z) = 2*z**4 + 6*z**3 + 18*z**2 + 10*z + 4. Let b(w) = -4*s(w) + 5*t(w). Solve b(i) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126453 - -32245247\/255. Let f = -14\/15 - l. Put -7, -0.1, 0, f in ascending order.\nAnswer: -7, -0.1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24055 is divided by 1775?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -482469*q + 3377251. Calculate w(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 4*f - 6, 3*t - f + 30 = -5*f for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 40702 + 6962. Let f = h + 22444. Round f to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*q - 3*q**2 - 16*q)*(192*q**3 + 2*q**3 + 71*q**3 + 16*q + 9*q - 24*q).\nAnswer: -795*q**5 - 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/30 and -89\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 16, -852, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/64*-4*(-1732)\/18. Let c = f - -149\/3. Are -1 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6 = 5*l + 21, -4*l - 4 = 0. Suppose y = -t*y. Factor 0 + 3\/4*k**4 + y*k**3 - k**2 + 1\/4*k**5 + 0*k.\nAnswer: k**2*(k - 1)*(k + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**5\/7 + 8*p**4 + 96*p**3\/7 - 8*p**2\/7 - 100*p\/7 - 48\/7 = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 899065847?\nAnswer: 899065847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26367 + -79109\/3. What is the second biggest value in -22\/9, 1\/5, s, 1\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 1\/2, -0.3, -0.85, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107972022?\nAnswer: 2, 3, 19, 677, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 2:03 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6062*b + 27906. Calculate u(-5).\nAnswer: -2404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/16 + 38\/4. Let w = 12 - l. Let h(m) = -18*m + 93. Let v be h(5). Solve w = -p, 0 = v*g - 4*p - 5 + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 0) + (1 - -3) - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -k + q + 1, 5*q - 19 = 2*k. Let l = 1 + k. Put l, 0, 1 in ascending order.\nAnswer: l, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 296*b + 292.\nAnswer: 4*(b - 73)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + (10 + 55)*41 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*a - 27, -3*l + 5*l + 6 = 0. Let s(z) = 2*z - z**3 - 1 - z**2 - 4*z**3 - 3*z. Let i be s(-1). Solve -i*h = f - a*f - 6, 0 = 4*f - 4*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*((-34208)\/400)\/((-8)\/10). Let v = l + 754. Find the common denominator of v and 1\/29.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2bb96a0 + 4?\nAnswer: -2bb9699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -565 by 565.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228*(-46)\/1104*2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put together -4091666955 and 5488.\nAnswer: -4091661467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1377, 1376, 1375, 1374?\n\"Answer: -w + 1378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -1973?\nAnswer: 1974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 17 + 1. Let n be 8\/(-6)*3\/(-12). Suppose d = -4*d - 10. What is the second smallest value in l, n, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 1. Let t = -12131 - -12149. Which is bigger: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -798*b*d**2 - 11899*b - 25080*d**2 - 205*d wrt b.\nAnswer: -798*d**2 - 11899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5141*k - 7 + 5135*k + 7.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 3\/2*p**2 + 3\/2*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 190*g + 125*g + 22365 for g.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -4 - 6) + (-1 - -1). Let o = -890 + 1526. Let b be 4\/18 + o\/54. Solve 3*n + n + b = r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1135986 is divided by 518.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**3 + 3*t**2 - t + 2. Let m be d(2). Let s = 19 + m. Which is smaller: -10 or s?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -303, -249, -109, 159, 597, 1247?\n\"Answer: 7*u**3 + u**2 + 2*u - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104.9*1.71.\nAnswer: -179.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 0*x - 7*x + 6*x - 7*x. Let k(l) = 4*l. Calculate k(o(z)).\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/236 + -691\/4012. Which is the second smallest value? (a) -3 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 8:44 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -y + 83, -3*y - 3*f + 9 = -48 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z**2 - 3*z + 3. Let n be g(-3). Let i = n - 528\/7. Is i smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4\/5 + 4938*b**3\/5 + 195948*b**2\/5 + 2015862*b\/5 + 364971 = 0. What is b?\nAnswer: -19, -1, 1685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1893772, 7575082, 17043926, 30300304, 47344216?\n\"Answer: 1893767*u**2 + 9*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from {v: 9, m: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129528332.\nAnswer: 2, 32382083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1441 - 1441 + 964*c**3 - 463*c**3 - 488*c**3.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*d + 14, 0 = -3*a - 0*d + 3*d - 27. List the prime factors of a\/2 + 3 + 5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {r: 1, k: 1, i: 1, t: 1, d: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.125493971 times -0.2?\nAnswer: -0.0250987942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3467 or 2944?\nAnswer: 3467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 380*n = 383*n - 57, 3*n + 103 = -7*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 15, -5, 2 in decreasing order.\nAnswer: 15, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -189178*l**4 + l**3 - 69*l**2 - 2015 wrt l.\nAnswer: -4540272*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23209, -23193, -23153, -23077, -22953?\nAnswer: -22769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5614639330.\nAnswer: 2, 5, 991, 566563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + j - 22. Let m be f(0). Let s = m - -25. Solve -2*o + 6 = 2*b, -5*o + s*o - b + 2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*r - 16. Suppose 0 = -2*a + 6, -4*a = -3*m + m - r. Solve 0 = -5*j - 5*n + 2*n - 32, m*n + 4 = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 2, m: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 g, and 1 i when three letters picked without replacement from hbhbgggbia?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(10)*1) + sqrt(10) + (sqrt(90) + sqrt(10) - sqrt(10))*3)\/(((sqrt(10) + sqrt(10)*3)*-5)\/sqrt(5)).\nAnswer: -11*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**6\/60 - z**3\/2 + z**2\/2 + 3. Let b(g) be the second derivative of w(g). Differentiate b(a) with respect to a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6529 + -1839. What are the prime factors of t?\nAnswer: 2, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5469?\nAnswer: 3, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.059? (a) -2\/11 (b) 2 (c) -1\/2 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 63. Let s(n) = -2*n - 189. Let c(r) = 4*s(r) + 12*z(r). Let o(d) = -9*d + 2. Let g(y) = -17*y + 5. Let h(w) = -2*g(w) + 5*o(w). What is c(h(q))?\nAnswer: 88*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 91071332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24064 - -24069. What is the fifth smallest value in -2\/3, b, 2\/15, -1, -21\/8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -17 (b) -3 (c) -0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 28 = -5*r. What is the third smallest value in 5, r, -2\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*v + 3*v**2 + v**2 + 0*v**2 - v**2 + 27.\nAnswer: 3*v**2 + 81*v + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**4\/8 + 17*n**3\/6 + 4*n**2. Let p(h) = -2*h - 9. Let c(k) = 5*p(k) + 3*u(k). Find the first derivative of c(r) wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + a4a64791?\nAnswer: a4a6478a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/18924357 and 95\/15342.\nAnswer: 37848714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 11*q**2 - 5*q - 1. Is h(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**2\/11 - 3438*m - 32504571 = 0.\nAnswer: -18909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 4. Suppose 49*i - 56*i - 14 = 0. Let p be j(i). Solve 4*u = 5*t - 18, 0*t = -t + p*u + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200211022 (base 3) to base 15.\nAnswer: -40ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5\/15 + 4*x**4\/15 + 4*x**3\/15 - 16*x**2\/15 + 14*x\/15 - 4\/15 = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*k - 34 = -2*x, 67 = -5*k - x. What is the units digit of 12\/14*k\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 647, 1373, 2103, 2837?\nAnswer: 3575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yybqyqqymyyy. Give prob of picking 1 y and 2 q.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 2*z - 3. Let x(m) = -4*m**2 + 8*m - 23. Let u(f) = -5*o(f) - x(f). Give u(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(156))\/sqrt(12))**2 - (-2 + 1 + sqrt(13)).\nAnswer: -sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, 1\/3, -2\/13 in descending order.\nAnswer: 1\/3, -2\/13, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*p**2*t + d**2*p - 2625*d*p*t - 2*d*t + 253*p**2*t wrt p?\nAnswer: -2*d**2*t + 506*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.5355582 days?\nAnswer: 771.203808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 5. Let u(w) = -8*w**2 + 51*w + 1. Let f(x) = -x**2 + 6*x. Let g(m) = -51*f(m) + 6*u(m). Suppose j - 6*j + 15 = 0. What is j*g(n) + 4*c(n)?\nAnswer: n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*m**5\/7 - 88940*m**4\/7 - 17832*m**3\/7 + 74700*m**2\/7 + 32022*m\/7 = 0. What is m?\nAnswer: -3\/5, 0, 1, 1779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/106445 > -4.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6796597187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6725181 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/8 and (1032\/12)\/(0 - -28)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316307.7 litres to millilitres.\nAnswer: 316307700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 2*m = -17, -98 = -5*s + 3*m - 61 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 419*t - 40651. Determine d(97).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/4 (b) -509687 (c) -2 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 29, 0.1, -16, -1, -1.4, 0.073?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 5 (c) 0.309644\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + 0 - 1)\/1. Does 17 divide 51\/4*8\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 5. Let w be m(-8). Let k(u) = w*u - 8*u + u. Let q(v) = -3*v - 2*v + 4*v. Give q(k(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -24. Is (-9 + g)*-71 + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 726?\nAnswer: 6534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*q**3 + 91*q**2 + 68712*q wrt q.\nAnswer: -84*q + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*z + 16, -5*q + 4 = -4*q. Let d(t) = -7*t**2 + t + 2. Let n(y) = y**2 - 1. Let j(u) = -d(u) - 6*n(u). Does 7 divide j(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 8:15 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155796*r**2 + 3*r - 29792 wrt r.\nAnswer: 311592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*p + 389*p - 1749 = 0 for p.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2299) + 4)**2.\nAnswer: -264*sqrt(19) + 20707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -11*y**2 - 19*y. Let h(m) = -m**2. Give i(h(x)).\nAnswer: -11*x**4 + 19*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/((-2)\/(-28)))\/2. Let d = 9 - b. Solve z = -i + 1, 4*i + 5*z - 8 = d*z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - ((1*sqrt(152))\/sqrt(8))**2 - (3 + 2*sqrt(19))) + -5)*-3.\nAnswer: 3*sqrt(19) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-250)\/(-75)))\/(4\/8*1\/14).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 3328 = -24*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - 258\/66 - (-2)\/(-1). Suppose -9 = -4*u - 5*y, -2 = -3*y + 1. Is z smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-63)\/112)\/((-6)\/8))\/(45\/8)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - w = -2 + 21, 0 = -5*c + 2*w + 26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -23.4 (b) -1 (c) -2 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten sevenths of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (5 - 4 - 6 - 1 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3*6\/2. Suppose o = -4*x + 19, 4 = -2*o + x - 3. Sort 4, n, o.\nAnswer: o, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1953 and 306?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147*k - 4 + 3 - 477*k - 323*k to x*k + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**5\/60 - d**4\/12 + 2*d**3\/9 - 171*d + 159. Let k(i) be the first derivative of b(i). Find g, given that k(g) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {k: 2, m: 5, y: 3, r: 2, w: 6}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = a - 12. Let t(i) = 674*i + 0 - 675*i + 5 + a*i**3. What is the remainder when 54 is divided by t(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 793968903 to the power of 1\/4, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 4. Put s, 1\/5, -5 in decreasing order.\nAnswer: 1\/5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2*1)\/(2\/(-19)) is divided by (-10)\/165*-3 - (-75)\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165962.061 + -166114. Let m = -152 - d. Which is greater: -0.2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9164013 years to millennia.\nAnswer: 0.0009164013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjd when three letters picked without replacement from {d: 7, j: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109243810*w**3 + 35786202*w**2 wrt w.\nAnswer: 655462860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2396*r**2. Let b(m) be the first derivative of 7*m**2\/2 + 12099. Calculate b(x(f)).\nAnswer: 16772*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21165340 is divided by 96206?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 - 105384*w**3 + 589185396*w**2 + 1382194413360*w + 688095789296400.\nAnswer: 4*(w - 14103)**2*(w + 930)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v = 3. Let y(d) = -2*d + 5*d - 4*d - v. Let o = 871 - 866. What is y(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8*v + 0 + 3 + 1 - 3. Let n be z(-5). Let o = n + 41. What is the highest common factor of o and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - (4 + 2)\/(-3). Let w be 4\/63 + (-4)\/(-18). Suppose -143*j = -141*j + 10. What is the nearest to w in 0.4, i, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 213, 636, 1271, 2118, 3177?\nAnswer: 4448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**4\/24 - 5*c**3\/6 + 118*c**2. Calculate r(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 15)*(k**3 - 3*k + 3*k + (-k**2 - 2*k**2 + 4*k**2)*(-3 - 2*k + 3) - 12*k - 4*k**3 + 12*k).\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 228314 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:51 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of -8 + 285375\/15 - 1*4\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 234, 353, 472, 591?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(2\/5)*x)*x)\/x*x*x**(-8)\/x*x)**(3\/7) assuming x is positive.\nAnswer: x**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8*g + 4*g = 35, 3*g = v. Let b be (-2 - v\/13) + 1. What is the second smallest value in b, 0.2, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -506.5 and -4?\nAnswer: 2026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b + 2. Let g be (-3)\/(-1 - -4) - -1. Suppose -4*u + 3*o = -o + 8, g = -3*o. Give z(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253660?\nAnswer: 2, 5, 11, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*g + 10, -2*g = 4*d - 4*g - 40. Let l = -7 + d. What is the smallest common multiple of 14 and l\/6*38 - 1?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 2792*f.\nAnswer: 4*f*(f + 698)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.4 and 325778.7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 times -2?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 8*j + 34. Determine t(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3597 + 15.4403. What is the nearest to -0.1 in m, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110874 is divided by 17411?\nAnswer: 13981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -17673 (base 10) to base 6\nAnswer: -213453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + 17. Let n = 38 + -33. Solve -10 + b = n*i, 2*m + 9 = i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -45\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v - 448 = 32*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 5. Suppose -4*s - p = -9. Suppose s*u - 4*w + 18 = 3*u, -2*w = -5*u + 156. What is the highest common factor of u and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12468 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/5*38\/(-4)*-15?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.1545 times 4\nAnswer: -16.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*d + 12*d - 4*d)*(-59 + 59 + 6*d) - 4 + 4 - d**2.\nAnswer: 173*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 45.1, 0.4, -682 in descending order.\nAnswer: 45.1, 0.4, -682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 424*l + 423.\nAnswer: (l - 423)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (38 - 12 - 30)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2 + 2)*(5 + 6*o - 5 + (-1 - 6 - 9)*(-1 + 1 + o + (-2 - 1 + 5)*(o + o - 3*o) - 4*o + 0*o + 6*o)*(-6 + 5 + 4)).\nAnswer: -126*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 861 + 293 = -3*s, 5*s - h = 962. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 172 - 168. Let c(g) = g**2 - 2*g - 4. Let w be c(4). Suppose -w*a = -l*v + 112, a - 44 = -v - 2*a. Solve 0 = -5*t - 12 + v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*m - 8*m + 105 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/23061 and 53\/1671.\nAnswer: 12844977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47*c**2 - 28621*c - 17395145 wrt c?\nAnswer: -94*c - 28621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21467 is divided by 1651.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + (sqrt(36)\/sqrt(75) - sqrt(12))**2 + (-5*(sqrt(3) + -3))**2 + sqrt(30)\/(sqrt(70)\/sqrt(7)).\nAnswer: -149*sqrt(3) + 7667\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 2760 - r + 4*r - 5*r.\nAnswer: 4*r + 2760","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12439, 12438, 12403, 12328, 12207, 12034?\n\"Answer: -l**3 - 11*l**2 + 39*l + 12412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by (7\/((-21)\/102))\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 3*x**2 + 3*x**2)*(-8 + 12*x**2 - 12*x**2 - 2*x**3).\nAnswer: -4*x**5 - 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*w + 1, -12*h = -8*h + 5*w - 41. Suppose h*n - 5*n + 2*k - 10 = 0, 3*n = 3*k - 39. What is the units digit of n\/(3 + (-28)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -0.5, -95?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30 + 1)*80\/(-1160). What is j in 2\/19*j**d + 32\/19 + 16\/19*j = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 8:42 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 16 + 11 + (-3 + 5 - 4)*(3 - 7 + 3) - 3 + 4 + 1 + 1 - 1 - 1)*(-7*i - 2*i**2 + 7*i).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 43, 8, 34.\nAnswer: 8, 34, 43, 66","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.9 + -6. Let w = -0.1 - -0.3. Let d = w + -0.2. What is the nearest to k in d, -2\/3, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 296 and 63558552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.16 > 183751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2. Let x(w) = -2*w + 1. Let z be x(k). Find the first derivative of -2 + 3 + 4*t**z - 6*t**3 wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x - 880 = -656 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*t + g - 507, -2*g + 6 = 0. Suppose 3*i + 3*b - t = 0, -3*i - 2*i + b + 175 = 0. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-14)\/15*5. Is (-296)\/(-6)*(-21)\/a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4202\/(-286) + 14)*26\/(-4)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 213.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2 = 2*c - 10, -2*l = -4*c - 6. Is 14 a factor of (-232)\/c + (-8)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17\/5 + 4\/(-10). Suppose d + 2 = 2*d + h, 0 = -n*d - 2*h + 2. Is 87\/d*28\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*b - 83*b + 48*b - 142*b**2.\nAnswer: -142*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1442987*c**2 - 6594*c - 26376. Let j(v) = -1094*v**2 - 5*v - 20. Determine -5*i(o) + 6594*j(o).\nAnswer: 1099*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -94 - -92 - (-1 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 4*o - 22*o - 1.\nAnswer: -23*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**3 + 32. Let d(a) = 6*a**2 - 3*a**2 - 4*a**2. Determine o(d(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 1995?\nAnswer: 9975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 4*m**2 - 7*m + 11. Calculate t(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 5*c - 82 + 82.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321 (base 6) to base 12.\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 53912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2. Let d(z) be the first derivative of -2*z**3\/3 + 9*z**2 - 1545. What is t(d(x))?\nAnswer: 16*x**4 - 288*x**3 + 1296*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m - 2*m)*(-2 + 0 + 3)*(1 + 1 - 5)*(6 - 6 + 7).\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 801.76773?\nAnswer: 801.76773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvd when three letters picked without replacement from vvmvmmdv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -4.4. Let u = -0.4 + j. Let m = -3.5 + -0.5. Sort 0.3, m, u.\nAnswer: m, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 - 3721 - 351 = -172*o for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 61*f - 2. Let x(i) = 2*i - 15. Let k be x(7). Let b be w(k). Let d be 2\/3 - (-84)\/b. What is the smallest value in 12, -5\/4, d?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002955 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 + 81 = 4*u + 5*j, -2*u + 113 = -5*j. What is the remainder when 190 is divided by u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (1 - (-5 - 10))*(-1 + 15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62786 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130514 a multiple of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(135)*-3)\/sqrt(5) + (-3 + sqrt(75) - (sqrt(30) - (sqrt(120)\/sqrt(4) + sqrt(30)))\/sqrt(10))).\nAnswer: -12*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/125 - -5379\/250. Find the common denominator of b and -52\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0.3. Let k(y) = -y**3 + 10*y**2 - 11*y + 21. Let z be k(9). Let i be (29\/(-58))\/(z*(-6)\/27). What is the nearest to -1 in -2\/3, u, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 95\/(-6) - 0 - 21\/126. Let q be (-4)\/d + 7974\/8. Let y = q + -530. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 798981*t + 2638330*t + 31876*t.\nAnswer: 3469187*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3854762?\nAnswer: 2, 191, 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-141*b + 148*b - 1 - 13).\nAnswer: -14*b + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 7*g - 2*g + 10151, 3*j - 7620 = -3*g. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -460 and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 939007494 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 52 = 3*x, -9*g + 5*x + 100 = -12*g. Is 8 a factor of (g\/(-120))\/(2\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11100021202212 + 11?\nAnswer: 11100021210000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 - 2106527*r + 4437456001729\/2.\nAnswer: (r - 2106527)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -542, -1200, -1992, -2984, -4242, -5832, -7820?\n\"Answer: -11*f**3 - f**2 - 578*f + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2611, -5225, -7815, -10369, -12875?\nAnswer: -15321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 2. Let u(n) = 780*n + 821. Let y(w) = -2*s(w) + u(w). What is the derivative of y(a) wrt a?\nAnswer: 782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 145\/(-21) + 18\/(-189). Sort 4, -9, 0, i in descending order.\nAnswer: 4, 0, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100010101110111 + 1?\nAnswer: 10100010101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44022 = 14*n - 43*n. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 84, -4, -2\/13, 334?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 7 = 2*t - 6*l, -4*t + 3*l = 7. Let s be (-18*t\/(-1))\/(-5)*5. What is the highest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6097 - -11872. List the prime factors of n.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -92, -97, -48, 73, 284, 603?\nAnswer: 1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-19)\/(-5))\/(-19))\/((52\/(-65))\/(-2))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63149*n - 63147*n + 6*l + 14, -3*n + 11 = l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 770 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 2 + 4. Let k(r) = -r**3 - r**2. Let v(d) = -5*d**3 - 11*d**2 - 6*d + 6. Let y(i) = f*v(i) + 6*k(i). Suppose 5 = u - 1. Calculate y(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*2\/4 + 126\/63. Solve -3*n = -w*n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007092 rounded to 5 decimal places?\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 48*y + 1252 = 44*y, 0 = 3*g - y - 1853. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (0 - 0)) + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1887 and 84619.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 2*q + 4. Let d be x(-5). Suppose d = 5*k - 26. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106\/19 + 1593\/38. Calculate the common denominator of l and -25\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 237893\/210 + -5644\/5. What is the common denominator of (-3)\/((-54)\/(-249)) - (7 - 13) and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 1, y: 1, f: 2, v: 10}. Give prob of picking 1 y and 1 f.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.575909 millilitres to litres.\nAnswer: 0.000575909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1888494986341.22999983 + 1888493901299.3. Let o = 1085042 + a. Let r = -0.07 + o. Round r to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*j + 714 + 66 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 11:07 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5211)\/84 - ((-345)\/105 + 3)) + (-224)\/896?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 207?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26348 is divided by 8759?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t + 9 = 30 + 27 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 8715 + 8760. What is the closest to 40 in h, -2, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-2 + 0 + 3)*(v - 4*v + 4*v)*(-2*v**2 + 3*v**2 - 3*v**2).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/36*7038\/(-136)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g*g**(-14)*g*g))*g**21*(((g\/(g*g**1*g))\/g)\/g)**(23\/4) assuming g is positive.\nAnswer: g**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8396, -0.01, -0.5 in decreasing order.\nAnswer: -0.01, -0.5, -0.8396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -15*k**3 - 2. Let o(g) = 45*g**3 + 7. Determine -21*j(l) - 6*o(l).\nAnswer: 45*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -212615 (base 7) in base 13?\nAnswer: -13ac9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -713, -1165, -1923, -2987, -4357, -6033?\n\"Answer: -153*u**2 + 7*u - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11724 and 14.\nAnswer: 82068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11082645 and -39.\nAnswer: -11082684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10\/3, -8, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 28\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 3 + (6 - 41 - 8)*(-3 + 5 - 1))*(-4 - o + 4) to i*o + x and give i.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 6:46 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33121312 (base 4) in base 5?\nAnswer: 4004334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 14882*h - 14896*h - 2 + 3. Let i(j) = -27*j + 1. Give 3*i(q) - 5*v(q).\nAnswer: -11*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -137, -320, -503?\n\"Answer: -183*l + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 59*b**2 - 6478*b - 1513. Calculate u(110).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6357774815?\nAnswer: 5, 7, 4861, 37369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-23 - 1) + -6 + 11 + 3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**4 + 2*y**3 + 7*y + y**4 - 4 + 3 - 3*y**3 to the form p*y**3 + w*y**4 + s + q*y + t*y**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1431 by -159.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -41*v + 1673. Let q(f) = 19*f - 3. Give -k(g) - 2*q(g).\nAnswer: 3*g - 1667","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -10. Suppose -n*v = -2*v + 94. Round v to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1750*g**2 + 21000*g + 12. Calculate y(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2592)*1 + (-6*sqrt(18) - sqrt(2))**2 + -5*(sqrt(16)\/sqrt(8))**2.\nAnswer: -36*sqrt(2) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 192563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 10*i + 71. Calculate the remainder when j(-7) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24738 rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170631168, -170631160, -170631140, -170631102, -170631040?\nAnswer: -170630948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -40. Let h(u) = -24*u + 10. What are the prime factors of h(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*t + 37, 4*t = c - 4 + 33. Calculate the remainder when 26 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 3, -4, -2, 7\/10?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.4 + 0.4. Let r = f + 18. Which is the nearest to 3? (a) 0.4 (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 76 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.88 - 0.12. Let j = g + 19. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7325 + 14647\/2. What is the second smallest value in -22, o, 5, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 517, 1034, 1557, 2092, 2645, 3222, 3829, 4472?\nAnswer: 5157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*k + 6713 = -90*k + 6326 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**3 - 14*v**2 - 88*v - 157. What are the prime factors of o(-18)?\nAnswer: 20219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 2)*(-2 - 3 + 6) - 5 - 3 + 4)*(562*m - 49*m - 51*m).\nAnswer: -2310*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, -30, -39, -42, -39, -30, -15?\n\"Answer: 3*b**2 - 24*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 - -129. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c + 44. Let p be o(-5). Suppose 4*r - p*l - 384 = 0, -3*r = -4*l - 267 - 21. Calculate the greatest common divisor of r and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 3*r - 10. Suppose 0*y - 3*y - 43 = -5*b, b - 2*y = 10. Is t(b) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -1)\/(1\/(-3)). Let r(d) be the second derivative of -d**4\/12 - d**3\/3 + 2*d**2 - 5*d. Let o be r(w). Solve 0 = 3*b - o - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.26 - -1.4. Let s = -74.1 - -74.2407. Let a = i - s. What is a rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((-540)\/(-144))\/((-9)\/(-24)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92487 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 13*g + 70. Determine j(-14).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 3*c**2 - 4*c + 2. Let n be m(2). Let i be -140 + 151 + 1*-13. What is the tens digit of (i + n - -63) + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10270 is divided by 1252?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y + 6. Let j(d) = -10*d + 19. Suppose -2*s - s + 2*o = -25, -3 = -s - 2*o. Give s*v(r) - 2*j(r).\nAnswer: -r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -414, -1297, -3000, -5793, -9946, -15729, -23412?\nAnswer: -33265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 3:17 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.73 and 1.\nAnswer: 3.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821*u + 277*u + 273*u - 97 + 273*u + 59 - 309.\nAnswer: 2*u - 347","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1504\/(-9024)*18\/(-12)*3.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 32. Let w(u) = u + 5. Let z be w(-7). Calculate the smallest common multiple of a(11) and -1 - 0 - (z + -8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -696, -767, -874, -1011, -1172, -1351, -1542, -1739?\nAnswer: -1936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.02152t to grams.\nAnswer: 37021520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (675\/(-1200))\/(6\/8). Let n = 0 + 0.1. Which is the closest to -1\/3? (a) p (b) n (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r = 2*b - 2, -r + b = -6. Let h(j) = 4 + 1 - 4 + r*j**2 + 24*j**3 - 2*j. Calculate the remainder when h(1) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15286826 is divided by 7428.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.08 - 3.08. Let v = 56.45 + -56. Let o = 0.25 - v. Which is the nearest to 0? (a) o (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26606076 divided by 5606?\nAnswer: 4746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -22*v. What is the remainder when 87 is divided by l(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(2\/((-9)\/(9\/8))). Let w(y) be the third derivative of 4\/3*y**3 + t*y**2 + 1\/30*y**5 + 0*y + 0 - 1\/3*y**4. Let w(o) = 0. Calculate o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79264\/5 - -16301. Let w = -446 + o. Find the common denominator of w and 34\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -20*a - 55. Let u = a + 28. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67800 divided by 20?\nAnswer: -3390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/3)*n*n*(n*n**4\/n)\/n*n)\/(n\/((n*n**(-1\/3)*n*n*n)\/n)*n\/(n**(-1\/11)*n))*(n**(2\/5)*n*n**(-5))\/(n**6\/n*(n*n*n**5)\/n) assuming n is positive.\nAnswer: n**(-368\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.973 - -6.073. What is the nearest to q in 0, 1846, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-95)\/220 - 4\/(-22). Let n = 2 + -3. What is the nearest to f in n, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/21811643 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 30*n**2 - n - 2. Calculate m(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**29)\/m)\/m*m)\/(m*m**(2\/65)))\/(m\/m**(-3)*m*m)**(-20) assuming m is positive.\nAnswer: m**(5848\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26.9 + -28. Let i = -0.1 - k. Let x be (-405)\/180 + 1\/28*79. Does i = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48.511 - -48.011. Let u = -116\/3 - -39. Suppose -a + 3 = -1, -4*j - a = 16. What is the smallest value in o, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + b - b)*(56 - 52*b - 56) to y*b**2 + u + i*b and give y.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1543 + -511. Let w = r + -1032.002022. What is w rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580343 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-5 - (-60)\/24)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from honhwln.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2475)\/110*9\/5*4\/6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -971.7 and -222.1544481.\nAnswer: -1193.8544481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 1\/36*s**4 - 1\/30*s**5 + 8*s**2 + 0 + 0*s**3 + 1\/90*s**6 + 0*s. Determine m so that h(m) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**6\/120 + c**5\/10 + c**4\/12 - c**3\/3 + 4*c**2. Is n(-5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5400 and 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*m = 155. Suppose -4*o - 5*y - 49 = 0, 2*o = 7*o + 3*y + 45. What is the remainder when m is divided by 6\/(1\/((-8)\/o))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -355*b**4 + 103*b + 0 - 331*b**4 + 782*b + 2*b**3 - 2 wrt b.\nAnswer: -8232*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2. Let s(a) = 2*a**2 - 12*a - 2559. Calculate s(b(v)).\nAnswer: 8*v**4 + 24*v**2 - 2559","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252375 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Let m be (-21)\/9*(-6)\/v. Let p(d) = 0 + 0 + 4*d - m*d. Let y(w) = 4*w. Give p(y(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05350006312 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/7)\/(1\/7). Suppose b - 3 - 8 = 2*n, -f*n - 8 = 0. Suppose -b*i = -2894 - 2017. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**5\/60 + 13*n**4\/24 - 11*n**3\/2 + 12*n**2. Let f be a(8). Suppose -f*b + 3 = -6*b. Solve -7*c - 20 = -b*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15340421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00182613983 rounded to 7 dps?\nAnswer: 0.0018261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 15*q**2 + 3*q + 311. What is the remainder when f(0) is divided by 77?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3208142797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(0 + sqrt(125))*1 + (1 + sqrt(125) + -5)*-6)**2.\nAnswer: -3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 1. Calculate h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n**4 + 1354*n**3 - 1348*n**2.\nAnswer: -2*n**2*(n - 1)*(3*n - 674)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*q - 4*k, 0 = 5*q - 0*q + 2*k - 30. Let i = q - -71. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u + 3*u**3 - 3*u**4 - u**4 - 4*u**5 + 9*u**3 + 9*u + 20*u**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2319 and 14547087?\nAnswer: 2319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 3198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-17)\/j)\/(j\/(j*j**(1\/18)*j))*j**(1\/8)\/j**(2\/45) assuming j is positive.\nAnswer: j**(-6071\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*p**2 + 1239*p - 1239*p - 2 + (-4*p + p + 2*p)*(4*p - p - 4*p) + p**2 - p**2 + 2*p**2 - 1 - p**2 + 1.\nAnswer: -9*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 473435.2 grams?\nAnswer: 0.4734352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 + 29802*k**3 - 147996720*k**2 + 244786396032*k + 735691963392.\nAnswer: -2*(k - 4968)**3*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2959*m**2 + 1263*m**2 - 5696*m**2 - 3708*m**2 - 5413*m**2.\nAnswer: -16513*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45070627 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3) + 16*260\/240?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**3*p**3*v + b**3*p**2*v + 2*b**2*p**2 + 28*b**2*p*v - 2*b**2*p - 622629*p**4*v - 717*p**2*v - v wrt p?\nAnswer: 30*b**3*v - 14943096*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.41 + -74.59. Let w = 75.043 + h. What is w rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113 - 95. Suppose -3*r - 2*r = -3*p - 90, -r + m = 2*p. Let q(k) = k**2 - 17*k - 16. Let j be q(r). Solve 4*o - 4 = 0, 5*g - j*o = -1 - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 247*c**2 - 2*c - 23. Is b(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1228, 360, -2006, -6620, -14232, -25592?\n\"Answer: -125*z**3 + z**2 + 4*z + 1348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6281729 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: Rearrange -43 - 46 + 684053*l**2 - 684063*l**2 to the form f*l**2 + t + u*l and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 278\/1099 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - a3?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 2*d - 1. Let v(b) = -b**2 - 3*b + 4. Let k be v(-4). Let o = 4 - k. Calculate f(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20331 + 10?\nAnswer: -20321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1974*f**3 - 5*f**2 + 9*f - 4. Let o be j(2). Let c = o - -43398. What is c rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.1, 1\/47, -67\/2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - (8 + -2 + -4). Let m(o) be the second derivative of -2*o**3\/3 + 3*o**2 - 3*o - 5. Determine m(u).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnll when four letters picked without replacement from {l: 10, n: 1, j: 1, g: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = -6*y + 49. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v + 6. Give b(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 8*l**2 - 8*l + 6. Let x = -95 - -102. Give h(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 3*o + o)*(-8744*o + 2542*o**3 - 8753*o + 17497*o) to the form c*o**2 + x + k*o**3 + g*o + y*o**4 and give y.\nAnswer: 5084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 3, -0.017?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -1.1. Let i be (-4)\/(-22) + (-144)\/(-176). Which is the closest to h? (a) 0.4 (b) i (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3230 by -646.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 397870 and 4510.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.121 times -0.2?\nAnswer: -0.0242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (29 + -21)) + 6 - (1 - 84)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 13*o - 26. Determine d(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 20*m**2 - 20*m - 17. Let d be l(-19). Let o(r) = -r**3 - r**2 - r + 4. Let g be o(0). Solve 24 = g*y + d*h, 20 = y - 0*y + 4*h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 3*a + 0*a)*(2*a**2 - a**2 - 2*a**2) + (-5*a**2 + a**2 + 2*a**2)*(0 + 3 - 4)*(7*a - 4*a - 9*a) as t + z*a**2 + l*a + y*a**3 and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 60325027, 120650060, 180975095, 241300132, 301625171, 361950212?\n\"Answer: i**2 + 60325030*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a**2 + 2*a + 3. Let d(n) = 20*n**2 + 5*n + 5. Let g(s) = -2*d(s) + 5*v(s). Differentiate g(o) with respect to o.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 2, 17, -1.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123868, 495604, 1115180, 1982596?\nAnswer: 3097852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**3 - 4*x**2 + 3*x - 1. Let g(p) = 6*p**3 + 5*p**2 - 4*p + 1. Let f(j) = -4*g(j) - 5*z(j). What is the units digit of f(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3897 smaller than -3899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*y - 4*y + 5*y)*(2 - 6 + 1) - 3*y + y + 3*y)*(-y - 2*y + 2*y) in the form a*y + f*y**2 + p and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 62041 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -6. Let t(o) be the first derivative of 1\/5*o**5 + 0*o**3 + 0*o**4 + 0*o + 1\/2*o**m + 1. Find the second derivative of t(l) wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8967)\/(-26019) + (-30)\/2655.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 915656327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 + 2.5. Let f = -5 - i. What is the nearest to -1\/4 in -0.5, 3, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 35 = 26, 10*a - 5*a - 47 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 - 2*q**5 - q**2 + (-2 + 6 - 2)*(0*q**2 + 0*q**2 + q**5) + 616 + 59*q**5 - 616.\nAnswer: 59*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 + 104. Which is the second smallest value? (a) 3 (b) 0.4 (c) s (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 204*p**2 - 43*p**2 - 6*p + 9*p - 3*p as y + r*p**2 + j*p and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-18) - (-824)\/(-18). Let z = -31 - h. Calculate the greatest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 265601.6 litres?\nAnswer: 265601600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**4 - 2*m**3 - 6*m + 2 + 36*m**2 + 44*m**2 - 80*m**2 as h*m**4 + u*m**3 + n*m + v*m**2 + x and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 40*d - 326. What is i(27)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58.8 + -59. Which is the nearest to s? (a) 3\/4 (b) 4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/3*3105\/(-805)\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/4 and 23\/21623960.\nAnswer: 21623960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 2*a + 37*a**2 - 17*a**2.\nAnswer: 22*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00071352 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -574, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 12 = -0*i. Let c be i\/(-1 + 1473\/1428). Let p = c - -4244\/45. Calculate the common denominator of p and -1\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1 + 1*sqrt(1700))**2 + sqrt(153)\/(2*sqrt(9)*4)).\nAnswer: -8505 + 795*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2582152 - 96145.35\nAnswer: 2486006.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p - 7*p + 14*p + 2)*(p**3 - 2*p**4 - p**3)*(-8 - 19 + 15).\nAnswer: 24*p**5 + 48*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1197*j = 1214*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1395 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12212212011 (base 3) in base 9?\nAnswer: -185764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*b + 4*q, 5*b - 3*q + 8*q - 25 = 0. Let w(v) = 4 - 4 - 3*v - b - 5. Let n be w(-6). Solve -l - 2*l = n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**2*h**(3\/5)*h)**(-23) assuming h is positive.\nAnswer: h**(-529\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126478255?\nAnswer: 5, 1511, 16741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 50*a**3 + 7*a**2 + 36*a - 7. Let u(x) = -54*x**3 - 8*x**2 - 37*x + 8. Calculate -8*d(v) - 7*u(v).\nAnswer: -22*v**3 - 29*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2966 + n + 1564*n**2 - 1526*n**2 + 2963 in the form h + y*n + g*n**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189486 and 3630?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 + 15*w - 34. Determine k(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 303721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/6)\/((-2)\/(-42)). Let k be 36\/(-126) - 111\/(-21). Let m(o) = o**2 - 2*o - 5. Let f be m(4). Solve f*r = s + k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 392 + -2749\/7. What is the second smallest value in 0.2, d, -3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r = -25*r - 448. Let d = -32 + r. What is the units digit of (18\/(-8))\/(15\/d*-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -283765, -283722, -283683, -283648, -283617, -283590?\n\"Answer: -2*y**2 + 49*y - 283812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 174*h = -179*h + 27, 117*h + 585 = 0 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(400\/16))\/((-4)\/60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -110, -134, -178, -248, -350, -490?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-113270)\/12 + (1 - -2). Let r = p + 9414. Find the common denominator of r and 6\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-744)\/(-558))\/((-2)\/(-3)). Solve 2*u - 9 = 3*u + s, -2*u + 2*s = x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -889\/3 or -296?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122600, -122647, -122716, -122807, -122920?\nAnswer: -123055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1795 divided by -14664.\nAnswer: -1795\/14664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 1:41 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 526371432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k + 6 = 13*k, 0 = 3*v + 3*k - 2244. Which is bigger: v or 752?\nAnswer: 752","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4854644 divided by 83\nAnswer: 4854644\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 14 = -17. Suppose -5*h + 0*h = 2*g - 55, 0 = d*h - g - 33. What is the remainder when 339 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.11 in 0, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 7667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 4*j + 120. Solve -2 = j*c - 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4359427 to the nearest integer?\nAnswer: 2088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 5.7\nAnswer: 28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182360 divided by 1.\nAnswer: -182360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 46001592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(364)\/((sqrt(1792) + sqrt(28))\/sqrt(4))*1)\/(sqrt(64)*2 - (sqrt(576)*2 - sqrt(576))))**2.\nAnswer: 13\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8138644 is divided by 10765?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h - h**2 - 2*h**2 + 3*h + 2. Suppose -w = -3*l + 14, 0 = -4*l + 1 + 19. Let b = -1 - w. Calculate o(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4223, -4317, -4411, -4505, -4599?\nAnswer: -4693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 9*x - 19. Is 9 a factor of 3 - x\/(-2 + 1)*146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115\/3 + -38. Let z = 92.5 + -100. Let j = -10.5 - z. Which is the nearest to q? (a) 2 (b) j (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335 (base 11) in base 8?\nAnswer: -621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 3:11 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 13. Let t be (-2)\/(-9) + 4\/w. Let g = t + 2. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2658 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.1. Which is the nearest to -4\/3? (a) -0.2 (b) 4\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/1237 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 + 31612*v\/11 + 124914818\/11.\nAnswer: 2*(v + 7903)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5 + 1728*c**4 - 250548*c**3 + 492486*c**2 + 250551*c - 494214 = 0.\nAnswer: -1, 1, 2, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3))**(1\/5)\/(x**(3\/4)*x**(2\/11)) assuming x is positive.\nAnswer: x**(-659\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 15\/(-9))\/((-3)\/9). Suppose -2*w + 10 = -0*w + 5*k, -t*w - 8 = -4*k. Solve w*y + 11 = j - 2*y, 3*y = 5*j - 20 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.377 - 0.376999541. Round l to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -822 - -807 - (-21 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahaa when four letters picked without replacement from ahaaaaaaahaahhaaaa?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 - -121. Which is smaller: -1\/20 or h?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*k - 302*k + 16 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5861.417 meters in micrometers?\nAnswer: 5861417000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**4\/24 + 7*k**3\/12 - 3*k**2 + 140*k. Suppose b(u) = 0. What is u?\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/169305 and 47\/55362735.\nAnswer: 55362735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0431375 rounded to 4 decimal places?\nAnswer: -0.0431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 291\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4698*m**3 + 3 - 5 + 4673*m**3 + 2.\nAnswer: -25*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1974773?\nAnswer: 139, 14207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmtjjjtuttuucw. Give prob of picking 1 j, 1 w, and 1 c.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3658.\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t - 1. Let a(p) = -p**3 + 4*p**2 - 4*p + 3. Let u be a(2). Let y be 1\/(u\/9*1). Let v = 2 - y. Calculate h(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 25*y**2 - 340*y + 7640. Give f(24).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23911703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -39. Let a(b) = 3 + 5 + 3 - b. What is the remainder when y is divided by a(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000294794 rounded to 6 decimal places?\nAnswer: -0.000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 - 62. Calculate the smallest common multiple of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6518\/47 - -49\/141. Are -138 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/29? (a) -26 (b) -0.2 (c) 5 (d) -288\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 + (2 - 1) + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 15*m**2 + 36*m + 36. Let v be i(-17). Let l(r) = -33*r**2 + 33*r**v - 57*r**2. Let y(c) = 2*c**2. Determine y(l(o)).\nAnswer: 6498*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/125817107 and 23\/10940618.\nAnswer: 251634214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5938589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-3) + -1)*(-65 + 59). Sort -2, -3, b, 13 in increasing order.\nAnswer: b, -3, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3\/u**(-1))**(1\/16))**(-27) assuming u is positive.\nAnswer: u**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.653146ng to tonnes.\nAnswer: 0.000000000000003653146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtgtmttm. What is prob of picking 2 m and 2 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 15*y = -24. Is 51964\/y + (-7)\/42 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2*c + 2 = 13, -4*s - 194 - 159 = 5*c - 408 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-2967\nAnswer: 593.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620024 is divided by 206514?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-15))\/((-92)\/690))\/(-3)*(-1)\/(-19).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0 + 0)*(r**2 - 3*r**2 + 3*r**2) + 7*r**3 - r**3 + 2*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*q**5 - 130*q - 2 wrt q?\nAnswer: -960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 17*g + 7 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/2*i**3 - 18*i**2 - 31\/2*i - 4 + i**4.\nAnswer: (i - 8)*(i + 1)**2*(2*i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 102, 351, 736, 1257, 1914, 2707, 3636?\n\"Answer: 68*m**2 + 45*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 427375\/49125912 + -2\/38621. Calculate the common denominator of k and 59\/27.\nAnswer: 11448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iziiziz. What is prob of picking 1 i and 2 z?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-2 - 8) + 15 + -4 + 42 - -4).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1360 + 252*t**4 + 1360)*(-11 - 10 - 1).\nAnswer: -5544*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 c, and 1 i when four letters picked without replacement from {d: 4, i: 2, c: 3, x: 1, g: 1, n: 2}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 67465, 134923, 202379, 269833, 337285, 404735?\n\"Answer: -d**2 + 67461*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 = 26. Let a(f) be the second derivative of -f**6\/720 - 11*f**4\/6 + 33*f. Let b(u) be the third derivative of a(u). Determine b(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14699.256 to the nearest ten.\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 451.6 and 16728.584.\nAnswer: 17180.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31848554 divided by -1?\nAnswer: -31848554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3586b + 664?\nAnswer: -35207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgqcf. What is prob of picking 3 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -632 + -5?\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 + -112122000102?\nAnswer: -112122001200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5397 is divided by 1777?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2198480199 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 194.2 + -202. Suppose 0 = l + 2*l + 6. Let s be l\/9 - (-68)\/144. Which is smaller: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191 + 90 - (-10 - 2) - -15\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.9 and -85.33.\nAnswer: -162.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1129748 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2\/3 - 2\/9*r + 4\/9*r**2 = 0?\nAnswer: -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5832 is divided by 609.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z + 196. Let p be v(-16). Let d = p - 256. Sort 5, d, -5 in increasing order.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7982 (base 10) in base 11?\nAnswer: -5aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2765\/25 + 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -h - 5*h. Suppose 4*f = -5*g + h, 0 = 2*f + f. Factor -4\/5*i**2 + 2\/5*i**4 + 2\/5 + 0*i**g + 0*i.\nAnswer: 2*(i - 1)**2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1039719 by -5.\nAnswer: -1039719\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(190)*-1 + sqrt(190) + sqrt(190))*-3 - sqrt(190))*6)\/(((sqrt(250) - -4*(sqrt(250)*-2 + sqrt(250))) + sqrt(250))*5).\nAnswer: -48*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 321, 653, 1369, 2601, 4481?\n\"Answer: 22*d**3 + 60*d**2 - 2*d + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-236)\/(-55) - 306\/255 - 4?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(((-174)\/169012)\/(1\/2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m + 4*m + 2*m. Let b(k) = -20 - 21 + 2*k + 41. Give b(u(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/914292 and 38\/233.\nAnswer: 914292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -7. Let j be b*2\/2 + -11. Let t be (-2)\/8*18\/j. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2061 + -1869. Which is bigger: y or 189?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 12:21 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8822, -1306, 11220, 28756, 51302?\nAnswer: 78858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(94\/46 + -2). Let j = 30 - n. Suppose -2*u + 10 = f, u + 2 - j = 4*f. Solve 2*q + 35 = -u*g, q = 3*g - 3*q - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4*x - 5*o + 82, -706 = -x + 2*o - 1468 + 720 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r**3 - 10*r**2 - 3. Let u(y) = -8*y**3 - 11*y**2 - 3. Let s(t) = -7*n(t) + 6*u(t). What is s(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1485 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6161 + 2418?\nAnswer: 8579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1639 divided by 149.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 4*s - 8*s - 4*l - 48, 3*l = 4*s - 2*s - 41 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 488\/12 - (-4)\/12. Let v = l + 119. Let m = v + -80. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9624452 (base 10) in base 11?\nAnswer: 5483aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 11:42 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 36*q - 5658. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1920, 3835, 5762, 7707, 9676, 11675, 13710?\n\"Answer: h**3 + 1908*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g - 18*g - 8*g - 48*g.\nAnswer: -60*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6538901.\nAnswer: 1531, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*q**2*w*x**2 + 9*d*q**2*w*x - 441*d*w*x**2 - d*w*x - 5*d*x + 2*q**2*w*x - 98*q**2 + 2*q*x**2 wrt x.\nAnswer: -4*d*q**2*w - 882*d*w + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*f*s + 6317*f + 91921*s with respect to f.\nAnswer: -6*s + 6317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t - t + 4*t - 3*t + 20 - 4*t + 248*t**4 wrt t.\nAnswer: 2976*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 8*k - 7*k. Suppose -n - 7 + 93 = 3*s, 0 = 4*s + k*n - 104. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = r - 5. Suppose -11*h + 20*h = 18. What is the second smallest value in 1, h, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -192\/19, 2\/15, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddww. What is prob of sequence dwwd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 13*n - 5. Let f(w) be the second derivative of w**2\/2 + 5251*w. Determine -a(z) - 3*f(z).\nAnswer: -13*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -11*k**8\/24 - 9*k**5\/5 - 117*k**2. Find the third derivative of p(i) wrt i.\nAnswer: -9240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 778\/13 - (-14)\/91. What is the greatest common divisor of 75 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*((-104)\/(-13))\/24?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s + 0*s + 2*s + 0*s - 2*s + s + (-4 - 3 + 5)*(3*s - 2*s + 2*s))*(2*s**4 - s**4 - 3*s**4).\nAnswer: -4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 14\/317?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 909332, 1818634, 2727936?\n\"Answer: 909302*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 744964*-0.5\nAnswer: -372482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 - 3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 6. Let n be t(3). Suppose 3*j + 3*j - 150 = n. Suppose 3*d - j = h, -d - 2*d + 3*h + 33 = 0. What is the greatest common divisor of 42 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1357 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1027530 is divided by 1331.\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1681*v**3 - 16*v**3 + 314*v**3.\nAnswer: 1979*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-29\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 8*w + t - 5, 0 = 4*w + 4*t - 8. Solve 6*j + 3 = w*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -834.\nAnswer: -834.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -424235 (base 16) to base 5\nAnswer: -2102423300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 0, 95*i - 100*i = -5*w - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1664*c - 149182 = -125886 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23663, -3, -466?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 12*r**2 + 21*r**2 - 10*r**2.\nAnswer: -r**2 + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.269 (b) -646 (c) 184\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78742 - 196742. What is l rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8\/3, -0.05, 0 in descending order.\nAnswer: 8\/3, 2, 0, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 7\/43, -4.\nAnswer: -8, -4, 7\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0754541469 rounded to 3 decimal places?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 + 106. Suppose 4*q = 3*p + 2309, -3*q = q + s*p - 2316. Is q a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13277, -20\/11, 0.5.\nAnswer: -13277, -20\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -1005, 9 in decreasing order.\nAnswer: 9, -4, -5, -1005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f**3 - 43*f**2 - 43*f**3 + 17*f**3.\nAnswer: f**3 - 43*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -326 + 1004. Let z = p - -141. Does z = -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/15 and 52\/35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - 58*a - 5717 = -4129 - 3221 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101111001000 (base 2) to base 11.\nAnswer: 19804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*w + 118 + 17 = 0, -30 = -u - 2*w. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*v - 3, w = -2*v + 2377. Let h = -842 + w. Suppose -3*z = h + 285. What is z rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1804 or 1805?\nAnswer: 1805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 34538, 550.\nAnswer: -2, 550, 34538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 286.48644221 from -33.9.\nAnswer: -320.38644221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3, 2*y + 4*f - 5 = 3. Let w(n) = 3*n**2 - 8*n**y + 0 + 0. Let q(g) = 1 - g**2 - 4 + 3. What is w(q(c))?\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/((w**(1\/9)*w*w)\/w))))\/(w**5\/w)*(w\/(w**(-1)\/w))**(-9\/7)*((w**(-1)*w)\/w)**(8\/7)\/((w*w**5\/w*w)\/(w**(-2)*w)) assuming w is positive.\nAnswer: w**(-145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(sqrt(2) + (sqrt(16)\/sqrt(2))\/sqrt(4))**2*-1.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43800812963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 - 1 = 0, j = -3*c - 8. Let m be 2 - (c + 6 + -1). Let q = 5 - 3. Which is bigger: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**5\/60 + j**4\/3 + 3*j**3\/2 - 797*j**2. Give m(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2873, 5935, 9419, 13535, 18493, 24503?\n\"Answer: 35*m**3 + m**2 + 2814*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 47?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 4*y**2 - 12*y + 2. Let s be h(6). Let c = 5 - 3. Let f = c + -2.2. What is the second biggest value in f, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - -4.99. Let f(n) = -n + 2. Let u be f(-7). Let x = u + -5. Which is the third biggest value? (a) s (b) x (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*o + 11120 + 1424, -o + 4*s = -3136. What is the highest common divisor of 224 and o?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23792454.\nAnswer: 2, 3, 7, 20981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + -3*((2*(sqrt(931) + 1) - sqrt(931)) + sqrt(931))**2)*-6.\nAnswer: 1008*sqrt(19) + 67140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27727.19 and -30.\nAnswer: 831815.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 1050.0858\nAnswer: -42.003432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -76*m + 16. Let j(v) = 51*v - 11. Let n(t) = 5*c(t) + 7*j(t). Let r(p) = p**3 + 15*p**2 - 17*p - 22. Let g be r(-16). Is n(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 70*t - 4488. Determine d(-110).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (313*x**3 - 311*x**3 - 9*x + 278*x)*(-7 + 3 + 2) in the form t + h*x**2 + u*x + w*x**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 6*a**2 - 16*a + 2. Let w be b(8). Suppose -17*i + 4*n - 43 = -20*i, -31 = -w*i - 5*n. What is the remainder when 35 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5*y**2 - 14 + 10.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 1853*w + 157. Let j be q(-8). Let l = 1366 - j. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4585*c**3 + 2*c**2 - 2. Let u be g(1). Suppose u = 8*v - 1191. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 less than 77380707438?\nAnswer: 77380707465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 785190 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 294757097 to the power of 1\/2, to the nearest integer?\nAnswer: 17168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 749 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 345 * -0.4.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.2 (b) -10 (c) -55 (d) -95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 15*x**2 - 13*x + 16. List the prime factors of t(14).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.3611cm in nanometers?\nAnswer: 1563611000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 13 = 4*h - 2*h, 2*r = 5*h + 19 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1555 - 1077. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3 - 1 = 0. Let q(k) = -k**2 + 2*k + 2. Let a be q(d). Factor 6*c - 3*c**a + 1\/2*c**3 - 4.\nAnswer: (c - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375022062 equal to 375022062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 9924 = 6*l. Let j = l + -563. Is 22 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8542204ns to hours.\nAnswer: 0.000000000000792839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19692*z**4 - 26274*z**3 + 8776*z**2 - 8*z.\nAnswer: 2*z*(3*z - 2)**2*(1094*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464938*f + 464635*f - 929840*f - 3.\nAnswer: -267*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -13*g + 27. Let z be k(2). Which is smaller: -2\/857 or z?\nAnswer: -2\/857","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1083125.476151 - -1083125. Let v = -0.476 - f. Round v to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/5 - 1032*b\/5 + 88752\/5.\nAnswer: 3*(b - 172)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -434242314 (base 6) to base 10\nAnswer: -7766182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -3*w + 23, w + 13 + 11 = -0*w - 5*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4147 and 6330555?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1334\/9 + 148. Suppose -4*t - 22 = -2*u + u, 0 = -u + 3*t + 17. Let k = 146 - 146. Which is the closest to k? (a) 0.3 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.1 + 5.6. What is the second smallest value in -9, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142450, 142816, 143184, 143554?\nAnswer: 143926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -24 + (-4 - (-10 + -8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 971 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/812 and -39\/20.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1544110.\nAnswer: 2\/772055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1920 divided by 160?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*b + 4, -5*b = -3*l - 4. Let d = l - 9. Let p = d - -3. Put p, -2, 3 in descending order.\nAnswer: 3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.2 times -0.03?\nAnswer: -0.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 60*x**2 + 69*x - 236. Let z be g(3). What is the highest common factor of z and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4654 and 4.\nAnswer: 1.8616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 230.99 * -5764.8\nAnswer: -1331611.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 213 + -1?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-7))\/(86\/602).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/5)\/(54\/10 + -5). Suppose 0 = 3*c - m - 238, -2 = m - i*m. Suppose -4 = -t - 0, 4*z = 4*t + c. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1186, -4640, -10394, -18448, -28802?\n\"Answer: -1150*i**2 - 4*i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8773 greater than 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p**3 + 11*p**3 + 0*p**3)*(-4792 + 268*p + 4792) to the form d*p**2 + o*p**3 + m*p + t + y*p**4 and give y.\nAnswer: 1876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 519936212, 1039872425, 1559808638?\n\"Answer: 519936213*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/((-3 - 1)\/(-4)). Suppose 10 = -0*c - i*c. What is the smallest common multiple of 4 and (-240)\/(-25) - c\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 18 = j, 5*j + 135 = 2*b + 115 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:10 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -0.5 (b) -10 (c) -1 (d) -7\/6 (e) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + 1100001001110010111?\nAnswer: 1100001001110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 13*t. What is l(2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 158*d + 7352. Is 35 a factor of h(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 11*i**2 - 13*i - 9. Let p be d(-12). Let o be 2\/(-8) + (-17)\/(-4). Solve p*b - 4 = 2*x, -2 = -5*b - x - o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*x + 0 + 0.\nAnswer: 29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.29, 0.5, -288\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ba + -1119?\nAnswer: -c2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 670 a factor of 5439730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 60 = -4*d, 863 = 4*d + 3*q + 1649 - 830 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 51.0000368. Round n to 6 decimal places.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14139.6869 to the nearest one hundred.\nAnswer: -14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 676423 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -486395*s**2 + 738251*s wrt s?\nAnswer: -972790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -4 + 4 + (-3780)\/2100 - -16.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.7 - -103.7. Sort 0.1, 4, h in descending order.\nAnswer: h, 4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 731 + 78. What are the prime factors of g?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2494 - 317. What are the prime factors of z?\nAnswer: 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15870 to the nearest 100.\nAnswer: 15900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 10\/3*(2 + 4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 1 - 1 - 2*i**4)*(4*i + 0*i - 3*i).\nAnswer: -2*i**5 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62615432.\nAnswer: 2, 11, 711539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1187663297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxxfzzzxxxkzzzfxxxzc. What is prob of sequence xk?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.01822 hours in minutes?\nAnswer: 121.0932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, e: 3, g: 1, n: 1, w: 2, u: 3}. Give prob of sequence uw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2146*q - 1386*q - 1384*q - 117*q**2 - 39*q**2 wrt q.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 + 5*r - 3. Let v(l) = 2*l**2 - 3*l + 2. Let y be (-17)\/(-5) + (-24)\/60. What is y*f(q) + 5*v(q)?\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344964609.\nAnswer: 3, 11, 1161497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*b**3 - 5*b**3 - 132*b - 6*b**3 - 7*b**5 + 6*b**5 - 51*b**2 wrt b?\nAnswer: -20*b**3 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11968422 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -19054*q + 133366. Determine l(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10285 = -3124*h + 107129 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (235\/(-35) - -5)*56\/(-16). Solve 0 = -2*z - n + 1 + 6, 0 = 2*n + b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 185 + 880. What is the greatest common factor of 30 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 + (-17289)\/(-36) - (-1)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 3)*(p + 8*p - p)*(-3*p**3 + 0*p**3 + 4*p**3) as i + b*p**4 + t*p + q*p**2 + x*p**3 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -8*j - 1. Let x be y(-1). What is the greatest common divisor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Suppose -h - 7 = -13. Does 8 divide 63\/h - 6\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 9:22 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 827414 rounded to the nearest 1000?\nAnswer: 827000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1032)\/(-27))\/(-2)*18\/(-4) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33071171 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: Sort 3, 17, 25 in decreasing order.\nAnswer: 25, 17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*c - 20444, -2*c + 6028 + 7623 = -3*q. Does 33 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654071741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -4\/9 (c) -5.6 (d) -85 (e) -2\/7 (f) -83\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25323 - -25328. Solve -v + 5*i - 6*i = 0, -v = j*i + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -910*r - 347*r - 59113 = -1291 for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58638580 and 56.\nAnswer: 117277160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 1. Let m(z) be the second derivative of z**3\/2 - z**2\/2 + 545*z. Let x = -7 + 6. Determine x*y(o) - m(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9449476*p**2 + 2*p**3 + 9449476*p**2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**3 - 1328*v**5 + 2*v**4 + 283*v**2 + v - 361*v**5 + 1173*v**5 wrt v?\nAnswer: -30960*v**2 + 48*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.0504.\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrn when three letters picked without replacement from {w: 4, r: 8, h: 2, n: 1, m: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 937 and 428209?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 6*p**2 - 222*p + 1 - 125*p + 514*p to the form b + i*p**2 + t*p and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8573962*a - 2 + 3.\nAnswer: 8573962*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**3\/12 + h**2\/4 + 6. Factor t(b).\nAnswer: b*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/20)\/((-11)\/((-440)\/48)). Which is the nearest to u? (a) -2\/5 (b) 3 (c) 0.3 (d) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -287, -558, -829, -1100?\n\"Answer: -271*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byg when three letters picked without replacement from zylgylyybhlyhgl?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0, 6, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -615110? (a) -2 (b) 3\/17 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 518789349?\nAnswer: 518789349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 5*n**2 - 6*n - 3. Let b be x(6). Let k = -5 + 3. Are b and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 0)\/(9\/6). Suppose 5*g - 2*l - 16 = -4, -3*l = 4*g - 5. Suppose -8*r = -g*r. Solve r = p + p - s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20 and 0.08.\nAnswer: -19.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.63 + 10.37. Put 5, 0.1, l in ascending order.\nAnswer: 0.1, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -522*p**2 + 3. Let v(x) be the third derivative of -x**4\/12 + 2*x**2 + 106*x. Calculate v(d(f)).\nAnswer: 1044*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -154 + 145 - (2 - (-1 - 0))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1400811*x - w = 1400808*x - 5, -3*x + 4*w = -16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + 1\/((-2)\/(-4)). Let g = a + -3. Suppose -g*q + 9 = 3*n, -12 + 0 = -3*n. Is -1 equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 532 + -522. Solve -i*r - 36 = 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 14 - 12 - 5*w**2 + 30 - w**3 + 6*w**3 to c*w**2 + s*w**3 + x*w + j and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -37*g**5 + 125*g**4 - 49*g**3 - 115*g**2 + 95*g - 13. Let c(f) = -f**5 - 2*f**3 + 1. Let d(n) = 3*c(n) + j(n). Suppose d(i) = 0. What is i?\nAnswer: -1, 1\/8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxc when three letters picked without replacement from ctccfccfcfxtfqqcqtc?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 743 (base 10) to base 8.\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 7:11 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45*u + 67*u + 40 - 23*u)*(0*u - u**2 + 0*u) in the form y*u + m*u**2 + x*u**3 + n and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/337 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 times -0.835172?\nAnswer: 0.27560676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321973.\nAnswer: 41, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 10*x**2 + 6*x + 20. What is k(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/(-2)*1329\/(-1772)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -304538 and -304538 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18d97 + -4?\nAnswer: 18d93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -302 (c) -10 (d) 169\/36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-20))\/(11\/22)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 9303484?\nAnswer: 9303484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 15*u**2 + 221*u + 40. Determine c(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.4, 534, 267?\nAnswer: 534","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 18*b**2 + 38*b - 213. What are the prime factors of s(7)?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 107902 or 108012?\nAnswer: 108012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n. Let u(j) = 15*j - 2. Let h be (-56 + 57)\/((18\/(-45))\/((-4)\/10)). Calculate h*u(d) - 2*q(d).\nAnswer: 13*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 876, 1753, 2630?\nAnswer: 3507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -280854*f + 203474 wrt f?\nAnswer: -280854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*l - 462 = 76*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32544868531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4, -10, -42, -98, -184, -306, -470?\n\"Answer: -l**3 - 3*l**2 + 2*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -4*d + 0*d**5 + 0 + 0*d**4 + 0*d**2 - 8\/15*d**6 - 9\/2*d**3. What is the second derivative of g(u) wrt u?\nAnswer: -192*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = 1142 + 478. What is the derivative of -26 + b*j**2 + 2*j - 4*j - 7 + 2*j wrt j?\nAnswer: 180*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11432 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 47. Let u be g(10). Let p = -75 - u. Solve -j = -p*i - 2*i - 17, -4*j + 16 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 2\/21 (c) 1929\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in 0.4, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36.148 + 33.148. Let v be (-9)\/21 - (-4)\/336. Which is the closest to -0.1? (a) v (b) 0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**5*y**(-1)*y*y**(-6)*y**8 assuming y is positive.\nAnswer: y**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, k: 3}. Give prob of picking 2 k.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**3 + 4*i**2 - 7*i - 5. What is x(2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2431 and 1309?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3881828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 + 17*t - 5. Let y(r) = r**2 - 6*r + 2. Suppose m = -4*s - 11, 0*m = 2*m + 4*s + 14. Give m*n(a) - 8*y(a).\nAnswer: a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**3\/3 + 2*f. Let q(v) = -4925*v + 2436*v + 2507*v. Determine q(u(h)).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28.2 - -23. Let b = 5.6 + m. Let g = -0.048 + 4.048. Put g, b, 0.6, -0.5 in descending order.\nAnswer: g, 0.6, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2220)\/(-2775))\/(13\/(19240\/16)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 17. Let x be z(13). Let a be (0 + 0)*x\/(-12). Let n(u) = u**2 - u + 25. What is the tens digit of n(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 10 + 9*p as d*p + z and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 148 - 86. What is the least common multiple of q and 4?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4206913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2*x - 7*x)*(-1 - 1 + 1) + 0*x + 3*x - 5*x + 3*x - x + 6 - 5.\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {i: 1, j: 4, n: 2, l: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*q + 48, 0 = 4*l - 2*l + 8. What is the lowest common multiple of q and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 186 - 189. Suppose 12 = -2*q + 10. Put -10, 5, c, q in descending order.\nAnswer: 5, q, c, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -11*y**2 + 5*y - 8. Let p(o) = 21*o**2 - 9*o + 15. Give 6*p(k) + 11*z(k).\nAnswer: 5*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = 4*p + 25 + 119 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 27 = 3*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 30692204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: (678\/(-1017))\/((-2)\/24) - 69\/(-1)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1479, -1514, -1573, -1656, -1763?\n\"Answer: -12*c**2 + c - 1468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4684 + -2710. Is y a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1454332 (base 10) to base 14.\nAnswer: -29c00c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 7*v**3 + 7*v**3 - 25*v**3 + 3*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 315949720 divided by 63189944?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**5\/20 + u**4\/24 + 5*u**3\/2 + 15*u**2 + u. Let w be q(3). What is the greatest common factor of 30 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 202 + 1636 = 0. Suppose 0 = -9*c + 10*c + i. What is the remainder when (-5)\/(-30) + c\/(-12) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = -8. Let j = h + -6. Suppose -d - 3*q - 6 = 0, -j*d - 3*q + 18 = -0*q. What is the greatest common divisor of d and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/z*z**(-1\/2)\/z)\/(((z*(((z*z*z**(3\/8))\/z)\/z)\/z*z)\/z)\/((z\/z**2*z)\/z)) assuming z is positive.\nAnswer: z**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -79.739 and 3.\nAnswer: -76.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 5338778*m - 7125637633321.\nAnswer: -(m + 2669389)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 218?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4598 or -4648?\nAnswer: -4648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*k - 101 - 31*k + 66*k)*(2*k + 4*k - 4*k).\nAnswer: 2*k**2 - 202*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3402 or -23808\/7?\nAnswer: -23808\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - -123. What is the highest common factor of c and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.17 + -3.13. Put 4, -1\/2, n in decreasing order.\nAnswer: 4, n, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -242736 + -1021?\nAnswer: -243757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + 6 - (0 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128 divided by -282?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-8)\/u)\/u**(2\/13)*((u\/(u*u\/(u\/(u*u\/u**(-3\/7)))))\/u)\/(u*u*u*u**(-2\/23)\/u))**(-7) assuming u is positive.\nAnswer: u**(28246\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = 0, -4*x + x - 69 = 5*v. Let k be (-1)\/(-2 - 33\/v). Sort 0.5, k, 1 in decreasing order.\nAnswer: 1, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24\/(-10)*((-39)\/9 + 1) and 142.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -1880\/3 - 2\/3*f**2 - 386\/3*f = 0.\nAnswer: -188, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*-4\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 - 5*r**2 - 9 + 0*r + 50 - 19 - r in the form h + q*r**2 + f*r and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 315, -2, -24, -5, 11.\nAnswer: -24, -5, -2, 11, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9892 + 33990 + 40398 = 980*q for q.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60191)\/10468 + (1 - -4) + 506\/696.\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -896*f**2*k + 2*f**2 + 1132 wrt k.\nAnswer: -896*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 = -s, 5*i - 6*i = -3*s + 8. Suppose o - 47 = m, m + 98 = -s*o + 5*o. Calculate the highest common divisor of 102 and o.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13343 + 23092. What are the prime factors of f?\nAnswer: 3, 5, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 3*z - 19. Let r be t(-8). Let h(c) be the third derivative of c**4\/24 - 13*c**3\/3 + 1819*c**2. Give h(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12219 * -0.35\nAnswer: 4276.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 42 = -2. Let c(g) = 5*g**2 - g + 6. Let p(l) = l**2 + 1. Let t(u) = 3*u**3 + u**2. Let v be t(-1). Give n*p(y) + v*c(y).\nAnswer: y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (4 + -1 - 2 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -268210527*a**4 + 172198493.\nAnswer: -1072842108*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015088 rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-102))\/(206\/927))\/3.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 18 + -5 - -65?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -0.2 (c) -5 (d) -3698\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 6:30 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26467*l**4 + 2*l**2 - 88338*l.\nAnswer: 317604*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -674 - -676. Let j = -0.75 - 0.05. Let m be 0\/7 + (-2)\/(-6). What is the second smallest value in h, m, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.149*-482\nAnswer: 1035.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**5 - 75*c**4 + 10*c**3 + 2*c**2 + 352392*c?\nAnswer: -20*c**3 - 900*c**2 + 60*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3300 + -13013?\nAnswer: -22313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*l - 12*l = 276 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*q**4 + 305*q**3 + 10639*q wrt q.\nAnswer: -264*q**2 + 1830*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-8) - (-2)\/(-8). Suppose n + g - 5 = 0, -s = -2*g + 1. Put 1, -3, n in increasing order.\nAnswer: -3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g**2 - 59*g + 388. What is c(11)?\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599885019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.043 - 0.043. Put 0.2, 4, -1, m in descending order.\nAnswer: m, 4, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -668431549 divided by -1\nAnswer: 668431549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z**3 + 22*z**2 - 21*z - 34. Let v(l) = 4*l**3 + 11*l**2 - 11*l - 17. Let t(d) = -3*q(d) + 5*v(d). Let o = -76 - -64. Is t(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 + 552 + f**2 + f**3 - 547 + 13*f + 3*f. Let o(a) = -8*a - 2. Suppose 3*q - 5*q - 3*b + 1 = 0, 2*b + 2 = 0. Determine q*n(g) + 5*o(g).\nAnswer: -2*g**3 + 2*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 2:15 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g. Let m(u) = u**2 - 11*u + 26. Let s be m(3). Let o(q) be the second derivative of 0 + 0*q**3 + 4*q + 0*q**s - 1\/3*q**4. Calculate i(o(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 2214?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 + 7*d - 5. Suppose -2*z = -6, 3*l = 5*z - 9 - 0. Let u be (2 + l)\/2 + 3. Suppose 4*b - 4 = -2*h, u*h - 2*b - 19 = -3*b. What is k(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 14)\/(0 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 436695480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5612 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.210493 and -2?\nAnswer: 2.210493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3, -0.2959, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 77054.73 hours?\nAnswer: 3210.61375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.817 + 5.817. What is the nearest to 5\/7 in -10, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/(-84)*((-7)\/6)\/(1\/((-12)\/(-6)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, c: 1, m: 2, j: 2, z: 1}. What is prob of sequence nnnm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*(4 + (sqrt(343)*-2)**2) + ((2 + 1*sqrt(343))**2 - sqrt(343) - sqrt(343)) + 0.\nAnswer: -5156 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -500*l**2 - 512*l**2 - 505*l**2 + 1511*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139 and 351005580?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - 6\/(-33)) + (-6103)\/(-16830) and 21\/50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 87, 115, 163, 237, 343?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 29\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26155805880982 - -2?\nAnswer: 26155805880984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4831 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 714180839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 65.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**2 + 10*c + c**3 + 5*c**2 - 5*c**2 + 17 - 8*c**2. Let v be h(11). Sort v, 4, -3 in ascending order.\nAnswer: -3, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 840\/504*-277*3. Are i and -1383 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2113131.741 to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*f**2*h - 194*f**2 + 2*h with respect to h.\nAnswer: 47*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124573 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4635751010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2737709?\nAnswer: 13, 197, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0093 and -3.\nAnswer: 0.0279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3386, -2987, -1808, 571, 4570?\nAnswer: 10609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19066.14942 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -355682\/115 or -3092?\nAnswer: -3092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -144772574*u. Let v(a) = -2*a. What is v(y(d))?\nAnswer: 289545148*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -15*b + 35. Let r be p(2). Let y(n) = 5*n - 29. Let l be y(r). Is 10 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**5\/40 + o**4\/8 + o**3\/3 - 2*o**2. Let t(d) be the first derivative of g(d). What is t(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p. Let c(s) = 4810*s. What is j(c(t))?\nAnswer: -19240*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 12*x**2 + 15*x - 645. Is o(26) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/2 of a millennium?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6))\/(5\/(150\/(-4))). Which is the closest to 2? (a) 3 (b) -2\/23 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -111\/58987 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccz when three letters picked without replacement from {j: 1, c: 2, z: 1, u: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.18, -2\/27?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 9:08 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -29*13.318\nAnswer: -386.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10185103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/12 - (-194)\/528. Let y = 155\/616 + q. Let a = 2 - 7. Put a, y, 1 in decreasing order.\nAnswer: 1, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -5 (c) -236 (d) -6 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 14*o**5\/9 - 453554*o**4\/9 + 1468048*o**3\/3 + 15810104*o**2\/9 - 169965440*o\/9 - 16582144\/3 = 0?\nAnswer: -6, -2\/7, 8, 32387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17425 divided by 1025.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 1 (c) -7603\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 8*j - 3. Let d be q(8). Let g be -2*5\/30*d. Which is the nearest to 0? (a) g (b) 127 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 - -5.2. What is the closest to 0.2 in w, -0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -1) + -13 + 10 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-75)*(-162)\/180*3700\/24\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p - 22. Let h be d(3). Let x(t) = -5*t + 2. Let i(c) = c - 1. Let q(f) = h*x(f) - 4*i(f). Calculate q(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 292, 19, -456, -1145, -2060?\nAnswer: -3213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1.06. Let z = -33 + 32.74. Let f = z + i. Which is the nearest to 1? (a) f (b) -0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -185 - -188. Which is greater: z or 24\/7?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2596.53l?\nAnswer: 2596530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 705*w**2 - 36710*w - 289800.\nAnswer: 5*(w - 46)*(w + 7)*(w + 180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 36*c**2 + 25*c**2 + 11 - 50*c**2 + 23. Let q(g) = 3*g. Calculate u(q(d)).\nAnswer: 66*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 126065*y - 90. Let m be t(6). What is m rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*z**3 - 283*z**3 - 177*z**3 - 128*z**3 - 83*z**3.\nAnswer: -573*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9 - -4)\/(100\/(-60)). Solve -2*x = b*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-14)*((-19437)\/513 + 38).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 5. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 + c + 1. Suppose 0 = 387*v - 389*v + 6. Suppose -v*w - 344 = -341. Calculate j(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21268 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -3 + sqrt(11) - sqrt(11)) + sqrt(11))*-4.\nAnswer: -4*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -10. Which is the closest to q? (a) 2 (b) -2\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161704 and 52258.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, y: 5}. Give prob of picking 2 y.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/(2\/(-324)). Let q = p + -48. What is the least common multiple of 9 and q*(0 - 3\/(-9))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1964 and 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -27. Let r be -3 + 3 + (v - 2). Suppose -6*i + 2*i - 4*z + 52 = r, -30 = -5*i + 2*z. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62559879?\nAnswer: 3, 20853293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16802 + 18 - 2*3. Suppose r + 4119 = 3*d - k, -20957 = -3*d - 5*r. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-15))\/(80\/25 + -3). Suppose 60 = 4*t - i*y, 5*y - 7*y = 4*t - 30. Factor -5\/4*s**2 + 0 - 25\/4*s**4 - 5\/2*s + t*s**3.\nAnswer: -5*s*(s - 1)**2*(5*s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4062 and 1677606?\nAnswer: 1677606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/((sqrt(500) - (sqrt(500) - -2*sqrt(500))) + sqrt(500)))**2 + 3.\nAnswer: 303\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sittskirrkkj. Give prob of picking 1 k and 1 j.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*o + 25*o - 96. Let w(j) = 821*j - 9. Is w(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (27 + -9)*46\/6. Suppose -j + p = j. Suppose 3*r = -15, 2*g + j = 3*g + 2*r. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1769076 divided by 471\nAnswer: 3756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4237 times -13662.9?\nAnswer: 5788.97073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50195, -50183, -50163, -50135, -50099?\nAnswer: -50055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 25. Let n = -5 - b. Suppose l = -n + 5. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -188*b*l + 569*b*q*w - 61*b*q - 6*l*q*w + 2*l*q + 53*q*w wrt w.\nAnswer: 569*b*q - 6*l*q + 53*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(-1\/4)*n)))**(2\/73)\/(n**(-6\/11)\/(n**(1\/3)\/n)))\/(n**(-1)*n**(-1\/4)*(n\/(n**5*n*n))\/n*n**(-4\/5)) assuming n is positive.\nAnswer: n**(431179\/48180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -25. Let q be 1788\/n - 2\/(-11). Let b = 56 + q. Solve 2*y + b*z + 8 = 0, -4*y + 8*y + z = -13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/9 + 4*g**2 - 170*g\/9 + 44\/3.\nAnswer: 2*(g - 3)*(g - 1)*(g + 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**5 - 4820*w**2 - 7398*w.\nAnswer: 20*w**3 - 9640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4166*i - 349490 wrt i?\nAnswer: 4166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3404 divided by -8\nAnswer: 851\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - l**2 - l + 7. Suppose 5*g - 5*h = -10, g = -g - 5*h + 10. Suppose 0 = 2*v - v. Suppose -a + g*a = v. Give d(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 6 = -5*p, -14*b = 5*p - 19*b + 30 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*q**5 + 349*q**4 - 31*q + 110 wrt q?\nAnswer: 260*q**3 + 4188*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -5 + -2 + (7 - (-5 + 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 9471*x**2 + 11994*x**2 + 33156*x**2.\nAnswer: 35679*x**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - 2*n**3 + 2*n**3 + (-2*n + 2*n - n)*(n**3 + 2*n**3 - 4*n**3).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**4 - 2*q**3 - 2471*q**2 - 6522*q wrt q.\nAnswer: 24*q**2 - 12*q - 4942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 2:54 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1383, -1384, -1385?\nAnswer: -1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -100d1 (base 16) to base 6\nAnswer: -1224213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 21 + -11 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2108*s + 7620 = 5397 - 8317. Let z(c) = -2*c**3 + 4*c**2 - 3*c + 2. Let i be z(2). Let g be i\/6*(1 - 4). Sort g, -2, s in ascending order.\nAnswer: -2, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 2:05 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -16.05. Let h be 3\/4 + (-18)\/8. Which is the nearest to -1? (a) h (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**2 - 6*w - 6. Let b(r) = 6*r**2 - 9*r + 2*r - 4*r - 11 + 9*r**2. Let u(z) = -6*b(z) + 11*m(z). Let j(c) = -c**2. What is u(j(p))?\nAnswer: -13*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1873745 and 90871?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005243973 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 11*k**2 + 6*k - 4. Let a(b) = -10*b**2 - 5*b + 3. Let z = -421 - -448. Suppose 2*h = 2*c + 14, 29*h - 9 = c + z*h. Give c*l(u) - 6*a(u).\nAnswer: 5*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1344.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12\/(-28) - (-5)\/(140\/2448) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5*i + 899 = -0*q + 894, q + 5*i = -13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 99.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 + 56. Let i(p) = f + 1 + 125*p**3 + 2*p - p**2 - 1 - 2. Is i(1) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 5*b + 5*b. Let v(z) = -1. Let n(x) = -2*x - 4. Let u(f) = n(f) - 4*v(f). What is a(u(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*s**3 + 180*s**2 - 180*s**2 - 559*s**3 + 328*s**3.\nAnswer: 69*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 97 = 3*z, 0 = -101*x + 102*x + 2*z - 18 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91\/120 + 23\/60. Put 35, 2\/5, -5, f in descending order.\nAnswer: 35, 2\/5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5006*t**3 + 10*t**2 - 106879.\nAnswer: -15018*t**2 + 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 4. Suppose u*j = -0*j. Suppose 2*f - 18 = -3*v - f, -2*v + f = j. Solve -4*c + 10 = -9*c - 5*x, x + 6 = -v*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103563 - -5?\nAnswer: -103555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -27*m - 13. Let k(z) = 54*z + 27. Let s(j) = 5*g(j) + 3*k(j). Differentiate s(h) with respect to h.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (81 + -126)*18\/(-15). Solve 34 = 22*q - m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 26*q. Let d be t(1). Let o = d + 41. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -2. Let q = g - -1. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6775 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/1*12\/(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 4:17 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3690 and 8847144.\nAnswer: 44235720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.0921.\nAnswer: 0.02763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -0.9. Let b be -5*1 - 2\/(-1). What is the nearest to 0.85 in -0.4, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*p + 920 - 172. Calculate the remainder when 4500 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 f, and 2 z when four letters picked without replacement from fozotxhz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 119848225489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 + -3. Let f = 0.1 + 0.4. Let o = -7.1 - -7. Sort n, f, o in ascending order.\nAnswer: o, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 54596472.\nAnswer: 218385888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 920*u - 919*u - 5*t + 69 = 0, 0*u - 34*t + 454 = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/16 + 39\/8. Suppose -1 = -5*r + 4. Calculate the greatest common factor of y and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**7\/840 + b**4\/6 - 5*b**3\/3 - 4. Let f(v) be the third derivative of s(v). Differentiate f(q) with respect to q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m + 3. Let o(i) = 2*i - 4. Let q(l) = -4*c(l) - 3*o(l). Let n(b) = 8*b + 3. Calculate q(n(j)).\nAnswer: 16*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/36 and -101\/104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(0*g**4 + 2*g**4 - 4*g**4 + (5 - 5 + 2*g**4)*(2 + 2 - 2) + 143*g**4 + 322*g**4 - 50*g**4).\nAnswer: 834*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 7:55 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32391 and 1601433.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30542 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: What is 3203 (base 6) in base 13?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*n**3 + 73*n**3 + 58*n**3 - 24*n**3 - 22*n + 87*n**3.\nAnswer: 217*n**3 - 22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/33943203 and -37\/164.\nAnswer: 135772812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790 = 12*b - 694 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/7 - 4*i**2 + 30*i\/7.\nAnswer: -2*i*(i - 1)*(i + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*x + 24 + x - 10*x + (-2 + 4 - 3)*(68*x - 64*x - 54*x).\nAnswer: 48*x + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + -2 + (sqrt(13) + -3 - sqrt(13)) + sqrt(13) + sqrt(325) + 2 + 4)**2.\nAnswer: 72*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5 + 3 - (-1)\/((-4)\/(-320)) is divided by 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.605 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-9)*((-2600)\/(-65) + -37)*(-138)\/(-10)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13444 - -13448. Solve -4*c - 3*k - b = 0, -c - 3*c + 12 = -k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8\/(d\/d**(2\/9)))**(-44\/5)*(d**(1\/2))**39*d**(1\/3)*d*d**7*d assuming d is positive.\nAnswer: d**(-625\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.5549222 rounded to two dps?\nAnswer: -11.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.057283963 - -0.057195. Round o to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 4:54 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -11001?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.255981 centuries in millennia?\nAnswer: 0.0255981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58258741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17569690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1250 at least as big as -1232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94*o**2 + o**4 + 9*o**4 - 77*o**2 wrt o?\nAnswer: 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-134)\/1*32\/(3264\/(-51))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 561564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -7.6\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 4687.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**3 - 42*q**2 - 20*q - 670. What is x(-17)?\nAnswer: 2271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 + 11)*((3 + 1 - 2)*(-2 + 2 - b) - 2*b - 2*b + 8*b)*(-2*b**3 - 2*b**3 + 3*b**3).\nAnswer: -42*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1633 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 6:14 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1. Let z(g) = g - 22. Let c(i) = -3*s(i) - z(i). Let b be c(14). Suppose 3*j - 4*x - 697 = 0, -b*j + 3*x + 1179 = 5*x. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - ((-15)\/3)\/5. Let s be 23\/1 + (-1)\/(n\/15). Solve 4*d - k = s + 2, -7 = -d + k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -3\/19 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/21))**(2\/27)*i\/((i*i**(-2))\/i)*i*i**8 assuming i is positive.\nAnswer: i**(6800\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 d when two letters picked without replacement from ddddddmmdddd?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/9 (b) -1\/2 (c) 3.43 (d) -0.1 (e) 4 (f) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 9:07 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5947.369cm?\nAnswer: 59.47369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1045? (a) 10 (b) 0.5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**4\/12 - 2*j. Let t(g) = 7*g + 2. Let y(b) = 15*b + 5. Let w(l) = -5*t(l) + 2*y(l). What is f(w(d))?\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535946 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3. Let z = 9 + 12. Suppose 5*r + z = 6. Suppose 3*b = -2*a + 4, -6 = 4*b + 2. Let n(q) = -q**3. What is a*n(x) + r*c(x)?\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*u + 135 = 0. Suppose -u = -5*f + 3*l, -4*l - 6 = 2*f - l. Solve -f*x - x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -3, -59 in decreasing order.\nAnswer: 3, 2, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 0*o**2 - 5 + 4*o + 10*o - 11*o + 4*o**2. Is n(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5 + 42*g**4 + 102*g**3 + 24*g**2 - 105*g - 66 = 0. What is g?\nAnswer: -11, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 5, 1.9173, -2\/7, -264, 2?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2977\nAnswer: 2\/2977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23\/(-69) - (-7)\/3. Let g(s) be the second derivative of -s**3\/2 + 14*s - 3. Let v(m) = -13*m + 1. What is q*v(c) - 9*g(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*y - 12, -3*y = 2*y - 3*g - 9. Sort -6, 2, y.\nAnswer: -6, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*(1 + -1). Let j(k) = k + y + 0. Let f(g) be the third derivative of -g**5\/30 - 20*g**2 - 7518*g. Calculate j(f(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Let s = 22298255 - 56749062019\/2545. Let f = s + -2\/509. What is the biggest value in f, -5\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, t: 2, u: 4, s: 2, p: 5}. What is prob of picking 1 t and 1 p?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -22*x + 24*x + 6, 3*x = -9*r - 3 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s - s)*(11*s**2 - 204*s**4 + 90*s**4 + 109*s**4).\nAnswer: 10*s**5 - 22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 + 137. Suppose 5*a - m = 5*k, a - 3*k - 4 = 2*a. Suppose 69 = 5*z + 4*j, 2*z - a*j = -j + 50. What is the greatest common factor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 c when four letters picked without replacement from ggygcgyygggc.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-170)*(-1545)\/1236\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5 - 1. Let g = y - -7. Let u be -1 - (2 - -1 - g). Solve -3*w + n - 4 = 1, -u*w - 2*n + 10 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 745*t**3 - 267*t**3 - 197*t**3 - 217*t**3 - 213*t**3.\nAnswer: -149*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r = 8. Let 28*n + n**5 + 19*n**3 - 22*n**2 - 8*n**4 + 6*n**3 - 8 - 16*n**r = 0. What is n?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6030017456928 + 0.03\nAnswer: -6030017456927.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) -14\/5 (b) -337 (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31685.3 centuries in decades?\nAnswer: 316853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40983 - -204918\/5. What is the closest to 2 in x, -0.02, -5, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 525 + 825. What is the greatest common factor of r and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**3*c)\/(c**(-5\/4)\/c*c)*c**(1\/4)\/c**(-2\/7))**13)**(-1) assuming c is positive.\nAnswer: c**(-1053\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 25*d**2 - 348*d - 964. Calculate y(-34).\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-3)*(-4 + 1). Let v(h) = 16*h - 5. Let a(m) = 8*m - 2. Let r(p) = -5*a(p) + 3*v(p). What is the tens digit of r(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1084*z - 69535. Give t(64).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21567 = -13*l - 21502 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 25*j**2 - 13*j + 3. Let o be i(-13). Suppose o*r - 58 = a, -2*r + 5*a - 3 = -20. Suppose r - 21 = 4*u. Let y(p) = p + 11. Give y(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9264617743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.8 and 3305503746050.\nAnswer: 3305503746053.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6131997 is divided by 17322.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 0.4, 2\/3873259.\nAnswer: -6, -2, 2\/3873259, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 467 and 1093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 7. What are the prime factors of (42\/15)\/(h\/20)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 5837400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36004)\/(-884) + 184\/1196 + (-2)\/(-17)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 372.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aausuunaujuj. What is prob of picking 2 j?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/((b\/(b**4*b))\/b)))*b**(-2\/7))**(-9\/8)*(b**(-2))**(-2\/97)\/(b**(-2\/7))**(14\/3) assuming b is positive.\nAnswer: b**(-10295\/2037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/3745 and 163\/11482170.\nAnswer: 11482170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3782 is divided by 383.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9264 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -3 - -154) + (4 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 12, 24, 13, -3 in decreasing order.\nAnswer: 24, 13, 12, 7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3012040 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udh when three letters picked without replacement from chhhhorddour?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 173, 174, 187, 224, 297?\n\"Answer: 2*s**3 - 6*s**2 + 5*s + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18592 and 77.\nAnswer: 204512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3, -1 = -2*m + w - 0*w. Suppose -3*j + 5*f = -176 - 150, m*j - 3*f - 217 = 0. What is the remainder when j is divided by 42?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 68265628*v. Let c(m) = -3015*m. Determine 45285*c(w) + 2*p(w).\nAnswer: -3019*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let w(r) = 22*r**2 + 7*r**2 - 41*r**2. What is o(w(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -65. Suppose 0 = -q + p - 4. Let g = 22 + -11. Solve -4*r = -4*u + 16, -5*u - g + q = -4*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58114?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.49 and 0.7.\nAnswer: -0.343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 85, 84, 85, 88, 93, 100, 109?\n\"Answer: r**2 - 4*r + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 2*d - 16. Let k = -5 - d. List the prime factors of k\/3 + 75\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 25*x**2 + 414*x + 31. What is w(-16)?\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - -0.0062?\nAnswer: -29.9938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 10) to base 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 4*d - 1. Let t = 25 - 20. Suppose -2*b = -3*b - t. Let m(p) = -p**3 - 5*p**2 + p + 8. Let k be m(b). Determine q(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*m - 315 = 397*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129 + 274. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263.9121 nanometers to micrometers.\nAnswer: 0.2639121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13333 (base 5) to base 15.\nAnswer: -4cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/6 and -43\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*m - 35. Suppose -2*i - m*r + 858 = 0, 3*i - r = r + 1287. Is 66 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 10*j**2 - 9*j - 5. Calculate the remainder when b(8) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3202814 - 3?\nAnswer: -3202817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 0*q + 3*q)*(-2*q**3 + 11*q**3 - 10*q**3 + 9*q + 3).\nAnswer: 2*q**4 - 18*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207507 is divided by 5754?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000135089 rounded to 6 decimal places?\nAnswer: 0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -12*a**3 - 324*a**2 + 339*a + 115. Calculate s(-28).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -19*v**3\/3 - 18*v - 3. Find the first derivative of y(t) wrt t.\nAnswer: -38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by 235.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1237 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 6 = -7*k. Let n be (-2)\/(-6)*3*0. Let m(a) = a**3 + a**2 - 4. Let u be m(n). Sort k, u, -3 in decreasing order.\nAnswer: k, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -155 + 80 - 10*s + 10*s + 3*s**3 - 35 - 2*s - s**3 + 2*s + 3*s**3 + 0*s**3 - s**3 + (0 + 1 + 1)*(0*s**3 + 2*s**3 + 0*s**3) + 2*s**3 + 0*s**3 - 3*s**3.\nAnswer: 7*s**3 - 110","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/15054 and -35\/226?\nAnswer: 1701102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4*w = 20, -4*w - 1 = -4*o + o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + f**3 + 0*f**3)*(0 - 29 - 10)*(-1 + 0 - 1)*(-2 - 1 + 2).\nAnswer: 78*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:29 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 + 6*d. Let c be f(-4). Suppose -3*i - i + c = 0. Suppose 0 = i*x + 2*x - 68. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**5 - 39*i**4 - 130*i**2?\nAnswer: -60*i**2 - 936*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-126)\/(-56))\/(3\/304). Calculate the highest common factor of 57 and f.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6822575 and 1850?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -51, -126, -211, -294, -363, -406, -411?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -631*j + 167. Let i be n(-10). Suppose -7*z + i = 10*z. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l. Suppose 0 = 2*p + 2*p - 92. Let r(i) = p*i - 9*i - 12*i. Calculate a(r(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k. Let y(g) = g**2 + 11260*g. Calculate y(i(o)).\nAnswer: o**2 + 11260*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*l + 11*l. Let g(q) = -3*q**2 - 2*q**l + 5*q**2 - 2*q**2. Let h(w) = w - 1. What is h(g(m))?\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 157.6 and 0.1.\nAnswer: 15.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*b - 2*o - 9, 0 = 4*o. Let n = b + -16. Let l = 12 + n. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115803 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -k + 3*h - 2*h, 0 = 3*k + 3*h - 81. Find the common denominator of k and -32\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148\/105 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 289*h**5 - 6001*h**4 - 21654*h**3 - 18716*h**2 - 3544*h - 192 = 0. Calculate h.\nAnswer: -2, -1, -2\/17, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-135))\/((-8)\/120)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-10\/11)*m*m**(10\/7)*m**6*(m**(1\/13)\/m)\/m assuming m is positive.\nAnswer: m**(5602\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -130 + -177. Let o = z - -307. What is the nearest to o in 1.4, 1\/7, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-36)*l*l\/l**(-8) assuming l is positive.\nAnswer: l**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6932*910 - (-3)\/3. Suppose -4*z = -2*y - 10032478, 3*z - 3*y - 7524354 = -0*y. Suppose -2*x = -z + c. Round x to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 144\/2 + 0 - (5 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26424, 53517, 80610, 107703, 134796, 161889?\nAnswer: 188982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -4*q + 33, 2*q - q - 12 = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - 97\/3. Which is smaller: -2\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6122 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4629, 8733, 11733, 13077, 12213?\n\"Answer: -92*g**3 + 4748*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526 = 37*p - 325. Calculate the remainder when 618 is divided by p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2\/13 - 112*s\/13 + 1568\/13 = 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/7 - 2\/(-7). Suppose 3*v + 2*v - 5 = x. Let a be 12 - (2 + v + -3). Solve w + 3 = l, -2*w + 3*l + 1 - a = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -182.3 + 182.212. Let d = -8.7884 - 0.1236. Let r = g + d. Is r equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5579349 to the nearest 100000.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76347587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 times 4?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 62383 divided by 26\nAnswer: 62383\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -330 (b) 0 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -f - 4*r, 2*r - 3*r = -f + 7. Let y(c) = -c - 8. Let d(t) = -2*t - 8. Let s(q) = f*y(q) - 2*d(q). Determine s(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2409629?\nAnswer: 163, 14783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, c: 1}. What is prob of picking 1 c and 1 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 252 - 27 = -5*l, l + 2*g - 7*g - 85 = -40 for l.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - (29 + (13 - 25))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 604, 581, 542, 487, 416, 329?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -55. Let n be 2*(0 + -2) + z. Suppose -3*v - h = -n, 2*h - 4*h + 33 = 5*v. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*v + 42*v, -4*m = -2*v - 92. What is the third smallest value in 7, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 = -2*h + 3*h, -10 = 5*h. Suppose 0 = -2*a + v*r, -5*r - 4 - 32 = 4*a. What is the units digit of 255 - (a - -3) - (-8)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 24*f**2 - 27*f - 78. Let t be a(-23). Let o(u) = 41 - 41 - u. Let j be o(0). Solve -3*v = -i + t, 2*v + j*v + 5*i - 2 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + -12?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 11*a - 203. Let f be j(22). Solve -31 = -8*l - f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - j - 1. Suppose -15 - 5 = -4*z. Let t be (z\/10)\/(2\/4). Let b(k) = -k**3 + k + 1. What is t*b(u) + q(u)?\nAnswer: -u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from {t: 3, x: 2, g: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 24. Let h be ((-5)\/g)\/(1\/3). Solve 7*f - 6*f = h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2399736 = -14*d + 6557464. Round d to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 * 671\nAnswer: 16775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1697553904 rounded to 6 decimal places?\nAnswer: -0.169755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 20 = 3*k. Let r = 1.9407 + -1.8407. What is the nearest to 0.57 in k, 0.3, 4, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23716912 to the power of 1\/3, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3612 divided by -1204.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/896*-112*44\/(-7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/20)\/((-8)\/(360\/(-27)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.7691172 to 3 decimal places.\nAnswer: -115.769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/11)\/s**(-1)*(s\/(s*(s\/s**(-6))\/s))\/(s\/s**4*s))\/((s\/((s\/(s\/(s**(2\/17)*s)))\/s))\/(s\/(s**5\/s)))**22 assuming s is positive.\nAnswer: s**(-16567\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t - 329 + 373 + 15*t**3 - 2*t wrt t.\nAnswer: 45*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w + 9. Let r(n) = n - 1. Let k(l) = -g(l) - r(l). Suppose 37 - 4 = 5*f - 2*i, 3*f - 3*i - 27 = 0. What is k(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95203550 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 0*i**3 - 1\/2*i**2 - 3\/4*i**4 + 0*i - 1. Find the second derivative of k(v) wrt v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 2*o - 1. Let t be z(1). Let p(k) = -k**2 - 2*k + 6. Let n be p(4). Let c = n + 13. Put t, -1, c in ascending order.\nAnswer: c, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213301323 (base 4) in base 11?\nAnswer: -101467","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 15919733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18059, -36145, -54231?\n\"Answer: -18086*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 4*t - 5*n, n - 100 - 133 = -5*t. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42128\/13 or -3241?\nAnswer: -42128\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*u**4 - 80*u**4 + 51*u**4)*(-5 + 7 + 2)*(5 + 3 - 6 - 3 + 1 + 3 + (-2 - 1 + 1)*(0 + 2 - 3) + 6 - 2 - 2).\nAnswer: -1708*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 29 = -2*d, 23 = -3*q + 8. What is the third derivative of -3*r**6 - 62*r**2 + 87*r**d - 13*r**6 - 5*r**6 wrt r?\nAnswer: -2520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 18, -6, 4\/33, 0.2, 68, -3?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -393, -1530, -3425, -6078, -9489?\n\"Answer: -379*r**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*t + 40 = 277*t. Solve -2*x + t*x = -6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3455\/632 + -210\/79. Let p(g) = -558*g + 5. Let o be p(-6). Let c = o - 26763\/8. Find the common denominator of c and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 18. What is the greatest common factor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415763809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6840667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3133, 3, -10, -2 in increasing order.\nAnswer: -10, -2, 3, 3133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d. Let s(u) = 0*u**2 + 4*u**2 + u**2 + 5*u**2. Calculate s(f(l)).\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 789*i + 4. Give z(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 + 4.2. Let c = -7 + z. Let y = 5 + c. Sort 2, y, 0.4 in decreasing order.\nAnswer: 2, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506974408 a multiple of 2176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45065 is divided by 886.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 55*a - 64*a + 4*a + 10*a as q + o*a and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -55716 times 11?\nAnswer: -612876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1743298 = -7*o + 35298. Let m be (-14)\/10 - (-3)\/(-5). Let l be ((-3)\/6)\/(m\/o). What is l rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.33 + 0.67. Let s = -0.86 + 31.86. Let u = f - s. Which is the closest to -1\/4? (a) u (b) -0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 303642?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(13) - (sqrt(13) + 1 + sqrt(13))**2) + -5 + sqrt(117)\/sqrt(576) + sqrt(13).\nAnswer: -61 - 15*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -13*t + 15958. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106478774 + 68220886. Let m = o - -44991300215\/1176. Let t = 5\/392 - m. Calculate the common denominator of t and -29\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -643628712 rounded to the nearest one million?\nAnswer: -644000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*b + 3 = -6, 2 = 2*b. Solve -10*c - 10 = -t*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 819 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.9174034 - -0.1850704.\nAnswer: -8.732333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 33. Let d(i) = -55*i - 159*i - 9*i - 30*i - 88*i. Let r(q) = 17*q. Determine n*d(x) + 121*r(x).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -14*q. Suppose -21*t - 116 = 52. Let u(j) = -5*j. Let l(m) = t*u(m) + 3*g(m). Let d(n) = n - 1. Let w = -2 + -1. What is w*d(i) - l(i)?\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a - 51. What is c(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 17 = -3*d, -d + 0 = 2*p - 7. Suppose -p*b - r = -2*r - 24, -b = 4*r - 6. What is the least common multiple of b and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122333301 (base 4) to base 10\nAnswer: 110577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -11*w**5\/15 + 151*w**2 - 2*w. Let l(o) = -4*o**2. Let i = 8 - 5. Suppose h = -i - 0. Give h*r(k) + 32*l(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.7099196 - -7.71. Round x to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 smaller than 269011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, v: 1, g: 2, m: 1, r: 2, j: 5}. What is prob of sequence gk?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -6322?\nAnswer: 25288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Let g be 2 + (3 - 3) + z. Suppose -26 = -g*r - 1. Solve 0 = -b + r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 6. Let u be (5 - 54\/12)\/(1\/2). Sort -4, u, h in descending order.\nAnswer: h, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 0*p + p)*(p + 0*p - 3*p) + 0 - 1 - 1 - p**2 to the form g*p**2 + w*p + o and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -2*s - 3, 5*m - 5 = -7*s + 11*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyo when three letters picked without replacement from {y: 2, o: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/120480 and -169\/240960.\nAnswer: 240960","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(330)*-1 - sqrt(330))\/sqrt(11))\/(-5*(sqrt(10) - (sqrt(1000) + (sqrt(1000) - (sqrt(1000)*3 - sqrt(1000)))))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.459919 litres to millilitres.\nAnswer: 7459.919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from hihahihihhi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321*t**3 + 5497 + 5491 + 12*t**3 - 10988.\nAnswer: 333*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*a + 2298 + 962 = 226*a for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*a + 12. Suppose -3*z + 4*s + 101 = 3*s, -a*z = -s - 66. Suppose -4*c + 75 = -5*j + 2*j, -c + z = -4*j. Solve 0 + c = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34961300 to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -1210?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(153) - (-5*sqrt(153) - sqrt(153))**2).\nAnswer: -5507 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31\/77 + -1\/7. What is the closest to g in 4, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 5, -90, -2, -1.1.\nAnswer: -90, -2, -1.1, -1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45535700.7 minutes in weeks?\nAnswer: 4517.430625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: d9e (base 16) to base 11\nAnswer: 268a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26012*d**2*v**4 + 440*d**2*v**2 - d**2 - 10*v**4 + v**2 - 2 wrt v.\nAnswer: 624288*d**2*v - 240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 485 divide 15054255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + 4?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i - 40. Let v be b(4). Suppose v = -30*u + 9*u. Suppose u*t = 20*t - 4260. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 2\/15*j**6 - 1\/3*j**4 + 0 - 1\/5*j**5 + 0*j**2 + 0*j**3 + 2\/21*j**7 + 15*j. Factor k(o).\nAnswer: 4*o**2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 12:23 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1897740711?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r - 6. Let k(q) = -r - 5*q**2 + 4*q + 2*q**2 + 2*q**3 - q**3. What is the tens digit of k(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 4544461?\nAnswer: 4544461.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.070614 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 2*s + 3*s + 3 - 4*s. Let b = -9 - -6. Let z be v(b). Solve 0 = c - z*c - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -28*p - 13. Let n be y(-4). What is the highest common factor of n and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57561*w**2 - 57561*w**2 - 534*w**3.\nAnswer: -534*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743 a factor of 56887527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2833 + 2833.005208. Round l to four decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (0 - (1 + -1)). Let g = p + 6. Suppose -g*w - w + 16 = 0. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3863616 rounded to three decimal places?\nAnswer: 0.386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from pjjueyjojuojy.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 46\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -q - 2*m, -8 = -5*q - 4*m + 16. What is the lowest common multiple of q and (6 - -2) + 1*2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23259, -23211, -23139, -23043, -22923, -22779?\nAnswer: -22611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**4\/12 - u**3\/8 - u - 2. Let x(i) be the first derivative of t(i). Factor x(z).\nAnswer: z*(4*z - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237ac3 (base 13) in base 14?\nAnswer: 1801a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23735493 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7908 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 2*c**2 - 2*c + 1. Let q = 0 - -3. Let a be s(q). Suppose 4*b = -a*m + 8*m + 8, -2*m = b + 4. Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13870032 and 52958304?\nAnswer: 582541344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 19, -6\/47947?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = -0. Suppose -4*m + 1 = -19, 99 = -a*h - 3*m. Let b = 15 - h. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 f, and 1 n when four letters picked without replacement from {l: 4, n: 2, d: 1, f: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55422957.\nAnswer: 3, 3967, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 113504 (base 9) to base 7\nAnswer: 402565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 5. Let f(r) = -2*r**2 - 5*r - 9. Let x(l) be the third derivative of 0 - 13\/6*l**3 - 7\/24*l**4 - 1\/20*l**5 + 0*l + 2*l**2. Give z*f(b) - 5*x(b).\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20410532 + 84389887 = 55*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -3871\nAnswer: 387.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -0.3, 1\/3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + l = 4, 16 = v + 2*l + 2*l. Let f = 3 + -7. Is 16 a factor of 13 + v - (-7 - f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllll. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49908 is divided by 5857?\nAnswer: 3052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73\/358216 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 11*h - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 + 3 + m**2 - 5 + (0*m + 3*m - m)*(-141*m - 65*m - 40*m) in the form r + p*m + u*m**2 and give u.\nAnswer: -491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23555*t - 586374 + 1322162 = 5617*t - 1802176 for t.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(76) + -2*sqrt(76)) + 1*1*sqrt(76) + sqrt(76))*6)\/(sqrt(100) + sqrt(100) + sqrt(100)*3 + sqrt(100) + 2*sqrt(24)\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 242 + -173. Let s = b + -42. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 9:26 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61406143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57263139191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 + 6*t**2 + 79*t**2 + 2*t - 77*t**2 + 23*t**3 as p*t**2 + w*t + v + f*t**3 and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122 - 10?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1046*d - 1043*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7911 + 13742. Calculate the highest common factor of b and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 5:37 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbg when three letters picked without replacement from gzzzzbgbzbb.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-66)\/(-110))\/((-2)\/(-30))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/13392 and -145\/3348?\nAnswer: 13392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -534 (base 10) to base 5\nAnswer: -4114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 804 and 36?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 14*p**5\/3 - 158*p**4\/3 + 94*p**3 + 926*p**2\/3 + 304*p\/3 - 56 = 0.\nAnswer: -1, 2\/7, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6) - (-364)\/6. Suppose 5*v + 25 = 0, -5*s + 2*v = -v - m. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1832?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 + 9 + (-11 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gosqovqoqsoi. What is prob of sequence gois?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 35215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*b - 2*d, 2*b + d + 10 = 3*b. Suppose 9*x + 1 = 10*x. Solve 2*j + b = -3*h - x, -4*h = -3*j - 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*w - 1 + 13, 3*w - 3 = t. Suppose w*a = 4*a - 312. What is the remainder when a is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -291*c**2 - 5079*c - 2251. Give b(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - l = 4*n - 99, -4*l = 5*n - 172. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2058304?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5611, 9294, 12985, 16690, 20415?\nAnswer: 24166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11256 divided by 24.\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 65701 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5145 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*h**4 + 152*h**3 - 695*h + 776*h + 2 - 156*h**3 wrt h.\nAnswer: -120*h**2 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*l - 22 = 0, -4*a + 66 = -2*a - 3*l. Suppose -6*j + j = -a. Let s be (j\/2)\/(162\/(-12)). What is the smallest value in 0.4, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18*(-308)\/210)\/((-9)\/15)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11355930 and 612?\nAnswer: 11355318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcqiqddiid. What is prob of picking 1 q and 1 c?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 4:25 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 7:31 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3294940?\nAnswer: 2, 5, 11, 17, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - sqrt(60)\/sqrt(27))*4)\/(-5*(sqrt(4) - (sqrt(64) - sqrt(4)))*1).\nAnswer: 4*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 253 = 1285. Suppose -32 - o = -7*q. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217030 (base 8) in base 6?\nAnswer: 1323024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -530658 + -7?\nAnswer: -530666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5178 divided by 3\nAnswer: -1726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 6. Suppose -4*z = 5*w - 8*w + 24, 2*w + 4*z - 16 = 0. Give j(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16*(78\/12 - 6). Suppose -h*k = -10*k - 4, -3*w + 62 = -4*k. Solve 0 = 8*j - 10 + w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2202549072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(28))**2*6 - (0 + (-1*sqrt(28))**2).\nAnswer: 24*sqrt(7) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f - 509 + 2507 = 0. Solve 66*q = f*q - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1027, -1.86, -2.\nAnswer: -2, -1.86, 2\/1027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1307, 15, -4, 0, -2, 132 in increasing order.\nAnswer: -4, -2, 0, 15, 132, 1307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/3 - 188*x**2\/3 - 3088*x\/3 + 2304.\nAnswer: 2*(x - 108)*(x - 2)*(x + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**2\/11 - 42*a\/11 + 144\/11 = 0.\nAnswer: -24, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002028 to 7 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -11.45?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*s, -101 = -6*m + 3*m - s. Let z(j) = -7*j + 159. Let v be z(18). Let y = 44 - v. What is the greatest common divisor of y and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -766, -1536, -2306, -3076?\n\"Answer: -770*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 12:11 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**2 - 7*f**2 - 3 - 4 - f**3 - 6*f**2 + 0*f**3. Calculate c(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0078 + 326.9922. Let z = y - 326. Which is the nearest to z? (a) 0 (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from {i: 3, s: 1, t: 6, q: 4}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 19*s - 859. Determine x(18).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.002 and -4.03.\nAnswer: 0.00806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 17*y + 23. Is s(-10) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*6*(-9)\/(-24). Let s be (-12)\/(-1*(-2 - 3)) - -2. Let w = -4\/15 + s. Sort -3, w, a in ascending order.\nAnswer: a, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3330, 4949, 6248, 7227, 7886?\n\"Answer: -160*k**2 + 2099*k + 1391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 29. Let c(g) = -g**3 + 4*g**2 + 12*g + 10. Let j be c(k). Solve 3*n - 18 = f - 7, -5*n + j = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 905 = 5*n, 10*n - 11*n = -y - 179. What is the smallest common multiple of n and 390?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 136401 - 284*x**2 - 136401 + (0 + 0 + x)*(0 + 9*x + 0) + 3*x**2 - 6*x**2 + 2*x**2.\nAnswer: -276*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/52 and 79\/120688?\nAnswer: 1568944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 113, 247, 381, 515, 649, 783?\n\"Answer: 134*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 divided by -548?\nAnswer: 32\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/14 and -1 - (-21)\/30 - 3?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00060231274 plus 2556?\nAnswer: 2555.99939768726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38347*t + 282592 wrt t?\nAnswer: 38347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 - -1)\/((-3)\/2). Let b = 12 + -13. Let n be (b - (-63)\/m)*40. What is n rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 60122578, 60122576, 60122574?\n\"Answer: -2*t + 60122580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - ((-7 + 13 - -2) + 0 + -9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*x - 15, -3 = x - 0*x - 5*s. Let q be 1*x + 6\/(-3). What is the third smallest value in -0.2, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18084 divided by 411?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26646 - -3323. What is the ten thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.2 - 13. Let l = 0 - o. Let s = 0.2000036 + l. What is s rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) 2\/9 (c) 2\/5 (d) -16063\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (1 - (12 + -5) - -28) + 11.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4726013587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 37944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1951146 by -650382.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(396) + -5 + (sqrt(396) - ((-3*sqrt(396) - sqrt(396)) + -5)))**2.\nAnswer: -72*sqrt(11) + 14257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*a**2 + 4070*a**2 - 2216*a**2.\nAnswer: 1681*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 215027?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-21)\/(-9)) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*a - 5*a - 11*a**2 + 20*a - 5*a**4 wrt a?\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -422, -1752, -3966, -7064, -11046?\n\"Answer: -442*j**2 - 4*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 1133688.\nAnswer: -6802128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166.91494 + 2092.\nAnswer: 2258.91494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m + 78*m + 99*m = 44*m + 3864 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1155*d = 1153*d - 2, 0 = -3*q - 5*d + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1082925*b. Let m be h(-1). Let f = -110272 + 27347. Let u = m + f. Round u to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.029 and 10.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00159951 rounded to 6 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:45 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + -13 + 21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005191 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 2*q - 3. Let k(r) = -r**3 + r**2 - 8*r + 5. Calculate -k(p) - 5*n(p).\nAnswer: p**3 - 6*p**2 - 2*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9131.\nAnswer: 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 13 = 3*l + 5*c, 3*l + 2*c - 28 = 0. Suppose 10 = 5*d - l. Is (-59)\/(-1) + (4 - d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19470 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16913.\nAnswer: 13, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -17\/3*f**4 + 26\/3*f**3 - 17\/5*f**5 + 8\/21*f**7 + 26\/15*f**6 + 8*f**2 + 39*f + 0. Solve q(w) = 0.\nAnswer: -4, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -504106130 to the nearest 100000.\nAnswer: -504100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -48*z + 8. Let y(i) = -95*i + 17. Calculate -5*f(r) + 2*y(r).\nAnswer: 50*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*(sqrt(275) + 2 - sqrt(275))*-5*-2)**2.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*i**3 + 112*i**3 + 206*i**3 - 746*i**3 + 216*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - -28*(-11)\/(-44). Suppose 10*b + 4*o - 42 = 5*b, 0 = 3*o - 9. Solve -i*l = -b - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*f - 10. Let u(j) = -2*j**3 - 26*j**2 - 72*j - 311. Let d be u(-11). Which is the closest to -50? (a) f (b) d (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69405561*j**3 + 3609122496*j**2 + 1732852*j + 208 = 0.\nAnswer: -52, -2\/8331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 8, -10, 9 in increasing order.\nAnswer: -10, -4, 1, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 greater than or equal to 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + (-1 + sqrt(112) + sqrt(112) - sqrt(112)) - 1*sqrt(112)*-1 - (1 + sqrt(112) + 1 - (4 + sqrt(112)*-1))) + 0)*1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b + 0*b)*(-5 + 3 + 1) + 0*b + 0*b - 4*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 8) to base 6\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2917016844 * -0.1\nAnswer: 291701684.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3224)\/5642*(2*9)\/(140\/(-49)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3312 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 117 - 1854*b**2 - 58 + 1853*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*j + 44. Let s = -43708\/3 + 14569. Find the common denominator of (18\/j)\/(3\/27) and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/6)\/((301\/(-147) - -2)*-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1029, -3035, -6209, -10551?\nAnswer: -16061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 11*x**3 - 4*x**2 + x + 3. What is w(3)?\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2361, 9414, 21173, 37638?\nAnswer: 58809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9866 + 632.\nAnswer: 631.0134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (82 + 11 - 21)*(-2*t + 0*t + 4*t)*(2 + 2 - 3) + 2 - 2*t + 5*t - 2*t to the form a*t + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04602 minus 22415241?\nAnswer: -22415240.95398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2767021439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = l - 17, 2*c = -2*c + 5*l - 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2208\/20 + (-4)\/10 - 3.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d. Suppose 0 = -5*b - 4*u + 536, 9*b - 12*b + 2*u + 326 = 0. Let i(g) = 182*g - b*g - 121*g. Determine i(t(n)).\nAnswer: 141*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 647?\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4227?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 777\/5 + -6159\/35. Let h = r + 271\/21. What is the common denominator of 111\/10 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12481 + -12402. What is the remainder when 167 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9*b + 180. Let k be q(-22). Let h = k - -994. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694835 is divided by 86827?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k - 11. Let j be o(-7). What is the common denominator of (-3)\/20*(j\/(-108) - 2) and -79\/12?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*d - 9067 - 9152 + 27459 - 9127 in the form c + f*d and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 94?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124 or -87?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 312 + -262. Calculate the least common multiple of 15 and j.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366044784.\nAnswer: 2, 3, 7, 487, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 - -1197)*176\/132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(98) + -3 + sqrt(98) + sqrt(98)*-3)*2*-2*1*2)**2.\nAnswer: 10752*sqrt(2) + 27392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exooxxlxx. What is prob of sequence xe?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -3721 + 361. Suppose 2*p - 2 = 8. Suppose l = -z + p*z. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 9) + -24 + (29 + -26 - 10).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541*h - 4 - 3 + 1068*h - 526*h.\nAnswer: h - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/8*4 - 28. Let w be (s\/(-20))\/((-6)\/(-8)). Calculate the remainder when 55 is divided by -1 + 9\/6 - (-57)\/w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/9)*t*t*t)\/t*t*t*t*t*t**(1\/2))**(4\/3)*(t**0)**(-43)\/((t**(-2\/7)*t)\/t)**(-3\/7) assuming t is positive.\nAnswer: t**(13264\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1460403585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2013659*h. Let g(c) = -20*c**2. Determine g(s(k)).\nAnswer: -81096451365620*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l - 35 = 23*l. Suppose 3*w = -5*g + 96, -4*g + 65 = -w - l. Calculate the smallest common multiple of 6 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 3*q**2 + 2*q + 3. Suppose u = 5*m, -2*u - 5 = -3*m + 2. Let n be m + -3 - (-1 + -5). Let j be (-7)\/1 - (-6 + n). Determine w(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4 = 8*r. Suppose 4*p + 0 = -o + 1, 2*p = -3*o - 7. Let q be (-10)\/(r\/((-1)\/p)). What is the highest common divisor of 50 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 468 - 2337\/5. What is the closest to -3 in -0.3, -25, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -322*s**3 - 6*s**2 + 2*s. Let q(r) = -645*r**3 - 14*r**2 + 5*r. What is -2*q(b) + 5*z(b)?\nAnswer: -320*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -106 - e0?\nAnswer: -1e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 612464 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 15. Solve -3*v + l = -y - 17, 2*v = -2*l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10b3e (base 15) to base 6\nAnswer: -1050035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2546.\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -275054*f**2 - 272246*f?\nAnswer: -550108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 2. Let t(l) = 9*l + 6. Let g(d) = 11*q(d) + 4*t(d). Suppose -2*y - 2*p = -18, -p = -12 + 6. Let b(m) = -2*m - 1. Give y*g(v) + 5*b(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j - 98 = -79. Sort j, 5, 564 in descending order.\nAnswer: 564, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 73.7 and -28.\nAnswer: -2063.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5996 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -794.4 + 866. Let r = l + -70.909. Round r to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*d - 427*d + 9405 = 245*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 175.13.\nAnswer: -171.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12996, -12899, -12800, -12699?\n\"Answer: x**2 + 94*x - 13091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let t be 2 + (r - (16 + -4)). Let u(x) = -x**2 - 9*x - 9. Determine u(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-11)\/(-3) - 4)*-6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b - 2. Let k(c) = 9*c - 5. Let y(n) = n**3 - 11*n**2 + 12*n - 30. Let p be y(10). Give p*f(h) + 4*k(h).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -5*k - 0*k - 3*r, r = -2*k + 98. List the prime factors of k.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4935230.\nAnswer: 2, 5, 493523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - (-43 + -38 + 20) - (29 + (-1 - 0))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sooclws. Give prob of picking 2 s and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -301032 (base 4) to base 10\nAnswer: -3150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100 + 108. Suppose 4*k + q = -f - 3*f, -2*f + k = -11. Solve -3*v = 2*v + 5*t - 40, -f*t + 15 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.076 + 0.024. What is the closest to 0 in g, 7, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 239*g**2 - 234*g**2 + 65.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42837 is divided by 118.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhheeehehehhehhhh?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3212*x**2 + 4638*x**2 - 2446*x**2 - 17*x in the form h*x**2 + b*x + p and give h.\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 4. Suppose v = 2 - l. Suppose d = -4*q - 7, 0 = d - 4*d - q + v. What is the greatest common divisor of 3 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (320 + 106*x - 320 + 377*x + 145*x)*(-x - x - 2*x).\nAnswer: -2512*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 + y**2 - 3*y**2 + (4*y - 5*y + 3*y)*(2 + y - 2).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-24))\/((-900)\/(-480))*-117.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 1492\/7, 30, -3\/7, 1\/8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*j - 281*j = -550*j + 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - w + 15 - 5 = 0, -5*w + 26 = j. Let x be -2 - j\/(-2)*2. Let k(m) = m + 1. What is k(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32643, 65292, 97951, 130620, 163299, 195988?\n\"Answer: 5*g**2 + 32634*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 211924?\nAnswer: 635772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6047.5*7.\nAnswer: 42332.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 13?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 = 3*o. Let d be (-10)\/(o - (-3)\/(-2)). Let w(l) = 2*l**2 - 31*l + 92. Let t be w(4). Solve 5*c + d = -t*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2594*a - 698*a + 20372 = -45988 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - 3 + 3)*(3 - 53*u + 50*u - 1 + u**2) to the form l*u**2 + s + o*u + x*u**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 360769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.04 (b) 0.4 (c) 9.616 (d) -2\/5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuucccc. What is prob of sequence uuu?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**6\/360 - p**5\/60 + p**4\/2 - 5*p. Let h(j) be the third derivative of u(j). What is h(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovo. What is prob of sequence ov?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3 = 18. Suppose -4*c + 176 = -0*c + 2*h, -r*c + 131 = h. Let o = c + -25. Calculate the remainder when o is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0338 - 0.4662. What is the third smallest value in 2\/17, 49, x?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1156 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4829113 meters to centimeters.\nAnswer: 48.29113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(16)\/sqrt(4)) + 1*sqrt(24))\/(1*sqrt(432)*1).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2167447, 2167463, 2167489, 2167525?\nAnswer: 2167571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times 99?\nAnswer: 2079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 307, 537, 837, 1195, 1599, 2037?\nAnswer: 2497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2393*c**5 + 380*c**4 - 7200*c**2 + 186*c wrt c.\nAnswer: 143580*c**2 + 9120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1982799 and 5460.\nAnswer: 39655980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -32, -457?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 21*g - 24*g - 3*j, -3*j - 75 = -5*g. Let w = 45 - 23. What is the lowest common multiple of g and w?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 96\/42 - (-2)\/(-7). Suppose 0 = -p - p + 24. Let u = p - l. Calculate the remainder when 37 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 5*y + 4. Let o be a(6). Suppose 10*f + 344 = 53*f. What is the first derivative of 5*m - o*m + f*m - 10 wrt m?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 6:24 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 q when four letters picked without replacement from {g: 5, q: 13}.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 4.7. Sort -2\/5, p, 0.4 in increasing order.\nAnswer: -2\/5, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 270000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17626007\/124 - 142146. Calculate the common denominator of 8 + -10 + 1 + 219\/60 and z.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 241\nAnswer: 14.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19057628 a multiple of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 835692 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 40 + 42 = m, -8 = -4*m + 4*a. Suppose m*f + 2*x = 48, 9*x - 11*x = 4*f - 86. Solve i = -2*w - 7 + f, 4*w - i - 12 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 10:16 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4423, 4428, 4433, 4438, 4443?\n\"Answer: 5*p + 4418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.34 + 0.389. Let f = n - -0.119. Let h = 0.14 - f. Round h to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42461690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -403*o**2 - 8*o - 4. Let y(k) = -31031*k**2 - 620*k - 310. Determine -310*g(p) + 4*y(p).\nAnswer: 806*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98521 is divided by 49088?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 696420601 to the power of 1\/3, to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 273839583 to the power of 1\/2, to the nearest integer?\nAnswer: 16548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 12*m - 22. Let l be x(7). Put 0, -1, l in ascending order.\nAnswer: -1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2072545.\nAnswer: 5, 163, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -81\/25 (b) -4 (c) -9573\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-four fifths of a century?\nAnswer: 17760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 30 = v, 5*v + u + 0*u - 80 = 0. Calculate the remainder when 54 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-40)*(-140)\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3905*d + 4166*d + 0 + 5*d**2 + 0.\nAnswer: 5*d**2 + 261*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) -6\/145 (c) -1\/45 (d) -6 (e) -1\/5 (f) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-34952))\/((-968)\/8228).\nAnswer: -2\/257","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*i**4 - 3*i**3 + 3*i**5 - 8*i**4 - 3*i**5 - i**5 + 0*i**4.\nAnswer: -i**3*(i - 3)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18412 - 117412. Round v to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 6:44 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3568*l = 5532 - 2551 + 4155. Suppose 2\/5*f**l + 32*f + 640 = 0. Calculate f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 258365?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + w. Let r be n(0). What is the derivative of 5 + r - 12 + 7*y wrt y?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -15*y + 17*y - 14, 4*c = 2*y + 26 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 a when four letters picked without replacement from llaaiaaiijl.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 432749481 a multiple of 797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-255)\/(-85))\/(7\/((-14)\/(-36)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 4 + (-445)\/70)*(-24)\/30. Let h be 11\/(-10) + 4\/(-10). What is the biggest value in -1, h, b, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*g + 50 = 0, 3*w + 4*g - 150 = 3*g. Suppose 5*l - 6*l + w = 0. Is 36 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 8*p = 2. Let l be 3 - (10 + (-1)\/p). Put l, 5, -4 in increasing order.\nAnswer: l, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 469, 4221, 14397, 34207, 66861?\n\"Answer: 535*b**3 + 2*b**2 + b - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 r, and 1 f when three letters picked without replacement from rfpnr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -373879302.08+0.02098\nAnswer: -373879302.05902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6793?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17305779?\nAnswer: 3, 17, 29, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2463860*d**6 - 1660*d**2 - d - 615?\nAnswer: 295663200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70138 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 1517 + 1765. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -38*v + 7. Let l(r) = -19*r + 3. Let u(x) = 7*l(x) - 3*p(x). Let k(q) = -5*q**2. Give u(k(a)).\nAnswer: 95*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 10*j - 23*j = -432. Calculate the greatest common divisor of 4869 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*x = -74*x - 24, 4*x - 39 = -5*t. Solve 5*y - 3*w = -4 + 9, t*w = -4*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g = -84. Suppose 51 - g = i. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75171306 divided by 609.\nAnswer: 123434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 0.7, -9, 5, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-10))\/((-3)\/6). Suppose 2*x - 1 - 9 = 0. Suppose 0*s - x = -i - 2*s, 2 = i + s. Which is smaller: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**2 + 1150*s + 7070. Give r(236).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -5 (b) 625028 (c) -0.5 (d) -2\/11 (e) 3\/4 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -906, 2\/5, -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 1. Let h be c(3). Let w be (6\/(-9))\/(h\/(-3)). What is the closest to -0.1 in w, 4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729980.\nAnswer: 2, 5, 17, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36\/2*((-85)\/10 - -9) is divided by ((-4)\/10)\/(1\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 133\/31, 11.4695, 5?\nAnswer: 133\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*b**3*h + 3973161*b**3 + b**2*h - 635*b**2 - b*h + 4060*b wrt b.\nAnswer: 402*h + 23838966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*t - 90. Let z = t + -10. What is the remainder when 14 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676280 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from bbfbffzbzbczc?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k - 9*y + 14*y = -60 - 10, k + 52*y - 41 = 60*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*i + 14*i - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2682, -5316, -7954, -10602, -13266, -15952, -18666?\n\"Answer: -c**3 + 4*c**2 - 2639*c - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1675 - 1442. Calculate the least common multiple of d and 5.\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*n - 346, 4*s - 3*s + 5*n - 350 = 0. What is s rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 290.6 + -151.8. Let x = -15.2 - h. Let f = -153.9938 - x. What is f rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35330042 = -269*p + 35291306 for p.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221 and 17446?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 0*a**4 - 9\/20*a**5 + 16*a + 0*a**3 + 2*a**2 + 0. Find the first derivative of h(q) wrt q.\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -786227197, -786227196, -786227195, -786227194?\n\"Answer: t - 786227198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uos when three letters picked without replacement from {u: 1, s: 5, o: 4, y: 6}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - s**2 - s - 1. Let h be l(3). Let k be ((-1)\/4)\/(25\/h). Factor -k*b**3 + 0 + 0*b + 2\/5*b**5 + 2\/5*b**2 - 2\/5*b**4.\nAnswer: 2*b**2*(b - 1)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1333495?\nAnswer: 5, 167, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 6:46 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*y = 23 - 94, -36 = -2*c + 2*y. Suppose 3*s - 4 = c. Find the first derivative of -14*r + 21*r - s*r - 2*r**3 - 7 wrt r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvvvvtvvvvvvvvttvvt. What is prob of sequence vvv?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 6.4, -5, -0.2, 1 in decreasing order.\nAnswer: 6.4, 4\/3, 1, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2 - 16872*y - 757215 = 0.\nAnswer: -16827, -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s + 0*s + 2*s - 3*s. Let q(h) = 4*h**2 + 13*h + 13. Let i(l) = l + 36 - 2*l - 2*l**2 - 5*l - 42. Let r(f) = -13*i(f) - 6*q(f). Determine k(r(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 42. Let b be 30\/4*144\/30. Let k = b - -12. What is the highest common factor of k and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205 and 778711565?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 3*k**2 + 4*k + 2. Let i be l(-2). Let y be 2\/(-4) - i\/4. Suppose -4*p + 8 = -y*p. Solve -8 = -p*q - 2*g, 1 = -g - 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**4\/11 - 50*l**3\/11 + 94*l**2\/11 - 46*l\/11 = 0. What is l?\nAnswer: 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153588 and 630?\nAnswer: 16126740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + 2*s**2 + 30*s**2 + 26*s**4 - 8*s**3 + 2 - 30*s**2 to the form t*s**3 + j + w*s**4 + n*s + p*s**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 7 + 22 = 0. Suppose -w = 3*m + 5, -2*w - m - 2 = -z*m. Let y(h) = 2*h**2 + 3*h. Determine y(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52720 divided by 58\nAnswer: 26360\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x - 6 = 0. Let i be 4\/(-4)*(-2610)\/x. Round i to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -997 + 1594. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16678431 and 2079?\nAnswer: 50035293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42501973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 1448*b**2 - 18985*b - 107. Determine o(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*((0 + 2*sqrt(13))*-6)**2.\nAnswer: -18720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (5 + -2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 4*v + 454 - 6, -5*s + 4*v = -472. Suppose 5*r - 862 = -s. Suppose 3 = 3*a, t + 4*a = 3*t - r. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16304 + -16303.99954684. What is w rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**2*r**3 - 8*a**2*r**2 - 280*a**2 + 780*a*r**3 + 28*a wrt a?\nAnswer: -6*r**3 - 16*r**2 - 560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -10*t + 11*t - 15, n = 2*t. Put -1, n, 2\/11 in ascending order.\nAnswer: -1, 2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let q(g) = -g**3 + g**2. Let o(h) = 4*h**3 - 9*h**2 + h + 1. Let l(c) = b*o(c) + 3*q(c). What are the prime factors of l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 4*d**2 - 4*d - 1. Suppose -b + 4 - 1 = 0. Let p be ((-15)\/9)\/((-1)\/b). Suppose 3*y = 4*y + p. Calculate g(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 21*l = 19*l - 8, 0 = -l - 2. Solve 2*u - u = -j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**(-7)*p)\/p)*p)\/((p\/p**(-4))\/p))**12*((p**(-6\/5)\/p)\/p)\/p**(-2)*p**(-1)\/((p*p*p\/p**(-2))\/p) assuming p is positive.\nAnswer: p**(269\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1082, -1052, -1008, -944, -854, -732?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 56 = -g. Let c be (12\/(-2))\/(-2*1). Suppose h - g = -c*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/3 + 5\/15. Suppose -4*a + 3 = -4*l + 11, -4*a - 4 = -b*l. Solve -2\/3 + 8\/3*y - a*y**2 = 0 for y.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0334 - -0.9666. What is the closest to -2 in -1, v, 2.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 118, 264, 470, 736, 1062, 1448?\nAnswer: 1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkkkkkjk. What is prob of picking 1 j and 2 k?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 16*f**2 + 14*f - 25. Let v be l(-17). Suppose 3*d - v = -23. Put 4\/3, 5\/4, d, 0.05 in increasing order.\nAnswer: 0.05, d, 5\/4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/40)\/(-14)*20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2. Let z(f) = -10*f**2 - 257*f + 133*f + 124*f. Give z(v(r)).\nAnswer: -40*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10\/7 - -58\/21. Which is the nearest to y? (a) 2\/9 (b) -5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(1\/2))**(-5\/4)*(j*j*j**(1\/5)*j*j)**11 assuming j is positive.\nAnswer: j**(1723\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*o - 8. Let p = -14 + 17. Suppose -5*s - 35 = 5*n, n - 5*s + 10 = -p*n. Put n, 0, o in ascending order.\nAnswer: n, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 1*12\/(-3). Solve 17 = 2*j + 2*l + 7, -3*j = -u*l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.496312 millennia to months.\nAnswer: 65955.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.68 - -97158720178.\nAnswer: 97158720178.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {d: 4, t: 1, r: 2, i: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -4*f**3 - 5*f + 69. Let l(v) = 2*v**2. What is l(j(x))?\nAnswer: 1152*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 5:05 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*a + 86*a = -20*a + 4063 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 - 112 - (10 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*s + 61 = -0*c, 3*s - 42 = -c. Let y = 39 - c. Let p = 47 - 13. Calculate the remainder when p is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1969 + -686. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -47. Let m(g) = -g**2 + 5*g. Let u be m(5). Suppose -w = -p - u. Solve -2*b + p*x - 4 = 0, -5*b - 4*x + 21 = -11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:53 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1314*a**4 + 3*a**3 - 9*a**2 + a**3 - 2*a**3 - 681*a**4 - 695*a**4 + 2 to the form t*a + f*a**4 + h*a**3 + k + n*a**2 and give f.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104\/3 - 34. Put r, -1\/16, 0.1 in ascending order.\nAnswer: -1\/16, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 g when three letters picked without replacement from sgggggsggggs.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*p - 3 = 43, -59 = -2*c - p. Suppose -c = -7*i + 53. Solve -4*l + i - 32 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 10. What is the remainder when 50 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2. Let r(v) be the first derivative of -185*v**4\/12 + 87*v + 182. Let m(u) be the first derivative of r(u). What is m(q(p))?\nAnswer: -185*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 220 (b) 0.5 (c) 80988\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/4*(-56)\/21. Let t = -94.1 + 111. Let n = 17 - t. Put n, -3, u in decreasing order.\nAnswer: n, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 7. Suppose -5*g + 416 = 146. Suppose 51*v = g*v - 3. Solve 5*x - l + v = n*x, -3*x = l - 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 6. Let g be -1*v\/3 - -3. Suppose -5*o - g*l + 36 = 0, o = 5*l + 7 - 23. What is the lowest common multiple of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18513743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -520 or -566?\nAnswer: -520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15*-2.13249.\nAnswer: 0.3198735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -43 - 149) + 60\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 227*z - 4292. What is s(247)?\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-96411)\/(-630) + 2\/(-60). What is the greatest common factor of 9996 and x?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*t - 60, -2*z + 7 + 45 = -2*t. Let j be 2 + 2\/((-16)\/z). Is j at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 913 = -4*p, -2*n = -3*n + 3*p + 287. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 4*k + 9, -4*d - 1797 + 1795 = 2*k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x\/(x*x\/(x*x**17*x))*x)\/x)\/x*x*x)\/(x\/x**(-7\/5)))**(-2) assuming x is positive.\nAnswer: x**(-176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*m + 63 = 0, m + 2 = 2*z + 21. Calculate the common denominator of -133\/24 and (-276)\/(-432) - 9\/z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 11*o + 13. Let m(g) = -13*g - 84. Let y be m(-7). Suppose 3*q + 90 = -y*q. Give k(q).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + 1)\/(7\/(-1470))?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 572026*a*f**2 + 65*a*f + 188*a + 3*f wrt f?\nAnswer: 1144052*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6*g + 3*y = -342, -5*y + 318 = 3*g. Suppose -105*b = -g*b + 300. What is the greatest common divisor of b and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - q = 4*a - 2, 3*a + 5*q - 6 = 0. Let t(p) = -p**2 + 2*p**a + p**2. Let u(g) = 4*g. Determine t(u(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 294\/56*-3*4\/9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -952*o**2 - 213*o**2 - 1230*o - 38*o**2 + 1232*o.\nAnswer: -1203*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 2*d - 5. Calculate the smallest common multiple of c(-3) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzqzzqzqpqqqqq. Give prob of picking 4 q.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12219629 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 444792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 1. Let u(t) = -t**3 + 11*t**2 + 6*t. Let s(i) = -6*a(i) - u(i). What is the units digit of s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -43 + -31?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2552.394 nanometers to millimeters.\nAnswer: 0.002552394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/252*-39 + (-18)\/(-8) + -2?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 2*n**2 - 2*n - 1. Let z be i(-2). Solve -z*f - j = 3, 0 = -3*f - 3*j + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/6 and -33\/58.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/30 - ((-30)\/(-36))\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -755747\/3 or -251915?\nAnswer: -755747\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -2*sqrt(11) + 2)*-3 + (sqrt(110)*1*6)\/sqrt(10))**2.\nAnswer: -108*sqrt(11) + 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/130)\/((-2)\/(5\/(-5))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 18. Let s be -1*1*(4 - 6). Solve -5*m - s = 4*n, a*m - 10 = -2*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + 46*m + 33. Let z be k(-19). Let f = z - 239. Solve -f*o = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2830, 2828, 2826, 2824?\n\"Answer: -2*i + 2832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.06, -1\/8, 0.37, 23, 16?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - m**3 - 22 + 2*m**2 + 3*m + 0*m as j*m**3 + d*m**2 + b*m + z and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(63)*2 - sqrt(70)\/(sqrt(10) - (2*sqrt(160) + sqrt(10) + sqrt(10))).\nAnswer: -323*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*w*x + 2*d**2*w**3 - 8*d**2*w**2*x - 2*d*w**3*x - d*w**2 + 2*d*w*x wrt d?\nAnswer: -12*d*w*x + 4*w**3 - 16*w**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-42)\/63)\/((-4)\/(-30)). Is p > -7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37111236 is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -5 - (28 + -17)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2, -2, 8.815?\nAnswer: 8.815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*y - 176*y - 22 = 2*g, -4*y = -2*g - 58 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by ((-96)\/9 + 6)\/((-4)\/6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, 3, 3.7.\nAnswer: -16, -2, 3, 3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 = -11*j - 220 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 19*n + 1. Let u be y(2). Let q = -7 + u. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*m**3 + 264*m**3 - 830*m**3 + 276*m**3.\nAnswer: -19*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from fmfzxuuxuumrxz.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 274767438 + -274767474.00000135. Let w = g - -36. What is w rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/15)\/(6 + 4\/6). Which is the third biggest value? (a) 6 (b) x (c) 2\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/99)\/(12*(-8)\/(-1056)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 8*b.\nAnswer: 4*b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*s - 3*s - 24 = 0, 3*a + 5*s - 56 = 0. Solve -a = -2*k - 4*d, 3*k - d - 14 = -3*d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717034 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 - -80. Suppose -3*d + 39 = 2*v, w*d - 2*v - 2 = 64. Find the second derivative of 48*s**5 - d*s**5 - 22*s**5 + 7*s - 17*s**5 wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -6\/5, -4.37?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -248 divided by 3\nAnswer: -248\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 269075617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*u = -0*q + 10, 4*q + 18 = -3*u. Let c be (8 - -1) + q\/3. Let o(n) = -2*n**2 + n + 3. Let h(p) = -5*p**2 + 3*p + 7. Give c*o(a) - 3*h(a).\nAnswer: a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/9 - 24754*y**2\/9 + 74275*y\/9 + 99028\/9 = 0. Calculate y.\nAnswer: -24757, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 58*b - 186*b + 2 as u*b + o and give u.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**2 - b**2 + 0*b**2)*(0*b + 2*b - b) + 53*b**3 + 123 - 123 + 2*b**3 - 4*b**3 + b**3 as w*b + l*b**2 + o + x*b**3 and give x.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-143)\/(-39) + 6\/(-9). Let u(k) = -k**2 + 4*k - 3. Let i be u(4). Sort i, l, -5 in decreasing order.\nAnswer: l, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 at most as big as -278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.44 + 4.119. What is s rounded to two dps?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 6*a - 5. Let t be u(7). Let s be t\/6 + (-8)\/(-12). Let w = s + 10. Calculate the remainder when 42 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2293 + 6414. What are the prime factors of p?\nAnswer: 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 887 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 8:20 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 35 = -4*f, 2*f + 16 = -5*c + 17. Let r be (-122)\/(-5) - (-2)\/(-5). Calculate the greatest common divisor of f and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2060 - 1934. Calculate the highest common divisor of c and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6028.776 micrograms in kilograms?\nAnswer: 0.000006028776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26602 plus -0.0730554?\nAnswer: -26602.0730554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 15*r. Let w(j) = 70460506*j. Give c(w(u)).\nAnswer: 1056907590*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75439 - 2112517\/28. Let q = h - -51\/7. Suppose 0 = 71*z - 99*z + 28. Which is the biggest value? (a) q (b) z (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 3:48 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/204 + -14 + (-2366)\/(-168).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 - -100. What is the remainder when 22 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5168006713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -105, 0.5, -2\/633, 3\/4?\nAnswer: -2\/633","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3638*p - 3629*p - 35)*(p + p - 5*p) as i*p + v + o*p**2 and give i.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Let a be (0 + 1\/b)*-10. Let j(n) = -n**2 - 5*n + 4. Give j(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*20\/(-16)*280\/210*(-45)\/6?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + 3*(2 - 3). Suppose g*w = 4*w + 1, 4*f + 3*w - 743 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 5*u. Let g be o(5). Solve f + 5*k = 22, -3*k = -g*k - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c - 1 + c + 3 + 5*c**2 + c**3. Let k be f(-6). Solve -b + k = -0*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62621158?\nAnswer: 2, 43, 491, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 316653853?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3\/11 - 592872*q**2\/11 + 592858*q\/11 + 3557220\/11 = 0 for q.\nAnswer: -2, 3, 296435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 2, 0, -84 in decreasing order.\nAnswer: 3, 2, 0, -2, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1736884.7 to the nearest 10000.\nAnswer: -1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(4 - (-60)\/(-16)). Let h(o) = 0*o**3 - 2*o**3 - 1 - 3*o**2 + o**3 - 2. What is the remainder when 38 is divided by h(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*p - 573 - 216, -5*k = 5*p - 805. List the prime factors of p.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 - -84. Let b be d*-1*8\/4. Is 4\/(-6)*(b - 892\/8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -184 + 2244?\nAnswer: 2050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6462022 and 263756?\nAnswer: 12924044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.02, 3, -1.8, 0.21 in ascending order.\nAnswer: -1.8, -0.3, -0.02, 0.21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1268, -35, 3, 1, 2, -4.\nAnswer: -35, -4, 1, 2, 3, 1268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n**3 - 15*n**2 + 2*n + 11. Let a(l) = -4*l**3 + 7*l**2 - l - 5. Let u(g) = 7*a(g) + 3*i(g). What is the units digit of u(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3071 + 3066 - ((2 + -5 - -6) + -62).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 = 5*n - 21, 4*x = -4*n - 16. Let b be (825\/(-5))\/(-5) - -4. Let d be (-16)\/56 + b\/7. Sort 1, x, d in ascending order.\nAnswer: x, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.07, 0.42 in descending order.\nAnswer: 0.42, 0, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.6344 + -0.9407. Let c = 0.0037 - l. Let t = c - 0.21. Round t to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-4) + (-5470)\/(-40) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3 = -2*m, -49 + 38 = -l - m for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 984, 985, 986, 987?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w**24))**(-1) assuming w is positive.\nAnswer: w**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183308955 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23148\/103 + -1100798\/927. Is f at least as big as -1411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + 11. Let g = 281 - z. Let a = 253.0314 - g. Round a to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 = -5*f, 2*b + 0*f = 3*f + 21. Suppose b*t - 90 = t. What is the remainder when 53 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 18*k**2 + k. Let i be c(1). Suppose 5*m = 74 - i. Let v = -8 + m. Solve 4*r = -v*o + 4, -2*r - 5*o = r + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*s - 5. Let r(o) = -o + 5 - s. Let y(v) = 7*v. Calculate r(y(g)).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/3, -2\/11, 1.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 - -0.05. Let x = -15472 - -15471.94. Which is the second biggest value? (a) x (b) s (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 2*z**2 - 4*z. Let c be ((-24)\/96)\/((-1)\/28). Suppose -c*v = v - 176. Calculate the least common multiple of f(4) and v.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8593*h + 42968. Give c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tctttttcqctctt. What is prob of picking 2 c?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - 62*f + 98. Calculate l(16).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*b - 2*w, b + 0*b = 3*w - 13. Let q be (7\/b - 4)*-4. Solve q*l = 4*k - 30, k + 5 = l - 3*l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312352 a multiple of 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79*d*w - 40*d*y - 4*d - 2*w*y + 3*w + 2*y with respect to w.\nAnswer: -79*d - 2*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5107.5213013002 - -5.\nAnswer: 5112.5213013002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 783325159 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 319 + -334. What is the common denominator of ((-111)\/(-4))\/(33\/2) and (-9)\/m - (-405)\/3450?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67938 - 67953. Let u = 127\/75 + -9\/25. Which is the second smallest value? (a) -2\/7 (b) w (c) u (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14333, -28756, -43171, -57578, -71977, -86368, -100751?\nAnswer: -115126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**2 - 2*d - 5. Suppose -12 = -0*u - 4*u. Let t be s(u). Put t, -15, 3 in decreasing order.\nAnswer: t, 3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, k: 11}. Give prob of picking 3 k.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -1)*1 + -4 - -20. Suppose d = 5*v + v. Solve 8*z - 10 = v*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19975 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*f - 23 = 0, -l + 4 = -0*l - 3*f. Calculate the lowest common multiple of (6 - (6 + -2))*(-2)\/(-2) and 0*(4 - 3) - l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.039, -0.02, -1\/2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -2\/21 (c) -1795\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1720 divide 4417023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89 - 183 - 208 + (3 - 1 + 0)*(4 - 3 + 0) + 4 - 4 + 1 - 1 + 1 + 2 + 1 - 1 + 1)*(0*c + c + 0*c).\nAnswer: -296*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 5*h**2 + 5*h + 6. Let i be u(-4). Suppose 2*o - 4 = 0, 0 = -5*k + i*k - 4*o + 107. Suppose -f = -182 + k. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/343, 3, 66?\nAnswer: 2\/343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 125 = 28. Let y = 15 - t. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 107.8.\nAnswer: 1401.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.66 - -14.66. Let g be 4\/26*(-1 + 0). What is the nearest to d in g, 3, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4819*l**2 + 2*l + 4820*l**2 + 61 - l + (0*l**2 - 2*l**2 + 0*l**2)*(-5 + 0 - 2).\nAnswer: 15*l**2 + l + 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 23 = 13. Sort -0.2, -2, o in increasing order.\nAnswer: o, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2530073 divided by -1.\nAnswer: 2530073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f - 1 - 3*f + 26*f**3 - 2*f**2 + f**3. Let c be 2 + 1\/1 - (11 + -9). What are the prime factors of d(c)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697183?\nAnswer: 197, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {v: 2, p: 1, n: 2, h: 3, i: 2, b: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1220, -2427, -3634, -4841, -6048, -7255?\nAnswer: -8462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 7*u**2 + 9*u - 4. Let t be q(8). Suppose -t*g + 3*g = -6. Suppose f = g*f. Solve f = 2*p + 2*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 245058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -4*u - 412. Let o = u - -136. Solve -2*b - o*b = g + 19, g + b + 7 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 4:15 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0*s + 0*s - 114*s**2 + 62*s**2 as a + j*s + h*s**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 42 = -9*l. Let y be (4\/l)\/(10\/(-45)). Let p = 0.28 + -0.08. Which is the second biggest value? (a) p (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 + -70. Which is the nearest to 2? (a) 3 (b) u (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 - 2*n**2 - 2*n + 6. Does 6 divide u(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or -157198?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - k**2 - 48*k + 6012. Give d(0).\nAnswer: 6012","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2*y = -11, 3*r - 7*r + 8 = 4*y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/5 - 356\/(-20). Calculate the greatest common divisor of 18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-980)*(-74382)\/19481\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4014113559 to the nearest integer?\nAnswer: 1589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1282629 is divided by 209.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17, 7, -5, -19, -35?\n\"Answer: -l**2 - 7*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13300.0016798 + 13300. What is u rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**4 - 2913499*l**3 - 11653969*l**2 + 32048439*l - 17480970 = 0.\nAnswer: -2913495, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011000010101010100011010 + 0?\nAnswer: 10011000010101010100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*2\/(-12))\/(-4*2\/288).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17\/3 - 16\/9. Find the common denominator of n and 113\/114.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 - (8 + -2 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003651139 rounded to seven dps?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/9, 2\/85, 1\/2, -0.1, 2\/2845?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 799050 and 75.\nAnswer: 799050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*n + 10. Suppose -5*r - 5*o = -5, 0 = 5*r - r + 3*o - n. Let u = -0.06 - -0.26. What is the nearest to u in r, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(-45*d - 580 + 580) to the form c*d + j and give c.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 233, 234, 235, 236, 237?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(465\/12) + ((-4)\/3 - -2)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/6 - (-2)\/(-4). Suppose -4 = t*l - 4*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19638456 a multiple of 906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 - a + 2*a**2 - 5*a)*(-1 + 1 + a**2 + 0*a**2 + 0*a**2 - 2*a**2 + (-3 + 3 + 2*a)*(243*a - 4112 + 4112)).\nAnswer: -485*a**4 - 2910*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -786680*y**2 + 585175*y**2 - 1149491*y**2.\nAnswer: -1350996*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-4)\/(-44))\/(166\/(-1826)*(-33)\/3).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - l - 2433946 - 2305126.\nAnswer: 2*l - 4739072","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {u: 1, i: 1, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75051?\nAnswer: 3, 31, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 4*r - 5. Let u be l(-5). Suppose 5*o = 5*x - 330, -2*o - o + 12 = u. Let t = -47 + x. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 2, 103, 5, -305 in increasing order.\nAnswer: -305, -21, 2, 5, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 6:00 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-678)\/(-180) - (5\/50 + 0))*3. Calculate the highest common divisor of 7084 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*g + 91*g + 387 = -86*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*q**2 - q + 24*q**2 - 196*q**2 + 9)*(0 + 0 + 4*q**2).\nAnswer: -408*q**4 - 4*q**3 + 36*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3459859 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 6050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*21\/(-6)*-42. Suppose -4*x + 2*x = q. What is the tens digit of 756\/x*(-7 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t. Let l(q) = -7*q + 4. Let r(w) = -l(w) + 6*p(w). Let v be r(6). Solve f + 1 + v = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3669 + -3762. Let t(s) = 6*s**2 - 3*s + 4. Let f be t(4). Let d = f + z. What is the closest to 0.04 in 1, d, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 6. Let c be t(4). Let q = 228 + -223. Suppose -2*d - 27 = 4*a - 39, a + q*d + 15 = 0. Solve -4 - 6 = c*m - a*x, -5*m + x = 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 1175*w = -1174*w, 4*b - 5*w = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78*32.\nAnswer: -2496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**4\/4 + 8*b**3\/3 + b**2\/2 + 3*b - 164. Let j be 10*-1 - (-3 + 1). Let a be m(j). Sort a, -2, -1 in descending order.\nAnswer: -1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**2 - 180 + 9*x + 1\/4*x**4 - 8\/3*x**3. Give n(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(39)\/sqrt(3))**2 + (-1*sqrt(1300))**2 + ((sqrt(1664) - (3*sqrt(1664) - sqrt(1664))) + sqrt(26))\/sqrt(2).\nAnswer: -7*sqrt(13) + 1274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2505205, -2505209, -2505215, -2505223?\nAnswer: -2505233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 7*j - 2. Suppose -3*m = 3*t + 6, 2*t + 2 = -5*m + 4. Calculate h(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2566 is divided by 323.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 217177 - 4?\nAnswer: 217173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4461 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32642 + -32641.9999664128. Round v to 7 decimal places.\nAnswer: 0.0000336","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/(p**(-25)\/p)))\/(p**(-9)\/p))\/(p**(-13))**(-44) assuming p is positive.\nAnswer: p**(-587)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*d)*(-d**2 + d**2 - d**2) + (2*d**2 + 0 + 0)*(0 + 4*d + 0).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -2654\/1643 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u = -71 - 73. Suppose u + 2 = n. Solve 0 = -0*c + 2*c - n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -9118.\nAnswer: -6\/4559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 15\/(-2))*-4. Suppose 3*y = 4*r + 3, 312*r - 3*y + 3 = 310*r. Put -4, r, q, -2 in increasing order.\nAnswer: q, -4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 - 9*h**2 - 4*h. Let x(r) = 5*r**3 - 19*r**2 - 8*r. Calculate -7*i(b) + 3*x(b).\nAnswer: b**3 + 6*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4935.89759 + -0.10241. Let a = c + 4936.6826. Let p = a - 0.69. Round p to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(3213\/(-18)) + 6\/(-14).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 82. Suppose -4*z = z + n - 33, o*z = -4*n + 36. What is the greatest common divisor of 10 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-3)\/6)*-12. Let w be 12\/g - (-6 - -1). Let m = w - -18. What is m rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 32 = 5*b. Let k(j) = j**2 + 7*j - 8. Let h be k(b). Is h bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70052911 to the nearest one million.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 n when three letters picked without replacement from nocconanwwwancac?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 190180 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 9*r - 6. Let h be t(-10). Let p(v) = 3*v**3 + 3*v**2 + v. Let q be p(-2). List the prime factors of h\/q + (-74)\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**3\/2 + 15*t**2\/2 + 14*t. Let i be r(6). What is the third biggest value in -0.5, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27e462 (base 16) to base 7\nAnswer: 31136033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-50)\/(-12)*90\/(-300). Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4)*(-9*(-13)\/(-351) + 1). Which is bigger: c or -38\/1013?\nAnswer: -38\/1013","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*56.\nAnswer: -2128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/153)\/(1287\/11583).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - n**4 - 26*n + 28*n + 2 + 42*n**2 + 14*n**2 as q*n**3 + x + v*n + r*n**4 + s*n**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.041101134 + 0.0411. What is b rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y + 23. Suppose 0 = 6*c + 2*c + 56. Let r be d(c). Solve -2*v**2 + 2\/3*v**3 - 2\/3 + r*v = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 528*f**4 + 485*f**4 - 952*f**4 - f**3 - 2 wrt f.\nAnswer: 244*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 17*a - 57. Determine p(-5).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r*r\/r**(1\/3)*r)\/r)\/r*r)\/r*r*r*r\/r**(-4\/5))**(22\/7) assuming r is positive.\nAnswer: r**(1804\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56361541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (64 - 61) + (-7)\/3. Let x(i) be the first derivative of -3 + 6*i + 0*i**2 - n*i**3. What is the derivative of x(u) wrt u?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - (37 - 72) - (-9 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - n**2 - 3*n - 3. Let b be l(3). Suppose -b - 6 = -3*s. Let z be 6\/24 + (-63)\/(-4). Solve s*p + 25 = 5*h, 3*p + 9 = 5*h - z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/15, -2\/7, 49, -1, -360.\nAnswer: -360, -1, -2\/7, -2\/15, 0.5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 18 = 5*l. Let h be 271\/l - 4\/24. Let p be 178\/9 - (-10)\/h. Solve 6*d = 2*d + s, 5*s = p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 + 2*o**2 - 2*o + 1. Let h be a(1). Let f(p) = h*p + 0*p**2 + 3*p + p**3 - 4*p + 4 - 4*p**2. What is f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-219)\/(-558 - -120) - 0\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 0*a**2 - 3\/10*a**5 + 1\/2*a**3 + 21\/16*a**4 - 7\/8*a**6 + 4 + 0*a. Determine n, given that k(n) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -146 - -258. Let p = q - 111.999834. What is p rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4190898?\nAnswer: 2, 3, 698483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*p**2 + 12*p**2 + 6*p**2 - 1 + p + 11*p**2 to the form b + k*p**2 + i*p and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4295, 4293, 4293, 4295, 4299, 4305?\n\"Answer: x**2 - 5*x + 4299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/90*(-59 - -47)*-7?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002684641 rounded to five decimal places?\nAnswer: -0.00268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*p + 6 = 0, -193*v - 3*p - 2 = -194*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1 - ((-110)\/30 - (-25 + (-7264)\/(-264))).\nAnswer: 46\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2803, 2, 196 in decreasing order.\nAnswer: 196, 2, -2803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -44. Let k = r - -16. Let y(b) = 11*b - 4 + b**2 + k*b - 7*b. Calculate y(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at most as big as -13127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2447 + 2387 = 0. Solve 4*j + 384 = 2*i + 390, -5*i - 2*j - a = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 a when four letters picked without replacement from utuwabwbauuwuut.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*r + r - 219 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1043431 (base 5) to base 7\nAnswer: -105163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p = -30. Suppose -15*d + 70 = -p*d. Let b = d - 9. Put 3\/4, -2\/15, b in descending order.\nAnswer: b, 3\/4, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2)*-5 - (2971 - 17). Let v = -2057 - o. List the prime factors of v.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -9*m + 4*m + 3*b, 4*b = -4*m - 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**0*(m*m\/(m**3*m))\/(m*m*((m*m**24\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17813093 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70255, -69994, -69541, -68896, -68059?\nAnswer: -67030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + -5 + sqrt(204)\/(sqrt(48)\/sqrt(4)) - (-4 + -3*sqrt(17) + 2)**2) + 2 + 2)*2.\nAnswer: -316 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 8 - 32)*(69*f**4 - 69*f**4 - 19*f**5).\nAnswer: 551*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m = 13*m - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19 * -5\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 50875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**3\/3 - 4*h**2 - 6*h - 4. What is the tens digit of r(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6510000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13489 = 140*i - 6911 - 320. Solve 7 = -149*y + i*y - s, -5*y = 4*s + 30 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -413, -628, -859, -1112, -1393, -1708, -2063?\nAnswer: -2464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nppnpppppnnnn. Give prob of sequence ppp.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -1\/8 (c) 311\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/32*(-20)\/(-475)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -29. Let s(p) = -15*p**3 - 3*p**2 - 9*p + 19. Let f(i) = 7*i**3 + i**2 + 4*i - 9. Let q(d) = -13*f(d) - 6*s(d). Is q(v) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 112. Let x be b(0). Let j be 9\/3 + -1*29. Let a = -12 - j. Calculate the highest common divisor of x and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7191.\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 884809 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -136*c**3 + 4*c - 3. Let h(b) = -271*b**3 + 10*b - 7. Give 2*h(l) - 5*w(l).\nAnswer: 138*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 30*b - 61. Let z be x(-15). Suppose z = 5*j - 101. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/((-12)\/4) - 0. Solve 0 = -2*h + 2*a - 8 - 2, n*a - 24 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2598 or 371380\/143?\nAnswer: 371380\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 1. Let a(f) be the second derivative of 3*f**4 + 17*f**2 - 215*f. Calculate 6*a(t) - 204*q(t).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 2*d**2 - 2*d - 4. Let r be m(-3). Let l = 11 + r. Suppose 26 = l*t - 2*t. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -331, -756, -1353, -2122, -3063, -4176?\nAnswer: -5461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12597.14nm to millimeters.\nAnswer: 0.01259714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 3 - (-4 - 3). Solve 2*w = 3*n + f, 4*n + 6 + 1 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 388125025 and 5925.\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4012, -13, 0.5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -338 - -337. Suppose -4*u - 2*v - 11 = -v, 2*u = v - 1. Sort u, 4, n in descending order.\nAnswer: 4, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 1 + 35*z + 14 - 8 as p*z + a and give p.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c - 57. Let v be a(29). Does 6 divide (-2 - -3) + (v - (-2 - 129))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n = -6377 + 5503 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*l**3 + 111*l**2 - 963*l wrt l?\nAnswer: -72*l + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1093?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 12. Let o = -264 + 260. Let t(w) = -w - 3. Let v(r) = o*t(r) - s(r). Let f(g) = 2 + 34*g - 2. Calculate f(v(q)).\nAnswer: 68*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -8. Suppose 112 = 5*b + 4*x, u*b - 5*x + 2*x = 54. Let p(k) = k**3 + 1. Let m(z) = -10 + 23*z**3 - 30*z**3 + 2. Determine b*p(f) + 3*m(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3, -5*n + 5*k + 380 = -10520. Let p = n - 19601\/9. Calculate the common denominator of p and 23\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -15511238.\nAnswer: -31022476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71002882*d + 255382337 wrt d?\nAnswer: 71002882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.528273 nanograms to milligrams.\nAnswer: 0.000000528273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1729)\/(-35)*(-320)\/(-416)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.7 + 14. Let g = -7.7 - -9. Let q = 1.1 - g. What is the biggest value in 2\/7, m, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*h**3 - 3854*h**2 - 15*h + 1287*h**2 + 1280*h**2 + 1286*h**2 - 20*h**3 as l*h**3 + s*h**2 + k*h + q and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-7 + (1 - -2 - (10 - 14))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Let b(j) = j**2 - 9*j - 88. Let u be b(-6). Suppose 5*x = v + 158, -u*v + f*v = -4*x + 130. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmmebfbebemmmm. Give prob of sequence mfem.\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) -3 (b) -1\/4 (c) -0.3 (d) -265638\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 468, 2, 0.3, -2\/3, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*((-18)\/(-15) + 3). Suppose -3*m + t = -0*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -10 + 9*i + 1\/2*i**2. Let g be n(-6). Solve 0 = 2*b - g*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 718331 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -186 + 270. What is the remainder when m is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*g**6 + 1641003*g**5*l**2 + g**2 + g*l**2 - 148*l + 48513 wrt g?\nAnswer: 3840*g**3 + 98460180*g**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001100000 + -110?\nAnswer: -10001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/w**(-14))*w**(-16)*(w\/w**(-21))**(-12) assuming w is positive.\nAnswer: w**(-294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 142\/333 - -2\/111. Which is the third smallest value? (a) -0.2 (b) j (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6 + 931*i**3 + 859*i**2 wrt i.\nAnswer: -240*i**3 + 5586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*(sqrt(700) - 2*sqrt(700) - sqrt(700)) + sqrt(700)*-1 + 5 + -4*(sqrt(700) - (-3*sqrt(700) + 1)))**2.\nAnswer: -3780*sqrt(7) + 103143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1923 plus 0.2?\nAnswer: 0.3923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/((42\/1323)\/(130\/(-117))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1080862*g. Let k(i) = i**2. Determine k(p(f)).\nAnswer: 1168262663044*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 640.7088 nanometers to millimeters.\nAnswer: 0.0006407088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1948*m + 0 + 0 - 2591*m + 651*m)*(-2 + 1 - 3).\nAnswer: 15552*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11123133121 (base 4) to base 2.\nAnswer: -101011011011111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wagmvaw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1368987271 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 13*z + 6. Let p be v(-11). Is p less than or equal to -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 2*w. Let c = 10 - 15. Let g be (-3)\/(-1) - (-5)\/c. Let x be m(g). Solve -7 = -x*t + 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/45 - 4\/10. Suppose -2*k - 1 = -3*v, 0 = 9*v + 3*k + 2*k + 19. Let f be (4\/6)\/(2\/3). Which is the nearest to f? (a) p (b) 3\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -62*w + 12. List the prime factors of o(-3).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 = 0, 0 = 2*y - 7*y + 4*b + 119. Suppose -2*x - 12 = -0*x. What is the remainder when 2\/x - 136\/(-3) is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528 = 358*j - 424*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 9743248.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 12*i**2 - 739*i - 309. Give y(34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1175? (a) 0.03 (b) -5 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5415 and 3800.\nAnswer: 216600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 6*g - 1. What is n(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 13*m - 25. Let i be 6\/(-3) - (-40)\/5. Is x(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 (base 10) in base 4?\nAnswer: -2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12196901 a multiple of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 112 - 3?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 - 0.24. Is -0.05 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-1)\/36*5*(-5)\/(-100).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 922, 3951, 9098, 16363, 25746?\n\"Answer: 1059*s**2 - 148*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 14*z. Let d(h) be the third derivative of 0*h + 0*h**3 + 0*h**4 + 12*h**2 - 1\/60*h**5 + 0. Give i(d(w)).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gewgecgwwgeg. Give prob of picking 2 g and 2 w.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (2 + -6 + 13 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 - 5*g**4 - 14*g**3 + 36*g**2 + 72*g.\nAnswer: g*(g - 6)*(g - 3)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18183478\/3 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 105\/12 + 3\/12. Calculate the highest common divisor of m and 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 3 (b) 4 (c) 1\/16 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5811.\nAnswer: 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 3:07 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*s - 404, -3*s = -3*v + 305 - 77. What is the remainder when v is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 2 + 1 + (-8 - -6). Let -2\/9*t**3 + 0*t**4 + i + 0*t**2 + 0*t + 2\/9*t**5 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7102 - 7101.89. Put 0.06, -5\/2, u in decreasing order.\nAnswer: u, 0.06, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-9 + 8)*0. Solve x = 10*t - 4*t + 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.948 + 0.038. Let v = u + 0.909556. Round v to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61190, 480565, 1618862, 3835541, 7490062, 12941885, 20550470, 30675277?\nAnswer: 43675766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*b - 819*b = 112625 for b.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15\/131 + -11045\/786. Let i(o) = o**3 - 6*o**2 - 4. Let u be i(6). Calculate the common denominator of 155\/(-15)*(-6)\/u and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-23)\/l*l*l**(-16)*(l**(-2\/59)\/l)**(-6\/17))**(-2\/27) assuming l is positive.\nAnswer: l**(25834\/9027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3298 + -3297. Let x(u) = -8*u - 17. Let w(k) = -k - 1. Calculate a*x(t) - 6*w(t).\nAnswer: -2*t - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8595799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -558907.7 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**3 - x**2 - 4. Let f(v) = 6*v**3 - v**2 - 4. Let l(y) = 7*c(y) - 6*f(y). Let u be l(0). What are the prime factors of (-10)\/u*(-18)\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 16*b + 6*b = -53 - 51, 2*b + 1 + 9 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**5\/7 + 67092*x**4\/7 + 2*x**3\/7 - 67092*x**2\/7 = 0.\nAnswer: -1, 0, 1, 33546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2372 - -3083. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 286*q - 6329 + 2325 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 5*w**2 + 2*w + 12. Calculate u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 23*a - 13*a + a**3 + 6*a**2 - 7*a + 5. What is p(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.55810528 rounded to one decimal place?\nAnswer: 20.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*s + 90 = 0, -1823*j + s - 895 = -1883*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12166 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36459948.\nAnswer: 2, 3, 7, 37, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*f - 3*c = -94*f - 24, -16*f + 4*c = 92. Put -4, -2, -1137, 4, f in increasing order.\nAnswer: -1137, f, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -42. Calculate the remainder when f is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-3) + -2 - 617\/(-9). Let p = -68 + r. Which is the third biggest value? (a) 3 (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4506 times 484?\nAnswer: 2180904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0 - (-3 - (-9 - -6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, n: 4}. Give prob of picking 3 n.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*w = 3*o - 40 + 51, -w = 98*o + 197 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide (82 - -2)*(13 + 19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 6604.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810248 is divided by 175?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*i - i + 4, 5*q - 2*i = -20. Calculate the lowest common multiple of 4 and (-2 + 3\/2)*q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w**2 - 30*w + 65. Determine a(3).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7*w = 16. Solve w*i + 20 = 2*r, -r + 3*r + 15 = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-k + 0 + 0 + (-3 + 2*k + 3)*(5 - 4 - 2) + 24*k - 40*k + 66*k).\nAnswer: 47*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + (-52)\/8)*-54. Suppose -3*l - 17 = -2*k, 0 = -10*k + 6*k - l + a. Solve 0 = 2*o + 3*o + 15, 0 = -2*m + o + k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(180) - (sqrt(180) + 1)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/10299555 and -71\/945?\nAnswer: 10299555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 29. Suppose 5*j = 2*h + 155, 4*j = y*h + 153 - 29. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104696 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 12*z + 8. Let u(h) = -2*h**2 - 24*h + 15. Let a(d) = -7*t(d) + 3*u(d). List the prime factors of a(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 3, 2, 10036, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 6*q**2 - 7*q + 4. Let i = -1718 - -1725. Determine u(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2433 and -2433 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-340)\/51)\/((-35)\/36834).\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1503 + -1831?\nAnswer: -3434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-16))\/((49\/7)\/(-14)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a - 5233a?\nAnswer: -52320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 49*y**3 + 7*y**2 + 6. Let g(c) = -97*c**3 - 15*c**2 - 13. Determine 6*g(r) + 13*v(r).\nAnswer: 55*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -90 + 2. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-107772)\/(-840) - 9\/30 is divided by 62\/5 + (-4)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**4*z - 64*w**4 + 3*w**3*z + 12*w**2*z - 9*w**2 - 2*w*z wrt w?\nAnswer: -24*w*z - 1536*w + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5470176?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*n - 76 = 96*n + 64 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/8)\/((-45)\/(-720)). Suppose s - 2*s = 3, 0 = 5*w + 5*s + 65. Let x be 1 + q\/(w\/(-2)). Which is the closest to x? (a) -0.4 (b) 5\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 4:28 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 + d - 3*d + d. Let a be b(-1). Suppose 5*p + i + 0*i = 14, 0 = -a*i - 5. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 4*w - 39. Suppose 25*h = w*h - 23. Let z(b) = 8*b**3 + b**2 + b - 1. Let o be z(2). Calculate the greatest common factor of o and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-65)\/5 - -11\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 1, z: 1, r: 1, j: 1, h: 1}. What is prob of sequence hr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*q + 129*q - 416 = 0. Is 5 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f. Let w = -13 - -3. Let q be 1613\/9 - w\/(-45). Let x(b) = q*b + 9*b**2 - 179*b. Calculate x(y(h)).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 - 2*n**2 - 5*n + 2. Is b(3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -9063.\nAnswer: 1\/3021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 1, w: 4, g: 9}. What is prob of picking 4 g?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -12*i + 240. Let w = 4 - 1. Suppose l = -w*l + i. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 9:11 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0709 or 1\/3?\nAnswer: -0.0709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 3*f - 17776 = -17832, -5*f - 93 = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021163 to 6 dps.\nAnswer: -0.000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 - 226004.\nAnswer: -226003.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 3*k - 3*t - 61, 2*t + 32 = -2*k. Let r = 25 + k. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 59*s**3 - 2*s**2 + s + 2. Let p = -76 + 131. Let l be 48\/(-22) - (-10)\/p. Let u be v(l). What is u rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 2. Let t(m) = -m**2 - 3. Let q(y) = 3*o(y) - 2*t(y). Let w = 9 + -2. Let a(c) = -w*c + 4*c + 8*c. Determine a(q(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74)\/(-111) + ((-15)\/(-45))\/((-1)\/(-31)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4 - 191914*s**3 - 9208705369*s**2 - 92072660640*s - 230169657600 = 0?\nAnswer: -95952, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 198219 a multiple of 413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5343 and 794973?\nAnswer: 1415846913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11301220133 - -10?\nAnswer: -11301220123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2272 + 2271.996. What is the second biggest value in -0.5, 0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**3 - 5*y**2 + 3*y = 0.\nAnswer: -3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-16)\/(-63)) + 2\/8. Suppose h = -s + 12. Let x be 3\/(-6) - (-5)\/s. Are x and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*z + 3*s = -126*z - 4, 3*s = -3*z - 24. What is the third biggest value in z, -0.3, -3, -26?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20525 divided by -3\nAnswer: 20525\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.5427ng in milligrams?\nAnswer: 0.0000315427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5\/398, 0.4 in increasing order.\nAnswer: -0.3, -5\/398, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.69 + 8.5. Let t = x - -0.51. Let r = t - 0.02. What is the nearest to 0 in -3, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5006333*v**5 + 6795198*v**2 wrt v.\nAnswer: -300379980*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39993.6 - -39994. Let o = -0.3 - -0.3. Which is the fourth smallest value? (a) f (b) -3 (c) o (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 21*d**5\/5 + 40*d - 4. Find the first derivative of c(b) wrt b.\nAnswer: 84*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2\/5, 0.4, 7\/2 in descending order.\nAnswer: 7\/2, 0.4, -2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2. Let v be (-48)\/(-10)*(-30)\/(-12). Let o(g) = 11*g + 8*g + v*g + 9*g. Give o(w(y)).\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 12 = i. Let g(r) = 3*r**2 - 37*r + 104. Let f be g(4). Solve w = f*w - i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgkgkkkgkkggggkkkkk. Give prob of sequence ggg.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 + m**2 - 2*m + 3. Let n(g) = 1941*g**3 - g**2 - 434*g - 3. Let u(p) = n(p) + r(p). What is the second derivative of u(q) wrt q?\nAnswer: 11634*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (140\/42)\/(4\/(-6) + 0). List the prime factors of 120 - (y - (-6)\/6).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**5\/20 - l**4\/6 + 5*l**3\/6 - 4*l**2 + 49*l - 23. Determine i(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p = 113*p - 194964. What is the remainder when p is divided by 114?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q = 29. Calculate the remainder when q is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4)**(-38)*b**(-3)\/(b\/b**(-7)) assuming b is positive.\nAnswer: b**(-163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42071?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 120 = -9*s + 4*n, 5*n + 88 = 3*s. Find the third derivative of -s*g**5 + g**2 - 5*g**2 - g - g - 4*g**5 wrt g.\nAnswer: -2100*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, t: 3, u: 4}. Give prob of picking 1 u and 1 t.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -19. Suppose 6 = -5*p + 31. Solve -2*c - m = -5*c, p*c - 28 = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**7*y\/y**(-1)*y)**8)**(-37) assuming y is positive.\nAnswer: y**(-3256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3026825*h*r**2 + 5707*h*r + 34 wrt r.\nAnswer: 6053650*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -5, 3, -2.\nAnswer: -5, -2, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 10:30 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 100*p - 9. Let w(x) = -52*x + 4. Give -3*h(d) - 5*w(d).\nAnswer: -40*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b - 53*b = 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*p - 103 - 277 = 0, -3*p + 6 = 0. Let c = 97 + q. Solve -5*h + 15 = 0, -3*g - 3*h + 5 = -c*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.1 - 6. Put t, -4, 3\/5, -3 in increasing order.\nAnswer: -4, -3, t, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-4 - 2 - (-92 - -78)) + -60)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493072?\nAnswer: 2, 30817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.13.\nAnswer: -0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*(7 + -6 + -3)\/(0 - 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/1079 equal to 7\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssshsssssp. Give prob of sequence ssp.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130685494 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22121002 (base 3) to base 14.\nAnswer: 23d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20328 - -39787. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712697 a multiple of 1337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 65458 a multiple of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -643\/6 - -647\/6. Put 0.4, h, -273, -1\/3 in decreasing order.\nAnswer: h, 0.4, -1\/3, -273","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2093, 73, 4, -1 in ascending order.\nAnswer: -1, 4, 73, 2093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 720.\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 23, 1, -5, -53, 4 in ascending order.\nAnswer: -53, -5, 0, 1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 6*i + 3*i. Solve i = 3*o + u + 14, -2*u - u - 12 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 409, 3287, 11107, 26341, 51461, 88939, 141247?\n\"Answer: 412*t**3 - t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 50593?\nAnswer: 50591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 445 - -3?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300662.678 rounded to the nearest one thousand?\nAnswer: -1301000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/238593440 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 0.1, 9\/5, 2\/9, 3\/20, 4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -88, -666, -2116, -4834, -9216, -15658?\n\"Answer: -66*n**3 - 40*n**2 + 4*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 10*m - 5856. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/21 - -101\/420. Let l(h) be the first derivative of m*h**5 - 3\/2*h**2 - 3\/8*h**4 + 1 + h + 13\/12*h**3. Factor l(v).\nAnswer: (v - 2)**2*(v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 29534772380*j - 29534772380*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23076983741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*k - 31*k**4 + 15*k + 27*k**4 + 7*k wrt k?\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -3, 5, -70 in decreasing order.\nAnswer: 5, 2, -1, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 10770?\nAnswer: 32310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23\/973? (a) -2\/5 (b) -2 (c) -5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1587729?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 30?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -258091961 - -258091938.0000037. Let v = 1.6 + 21.4. Let g = v + c. What is g rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 501*p - 515. What are the prime factors of k(22)?\nAnswer: 7, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24738 - 24738.0000028542. What is x rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/90*3)\/((-1722)\/(-24)).\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 + -2 + 2736\/224 + (-7)\/1 and -31\/4000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -304 - -309. Let m(v) = 3*v**2 - 6*v + 5. Let i(b) = 9*b**2 - 18*b + 16. Let t(a) = 3*i(a) - 8*m(a). Is 8 a factor of t(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.7 and -5.\nAnswer: 8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/4 + -3)*(-40)\/(-15). Suppose 47 + k = g. Suppose -f + 5*y + g = 0, -f = 4*f + 5*y - 165. What is the remainder when 142 is divided by f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12846 - 9921 + 12823 = 508*k for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + -14 + -5 + 3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-98)\/(-7))\/(-196)*-4\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + s - 1. Let x(c) = 35 + 27 + 3*c - 130 + 8*c**2 + 33 + 30. What is 6*w(i) - x(i)?\nAnswer: -2*i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - p + 2*p)*(-1 + 2 - 2) + (3 - 1 + 6)*(-4*p + 9*p + 0*p) + p + p - p + (0*p - p - p)*(1 + 0 + 1) - p + 5*p - 5*p.\nAnswer: 35*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 252 + -252.289. Let h = b + -0.011. Is h at least as big as -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (104 - 61) + -48 + 55\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -37.5. Let r = b + 3.55. Let v = 0 + 0.2. Sort r, v, 5.\nAnswer: r, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -47. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3*p + 20 - 15)*(-p - 3*p + 3*p).\nAnswer: -3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64967*c**6 - 241*c**2 + 5*c + 2 wrt c.\nAnswer: 7796040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.066, 0, 7\/3, 3, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, u: 3, d: 3, j: 5, n: 8}. What is prob of picking 1 x and 2 u?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {a: 3, p: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77676067 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(5)*-3 + -2 + (sqrt(5) + sqrt(5) + -1)*5.\nAnswer: -9 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/14178208 and 155\/6204.\nAnswer: 42534624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 323977173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-346)\/(-8))\/((-2)\/16). Let n = -104 - f. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*t**6 + 2*t**4 + 8*t**3 - 8*t**2 - 161*t?\nAnswer: -3000*t**3 + 48*t + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -73392660*o**2 + 226501236?\nAnswer: -146785320*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 977917 = 3*z - 5*w, 31*z = 33*z - 3*w - 651946. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 + -88.61. Let s = g + -0.39157. What is s rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -660*l**2 - 5*l**3 - 672*l**2 - 663*l**2 - 2*l**3 + 1995*l**2.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/(((-4)\/14)\/((-1556)\/(-57183))).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6) - (520\/39 - 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a millennium in centuries?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 34. Let w be k(-16). Calculate the greatest common factor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6815114 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -55?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((4 - -5) + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*u + 55*u + 36*u - 80*u in the form r + k*u and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 215038452929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11765.33 + 11766. Put 3, -22, q in descending order.\nAnswer: 3, q, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 4. Suppose -3*q = 4*t - 1, 0 = -0*t + t + q - 1. Let w be j(t). Suppose w*f - f = 1. Let k(r) = -r + 1. Calculate k(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 + 2*a - 2. Suppose -5*b - 17 = -122. Let l(w) = b*w**2 - 9 + 9*w - 3*w**2 - 5*w**2. Calculate -9*k(y) + 2*l(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*m + 477*m - 2 + 2 + 685*m to q + y*m and give y.\nAnswer: 1023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4155.99997347 - 4156. What is d rounded to six dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*v + 883 - 396 + 877 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (101\/(-404))\/((-1)\/32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18424, -36849, -55274, -73699?\n\"Answer: -18425*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*l + 2 + 5 = 0, 4*d + 2*l = -28. Let j(w) = w + 1. What is j(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 8*p - 5*o = -1, 5*p - 45 = 3*o. Solve -p*y + 11 - 35 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32 - 72312215?\nAnswer: -72312247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50268?\nAnswer: 2, 3, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 971*s + 972. Calculate t(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2636 - 0.7364. What is the third smallest value in 12.6, r, -0.3?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**2 + u**2 + 0*u**2)*(-2 + 4 + 0)*(-1 + 2 - 2)*(-64*u - 221*u - 61*u) to h*u**2 + s*u**3 + m*u + c and give s.\nAnswer: -692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -156084 = -156084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7226515 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -21*t - 3. Let c(k) = -k + 2. Let q be c(4). Is a(q) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j + 6*j + 0*j + (0 - 2 + 0)*(-9*j - 45*j - 25 + 18).\nAnswer: 110*j + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -403, 0, 1, 0.4 in descending order.\nAnswer: 1, 0.4, 0, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 3. Suppose -112 = -2*u - 2*g, 3*g + 4 = 2*g. Suppose 5*l - u = l. Solve a*z - l = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20759935 - 10199935. What is u rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42 - 118 + 40 + 36 + 225*j + 372*j**3 wrt j?\nAnswer: 2232*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1079*y**2 + 2*y - 15. Let a be h(-4). Let i be a\/45 + (-4)\/30. Let m = i + -242. List the prime factors of m.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 723233293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*z - 15*z - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 57 = -4*y. Suppose -4*s + 2*s = -5*j + 13, 3*s + j = -45. Calculate the remainder when s\/(-35) + (-368)\/(-5) is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 7. Suppose -5*s - n = w + 2, -s + 28 = 5*w. Calculate the remainder when 17 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*w**4 + 2*w**2 + 51*w**4 + 2232 - 265 in the form j*w**2 + m*w + x*w**4 + q + s*w**3 and give q.\nAnswer: 1967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/29, -0.5, 1\/5?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*s**2 + 12*s**2 - 37*s + 17*s**2 - 56*s**2 + 9*s**2 to h*s + y + k*s**2 and give h.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*w + 21*w + 26*w - 77*w)*(5 - 3*w - 5) as m*w**2 + k + d*w and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/18*(-24441)\/8. Let c = o - 2075\/3. Calculate the common denominator of c and -51\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 68.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w**2 + 22*w + 3. Let d(t) = 11*t**2 + 33*t + 4. Let p(o) = -5*d(o) + 8*r(o). Let x be (-407)\/33 - 1\/(-3). Does 8 divide p(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/17)\/5)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + 9 + -14 - (-54878 + -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/87 (b) -0.47 (c) 37 (d) -5 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = -13*m + 2862. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 27 (b) 1\/17 (c) 3\/10 (d) 0.4 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5525184*s**4 + 148*s**2 + 3*s + 14501.\nAnswer: 132604416*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*r - 2*r. Let u = 9 - r. Let f(c) = c**3 - 8*c**2 + 6*c + 2. Determine f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -303602415*z**3 - 384301721*z?\nAnswer: -1821614490*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6661130, 13322261, 19983392, 26644523?\n\"Answer: 6661131*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 26. Let p = m + -20. Let n be ((-10)\/(-5))\/((-2)\/(-4)). What is the nearest to -2\/3 in n, p, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s - 8*s + 23*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 7*l**2 - 8*l + 2. Let o be h(8). Suppose 4*y = -3*r + 83, 3*r = -3*y + o + 64. Is -1 + y + -6 + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 311389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470*j - 2*j**3 - 419 - 43 + 470*j.\nAnswer: -2*j**3 - 462","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.499093 rounded to two dps?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -101424 (base 6) to base 5\nAnswer: -230102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75614, 151150, 226686, 302222, 377758, 453294?\nAnswer: 528830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 41. Suppose -2*f = f + w, -4*i = f - 58. Calculate the highest common factor of i and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552*l - 12 = 546*l. Solve 0 = -a - o - 4*o - 19, a - 2 = l*o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (0 - -1))*(18 - 19). Let s be (-10)\/((i - 144\/(-76)) + -5). What is the greatest common divisor of s and 380?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 3*g**2 - 15*g**2 + 28*g**2.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 22*p**2 - 46*p - 32. Calculate the remainder when m(24) is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0 + 5. Let g be 12\/(-60) + 32\/110. Let s be (-2)\/7*-1 - 0. What is the nearest to v in g, s, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, b: 1, l: 1, q: 7, k: 3}. Give prob of sequence lkh.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3))**(-2\/17)*x\/x**(-1\/27)*x*x**14 assuming x is positive.\nAnswer: x**(7523\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 a, and 1 u when four letters picked without replacement from uazfaaaaafaaauafauu.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 2 = -0*q - 3*u, -3*u + 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 117150 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12171584 minus 0?\nAnswer: 0.12171584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 5*p)*(-13*p - 8*p**4 + 13*p) - 2*p**5 - 3*p**5 + 7*p**5.\nAnswer: 42*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**2 - 1\/12*a**4 + 0 + 10*a - 1\/30*a**6 - 3\/20*a**5 + 1\/2*a**3. Find h, given that c(h) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4, -2, 2\/9, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/98192 and 37\/1558798.\nAnswer: 12470384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 956249, 956254, 956259, 956264, 956269, 956274?\n\"Answer: 5*r + 956244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 11:56 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3))**21)**3 assuming o is positive.\nAnswer: o**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 557 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*x - 135*x - 131*x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 199118197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 6*g + 6. Let u be t(7). Is -2\/9 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 163542380 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 1:37 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -45, -24, 36, 0, -1 in descending order.\nAnswer: 36, 2, 0, -1, -4, -24, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Let q be (((-95)\/30)\/19)\/((-5)\/(-4)). What is the biggest value in q, f, 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-27)*-3*-3 - 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10134655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 531602*t - 1. Let y(v) = -17*v. What is c(y(b))?\nAnswer: -9037234*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 43 = -77. Let t = 27 - q. Solve -2 + 1 = 5*a + 4*f, f + 2 = -t*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 - 4*z**2 + 2*z**2)*(15*z**2 - 2*z**2 - 5*z**2 + (-3 + 0 + 1)*(-2*z**2 + z**2 + 0*z**2) - 5*z**2 + z**2 + z**2).\nAnswer: 28*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5488 and 504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10521 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, i: 2, j: 6, x: 2}. What is prob of picking 2 s?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 20 = 5*f + 8*a, -a = 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -321a (base 14) in base 7?\nAnswer: -34133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 6*v + 4. Let s be 21\/84 + 50\/(-8). Let f be l(s). Suppose 0 = f*q + 580 - 4088. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -9. Suppose -154*m = -152*m - 24. Solve -a + 4*a - m = i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**3 - x**2. Let l be y(1). Solve 15 + 5 = -l*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-726)\/(-38) - -14*72\/9576?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 184*f + 0 + 27 + 8 - 210*f + 11. Calculate b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/32 of a millisecond?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 1)\/(-1*(-8)\/(-300)). Suppose -3*l + p = 2*l. Solve 4*k - 5 = l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(171) - (-2*sqrt(171) + sqrt(171))*2) + (sqrt(171) + 2*sqrt(171) + sqrt(171))*-1))\/(sqrt(108)\/sqrt(3) + sqrt(90)\/(sqrt(40)\/sqrt(4))) + 3.\nAnswer: -sqrt(19)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 70, 139?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/16)\/(2\/(-4)) - -4. What is the highest common factor of 33 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 111*h - 1870. Let l be w(17). Solve 15 = -3*a, 5*v - 4*a - l = -7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.058 + 138.158\nAnswer: 138.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17091.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635.6506km to nanometers.\nAnswer: 635650600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -559*m**2 - 2. Let d(z) = 4*z + 34539. What is d(b(p))?\nAnswer: -2236*p**2 + 34531","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69\/11 in -55, 0.4, 20?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248 and 53568?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2100 + -502134?\nAnswer: -500034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**4\/4 - 2*w**3 - 4*w**2 - 6*w + 106. Calculate g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 - -46 - (-239 - -172)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 3*m - 2. Let l be v(6). Suppose 0 = 3*k + k + l. Let s(z) = z**3 + 5*z**2 + 2*z - 3. Give s(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -95013300\nAnswer: -1\/95013300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n**4 + 3*n**3 - 12*n**4 + 4*n**3)*(0 + 4 - 1).\nAnswer: -6*n**4 + 21*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1265053330 and 2545.\nAnswer: 2545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3072) - sqrt(3072)) + 5*sqrt(768) - (5*(5 + 1 + sqrt(108) + 3))**2.\nAnswer: -4725 - 2588*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66614992?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = -18*y + 87. Suppose 2*i + 4*a = 20, 7*a = y*i + 3*a - 20. Let z = -3 + 4. Calculate the smallest common multiple of i and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 24. Let l = -19 + 26. Suppose l*q - 1 = 34. Solve -r = -4*f - o - 10, 0 = q*r + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o - 11*o**3 + 3*o + (-o + 5 - 5)*(2 + 0 - 4)*(2*o - 2*o - o**2).\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 8*j**2 - 8*j + 3. Let m be v(-7). Let c = m + -7. Do c and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.383364873418 - -0.14?\nAnswer: 12.523364873418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2899, -2581, -2279, -1993, -1723, -1469?\n\"Answer: -8*q**2 + 342*q - 3233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38357\/6980 + -54\/349. What is the common denominator of k and (-4)\/6 + 476\/264?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 11*q + 5. Solve -q = -5*d + 2*m, -3*m + 5 = -10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -118, 0.5, 0.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(3) + -1 + 4*1*sqrt(72) + ((sqrt(12)*-3)\/sqrt(3))\/(sqrt(96)\/sqrt(12)))**2.\nAnswer: -53*sqrt(2) + 2811\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 273\/(-21)*(6\/(-52))\/(6\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8359491 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Let h be (-20)\/130 - 146\/(-104). What is the nearest to v in h, -4, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -56 (c) -0.5 (d) 1\/4 (e) 5897\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 77 - 27 + 2*k - 34. Give c(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/750 and -51\/535.\nAnswer: 80250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 0)*(16 + -15)*1. Which is the third biggest value? (a) 0 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c + 0*c)*(-1 - 2*c + 1) + 47*c**2 - 27*c**2 - 44*c**2.\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-64)\/(-6) + -11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*i - 30*i - 1357 = 243 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 463075511 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-10)*(-44)\/(-33).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135656238 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-336)\/9 + 2)\/(384\/792 - (-6)\/33)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 25 - 25 - 20*i**3 + i - i**2. Calculate a(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - (33 + 30) - (13 + 1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-2))\/4)\/((10\/2)\/15)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - (218 - 66)) + 37?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4047, -8133, -12247, -16401, -20607, -24877, -29223, -33657?\n\"Answer: -2*n**3 - 2*n**2 - 4066*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 - 391\/6. Suppose -2*i + 10 = -m, 2*m = -0*m - 5*i + 25. Let r be 1 + -1 - (2 - m). Which is the nearest to 0.3? (a) f (b) -5\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppmpspessmmpcscp. What is prob of sequence ssc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 2. Let b(w) = 85*w - 91. Let a(o) = b(o) - 3*u(o). Is a(21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 26, 1\/12, 0, 1\/297?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 1, 18071, -2 in ascending order.\nAnswer: -4, -2, 1, 2, 18071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138.5 + -138. Which is the closest to 2.3? (a) -2\/9 (b) 4\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20511942180 and -24.\nAnswer: 20511942156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16, 38, 68, 106, 152?\n\"Answer: 4*q**2 + 10*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.41061 litres in millilitres?\nAnswer: 47410.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i. Let b(z) = 2*z - 2. Let y be b(-2). Let k be m(y). Suppose k*t = t + 85. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3 + 7. Let u(k) = -k**2 + 2*k - 3. Let r be u(w). Which is the nearest to -1\/2? (a) r (b) 1 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-d - d + 0*d)*(21 + 1 + 20).\nAnswer: -168*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*a + 1622, 0 = 5*i - 4*a + 2182 - 6213. Calculate the greatest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 = y - 2, -m = 4*y - 9. Suppose -y*a = a - 42. Calculate the remainder when ((-3)\/(-6))\/(41\/1558) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 14 - 62 = 0. Solve -1 - n = 5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65482 is divided by 2109?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k**3 - 5013*k**2 + 2621913*k - 14267880 = 0. What is k?\nAnswer: -1201, 11\/2, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1848*s**2 + 4*s**3 + 3648*s**2 - 1817*s**2 + s**3.\nAnswer: 5*s**3 - 17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1519 and 1116.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(500) + 1 + -2 - -2*sqrt(500)*1) + -1*(sqrt(500) - (-1 + sqrt(500) + 5))))**2.\nAnswer: 180*sqrt(5) + 4509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c4 + -86?\nAnswer: -17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -5)\/(0 - -1). Let n = t + -1. Suppose n*v - 9 - 13 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -0.32, -3, -1\/3, -10 in descending order.\nAnswer: -0.32, -1\/3, -3, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 4*q + 2*m, 50*q + 59*m = 55*m - 638 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w + 4. Let p be (-5 + 6)\/((-1)\/35). Let y = p - -60. Let o = -22 + y. Calculate h(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-9) + 52\/234. Solve 4*l - 1 = -2*s + 5, -5*s + 4*l + 29 = k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 48*z. Let t(d) = -d**3 + 15*d**2 - 15*d + 16. Let f be t(14). Let p(j) = 15*j**2 - 14*j**2 + j**f. Determine p(y(v)).\nAnswer: 4608*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/12770249?\nAnswer: -2\/12770249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + v - 4 = 3*v, 0 = -2*d - 3*v - 6. Let q(y) = -2*y**2 + d*y**2 + y**2. Let m(w) be the second derivative of -w**4\/3 - 61*w. What is q(m(l))?\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - ((-2*sqrt(156) + sqrt(156))*-2 - sqrt(156) - sqrt(156)))*-1)\/((sqrt(2352)*-2 + sqrt(2352))\/sqrt(4)).\nAnswer: sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + q - 4*c + 2446, -c + 4071 = 5*q. Suppose 4*u - q + 806 = 0. Solve -2*i + 3*i - 4*n - 16 = 0, 0 = u*i - 5*n - 23 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 8 (b) -1\/6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 34.911. Let r = 0.311 - g. What is the second biggest value in 1\/3, -2\/27, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28313 times -1.61\nAnswer: -45583.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-11)\/13 - 20\/130)*-3. Let m(a) = -2*a**2 + b*a**2 + 2*a**2 + a**2. Let z(x) = x**2. Calculate -3*m(c) + 8*z(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*o - 1137 = -278, 2*k - 574 = -4*o. Let w = k + -88. Let v = -45 + w. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 27*v + 21. Let b = -31 - -20. List the prime factors of i(b).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/1627 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -28 - (8 - 22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(2\/15)*b*b)\/b)*b)\/(b*b\/(b*b**21*b*b)) assuming b is positive.\nAnswer: b**(343\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 11*p + 5*p**3 - 6*p**2 - 2*p**3 + 12*p**3 + 6. Let r(h) = -3*h**3 + h**2 - 2*h - 1. Suppose -2*w + 23 = 27. Give w*c(i) - 11*r(i).\nAnswer: 3*i**3 + i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3750 - -2592. Is 10 a factor of h\/(-6) + 4 + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1380\/75 - 8 - 4\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90948.08 to the nearest one thousand.\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-15)*d**(-13))\/(d**(1\/15)*d*d\/(d*d**(-9)*d)) assuming d is positive.\nAnswer: d**(-91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 - 13*f**3 - 3*f**2 + 10*f + 27*f**3 + 71 - 34 - 3*f**2 as n*f**2 + s*f**3 + d + b*f and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14928812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 15 - 2*r + 0*r - r**2 + 0*r**2 - 5*r. Let u be k(-8). Solve -3*z - u = -s, 0 = 3*z + 6*s - 2*s - 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 5*v**3\/3 + 8*v**2 + 76*v - 72. Is s(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6342954 and 24.\nAnswer: 25371816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 plus 219970709336?\nAnswer: 219970709335.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 53730*c + 15734 wrt c?\nAnswer: 53730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 34 = 2*p - 4*h, 0 = -7322*p + 7319*p - 3*h - 33 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 10*z**2 + 21*z - 5. Let h be m(-7). Let s(y) = -4*y - 56. Let i(a) = a + 31. Let p(t) = 7*i(t) + 4*s(t). What is p(h)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18560*l + 18571*l = -154 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/(-4)*-1 + (-8)\/32. Solve 0 = -2*c + l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92984 is divided by 312.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-30) + (-28)\/21.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325 = -r - 4*r - 5*w, 5*r - 289 = 4*w. Suppose 7*b - 6 = 4*b. Suppose -y - b = -r. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(275) - (sqrt(275)*-2 - sqrt(275)))\/sqrt(5) + sqrt(495) + 1*sqrt(495)))\/(-5*2*sqrt(2880)) + 2)**2.\nAnswer: 5*sqrt(11)\/6 + 2579\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -0*c - c. Suppose 6 = 5*j - 74. Let i = j - c. Is i bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 2174321?\nAnswer: -2174322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 38 = 3*s - 0*o, 0 = -5*s - 5*o - 70. Let i = -6 - s. Suppose i*b + 2*x + 0 = 128, -5*b + 166 = 4*x. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*y + 2*x + 682, -y - 2*x = -357. Calculate the remainder when y is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0 - 1\/6*r**3 - 17\/60*r**5 + 56*r**2 + 0*r + 1\/12*r**4. What is i(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 2*q - 1. Let s(j) = 4*j**2 + 7*j - 4. What is 7*c(g) - 2*s(g)?\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 116490348 a multiple of 2132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -51a3666?\nAnswer: 51a3667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -216.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/(-280))\/(10\/(-8))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = q - 40, -p + 180 = 5*q + 4*p. Let k = 69 - q. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 - -514663351\nAnswer: 514663248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 - 58 + 43)*(0*u + u - 2*u).\nAnswer: 75*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.134519 to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 405 - -1334. Is 47 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18819 bigger than -18819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3242877 rounded to 2 dps?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4125aa (base 11) to base 16\nAnswer: a1ad8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**5 - 3*i**5 + 4*i**5 + 4*i**3 + (-3*i**4 + 2*i**4 - i**4)*(8207*i + 7325*i - 17482*i).\nAnswer: 3898*i**5 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-44))\/((192\/(-6))\/(-4))\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 883*d**5\/10 - 1111*d**4\/6 - d + 211. What is the third derivative of m(z) wrt z?\nAnswer: 10596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((2 + -3)\/1)\/(84 - 85). Let q be 357 - (w - (3 - 4)). Calculate the highest common factor of q and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/20)\/(4\/10). Let u be 0\/1*h\/(-6). Solve 3*p - p = u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2269\/7 + -325. Is -1 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 3:05 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + 4. Let o be (-4)\/c + (-115)\/(-35). Solve 24 = 3*b - 5*t + o, 0 = 5*b + 4*t + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.1334 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-3\/26))**(6\/7))**(-11) assuming w is positive.\nAnswer: w**(-957\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -21*g**2\/2 + 2*g + 3. Let q be k(-2). Let n = 9 + 13. Calculate the highest common divisor of n and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37043492.\nAnswer: 2, 9260873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 3 + 6. Let s = k - -3. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, 1, -27 in ascending order.\nAnswer: -27, -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5*3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/168 and -65\/294.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((100\/8)\/(-5))\/((4\/1141616)\/(-1)). What is v rounded to the nearest 10000?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 53742080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -613416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -282 - -157. Let d = j + 165. What is the greatest common divisor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/25*8*40\/12416?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7534*n + 37231. What is a(5)?\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11875 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 11 = -5*z, -2*z - 4 = -2*r - 14. Let c = r - -2. Suppose -3*j + 6 = -0*j. Solve c*y - 6 = -j*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - w + 6. Let s be 2*1\/1*1. Suppose -5*f = -s*f. What is the units digit of t(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/16*(227 + -1 + 2). Let v = u + -113. List the prime factors of v.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10 = -4*r. Suppose -3*n - n = 4*d + 20, -10 = 5*d + 2*n. Suppose d = -6*p + p + 10. Solve r*x = -0 + p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 628.614 + -628. Let o = -765.397 - -765. Let d = s + o. Round d to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -50, -72, -104, -146, -198?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4))**(-27))**(-3\/31)*w*w**(-1)*w**(-6)*w*w*w**(-2\/5)\/w**(1\/6) assuming w is positive.\nAnswer: w**(-9709\/1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - 1. Let o(v) = 3*v + 4. Give -6*n(s) - o(s).\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2592599 to the power of 1\/2, to the nearest integer?\nAnswer: 1610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - -0.38. Let o = -0.009 - -51.009. Let i = 46 - o. What is the nearest to -2\/7 in 0.2, i, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196 + 201. Suppose -4*n - n = 3*k - 5, 0 = n + 4*k - 18. Suppose -4*b - 3*r + r + 4 = 0, b = -2*r - 5. Put z, b, n in descending order.\nAnswer: z, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9*b**3 + 1. Let u = -4 + 5. Let p be n(u). Let d = p - -5. Put 0, d, 1 in descending order.\nAnswer: 1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 7*h - 1188 = 0. Suppose 3*z + 95 = -m + 382, 2*z + 2*m - h = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a3 - -5?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvnywva. Give prob of sequence wa.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 5 (b) -1.7 (c) -1\/3 (d) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h + 110 = 0. Let i(p) = 6*p + 42. Let x be i(-5). Suppose -q + x = -h. Calculate the remainder when q is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 2\/7 (c) 2\/19 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -144104024 (base 5) in base 7?\nAnswer: -6352516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*c + 2055716 = 336*c - 5686876. Which is bigger: 19551 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 18.5. What is the closest to -2\/15 in l, 1\/3, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*n + 6062 - 1430 = -2937 for n.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 784 + 770. Let k be s\/189 + 4\/(-18). Let b(y) = y**3 - 7*y**2 - 10*y + 11. Give b(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -1)\/(0 - -2). Let k = 5 - 2. Put 1, d, k in decreasing order.\nAnswer: k, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 20, -3*s - 4*p + 40 = 129. Let v be (-24)\/(-14)*133\/(-10). Let r = s - v. What is the biggest value in 0.1, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 19 = -3*c, -92*c - 71 - 11 - 123 + 16 = -u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2147549?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4394422784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 = 2*t - 5*y, 2*y - 12 = -2*t. Find the second derivative of -6*j**t + 7*j**3 + 2*j**4 - 7*j**3 + 2*j wrt j.\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - 15107028 = 13996500. Let p = -1365294 - y. Round p to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*2\/44*11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*i**6 - 92*i**2 + 116*i**2 - 3*i**6 wrt i.\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75.008 - -74.8. Let i = -0.29 - -0.05. Let l = i - r. What is l rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*m - 8356, m + 5928 = 3*w - 19118. List the prime factors of w.\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whxwgbww. What is prob of sequence bhxg?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**4*j**2 - 4*b**4*j - b**3*j*s + 8*b**2*j**2 - 2*b**2*j*s + b**2*s + b*j*s wrt b.\nAnswer: -96*b*j**2 - 96*b*j - 6*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6564516 divided by 51\nAnswer: -128716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20196 is divided by 8004.\nAnswer: 4188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2 + 0 - 3 + 4 + (3 - 2 + 0)*(3 + 1 - 6))*(-4*o + o + 2*o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 1320103?\nAnswer: -1320106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 13*r**2 - 64 - 19*r**2 + 29.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 14*v**2 - 7*v + 78. Calculate b(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 60856*a**2 + 0*a**4 + 2*a**4 - 60857*a**2 - 80 + 0*a**4 - 24*a**3 - 3*a**4 as r*a + j + m*a**2 + v*a**4 + q*a**3 and give j.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -29, -62, -99, -134, -161, -174, -167?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -2, 634*d - 5*p - 48 = -625*d + 1180*d + 100 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 279*r + 192*r + 238*r - 203*r + 89*r to the form m + v*r and give v.\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16779 divided by -141.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -3*f + 49 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**4 - 18232*x**3 + 15004772*x**2 + 13960492000*x + 13945468992 = 0.\nAnswer: -537, -1, 2548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1230 divided by -3.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9*o**2 + 232*o - 2. Let w be y(-26). Let a(j) = 3*j**2 - 7*j + 9. Let t be a(6). Calculate the highest common divisor of t and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 67 = -98. Let g = -15 + s. Calculate the lowest common multiple of 2 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-70)\/(-15)))\/(15\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (1 + 2) - (-4 - (-4 + -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - 56\/(-6))\/((-2)\/3). Let z(y) = y**2 + 6*y + 9. Let o be z(k). What is the third derivative of 9*j**4 + o*j**4 - 17*j**2 - j**4 + 2*j**2 wrt j?\nAnswer: 288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1389579, -1389580, -1389581, -1389582, -1389583, -1389584?\n\"Answer: -j - 1389578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 29*x**2 + 14*x + 1668. Calculate p(26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23369922871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -41, -22, 17, 82, 179?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, h: 4, z: 8, k: 3}. Give prob of picking 1 g, 1 h, and 2 k.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(((-27)\/6)\/(-3))*(-378)\/216)\/2?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13328 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.3 - -12. Let t = 8.99 + -9.49. What is the third smallest value in t, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 17 = -47. Let y(t) = t**3 + 5*t**2 - 8*t - 7. Let p be y(g). Find the third derivative of 4*l**2 + 0*l**p - 3*l**2 - 4*l**2 - l**5 wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(3\/2)*m**10)\/(m*m**13*m*(m**8\/m)\/m) assuming m is positive.\nAnswer: m**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 15*x**2 + 2844*x - 2843. Let f be l(1). Let -15*y**2 - f*y - 25\/6*y**3 - 16\/3 = 0. Calculate y.\nAnswer: -2, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + (-5*sqrt(114)*1 - sqrt(114)) + 4*(4*sqrt(114) - sqrt(114)))\/((1*sqrt(96)\/sqrt(2))\/(-5*(sqrt(8) + sqrt(8)*-2 - sqrt(8)))).\nAnswer: 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + 11. Suppose 0*x + 28 = 4*h + 5*x, 0 = 4*h + 3*x - 20. Let b be c(h). Let q = 12 - b. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -419 - 13317.\nAnswer: -13736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2553747341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2567368.\nAnswer: 2, 61, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 22 = 2*h, 0 = 5*h - h + 3*m + 44. Is h != -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/56)\/(-2) + 11925\/525.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*o + 190 = 102. Let c be 5*(2 - 14\/5). Let y = -1 - c. Solve o*w + 12 = -4*z, -w + y - 7 = z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 54*b**2 + 12*b - 12. Let r(i) = -i**2 + 4*i - 1. Determine -3*r(u) + s(u).\nAnswer: 57*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Put -137, 2, 1, -1, -3 in ascending order.\nAnswer: -137, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1069744053?\nAnswer: 3, 7, 23, 2214791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b - 4 + 4 + 25*b + 6*b - 60*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 4, 1630, 112 in increasing order.\nAnswer: -1, 2, 4, 112, 1630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-7)*t**5)\/(t\/t**(-2\/11)*t*t*t)**8 assuming t is positive.\nAnswer: t**(-225\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1660516 is divided by 2352.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 - 9*w**2 + 16*w + 4. Let l(n) = -5*n**3 + 28*n**2 - 47*n - 13. Let a(q) = 3*l(q) + 8*u(q). Calculate a(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/420)\/(4\/336)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 102*b - 0*b - 1908. Calculate the smallest common multiple of b and 146.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102552061823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -4, 57, -10 in descending order.\nAnswer: 57, 1, 0, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*v - 1273, -5*v + 39*z = 37*z - 1261. What is the highest common divisor of 874 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**3\/7 + 9*z**2\/14 + 162*z\/7 - 1422. Factor p(f).\nAnswer: -3*(f - 9)*(f + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312918 is divided by 508?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2 + (-15)\/(-8)). Let s = -3 - y. Solve -s*w - 27 + 2 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2 + 3*o + 2. Let g be w(-1). Suppose -2*u + 2 = 0, g*h + 10 = 6*h + 4*u. Solve -1 = 3*c - h*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u + 203. Let d be h(45). Let p(n) = 12*n - 2. Let k be p(2). Is k at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*p - 30. Which is the fourth biggest value? (a) 1 (b) p (c) -3\/7 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-6)*w)\/w)\/w*w\/(w*w\/w**(4\/5))*((w\/w**(1\/3))\/w)\/(w\/w**8) assuming w is positive.\nAnswer: w**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b13 (base 15) in base 4?\nAnswer: 3321321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.9 - -3.1. Let l = -15.1 + i. Suppose -25 = 5*d, 16 + 4 = -5*o - 3*d. Which is the smallest value? (a) -5 (b) o (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1. Suppose -5*h + 142 = 4*n + 157, 5*n = 2*h - 27. Let y(g) = -g + 8. Calculate h*y(c) + 4*d(c).\nAnswer: -c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1555 + 1615.2. What is k rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*h**2 + 50620*h - 14460.\nAnswer: -5*(h - 1446)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*(-520)\/17640)\/(-13)?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -647*c + 146*c + 214*c.\nAnswer: -287*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 1042.\nAnswer: -312.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265*a - 12*a**2 + 265*a - 10*a**2 + 27*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4 - 8*d**3 - 48*d**2 = 0. What is d?\nAnswer: -4, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5418 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4286 = w + 14464, -5*h = -5*w - 31250. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/182100 and 193\/254940.\nAnswer: 1274700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 10*w**2 - 6. Let j(n) = -20*n**2 + 13. Calculate -3*j(l) - 7*y(l).\nAnswer: -10*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in 0, -209, 1\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of ((-1110)\/(-12))\/(-5)*-1*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 11:41 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 429198969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -15*a + 2. Let o(p) = 16*p - 2. Let i(j) = 2*j**2 - 9*j - 296. Let z be i(-10). Calculate z*o(q) - 7*b(q).\nAnswer: 9*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/4)*z*z**(-6))**(-22)*(z**(-4)\/(z*((z\/z**(-1\/2)*z)\/z)\/z*z))\/(z\/(z**(-3)\/z)*z*z\/z**(-2\/11)) assuming z is positive.\nAnswer: z**(878\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020101220 - -2222201?\nAnswer: -1010102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 7:21 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**2 - 2752*p = 0.\nAnswer: 0, 688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2255856 to the power of 1\/2, to the nearest integer?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-86 - (41 - 103)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1428)\/(-84))\/(9\/9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 202 (b) -2\/7 (c) 0.05 (d) 0.5 (e) -2 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.239 + -16.239. What is the smallest value in 42, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 1, r: 2}. What is prob of sequence rz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 238 - 148 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41291071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3357147*h**2 + 50876*h - 24.\nAnswer: -6714294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -49. Let l be 2*(9\/2 - x). Sort -5, l, -1.\nAnswer: -5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 25*z**2 - 153*z - 1391. What is v(-11)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10001100 (base 2) to base 4\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 5. Let s be 3\/6 + 9\/(-2). Let g be b(s). Suppose -36*q = -34*q + 12, -21 = 5*i + 6*q. Solve 4*f = o - g, f - i*o = -4*f - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/80*15\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t**2. Let q(i) = -38909*i. Calculate u(q(f)).\nAnswer: -13625192529*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 94784405 divided by 5\nAnswer: 18956881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63626 or 64361?\nAnswer: 64361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5152 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 2*s + 12. Let f(x) = -x**2 + 2*x + 11. Give 2*f(w) - 3*q(w).\nAnswer: w**2 - 2*w - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51933633\/718 + -72331. Find the common denominator of o and -49\/18.\nAnswer: 6462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 8*r - 12*r + 12, -2*r - 2*v + 4 = 0. Solve o = 5*m - 15, -o - 4*o - r*m - 17 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/5 - (-2)\/10. Suppose 0 = m - s*m - 2294. Let k = m + 18379\/8. Find the common denominator of k and -73\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 2*b = f + 50, 2*f + 67 = 3*b. Let i = f - -37. Does i = -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 u when three letters picked without replacement from kpuuppeziiip.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1614624 and 168190.\nAnswer: 8073120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71145504 and 9440.\nAnswer: 355727520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.999844 - 23. What is y rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 3762*b**3.\nAnswer: 3762*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 11\/3 (b) 1399 (c) 2 (d) 0.3 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 10*w + 5*w = -39, 0 = -3*c - 3*w + 738 - 717 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/6)*(w*w**2)\/w)\/(w**(1\/3)\/w*w)**(-1\/9) assuming w is positive.\nAnswer: w**(101\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.37 + 2.16. Let b = -0.75 - -0.05. Let m = g + b. What is m rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.5132.\nAnswer: -0.5132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o - 2. Let i be (-4 - -2) + -50 - 1. What is the common denominator of o\/(-8) + i\/(-4) and -29\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 5)*(-2 + 2 + 1)*(0 + 0 + 4*h**4) to q + m*h**4 + j*h**3 + i*h + r*h**2 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 7*h**2 - 18*h - 71. Let w be t(-6). Does -2\/1325 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -973\/2 + 523. Let u be (-1)\/((-1)\/118 - 0). Find the common denominator of y and 2 + 2\/((-56)\/u).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((-24)\/(-4 + 0) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 4*j + 2608, -2*k - 2072 = 2*k - 4*j. Let c = k - -542. What is the remainder when 151 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540 divided by -3.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/6650 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3846162 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 1, 3\/5, -5, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3528 + -4?\nAnswer: 3524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -12 - 6. Suppose -5*u + 61 = m*v, 0*v = -3*u - 3*v + 33. Suppose 2*j**3 - u*j**2 - j**3 + 8*j**2 + 8*j**2 = 0. What is j?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 8 = -h, -7*h + 8 = -3*h. Suppose w = 2*i + 4. Suppose 2*g = 4*n - 10, -3*n + 0*n = 3*g - i. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 540286927 and 1555?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/731 bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(17) + sqrt(34)\/sqrt(2)*-5)**2.\nAnswer: -16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a century in months?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18594 in -24, -5, -3\/8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6165967265 and -9.\nAnswer: 6165967256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**23\/(t**(-1\/8)\/t**0) assuming t is positive.\nAnswer: t**(-367\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 2\/7, 1\/5, 0.044?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 2\/13, 1, -5\/2, 4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 6:49 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*o**2 + 452*o - 320.\nAnswer: 2*(3*o - 2)*(7*o + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1161*y + 584*y - 18*y**3 + 577*y.\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10.4?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d + 6*d + 6*d + 2*d - 5*d + d + (1 + 0 - 2)*(-4*d + 4*d + d) - 2 + 2 + 2*d + d - d + 2*d + (-12 - 16 + 31)*(-3*d + d + d) to m*d + f and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -46*b**2 + 3 + 4*b + 44*b**2 - 9*b + 7*b**3. Let k be r(-3). Is k bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3305, -6614, -9923?\n\"Answer: -3309*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 48. Suppose -4*j = -5*q - 329, j + 3*j + 3*q - 289 = 0. Calculate the remainder when j is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1613246, -1613101, -1612854, -1612499, -1612030, -1611441, -1610726, -1609879?\nAnswer: -1608894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4256142 (base 7) in base 13?\nAnswer: 151c23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2963 rounded to three dps?\nAnswer: 0.296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/10)\/(z*z*(z\/(z\/z**(4\/7)))\/z*z))\/((z*z**11*z*z)\/z**8) assuming z is positive.\nAnswer: z**(-607\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12771 and 17266392.\nAnswer: 17266392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8954086.\nAnswer: 2, 4477043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 13 - 3 = 0. Let g = -5 - n. Solve t - g - 1 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.049114 (b) 3\/7 (c) 0.2 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1441 - -5?\nAnswer: -1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 8:33 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 4 + x + 2*x - 3*x**2. Let w(y) = -21*y**2 + 15*y + 27. Let b = -39 + 37. Let d(q) = b*w(q) + 15*g(q). Find the first derivative of d(p) wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/2*(-5745)\/(-4596)*-1*10\/(-25)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -32778292.\nAnswer: -1\/32778292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 641\nAnswer: 34\/641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 14*n - 1. Let d be t(-10). Suppose 4*r + 31 = d. Is 87 + r + 0 + -4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22336, 39356, 56376?\nAnswer: 73396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/(-37)*(12\/558)\/((12\/(-2))\/(-3)).\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 2*u**2 + u - 2. Let f be v(-3). What is the third derivative of -16*a**2 - a**5 + 2 - 20*a**2 + 45*a**2 - 14*a**2 - a**f wrt a?\nAnswer: -60*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 1861 = -575. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4 + 8. Let f be 8481*(-79 + -2 + 2)*m. Let a be f - -2 - (1 + 0). What is a rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 5*b**2 + 5*b + 6. Let a be s(-4). Let w(v) = v**a + 1 + 6*v + 0*v - 2*v**2 - v. Let z(l) = 9*l - 2. Let g be z(1). Calculate w(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/87584 and 191\/131376.\nAnswer: 262752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-7)\/(-4))*-4. Let j = x - 0. Which is smaller: j or 1\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 c when four letters picked without replacement from {m: 2, c: 18}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2268*d + 8460 = 1962*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -145, -153, -161, -169, -177?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -162834053 and 0.2.\nAnswer: -32566810.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840 plus 744231371?\nAnswer: 744233211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d - 41*d - 119 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 44373?\nAnswer: -44373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 311942317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 12:32 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 14909.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46057368 and 4934718?\nAnswer: 138172104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 + 0*v**3 + 98*v - 88*v + 2*v**2 - v**3 as o + p*v + u*v**3 + f*v**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3*b + 0 + (-1 - 3*b + 1)*(-5 + 4 - 1).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -912.53 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + 0*d**4 + 3*d**4 + (2 - 3 + 2)*(3*d**4 - 2*d**4 + d**4) - 3*d**4 + 0*d**4 + 4*d**4 - 3*d**4 + 4*d**4 - 6*d**3 + 5*d**3.\nAnswer: 6*d**4 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + p**2 - p. Let b(g) = 53*g**3 + 3*g**2 + g + 1. Let d(a) = -b(a) + 2*m(a). Let y be ((-20)\/10)\/(8\/4). Is 29 a factor of d(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.29 + 0.3. Let d = f + 0.99. What is the smallest value in 2\/7, 2\/5, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 2:19 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-11) - 24\/(-11). Let q(g) = -2*g**2 - 1 + 0 + 3*g**n + 0. Let h(b) = -2*b**3 + 6*b**2 - 4. Let c(t) = -h(t) + 4*q(t). Factor c(x).\nAnswer: 2*x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x + 13 - 63 = -175 - 355 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**2 - 56*p - 1. Let b(i) = i**2 + 3*i + 1. What is 3*b(o) + u(o)?\nAnswer: -o**2 - 47*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 5. Suppose -2*g + n*g = 10. Suppose -2*t - g*t = -96. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**5\/60 + 5*k**4\/24 - k**3\/2 - 4*k**2. Give s(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -4\/5, -2\/9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (136\/(-5))\/((-8)\/560). Suppose -16*a - k = -20*a. Suppose 4*h + 3*f = -0*h + 484, -4*h - f + a = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -182, -80, 32, 160, 310, 488, 700, 952?\n\"Answer: s**3 - s**2 + 98*s - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -18. What is the least common multiple of 8 and (-66)\/(-5)*t\/(-3)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244 divided by 2.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = k + 2, -2*h - 1 + 3 = 4*k. Let i be h - -25 - (-3 + 8 + -4). Factor 11*b**4 + 30*b**2 + 22*b**3 + 18*b - 21 - 5*b**4 + i.\nAnswer: 2*(b + 1)**3*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 5\/3, 1, 5, 3 in ascending order.\nAnswer: -2\/9, 1, 5\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 3923504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-3)*6\/20. Let p = 2.73745 - 2.53745. What is the nearest to o in p, 0, -6, 2\/25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 268 - 151. Does 28 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 - 12*l**2 + 7*l**2 + 1 as y*l**2 + u*l + q and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 + -69 + (-15 - 18)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55978 - -203345. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**3 + 4*s**2 - 12*s + 4. Determine m(3).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3219801 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 y when three letters picked without replacement from ffgyafm?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a century in months?\nAnswer: 34200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*f + 0 + 2 = 0, 3*h + 5*f = 6. Factor -52*i**3 - 2*i**4 + h*i**5 + 50*i**3 + 2*i**2 + 0*i**2.\nAnswer: 2*i**2*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 - 2 - 108814*y + 108858*y + 4*y**2 in the form l + m*y**2 + t*y and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-42)*3\/2. Let g = -20\/41 + 101\/123. Put -0.3, c, g in descending order.\nAnswer: g, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 369 + -437 + (24 - -15)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 > 24748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**4\/12 + 19*l**2. Let v(d) = d**2. What is v(p(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 0*q + 4*q + 33, q + 2 = 0. Suppose 5*j + 3*w - 147 = w, 2*j - u*w - 82 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -220 + 337. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -7) + (-1409 - -1400).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29525*q**3*v**3*z - q**3*v - q**3 - q**2*v**2*z - q**2*v*z + v**3 - 252*v**2*z wrt v.\nAnswer: -177150*q**3*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9035?\nAnswer: 5, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14009*a + 14014*a = -y - 26, -5*a - 2*y - 37 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 9\/38, 743?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13 and -29943495?\nAnswer: 29943508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/16 - (-1)\/4. Let b(a) = 1 - 1 + 1 - a + 5*a**2. Determine b(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13282, 13371, 13450, 13513, 13554, 13567?\nAnswer: 13546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-6)\/192*(-4640)\/3248\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + h = -339 + 333, -2*v + 5*h + 2 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 7. Let i(j) = -12*j - 7. Let h(a) = i(a) + t(a). Let n(g) = g. Give h(f) - 4*n(f).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**7\/945 + 13*y**6\/540 - 29*y**5\/270 + 5*y**4\/36 - 12*y**2 - 1. Factor w(z).\nAnswer: 2*z*(z - 1)**2*(z + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 5*o**2 - 8*o + 2. Let q = 5415 + -5412. What is z(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 41*i**2 - 3. Let v(z) = -3*z**3 - 122*z**2 - 8. Give -8*a(l) + 3*v(l).\nAnswer: -l**3 - 38*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o + 0*o + o + (4 + 4 - 6)*(0*o - 4*o + 3*o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptpttppptp. Give prob of sequence tpt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 43276.95 litres in millilitres?\nAnswer: 43276950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**8\/224 - f**7\/7 - 133*f**6\/80 - 37*f**5\/4 - 26*f**4 - 40*f**3 + 809*f**2. Determine x so that t(x) = 0.\nAnswer: -10, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**6\/3 - 2*g**5\/5 - g**4 + 4*g**3\/3 + g**2 - 2*g + 2. Determine f, given that a(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 982, 965, 948?\n\"Answer: -17*i + 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 5*b - 2. Let m be d(-4). Let o(c) = -c**m + 4*c**2 - c**2. Let r(n) = -3*n**2. Give r(o(p)).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87928 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 112?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a millimeter in micrometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -0.5, 5, 0.4 in decreasing order.\nAnswer: 37, 5, 0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1119 = -2*w - 140*a + 141*a, w = 2*a + 564. What is the smallest common multiple of w and 252?\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3943 is divided by 67?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*h - 1043876 - 1753507 - 36817 = 0. Is 40 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 - 3*k - 4. Let s be r(3). Suppose -2*x + s = -x. Solve -2*v = -y + x*y - 12, v - 14 = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x + 9633 = 25*x + 51*x. Which is greater: 206 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2796.73 - 2799. Which is greater: 2\/5 or j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 86*g**2 - 1406*g - 536. Calculate z(64).\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 78*m - 95. What is l(77)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 + 2101212011020?\nAnswer: 2101212010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2 - 8*v - 1. Is u(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 27. Solve -2*c + 7*a + 21 = 2*a, c = x*a + 23 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2. Let g(c) = -3*c**2. Let x(a) = -a**3 - 2*a**2 - 3*a - 1. Let y = 0 - 2. Let f be x(y). Let p = 4 - -2. Calculate f*o(i) + p*g(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 720725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/97428 and 79\/1336484.\nAnswer: 1415336556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = k - 1247, 2*k + 5*r = 943 + 1556. Calculate the remainder when k is divided by 180.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*3*(-28)\/189.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*u - 35. Suppose -2*s - 2 = 2*m - 20, 5*m - 5*s = u. Is 2 a factor of (-5 + 2)\/((-6)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5477665l?\nAnswer: 547.7665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -410.6509 rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 188\/102561 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157*z - 17035 + 17035 to q*z + i and give q.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.00166 months in centuries?\nAnswer: 0.12166805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 8*x + 12. Let h be (-18)\/4*20\/(-30). Suppose i - 18 = h*i. Let a be m(i). Sort -3, -1, a in ascending order.\nAnswer: -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -524 (base 10) to base 13.\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 11*i**2 + 4*i - 2. Let q be r(-8). What are the prime factors of (-13 - -27)*q\/4?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -2*h - 25, 55*h - 11*h - 90 = 31*h - 5*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3022743558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -15 - 4*o + 2*o**2 - 1\/3*o**3. What is i(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1442683 to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -47?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u + 2. Let g be m(14). Suppose -p + 42 + g = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 46 = 59. Suppose -271 = 5*v - j, 160 = -5*v - 5*j - k. Let z = 58 + v. Solve -z*b + 0*b - 16 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-375))\/((-14)\/9)*-5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 49, 1, 0, 5 in decreasing order.\nAnswer: 49, 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92440 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**2 - 4 + 14 - 30*c + 20 - 2 = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*s**2 - 51*s**2 - 17*s**2 - 10*s**2 + 79*s - 3*s**2.\nAnswer: -118*s**2 + 79*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, h: 3, e: 4, b: 1, l: 2}. What is prob of sequence hehb?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70282, 70262, 70242?\nAnswer: 70222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3019547793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*n - 49 = 0, 132*n + 256 = 5*q + 128*n. Calculate the highest common factor of q and 4212.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2*w + 6 + 14*w + 11*w to the form h*w + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101516267?\nAnswer: 197, 515311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:03 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 + 62 - 10*t + 44.\nAnswer: -10*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = -2*x. Let h = x + 20. Calculate the highest common factor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*r + 5*r. Calculate the remainder when r is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2665123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-16 - -14 - -2) - (0 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/72 and -61\/512?\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 938097640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-8)*(0 + 2). Let x = p + -3. Find the third derivative of 3*a**x + 2*a**2 + 5*a**3 + a**3 wrt a.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-26) - (12 - 9756\/819). What is the second biggest value in 0.019, -2\/5, 4, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 7. Let c(s) = 66*s + 446. Let b be c(-7). Put g, b, -4 in increasing order.\nAnswer: b, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10456 - 10446. Suppose -g + 9 = 2. Solve -g*i + z*i + 3 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 - (-2 + 2))*(-1 + 2). Is 246\/(-24) + 10 + 2178\/l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**3\/2 - 10152005*d**2\/2 + 20304040*d - 20304050 = 0. What is d?\nAnswer: -2030405, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m - 55. Let h be q(10). Suppose h*o = -15, -14*d + 2*o - 6 = -17*d. Solve d*y = 4*v - 24, -2*v - 3*v + 16 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5291*v - 5335*v - 1100 = 0 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 - -100. Let k be 24\/l*(-4 - (-51)\/9). Suppose 0*j = j - 5. Solve -2*h + k*f + 2 = -j*h, 3*f = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 770*s**3 + 382*s.\nAnswer: 4620*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 5*m**2 - m + 6. Let p be r(-5). Suppose -4*q - 79 = -431. Calculate the highest common divisor of p and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-70)*(-1 + 4\/2 + 1)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75 - 74 + 148 + 41*s**3 + 61*s**3)*(-1 + s + 1) - 43*s**3 + 29*s**4 + 43*s**3 to the form n*s**2 + k + m*s + p*s**3 + z*s**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uduxxjujxuuu. Give prob of sequence ujux.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*sqrt(153)\/sqrt(9).\nAnswer: -1 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 26*s**2 + 46*s + 35. Calculate f(-24).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v + 6*v + 6*v - 5*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002237 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*b = -r - 34, -b = -4*r + 7. Suppose 37 = 4*h + 5*j, 0*h = 5*h - r*j. Let c(o) = h*o - 2*o + 8*o + 5*o. Let u(y) = y**2. Calculate c(u(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + ((-32)\/24 - (-61)\/(-15))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-15)\/5)\/(3\/((-189)\/(-2))). Solve s = -h + 57 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -904674472 divided by 66403.\nAnswer: -13624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 0, 0 = 27*a - 24*a + 4*d - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-800)\/(-112) + 2\/(-14) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39972112.\nAnswer: 2, 43, 58099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.5 + -15. Let u = -2\/7 + 17\/35. Which is the biggest value? (a) u (b) v (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408 = -9*g + 1020. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111*l**3 - 57*l**3 - 13*l**2 - 21 - 10 - 56*l**3 with respect to l.\nAnswer: -6*l**2 - 26*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10834104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d = -54*d - 83 - 73 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**4 - 34*g**3 + 742*g**2 wrt g?\nAnswer: 24*g - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 22*s = 336. Let d be 1*(-44)\/s*-4. Suppose d*r - 20*r = -8*r. Which is bigger: r or -1\/226?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 10*c + 291. Is 16 a factor of p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 72\/27*(-3 + 27\/(-12)). What is the units digit of 7\/(r\/(-130)) - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5 - 25 + 10*t**3 - 29*t**3 wrt t?\nAnswer: -57*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3072 = 7*k + 2*k + 2928 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.393878*0.1097\nAnswer: -0.0432084166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 192 + 72 = 0. Suppose 5*g = 8*q - 4*q + w, -3*g = 4*q - 12. Let p = 5 + -3. Solve q = -5*s - 13 - p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17090, 5, -5, 27, -15 in ascending order.\nAnswer: -17090, -15, -5, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2)*(0 + 0). Let q(y) = y**2 + 3*y + 3. Let a be q(d). What is the closest to -0.1 in 2\/9, a, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + f + 4085, -5*c - 3*f = -7*f - 4100. Suppose 2*t - c = -2*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231915 divided by 32?\nAnswer: 231915\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 42, 99, 1\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5*j + 15, -3*p - j - j = 23. Let o(d) = -2*d + 11. Suppose k = -4*c + 49, -3*k + 8 = c - 18. What is the remainder when o(p) is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 2*t**2 - 14*t + 33. Suppose 0 = 2*b + l - 9, 3*b = 2*l + 104 - 108. Determine y(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -3.09.\nAnswer: -6.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/14377 smaller than -434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*c - 1, 3*c - 7*c = -v - 6. Let t(i) = -5*i**3 + i + 1. Let q be t(-1). Let f = -4 + q. What is the nearest to f in -1, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12209475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (sqrt(832) - (sqrt(832) + 0 + sqrt(832))*3 - sqrt(832)) - (sqrt(832) + 0 + 1))**2 + (1 + sqrt(832) + -5 - (2 + sqrt(832)*-3)).\nAnswer: -64*sqrt(13) + 29947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5 - 9. Let r be (-14)\/(-4)*4\/c. Suppose -2 - 4*l**2 - 2*l**2 + 7*l**2 - 4*l - 3*l**r = 0. What is l?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - y - 4. Let z be b(-2). Let w(t) be the first derivative of -t - 7\/3*t**3 + 1 - t**z. What is w(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 584641\/210 - 2784. Let n(j) be the second derivative of 0 - 1\/50*j**6 + 1\/15*j**4 + 0*j**5 + 0*j**2 - 2*j - y*j**7 + 0*j**3. Factor n(b).\nAnswer: -b**2*(b - 1)*(b + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -41. Let u = 61 - 99. Let r = t - u. Calculate the greatest common divisor of r and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 8. Let n be 2\/(2\/8 + c). Let s be 214\/6 - n\/(-24). Calculate the greatest common factor of 54 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 213760 and 471168?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 8:34 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -100, -143, -186, -229?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -3544?\nAnswer: 3544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -49*p + 2. Let v be n(-1). Let h = -39 + v. Suppose 16*d - 44 = h*d. Solve 4*c = f + d, 2*c + 3*f = 4*c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*w - 186 = -y, 0 = 2*y + 2*w - 74. Let l(a) = 7 + 32*a - 69*a + y*a. Let o(g) = 1. Calculate -4*l(s) + 28*o(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5\/5 + 81*y**4\/5 - 1014*y**3\/5 + 3456*y**2\/5 - 3552*y\/5 = 0 for y.\nAnswer: -37, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 955597.6 micrograms?\nAnswer: 0.0000009555976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d + 26 + 29 + 0*d + 17 - 101. What is w(-16)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -55 - (-7 + 23 + -29) - -13?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.4 - -5.2. Let d = -4 - w. What is the closest to 0 in -3, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (4 + -2 - 14)\/(24\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - -6*(2*sqrt(153) - sqrt(153))) + (sqrt(153) - -4*sqrt(153)*2 - sqrt(153)))*5)\/(3*sqrt(81)\/sqrt(81) + 2*sqrt(441) + 2*sqrt(9)*2).\nAnswer: 75*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 187*f - 211. Let l(p) = 96*p - 105. Let x(s) = -11*l(s) + 6*r(s). Is x(9) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + ((-25)\/3)\/(64\/48).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*q + 80*b - 665 = 76*b + 54, -5*q + 54 = 3*b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39905305 a multiple of 2762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - -2 - (-8 - (-15 - 5))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*z = 11, -11*z + 14 = b - 14*z. Suppose 3*l + 2*g - 25 = 0, 2*g - 21 = -2*l - 3. Let k = l - 5. Solve -45 = b*i + 4*c, -k*i - i + 4*c = -5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 2}. What is prob of sequence yy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 22. Let a(l) be the second derivative of 0 + 5\/126*l**7 + 0*l**3 - 7\/90*l**6 - l + 0*l**4 + 1\/30*l**w + 0*l**2. Factor a(f).\nAnswer: f**3*(f - 1)*(5*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - v + 10 = v, 17 = 2*w - 3*v. Suppose -w*j = 5 + 23. Put 2, j, -3 in ascending order.\nAnswer: j, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5756*n**3 + 3 + 296*n**3 - 3.\nAnswer: -5460*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/11, 571, 5, 31.\nAnswer: -4, 1\/11, 5, 31, 571","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 2666?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from erzzkmz. Give prob of picking 1 r, 1 e, 1 k, and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 975?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -4 - 50\/51*d**3 + 0*d + 3*d**2 + 1\/1020*d**6 - 2\/85*d**5 + 15\/68*d**4. Factor i(k).\nAnswer: 2*(k - 5)**2*(k - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 4. Suppose -5*u + m = -3. What is the third biggest value in 3, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65797711 to the nearest integer?\nAnswer: 8112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + i + 195 = 0, -2*i = 5*a - 0*i - 210. Suppose -c = 4*s - s - a, -c = s - 38. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/413 or 0?\nAnswer: -24\/413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 11*m**2 - 4*m + 13. Let g(z) = 3*z - z - 6 + 45*z**2 - 50*z**2. Give -9*g(l) - 4*j(l).\nAnswer: l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -348 - -346.888. Let c = 0.213 + d. Let s = -0.107 - c. Round s to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -976, -1001, -1040, -1099, -1184, -1301, -1456, -1655?\n\"Answer: -h**3 - h**2 - 15*h - 959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62 and 30?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-9))\/((-12)\/36)*1. What is the nearest to -0.3 in p, 1, -1.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68) + (sqrt(68) - sqrt(68)*1) + sqrt(68))*1)\/(sqrt(324) + sqrt(4) - (sqrt(24)\/sqrt(3) + sqrt(8))\/sqrt(2)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 2. Let f(n) = -n - 22. What is -3*f(t) - 21*l(t)?\nAnswer: 45*t + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 2 + 577761*r**2 - 2 - 577995*r**2.\nAnswer: -234*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4215198 by 324246.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + 33 - 15*s to the form d + p*s and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -51 - (6600 + -6624)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 39.486\nAnswer: -15.7944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5 = 77. Let b be i\/30 + 0\/1. Let t = 4.03 - -0.97. What is the biggest value in b, -0.3, t, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 477 + -3335\/7. Let l = -22 + 24. Sort u, l, 4, 2\/3 in descending order.\nAnswer: 4, l, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 146 - 144. Suppose 5*c = 0, -15*p + 14*p + 313 = l*c. What are the prime factors of p?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -614819091.6 take away 14232?\nAnswer: -614833323.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -5.8. Sort 0.03, -2\/7, r.\nAnswer: r, -2\/7, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a91 (base 11) to base 2.\nAnswer: 10100110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1188, 1384, 1708, 2160, 2740, 3448?\nAnswer: 4284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/9810 and -73\/11990.\nAnswer: 107910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, -5, 1005, 0.03029?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31703 divided by 35\nAnswer: 4529\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -41*r**2 + 10*r - 18. Let p be v(5). Let k = -674 - p. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75338192 and 32?\nAnswer: 150676384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 + 186. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1648284592 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 930.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5250\/4 + 25\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 887121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 35055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35447814 is divided by 3544780?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-51 - -9)*-6. Let m = -15 + 19. Sort f, m, 12 in descending order.\nAnswer: 12, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1348*z + 3486 = -29034 + 859 + 657 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 4)*(-r - 4*r + 3*r) + 28*r - 509 + 509 as j*r + f and give j.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r - 4*r + 4*r to the form f*r + y and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmm when three letters picked without replacement from gghnnhtmgngggg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13438373 to the nearest integer?\nAnswer: 3666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 46 = -66. Let y be (1\/2)\/((-2)\/(-16)). Suppose 2*n = -5*l + 130, 0*l + y*n + 104 = 4*l. What is the remainder when l is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 2:30 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -2, -4 in increasing order.\nAnswer: -4, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 24. Let l be w(-11). Suppose -15 = 5*y, 4*x - l*x - 61 = y. Let s = x - 22. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5\/2 + 633*l**4\/2 - 16687*l**3 + 310599*l**2 - 4884705*l\/2 + 13880889\/2 = 0. What is l?\nAnswer: 9, 11, 27, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**2 - 1506673968*y + 141879152865554064 = 0. What is y?\nAnswer: 188334246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -15968.84?\nAnswer: -958.1304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -1\/6*x**3 + 127*x - 1\/84*x**4 + 0*x**2 + 0. Determine i so that a(i) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5\/3 (b) 0.4 (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 444404 + 62?\nAnswer: 444466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6606 = 5*z - 10*z, 2643 = 2*z + o. Calculate the highest common divisor of z and 360.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 divided by -2609?\nAnswer: 450\/2609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + c**2 + 0*c**2 + 3*c**2 - c**2 - c**2 + 5*c - 5*c + (-2*c + 4*c + 0*c)*(-c + 3*c - 4*c) + 15 - 1030*c + 1030*c - 3*c**2.\nAnswer: -5*c**2 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*p**3*v + 48*p**3 - p*v**3 wrt v.\nAnswer: -52*p**3 - 3*p*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20682\/(-16146)*39 - (-1)\/(-23)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80993694 divided by -465481?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7*a**0)**(-28)*(a**(-4)\/a*a)\/(a*a**(1\/4))*(a\/(a**(-1)*a))**39 assuming a is positive.\nAnswer: a**(-649\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2470681756.\nAnswer: 2, 617670439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 161486 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -9*i**3 - i**2 - 14*i - 15. What is q(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2156552 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**5\/40 - 9*c**4\/2 - 37*c**3 - 38*c**2 + 2. Factor y(v).\nAnswer: 3*(v - 74)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: 77027904 divided by 96\nAnswer: 802374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t - 261. Calculate the remainder when 121 is divided by k(33).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274089.\nAnswer: 3, 211, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 10*h**2 - 4*h - 12. Let a be l(9). Suppose -2*c = -269 + a. Let w = 37 - 13. What is the remainder when c is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8906878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 6:06 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/(2 + (-54)\/24)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169738453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2. Let a(f) be the first derivative of -f**5\/60 + f**3\/6 - 31*f**2 - 9. Let q(u) be the second derivative of a(u). Determine n(q(d)).\nAnswer: -d**4 + 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*x, y = 9*x - 11*x + 220. What are the prime factors of y?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*q + 27218 + 23182 = 43*q. Calculate the remainder when q is divided by 197.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*d + 88, d + 3*h = 5 + 19. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2274 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/51)\/(2\/(-6))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 308607?\nAnswer: 7097961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/13 - 82*o\/13 - 228\/13.\nAnswer: -2*(o + 3)*(o + 38)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -21. Suppose f - 60 = -f. Suppose 3*g - 126 = -r + f, 174 = 3*g - 5*r. Calculate the remainder when g is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151012724 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 162, -19, -8.\nAnswer: -19, -8, -2, 0, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*h + 2394 = 92*h. Solve h*g - 13 = 29 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.7567 - 3.780831. Round c to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**3\/2 + 213*w**2\/2 - 5490*w + 54432 = 0. What is w?\nAnswer: -108, 16, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 60 = 2*t. Suppose 0 = -5*i + 19 + 6. Calculate the remainder when ((-10)\/t)\/(4\/(-78)) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + -14143155?\nAnswer: -14143144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m - 20 = 12*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 8*i**2 - 2*i**2 + i**2 - 3*i**2 + 4*i**2 + i**2 + i - i + (3 + 1 - 2)*(0*i**2 - i**2 + 0*i**2) - 2*i**2 + 1 - 1)*(0*i - i**2 + 0*i**2 - 2*i).\nAnswer: -7*i**4 - 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2539, -0.1, 0.1?\nAnswer: -2539","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321954.94 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 8*h - 465. Calculate the smallest common multiple of 72 and h.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 10*v**2. Let r be d(10). Suppose r*y - 295 = -5*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 2*n - 1. Let u be r(-3). Suppose 2*v = -a + u*a - 12, v = -3*a + 1. Solve a = 2*z - 0*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88230.\nAnswer: 2, 3, 5, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 438, 436, 434?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.496834 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/831 in -2\/5, -2\/3, -3\/5, -0.3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*i**5 + 103588*i**4 + 1020847*i**3 + 1648266*i**2 + 841328*i + 110336 = 0. Calculate i.\nAnswer: -6896, -8, -1, -2\/3, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -254, -0.0105, -0.3, 0.2, -5 in decreasing order.\nAnswer: 0.2, -0.0105, -0.3, -5, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 9 + (0 - 3 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3050542 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 6 = 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5618, -5425, -5242, -5075, -4930, -4813?\nAnswer: -4730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -10. Suppose -6*s + 90 = -198. Suppose -14*l + s = -2*l. Which is greater: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/(o\/o**1*o))\/o*o))\/(o\/o**(-2\/9)))\/((o**(-1)\/o)\/((o\/((o*o**(-5))\/o))\/o*o)) assuming o is positive.\nAnswer: o**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2.02. Let g = -0.82 + t. Let v = 0.7999941 + g. What is v rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.08138 nanograms in micrograms?\nAnswer: 0.01308138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 573 + -552. Calculate the remainder when 759 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -5.5.\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, b: 3, d: 1, p: 5, v: 1}. What is prob of picking 1 p and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46\/3 in -0.2, -3, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3120 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3162.\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-3))\/((-45)\/(-27)). Put b, -2, 4 in ascending order.\nAnswer: -2, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/2 - 1877*d\/2 + 109285.\nAnswer: -(d - 110)*(d + 1987)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (9 - 15) + 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*n + 2534, -102 - 539 = -n - 3*a. Let d = n + -366. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s + 0*s - 2*s)*(5353*s + 2389*s - 3185*s + 11518*s) to u*s + c + f*s**2 and give f.\nAnswer: 16075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -477ab4 + -68?\nAnswer: -477b2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*g + 24812 = -127*g + 179*g - 7038 for g.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*d = 48156, 0 = -14*d + 12*d + 8. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2663\/1088 - 9\/64. Calculate the common denominator of 43\/3 and c.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 3761816271482?\nAnswer: 3761816271481.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -11. Suppose 13 - q = 3*m. Let w be m + -5*(-10)\/25. Which is the closest to -0.3? (a) -1 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4460 and 1548735?\nAnswer: 6194940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, -0.1, -2 in descending order.\nAnswer: -0.1, -2, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 28 - 21. Calculate the highest common divisor of 28 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*5\/(-15)*-6. Solve w*x - 3*x - 5*n - 15 = 0, -n - 7 = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 2) + (-21615)\/8932. Let l = b - -7\/29. Find the common denominator of -73\/18 and l.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 9*i + 27 = 4*w, w = 4*i - 40 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 1. Let r(u) = 7*u + 14. Let f(i) = -6*p(i) + r(i). List the prime factors of f(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179197877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3 - 3) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h = 207*h + 2076 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/(-7) + 60 + -34.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.6 - 1.6. Which is the nearest to -0.58? (a) u (b) 2\/15 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1429 - 1429 - 14*x**2)*(x - x + x**3) + (-x**5 + 4*x**5 - x**5)*(0 + 0 + 1).\nAnswer: -12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b30a + 2?\nAnswer: -b308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*c + 2*c. Suppose c*j + 2*h = 4, 2*j - h = -4*h + 11. Let p be (-2)\/j*-1 + 41. Calculate the greatest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + d + 756 = -2*d, 0 = 5*r + 3*d - 1292. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 - -2.5. Sort k, -1\/2, -4, -0.2 in ascending order.\nAnswer: -4, -1\/2, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b - 8. Let q be (-815)\/(-25) + 3 - 6\/(-15). Suppose q = 3*y - 3*h, 0 = -3*h + 7*h + 12. Suppose 0*w = t + w + y, -5*t = -4*w + 18. Give c(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 6:22 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.098 + 0.398. What is the nearest to 2 in -3\/4, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1389, 2799, 4221, 5661, 7125?\nAnswer: 8619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79189763327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961060562.\nAnswer: 2, 7, 11, 127, 49139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 0. Suppose 2*g - 8 - 34 = 0. Solve r*c - 1 = -g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42220 divided by -10555?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42678440 and 22?\nAnswer: 469462840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 432029489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -122c4c - 4?\nAnswer: -122c52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -168*h + 30 - 88*h + 63*h - 30 as r + a*h and give a.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 10*z**2 - 10*z - 11. Let o be a(11). Solve 4*l + o*l = 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**3\/6 - t**2 - 5*t. Let q = -8 + 4. What is the lowest common multiple of v(q) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1859\/560 + 3\/80. Suppose 4*c + c - 10 = 0. Find the common denominator of 510\/(-224) + c\/(-7) and y.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000240958 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 4 - (3 + 7 + 5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b8 - -43a32?\nAnswer: 43847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-6)\/(-36)*(-1 - -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/1514 and 50\/12869.\nAnswer: 25738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 12:52 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 10*n + 3*j = -10, -3*n + 15 = j. Suppose -2*z + n*c + 21 = -35, 3*z = 3*c + 75. What is the greatest common divisor of z and 1081?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1276 + 6791.984?\nAnswer: 5515.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8899 (base 13) to base 10.\nAnswer: 19054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 218\/7? (a) 5 (b) 38 (c) 105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.05, -0.1, 0.52, -3 in descending order.\nAnswer: 0.52, -0.05, -0.1, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from iirir?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(4\/7)\/(u*u*u**(-2\/21)*u*u*u*u))\/((u\/(u**(-2\/27)\/u))\/(u\/(u*u**14*u*u))))**(4\/29) assuming u is positive.\nAnswer: u**(-2528\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 574400.5 rounded to the nearest 1000?\nAnswer: 574000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 8 = 2*s - 4*s, s + 5 = 2*m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893 is divided by 183?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483410963.\nAnswer: 7, 17, 67, 60631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 46*i - 490. Let o be v(-9). Sort 63, 8, o in increasing order.\nAnswer: o, 8, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -3*a**4 + 37*a**3\/3 + 112*a**2. What is the derivative of r(s) wrt s?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 3*h**2 - 2*h + 4. Let b be f(3). Let l(c) = 2*c**2 + c - 1. Let s be l(b). Calculate the greatest common divisor of s and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -1, 0, -3, 4 in decreasing order.\nAnswer: 54, 4, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4}. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + w - w**2 + 0*w.\nAnswer: -w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + 16050277?\nAnswer: 16050290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1384 - 1584.14171?\nAnswer: -2968.14171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from rrbfrrfqrkqfqf.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1768.413 * 3.\nAnswer: -5305.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 17*f - 5. Let w = 681 + -690. Let x(q) = 4*q - 1. Let k = 6 - 4. Give k*b(r) + w*x(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 27*x**2 - 33*x - 15. Give a(-26).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*c - 39868, -143 = -3*c - 167. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ba5 - 49?\nAnswer: -1bee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*y = 122, 4*j - 2*y + 4*y - 498 = 0. Does 31 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 - 30*v**2 + 116*v + 702. Give x(-17).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -2, 2, -776, 4.\nAnswer: -776, -27, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j = -90*j + 550506. List the prime factors of j.\nAnswer: 19, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d5f (base 16) to base 7.\nAnswer: 12660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(13) - (sqrt(208) - sqrt(13))) - (sqrt(13) + sqrt(52) + -5).\nAnswer: -sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 109786030?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, c: 2, l: 3, a: 8, n: 3}. What is prob of sequence all?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*b - 5486, 89*b - 3*q = 92*b + 4107. Let i = b + 2463. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*x + 523 = 447*x - 752 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/2))**41\/(o*(o*(o\/((o\/(o*o\/(o**1\/o)))\/o*o))\/o)\/o*o**0) assuming o is positive.\nAnswer: o**(119\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5077076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68.9 - -69. Let t = -0.23 + 0.05. Let p = 0.18 + t. Sort f, p, -2\/7 in decreasing order.\nAnswer: f, p, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1419 is divided by 74?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, j: 9, p: 1, v: 1}. Give prob of sequence pvj.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.6 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 6*v**2 - 7*v + 2. Let r be c(7). Let f(p) be the second derivative of -4*p**3\/3 + p**2 - 7*p - 2019. Let z(h) = h. Give r*f(g) + 18*z(g).\nAnswer: 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1535442, -4, -5 in decreasing order.\nAnswer: -4, -5, -1535442","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24738 is divided by 143.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 13 = 2*y, 170*g = 168*g - 5*y + 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135355*y**2 + 601 - 601 + 135332*y**2.\nAnswer: -23*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -668 - -657. Let m = -11.5 - q. Which is the closest to 2? (a) m (b) -0.06 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21929, 87747, 197441, 351011?\n\"Answer: 21938*b**2 + 4*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*j = -71*j + 12. Suppose -716 = -j*v + 678. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -2.141464.\nAnswer: -2.041464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 2*l**2 - l - 1. Let v be b(2). Let h(j) = -2*j + 6. What is h(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.9 and 41.\nAnswer: 323.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4626*f*p**4 - 12*f*p - 4914*f + p**4 wrt p.\nAnswer: 55512*f*p**2 + 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 1.2, -3.1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - 1. Suppose -74*s + 64*s = -40. Put s, 0.3, b in descending order.\nAnswer: s, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179471, 179473, 179475?\nAnswer: 179477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + -5c19?\nAnswer: -5c06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 15*c. Let l(w) = 24*w. Calculate l(m(i)).\nAnswer: 360*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 8724?\nAnswer: -8720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 11684384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28233, -28897, -29561, -30225, -30889, -31553?\n\"Answer: -664*k - 27569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((16\/(-10))\/1)\/((-12)\/4170)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 539 or 2?\nAnswer: 539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134164 is divided by 3946.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5615905 at most -5615906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 4, a: 15}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5\/g**(4\/3))\/(g**(1\/4))**9 assuming g is positive.\nAnswer: g**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from babbbblbbabbmb. What is prob of sequence am?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3478)\/(-111))\/94)\/((-1)\/24*1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 8:14 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.67984 * -1.\nAnswer: -0.67984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 779540000 to the nearest one million.\nAnswer: 780000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**7)\/a)\/((a\/(a**(7\/6)\/a))\/a)*a**(-4)\/a**(6\/13))**(-12) assuming a is positive.\nAnswer: a**(1762\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -5 (c) 116 (d) 55.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/4 (b) -0.3 (c) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 226641319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y**3 + y)*(-15783 + 113*y + 15783) + (-7*y**3 + 5*y**3 - 14*y**3)*(y + 2*y - 2*y + (0 + 3 - 4)*(-y - y + 0*y)).\nAnswer: 65*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1485855 is divided by 2841.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1895*r**2 - 1895*r**2 - 154*r**3 + 3*r**2 - 3*r**2 + r**3 + (0*r**2 - 4*r**2 + 2*r**2)*(-4 - 2*r + 4) - r**3 - 2*r**2 + 2*r**2)*(2*r**2 - 2 + 2).\nAnswer: -300*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 252601?\nAnswer: 2\/252601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2 - 1351*n - 74379. What is d(-77)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -3, 1\/34, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w + 10 = 0. Let n be w\/4 + 9\/2. Suppose 14 + 11 = n*x. Which is the closest to 0.1? (a) 1\/3 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 37 - 349. Let b = s - 45. Suppose -4*l = d - b, 2*d = -0*l + l + 3. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 103*b**2 - 297*b + 263. Calculate k(-100).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7653.6 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i**4 + 18*i**3 - 17*i - 8613 wrt i?\nAnswer: -12*i**3 + 54*i**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7980)\/304)\/((-145)\/(-232)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 - -277.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {n: 5, b: 8, x: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 24. Let v be ((-7)\/(-63))\/((-4)\/(-8)). Put f, -5, v, 11 in ascending order.\nAnswer: -5, v, f, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by 1\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 42 + 176 - 24)*(9*r**4 - 11*r**4 - 25*r**4) in the form m*r + b*r**4 + s*r**3 + y*r**2 + w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 0. Suppose -6*h + 5 = -13. Suppose -3*x - h*o = 12, 0 = x + x - 4*o - g. Which is the smallest value? (a) 4 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 <= 4157130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 2\/(-4 + 2). Let d = 9 - 4. Suppose -d*k + 7 + 33 = v. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90 (base 12) to base 4.\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w + 1. Let n(r) = 1. Let h be ((-8)\/20)\/(9\/45). What is h*n(f) + d(f)?\nAnswer: -6*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2558\/7 + -366. Sort 3, 0.27, q.\nAnswer: q, 0.27, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5698370?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3989279l to millilitres.\nAnswer: 398.9279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9436038 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -12 - 1) + (-6 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 11:38 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39231277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-3 + 2)\/(-1). Let p be ((-2)\/4 + 0)*u. Let q = 6 + p. Let j(v) = -3*v + 6. What is j(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-490)\/(-105)*9\/(-6))\/(2\/(-10)). What is the greatest common divisor of s and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 14*b. Let z(j) = 9*j**2 - 12*j**2 + 2*j**2. Determine z(t(v)).\nAnswer: -196*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 5*l. Suppose 8 = -5*w - 4*k + 43, 4*w = -3*k + 29. Suppose -w*m - 10 = -54. What is v(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4036, -13449, -29146, -51127, -79392, -113941, -154774?\n\"Answer: -3142*x**2 + 13*x - 907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsz when three letters picked without replacement from {d: 1, w: 2, z: 3, i: 2, s: 6, y: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = 3*t, u + 3 - 11 = 4*t. Factor 9\/7*m**3 + u*m**2 - 12\/7*m + 3\/7*m**4 + 0.\nAnswer: 3*m*(m - 1)*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7336833 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is c2c (base 14) in base 15?\nAnswer: a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 213*j + 41. Let q(f) = 116*f + 20. Let t(p) = -6*l(p) + 11*q(p). Let k(r) = -24*r**2. Determine k(t(s)).\nAnswer: -96*s**2 - 2496*s - 16224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 5*s - 25 = 8*m, 0 = 4*m + 2*s + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a**3 + a**2 + a + 5. What is w(2)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*o - 47*o - 20*o)*(0 - 3 - 4) to a*o + q and give a.\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 8 = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2210*y**3 - 127*y**2 + 65*y**2 + 62*y**2.\nAnswer: 2210*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 53 (b) 13148 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 5)*(-2*h + 3*h - 2*h)*(3*h - 6 + 6 + 4*h**3).\nAnswer: 24*h**4 + 18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 343230222?\nAnswer: -343230214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37423727 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -150a4b + b?\nAnswer: -150a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n**2\/10 + 284*n - 520 = 0 for n.\nAnswer: -260, 20\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express j - j - j + (-1 - 4 + 2)*(-6*j + 3*j + j)*(-15 + 7 + 1) as i*j + g and give i.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i + 27. Let t be 6\/i + 170\/3. Let j be (t\/(-18))\/(-2) + -2. Sort -11, j, -4 in increasing order.\nAnswer: -11, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**3 - t**3 - 4*t**3 + (-28 - t**2 + 28)*((1 + 1 + 0)*(11 - 11 - 5*t) - t - 2*t + 6*t) in the form c*t**2 + h + w*t + u*t**3 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.20758 millilitres in litres?\nAnswer: 0.03620758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 4570, -2\/15, -2\/25, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 46 = -136. Calculate the greatest common divisor of 30 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(0 + (1 - -2)). Suppose k - u = -2. Does 8 divide (-67)\/(-4) - k\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87939851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -129930418.58 plus 14533?\nAnswer: -129915885.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001935220793 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 2*q - 2. Let j be s(2). Suppose -2*k = 3*z + k - 3, 3*z = -5*k - 3. Let p be 0 - (z + -1 + 0). Put 1, p, j in decreasing order.\nAnswer: j, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Suppose -l + 0*l = -2*x - 3, o = -2*l - 4*x + 22. Suppose 0 = l*w - 1826 + 6. Round w to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*f - 34573 + 4325 - 7062 = -289*f for f.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 2:53 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p = 0. Let x be 6\/(2 + 1) - p. Suppose 3*d + 20 = 3*j - 4, 28 = x*j - 5*d. Solve -4*k - j = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - 16. Let t = a + 23. Solve -2*h + 3*n = h - 15, -2*h - 10 = t*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7462 = 12*i + 2818. Suppose 2*l + 3*g = 781, -l + 4*g - 13 = -i. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97188242341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09786 rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**6*(y\/y**(-1\/2)*y)\/y*(y**(1\/4)*y)**(-20\/3) assuming y is positive.\nAnswer: y**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 84 = 3*c - 105, 2*c = 2*x - 126. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -13. Let g be (-12)\/(-6)*q\/4. Suppose -8 = -5*k + g*y - 3, -5*k = 3*y - 5. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -962978 + -3?\nAnswer: -96297b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*q + 22, o + q + 2 = 16. Suppose -438 + 138 = -o*l. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 10 + 24 = 0. Solve 0 = -p*a + 3 - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*21\/(-168))\/(-4 - 95\/(-30))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1225 is divided by 407.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32997 - -33000. Solve 0 = r*d - 5*m + 28, -8 = 73*d - 72*d - m for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/331, 0.5, 5 in increasing order.\nAnswer: 4\/331, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4616*y**3 - 1646*y**3 + 1975*y**3.\nAnswer: 4945*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1342332, 3\/5 in ascending order.\nAnswer: 1\/3, 3\/5, 1342332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-20)\/k)\/k)\/(k**(-2\/3)\/k))\/((((k\/(k\/(k\/k**13)))\/k*k*k)\/k)\/k**(2\/13)) assuming k is positive.\nAnswer: k**(-319\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 8, 1, -0.155, 2\/9 in decreasing order.\nAnswer: 8, 4, 1, 2\/9, -0.155, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-2\/37))*u)\/u**(7\/5)*u**(2\/27)\/u**(-14) assuming u is positive.\nAnswer: u**(68032\/4995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0.2 (c) 4 (d) -3\/7 (e) 3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*6*((sqrt(153) - (1*sqrt(153) + sqrt(153)))\/sqrt(9) + sqrt(17) + sqrt(51)\/sqrt(3) + -1) + 4 + -2)**2.\nAnswer: -1344*sqrt(17) + 10576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*l = t - 4, 0 = 3*l - 3. Solve -4*g = t*n - 17, 2*g - 4 = -3*n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 372 + -572. Suppose 3*c - 3*r + 4*r + 593 = 0, 4*c - 4*r = -812. Which is smaller: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/3)\/(3\/27). Let o = -51 - -55. Solve o*p = 3*t - u, 21 - 6 = -5*p + 3*t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1852 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5 + 18*v**4 - 310*v**3 + 272*v**2 + 309*v - 290 = 0 for v.\nAnswer: -29, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 45878846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3755450*d + d**3 + 5128*d**2 - 3755450*d - 438*d**5 wrt d?\nAnswer: -26280*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14\/6 + (-9224)\/(-3) + -6?\nAnswer: 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Let j be -1*2 + (-3 - z). Let y be (-6)\/(-4)*(-3)\/j. Which is the closest to -2\/5? (a) y (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1. Let s(l) be the second derivative of 3*l + 0 + 1\/6*l**3 - 3\/2*l**2. Let w(b) = 3*n(b) + s(b). Let q(a) = -3*a. Calculate q(w(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4613221 (base 7) in base 5?\nAnswer: 121344411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**2 + 6*x + 1. Let y(t) = -7*t**2 + 6*t - 2950. What is -u(p) + y(p)?\nAnswer: -3*p**2 - 2951","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + i = 5, 0*i - 2*i - 15 = -m. Suppose 30 = m*y + 5*y. What is the second smallest value in y, 2\/9, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (-67)\/(-13) - 67\/(-13). Suppose m - o*m + 20 = 0. Sort 3, 8, m in decreasing order.\nAnswer: 8, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - (55 - 30 - 37).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 2065827419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18658440?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l - 9. Let v be q(9). Let p be v\/(-5)*50\/15. Let x = 164 + p. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d = -23 + 983. Let i be (-5)\/25 - (-4336008)\/d. Round i to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/10*1)\/(2\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -10. Let q = g + 3. Which is greater: q or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 7*l**2 + 0*l**2)*(-3*l**3 + l**2 - l**2) + l**5 + 0*l**3 + 0*l**3.\nAnswer: 19*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-28)\/8)\/7)\/((-2)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 351*n - 9472. What is x(27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/4 + 33493*m**3\/4 + 280428515*m**2\/4 - 280462009*m\/4.\nAnswer: m*(m - 1)*(m + 16747)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (1 + 5 + 0 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.7 + 231. Let p = 278 - j. Let y = -14 + p. What is the closest to -0.1 in 3, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*d + 1, -28*w - 9 = 5*d - 24*w. Let a(b) = -b**2 - 3*b + 3*b + 5 - 3*b. Let r(u) = u - 1. Calculate d*a(i) - 4*r(i).\nAnswer: i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.6 - 5.514. Round l to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8*y = 42. What is the units digit of (-3)\/(-6) + -1*111\/y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 6:25 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -11. Suppose 3*i = 4*u - 197, i + i + u + 113 = t. Let b = i + 90. What is the remainder when b is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -217.2215 and -0.3.\nAnswer: 65.16645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 12) to base 14\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*k**2 - 653*k**2 + 572*k**2 + 602*k**2.\nAnswer: 889*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384)*-1)\/sqrt(8))**2 + (sqrt(48) + 3 + sqrt(192)\/sqrt(4) - sqrt(48)) + -2 - ((sqrt(3)*-1*2*5 + -1)**2 + 2).\nAnswer: -254 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + -18 + 5 + 16. What is the nearest to d in -3, -0.6, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/155, 0.5, 78, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 439 - 400. Is (-1365487)\/(-299) - (18\/t)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (23 - 16)*(1 - -2 - 4). Let h(v) = -v**2 - 6*v + 7. Calculate h(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 12 = 13. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2874.885 hours?\nAnswer: 119.786875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjhcccjccjhchh. Give prob of picking 1 j and 1 c.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 85*a + 2*a**2 - 3*a**3 + 175*a - 89*a in the form j*a**2 + k*a**3 + u*a + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -20*c**2 - 81065*c - 20265 = 0.\nAnswer: -4053, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -5*o - 51 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 5*v**2 + 13*v - 61. What is the remainder when 8 is divided by o(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 9:47 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4897, -4823, -4699, -4525?\n\"Answer: 25*l**2 - l - 4921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4672176982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57546 - -204767. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from yooooypoyoooooyyoyo?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 43. Let f = 25 - g. Solve -f*p + 2 + 4 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6*g - 3*g = 208, -3*i + 2*g = -139. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 12 = 20. Suppose 0 = p*o - 102 - 58. Solve -2*r = 0, -3*r = -4*w - o*r + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/(-42))\/(1\/18). Let y be (j\/9)\/((-4)\/(-18)). Let k be (1 + (-1)\/(-3))\/(4\/(-6)). Put y, -6, k in decreasing order.\nAnswer: k, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:37 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -159*q**3*s**2 - 3*q**2*s**2 + 130*s**2 with respect to q.\nAnswer: -477*q**2*s**2 - 6*q*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/9)\/(4329475\/36072 - 120).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*a + 121*a = -214*a + 28416 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967790713.\nAnswer: 509, 1901357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.178 - 0.198. Let u = -6.02 + 6. Let d = u - v. What is the nearest to d in 0.5, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50946 is divided by 1498?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a decade?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 244, 0.5, -3, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -36 (b) 51 (c) -0.11 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37770512749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f - 4. Let r be 8\/(-3*10\/15). Let t be 35\/(-14)*r\/2. Let c(b) = 13*b + 9 - b - t*b. Give -2*c(o) - 5*k(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b**3 + 4*b**2 - 18*b + 23. Let p(j) = 13*j**3 - 9*j**2 + 35*j - 45. Let q(i) = 11*o(i) + 6*p(i). What is the tens digit of q(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 553\nAnswer: -552.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 950611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/78*-181119 + (-3)\/39 is divided by 166?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 6032025?\nAnswer: 6032024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348 - 21*k + 31*k + 21*k + 13*k.\nAnswer: 44*k + 348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.245 and 11.\nAnswer: 2.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3*d + 2*d)*(1 + 9 + 0) + (-2 + 2 + 3*d)*(-2 + 2 - 2).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 99 = -3*g, 4*j + 12*g - 218 = 10*g. Calculate the remainder when 1366 is divided by j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 86319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*q - 213*q - 181*q + 1373*q + 916*q - 2*q**2.\nAnswer: -2*q**2 + 1689*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -9. Let t be 4\/v*1*-3. Put 3, -1, t in descending order.\nAnswer: t, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -j + 3425000, -4*s + 5*j - 5130990 - 8569010 = 0. What is s rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -5*i + 19, 2205*i = 2204*i - y + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -19*t**3 - 26*t**2 + 103*t - 6. What is f(-5)?\nAnswer: 1204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*j*u**3 - 639*j*u**2 + j*u - j - 1291891*u**3 - 19*u**2 + 5*u + 4 wrt u?\nAnswer: -336*j - 7751346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 241 - 114 - 116.\nAnswer: 3*l + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 65994 (base 13) to base 5\nAnswer: 21341433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22514 + 31575. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -105*n - 4. Let z(t) = -578*t - 23. Let c(u) = 11*m(u) - 2*z(u). Let r(j) = -j. Let w = 5 - 4. Give w*c(s) + 3*r(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + 32\/40 + (-2)\/(-10). Solve 8*d - 5*d + j = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 85218.48 micrometers?\nAnswer: 0.00008521848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 129.72.\nAnswer: 64.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**3\/2 + 1737*v**2\/2 - 259065*v\/2 + 2193075\/2 = 0.\nAnswer: 9, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lljl when four letters picked without replacement from ljjlljl?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 3*d + 40. Solve -d*f = -l - 28, 0 = -5*l - 5*f + 1 + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*f + 8 = -2*d, 3*d - d - 5*f - 5*f = -82 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 5 = -7*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 668 and (-2)\/(2\/(-15))*196\/245?\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8948155 equal to 8948154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18.027 + 0.6\nAnswer: 18.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 38552 = 2*q, 2*t = -3*q + 17876 + 20701. What are the prime factors of t?\nAnswer: 3, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 0. What is the common denominator of z\/6*206\/16 and (-1)\/(-4) + 362\/40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-54)\/(-6))*2*5\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and 32760?\nAnswer: 32760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 45 - 213. Let j = 8 + 14. Calculate the remainder when x is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 620, 2145, 5162, 10181, 17712, 28265?\nAnswer: 42350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 2*a - 4. What is the remainder when 64 is divided by s(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y\/(y\/(y*y\/y**6)*y))\/y)*y**(-6))\/(y**(-1))**12*y**(-6)\/(y*y**(-5\/4)*y)*(y\/(y*y\/(y*(y\/((y**(2\/7)\/y)\/y))\/y)))\/y**0 assuming y is positive.\nAnswer: y**(251\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 103403 (base 11) in base 7?\nAnswer: 1256412","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 12:49 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9275.4 millimeters?\nAnswer: 0.0092754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 7.7404.\nAnswer: -0.38702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*r**3 + 14*r**2*t**2 + r*t + 1866*t**2 wrt r?\nAnswer: -66*r**2 + 28*r*t**2 + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2))**(5\/6)*(q\/q**(-3))\/((q\/(q**5*q)*q)\/q))\/((q**(-1\/3))**(-2\/71)*(q**(-2\/7)*q)\/q**1) assuming q is positive.\nAnswer: q**(3782\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3 + 0 = 0. Let q be (3\/1)\/(0 + 1). Suppose -q*d + 7*d = 0. Sort d, s, 1 in ascending order.\nAnswer: s, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11936, -47723, -107362, -190853, -298196?\nAnswer: -429391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 39*p**2 + 0*p - 3*p in the form r*p + u + a*p**2 and give a.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8507274123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**3 - 3*d**2 - 4*d - 1. List the prime factors of t(3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1287871 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 76 times 56344\nAnswer: 4282144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*i + 50*i - 3*i**2)*(-1 + 0*i + 0*i - 2*i).\nAnswer: 6*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7417 and 23.3?\nAnswer: -17.28161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(18)\/((sqrt(36) + sqrt(36) + sqrt(900))\/sqrt(4)) + (sqrt(288) - -5*(sqrt(288) + 2))**2.\nAnswer: 10081*sqrt(2)\/7 + 10473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1159.293 + -170.663. What is m rounded to the nearest 10?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35445268 to the power of 1\/2, to the nearest integer?\nAnswer: 5954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 931*d - 1 + 1.\nAnswer: 931*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + 24 + 23 + -2 - (3 + 7).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -179 + -1 + 0 + 3. Calculate the common denominator of (1 - d\/12) + -2 and -29\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4835 = -2*u - 531. Let p = 5739 - u. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 + -83. Let r be 3 + -1 + (-4 - t) - -1. Suppose -r*q + 0 = -10. Let b(y) = -y + 3. Determine b(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 + -23494329241?\nAnswer: -23494329451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -1\/2 (c) -0.047 (d) -3 (e) -0.4 (f) 0.4 (g) -0.524\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 255*i - 526*i + 259*i. Let n(g) = -10*g + 2. What is h(n(c))?\nAnswer: 120*c - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + a. Let h be t(1). Is 7 a factor of 1\/(h\/21*-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*n + 2*n**2 + n**3 + 47*n - n**4 to v*n**4 + h + b*n + u*n**2 + l*n**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*f - f - 21528, 3*f = 3*i + 32265. List the prime factors of f.\nAnswer: 3, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.4, -102, 2.8?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/180*30\/9. Let n = -4.9 - -5. Let l = n - -0.1. What is the third smallest value in 1, d, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 26*g**2 - 5*g - 3. Let j be (-27)\/(-45) + (-204)\/(-10). Let y be j - 18 - (6 + (-1)\/1). What is the hundreds digit of n(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 9:14 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 805987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 11)\/(18\/12 + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 175 + -281\/2. Are 34 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(5\/3) + (-8)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1437525 and 216?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxenrrnrxxxnex. What is prob of sequence er?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -100212020 (base 3) in base 11?\nAnswer: -5445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - c + 4. Let l be o(0). Suppose l*d = 104 + 36. Suppose 0 = 2*f + 2*m - 38, 3*m + d = -f + 2*f. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 166 and 747?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 16*k - 374. Let c be u(-13). Solve -i - 23 = -5*j, c*i = -j - 2 - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 5:21 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d, q - 7 + 2 = 3*d. Let n be 1\/q - (-5)\/(-25). Suppose n = 4*u - 4*b - 64, 4*u = 2*b - 5*b + 29. Calculate the greatest common divisor of u and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (((-206)\/(-220))\/(18\/(-45)))\/2 and -29\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -888 divided by -2?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v**3 + 4*v**2 + 2*v. Let j(o) = o**3 - o**2 - o + 1. Determine a(d) + 2*j(d).\nAnswer: -8*d**3 + 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/18)*(((j**9\/j*j)\/j)\/j)\/j)\/(j\/(j\/(j**10*j)*j))**(1\/3) assuming j is positive.\nAnswer: j**(49\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 2, 7, -40, -923 in decreasing order.\nAnswer: 7, 2, 1, 0, -40, -923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 49.0000044. Round m to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 280360928 to the nearest integer?\nAnswer: 16744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -16. Suppose 5*x - 40 = -4*h, 0*x = -4*x - h + p. Suppose 2*a - 3*q + 13 = x, 3*a - 6 = -2*q. Solve a = -2*d - 2*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 24*w**2 + 11*w + 17. Let x(s) = -s**2 + 1. Let b(f) = r(f) - 4*x(f). Let d be b(-13). Suppose 0 = 5*m + 640 - d. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**2 - 11*o - 4. Let l(t) = 3*t - 12. Let g(k) = 4*b(k) - 3*l(k). What is the derivative of g(d) wrt d?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3711475 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.63 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11b4 (base 13) to base 7\nAnswer: -10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10000001100111101110100 (base 2) to base 10\nAnswer: 4247412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from qkdyqkq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 4*t + 7. Let v be i(3). Suppose 0*n = v*n. Solve n*j = 2*j + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 23 - 106)*(29 + 11*q - 29).\nAnswer: -1683*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8743 + 7652. Suppose -h + u = -1207 - 2072, 5*h - u = v. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4012 + 4011. Let v = 23 + -36. Let f = v - -8. Which is the second smallest value? (a) x (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-4 - -19) - -21\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2345 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, v: 7, g: 2}. What is prob of picking 4 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936305 is divided by 189.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = c + 179, 5*o - 2*c = 73 - 300. Let t = -38 + 3. Let h = t - o. Calculate the greatest common divisor of h and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512745?\nAnswer: 3, 5, 34183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 202, 773, 1888, 3727, 6470?\nAnswer: 10297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -3fd?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 341, 1110, 3153, 7094, 13557, 23166, 36545?\n\"Answer: 104*c**3 + 13*c**2 + 2*c + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 15. Let p(f) = f + 2 + 0 - r*f + f. Let z(g) = g**2 - g - 7. Let u be z(-3). What is p(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -0.2, 5, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -15594280?\nAnswer: -15594280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37031684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2275 and 735.\nAnswer: 47775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16\/12*(-3702)\/(-4).\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*w = -2. Let u = 7 - w. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 15*j = 3*j. Which is the second smallest value? (a) j (b) 3.6 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 - -126.4. What is the biggest value in k, 0, 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -428, -2?\nAnswer: -428","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 186*a - 191*a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 7. Suppose -2*o - 5 = -25. Suppose 0 = 18*w - 13*w + 3*y - o, -4*y + 2 = w. Solve -3*b + 7*b - x*u = 5, -w*u = b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**2 - 2*b**2 + b**2)*(3 + 0 - 2 + (-1 + 1 + 8)*(1 + 1 - 3) + 0 + 1 + 3)*(-1 + 1 - 2*b) to the form m*b**3 + i*b**2 + g*b + y and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 - 2)*(0*f + f - 3*f) + f + 3*f - f + (4 - 5 + 3)*(0 + f + 0))*(-6 + 7*f + 8 - f).\nAnswer: 66*f**2 + 22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 447 = -470. Suppose -15*f + 22 = -l. Solve y = -f*c + 14, -3 = -4*y + c + 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10557 and 759.\nAnswer: 116127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 2:55 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2.4. Let t = -3 - -2. Let c = 793\/7 - 113. What is the closest to t in c, s, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u + 3*c - 80, -2*u - c + 32 = 0. Let o be (-4 + 0)*(-6)\/8. Solve -t - u = o*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**2 - 2*j - 4. Let b(p) = 84*p**2 - 35*p - 70. Let s(z) = -6*b(z) + 105*l(z). Let y(x) = x. Calculate s(y(c)).\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6040, -6940, -8430, -10498, -13132?\nAnswer: -16320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1491 divided by 1\nAnswer: -1491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 295\/783731 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -124400?\nAnswer: -3\/124400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/8)\/g)\/(g\/(g**(-1\/9)*g)))\/((g\/(g\/g**17))\/(g\/g**(-10)*g)) assuming g is positive.\nAnswer: g**(-449\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161 - -3223\/20. Let m(s) be the second derivative of 3*s**2 + 5\/2*s**3 + s**4 + 0 + q*s**5 + 4*s. Suppose m(x) = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d + 194 = d + 554 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 656655?\nAnswer: 5253240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40222 and 132566.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, -3\/8, 0.4, -691, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4128.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 2. Let t be (-20)\/(-10)*(1 + 0). Let w be u(t). Solve 0*i + 5*f + 17 = -w*i, f + 2 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1822.1+-2\nAnswer: -1824.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-120)*2*(17160\/252)\/26?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 263678 + -1318382\/5. Factor 18\/5 - 21\/5*k - 1\/5*k**3 + c*k**2.\nAnswer: -(k - 3)**2*(k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 0.2, 39, 13162 in decreasing order.\nAnswer: 13162, 39, 0.2, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4354, -2, 2 in decreasing order.\nAnswer: 4354, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74106 and 1710882.\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 702672743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 - 38*g - 6. What is p(-19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)*2 - sqrt(270))\/sqrt(9))\/(sqrt(1210)*-2 + sqrt(1210)) - (sqrt(84)*-4)\/(sqrt(7)*-2*-2).\nAnswer: 21*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(6\/(-18)))\/(30\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c + 18. Suppose 0 = 5*i - 2*b - 17, 104*b = i + 99*b - 8. What is p(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 11*a - 13. Let o be y(-9). Suppose -o*j = -5*t - 1 - 14, 9 = -j + 5*t. What is the lowest common multiple of 1 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34596)\/(-189))\/62 - 5*(-3)\/(-9)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -5*z + 21, -167*i + 205*i - 91 = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*u + 1, -5*u + b = -4*u - 1. Suppose -2*f = -5*x + 3*f - 377495, 0 = u*x - f + 226499. What is x rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (1924\/16)\/((-10)\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*h + 142 = 0, -n + 0*h = 4*h - 96. What is the highest common divisor of 1007 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**4 - y**2 + y - 2. Let p(f) = 675*f**5 - 8*f**4 + 2*f**2 + 2122*f + 4. Let u(v) = -2*i(v) - p(v). Find the second derivative of u(j) wrt j.\nAnswer: -13500*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231*4.72.\nAnswer: 1090.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 122, 318, 674, 1244, 2082?\nAnswer: 3242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -199*m - 1. Let d(c) = 24456*c. Determine o(d(u)).\nAnswer: -4866744*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2204532 divided by -3516?\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 + 9*r**2 - 2*r. Let o(l) = -l**3 - l**2. Let x(u) = d(u) + 4*o(u). Calculate x(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 20 - 18)*(4*s - 3*s - 2*s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -15, 0.176, 11, 4.6, -3 in descending order.\nAnswer: 11, 4.6, 0.176, -0.4, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2272 + 2291. Let u(k) = -k**3 + 19*k**2 - 2*k + 43. Determine u(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v + 412 = 4*i, 0 = -i - 3*v + 109. Does 25 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2136*l - 2162*l - 234 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(10 + 6 - 1)*(-2*d - 3 + 3) + 3*d - 2*d - 2*d.\nAnswer: 59*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6303449 and 1219.\nAnswer: 1219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883394407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7439197 is divided by 963?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 28*h + 141. Let k be v(6). Solve 0 = -7*n + 12 + k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -411 + 807 - 35*t**2 - 396. Let y(u) = -2*u. Calculate s(y(k)).\nAnswer: -140*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -112147 (base 8) in base 7?\nAnswer: -215522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**3 - 3*a**2 + 4*a + 2. Suppose -80*j - 7*j - 114 = -1680. What is the remainder when m(-3) is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 174960 in descending order.\nAnswer: 174960, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k + 32. Let b be c(5). Let l be (1 - (-3)\/b)*68. Let x = -68 + l. What are the prime factors of x?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2736 + -0.3736. What is the nearest to 0 in k, 0, -5, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 38013.5612.\nAnswer: -38013.5612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-246*p**2 + 26 - 72 + 23 + 23)*(-3 - 1 - 1).\nAnswer: 1230*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 5 - 7 - 11*w + 4 - 4.\nAnswer: -11*w - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -80560.5 to the nearest one thousand.\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. Suppose 2*w + y*g = 5*w - 6, 2*w + 4*g = 4. What is the second derivative of 1 - 2*u - 1 - w*u**3 wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjpjppjjpj. Give prob of picking 4 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7434821, -7434819, -7434817?\nAnswer: -7434815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-44)*-1*24\/(-99)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - 11) + (-15 - -10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.9376 kilometers to millimeters.\nAnswer: 23937600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33053 - -5?\nAnswer: -33044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1003 and 413.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -175, -145, -83, 17, 161, 355?\n\"Answer: x**3 + 10*x**2 - 7*x - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**3 + 611*k**2 + 288*k - 23930. What is y(-203)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**4\/12 - v**3\/6 - v**2. Let c be ((-1)\/(-2))\/((-5)\/(-20)). Let o be 2\/5*5\/c. What is h(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 766.1273 - 766. Round l to three dps.\nAnswer: 0.127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 36*n. Let z(v) = v**2 + 1. Let w = 380 + -383. Let c(d) = 2*d**2 - 3. Let g(l) = w*z(l) - c(l). Calculate m(g(r)).\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 197435 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a**3 - 6*a**2 - 4*a + 5. Let b(c) = -9*c**3 - 11*c**2 - 7*c + 9. Calculate 4*b(w) - 7*m(w).\nAnswer: -w**3 - 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -18) + (-4 - (1 + 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, l: 2, x: 2, o: 3}. Give prob of picking 1 m, 2 x, and 1 l.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**3 + 101*k**2 + 290*k - 392 = 0.\nAnswer: -98, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -59143*y - 7629467. Determine g(-129).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r**2 + 100221*r + 100223*r - 200437*r.\nAnswer: 12*r**2 + 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 0) + (-174 - -159).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96559 and 414814?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*q - 12048980 = -61*q + 103*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 204*g**3 + 7*g**2 + 3*g. Let q(r) = -203*r**3 - 8*r**2 - 2*r. Let j(u) = 3*q(u) + 2*w(u). What is the third derivative of j(x) wrt x?\nAnswer: -1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 11*i + 9. Let m be 2\/(-3) + 40\/15. Let c be m\/9 - 505\/45. Calculate the lowest common multiple of 8 and f(c).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 26 = 1. Suppose 41*l + 193 + 78 + 877 = 0. Sort 1, f, l in decreasing order.\nAnswer: f, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 34. Let t(a) = -a + 64. What is the units digit of t(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-351)\/65)\/(-3)*((-22)\/(-42) + -1)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 u when three letters picked without replacement from ppwpuwlp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27176 is divided by 755.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*45\/108*(-10)\/(-75).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/4)*z**7*z)\/(((((z*((z**1\/z*z)\/z)\/z)\/z)\/z)\/z)\/z**(-3\/2)))\/((z**(-2\/5)*z*z**(2\/11))\/(z**(-1\/6)*z\/(z**2*z))) assuming z is positive.\nAnswer: z**(3829\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 4 = -7*i. Suppose 0*w = -5*w. Sort -1, w, i in descending order.\nAnswer: i, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 292, 283, 268, 247, 220, 187?\n\"Answer: -3*c**2 + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 268050*x + 7233705.\nAnswer: 5*(x - 53583)*(x - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 + 10*i**2 - 11*i - 1. Let h(t) = t**3 + 5*t**2 - 9*t. Let r(u) = 2*d(u) - 3*h(u). Let p be (2\/5)\/(1\/(-10)). Calculate r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24215 + 55282 = -1089*g for g.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g + 6. Let l be x(-4). Let a(p) = 2*p**2 + 7*p - 4. Let y be a(l). Suppose -y = -f - f. What is the remainder when 36 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3693993 is divided by 100?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12077477 to the nearest integer?\nAnswer: 3475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (257\/30840)\/((-1)\/16*-4)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 11:51 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzvvnvzyvzztnntzvz. Give prob of picking 1 y, 1 t, and 1 v.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -70, -3208 in decreasing order.\nAnswer: 3, 0, -70, -3208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -7*u - u. Is 2\/2 + 4446 + (u - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2607 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1514440*o**3 + 2*o**2 - 11804*o - 5 wrt o.\nAnswer: 9086640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w. Let r(n) = -9*n**2 - 2008700*n. Give g(r(s)).\nAnswer: 9*s**2 + 2008700*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 95.8034 meters?\nAnswer: 9580.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43903876*i**3 + 43996640*i**2 - 92813*i + 49.\nAnswer: -(i - 1)*(6626*i - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/28 + 136\/14. Let j = k - 7. Suppose j*h + m = 40, -4*h + 46 = -2*m - 4. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = -11*u + 49900. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2553455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 + 6*p**4 - 2*p**4 + (3*p**2 + p**2 + 5*p**2)*(2*p**2 + p**2 - 2*p**2) + (0*p**3 + p**3 + 3*p**3)*(-3*p + 5*p + 0*p) + 5*p**4 - p**4 - 5*p**4.\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (38 - (-6)\/(-2))*2. Let s be (-12)\/7 - 20\/g. Let c = 3 - 2. Put -3, s, c in ascending order.\nAnswer: -3, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*j + 1)*(-2*j**2 - j**3 - 2*j**3 + 5*j**3 - 2*j**4) - 84*j**4 - 17*j**5 + 84*j**4.\nAnswer: -21*j**5 + 4*j**4 - 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-10)\/(-6)))\/(1\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*v = -9, -v = 5*t + v + 29. Let x(h) = h - 5. Let q be x(-16). Let y be (2 + (-20)\/12)*q. Is t greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 8*f + 10. Let v be l(7). Let w(n) = n**2 - n + 3. Let k be w(v). Let t be (-1 - 5)*(-15)\/2. What is the highest common factor of t and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r - 32*r - 198 = 0. Let n be -3*((-3)\/(-1) - 105\/r). Let x = 0.8 + 4.2. Sort n, -1\/2, x, -3\/2.\nAnswer: -3\/2, -1\/2, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 280, 1101, 2466, 4375, 6828, 9825, 13366?\n\"Answer: 272*s**2 + 5*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 3, 1\/3, 5.\nAnswer: 1\/3, 5\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14999.57*-5.\nAnswer: 74997.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 791.74nm in meters?\nAnswer: 0.00000079174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1699254032?\nAnswer: 2, 7, 15171911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eooxxnmnnnmnno. What is prob of sequence mo?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 8:30 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885117961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1409 (base 11) to base 8.\nAnswer: -3440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71524 - 15874. Is g a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - -91?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 - 47861*q**2\/2 - 191468*q - 382952.\nAnswer: (q - 47869)*(q + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -38) + -20 - (-3 + -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 2, b: 4, w: 4}. Give prob of picking 2 b.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5574260651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/2970 and -59\/330?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9557*c**3 + 3*c**2 - 4658.\nAnswer: 57342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 66 (b) -5 (c) 0.1 (d) -0.1 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1359 is divided by 50?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -598054204, -598054202, -598054200, -598054198, -598054196, -598054194?\nAnswer: -598054192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s = 70*b - 74*b - 3*s - 287, -2*b = -4*s + 106 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from nlnvlnllvlllnnllnvn?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -18, -2\/3, -1, 7, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.8 plus 8?\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 655*a - 4585. Let c be z(7). Let g = 0 + -7. Let s be 2\/(-4) + g\/2. What is the second biggest value in -34, s, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5770 + -5769. Let d = -4 - -8. Let v = 4.1 - d. Which is the closest to x? (a) v (b) 2\/13 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3649*t**2 + 0 - 3650*t**2 + 0.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1597034 and 4.\nAnswer: 3194068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -28040000 to the nearest one hundred thousand.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*g - 10, 2*x + 2 = -3*x - g. Suppose 4*c - 2*c + 5*r - 262 = x, -4*r = 3*c - 379. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.33495 to 1 decimal place.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00929198 rounded to 5 decimal places?\nAnswer: -0.00929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 6 + -24 + 9 + -3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -460*s**5 - 991*s wrt s?\nAnswer: -9200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5140273597 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 135924273 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, 108, -3257, 5, -4 in descending order.\nAnswer: 108, 5, -3, -4, -15, -3257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6475 and -3.\nAnswer: 6472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 6*l = 3*h - 55, -78 = -4*h + l. What is the remainder when 54 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139 + -139. Find t, given that 2\/13*t**3 + 0*t**2 - 2\/13*t**4 + j + 0*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j - 398. Let q(u) = -3*u. What is q(k(i))?\nAnswer: 9*i + 1194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (637 - 127 + 176)*(2*v + 2*v + 2*v) + (-1 - 2 + 0)*(-2*v + 2*v + 2*v).\nAnswer: 4110*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 516702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*i + 377340 + 289053. Let g = i + -5433593\/106. Calculate the common denominator of g and 65\/16.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -92 - 1c72?\nAnswer: -2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 300896533 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/11))\/(j*j\/j**(3\/2))*j**0*j*j\/j**7 assuming j is positive.\nAnswer: j**(-103\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, o: 4, p: 4, f: 8}. Give prob of sequence op.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 15*w**2 - 19*w. Let u(i) = -7*i**2 + 9*i. Determine 4*b(f) + 9*u(f).\nAnswer: -3*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*u - 2 + 15, 0 = u + 2*p + 4. Suppose 5*g = 3*v - 18, 4*g = -u*v + 4*v - 14. Is v less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 125733382?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 13*i. Let a(h) = -2114*h**2. Calculate l(a(v)).\nAnswer: -27482*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 - 54*b**5 + 0*b**2 + 6*b**2)*(-12 + 5 - 13).\nAnswer: 1080*b**5 - 20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t - 24\/7 - 4\/7*t**2.\nAnswer: -4*(t + 1)*(t + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3*sqrt(832)*-1 + sqrt(832) + sqrt(832)*-3 + sqrt(832) + 5)*-6)**2.\nAnswer: -2880792 + 69120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*o - 5019 = -795 + 242 for o.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4\/5 + 74*k**3\/5 + 412*k**2 + 3808*k\/5 = 0.\nAnswer: -17, -2, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8*(12125\/(-725) + 17)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430221 - 85429 = 56*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b + 2*y = 35*b - 8, -3*b - 3*y = -12. Suppose l + 3*l = k - 11, b*l - 33 = -3*k. Solve -2*n = 4*t + t + 9, -t = 5*n + k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 + 660*s**3 - 33329*s**2 + 32670*s.\nAnswer: -s*(s - 605)*(s - 54)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2168848 is divided by 98584.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45*n + 68*n**4 + 91*n - 46*n + 5 wrt n.\nAnswer: 272*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2881 + 14406\/5. Put -2, -2\/117, -2\/7, v, 5 in ascending order.\nAnswer: -2, -2\/7, -2\/117, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 9 (c) 2\/5 (d) 5 (e) 2 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0)*(22*m - 18*m - 130*m**3 + 0*m) to n + r*m + a*m**3 + f*m**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107*c**5 + 48*c**4 - 220*c**2 + 6664*c - 379?\nAnswer: -2140*c**3 + 576*c**2 - 440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-34 - -18) - (-3 + (-2 - -18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 401945\/59234*14\/15?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 275 and 2325.\nAnswer: 25575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Suppose 4*d - 5 - 7 = t. Let c(j) = j - 5. Let n be c(d). Which is bigger: n or -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 18\/(-8) + (-2)\/(-8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-92 + 39 + 48 - (48 + -1))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 18 - 10 - 17 + 308*k**3 to x*k + y + i*k**2 + b*k**3 and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2\/3 (b) -23 (c) 15 (d) 136 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 + 16921*x - 16921*x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 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: What is the next term in -81, -366, -833, -1476, -2289?\nAnswer: -3266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -648, -647, -646?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-9))\/(14\/(-3)). Let v = 3.07 + 143.93. Let w = v - 147.1. Which is the nearest to w? (a) x (b) -4\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, x: 7, z: 5, p: 1, m: 1}. What is prob of picking 2 x and 1 z?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6e7d08 (base 15) to base 3\nAnswer: -100221211122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*k**3 + 67 + 56*k**3 + 3*k - 272.\nAnswer: -2*k**3 + 3*k - 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + 11*l**3 + 15*l**3.\nAnswer: 26*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/9 - 98\/(-6). Let w(x) = 8*x**2 - 4*x + 4. Let v be w(4). Suppose -5*n + v - m = 0. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + 2*v - 1. Let i(r) = 2*r**2 - r - 13*r - r + 5 - 15*r**2 + 2*r**2. Let p(y) = -i(y) - 6*t(y). Calculate p(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**3 + 95*r**5 - 141*r**5 + 2*r**3 + 17*r wrt r?\nAnswer: -920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -23*b + 3. Suppose 32 = 3*u - 22. Let n = -19 + u. List the prime factors of z(n).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2)\/x*x*x*x**(2\/21))**(-2\/13) assuming x is positive.\nAnswer: x**(-4\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 725415*y**2 - 19589850*y.\nAnswer: 5*y*(y - 145110)*(y + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c - 7*c - 3*c - 6*c. Let k(o) = -2*o. What is n(k(x))?\nAnswer: 26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -0.4 (c) 3 (d) 5 (e) 4\/1781\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -17. What is the nearest to a in 0.4, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/36)\/(3\/15003). Suppose -3*t - 3338 = -5*c, 3*t + 21*c = 25*c - r. Round t to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4386 and 2576775?\nAnswer: 2193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -352 or -347?\nAnswer: -352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -3159 and -331724\/105 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*k - 11 = 0, k + 3*k = -4*d - 4. List the prime factors of ((-21)\/14)\/(d\/504*-2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 - 46 = -10*t. Let d = 178\/737 - 4\/67. What is the nearest to t in -4\/3, 5, d?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4533 + 4541 = 4*o, -o = -5*a + 13 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25068 by 1346.\nAnswer: 12534\/673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18401 in 2\/27, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgirrvoogvviv. What is prob of picking 1 i, 2 g, and 1 r?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 + 17 - 4*s**2 + 64.\nAnswer: 2*s**2 + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2 - -5) + -4)*(-1175 + 11) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwzwwnwnzzazwzwwazw. Give prob of sequence aazz.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) 0.6 (c) 165.8 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9*m = -100. Let n = -15 - m. What is the smallest value in n, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32\/19 + -9\/152. Let j(d) = -4*d**3 + d**2 - d + 1. Let y be j(1). Calculate the common denominator of i and ((-2)\/y)\/(12\/(-89)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-2))\/5 + (-378)\/84?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -571 + 595. Suppose -17*l = v*l - 164. Solve -l*d - 4 = 2*p, 0 = -3*d + 6*p - 9*p - 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/3)\/(4\/18). Find the third derivative of 2*r**6 + 0*r + s*r**2 + r - r wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11d5bc (base 14) in base 13?\nAnswer: 186074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*s - 2*s. Suppose -6 - 4 = -s*z. Solve 0 = d - 2*q - z, -q - 25 = 4*d - 0*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 2838?\nAnswer: 14190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**7)\/x)\/(x*x**(1\/6)))**(-20)\/((x\/(x**0*x*x))\/x**(-1\/7))**(-34) assuming x is positive.\nAnswer: x**(2818\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 68 + 283 - 66 + 1005*j**3 - 69.\nAnswer: 1005*j**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13077 and 11763.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -72, 5\/6, -0.3, -2\/7, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 341269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138)\/((-335)\/67*182\/(-65)).\nAnswer: -69\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -892, -3593, -8096, -14407, -22532, -32477?\n\"Answer: -p**3 - 895*p**2 - 9*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 12 = 4*k. What is the greatest common factor of 20 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - y**2 + 9. Let k be v(0). Suppose 0 = k*x - 3*x - 222. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 47 (b) -2\/71 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5856 and 5460720.\nAnswer: 10921440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218531672 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016417 rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -1.299983. What is m rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - l - 1. Let h(v) = -5*v**3 + 23*v**3 + 4*v**3 - v**2 + 6*v + 7. Let f(y) = h(y) + 6*m(y). List the prime factors of f(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -42, -10\/69, 10, 5?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -878 = -2*w - 3*c, 0 = 15*c - 17*c - 4. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187528833?\nAnswer: 3, 20836537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 7. Let v be b(-8). Suppose -5*u + 7 = -4*w - v, -w = -4*u + 13. Suppose -4 = w*n - 7. Is -1.2 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/42)\/(-24*65\/840).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (678\/9)\/((-2)\/(-15)). Suppose -5*p + 0*p + m = 0. Let v = p - 4. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024719493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 2142395 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48766869*f - 108*f**3 + 105*f**3 - 48766869*f.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 3*b - 16. Let h be y(-6). Suppose 4*u - 6*u = -h*i + 106, 0 = 3*i + 5*u - 183. What is the greatest common factor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 11:34 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 431338778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2194280 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -57 - (-44 - (-40 - -29))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 5*g + 4. Let c be y(-5). Let s = -11 + c. Let l(z) = -z**3 - 7*z**2 - z + 6. Is l(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/49 + (-343444)\/(-287). Let u = m - 1196. Suppose 12 = 4*h, k = -0*h + h - 3. Is u != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 17*s**3 + 37*s**2 - 15*s - 11. What are the prime factors of q(8)?\nAnswer: 3, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*z - 6, d + 38 = 3*z - 4*d. Let m be 6\/z - (-3 - -1). Solve -8 = -m*h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -38. Suppose s = -5*n - 4 + 14. Calculate the greatest common factor of 7 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 + 76. Let i = k + 21. Solve 8*a - 3*a - 2*h + 16 = i, 4*h + 28 = -5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -302*r - 10. Let a be s(-6). Suppose 6402 = -2*f + a. Round f to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/63 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -704*l - 64 - 71 - 72 + 207 to the form c*l + z and give c.\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2077, -8413, -18943, -33667?\nAnswer: -52585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244 (base 12) to base 9.\nAnswer: -417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/18)\/(1264\/5688).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, i: 1}. Give prob of sequence bi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 60*s. Let r(v) = 1764*v**2 + 11. What is r(l(n))?\nAnswer: 6350400*n**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35140755.\nAnswer: 3, 5, 13, 307, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -753565 (base 9) in base 7?\nAnswer: -3546311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*l + 17. Suppose 6*o - 57 = l*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -929 (b) 126 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*g - 437*g - 128 = -202*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -11*h**2. Let l(w) be the first derivative of 255*w**2\/2 + 941. Calculate l(f(g)).\nAnswer: -2805*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1777 + -1453. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**3 + 7*v**3 - 8*v**3 + (0*v**3 + v**3 - 2*v**3)*(-2 + 1 + 0))*(6 + 4 - 5 + (-1 + 4 - 1)*(0 + 3 - 4)) + 27*v**2 - 8*v**3 - 27*v**2.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202 - -322230?\nAnswer: 322022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 - 39. Let q = -52 + z. Let n(j) = 2*j**2 - 4*j - 27. Let o be n(8). What is the highest common factor of q and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 - 12*h**2 + h + 6. Let p be r(-6). Solve 19 = 2*f - 5*z - 6, -2*f - 2*z - 10 = p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2797180 rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 617776*r**3*u**3 - 1939709*r**3*u**2 wrt u?\nAnswer: 3706656*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8091048 divided by 59493?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9833.131 days to microseconds.\nAnswer: 849582518400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -14*u - 40. Let k(v) = -v**3 + 6*v**2 - 4*v. Let h be k(5). Solve h*i + 3*b - b = -3, 2*i - b - 6 = u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b - 6. Let d = 6 - 0. Does 11 divide a(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2)*s)\/(s*s**(-1)))**(2\/103) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + sqrt(288)*2)*5.\nAnswer: 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 33*c**3 - 2*c**2 - c. Let m = 50 + -48. Let j be o(m). Let l = -11 + j. Round l to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -373067760 divided by -14170\nAnswer: 26328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/5))**(-41)\/(b**(-1)\/b)**6 assuming b is positive.\nAnswer: b**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1031 - 1007) + 0 + -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 4 - 4)*(-2047*k**3 - 2047*k**3 + 4091*k**3 + 152*k**2).\nAnswer: 3*k**4 - 152*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 38638\/53 and 728 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 - 21. Let u(p) = -3*p**2 - 41. Give 3*u(y) - 5*w(y).\nAnswer: y**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Let r(w) be the first derivative of 2*w - 2*w**m - 1 + w**4 - 2\/3*w**3. Factor r(h).\nAnswer: 2*(h - 1)*(h + 1)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(-2*t**2 + 0*t**2 + 4*t**2) - 291*t**2 + 394*t**2 + 614*t**2.\nAnswer: 723*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 5*w - 6. Determine p(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -5*t + 0*t**4 + 0 + 1\/20*t**5 + 0*t**3 + 4*t**2. What is the first derivative of x(j) wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 + 0) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 41. Let b be (3 + -8 - 1) + 3. Let u(f) = -7 + 10 + 9*f + 2 + 4. Let s(i) = 5*i + 5. Determine b*u(o) + y*s(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 16*w**2 + 343*w + 1793. Let j be l(-9). Solve -2\/11*f**j + 48\/11 - 10\/11*f = 0.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(55)\/sqrt(5) - sqrt(11)) + -4 - sqrt(11))**2 - (sqrt(55)\/sqrt(5) + 4) - (2 + 2*sqrt(275) + 3)).\nAnswer: -3*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 19*g**2 + 866*g + 7759. What is w(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 425*l + 425*l. Let t(n) = 67*n + 335. Let q(j) = 1. Let u(c) = 335*q(c) - t(c). Determine k(u(o)).\nAnswer: 4489*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15998 or 16090?\nAnswer: 15998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 698 - 612. What is the lowest common multiple of m and 16?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/1*(-6 - (1 + -6)). Calculate the least common multiple of (-1)\/d*-69 - -4 and 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11632851 is divided by 109?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -786, -503, -370, -381, -530, -811, -1218, -1745?\n\"Answer: y**3 - 81*y**2 + 519*y - 1225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.8 - -23.8. Let k = -11 + o. Do 0 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(792))\/sqrt(2) + 0.\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183690 = -10533*x - 248163 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 78*n**2 - 571*n - 87. What is q(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khhkkkoh. Give prob of sequence hok.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.36 - -0.3599916. Round j to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6425044 + -3?\nAnswer: 6425041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1998 = 5*j + 9618. Is 25 a factor of j\/(-20) - (-1)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 8*u + 17. Let w be j(-5). Suppose -w*m = 3*m + 30. Sort 6, -1, 0, m.\nAnswer: m, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**2*y)**(2\/101)*y**(-4)\/(y**(2\/7)*y))**13 assuming y is positive.\nAnswer: y**(-481\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3917*r + 26793 = 3339*r - 586 - 3833 for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 23. Let t(k) = 2*k + 11. Let l be t(-8). Sort -1, l, r in descending order.\nAnswer: -1, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36284 - 19409. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.28509 litres in millilitres?\nAnswer: 7285.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/40 + 333\/5. Let j be 6\/(x\/15 - 4). Is j at most 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14113 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230 - 1004?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 - 3*k**2 - 6*k - 25. Let o(a) = -2*a**3 + 3*a**2 + 6*a + 24. Let m(h) = 4*b(h) + 3*o(h). Is 10 a factor of m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21883, 43761, 65639, 87517?\n\"Answer: 21878*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 97, 123, 159, 211, 285, 387, 523, 699?\n\"Answer: l**3 - l**2 + 22*l + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 694, 1388, 2084, 2782, 3482?\nAnswer: 4184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b - 4*b - 1 + 1 + 11*b**3 wrt b.\nAnswer: 66*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d00 + -14?\nAnswer: 1cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9*c = 105. Let k be 1\/(c\/(-6)) - 0. What is the third smallest value in 2\/5, -0.5, k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwk when three letters picked without replacement from nwwnkwwnkw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4176 in 0.2, 0.16, 1\/3, -0.1, -1\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732765082 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1318 and 832317.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7754305 rounded to the nearest ten thousand?\nAnswer: 7750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/10 - -7) + 21\/(-9).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7218 and 31844212?\nAnswer: 286597908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h + m + 22 = 0, -4*h + 5*m = 42. Let c(p) = -p**3 - 7*p**2 + 8*p - 8. Let a be c(h). Let j be 3*-1 + (a - -16). Solve 11 + 14 = -j*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 18*l - 70. Suppose 3*v = -1 + 13. Suppose 0*i + l*i**2 + 0*i**3 - 1\/4*i**4 - v = 0. Calculate i.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5989*u + 5935*u + 5950*u - 17881*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 5*w, o + 5*w = -0 + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6097140947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3018185121.\nAnswer: 3, 7, 29, 101, 49069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(2) + 5*sqrt(242)) - sqrt(4)\/(sqrt(16)\/sqrt(8))) + 3)**2.\nAnswer: -336*sqrt(2) + 6281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 1:16 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from hhrhszhhss.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 19 + 19 + (-2 + 4 - 1)*(-7 + 7 - 9*z)*(4*z**2 - 5*z**2 + 0*z**2) in the form v*z + f*z**2 + g + q*z**3 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 6*x - 4. Let w be l(-5). Let j(u) = -10*u**3 + u**2 - u + 1. Give j(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 20 + (-7 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z**2 - 5*z + 4. Let c(u) = -7*u**2 - 4*u + 3. Let n(t) = -4*c(t) + 3*l(t). Let r be (10\/(-30))\/(1\/6). List the prime factors of n(r).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264168494.487 take away -0.4?\nAnswer: -264168494.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**3 - 30*u**3 + 13*u**3.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(6\/23)\/(y*y\/(y\/((y\/(y*y\/(y\/(y**(-16)*y))))\/y)*y)) assuming y is positive.\nAnswer: y**(-316\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068753245?\nAnswer: 5, 7, 61, 500587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/11189281 and 109\/340.\nAnswer: 223785620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 50*u**2 - 138*u - 1723. Give v(-52).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -24. Let p(g) = -11*g - 25. What are the prime factors of p(b)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210.3*31.\nAnswer: -6519.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2581642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370757848.\nAnswer: 2, 46344731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6410 (base 7) in base 14?\nAnswer: -b77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 + 98. Solve 0 = -z - 2*o - 1 - 5, 3*o + 9 = -k*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20569, 41134, 61699, 82264, 102829?\nAnswer: 123394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 118.4, 6, -0.4, -3\/17?\nAnswer: 118.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 3*g = 11*n - 57, n - 4*g - 71 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 7 in decreasing order.\nAnswer: 7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/3, 19\/6, -4, -2\/15 in descending order.\nAnswer: 19\/6, 1\/3, -2\/15, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*t - 498 - 315, 0 = -r + 3. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186059?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 22220 = -4*w + 5*a, 3*w - 4*a = -22219. Let i = w + 4259. Is 39\/(-91) - (i\/7 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.1555 + -0.0555. Let w = 3718424449 - 3718424423.90000313. Let z = y - w. Round z to 7 dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 752\/(-752)*5\/((-795)\/6).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13127505*z**4 + z**3 + 2830230*z**2?\nAnswer: 315060120*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15813767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-1 - -2) + 5. Suppose -16 = -q*g + g. Let m = 36 + -35. Sort g, m, -4 in increasing order.\nAnswer: -4, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1 + 21\/6)*(-2493744)\/(-1188)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.005 * 0.2\nAnswer: -0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from cqsrrcsrqrqcrcq.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9\/14 - -10\/21. Suppose 9*m + 3 = 12*m. Let f be (3 + 0)*m\/3. Which is the second smallest value? (a) -0.4 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 417836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**3\/3 - 3*p**2\/2 + 185*p. Let l(n) = -6*n - 10. Give 2*l(r) - 7*v(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*y + 8*y + 120 + 7*y - 31*y in the form v*y + h and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 5:13 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3.4. Let a be ((-8)\/20 + 9\/(-90))*2\/(-1). What is the nearest to a in 1, -5, -0.3, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40873?\nAnswer: 7, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/5 in -0.12, -11, 5?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3 = -17. Suppose u = -2*g + m, -15 = 5*u - 3*g - 0*g. Solve 0*s + s + 2 = u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.613175*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*c + 12*c. Suppose -s + 2*n = -c*n - 117, 482 = 4*s - n. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 11*z + 0*z**3 - 19 + 19\/4*z**4 + 0*z**2. What is the first derivative of b(a) wrt a?\nAnswer: 57*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (-99)\/(-24) - (-2100)\/672. Calculate the greatest common factor of 237 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 24\/(-32)) + (-5738)\/(-8). Let t = -705 + y. Solve 6*q + 29 - t = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 86 + (-65 - 133) + 152\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 d, and 1 o when four letters picked without replacement from udldmimmiiimiummommd.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, e: 14, b: 5}. What is prob of sequence becb?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Let w = 4 - t. Let m = 34 - 373\/11. Which is greater: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -387*s + 4209. What is c(12)?\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1383 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3189*((-1)\/3)\/(-1). What is the units digit of (0 - 1)*-3 + x + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -92 (c) -0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 + g**2 + 2*g - 2. Let q(k) = -10*k**3 + 4*k**2 + 6*k - 7. Let p(u) = -14*c(u) + 4*q(u). Determine h so that p(h) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28663?\nAnswer: 28663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7395.927 decades to centuries.\nAnswer: 739.5927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3620, -6017, -8414?\nAnswer: -10811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*l**2 - 40*l - 4*l**2 + 3*l**2 - 2*l**2 to the form p*l + c + s*l**2 and give p.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*m + 7648 - 791, -5*m = 4*c + 11443. Let y = m - -3336. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/48 + (-3)\/8\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 - 6. Let j(d) = -d**3 - 3. Let f be 1\/(-6) + (-114)\/(-36). Let u be 22\/33*(-1 + 517). Suppose 0 = 5*i - u + 379. Calculate f*y(b) + i*j(b).\nAnswer: b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13082\/2 + (-15 - -5)?\nAnswer: 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 6687978.\nAnswer: 1337595.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 p when four letters picked without replacement from {t: 3, p: 4, v: 2, e: 7, g: 1, s: 1}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 12 = -3*j. Let o be (4\/((-16)\/12))\/(5\/(-10)). Let v = 4 - 2. Solve -v*t - t = -3*i + o, -3*t - 5 = -j*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-6))\/((-4)\/(-18)). Sort -5, -1, w in descending order.\nAnswer: -1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. Suppose -4*t = -w*t + 3. Let x = t - -10. Solve -l - 9 = 2*l + 5*c, -x = -2*l + c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.4 + 4. Let v = 67226 + -67219. What is the second biggest value in x, v, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.594 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -624b - 180?\nAnswer: -640b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3038)\/16)\/((-820)\/738 + 26\/18). Do v and -571 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 2050?\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 11*w. Suppose w = q - 8 - 6. Solve 5*k + 4 = q, 5*k = -j + 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37013219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**4\/12 - 7*h**3\/3 - 41*h**2\/2 + 25*h. Let y be k(-17). Let r = y - -153. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.03, -0.4, -4\/15, -15?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)\/(sqrt(48)\/sqrt(4)))\/(sqrt(50)\/(sqrt(5) - sqrt(20)) - sqrt(10)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1150 + -1133. Calculate the remainder when 356 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -11) + (-770)\/35?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25120 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5172753km?\nAnswer: 517275.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/((-30)\/(-96)) - (0 - 1). List the prime factors of j\/((-17)\/(-30))*(-124)\/(-10).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69341.666 + 46?\nAnswer: 69387.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3717, -7435, -11153, -14871, -18589, -22307?\n\"Answer: -3718*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x + 447. Let o(t) = 7*t - 745. Let p(q) = -5*g(q) - 3*o(q). Let i(s) = -10*s**2 + 2*s**2 + 1 - 5. Determine i(p(k)).\nAnswer: -8*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-90) + 68\/18. Suppose b + 126 = w*b. Calculate the highest common divisor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w + 5. Let o(m) = -3*m - 3. Let y(n) = 4*b(n) + 7*o(n). Let r(s) = -25*s - 5. Give -2*r(v) + 11*y(v).\nAnswer: -5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1501247, -1501210, -1501173?\n\"Answer: 37*z - 1501284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 153, 719, 1671, 3015, 4757, 6903?\n\"Answer: x**3 + 187*x**2 - 2*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38845454 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*3)**2 + 2.\nAnswer: 4277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3103 + 32803 = 900*n for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/((l*l**(-2\/27))\/l)))\/l)**(-10\/11)*l*l*l*l**(1\/5)*l*l*l*l**(4\/3))**(-2\/11) assuming l is positive.\nAnswer: l**(-25274\/16335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + 21*h - 169. Let r be g(-16). Put r, -225, 2 in descending order.\nAnswer: r, 2, -225","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 36*k - 21 = -33*k, -14 = -n + 2*k. Factor n + o**2 + 2\/3*o - 5\/3*o**3.\nAnswer: -o*(o - 1)*(5*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35322 by -87.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*v - 49*v + 318696 = -85*v. List the prime factors of v.\nAnswer: 2, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 43, 44, 45, 46?\n\"Answer: c + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -8. Suppose 5*f - 4 = l. Let c be (-15 + f)\/(2\/(-400)). What is c rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3 = 0, 5*i = -5*o - 0*i + 260. Let w = o + -24. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, f: 7, r: 3}. Give prob of sequence sff.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 386\/1351*(-14)\/30*-1.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from iuiiiiiuuiu.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**5\/30 - 3*g**2. Let r(w) = 2*w**2 + 5*w. Let v(m) = -m - m - m**2 - 2*m. Let o(f) = -4*r(f) - 5*v(f). What is x(o(p))?\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10632069*t**3 - 484*t**2 - 14327 wrt t.\nAnswer: -63792414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3\/(-2) + (-5586)\/(-196) and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 26*x + 4 = 21*x, 5*x - 17 = 4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200 by -20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -4*z**7\/105 + z**4\/12 - 2*z**2. Find the second derivative of o(y) wrt y.\nAnswer: -96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*h**5 - 2470*h**2 + 0 - 417\/2*h**4 - 1239*h**3 - 1644*h.\nAnswer: -h*(h + 2)**3*(h + 411)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w + 689 = 4001. Let d(z) = 5*z**3 + 3*z**2 - 2*z + 1. Let c be d(2). Let x = w - c. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 9:49 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226991182?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1900, 0 in ascending order.\nAnswer: -1900, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1872 + 3461 = 23*t + 1819 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*2*-4)\/(sqrt(10) - (sqrt(60)\/sqrt(2) + sqrt(30))\/sqrt(3)))\/(sqrt(90)\/(sqrt(63)\/sqrt(7)) + sqrt(360)*5).\nAnswer: 8*sqrt(3)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12494 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 24. Let f(w) = -31*w - 179. Let v(q) = -f(q) + 10*r(q). Give v(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + v = 17, 0 = l + 7*v + 13*v - 4*v - 76 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8809864 divided by 122.\nAnswer: 72212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29691 and 90.\nAnswer: 296910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*r + 940 - 940)*(3 - 2 + 1).\nAnswer: -174*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 60102 = w. What is the highest common divisor of 212 and w?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4316)\/(-92) + 30\/345. Suppose -h*n = -6*n - 26322. Is 27 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 338, 848, 1370, 1910, 2474, 3068, 3698, 4370?\n\"Answer: f**3 + 503*f - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*g**3 - 16*g**3 + 2*g - 4*g + (-2*g - 2 + 2)*(-2*g**2 - 2 + 2) - g**3 + 5*g**3 - 5*g**3.\nAnswer: 5*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-18) + (-223)\/(-9). Suppose -g + q = -6*g. Let v(p) = 2*p + 1 + 3*p - 3*p + 3. What is v(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -218694*o**3 - 170*o**2 - 6*o + 3 wrt o.\nAnswer: -1312164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 2 (c) 41 (d) 49\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((175\/100)\/((-7)\/3))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000050099 rounded to six dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6383, 25399, 57043, 101315?\nAnswer: 158215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhjhhhhhhhjh. Give prob of sequence jj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + p**2. Let n be y(2). Let a(o) = -2*o**2 - 15*o - 67. Let c(u) = -u**2 - 7*u - 28. Let j(w) = -3*a(w) + 7*c(w). What is j(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80 - 824*c + 822*c - 59 - 103 to a*c + y and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -156*t + t**4 - 50*t - 97*t + (0*t**3 - t**4 + 0*t**3)*(4 + 3 - 5).\nAnswer: -t**4 - 303*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f = -8. Solve 3*i = f*i + 2*o + 6, -o = 2*i + 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*z - 6644 = -2990 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - ((-10)\/(-9) - (-366608)\/(-6336)))*(-4)\/(-14)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229810\/(-9555) + (-2)\/(-39).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/((-4446)\/2280))\/(((-4)\/(-6))\/(-2)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-174)\/11)\/(6\/(-4)). Which is smaller: l or 12?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 1\/10 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**14*b**25*b**(-1)*b*b*b\/b**(-24) assuming b is positive.\nAnswer: b**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-406)\/42)\/((-2)\/(-36)). Let s = m + 6155. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rccgcgrr. What is prob of picking 2 r and 1 c?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) - (-1)\/(-3). Suppose -3*d + 81 = -l*d. Suppose -17 = -2*m + 11. Calculate the remainder when d is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 1:55 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**2. Let w(x) be the third derivative of 0*x**3 + 0*x**4 + 5\/12*x**5 + 0*x - 25*x**2 - 1. Determine v(w(d)).\nAnswer: 2500*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1051*z**2 - 7*z + z + 3157*z**2 - 1060*z**2 - 1051*z**2.\nAnswer: -5*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + (sqrt(25) - (sqrt(1225) + (sqrt(1225) - -1*sqrt(1225) - sqrt(1225))))\/(5*sqrt(25)\/sqrt(5))))**2.\nAnswer: 234*sqrt(5) + 2646\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1056*f - 2104. Let d be u(2). Solve 0 = -3*g + d*g - 10, -y - 1 = -g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3396 divided by 2?\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 3*l + (-1 - 5 + 2)*(2*l - 6*l + 2*l))*(-3 + 1 + 1).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11732, 11734, 11736, 11738, 11740, 11742?\n\"Answer: 2*n + 11730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 + 85. Suppose 5*v - 54 - z = -3*h, 0 = 3*v - 5*h - 54. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {v: 4, e: 2, z: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-14\/9)\/((a\/a**(-2\/15))\/a)*(a**(-3\/4))**(23\/3) assuming a is positive.\nAnswer: a**(-1339\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.31 - -2.383. Let j = g + -0.073. Which is the nearest to j? (a) 1\/4 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6 - (-60)\/9. Let v = 1355.1 + -1355. What is the smallest value in q, 2\/11, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12528 take away 29?\nAnswer: -29.12528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 52 - (1 - -1). Let r(i) = -i**3 + 46*i**2 + 12*i - 528. Let a be r(46). Let f be k\/1*8\/a. Solve 5*b - l - f = -5, 0 = -5*l - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**10\/151200 + a**8\/20160 + a**5\/20 - a**2. Let q(g) be the third derivative of x(g). Let q(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/((-85)\/10)*6\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**2*q + 6966435*p**2 - 14*p + 43249875*q wrt q.\nAnswer: p**2 + 43249875","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4 (b) 52556 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m - 4*s + 32 = 0, 0 = -2*m + 5*s - 4. Let q be (-2 - 0)*2 - ((18 - 4) + -22). Put q, 2, m, -1 in descending order.\nAnswer: q, 2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56421 rounded to the nearest 100?\nAnswer: 56400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 407330 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 717541 divided by -717541?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-423)\/(-33) - 4\/(-22) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.9, 2310?\nAnswer: 2310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-25)\/20) + -30. Let t(i) = -i**2 - 46*i - 109. Does 23 divide t(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.08, 2, -2, -224, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 0*d**4 + 8\/3*d**6 - 9\/2*d**2 + 0*d**5 - 9 + 0*d**3 + 0*d. Find the second derivative of k(c) wrt c.\nAnswer: 320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 10*p**2 - 10*p + 5. Let r be w(3). Suppose 18*y = 22*y + 16. Put -3, y, -5, r in descending order.\nAnswer: r, -3, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_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: Which is smaller: 0 or -9\/161?\nAnswer: -9\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 2 = -z. Let l be 1\/2*1*4. What is the units digit of ((-1)\/l)\/(z\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2677, -5142, -7405, -9472, -11349, -13042, -14557?\n\"Answer: -k**3 + 107*k**2 - 2779*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22156.\nAnswer: 2, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 893*v + 11776 = 525*v for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(45) - 4*(sqrt(5) + sqrt(25)\/sqrt(5))) + 0.\nAnswer: -5*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -632630524*d**2 - 224989*d + 226 wrt d?\nAnswer: -1265261048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33934585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-855)\/114*(-52)\/(-1430)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 132 = 5*z. Suppose 5*u - z = 3. Suppose 2*a - 3*a + 22 = u*q, -q = -2*a + 23. Calculate the remainder when 49 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 674*s + 15. Let a be n(2). Suppose -3*i - 2*g = -1379, -7*i + a = -4*i - 2*g. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -147402.\nAnswer: -147402.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/170 and -33\/85.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**4\/3 - a**3\/3 - a. Does 6 divide l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113061 and 3549?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/2)*g)\/(g\/((g\/(g\/(g**(-3)\/g))*g)\/g*g)))\/(g**0\/g**(4\/7)))\/((g*g*(((g*g\/(g*g**(-1)))\/g)\/g)\/g)**(-45)*g**(1\/4)*g**4\/g) assuming g is positive.\nAnswer: g**(1115\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3942005707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54\/13? (a) 3\/2 (b) 1\/2 (c) 0 (d) -1\/5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7216, 28979, 65388, 116557, 182600, 263631, 359764?\n\"Answer: 19*c**3 + 7209*c**2 + 3*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*y - 38 = 0, 3*y = 2*k + 2*k - 35. Suppose -6*d = -113 + k. What is the smallest common multiple of 5 and d?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**4 - f**2 + 5*f**2 - 2*f**2)*(2 + 0 - 4 + (4 + 1 - 3)*(1 - 1 - 2)).\nAnswer: 18*f**4 - 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77587265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/(-40) + (-778)\/80 and 845\/120 + (-5)\/(-10)*-8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (235\/(-45) - -5)\/(4\/42)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2*c + 5*c = -51, -8*d + 7932 = -5*c + 7847 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2032 - -4629. Let u = 2596.97883 - v. What is u rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*b**2 + 2*b - 25 wrt b?\nAnswer: 14*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 2*q**2 + 0*q + 1\/450*q**5 - 38 - 1\/90*q**4 + 1\/45*q**3. Factor k(g).\nAnswer: 2*(g - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157380 by -4.\nAnswer: 39345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = -6*l. Let w be (-6)\/l + 4*(-9)\/(-6). Solve -m - w*u = m + 23, m + 14 = -2*u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/11096 and 4\/619989?\nAnswer: 4959912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 12. Suppose -6 = 2*i - i. Let q be p(i). Differentiate 6*a - 4 - 5 + 2 + q wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/9 (b) -0.4473 (c) -0.1 (d) 2\/17 (e) -207 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 13*l**2 - 13*l + 12. Suppose x - 3*g = 2 + 1, 4*g + 36 = 4*x. Let o be k(x). Solve q - 5*s = 19, -q + o = -s - 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 8:08 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*x + 724 + 276. What is the least common multiple of x and 1?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -0.19\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1596 and 665.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6*o. Let b(q) = 562*q - 9. Let x(i) = 62*i - 1. Let n(y) = b(y) - 9*x(y). What is v(n(w))?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 3*a - 2. Let i be j(-4). Let s(v) = -5*v**2 - 4*v**2 - 3*v**2 + 10*v**i. Let q(k) = 2*k**2. What is q(s(c))?\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 7 = -f - 12, 0 = 4*a + 5*f + 19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 247378 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 8*y**2 - y - 1. Let j be t(8). Is j at most as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 + -7.54. Let o = s + 7.400128. Round o to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 69, 112, 155, 198?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q**4 + 7*q**3 - 22*q**2 + 7. Let b(t) = -5*t**4 - 4*t**3 + 11*t**2 - 4. Let g(k) = 7*b(k) + 4*r(k). Find the third derivative of g(c) wrt c.\nAnswer: 216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 - 0.43. Let q = -0.17 + w. Let g be ((-21)\/12 - 2) + 3. What is the nearest to q in 0, -3, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 144*k + 142.\nAnswer: 2*(k - 71)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2. Let t(h) = -149 + 293 + 978*h - 147 + h**2. Determine t(l(a)).\nAnswer: 9*a**4 - 2934*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20489, 3, 1, 37, 4, -5, -1.\nAnswer: -20489, -5, -1, 1, 3, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*h**3 - 4*h**2 + 3 - 1 - 2*h**2 + 3*h**2 - 61*h**3 to the form d*h**3 + o*h + w + i*h**2 and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18195431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 299203 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: Two letters picked without replacement from {y: 2, o: 1, e: 1}. Give prob of sequence oe.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0619 + 11.3819. Let t = 27 + -38. Let i = t + r. Round i to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2\/17, 2\/3, 2.7, -11626?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3237)\/65 + 4\/5. Let i = 68 + g. What is the third derivative of 22*w**4 - i*w**2 + 27*w**2 + 0 + 0 wrt w?\nAnswer: 528*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -3. Let s = 29 - 25. Which is the closest to -1? (a) 0.1 (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**4\/4 + 148*t**3 + 32856*t**2 - 42*t + 2. Factor k(r).\nAnswer: 3*(r + 148)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 901409 = 54*h - 14*h. List the prime factors of h.\nAnswer: 20963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 0*u + 0 + 0*u**3 + 12*u**2 - 1\/6*u**4 - 11\/60*u**5. Find the second derivative of z(y) wrt y.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 102\/5. What is the second smallest value in u, -5, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, p: 9}. Give prob of sequence pggp.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1)*(24 - 11 - 10)*(-3*u**3 + 2*u**3 + 2*u**3).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/16 + 5\/16. Suppose 4*j = 5*h + 73, -4*j + 6*j - 3*h = 39. Let o be 0\/(2 + -4)*4\/j. What is the fourth biggest value in p, o, -2\/5, -0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(425) - sqrt(425)*-1*2)*1 + (sqrt(425) - (sqrt(425) - (4 + (2 + sqrt(425) - sqrt(425)))) - ((sqrt(425) - -2*sqrt(425)) + -5)))**2.\nAnswer: -990*sqrt(17) + 34546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -27*u**3 + 5*u**2 + 5*u. Let a be z(-1). Solve 20 = -5*l, 3*r - 4*l - 1 = a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/160)\/((-6)\/4). Suppose -2*a = -3*m - 7, 2 = 3*a - 4. Which is smaller: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3677 greater than or equal to 1709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9\/16, -88, 3\/2, 0.1, 3 in increasing order.\nAnswer: -88, 0.1, 9\/16, 3\/2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 12*h**2 - 12*h - 10. Let i be d(13). Solve 0 = -i*o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 11. Let s = 17 - d. Solve -4*n + 28 = s*o, 4*n + 2 = o + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35780 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -973 and 4.\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5889 + 0.588898632. Round v to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 346 = -5*a + 4*q, -5*q = -3*a + 190. Suppose 6*g + a = 7*g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = b - 4*b + 6, 4*j - 10 = -5*b. Solve 5*p = b*i - 21, 2*i + 6 = -i - 5*p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*i + 28 = 0, 0 = -4*f + i + 72 - 28. Find the first derivative of -87*x + 62 + 70 + 251*x + f wrt x.\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226 divided by -1.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/48 and 13\/18*((-124)\/40 + 7)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d - 2. Suppose -3*j = -d*j - 231. What is the remainder when 1\/(j\/(-117) + 2) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*a + 19, m - 4 = a + 3. Let k(d) = -d**2 + 7*d - 3. Let t be k(6). Suppose 1 = -t*j - 2. What is the third biggest value in 5, a, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.39452 to 1 decimal place.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 18 = -5*i, -8*h + 3*h - 5 = 0. Let t(p) = -17*p**2 + 201*p + 522. Let n be t(14). Solve -4*s = o - i, 0 = -n*o - o - 4*s + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 2*y - 8. Calculate j(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 26 = -6*f + 5*z, 4*z = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (1 + 7 + -2 + -8 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 + -1.7. Sort z, 0, 2\/15.\nAnswer: 0, 2\/15, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in -64.1, -1\/7, 5, 5\/3, -0.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163267072 is divided by 2267?\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/2830545 and -16\/8491635.\nAnswer: 8491635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 11303797 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 6907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011215 less than -15315196?\nAnswer: -14303981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**12)**(-14) assuming v is positive.\nAnswer: v**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*n - 133864 = 71*n. List the prime factors of n.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 8. Let o be (-14)\/(-6) - 16\/(-24). Suppose y = o*y - 3*q - 40, 5*q + 20 = 0. What is the lowest common multiple of y and p?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -140 + 137.09. Let x = -1.09 + g. Let y = -0.1 + -1.9. Which is the closest to 0? (a) x (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2515.3 and -0.2.\nAnswer: -503.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 3*p**3 - 3*p**6 - 6 + 0*p**3 + 5*p**6 - 6*p**3. Find the third derivative of o(g) wrt g.\nAnswer: 720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.04461469 rounded to one dp?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = -38*f + 125212. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6688?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/7)\/s)**(-2\/25)*s**0\/(s\/(s*s*s**(-6))*s))**49)**40 assuming s is positive.\nAnswer: s**(-11648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 70 - 45 = 0. Let r(m) = -6 + 12 + 6*m - s. Calculate r(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 637113 and 14151?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 11:30 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 19*w - 3. Let q be k(-5). Let f = 231 + q. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*t**3 - 2*t**2 - 2707*t - 5158 wrt t.\nAnswer: 15*t**2 - 4*t - 2707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + sqrt(20)*2*-3)\/(sqrt(16)\/(sqrt(8)\/sqrt(2))))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 239, 357, 475, 593?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131 * -18.\nAnswer: -2358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 20*g - 15*g + 49*g - 8*g**2 - 5*g**2 - 12*g as l*g + b + v*g**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/28 and 23\/203?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 64*n**4 + 12*n**3 - 68*n**4 + 2*n + 131*n**4 - 3 in the form u*n + a + f*n**3 + t*n**4 + w*n**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 343558 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -198, -252, -306, -360?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/402 and -76\/24099?\nAnswer: 3229266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence loo when three letters picked without replacement from {o: 5, l: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766061 is divided by 1016.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*10\/(-15)*165\/(-77))\/(180\/35)?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 67862*m - 2375139. Give s(35).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 - 60. Suppose 3 + g = m. Suppose 0 = -4*p - z + m, -3*z + 5 = 17. What is the remainder when p is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) - (sqrt(143) + -1*sqrt(143) + sqrt(143)))*3 + (sqrt(143) + -3*sqrt(143))*-3)\/((sqrt(33) + (-2*sqrt(297))\/sqrt(9))\/sqrt(3)*-5)*-1)**2.\nAnswer: 468\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x**2 + 2*x. What is v(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, -10, -36, -82, -154, -258, -400, -586?\n\"Answer: -f**3 - f**2 - 2*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -478740, -478695, -478584, -478377, -478044, -477555?\nAnswer: -476880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 409*b**2 + 46*b - 93. Let r be j(2). Let y = -949 + r. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 61, 2.\nAnswer: -2, 2, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -229288052*u**5 + 1014071788*u**2.\nAnswer: -13757283120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 r, and 1 t when three letters picked without replacement from {g: 2, f: 5, t: 1, d: 4, r: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1754981954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 133266614466?\nAnswer: -133266614464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 9. Let c = -54 + 64. Suppose 0 = -3*r - 7*r + c. Let z(x) = -1. Let n(m) = r*u(m) + 4*z(m). Give n(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 5*n**7\/6 + n**4\/6 - n**3\/6 - 471*n**2\/2 + 1206*n. What is the second derivative of i(q) wrt q?\nAnswer: 700*q**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -3\/5, 0.3, 3, -0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.5. Let w = 2.6 + -1.2. Let r = o + w. Which is the smallest value? (a) 5 (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63077.\nAnswer: 7, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 201095 - 272483684\/1355. Calculate the common denominator of s and -101\/60.\nAnswer: 16260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 0 = 12. Suppose -5*k + 155 = 5*m, -l*k + 11 + 23 = -5*m. Let j = -1 + 6. Solve -5*b - j*a - k = -12, 5*b + 19 = -a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/40*-3*200\/48*12. Calculate the highest common factor of 95 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + 0 + ((-10230)\/1416 - 18\/(-72)). Let d be (-1)\/3 + (-2)\/(-6). Do d and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111 + -1010010000010101111000?\nAnswer: -1010010000010110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 7, 0.5, 5, -2\/9, -22, 0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, h: 1}. What is prob of picking 2 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 + -0.75. Let c = -1897.64 + 1897. Let p = y - c. Which is smaller: 2\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 26 = 4*o + v, -o - 3*v = -2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -50, 304, 1088, 2446?\nAnswer: 4522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96 - 86. Let r be o*(4 + (-25)\/6)*-3. Solve r*k - 30 = -4*w - 9, k + 4*w - 1 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264752341 to the power of 1\/3, to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 3*g - 2*k - 156, k - 253 = -3*g. Let b(v) = g - 12*v + v**2 - 79 + 2*v**2 - v**2. Determine b(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**3 + 5*c**2 + 4*c - 4. Let i be b(4). Let h = i + 185. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3178319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -101010010?\nAnswer: 101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n. What are the prime factors of f(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**3 + 9*v**2 + 5*v - 16. Let d(k) = -6*k**3 + 10*k**2 + 4*k - 17. Let l(n) = 4*c(n) - 3*d(n). Is l(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 37*m + 692. What is t(-19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.281003 millilitres in litres?\nAnswer: 0.004281003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24886 - -116943. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = y - 1, 4*c = 4*y. Let u be ((-40)\/35)\/((-2)\/7). Suppose -3*s = u - 16. Put s, 0, c in increasing order.\nAnswer: 0, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0063 and -13.33.\nAnswer: -0.083979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2767 = 5*q + 2*y - 2740, -3*q - 5*y = 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2651541*k**5 + 43*k**3 - 10994132*k**2 wrt k.\nAnswer: -159092460*k**2 + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 5*v - 23, 18 = 4*v - 3*u + 4*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -68 - 19. Suppose -5*m + s = -46. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.269*400130.\nAnswer: 907894.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 16.47422mg?\nAnswer: 16474.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -14)\/((-41)\/943) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 4 = -106. Solve -o = 6*a + 24 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251225?\nAnswer: 5, 13, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 750.297351 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8919?\nAnswer: 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 244733 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-15)*f\/(f*f**(-13)*f)*f**(7\/2)\/f**(-13) assuming f is positive.\nAnswer: f**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 12:41 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 2*d - 4. Let a be 40\/(-6) + d\/3. Is 34 + a - (-3)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127089*b**2 - 1017*b + 1?\nAnswer: -254178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 632 and 1738.\nAnswer: 6952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -114, -2, -4, 8, -5 in decreasing order.\nAnswer: 8, -2, -4, -5, -9, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0 = 7. Let f = -4 - 1. Let m(i) = i**3 + 6*i**2 + 2*i - 1. Let z be m(f). What is the greatest common divisor of z and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 4*k - 890. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let r(v) = v. Let x(c) = -c - 8. Let b be x(-10). Let w(f) = b*p(f) - 4*r(f). Let g(o) be the second derivative of -o**3\/6 + o. Give w(g(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 52527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 30968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -77*s**3 + 5*s**2 + 2*s + 31. What is the units digit of t(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - y**3 + 3*y**3 + (2*y - 4*y + y)*(-13 - 4 + 4)*(968 - 968 - 100*y**2 + (0*y**2 + 5*y**2 - 3*y**2)*(2 - 4 + 1)).\nAnswer: -1325*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 32*b - 69. Let k be j(3). Suppose k - 117 = 9*o. Is o bigger than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/2))**(-3\/5)\/(l**(2\/5))**(-1\/30) assuming l is positive.\nAnswer: l**(137\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d - 4. Let y(u) = u + 4. Let z be y(2). What is the tens digit of g(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14186 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 1 + 0 + sqrt(637))**2 - (4 + sqrt(637) + -2).\nAnswer: 21*sqrt(13) + 2547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, z: 3, h: 9, a: 1, r: 2}. Give prob of picking 1 v, 1 z, and 1 a.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 16 = 5*m, -3*m + 3*x = 4*x + 10. Let q be 47 + ((-8)\/m)\/2. What is the highest common divisor of 96 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**0)**(1\/17) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and (10984\/40 + 15)\/(4\/10)?\nAnswer: 7240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/3960 and -73\/5940.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, l: 1, i: 4}. What is prob of sequence zilz?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**5\/30 + 3*v**2\/2 - 3. Let w(x) be the second derivative of u(x). Factor w(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16270836, 16270846, 16270856?\n\"Answer: 10*j + 16270826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, c: 2, r: 4}. Give prob of sequence lr.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 15*i + 526928 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 27 = -111. Suppose 147*g - c = 146*g. Let k(a) = -9*a**3 - 2*a**2 + 1. What is the smallest common multiple of g and k(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrnrrnnrruuruu. What is prob of sequence rnrn?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 8*v = -394. Suppose 3*x + 5*w - v = 408, -398 = -2*x + 2*w. Suppose i + x = 4*t, 5*t + 2*i + 3*i - 250 = 0. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + ((sqrt(252))**2 + sqrt(7))*-6 + 5).\nAnswer: -7540 - 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*l + 8*l + 36 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1526*s + 50430 = -27396 for s.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12901, 25692, 38413, 51028, 63501, 75796, 87877?\n\"Answer: -6*o**3 + o**2 + 12830*o + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1139190 is divided by 102?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2490, -4925, -7326, -9687, -12002?\n\"Answer: x**3 + 11*x**2 - 2475*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 0.5, 1.8, -4 in descending order.\nAnswer: 1.8, 0.5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2296 is divided by 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1344)\/49)\/8 - -3. What is the fourth smallest value in w, 2\/25, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.547 rounded to one decimal place?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/40 and 109\/44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6160699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.17 (b) -1\/2 (c) -17\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 589*o - 7060. Determine i(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**4 - 2*g**2 + 2*g**2 + (g - 1 + 1)*(-5*g**3 + 0*g**3 + 4*g**3) + 12*g - 4*g**4 - 12*g to t*g**2 + q*g**3 + p*g**4 + s + n*g and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**3\/3 - 7*a**2\/2 + 20*a + 14. Let g be v(-9). Solve 0 = -5*i + 4*b - 12, i - 4 - 2 = -g*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 5. Let a be (-3)\/x - (-2)\/(-3). Suppose 0 = -7*h + 5*h - 3*h. Which is greater: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from {c: 1, w: 7, v: 3, h: 1}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 12815.9?\nAnswer: -384.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/2)\/j*j*j\/j**1*j**(3\/4)*j\/(j\/(j\/((j\/(j**(3\/4)*j))\/j)))*j assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5266 or -5267?\nAnswer: -5267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2430822 + 25*h + 2430822.\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6) + 238\/3. What is the highest common factor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by -38\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, -669\/5, -432?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115587120.\nAnswer: 2, 3, 5, 11, 43783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 44.03?\nAnswer: -43.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*g**2 + 142*g**2 - 4 - 172*g**2 + 62*g**2 + 2 to the form o*g + f + d*g**2 and give d.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**4 - 411*x**3 - 1632*x.\nAnswer: 12*x**2 - 2466*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (2\/1)\/2. Let r(o) = -49*o + 5. Let x be r(g). Suppose t - x = -4*t. What is the remainder when t is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 24*t**4 - 8*t**2 + 1352*t - 9. Let p(x) = -x**2 - x - 3. Let s(f) = -c(f) + 3*p(f). What is the second derivative of s(a) wrt a?\nAnswer: -288*a**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -865*w**4 - 4191*w**3 + 27*w**2 - 12174*w + 10 wrt w.\nAnswer: -20760*w - 25146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + v = -417, -6*v = -5*w - 4*v + 414. Let m = -54 + w. Let r be (4\/5)\/(12\/m). Solve -4*o = -r*o - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 37747990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*z**5 + 0*z - z + 5*z - 6*z**5 wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15082\/423 + -5\/423. Let i = -35 - x. Let h = -104 - -65. Is i at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*l - 12, -10 = u + 3*l. Let r be (u\/3)\/((-28)\/42924). What is r rounded to the nearest ten?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 18*c - 11. Let l(w) = 2. Let n(b) = 3*b. Let j be n(2). Let p(s) = j*l(s) + u(s). Give p(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.47 and -0.6172.\nAnswer: -1.0872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12, 42, 102, 198, 336, 522, 762?\n\"Answer: t**3 + 9*t**2 - 4*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2381 - 2207. Let v(q) = -10*q**2 + q - 4. Let b be v(-3). Let k = b + z. What are the prime factors of k?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1252455 (base 6) in base 15?\nAnswer: -157ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5600, -5729, -5996, -6443, -7112, -8045?\nAnswer: -9284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*d + 146*d = -12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 11:35 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -1, 2\/2227, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 30, -3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -7. Let s(t) = -t**3 + 2*t**2 + 2. Let z be s(k). Suppose 0 = -z*r - 3*c - 11, 6*r = 2*r + 3*c + 23. Which is bigger: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28805 - -27258. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 8:58 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 64 = 2*a, 5*a = 2*k + a - 48. Let w be 10\/(-1 + 8\/4). Is ((-5)\/w)\/((-2)\/k) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -433*-1827\nAnswer: 791091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 94*g - g**4 - 2*g**2 + 650*g**3 + 8 - 648*g**3 in the form x*g + i*g**2 + q*g**3 + s + h*g**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feixededewdi. Give prob of sequence fii.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 14 = 6. Suppose -j - 229 = -5*z, -3*z = 5*j - r*z + 1076. Is 0 - j - (-6)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90402 (base 12) to base 9\nAnswer: -314712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*1\/(6\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3\/14 (b) 2\/3 (c) 4 (d) -0.2 (e) -3\/6413\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h - 12. Let n be b(-3). Suppose 4*o - 23 - 489 = n. What is the third derivative of -o*l**2 + 66*l**2 + 10*l**6 + 87*l**2 wrt l?\nAnswer: 1200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-117)\/(-156)*((-640)\/(-15))\/(-4). Let i = -3 + 3. Put 5, t, i, 4 in descending order.\nAnswer: 5, 4, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q*q**(-8))\/q*q)\/q)\/q**(-4\/9)*q**(3\/8)\/q**(-6\/13) assuming q is positive.\nAnswer: q**(-5353\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3296 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i**2 + 3. Let z(c) = 24*c**2 - 14. Let r(q) = -28*f(q) - 6*z(q). Let n(m) be the second derivative of -m**3\/3 - m. Give n(r(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131510 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80 + 92. Suppose -4*s = 4*b + t, 0*b + s - 3 = -4*b. Solve 3*n = -5*v + 20, -2*v - 15 = -7*v - b*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 27*g - 93. Let n be q(-30). Which is the nearest to n? (a) -43 (b) -0.1 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -567, 2, 3, -21 in increasing order.\nAnswer: -567, -21, -5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605))**2 + -4 - sqrt(55)\/(-6*sqrt(11)))*2.\nAnswer: sqrt(5)\/3 + 1202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31951781 to the power of 1\/3, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, e: 3, w: 2, s: 1}. Give prob of sequence eshe.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, 1, 1237.4 in descending order.\nAnswer: 1237.4, 89, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*z = -z - 6, -a = -5*z - 10. Let r be 2\/a + (-4)\/(-20). Put 2, 5, r in increasing order.\nAnswer: r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**3 + 5*w**2 - 5. Let y(i) be the second derivative of i**5\/20 + i**4\/6 - i**2 + 3*i. Give -2*h(n) + 5*y(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/3 + (1 - -1). Let k be (-2)\/4*2*i. Solve -k*b = 4 + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 11 + 4 = -v, -3*v - 5 = -a. Suppose a*d - 134 = -18. Let x be 3\/(-12) - d\/(-8). Is 7 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106.6001043 - -106.6. Round a to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 233344?\nAnswer: -233353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 14*c**2 - 36*c + 1109. Let j be q(16). What is the greatest common factor of j and 3395?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13454, -26906, -40360, -53816, -67274?\n\"Answer: -r**2 - 13449*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*7\/(-4)*(-320)\/(-448).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -41\/2. Let h be 3\/7*4\/8. Let y = h - 11\/182. What is the third biggest value in 0.06, y, k?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414948.5 tonnes to micrograms.\nAnswer: 414948500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -218 - -248. Calculate the greatest common factor of z and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 32\/5 of a millennium?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - m - 128. Suppose m = 2*s + 3*p, -2*p - 30 = -2*s + s. Suppose 0*a + 2*a = s. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**3 + 2*b**3 + 120977*b - 120977*b.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 77863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*y**2\/4 - 15*y\/2.\nAnswer: -3*y*(13*y + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -420 - -240. What is the common denominator of -56\/3 and (-2)\/8 + 369\/k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3600\/126 - (9 + 21).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 23. Suppose -4*c = -2*g - 7 - 5, 0 = -4*g + 3*c - t. Suppose 3*d + 4*z - 334 = g, 0 = 2*d - 3*z + 93 - 310. Round d to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*u + 2*x, -3*u = 4*x - 11 - 0. Solve u = -2*k - 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 947*x - 38552. Determine m(42).\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*i - 20 = -0*m, -3*i = -3*m. Suppose d + 131 = 5*d - t, -5*d + 169 = m*t. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -25*f**3\/3 + f**2\/2 + f. Is b(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.938 and 0.63.\nAnswer: -3.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from crnnd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1809 divided by 3?\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/2)\/(5775\/462).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -186 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 131, -3\/11, 0.0086?\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/3*r + 0*r**2 + 16\/9 - 1\/9*r**3 = 0. Calculate r.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*1632\/748?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96*410.\nAnswer: 39360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -52 - 258380?\nAnswer: -258442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 86*u**2 - 8*u + 10. Let p(n) = -472*n**2 + 44*n - 56. Determine -28*h(z) - 5*p(z).\nAnswer: -48*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 314968500 by 6.\nAnswer: 52494750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28900 is divided by 28900.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1539.06 times 0.1?\nAnswer: 153.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*(-2 - -2))\/2. Suppose 0 = -3*d - u + 6. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4350*b**2 - 7*b + 14*b - 6*b - 2176*b**2 - 2170*b**2.\nAnswer: 4*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321*u + 3042319 = -4507601. What are the prime factors of u?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5917 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*h + 60, k + 4*h + 9 + 11 = 0. Suppose 0 = 5*r, 4*o - 2*r - 2*r = 100. Let l = k + o. Calculate the remainder when 8 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-115)\/(-207))\/((-20)\/24). Let f = 69 + -551\/8. Which is the biggest value? (a) 0.1 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357 minus -0.054?\nAnswer: 1357.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -16*s. Suppose -7*m + 371 = -s*m. Differentiate -13*a**3 - m*a + 0*a**3 + 53*a - 8 wrt a.\nAnswer: -39*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 5*-1)\/((-36)\/(-408)*-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 2315049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 10065\/(-1386) - 52\/39?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + 4. What is the greatest common divisor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**4\/12 - h**2 - 3*h. Suppose 0 = -4*k - 0 + 4. Let i(n) = n**3 + 2*n - 1. Let j be i(k). What is x(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26305587 and 20196.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = i - 2*i + 7, w - 33 = -4*i. Differentiate -i + 2*d + 4 - 4*d - d wrt d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2423)\/2)\/((-16)\/20). Let m = -1505 + y. Let q = -10180\/11 + 927. Calculate the common denominator of q and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.1, 0.02963, -2\/3, -2.\nAnswer: -2, -2\/3, -0.5, -0.1, 0.02963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 9:07 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3031.74 to the nearest ten.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 109 = -3*d, -3*d - 7*m + 12*m = -104. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -713*k**2 - 2108*k**2 + 170*k**2 + 11 - 1661*k**2 + 729*k**2.\nAnswer: -3583*k**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*c**4 - 2*c**3 + 2*c**3 - 22118*c**5 + 22118*c**5 - 416*c**2 - 2*c**6 wrt c?\nAnswer: -240*c**3 - 1368*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 403. Let i = b - 391.99999663. Round i to seven dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g + 4*n = 39*g - 39, 2*n + 12 = -2*g. Let l = -1 + 1. Suppose y + 0*y - 5 = l. Put y, -4\/7, g in ascending order.\nAnswer: -4\/7, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 617*g**3 - 25*g + g**4 - 624*g**3 + 1 + 13*g - g**2 as b + d*g + v*g**3 + w*g**4 + o*g**2 and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0283344512 rounded to 4 decimal places?\nAnswer: -0.0283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t**3\/5 + 4*t**2 + 44*t\/5 + 12\/5 = 0. What is t?\nAnswer: -1, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/196 and 85\/6804?\nAnswer: 47628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 181712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 183 - 167. Let p be 2\/4*(2 + k + -2). Solve p = -2*l + 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnnwnwwwww. What is prob of sequence wnnn?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 375296020 to the power of 1\/3, to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (11 + -1) - 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 41*h + 59*h - 5*g, 334*h - 337*h - 94 = -5*g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1068.9 and -0.607363.\nAnswer: 1068.292637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ere when three letters picked without replacement from vhervverrv?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -374 - -10848\/29. Does s = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 - (-1 + 1 + -3). Let t = 1 - q. Differentiate 2 - 5 + 4*n**3 - t - 2*n**3 wrt n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6489 - 6487. Is -2031 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 150 + 111 = 0. Does 29 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.121674l?\nAnswer: 4121.674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, 2, -3, -12, -25, -42?\n\"Answer: -2*h**2 + 5*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (57\/(-12) + -2)*(-1 - 343\/21). What is the greatest common divisor of h and 741?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272758737.16 less than -1.14?\nAnswer: -1272758738.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16660 by -4165.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**4\/2 + z**2. Let x(r) be the first derivative of 2*r**3\/3 - 1608. What is x(d(o))?\nAnswer: 288*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1. Let s(g) be the third derivative of g**5\/60 + g**4\/12 + 752*g**2. What is 2*r(u) - s(u)?\nAnswer: -u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**6\/60 + 9*z**5\/5 - z**4\/12 - 18*z**3 + 6*z**2 + 73*z - 1. Factor a(f).\nAnswer: 2*(f - 1)*(f + 1)*(f + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11 and -1.425.\nAnswer: 9.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/((-320)\/(-156))*56\/(-21). Is -0.1 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q - 7. Let g be y(3). Suppose -9*v**2 - 7 + 7 + v + g*v + 3*v**3 = 0. Calculate v.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j - 4. Is 11 a factor of (-14)\/j*3*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + -5 + 7 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-66))\/((-3)\/((-54)\/(-2))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/337303089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131 divided by 55482.\nAnswer: -131\/55482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - ((11 - 12) + 4\/1). Let w be (0 + h)\/(((-24)\/(-10))\/(-6)). What is the third derivative of -101*x**5 + 12*x**2 + 47*x**w + 48*x**5 wrt x?\nAnswer: -360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64050 (base 16) to base 10.\nAnswer: 409680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164 + -99. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 11) to base 15\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 4, 43, 106?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 6 = 4*g, -26*t = g - 29 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 4*z = -5, 2 = 4*x - 2*x - 4*z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 + -11 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 371\/2 != 187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 260*b + 3380.\nAnswer: 5*(b - 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.1 - 14. What is the closest to d in 4, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167243 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/43565816 and -97\/12.\nAnswer: 130697448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 63902.46 years?\nAnswer: 766829.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3)\/k)**1\/(k**(2\/5)\/k)**(1\/9))**50 assuming k is positive.\nAnswer: k**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9 - 1 = 0. Let p be -1 - (-1)\/l*-18. Let x(b) = -b**2 - 12*b - 12. Calculate the lowest common multiple of x(p) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 - 5*y**2 + y + 3. What is the remainder when l(-4) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1640 and 35632116?\nAnswer: 356321160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4241663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (17\/(408\/16))\/((-1)\/(-6)). Let g(f) = 182*f - 39. What is the units digit of g(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26451 in -2\/13, 2\/3, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35345011 and 52417?\nAnswer: 2279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((12 - 9) + -7 - -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(30\/(-18))\/(0 + -5). Let f = 7 - 4. Factor 0*q**p + 0 + 3\/2*q - 3\/2*q**f.\nAnswer: -3*q*(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27408 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 92679941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = -u - 70. Let d be (-9)\/(-21) + 4\/7. Suppose 2*i = f + 1 + d, 2*i - 8 = -2*f. Sort u, i, -4, 12.\nAnswer: u, -4, i, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 13*u = 64, 5*l - 1333 = 5*u - 1338 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -632197514*f*y - 2986208*f - 53 wrt y?\nAnswer: -632197514*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.360599m?\nAnswer: 6360599000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 8*c = 618. Let y = c + -51. Suppose 15*z + 7 - y = 0. Solve -z*h + 4 = -7*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/252795 and -29\/8.\nAnswer: 2022360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = -5*t - 46, 74 = 2*x - 4*t. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154840 divided by 35.\nAnswer: -4424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aww when three letters picked without replacement from {j: 1, w: 4, k: 2, e: 1, a: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -82100 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 3 = -5*z, -4*i + i - 5*z = 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -29*p - 86. Let y be ((-39)\/26)\/(3\/26). Let t be m(y). Is 3 a factor of (t\/(-9) + 5)*(-3)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-163 - 123 - 644)*(-2*x - 2*x + 3*x) - x - x + 0*x + (x + x + 0*x)*(1 - 3 + 0) + 0*x - 3*x + 5*x to s + z*x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5758*k + 362173 - 362173)*(-3 - 1 + 6).\nAnswer: -11516*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -109, -139?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9120.058 millilitres in litres?\nAnswer: 9.120058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Suppose f*t + 601276 = -247724. What is t rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 4:12 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46299 is divided by 45483.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -8. Which is the smallest value? (a) 4 (b) 2\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -9*d - 1. Let g be b(-1). Let h = g - -20. Is (-164)\/(-14) + 8\/h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4513 - -14091. List the prime factors of s.\nAnswer: 2, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1610884*w**3 - 8267*w**2 - 24801*w + 8267. Let p(c) = -1169*c**3 - 6*c**2 - 18*c + 6. Determine -6*m(s) + 8267*p(s).\nAnswer: 1181*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 41, 159, 357, 635, 993?\n\"Answer: 40*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 48*r**2 + 216*r - 35. What is j(43)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + -22. Let n be ((-26)\/(-1))\/(2*(-3 - -2)). Let q = n - w. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 998554 and 242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.27 - 0.27. Let m(f) = f**3 + 6*f**2 - f + 6. Let d be m(-7). Let w be (-8 - -4)*(-2)\/d. Which is the closest to w? (a) 0.1 (b) 0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*o - 3302 - 689 = 3003 - 974 for o.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from dicraide?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 10164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 4*k + 3. Let b be s(-9). What are the prime factors of (-3)\/((-9)\/b) - 2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11226 (base 8) in base 5?\nAnswer: -123013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -743553, -1486639, -2229721, -2972799?\n\"Answer: 2*t**2 - 743092*t - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4*t - 3*t + t)*((-3*t**3 + t**3 + 3*t**3)*(0 + 0 - t) + (-2*t**2 + 3*t**2 - 3*t**2)*(3*t**2 - 6*t**2 + 2*t**2) - 53 - 6*t**4 + 53).\nAnswer: -10*t**5 + 15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4092 and 3534?\nAnswer: 77748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t - 33*t + 11*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 0*n**2 - 7\/4*n**4 - 21 + 11*n + 0*n**3. Differentiate w(r) wrt r.\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-116 - 9) + -5 + 68\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 5 = 0, 201 = -3*o + 4*p + 288 - 163 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 112177565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-10)*360\/126?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10065 + 10065.2. What is the nearest to -2\/19 in -0.5, -198, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 12:55 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5518 - -16236. Suppose -15*k + 5077 = -q. Round k to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(9)*2) - sqrt(14)\/(sqrt(21)\/sqrt(3))) + 1*-1*sqrt(2)*2.\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 3.14\nAnswer: -15.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 7*x - 6. Let o be b(8). Suppose 4*c + o*k = -2, 5*c + 5*k = k - 10. Suppose 3*z = -g - c*g + 48, 4*g - 52 = -3*z. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 + -242466?\nAnswer: -242442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17025 and 1417412970?\nAnswer: 3405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 300848*w - 22627379776.\nAnswer: -(w + 150424)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -113, -177, -267, -383, -525, -693?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 961513857?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - 2*g - g + (0 - 3 + 1)*(g + 1 - 1) - 4593*g + 370*g + 193*g.\nAnswer: -4034*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-7)\/(z**(-2)\/z)*z**(-1\/2)\/(z*z\/((z\/((z*z**7*z)\/z*z)*z*z)\/z*z)*z*z))**(-9\/2))**48 assuming z is positive.\nAnswer: z**3132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-8*11*(-273)\/4004?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 50. Let i be j(-22). Let s be (i - -7) + (1 - 0\/(-2)). Suppose q + 30 = s. What is the greatest common factor of q and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0)\/((-9)\/(-279)) - -1. Calculate the greatest common divisor of 12 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 27 - 20*z - 15*z - 13*z - 3*z**2 + 45*z + 6*z**2. What is the remainder when 73 is divided by c(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 2*d**6\/5 - 113*d**5\/70 + 26*d**4\/21 + 4*d**3\/7 + d + 329. Solve n(a) = 0 for a.\nAnswer: -1\/6, 0, 6\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-6) + 1\/(-3). Let q = w - 0. Let k be (4\/(-3))\/(16\/24). Sort 4, q, k in decreasing order.\nAnswer: 4, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3 + 8*d**2*p**2 + 17*d**2 - 1060*p**2 wrt d.\nAnswer: 6*d**2 + 16*d*p**2 + 34*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 2, 171, -1, -11.\nAnswer: -42, -11, -1, 2, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 43 = 2*d - 4*h, 4*d - 3*h = -4. Let k = 12 + -21. Let x be 6\/13*(-1)\/k. Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**2 - 71760*c - 4106565 = 0.\nAnswer: -57, 14409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**30)\/(j**(-5)*j) assuming j is positive.\nAnswer: j**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, -276272, 5, 3\/2 in descending order.\nAnswer: 5, 3\/2, -1.1, -276272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 685904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**7*(t*(t**(4\/3)\/t)\/t)**38)**(4\/21) assuming t is positive.\nAnswer: t**(236\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1258 and -13.430065.\nAnswer: -13.304265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - -1. Let w = 0.8 - 1.4. Let l = 0.4 + w. Which is the closest to 2? (a) -5 (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*h + 4, 0*h - 8 = k + 4*h. Let v be 10 - (k - 0) - 1. Suppose 0 = -7*y + 4*y + v. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 + 15*h**3 - 8*h**3 - 87*h**2 - 14*h**2 - h.\nAnswer: 7*h**3 - 101*h**2 - h + 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.6 - -3.44. Let s = 5.3 - -0.7. Let q = h + s. Round q to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3 = -33. Let b be (-2)\/a + 13583\/9. Suppose 0 = -3*h - 2*m + b, 3*h + 5*m = 1260 + 249. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2738*n**3\/9 + 666*n**2 + 1408*n\/3 + 968\/9 = 0.\nAnswer: -1, -22\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -2045010?\nAnswer: -2044555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 8*s - 71. Calculate the remainder when (-2)\/(-17) - ((-744)\/34 + -3) is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**5\/10 - t**4\/2 - 17*t**3\/6 + 9*t**2 + 4*t - 2. Let x be n(5). Round x to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -21*r - 1613. Let a be g(-6). Which is smaller: -7428\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 h when four letters picked without replacement from hhlhlllhlhlhh.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 v when three letters picked without replacement from {v: 3, m: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -266*v**3\/3 + 273094*v**2 + 4919096*v\/3 - 12344 = 0.\nAnswer: -6, 1\/133, 3086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*i - 22 = 0, -3*i + 9 + 8 = 5*d. Let r = d - -14. What is the first derivative of 12 + 6*n**2 + 11 + 6 + r wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*w - 468. Let x = 7 - -6. What is the highest common divisor of w and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/((-5)\/((-25)\/(-12))) and -57\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -217691970 by -285685.\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*v**3*x + 14730*v**3 + 67143051*v**2*x wrt v?\nAnswer: 420*x + 88380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - (-70 + 43) - 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55182036?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-63)\/(-14)*(-4)\/(-6). Does 6 divide 4 - (-6)\/k*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {i: 1, j: 1, p: 1, l: 4, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -569*j - 19 + 1155*j - 39 - 534*j with respect to j.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, i: 2, d: 7}. Give prob of picking 4 d.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjxncxjxxonojncxxxo. What is prob of picking 1 n, 2 c, and 1 x?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 45 + (-49 - (-55 + 9))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 6*t**2 + t + 12. Let h be c(-6). Find r, given that r**2 - h + 16 + 15*r + 4 = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 10:23 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -560*b*c**3*d*y**2 + 2*b*c**3*y + 4*b*c*d*y - 3*c**3*y + 2*c*d*y - 2*d wrt y?\nAnswer: -1120*b*c**3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12869*r - 2576 = -13963*r - 75874 for r.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963431 is divided by 678.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/15*(-4)\/(8\/5). Suppose -c = -1 - 13. Solve f + 1 = -4*h + c, -f - 15 = -l*h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(2\/5)*w)\/w*w)**22)**31)**40 assuming w is positive.\nAnswer: w**43648","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, 11, 24, 43?\n\"Answer: 3*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, o: 7, h: 2, i: 8}. What is prob of sequence iwo?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*((18 - 7) + -8). Let i be (6\/(-9))\/((-2)\/(-3)). Let m be i\/(-3*5\/w). Which is smaller: 6\/35 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1781? (a) 3 (b) -11 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 31*s**6\/10 + 69*s**5\/5 + 59*s**4\/4 - s**3 + 84*s. Factor a(g).\nAnswer: 3*g*(g + 1)*(g + 2)*(31*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 18*i + 24. Let u be s(19). Solve 4 = -10*y + u*y + 2*h, -4*h = y - 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, -103, -1340, -3, 5, 2 in decreasing order.\nAnswer: 10, 5, 2, 1, -3, -103, -1340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*x**2 - 14*x**3 - 14*x**2 - 26*x**4 + 27*x**4 wrt x?\nAnswer: 24*x - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 2*y - 44. Let q = y + 21. Calculate the smallest common multiple of q and (-16)\/(-6)*(-30)\/(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -27591527\nAnswer: 3\/27591527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 83, 959, 3337, 7967, 15599?\n\"Answer: 125*t**3 + t**2 - 2*t - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8309599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 239*t**4 - 5649 wrt t.\nAnswer: 956*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 144 = 6*s. Suppose 12*z + 9284 = s*z + 2*b, b + 2321 = z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in -0.5, -3, 20, 542?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 + 4*a + 4*a**2 - 3 - 6*a**2 + 7 to the form q + o*a + p*a**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 378510 - 189127 - 189216 - 23*f as c*f + b and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 10. Solve -k + 4*k - r = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*d**4 + 25*d**2 - 2813.\nAnswer: -16*d**3 + 50*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32573, 65155, 97737?\nAnswer: 130319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*d = 17764, o - 3*d = 28118 - 10354. Suppose -9*c = -5*c - o. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:36 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and (-15)\/(-4)*((-414800)\/(-102))\/61?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 17 = x, x + y - 5*y = 14. Suppose 0 = -x*i + 4*i - 28. Suppose -n + 2*n = i. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11704 and 617424?\nAnswer: 47541648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + 5 - (1 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, c: 1, t: 2, y: 4, l: 7}. What is prob of sequence lcy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide ((-1368)\/(-95))\/(((-21)\/(-1722))\/(50\/4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123*1.387602.\nAnswer: -170.675046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3895939*-0.21.\nAnswer: 0.081814719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 12*f**2 + 7. Let h be w(-12). Suppose 3*b - 50 = h. Let s(o) = 2*o**2 + 2*o - 9. Calculate the remainder when s(6) is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48.4 + -48.45. Which is the nearest to f? (a) 3 (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 9, 35, 63, 87, 101, 99?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from {d: 3, g: 5, z: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 6:17 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1330 - 5919. Let k = n - -10540. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4187 - 434. What is the remainder when r is divided by 341?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 3180 = 144 + 80. What is the greatest common factor of i and 5180?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1590 + -933. List the prime factors of g.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1063 (base 13) to base 12.\nAnswer: 139a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 1. Let x(m) = -50*m + 9 - 20 - 13. Let s(c) = 22*g(c) - 2*x(c). What is the first derivative of s(a) wrt a?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 6*h**2 + 11*h + 3. Let s(a) = -3*a**3 + 13*a**2 + 22*a + 7. What is 7*q(x) - 3*s(x)?\nAnswer: 2*x**3 + 3*x**2 + 11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -9958.9 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51885 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1238 divided by 1238.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 1, 4*u - 7*u - 3 = -2*r. Solve -r*p = -5*f + 21, -4*f + 0*p = 4*p - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = -3*x + 5*c, -2*x = -5*c - 20. Is 3\/16 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 5*w - 2*w + 0*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h - 77 = 19. What is the nearest to -1\/7 in -4, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*n**2 + 63*n**2 - 33*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*u + 14, -24 = 2*w + 2*w - 4*u. Let k = 7 - w. Suppose -j - k = -5*j. Put -2, 4, j in increasing order.\nAnswer: -2, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 12:23 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 33*y**2 + 2*y - 5. Let x(r) = 31*r**2 + 2*r - 6. Let w(c) = 6*u(c) - 5*x(c). Find the second derivative of w(p) wrt p.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, 0.39, -0.7, 11\/3, -0.4, -68, 8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 10 = 2*u, -2*o + 2*u + u + 15 = 0. Suppose 0 = -0*k + 4*k - 140. Let j = k + -33. Solve -2*t + o = j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1878 = -5*r + 136, 0 = -3*f + 4*r + 5237. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(sqrt(2057) + 0)*6)**2*-6.\nAnswer: 47985696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - v - 3, 0 = 5*g - 3*v - 6. Suppose -3*p = 4*b - 275, 0 = 11*b - 8*b - 3*p - 201. Suppose 140 + b = 26*t. Solve 0 = -h + g*h - t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**4 + 948*d**3 + 720 wrt d?\nAnswer: -8*d**3 + 2844*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/12))**(4\/13))**47 assuming h is positive.\nAnswer: h**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 467657665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.30097 - -0.10097. Which is the closest to 0.1? (a) -3\/8 (b) 1 (c) -1\/4 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -38 (b) -0.1 (c) 0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2\/c)**(-2\/27)*(c**0*c)\/(c**(2\/7)\/c) assuming c is positive.\nAnswer: c**(310\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 16*i + 3. Let o(p) = p - 1. Let c be ((-300)\/(-500))\/((-6)\/10). Calculate c*t(j) - 3*o(j).\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 368*q**2. Let k(c) = -3*c**2. Give i(k(a)).\nAnswer: 3312*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 68926.29 litres in millilitres?\nAnswer: 68926290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5855269 rounded to 2 decimal places?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -0.1, -2\/5, 903, 3, 5 in decreasing order.\nAnswer: 903, 5, 3, 3\/8, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -290 - -569. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 13 = -2*l + 49, 0 = -2*h - 4*l - 18. Let a = 0 + 16. Let i = a + h. Solve k - i = m, k - 5 = -3*m - 0*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32317436*y**4 - 4*y**3 + 2*y**2 - 490*y - 106703 wrt y.\nAnswer: -775618464*y - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 6*t + 6. Let g be 0*(-10 + 189\/18). Give u(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 603*y**3 - 582*y**3 + 1180*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -43378\/9 greater than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y = -63*y + 92 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z - 5. What is the remainder when 6 is divided by v(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -126, -145, -182, -243, -334, -461?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**5\/5 + v**4 + 4*v**3\/3 + 28*v. Solve c(d) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**2\/2 + 2239. Let p(o) = 542*o + 2. Determine w(p(y)).\nAnswer: -542*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 1, -3, -1 in ascending order.\nAnswer: -3, -1, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 5*y**2 - 7*y + 44. Let z be i(5). What is the highest common factor of 369 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2171718 and 1228.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.390437 and 0.1.\nAnswer: -0.0390437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -230540170 rounded to the nearest one hundred thousand?\nAnswer: -230500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -1 (c) 62 (d) -2\/5 (e) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/26 + 88049\/(-4394)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27045 (b) 3 (c) 1.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20612748 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1151\/16623 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(630)\/sqrt(10)).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123863232 divided by 30965808?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*-4601217.\nAnswer: 92024340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/7360 and -11\/191360.\nAnswer: 191360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*g**4 - 183*g**3 + 18*g**2 - 22138468*g wrt g.\nAnswer: -324*g**2 - 1098*g + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6 + 22\/(-9)*(-4455)\/1188. Solve 11*x**2 - 1\/2*x**5 - g*x**3 + 0 + 4*x**4 - 4*x = 0 for x.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 7:11 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/1575649?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -55, -87, -121, -157?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3616000 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 102, 0.6, 1032?\nAnswer: 1032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 8. Let d(n) = -7. What is -6*d(q) + 5*j(q)?\nAnswer: -5*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22203806 to the nearest integer?\nAnswer: 4712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 + -5)*(-1)\/(-2). What is the third derivative of 698*b**3 + 8*b**2 + 6*b**6 - 698*b**h wrt b?\nAnswer: 720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3105, -2632, -2173, -1734, -1321, -940, -597, -298?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 2*s**2 + 6*s - 7. What is d(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*b + 3*b + 0*b - 4*b - 9*b + 56 wrt b.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*(44\/(-6) - -8)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15725.69 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2655 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212607 (base 8) in base 15?\nAnswer: -68acb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 480 and 256?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 8\/5, 0.898, -0.7 in descending order.\nAnswer: 38, 8\/5, 0.898, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 k, and 1 h when four letters picked without replacement from kyhgffqggyqgfyy.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(0 + 2 + 3). Suppose c*a + 65 = -135. Let q = -28 - a. Solve 0*n + 3*n = -q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 14*p - 8. Let o be w(6). Let n = -2082 + 20803\/10. Calculate the common denominator of n and 0 + 0 + 46\/o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1.9. Let r = m - -0.1. What is the nearest to 2 in 2, r, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9891 - -9896. What is the nearest to 0 in -205, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, -11, 0, -4 in increasing order.\nAnswer: -11, -4, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 0*i**2 - 21*i**2 - i + 9*i**3 - 3 - 2. Let a(x) = -5*x**3 + 11*x**2 + 3. Let z(h) = 11*a(h) + 6*b(h). Is z(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8846, 17022, 25160, 33242, 41250, 49166, 56972, 64650?\n\"Answer: -3*y**3 - y**2 + 8200*y + 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 173*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19922 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7455236?\nAnswer: 2, 619, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-6\/5)*k**8*k)**(-32\/3))**18)**(-3) assuming k is positive.\nAnswer: k**(22464\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -13*c - 3*c + 3*c - 32*c. Let x(q) = 13*q. Give x(y(z)).\nAnswer: -585*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1 + 0 - 1 + y**2 + 3 - 2*y. Let w be k(1). Suppose -a + w + 14 = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/30*(-544)\/(-2040))\/((54\/190)\/(-9))?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 12*t**2 + 10*t - 138. Determine i(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50043991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2139996 - 5*(3 - (-76)\/(-20)). What is u rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 143 = 164. Let b(v) = -3*v. What is b(y)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -391, -799, -1227, -1681, -2167, -2691, -3259?\n\"Answer: -u**3 - 4*u**2 - 389*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 36*v = -56. Sort v, -6, 3 in decreasing order.\nAnswer: 3, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*i + 22 = -46*i. Suppose 5*k - 8 - 2 = 0. Let f(o) = -3 + 4 - 3*o**3 + 4*o**3 - o**k. Give f(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2355 and 14521755?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 16*m + 138. Calculate x(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -61*g**3\/3 - 62*g**2 - 36*g. Find the first derivative of x(j) wrt j.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 9*a - 3*a. Suppose 4*v + 70 - 194 = a. What is the highest common divisor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259466.605 rounded to the nearest one thousand?\nAnswer: 259000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*p + 58, 3*z - 25 = -4*p + 34. Suppose 35*n - 38*n = -12. Suppose -n = -6*t + 248. What is the greatest common factor of t and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -10*f + 35. Let y be b(3). Solve j + 32 = -2*j - 4*a, a - 15 = y*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 477*n + 718*n - 151*n - 173*n to the form f*n + d and give f.\nAnswer: 871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 29 + 94 - 27 - i**2 - 21.\nAnswer: -i**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11880 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/95 (b) -11 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.16 + 7.188. Let j = x + -0.028. Let d(t) = t**3 - 4*t**2 - 1. Let k be d(4). Which is the nearest to 6? (a) k (b) j (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -6 (c) 169034 (d) -5 (e) 0 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2196 and 649692.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 187, -7, -3 in decreasing order.\nAnswer: 187, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2016*r**3 - 1 - 88*r**2 - 2017*r**3 + 1 in the form v*r**3 + m*r**2 + x + d*r and give m.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (3 - 5) - -22.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.06, -0.2, 20.1, -9, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + -0.066?\nAnswer: 62.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-eight ninths of a day?\nAnswer: 4480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 - 9 - 16 - -96.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -131352199046 take away 5?\nAnswer: -131352199051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 + 3.08. Let y = -4 + d. Put y, -2, -2\/15 in descending order.\nAnswer: -2\/15, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 543082, 8, 4 in decreasing order.\nAnswer: 543082, 8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -466.79 to the nearest 10.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 735*q**2 - 138*q**3 - 735*q**2 + 154*q**3.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8903 - -8902.8. Which is the biggest value? (a) -4\/11 (b) u (c) -3\/5 (d) -2 (e) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 9*c + 45. Let z be c\/(-12) - 0\/(6\/(-3)). Let k = -0.17 - -0.07. Put k, z, -17 in descending order.\nAnswer: z, k, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wppj when four letters picked without replacement from {c: 2, u: 4, p: 7, j: 6, w: 1}?\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - 2*c + c + 0*c - 2*c + c + (2 - 1 + 0)*(-3*c + 3*c - c) - c + 0*c + 0*c + 2*c + 3*c - 2*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 13105103?\nAnswer: 13105102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 4:21 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040 a factor of 412880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*c + 5*k, -3*c + k + 4 = -k. Let o(a) = -a**3 - 3*a**2 + 4*a - 3. Let g be o(-4). Let z be (-1)\/((g\/9)\/1). Put 5, c, z in increasing order.\nAnswer: c, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*5)\/sqrt(2) - (-2 + -4*sqrt(7)).\nAnswer: 2 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8248843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*b + 4*x - 30510 = 0, 5*b + 3*x = b - 9 - 57 + 335 for b.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-16))\/(-3)*(-8)\/168*-12.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((0 + 0)\/(-1))\/1. Suppose -g = p + 3*g - 15, i = -5*g + 10. Calculate the remainder when p is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23895 times -0.5?\nAnswer: -11947.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 45718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278587727.\nAnswer: 11, 25326157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c + 2*c**2 - 12 - c**2 + 11*c. Let f be ((-20)\/(-25))\/((-2)\/25). List the prime factors of z(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-4)*48\/4*158\/3318.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1336 at least as big as -1334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*q + 15*p - 8 = -226*q + 10*p, 3*p = 5*q + 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k**(2\/19)\/k)\/k))\/k**(-6))\/(k**(-4\/7)\/(k**(-5)\/k)))\/(k**(-4)*k*k*k**(-3\/7)*k**(3\/5)\/((k\/(k**(1\/12)\/k))\/k*k)) assuming k is positive.\nAnswer: k**(8221\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -125, 0.3, -10, 7, -2\/81, -1\/7, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81020160?\nAnswer: 2, 3, 5, 13, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36*(4 - 3\/(81\/(-8001)))?\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/14 + 108\/(-28). Suppose -6 = 3*g + 4*l - 29, -l - 69 = -5*g. What is the remainder when g is divided by m\/10 - 111\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -6\/5, 38, 1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 172794, 171656, 170518, 169380?\n\"Answer: -1138*m + 173932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6940068?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 + 31*s**2 + 21*s - 70. Suppose 4*t + 8*a = 3*a + 123, -a = -3. What is the remainder when t is divided by x(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 436 + -428. What is the second derivative of 27*f + 683 - 42*f**3 + g*f - 683 wrt f?\nAnswer: -252*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58038471?\nAnswer: 3, 2149573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (148*q - 57*q + 181*q)*(q**2 - q**2 - 2*q**3) to the form d + t*q + y*q**4 + l*q**2 + v*q**3 and give y.\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 734400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (1 - 1) - (-3 - 5960) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 - 5*w - 5*w + 5*w.\nAnswer: -5*w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -9*t - 51. Let w be g(-6). Let f = -3 + 4.2. Let x = f - 0.2. Which is the nearest to x? (a) 0.1 (b) -2\/11 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 282621.5 - 282621. Suppose 2*z = o + 9, 3*z + 7 = 3*o + 28. Which is the closest to -0.1? (a) o (b) -1 (c) p (d) -18\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**3 - 62*z**2 - 31*z + 65. What is r(21)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -31519.\nAnswer: -15\/31519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 208.5 + -209. Sort -2, w, 4\/5, -3 in decreasing order.\nAnswer: 4\/5, w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-167*h + 12*h + 35*h - 88*h)*(-4*h**2 + 6*h**2 + 2*h**2).\nAnswer: -832*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/29, 1360, 6.95 in descending order.\nAnswer: 1360, 6.95, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (0 - 8)) + (44 - (77 + -35 + 0))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*b - 18. Let w(f) = -2*f - 1. What is the least common multiple of 8 and w(b)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h = 21. Let n = 23 + h. Is 10\/n + -6 + 474 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2 + -2)*(-4 + 4). Solve m = 2*k - 7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 + 1 = 0. Suppose -5*v + 175 = h, 180 = 5*v - 0*h + o*h. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-5)*(-4)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*t - 1525 = 131*t - 239*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1848 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 219, 330, 429, 510, 567, 594, 585?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f**4*w + f**3*w + 21*f**2*w**2 - 109*f*w**2 - w**2 wrt f.\nAnswer: -48*f**2*w + 6*f*w + 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 45704 divided by -8\nAnswer: -5713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*i + 376538 + 6606697 = -615500. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 6*b**2 - 10*b - 8. Calculate the lowest common multiple of p(8) and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 899512 and 8244.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/12 - (-28)\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1533870 and 749892.\nAnswer: 33745140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*-1 + 1 + -5 + 0 + -1*(sqrt(128) + 2))**2 + -1.\nAnswer: 192*sqrt(2) + 547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(80)\/sqrt(10))**2*-5 + -4 + sqrt(16)\/sqrt(2)).\nAnswer: -132 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-126)*6*1\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 8. Let x(l) = -l + 7. Let a(j) = -5*m(j) + 6*x(j). Suppose 6 = 5*u - 3*n, 4*u + 89*n - 88*n - 15 = 0. What is a(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30.7107 + 30.6. Let j = -0.11 - y. Round j to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116956497 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + 0.4. Let v = 0.3 + -0.1. Let l = v - n. Sort 0, l, 3.\nAnswer: l, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from {v: 1, d: 1, n: 2, h: 1, c: 1, u: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.344 - 0.144. What is the nearest to 2\/7 in 3, 1\/4, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 - (-12)\/(-5)*(-3 - 1048\/(-224))\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 1. Let i(u) = -1. Let d(a) = -i(a) - t(a). Let w(n) be the third derivative of -n**5\/20 - n**2. Calculate w(d(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.003 + 1.663. Let y = s - 0.06. What is y rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 278 or 1954\/7?\nAnswer: 1954\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -432.\nAnswer: 1\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*40018.9\nAnswer: -8003.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2463358 divided by -17722\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 11 = 3*b, 7 + 3 = 4*b - 2*w. Let g(i) = 3*i - b*i + 2*i. Let f(y) = -4*y**2. Give g(f(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 18, -108, -0.4, 5, 2 in descending order.\nAnswer: 18, 5, 2, 5\/6, -0.4, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*4\/(-80) - 11\/(-5). Suppose -3 = -s - i*b, 5*b - 36 = -3*s + 8*b. Solve 3*w + 12 = -w - 4*j, 3*w = 3*j - s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6773582*f**2*v + 3639*v + 2648 wrt f.\nAnswer: -13547164*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 568123063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 547, 4541, 15387, 36511, 71339?\n\"Answer: 571*s**3 - 3*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((4\/3)\/(-4))\/((-2)\/24). Suppose x*l = -3*s + 4, -16 = -l + 2*s + s. Solve 9 - 1 = l*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40661*i**3*n**2 + 5*i**3*n + 33305*i**3 - 14*i**2 - 482*i*n**3 - 4*i*n wrt n?\nAnswer: 81322*i**3 - 2892*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*o + 48. Let d = o - 16. Put 1, d, 5 in ascending order.\nAnswer: d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 7) to base 6.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50a794 (base 11) to base 9.\nAnswer: 1478142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + s - 14)*((0 + 1 - 2)*(1 + 0 + 1) - 57 - 29 + 0)*(13 - 13 + 3*s) to the form v*s**2 + f*s + u and give v.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -23*q**3 + q**2 + 2*q + 1. Give b(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8007481223.\nAnswer: 7, 1143925889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 58 - (-5)\/((-25)\/10). Let k = o + -25. What is the remainder when k is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21012 - -12223120?\nAnswer: 12310132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 16. Let l = 0.3578 - -0.1422. Sort -0.1, l, -2\/7, s.\nAnswer: -2\/7, -0.1, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -76\nAnswer: 15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-249)\/(-18) - (-2)\/12. Let x = i + -11. Find the second derivative of f**3 - 2 - 3*f**x - 3*f + 2 wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.189 - 10.989. Which is greater: 289\/4 or y?\nAnswer: 289\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/(-27))\/((-1)\/((-6)\/(-4))). Let h = -63 + 60. Does 9 divide 83 - (h\/9)\/(b\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15\/2, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 3 + -7 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 12*a + 247. Let z be u(-21). Let t(o) = -2*o**2 - 6*o + 7. Determine t(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 203789 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, b: 2}. Give prob of sequence rbb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1764) + 1*sqrt(1764))\/(sqrt(12) - sqrt(84)\/sqrt(63)))**2 + 5 - (1 + (sqrt(108)*-1 + sqrt(108))**2*1 + -5).\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4261173?\nAnswer: 3, 7, 29, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1798205 and 0.107.\nAnswer: 1798205.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.1+-41645\nAnswer: -41643.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -24. Let m be (-48)\/u*3\/(-2). What is the second derivative of -6*v**3 + 2*v**2 - 36*v - m*v**2 + 2*v**2 wrt v?\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 + 2*h - 2. Let t(n) = 2*n**2 - 3*n + 3. Let q(j) = 3*s(j) + 2*t(j). Let v(f) be the second derivative of -f**4\/4 + 16*f. Give q(v(c)).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 81.6662*-161\nAnswer: -13148.2582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 346 * 16\nAnswer: 5536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 72236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 280 + -67. Let c = o - 121. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 take away 35.3541685187?\nAnswer: -36.2541685187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001266 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 792525 and 6675?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*d + 8 - 20, 4*d + 4*j = 16. Solve d*x - 17 = x + 4*i, 0 = -2*x - 2*i - 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003184850616 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - h + 40 = 4*h, -5*h = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (2 + 0)) + (-2189 - -2186)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.3105\nAnswer: -0.09315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 4\/3*k**3 + 0*k**2 - 55\/12*k**4 - 1 + k. What is the second derivative of m(y) wrt y?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwswwwws. What is prob of picking 2 w and 1 s?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 1464*k + 10292. What is a(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 94*k - 346. Give h(-50).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -273 - -844. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -229 + 229. Sort -2\/7, l, -0.7, 0.4 in ascending order.\nAnswer: -0.7, -2\/7, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -3, -106 in decreasing order.\nAnswer: -3, -30, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155572 or -155570?\nAnswer: -155572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -13*z**2 + 478*z + 127. Calculate v(37).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -17*z - 1. Let k be p(1). Find the common denominator of 9\/22 and ((-51)\/(-44))\/(k\/(-12)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-71)\/(-10) - (-33)\/(-66)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 219 = -h. Let l = 184 + h. Suppose 3*m - 2*n - 11 = 0, -2*m + 11 - 1 = -2*n. What is the remainder when m is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 5*d + 6, 4*d + 58 = 248*j - 245*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuz when three letters picked without replacement from {u: 2, z: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - j = -c + 567, 0 = 4*c - 3*j - 756. Let s = 1753\/9 - c. Calculate the common denominator of 18 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.005006 - 2624.905006. Round l to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*w**2 + 246*w**2 + 72*w - 122*w**2 - 2 as m*w**2 + g*w + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*1 - 1\/(-1). Let z be -1*50*4\/(-8). Let x = -6 + z. Solve -3*u + 9 = s*r - 9, 5*r - x = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1396858986 to 3 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2619 take away -0.4?\nAnswer: -5.8619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11102 + -1110100?\nAnswer: -1121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 4:07 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 6*v**2 + 0*v - 2*v + 2*v.\nAnswer: 6*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - -1 - 53707)*108\/(-216).\nAnswer: 2, 29, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 119850395 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3692 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/4)\/(11\/(528\/36))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 1 + 24 + (-19 - -11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3*q + 4 = 1, -4*o = -2*q + 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5283 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92957503160 + 1590*t + 92957503160.\nAnswer: 1590*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 4*c - 22 = 0, -8*u = 2*c - 696 + 676 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2.74, 3\/11, 1\/4?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 8*c - 3. Let s be 3\/(-5) - (-736)\/(-115). Calculate n(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6568850 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3797 + 3779 - (0 + 23)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 0*r**2 + 2 + 9*r - 1\/3*r**3. Let b(j) = -2*j**2 + 34*j. What is b(c(y))?\nAnswer: -8*y**2 - 68*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42510 and 376757628?\nAnswer: 8502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5*a + 1460, 3*i + 6*a - 3*a = 864. Does 29 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28 + -3 + (4 - 54\/6). Find the second derivative of -b*g**2 - 16*g**2 - 20*g - 148*g + 45*g**3 + 35*g**2 wrt g.\nAnswer: 270*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 19*h**2 + 36*h - 36. Let j be s(22). Suppose 75 - j = -9*w. List the prime factors of w.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3166 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/7*(-2422)\/(-519)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-142)\/18 + (-5)\/45)\/2. What is the third smallest value in 0.4, g, 155, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a - 3*a**2 - a - 5 + 17*a**3 + 2. Let b = 5334 - 5332. Is t(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -5*g**4\/12 + g**3\/6 + 12*g**2. Let w be d(-1). What is the greatest common divisor of w and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(37\/2)\/(15\/40). Calculate the highest common factor of q and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 764 + -761 - (-145)\/(-49)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-1 + -1)\/(8\/(-284)). Suppose -161 = -5*j - y. Calculate the lowest common multiple of j and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24359979055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1189673859 and 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4685 = -369*k + 90*k + 10602 + 2848 for k.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -88*t + 97. Let b be f(10). Let v = -785 - b. Put -1, 2\/15, v, -0.3 in descending order.\nAnswer: 2\/15, -0.3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a meter in millimeters?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 5*f**2 - f + 4. Let s be q(5). Which is greater: -4\/19 or s?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3\/2*q**3 + 627 + 630*q**2 + 2511\/2*q = 0.\nAnswer: -418, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 2:09 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1572 and 1310?\nAnswer: 7860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/7))**(2\/31)\/(r**(-1\/6)\/r**(2\/17)))\/((r**2*r)**(-30))**37 assuming r is positive.\nAnswer: r**(73712105\/22134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497698 is divided by 70236?\nAnswer: 6046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 2. Suppose 0*t - c*t = -2*i - 90, -t + 4*i = -20. Suppose 4*x = t + 324. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2400)\/(-3 - (-17996)\/6000). Round s to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8\/29 (b) -31\/2 (c) 4 (d) -26 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 2*d**2 - d**2 + d)*(44 + 292 - 47) + (-2*d + d + 2*d)*(d - 5*d + 2*d).\nAnswer: 287*d**2 + 289*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8*m**6)\/(m*m*m*m**1*m)**(-46) assuming m is positive.\nAnswer: m**244","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.261 - 1.261. Let w = -2 - -2.4. Let m = -0.8 + w. Which is the nearest to u? (a) 1 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 3:23 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 3, -2, 14, -5.3, -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 6*c + 3*c + (2 + 2 - 3)*(72*c - 62*c - 95*c) - 4*c + 0*c + 5*c)*(-1 + 4 - 4).\nAnswer: 86*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15752774 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 17 = y. Let z be 6\/15 + y\/(-5). Suppose -2*h + z = -5. Solve -2*d + 1 = -h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2289.03 times -15.3?\nAnswer: -35022.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -3\/16 (c) 2 (d) -0.3 (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 - 69. Let t(v) = 5*v**r + 22 - 22 - 6*v**2 + 2*v**2. Let l(w) = -120*w**2. Calculate t(l(u)).\nAnswer: 14400*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112011122 + -11210?\nAnswer: -112100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**7\/1260 - n**6\/90 - n**5\/20 - 5*n**4\/12 + 5*n. Let p(v) be the third derivative of q(v). Factor p(o).\nAnswer: -2*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.44 * 646\nAnswer: -284.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342829689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 2*u + 3. Let x be c(3). Let j = 0 - 0. Suppose 4*p - 109 = -3*m, p + x*p + 3*m - 16 = j. Round p to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 15 + 25 = 0. Let t be (0 + -1)*20\/w. What is the derivative of -t + 3*c + 2*c - c wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-17 + 1 - -20)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -17.17.\nAnswer: -18.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3904 is divided by 568?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2792*h. Let u(r) = -5*r**2 + 6009. What is o(u(z))?\nAnswer: -13960*z**2 + 16777128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -112100111101 (base 3) in base 4?\nAnswer: -1010331310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-186)\/(-10) - 16\/(-40). Solve -12 = y*v - 15*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7664, 35324, 81426, 145970, 228956, 330384, 450254?\nAnswer: 588566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10788 - 5736. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13059*i**5 - i**4 + 21*i**3 + 41*i**2 + 1024*i - 1564?\nAnswer: 783540*i**2 - 24*i + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1)*r**(-4)*(((r\/r**4*r)\/r)\/r)**(-46\/7) assuming r is positive.\nAnswer: r**(149\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**21*l)\/((l**(-5)\/l)\/l*l)*((l\/(l*l**(-4\/9)))\/l)\/l**4 assuming l is positive.\nAnswer: l**(220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -201357?\nAnswer: 201356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c - 22. Let j be l(-8). Let t(m) = 18 + 4*m + 2*m**j - 44 + 27. Calculate t(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lln when three letters picked without replacement from {l: 2, n: 16}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9351 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 + 39 - 40 + 2*w + 63 in the form o + g*w and give o.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3 + v + 3*v**2 - 4*v**2 + 0*v**2. Let i(r) = -8*r**2 - 7*r**2 + r + 16*r**2 - 4 + 0*r**2 + 3. Suppose 24*n + 16 = 8*n. What is n*p(d) - 3*i(d)?\nAnswer: -2*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - n = 4609, -2*n = 2*a - 0*n + 4608. Let z = a - -1545. Let g = z - -1667. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 + -19. Let y = -64 - f. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 92.2673 meters?\nAnswer: 0.0922673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -44817760?\nAnswer: -44817755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2041*t + 0 + 2265*t + 1.\nAnswer: 224*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, 1.07, 0.0843?\nAnswer: 1.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1379 is divided by 134.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1684.9568 - -1682.7. What is c rounded to one dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -29, -33, -37?\n\"Answer: -4*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/(3\/6*5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7676296049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide (345\/36 + 80\/(-60))\/(12\/20704)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9214*h**3 - 40*h**4 - 9214*h**3 + 5*h**2 + (1 + 0 - 2)*(h**4 - 5*h**4 + 3*h**4).\nAnswer: -39*h**4 + 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1255860715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*k + 24, -5*i - 2*k - 30 = 3*k. Let a be (-27)\/i*(-2)\/(-3). What is the units digit of (a + -1)*(-456)\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2 - 3 + 3 + 2 + (1 + 2 - 2)*(-2 + 2 + 2) + 2 - 3 + 3 - 1 + 0 + 6)*(2*a**2 - 7*a**2 - 5*a + 4*a**2).\nAnswer: -8*a**2 - 40*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1769273 and 73964.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(343) + -2 + sqrt(343) - sqrt(343))**2.\nAnswer: -28*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/1608 and 80\/1407?\nAnswer: 11256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p\/p**1)\/p*p)*p)**(-6\/5)*(p**(-3\/8)*p)\/((p*(p**(-4\/3)\/p*p)\/p*p)\/p))**(-38))**25 assuming p is positive.\nAnswer: p**(5035\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*q - 7, 0 = 2*g + 4*q + 2. Suppose 11 = -4*c - 1. Is c greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z + z + z)*(0*z + 0*z - z**2) - 91574 + 316*z**3 + 91574 + (-z + z - 5*z**2)*(z + 0*z + 2*z) as t*z**3 + r*z + p + w*z**2 and give t.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*y**2 + 30*y**2 + 35*y**2)*(2*y + 0*y - 3*y + (-2 + 2 + 2*y)*(-2 + 6 - 3) + 1 - 1 + y).\nAnswer: 190*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - m**2 + m + 26. Suppose -2*a + 8 = -52. Suppose -a = -2*p - 3*b, 2*p + 2*p = -4*b + 52. What is the remainder when x(0) is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(117) + -2 + 1*sqrt(468)) + ((3 + sqrt(13))*-2 - 3*(sqrt(13) - sqrt(130)\/sqrt(10))))**2.\nAnswer: 10933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*w - t + 280, 3*w + 2*t = 168. What is the second derivative of -2*n + 3*n + 74*n**2 + 73 - w wrt n?\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 308 divided by 50\nAnswer: 154\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 126\/(-210) + (-189)\/(-15). Solve s*d - 10 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 7:20 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4, -2.07, -3, 3 in increasing order.\nAnswer: -4, -3, -2.07, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 34423, 34176, 33929, 33682, 33435?\n\"Answer: -247*a + 34670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -6*b + 9*b - 16, 0 = 3*n + 4*b - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 8:50 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 134730 to the nearest 1000.\nAnswer: 135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 71, 118, 183, 272?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 - 70*f**2 - 24*f - 16. Let p be h(-23). Solve 9 + p = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*w = 34, -2*g = 8*w - 5*w - 1. What is the remainder when g is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -868*g + 3342*g - 1282*g = -94168 for g.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25413?\nAnswer: 3, 43, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**4\/12 + p**2 - 2*p. Let l be t(2). Let i(s) = s + 8. Is i(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r - 164 + 521 = 0. Suppose -4*h + 18 = -178. Calculate the greatest common factor of r and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/64*-568)\/(3\/9*-6)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 0*q**3 + 0*q**2 - 45*q + 0 + 0*q**6 + 43\/12*q**4 + 1\/7*q**7 + 0*q**5. What is the third derivative of j(d) wrt d?\nAnswer: 360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.43 rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 15*y = -14*y - 1, 3*y + 10 = -4*m. Let c be 3 + 1*-9*2. Put c, m, 2 in ascending order.\nAnswer: c, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*u + 38 = 0. Suppose c + u = 20. Let s be ((-3300)\/8)\/(c\/8). What is s rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 - 95*u - 59. Calculate a(-31).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 342057250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -35*a**2 - 838*a + 22. Determine d(-24).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6419.516 nanograms to micrograms.\nAnswer: 6.419516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((2 - 23) + -9 + 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v - 4839 = -8*v - 4999 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76003528?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -0.058?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 22 = -2*a, -9 = 8*a - 13*a - 4*n. What is the remainder when 67 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - 0.753. Let h = 0.102 + 0.081. Let f = v + h. What is f rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = o + 5*x, 35 - 9 = 5*o + x. What is the least common multiple of o and 46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10*k. Let y(j) = 16*j - 1. Let s(c) = -15*c + 2. Let i(q) = -6*s(q) - 5*y(q). Let h(u) = 7*u - 5. Let w(p) = 7*h(p) - 5*i(p). Calculate w(t(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:37 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (19\/4)\/((-2)\/(-8)). Let s be (7\/(-2) - 2\/(-4)) + 21. Suppose -3*y + b = -2*y - s, -96 = -5*y - b. Calculate the greatest common factor of y and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 893 + -884. Which is greater: -8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17, 26, 37, 50, 65, 82, 101?\n\"Answer: f**2 + 6*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)\/(k\/(k**(-6)*k)))**(-22)*k**(-1\/2)*k*((k*k**(-3))\/k)\/k*(k\/((k*k\/(k**4\/k))\/k))\/(k\/k**2) assuming k is positive.\nAnswer: k**(2297\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7408441 rounded to three dps?\nAnswer: 1.741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 7. Suppose -4*n = -2*w + 24, 0 = a*w + 3*w + 4*n - 74. What is the greatest common factor of w and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 4) to base 15\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/5*(-9 - 1). Let n be (-2933)\/196 - (-33)\/(-924). Is (((-81195)\/b)\/n)\/(2\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 3 - 10514029*s - 5 + 10508721*s.\nAnswer: -2*s**3 - 5308*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 35*x**2 - 4 + 6.\nAnswer: 35*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -72?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, m: 6}. Give prob of sequence mmmt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.647098 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y - 14*y + 105. Let o = 33 - y. Let f = o - -11. Solve -4*u - f = 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**16*a*a**2 assuming a is positive.\nAnswer: a**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4580, 3950, 3320, 2690?\n\"Answer: -630*j + 5210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 138*j - 13619. What is w(106)?\nAnswer: 1009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, d: 5, g: 5, v: 1}. Give prob of picking 1 g, 1 v, and 2 a.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4832919996?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131 - 131.5. Put 4, 2\/11, 1.1, o in descending order.\nAnswer: 4, 1.1, 2\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7022 divided by -3511\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1 + -0.1. Let x = 4 - u. Which is the biggest value? (a) x (b) 5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**3\/2 - 10*b**2 + 18*b - 55. Let j(q) = -q - 1. Determine -g(x) + 4*j(x).\nAnswer: -x + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by 13\nAnswer: 96\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**5\/15 + 273*h**2 + 1. Let t(y) be the second derivative of 5*y**4\/2 + 21*y. Calculate t(p(z)).\nAnswer: 480*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26636 in -1, -5, -22, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -34, 15, -3, 0, -4?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {s: 11, x: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230001 (base 7) in base 4?\nAnswer: 1003122110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*v + 2*d, -6*v - 5*d - 20 = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r**2 - 5*r + 39. What is the remainder when t(-8) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 0*v + 0 + 2\/3*v**3 + 1\/24*v**4 + 4*v**2. Let m = 6 + -12. Calculate x(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 0*q**2 - 2*q + 2\/3*q**3 + 2. Find the first derivative of y(a) wrt a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -145451*r*v - 97*r + 49750953*v wrt r?\nAnswer: -145451*v - 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.9999942 + -28. Round u to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42.7 - 8.3. Let g = i - -51.1. What is the closest to g in -0.5, 7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 365*l + 563. Let k be c(9). What is the highest common divisor of k and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4688.07 to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z - 1 = 0. Let b = -4 - -7. Let q = b - -2. Sort q, z, -5.\nAnswer: -5, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*-18*(-4)\/15. Let b = l - -80. What is the highest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s - 12*s = 330. Solve 0 = a - s + 17 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxzsnyp. Give prob of picking 1 x, 1 p, and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -104444500 to the nearest one million.\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 5. Let i = -81 + 80. Put i, 2, r in increasing order.\nAnswer: r, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4285 and 67301067?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -10 - (-6 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 13559?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1453 + 457 - 751)*(-2*g + 3 - 3) in the form j + l*g and give l.\nAnswer: 3494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - l)*(l - 2*l**2 - l)*(-2*l + 4*l + 0*l)*(-142 + 54 + 263 - 4 + 3 + 0 + (0 + 1 - 3)*(6 - 2 - 2)) + 2*l**4 - 3*l + 3*l.\nAnswer: 682*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let y be (p\/(3 - 1))\/1. Let i be 17\/(-357) + (-332)\/84. Put y, i, 4 in decreasing order.\nAnswer: 4, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.4, 4\/3, 65308 in descending order.\nAnswer: 65308, 4\/3, 0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3 - 19*m**2 - 63*m - 45 = 0. Calculate m.\nAnswer: -15, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2115191803 rounded to the nearest one hundred thousand?\nAnswer: 2115200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 + -70 + 11 - -10)\/((-2)\/23234) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**3 - 2*v**2 - 2*v - 1. Let l be p(-1). Let g be (-3 + 6)\/((-1)\/l). Let u = -2 - g. What is the remainder when 20 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**4\/46 - 10*z**3\/69 + 3*z**2\/23 + 18*z\/23 + 73. Determine s, given that p(s) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 477?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*12\/(-60)*20\/(-36)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 2. Let k be v(2). Differentiate -4 + 16*i - 31*i - k with respect to i.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n**2 - 4*n**3 - 4 + 2*n**3 - 3*n**2 + 7*n + n**3. Determine f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 779, 3358, 7671, 13724, 21523, 31074, 42383, 55456?\n\"Answer: b**3 + 861*b**2 - 11*b - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 + 11 = -9*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 219782398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, 12, 22, 36?\n\"Answer: 2*d**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 22*z + 156. Let a(o) = -15*o**2 + 310*o - 2190. Let k(i) = -6*a(i) - 85*f(i). Solve k(s) = 0.\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/25 (b) -18 (c) -2\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -6. Suppose 0 = -2*o - 3*o - 2*v + 946, -2*o + 370 = -s*v. Suppose -2*u + 6*u = o. Round u to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2*v + 0*v - 174 + 171 = 0, 5*w - 15 = -3*v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 10:04 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/453410 and -87\/82067210.\nAnswer: 82067210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*y = -0*x - 1688, 3*x - 1245 = 4*y. Suppose -5*j + x = 2*i, 5*j - 122 = 3*i + 312. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-3)*6\/36*-9. Let o(z) = -z + 1 - 1. Let k be o(i). Which is the third biggest value? (a) -3\/7 (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 11494?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269244 is divided by 1051.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 400*j + 1 - 2028*j - 2033*j + 319*j in the form s + l*j and give l.\nAnswer: -3342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 + -60. Which is the closest to -2? (a) -1 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**6\/6 + 2*o**5 + 13*o**4\/4 - 20*o**3 + 18*o**2 + 28. Factor i(l).\nAnswer: l*(l - 1)**2*(l + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 4.3\nAnswer: -12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41 and 10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 180.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a2cbd5 - -7?\nAnswer: a2cbdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + a + 4*a + 8 + 0 - 17*a. Give r(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*o + 49*o + 55 = 0. Solve -12*h + 34 = o*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 20*r**3 - 1963*r**2 - 17. Let l(s) = 7*s**3 - 655*s**2 - 6. Determine 17*l(i) - 6*t(i).\nAnswer: -i**3 + 643*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 371490 less than or equal to 371502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + m**2 - m - 1. Let n(q) = 25*q**4 + 28*q**3 - 9*q**2 - 14*q + 2. Let l(h) = -10*j(h) + 5*n(h). Factor l(d).\nAnswer: 5*(d + 1)**2*(5*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314385847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -908, -3628, -8160, -14504, -22660, -32628?\n\"Answer: -906*k**2 - 2*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*v**3 - 233338*v**2 + 203937010*v.\nAnswer: -228*v - 466676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 168*k**2*r**2 - 4425*k**2*r*v + 3*k*r**2*v + k*r*v + 5*k*v + 27*r**2*v - 2*r*v - 11*v wrt k.\nAnswer: 336*r**2 - 8850*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 + 1762*z**2\/3.\nAnswer: 2*z**2*(z + 881)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*i + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}