diff --git "a/data/dm_maths/full_data_1/2000_11255.jsonl" "b/data/dm_maths/full_data_1/2000_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2000_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 6, what is -3 + 4211?\nAnswer: 4204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**16*f*f\/(f*f\/((f\/(f*f**7*f*f))\/f*f)))**(-18\/7) assuming f is positive.\nAnswer: f**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/9 in 4\/3, 1\/11, -42, 0.2, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5 - 3 = 0. Solve -q*m - 2 + 0 = 5*r, m = -5*r - 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m + 625 = 0. Is 14 a factor of ((-2100)\/m)\/((-2)\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - -4 - (2 - -1). What is the first derivative of -11*o**z + 2*o**2 + 232 + o**3 - 92 wrt o?\nAnswer: 3*o**2 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 266*c**2 + 29*c - 4. Calculate the remainder when q(1) is divided by 153.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 100\/(-210)*(-126)\/270. Sort -2, m, 5, 2 in increasing order.\nAnswer: -2, m, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -5\/12*h**4 + 0 + 0*h**2 + 0*h**3 - h. Let v(c) = 3*c + 0*c - 5*c + 0*c. What is v(m(x))?\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -648 + -45?\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-15) - (-2)\/2*0. Let i = -4.96 + -0.04. Which is the closest to v? (a) i (b) 4\/3 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 2*h**2 - 3*h - 3. Let f be s(-2). Is (-850)\/(-6) - (-1)\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 10*i**2 + 10*i - 13. Let c be z(9). Let y(q) = q**3 - 7*q**2 - 10*q + 12. Let s be y(8). Let r = c - s. Solve -l = -r*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 + 1. Let i be c(-1). What is the third derivative of -5*j**2 + 11*j**4 - 19*j**4 - 3*j**4 - 2*j**i wrt j?\nAnswer: -312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tatq when four letters picked without replacement from ttqqaqt.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 30. Sort x, 5, -4 in increasing order.\nAnswer: -4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 2*w. Let b be c(2). Let r = 2 - b. Is (7\/r)\/((-1)\/(-22)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**3 + 4*c**2 - 736*c + 4. Let s(z) = 2*z**3 - 4*z**2 + 734*z - 3. Let d(a) = -3*m(a) - 4*s(a). Let d(g) = 0. Calculate g.\nAnswer: -14, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -3*m - 36, 21*b + 33*m + 99 = 29*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 46*h + 235. Give l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86883 by 3.\nAnswer: -28961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 + -9.5. Let j = v + 7.9. What is j rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 16, 29, 5, -4 in ascending order.\nAnswer: -4, 1, 5, 16, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 152200 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**3 + 7 - 3*a**2 - 2*a**4 + a**2 + 2*a**2. Let j(b) = -b**3 - 1. Let p(g) = -f(g) - 5*j(g). Find the first derivative of p(t) wrt t.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31362*t**2 + 15706*t**2 + 15649*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67121647.\nAnswer: 1117, 60091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-1)*(-14)\/56. Suppose -3*d - b = -4*d. Factor 4*m**5 + 12*m**3 + 12*m**d + m**2 + 0*m**2 + 3*m**2.\nAnswer: 4*m**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, o: 2, y: 2, j: 1}. Give prob of sequence oow.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 994 - 707. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149 - 97. Let x(l) = 14*l + 265. Let c be x(-18). What is the greatest common divisor of c and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 10:37 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 3*z - 5. Calculate the lowest common multiple of ((-1 - 1)*-3)\/(47*86\/18189) and s(-4).\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5957562*r**2 - 25588833*r wrt r?\nAnswer: 11915124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*v + 6 = 0, -548*z + 3*v = -541*z - 0*v + 24 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1)\/g))**(-22) assuming g is positive.\nAnswer: g**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-10495)\/(-25188))\/(15\/(-66))\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/182 and 51\/260?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.28326 to two dps.\nAnswer: -1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -145669, 43 in decreasing order.\nAnswer: 43, -6, -145669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(190)*-1)\/sqrt(10) + (1*sqrt(209)*-3)\/sqrt(11))**2*3.\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -927 + 4770. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1291092 or -1291119?\nAnswer: -1291092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y - 40*y = -35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(-6)))\/m**(2\/25))\/((m\/(m\/((m*m**(-2\/9)*m)\/m)*m))\/m*m*m**4))\/((m\/(m*m**(1\/3)))**13\/(m**(-2\/15)*m**6)) assuming m is positive.\nAnswer: m**(77\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 7*s**2 - 41*s - 4. Suppose 0 = 13*k - 6*k - 147. What is the units digit of w(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2504*u - 1202*u + 40766 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 9*v**2 - 9*v + 12. Let w be q(8). Factor 6*l**4 - 10*l**w + l**3 - l**2 + 5*l**4 - l**5.\nAnswer: -l**2*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/12)\/(2\/(-4)). Which is the closest to -2\/3? (a) -0.1 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2965 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q + 48. Which is greater: q or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + k = 2*b - 3, 3*k = -4*b + 4. Is b < 1\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5*x + 9747 = 9862, -2*o + 5*x = -60 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 + -10)\/(1\/1174). Suppose 3*l = 3*k - 891, -2*l = -4*k - 5*l + t. Does 9 divide -2 + (k + -3)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6*6\/10. Suppose 3*z + 4*v + 872 = 9*v, 4*v = 5*z + 1475. Let u = 304 + z. What is the closest to 1 in 0.2, u, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126393724 and 3568.\nAnswer: 505574896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 14*t**3 + 768*t**2 - 3098*t - 28. Give k(4).\nAnswer: 764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -20cac5?\nAnswer: 20cac7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365869*z + 365869*z + 3*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*sqrt(44)\/sqrt(4).\nAnswer: -4*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -7*j + 9. Let d(g) = 8*g - 10. Let b(s) = 7*a(s) + 6*d(s). Give b(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 + 0*z**2 + 56*z**4 - 54*z**4 - z**3 + 8 as q*z**4 + i + o*z**2 + v*z**3 + s*z and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4. Is s not equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 > 74096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-262)\/655*(-1210)\/4. Let z(g) = 2*g**2 + 1. Let t be z(-1). Suppose -w + 2*n + 3*n = -57, t*n = 2*w - l. What are the prime factors of w?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.13. What is the smallest value in 3, z, 2\/5, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y. Let x(q) be the first derivative of 1\/6*q**3 - 2 + 2*q + 0*q**2. Let z(a) be the first derivative of x(a). Calculate j(z(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8519569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2849, 0.2, -4, -1.46 in descending order.\nAnswer: 1.2849, 0.2, -1.46, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2581.902 hours?\nAnswer: 9294847200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(2\/7))**2)**(1\/14))**(1\/17) assuming k is positive.\nAnswer: k**(5\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -8 + (6 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68957893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3829484*t**2 + 8*t - 11. Let m be i(6). Suppose 4*n + 38661461 = m. What is n rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 3*u - u**3 - u**3 - 37*u + 22*u - 77 + 10*u to the form v + g*u**2 + y*u + x*u**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + 3*p - 3*p)*(0*p**2 + 4*p**2 - 5*p**2) - 655*p**3 - 688*p**3 + 1381*p**3 to m*p**2 + u*p + f*p**3 + o and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*u + 3*r - 88, 58683*r - 58684*r = 5*u - 145 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 840?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 65754.22 tonnes?\nAnswer: 65754220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120780 and 14355?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190 and 20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -3, -1.2315?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 122, 118, 114?\n\"Answer: -4*g + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-8)\/(-18) - -58*(-154)\/(-396). Solve 38*r + j = 61*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.9 - -6. Let o = -4 + z. Let g = 3 + -2.8. Which is bigger: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -j + 1, -2*u = 4*j - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 25 - (-18 - -19 - 10) - 122.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 2:56 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2510747374 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 5*b**3\/6 - b**2\/2 - 290*b. Let u(r) = r + 1. Determine -m(z) + 4*u(z).\nAnswer: -z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-273)\/(-72) + (-1925)\/525)\/(0 + -1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 4\/3*m - 2\/3*m**2.\nAnswer: -2*(m - 3)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in -1, 44, -1\/11, 2, -12, -2\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-18)*2 - 9340\/90. Let u = c - -105. Let i(z) = z**3 + z**2. Let g(q) = 8*q**3 + 1. Let a(o) = g(o) - 2*i(o). Determine a(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 536791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -4 - -2 - -1 - -8) + (-476 - -514).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggxvdggnv. Give prob of picking 4 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 3, -17, -448 in descending order.\nAnswer: 3, -17, -22, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 113111483, 226222967, 339334451?\n\"Answer: 113111484*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 770.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7927, 7928, 7929?\nAnswer: 7930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710455114.\nAnswer: 2, 743, 478099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 4*j + 17 = 3*c, -5*j = -2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*j - 1448 = 0, 450 = -3*s + 4*j - 636. Let n = 859 + s. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*f + 31*f + 33*f - 4*f**2 + 2*f**2 - 100*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q - 1. Let r(w) = -72*w**2 - 54*w + 54. Determine -108*a(t) - 2*r(t).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -255 (b) 7 (c) 1 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(1100)))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + i - 171. Let w = -87 + i. Calculate the highest common factor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/28)*x*x)\/x)\/(x**(-29)*x) assuming x is positive.\nAnswer: x**(839\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 7869.\nAnswer: -5508.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 - 23*q - 42. Determine o(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-6 + 1 + 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4041 + 0.259. Round s to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(147\/(-6)) - 12771\/(-1505). Which is smaller: a or -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 822, 1668, 2476, 3228, 3906, 4492, 4968?\n\"Answer: -3*m**3 - m**2 + 870*m - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 531.2?\nAnswer: 538.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 3*c**2 + 2*c - 2. Suppose 4*j + 2 = 46. Let g(n) = n**2 - 11*n + 3. Let w be g(j). What is a(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71 plus 3602.734842?\nAnswer: 3602.024842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56\/19 + -506\/133. Which is the nearest to 3? (a) 1\/3 (b) -2\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4418004 less than 0.0114?\nAnswer: -4418003.9886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 12. Let z = -9 + x. What is the smallest common multiple of z and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 244 = 3*u + 46, -2*u + 3*a = -122. Let k = 76 - u. Suppose -46*z + 43*z + k = 0. Calculate the remainder when z is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 7*r**2 + 8*r + 8. What are the prime factors of o(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 25956.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (6 + -3 - 2) - (-288 - -282)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**3 + m**2 + 6*m - 11. Calculate the remainder when q(2) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 = 4*q + 99. Is q a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5630 - -5630.00014738. What is m rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3416*h + 8. Let m(a) = 1139*a - 3. Calculate -3*b(g) - 8*m(g).\nAnswer: 1136*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -33, -1\/2, -28, 3\/7, 1\/7?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11*1)\/(264\/48).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9767807?\nAnswer: 7, 199343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 403 divide 55201970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 3. Let k(b) be the first derivative of b**2\/2 - 5*b + 2. Let u be k(5). Suppose u = 3*j - j + 4. Give g(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvxhvvhhhhhvhh. Give prob of picking 3 h.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and 114?\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 373551756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 240239*d**2 + 168675 wrt d?\nAnswer: 480478*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -217, -1300, -4191, -9778, -18949, -32592?\n\"Answer: -148*j**3 - 16*j**2 + j - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19491824\/17 - -1146578. Factor -s*f**3 - 384\/17 - 38\/17*f**2 - 224\/17*f.\nAnswer: -2*(f + 3)*(f + 8)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535942 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007 + -745908?\nAnswer: -744901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*b = 66*b - 89320. Is b a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(30)\/(sqrt(10) + sqrt(20)\/sqrt(2) - sqrt(10)))*-3)**2 + -1.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**3 - 3*d**3 - 4*d**3 + (3*d**2 - 2*d**2 + d**2)*(2*d + d - 2*d))*(0 - 2 + 3)*(0*d + 4*d + d).\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755100 is divided by 1202.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5124332*y**3 - 10248672*y**2 - 5124348*y - 8.\nAnswer: -4*(y + 1)**2*(1281083*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 7. Suppose 4*c - 5*c = -10. What is the smallest common multiple of j(0) and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40 and 138220.\nAnswer: -5528800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033709899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -731 - 2808 = -4*o + 5*i, -5*i = -o + 896. Suppose 30*a - o - 12289 = 0. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*z + 2*z + 0*z)*(5 - 5 - 1) + 48 - z - 48)*(5*z**2 - 4*z**2 + 3*z**2) - z**3 + 15*z - 22 - 14*z - 2.\nAnswer: 11*z**3 + z - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*y + 272, 349 = 5*y - 5*g - 121. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5386, 0.0811, 0.5?\nAnswer: 0.0811","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 14.8, -12, -3\/5, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1201212112 (base 4) to base 5\nAnswer: -100243031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 274\/9, -1, 0, 4, 0.5 in descending order.\nAnswer: 274\/9, 4, 0.5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 414415 + 2053?\nAnswer: 416468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1 (c) 5\/2 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-35)\/(-28))\/((-216)\/(-576)*(-2)\/3). Which is the closest to -29? (a) 5 (b) 115 (c) 0.3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(4\/32)\/(2\/(-12)). Suppose -3*u + 1 = -b, -6*b - o = -5*u - 3*b. Solve 0 = -u*p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 1048*y - 4 - 4 + 0.\nAnswer: -1048*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1736 + 1834. What is the remainder when l is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 513, 1758, 4187, 8196?\nAnswer: 14181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/(-12))\/(2\/(-6)). Let o be (-1443)\/(-52) + (-3)\/v. Suppose -4*a + o = u, -4*u + 7*u + 15 = 0. Calculate the remainder when 22 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127 (base 14) to base 4\nAnswer: -3213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 4 - 4)*(2*i**3 - 3*i**3 - i**3) + 3*i**5 + 0*i**5 - i**5 - 1449*i**4 + 1449*i**4 - i + 3*i**5 - 3.\nAnswer: i**5 - i - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 divided by 10656?\nAnswer: 91\/1776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 209\/103 - (-6)\/(-3). Let k = -3202\/309 + a. Let d = 15 + k. What is the common denominator of 121\/6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -385676 * 0.5\nAnswer: -192838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 81 = 2*x, -5*x - 249 = -4*t - 79. Let g = -13 - x. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -23*k**9\/504 - 23*k**5\/60 + 15*k**2. Find the third derivative of m(r) wrt r.\nAnswer: -2760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = 2 - 15. Let h = -18.5 - 95.5. Let o = -111 - h. Which is the third biggest value? (a) i (b) 0 (c) 2\/9 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.184608 microseconds to minutes.\nAnswer: 0.0000004530768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - v**3 - 36*v + 36*v + 2*v**3 + 0*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128384 + 128277 + 4*i - 384949 + 128406.\nAnswer: 4*i + 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4669*n**2 + 4621*n**2 - 9327*n**2.\nAnswer: -37*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36950430 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*d - 10*d + 17*d)*(-10 - 78 - 45)*(2 - 2 - 4).\nAnswer: 8512*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -7. Let o(v) = -v**3 - 3*v**2 - 3*v - 2. Let k be o(-2). Suppose -z - 1 + m = k. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 5*l + 12. Let g be h(-2). Let v be 7*5*4\/10. Let w be (-5)\/g - 7\/v. Solve -3*z = w*z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/3 - (12 - 40\/3). Suppose 4*k = -2*x + 4, -3*k = 2*x - 8*k - 4. Factor -2*t + 10*t + a*t**2 - 4*t**x - 4*t.\nAnswer: -4*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1686928, -3373847, -5060766, -6747685, -8434604?\n\"Answer: -1686919*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110 - 100000001?\nAnswer: -101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*h - 1, -2*f + 3*h = 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttuut. What is prob of picking 1 u and 1 t?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1000100011011000?\nAnswer: 1000100011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.62 + 2.22. Which is the third smallest value? (a) k (b) 0.15 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 > 6\/2177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 149.53 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1029613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 6*t**2 - 12*t**2 + 0.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 a factor of 700649400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22792505 to the power of 1\/2, to the nearest integer?\nAnswer: 4774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -54*k**2. Let h(w) = 31*w**2 + 12*w - 4. Let x(a) = -92*a**2 - 33*a + 11. Let i(q) = -11*h(q) - 4*x(q). Determine i(l(m)).\nAnswer: 78732*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7979\/(-6))\/(-1) - (-36 - -36). Let u = -1319 + n. Find the common denominator of u and 119\/50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1841 and 3.\nAnswer: 5523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/7)\/b)\/b**9 assuming b is positive.\nAnswer: b**(-73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 880\/(-64) - (-6 - 8). Let m = -1 + 0.6. Which is the second smallest value? (a) m (b) 1 (c) 0.2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -7, 31, 69, 107?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114785.\nAnswer: 3, 5, 7, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + b - b - b - 3*b + 2*b + (-2*b + b - b)*(-2 + 1 + 2) + 0*b - b + 2*b - 3*b - b + 5*b)*(-2 - 3 - 4) to the form m + x*b and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k = -5*a + 6, 3*k - 4*a = 4. Suppose 2*r - 7 = s + k, r - s = 6. Solve 5*c = -4*t + 17, 5*c + r*t - 4*t - 8 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 35. Let q(y) = 26*y - 11*y - g*y. Let h(v) = -8*v**2 + 5*v - 5. Let m(f) = -12*f**2 + 8*f - 8. Let d(u) = 8*h(u) - 5*m(u). Calculate q(d(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -64. Solve 3*y - 3 = w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 - 38. Suppose 4*i = 119 + k. Suppose 0 = 9*r + 6 - 87. Calculate the greatest common divisor of i and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 2153712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8988 + -0.1.\nAnswer: 8987.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 79595241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2501.9 and 1104?\nAnswer: 3605.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 5*a + 19, 8*c - 5*a = 7*c + 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 1603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1035\/21 + 48\/(-21) + 2. Suppose 0 = -m - l + 162. What are the prime factors of m?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 3 + 3 + (0 + 0 - 2)*(0*i - 3*i + i))*(i - 4*i + i)*(-505*i**2 + 148*i**2 - 135*i**2).\nAnswer: 1968*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 50*z - 47*z + 393, z = a + 77. Which is smaller: 32\/7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88092585 divided by 12584655?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19385006411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.18 - -7.18. Let b = i + -6.999992. Round b to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-2 - sqrt(24) - sqrt(24))\/(sqrt(300)*-1))**2.\nAnswer: 72\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**3 - 3025*n**2 - 3030*n = 0. What is n?\nAnswer: -1, 0, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*((-123)\/(-30))\/(6\/(-4)))\/((-2214)\/5535)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -45. Suppose l + 3*h = 16, -l - h = -3 - 5. Suppose -l*f - 8 = 0, -2*f = -3*r + 3*f + 46. What is the remainder when t is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/37? (a) -2 (b) -4\/3 (c) 14.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 9*n + 9. Let z be v(-7). Let q be (2 - 0)\/((-8)\/(-44)). Let f = q + z. Solve -p - 4*p = 3*j + 2, p - 5*j = -f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 9:33 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -229895352 divided by -3?\nAnswer: 76631784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1652029*y**2 - 9970*y + 4985. Let l(j) = 994*j**2 + 6*j - 3. What is -4985*l(k) - 3*n(k)?\nAnswer: 997*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 20, o = -5*l - o - 15. Let n be 4*l\/(-2) + 55\/1. Find the second derivative of 43*a - a**4 - n*a - 5*a**4 wrt a.\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1102)\/(-95) - 2380\/(-700)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g**4 - 14*g**3 - 3*g**2 + 36*g wrt g.\nAnswer: -144*g - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 2110250*b + 222657753125.\nAnswer: 5*(b - 211025)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 9*n**5\/5 + 3*n**4\/4 + n**3\/12 + 40. Factor x(m).\nAnswer: m**2*(6*m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15423*f - 56*f**3 + 15423*f)*(7*f + 12 - 3 - 8) to z + i*f + h*f**4 + d*f**2 + y*f**3 and give h.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 8*d + 427. What is n(25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*y + 18*y = 1 - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)*(d\/(d*d**(-2)))\/d*d\/(d\/((d\/d**(3\/5))\/d))*d**(-3)\/d)\/((d\/(d*d**(-1\/3)))**(-4\/5))**(-4\/3) assuming d is positive.\nAnswer: d**(-448\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 - 40*o**2.\nAnswer: o**2*(o - 80)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 728 - 265. List the prime factors of r.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Suppose -z*g + 28 = 4*d, 15 = 5*g - d - 33. Let v = -2 + 6. Calculate the smallest common multiple of g and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1.9. Let x be 52\/(-312)*(-4)\/3. Which is the nearest to x? (a) -1\/3 (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 1 - (-30 - (-18 + 4 + -12))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*y + 1. Suppose -y = -2*r - 2. Suppose w = -2*l + 20, -5*w + l = -r*l - 25. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 3*u**2 - 15*u - 2. Let h = -338 - -344. Let x be r(h). Solve -5*n = -3*d - x, 4 + 2 = -4*d - n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13\/5, -1, 4, -7\/9?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-4206.\nAnswer: 4206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, -26, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.9 - 1.1. Let l = 1.9 - -0.1. Let h = -15 + 19. Which is the closest to -1? (a) l (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 + -1 + -5 + 21 + -25.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -48110 (base 10) in base 6?\nAnswer: -1010422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + 57 + 36 + 6?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -928*x. Let f(p) = 7*p**2 - 84*p + 12. Let k(i) = -51*i**2 + 595*i - 85. Let o(w) = 85*f(w) + 12*k(w). Give y(o(m)).\nAnswer: 15776*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**3\/3 - 7*n**2\/2 + 20*n. Let j be m(-5). Solve -f = -j - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4)\/(-10))\/(12\/900) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.66 - -0.34. What is the second biggest value in 4, t, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46135.51 + 46008. What is j rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -18, -92, -240, -486, -854, -1368, -2052?\nAnswer: -2930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-36)\/(-20))\/((-2)\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/24*190\/12 and 149\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 - ((-8 - -6 - -25) + -9)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2819 + -0.0167. Round s to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.22 + -16.22. Let s be ((-2)\/(-3))\/(7\/(-3)). Which is the second biggest value? (a) s (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, 19, 30, 43?\n\"Answer: i**2 + 6*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 1, g: 2, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56 - 1?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2556 and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -40*y - 1. Give g(2).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 139\/141701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(2106\/(-2628)) - 1\/(-13)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -299 + 453. Find the first derivative of 6 + 151*c + 4 - y*c wrt c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2227565?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:11 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-2 - 0 - -7). Suppose -4*w = -3*w - 7. Calculate the least common multiple of 114\/10 + h\/5 and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-3\/2))**(-1)\/(a\/a**(-15)*a*a**23) assuming a is positive.\nAnswer: a**(-85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29 + 36 + 30*n**3 - 61 + (5*n**2 + 0*n**2 + 4*n**2)*(-2*n - 2*n + 2*n).\nAnswer: 12*n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -380*a**2 + 1156*a**2 - 375*a**2 - 384*a**2 + 59*a**3 wrt a?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4047 is divided by 113.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25, -104, -235, -418, -653?\n\"Answer: -26*z**2 - z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**2 + 2*r - 1. Let l(k) = -9*k**2 - 3*k + 2. Suppose 2*d - 5*g = -21, 5 = 5*d + 4*g - 5*g. What is d*l(m) + 5*y(m)?\nAnswer: 2*m**2 + 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6237392?\nAnswer: 2, 7, 55691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126 - 126.0000107. What is w rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -5. Let q = o - 4. What is the second derivative of 0*k**2 - k + 0*k**q - 2*k**2 wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhvh when four letters picked without replacement from hhwwvdnvvvvwvbbbbdvv.\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 758 - 286. Suppose 0 = -3*q - 25 + h. What is the remainder when q is divided by 6\/((-324)\/(-585)) - (-2)\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 3:16 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(432)*4 - -6*(sqrt(432) - 2*sqrt(432))) + 4)**2*4.\nAnswer: -6912*sqrt(3) + 559936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 13. Suppose -3*a + a + 4*o - 20 = 0, 30 = 5*a + 6*o. Solve -s = 3, q*v - 4*s + 2 + 2 = a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*2)\/((-9548)\/651)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 11*a**2 + 8*a - 19. Let z = -27 - -36. Is f(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 3*t - 1. Let z be i(7). Let v = z - 16. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/83664 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 995.3745 kilometers in micrometers?\nAnswer: 995374500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10280*h + 16*h**2 + 10*h**3 - 5132*h - 5140*h + 2*h**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**3 + 121*u**2 - 74*u + 323. Let x be j(-41). Let i = 0.11 - -3.89. What is the fourth smallest value in -0.2, 1\/10, i, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-1836)*0)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1209.2 + -1209. Which is the nearest to -1.4? (a) 6 (b) 4\/9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 5*q**2 - 3*q - 23. Let u be z(-5). What is the highest common divisor of 66 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 divided by -9?\nAnswer: 184\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**3 - 2*q**3 - q**3 - q**3 - q**3 + q**3 + (-q + 0*q - q)*(4 - 4 + 2*q**2) - 3*q**3 + 3*q**3 - 2*q**3 - 5*q**3 + 8*q - 7*q - 19*q**3)*(4*q + 5 - 5).\nAnswer: -116*q**4 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -549 by -6.\nAnswer: 183\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 14) to base 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 28 = 2*f, 2*f = -5*m + 222. Let l(a) = a**3 - 4*a**2 - a. Let t be l(5). Calculate the highest common divisor of m and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-3))\/(4\/(-6)). Let a be -2 - 2\/g*-9. Suppose 7 + 5 = -4*q, 65 = 2*l - 3*q. What is the greatest common factor of a and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m + 103 + 32. Let s be 2*m*(-8)\/16. What is the third derivative of -32*g**5 - 25*g - s*g**2 + 25*g wrt g?\nAnswer: -1920*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0121, 1.6, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**4 + 2*d**4 + 2 + d - d**4 - 1 to the form z*d**3 + i + f*d + v*d**2 + b*d**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(66)*1)\/(sqrt(60)\/(4*sqrt(90))).\nAnswer: 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2. Let u(v) = 2155*v. Determine z(u(w)).\nAnswer: 13932075*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.501071 to two decimal places.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v. Suppose -g + 2*o + 3*o - 17 = v, -o - 35 = -5*g. What is g rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7228084.5 to the nearest 1000.\nAnswer: 7228000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10\/3 - 4. Let o = -0.138556 + -0.061444. Which is the third biggest value? (a) -1\/4 (b) o (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 520 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -49104 at least as big as 598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-2)\/(-2))\/2*-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.655 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/519 - 1378\/1557. Let k be (19\/57)\/(1\/(-75)). Let j be 1*-1*(k - -25). Which is smaller: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 19 - 3 = 0. Suppose -5*j + 3*s + 26 = 0, 3*j - 2*s + r - 19 = 0. Let a = 8 - 6. Solve j - a = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185184 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102414*b = -102106*b + 21560 for b.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0543 + -0.088. Let n = a - 2.9663. What is the fourth biggest value in n, 3, -1\/5, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*k**4 - 9933*k**3 + 131*k + 1773 wrt k.\nAnswer: -168*k**2 - 59598*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-8)\/(-4) + -2. Let s be -3 - (-3 - 3) - l. Suppose 0*g - s*f = 5*g + 555, 0 = 4*f. What is g rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(-336*k + 169*k + 32 + 164*k) as h + s*k and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 27*p - 45. Give z(25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 7. Differentiate -f + 5 + 4 + 6 + 32*k wrt k.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 8) in base 6?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 31655.\nAnswer: 31655.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1076 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 154728.2 times 38.4?\nAnswer: 5941562.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 3\/356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 55 - 47 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 10290000 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*z - m, -197*m + 201*m = -5*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1420889 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((2408\/(-559))\/28)\/(21\/3)\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -231 + 2124?\nAnswer: 1673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21168 = 33*p + 3*p. Calculate the common denominator of ((-2)\/(-4))\/(4\/(p\/573)) and 145\/18.\nAnswer: 3438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-72 + 85)\/(2\/6). Let d = i + -271\/7. Solve 0*y + 0*y**2 + 0 + d*y**3 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2. Let k(q) be the first derivative of 0*q + 8\/3*q**3 + 23\/2*q**2 - 114. Determine k(s(z)).\nAnswer: 32*z**4 + 46*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -33, -41, -53, -69, -89?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 173 - 341 + 169 - 2*x - 603*x**2 as c*x**2 + g*x + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -99 + 17 + (-4 - 6) + (6 - 20).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2475002*b + 8. Let a be k(-4). What is a rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkckccc. Give prob of picking 2 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 30*w + 17. Calculate x(-3).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1615*t = -120*t - 47840 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.24 + 0.214. Round g to 3 dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -319 + 2229\/7. Let g = -224 - -227. Which is the biggest value? (a) 5 (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1008)*-1)**2 + (sqrt(5103) - 1*sqrt(5103))**2 + -1.\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 6 - 2) + 1 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 984, 1977, 2980, 3999, 5040, 6109, 7212?\nAnswer: 8355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 5*b - 146, 0 = q + b - 55 + 7. Let a = q + 1. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64633 - 64625. Let i(z) = 3*z**2 + 8 - 7*z**3 - 7*z + 11*z + 7*z. Let c(p) = -5*p**3 + 2*p**2 + 7*p + 5. What is h*c(o) - 5*i(o)?\nAnswer: -5*o**3 + o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (-6 - -6)) + -19\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sujjgjs. Give prob of sequence jsgs.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence my when two letters picked without replacement from wwywykmw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t - 157 = 673 - 127 for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1021*o**5 - 13*o**3 + 5*o**2 + 273229*o?\nAnswer: 20420*o**3 - 78*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0 + 0 + (k - k - 9*k)*(0 + 1 - 4))*(k**3 + k**3 - 5*k**3).\nAnswer: -78*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -6. Suppose 0 = 4*z - a - 129. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -275200 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 27 + 2 = 4*d, 4*w - d = -20. Sort 0, -22, -0.4, 1, w.\nAnswer: -22, w, -0.4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 323*m + 1205. Is g(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqbqb. What is prob of sequence bqq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -10. Suppose s - w - 22 = 0. Calculate the least common multiple of s and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (22\/264)\/((-2)\/438) and 53\/124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 + 167 + 4*c - 3*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {g: 1, v: 7}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**5\/60 + 5*m**4\/24 - m**3 + 34*m**2. Let l(q) = q - 22. Let b be l(16). Calculate s(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104159338 + 7*m - 104159338.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4232*t**2\/9 + 184*t\/9 + 2\/9.\nAnswer: 2*(46*t + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3807\/2 + 1905. Suppose d + 8 = -5*m - d, 0 = 4*m + d + 4. What is the third biggest value in m, w, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2)\/o)**24*((o*o\/(o**6*o*o)*o)\/o*o)\/(o\/o**(-7)) assuming o is positive.\nAnswer: o**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5))\/(2\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54871396?\nAnswer: 2, 103, 133183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 10:17 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 z, and 1 v when three letters picked without replacement from zjzvvzhzzhzz.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 18125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/29 + 443\/290. Let v = -13\/10 + i. Solve -v + 4\/5*m - 2\/5*m**2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -378 - -428. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62\/(-155)*(-1)\/(-2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 - 62 - 64 + 186 + 3*u - u**2 + 2336*u**3 in the form v + d*u**2 + w*u + t*u**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33864*k + 33881*k - 149481. Is k less than or equal to 8794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -400 + 1227440?\nAnswer: 1227040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3879 and 7093829.\nAnswer: 63844461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/674 and 49\/6.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -109\/4051 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*329\/1128*1*12\/(-14).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/(-2*1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 835, 4440, 13511, 30748, 58851, 100520, 158455, 235356?\nAnswer: 333923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 532 = 383. Calculate the remainder when k is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -569 - -571. Suppose l*w + 2*w + t = 316, -5*t + 380 = 5*w. What is the remainder when 159 is divided by w?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -733*w**2 + 324*w**2 + 8 - 40 + 333*w**2 + 32.\nAnswer: -76*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6047*k + 1562*k - 1 + 4800*k to m*k + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 257615368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + r + 2*r)*(2 + 4*r**2 - 14*r**2 - 6*r**2 + (-r - 3 + 3)*(1 - 2*r - 1)) as w*r + p*r**2 + s + v*r**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*x**4 - 217667832*x**3 - 296805437.\nAnswer: -8*x**3 - 653003496*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -119 * -0.1\nAnswer: 11.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 527*u - 534*u - 3*i, -u - 3*i - 5 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 559818 = -2*h + 50*h. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.32. Let i = 67 - 67. Let n(w) = 6*w + 3. Let l be n(i). Which is the closest to -0.1? (a) l (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5466.723 days in microseconds?\nAnswer: 472324867200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 4:55 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**4\/4 + 2*q**3 + q**2\/2 - 5*q - 23. Let h be x(6). Let p(z) = -13*z**3 - 1. Determine p(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 3, 7.9, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 144.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*((h\/h**(2\/3))\/h*h)\/h)**(-28)*(h*h\/h**(2\/5))**(5\/2))**(-1\/10))**35 assuming h is positive.\nAnswer: h**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d - 65*d + 32*d + 10*d + 2*d + 4*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 4\/649 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1480*n - 179 - 4023*n + 179 to the form j*n + t and give j.\nAnswer: -2543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 + 5 - 5 - 78*o.\nAnswer: -78*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a + 4*a - 3*a + (0 + 0 - 2*a)*(-4 + 0 + 2) - 3 + 3 + a - 2*a + 5*a - 9*a - 14*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9695132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*(-5 + (1 + sqrt(16)\/(sqrt(2)*2)*-4)**2)*2*4.\nAnswer: -64*sqrt(2) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38095 and 1516105?\nAnswer: 607958105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 d, and 2 u when four letters picked without replacement from {q: 3, s: 1, m: 1, d: 2, t: 7, u: 3}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n + 6 - 4*n + 3*n - 2*n. Let c be l(-3). Find b such that -2\/3*b - 2\/3*b**5 - 1\/3*b**4 - 1\/3 + 4\/3*b**c + 2\/3*b**2 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5 + 3 + 0*u + 4 + u. Let l be y(-4). Let j(i) = 2*i**2 + 2*i**3 + 77 - 77. Determine j(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*l = 57*l + 737*l - 94710 for l.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**6\/3 - 14*w**5\/5 - w**4\/2 + 14*w**3\/3 - 828. Factor u(y).\nAnswer: 2*y**2*(y - 7)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.560112 nanoseconds to hours.\nAnswer: 0.00000000000348892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 8*u + 3*u - 40, 4*z + u - 16 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 9\/(-15) - 6\/(-15). Suppose -2*n + 5*o = -5, -29 = -c*n - 2*n - 4*o. What are the prime factors of (2 + (4 - n))\/(3\/501)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five halves of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 31 + 22 - 9*t + 29 + 27 - 110. Let x = 4 - 6. What is n(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - l - 4. Suppose -2*j + 13 = -5*b, -5*j = -2*b - 8*j - 9. Let n(m) = m**2 - 7*m + 6. Let k be n(6). Let r = k + b. What is t(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2 - 0. Suppose -86 = -a*r + 2*x, -2*r + 5*x = x - 82. Let m = -16 + r. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 805314.3801035 + -805314. Let t = j + -0.38. Round t to 6 dps.\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -57. Let a(o) = 2*o**3 - o**2 - 2*o + 270. What is the smallest common multiple of 16 and a(j)?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -17 (c) -7947\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-5 + 4) - 2. Suppose -s*y + y = -4. What is the least common multiple of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 140, 142, 144, 146, 148, 150?\n\"Answer: 2*n + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + z - 7 = -5*i, 7 = 2*i - 3*z. Solve 1 = -t + i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 956584 divided by -4\nAnswer: -239146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4\/9 - 916*c**3\/9 - 116080*c**2\/9 - 4535084*c\/9 - 491102 = 0.\nAnswer: -279, -89, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 q when three letters picked without replacement from {m: 2, j: 2, q: 2, v: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/6 - 160\/6. Let u = 385 - 337. Let r = u + c. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -1085 in descending order.\nAnswer: -1, -2, -1085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let r(u) = 7*u - 61 - 9*u + 57 + u. Let c(j) = j + 1. What is i*r(t) + 2*c(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -5, 11.\nAnswer: -5, -4, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 11 - 15 = 0. Let n(d) be the first derivative of 0*d**3 - 2*d + q + 1\/5*d**5 + 0*d**4 + 0*d**2. Find the first derivative of n(y) wrt y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/(u*u*u**(1\/10)*u*u))\/(u**(-13)*u**(2\/41)*u) assuming u is positive.\nAnswer: u**(3219\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -133141142134?\nAnswer: 133141142142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2547 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9864 + 0.09?\nAnswer: 2.0764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*t - 143667 = 33*t - 122370 for t.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2773.\nAnswer: 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -1033?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 70.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 0*z**3 + z**3)*(-2*z + z + 3*z) + z**4 + z**4 - 4*z**4 + 214*z**2 + 61*z**4 - 214*z**2.\nAnswer: 63*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -496.8 + 559. Let a = -62.1999545 + o. What is a rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6198, -12409, -18620, -24831, -31042?\nAnswer: -37253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 3:00 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -36\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**4\/36 + 23*c**3\/3 + 1587*c**2\/2 + 6*c - 12. Find o, given that w(o) = 0.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 6*n**2 - 11*n - 4. Let u be x(-4). Let d = -16 + 16. Solve d*z - z = 5*l - 23, -2*l - z + u = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-55)*(-1)\/((-32)\/(-6) + (-686)\/294).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3307 + 3309. Suppose -2\/5*z**4 - 18\/5 + 4\/5*z**r - 24\/5*z + 8\/5*z**3 = 0. What is z?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 - 2*k**2 + 12*k. Let l be p(4). Let c = 144 - l. Suppose 2*i + 6 = -2*t, 3*i + 3 + 0 = 0. Sort c, -1, t in increasing order.\nAnswer: t, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**42*s**19)**(-28) assuming s is positive.\nAnswer: s**(-1708)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 61372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -104*i**3 + 92. Let r(h) = -2*h. Give r(m(j)).\nAnswer: 624*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3276 divided by -4.\nAnswer: -819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1130839 and 16459?\nAnswer: 123261451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5652 - -8150. What are the prime factors of u?\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141*v**3 - 328030*v**2 + 328026*v**2 - 25*v**3 to l*v + b + q*v**2 + d*v**3 and give d.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -141020 divided by -3205\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by -86.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1513907, -1513969, -1514073, -1514219?\n\"Answer: -21*z**2 + z - 1513887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 984 and 982 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2626*x. Let k(t) = -1401*t - 1. What is k(b(f))?\nAnswer: 3679026*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 9 + 0 = 0. Let q(c) = 27*c + 7. Let a be q(m). Let z be a\/(-12) + (-7)\/42. Solve -3*d + d = z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -2*i**3\/3 + 1. Let b = -130 + 130. Let y(p) = b*p + 2*p - 3*p. Give y(o(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - -47) + -27 + -31?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59542 is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (193336\/(-176))\/(-169) - (140\/(-18) - 6\/27).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -205, -1212, -2887, -5230, -8241, -11920, -16267?\n\"Answer: -334*y**2 - 5*y + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 82, 89, 88, 79, 62, 37?\n\"Answer: -4*r**2 + 19*r + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**4\/13 - 48384*g**3\/13 - 243163584*g**2\/13 + 598302609408*g\/13 - 305821666533888\/13 = 0.\nAnswer: -13044, 948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 59. Let w = 12 + -25. Let a = w + m. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2067 (base 9) to base 10\nAnswer: -1519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*-6*((6*(-2 + sqrt(252)) + (sqrt(252) - (sqrt(252) + -1*sqrt(252) + sqrt(252) + -1)))**2 + -2) + 5.\nAnswer: -19008*sqrt(7) + 220589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1774220 and 10108.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 + 30 + 195 = -4*n + 7 for n.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + l**2 + l - 1. Let u(b) = 28*b**3 - 20*b**2 - 28*b + 20. Let w(n) = -u(n) - 24*y(n). Suppose w(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 5:42 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -461989464 by 831.\nAnswer: -555944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5553 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2628 divided by -438.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-220)\/(-35) + 4\/(-14). Suppose -69 = -x - 3*n, x + o*n = n + 63. What is the remainder when x is divided by 164\/6 + (-1)\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y - 24 = 0. Let c(u) = u**3 + 5*u**2 - 3*u + 1. What is the remainder when c(-5) is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 <= 5\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 6, -11820, -4, 3, 1 in ascending order.\nAnswer: -11820, -4, -1, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-870 + 1594 + 390)*(-2 + 0 + 4)*(2*q**2 + 4*q**2 - 4*q**2).\nAnswer: 4456*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 less than -2.269251?\nAnswer: -0.469251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -19445100 to the nearest 10000.\nAnswer: -19450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27045 and 10818.\nAnswer: 54090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 4:42 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 541, -0.02, 10\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4971397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 184 + -179. Calculate the highest common factor of q and 1370.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1668000, -4, -13 in decreasing order.\nAnswer: 1668000, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-1 + (-545)\/(-535)). Let j = k + 87. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7932 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -9. Let d = s + 2. Suppose -33 = -j - d*j. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 11248.\nAnswer: 4499.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1372, 5439, 12232, 21763, 34044?\n\"Answer: 2*z**3 + 1351*z**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2 - 5*n - 8. Let k(c) = c**2 - 2*c - 4. Let d be -2 + 165\/24 - (-2)\/16. Determine d*k(j) - 2*w(j).\nAnswer: -j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -610 - -1016. Is a a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 11:12 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from fffffffsfnfonfno?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -34 (b) 2\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5835406903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - -1)*(1 - 0). Let i(y) = -13*y**3 + 7*y**2 - 12. Let b(t) = 2*t**3 + 1. Let g(h) = 6*b(h) + i(h). Determine g(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 15) to base 13\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/140 and -149\/29484.\nAnswer: 147420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2317845492 and 684?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 88.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 = 4*k - k, 3*k + 2*z = 0. Let n = k + 1. Let r be (2 - n) + (-14)\/(-10). Which is the closest to -2\/7? (a) -0.3 (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263060 + 8*d**3 - 13*d**3 + 263060 - 108*d**2.\nAnswer: -5*d**3 - 108*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138820145*g**3*i**2 + 2*g**3*s - g**2*i**2 + g**2*s + g**2 - g*s - 45403634*i**2*s wrt g.\nAnswer: -832920870*i**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -0*s + 3*s - k, -2*k = -8. Let i = s - -4. What is the remainder when 54 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**7\/280 - h**5\/60 - 4*h**3\/3 + 3. Let r(d) be the third derivative of j(d). Find the second derivative of r(f) wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/25 (b) 1\/5 (c) -11\/6 (d) 23 (e) -13 (f) -5 (g) 2\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3329, 35, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*z - 3414 = -4464 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14649.05*-0.061\nAnswer: 893.59205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1211016, -2422010, -3633004?\n\"Answer: -1210994*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -257 - -383. Suppose 5*f = 2*z + z + 122, -4*z - y = -5*f. What is the remainder when 96 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + k = 10*r + 11, 4*k = 3*r + 6*r + 49 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u - 33 + 321. What is the remainder when u is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 5*w - 14, 4*w = u - 55. Let z = u - 32. Suppose 4*m - 35 = -0*j - 5*j, -3*m = -z*j - 60. What is the highest common divisor of 165 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*b**2 + 251 - 2*b - 226*b**2 - 253 - 2*b in the form x*b**2 + y + k*b and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, 5, 46, 103?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3629533 is divided by 62.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1625.5, 3 in increasing order.\nAnswer: -1625.5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23241 (base 5) in base 8?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2918 - 8?\nAnswer: -2926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/26*55\/110\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6*v - 363 = 7*v, 0 = -5*f + v + 903. What is f rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**3 - 24*v**2 + 50*v - 2 wrt v?\nAnswer: -12*v - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 3871?\nAnswer: -1\/3871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 7 - 25. Suppose 9 = 2*y + 2*y - 3*i, -y - t = -3*i. Calculate the highest common divisor of 18 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160 divided by -6?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -3 + 5*-1. Let f(c) = c**3 + 8*c**2 + 8*c + 6. Let g be f(t). Calculate the highest common divisor of 12 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 783.\nAnswer: 26622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.59117 to two dps.\nAnswer: -18.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 251*n**2 + 10*n + 140. Is r(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 5 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -28*b**3 + 6. Let p = -2194 + 2189. Let u(o) = -27*o**3 + 5. Calculate p*c(w) + 6*u(w).\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 10 = 4*u, u + 11*a - 7*a + 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*b**3*p**3 + 5*b**3*q + b**2*p**3 - b*p**3*q + 2*b + 6*p*q with respect to q.\nAnswer: 5*b**3 - b*p**3 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20 - 23)*(4\/10 + 3388\/(-8745)). Let d = -26.2 + 26. Let w = 9 + -14. What is the smallest value in w, d, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506 - 506 - 5*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 - -68. Suppose 5*k = 7*k - 4*x - 36, -x + 51 = o*k. Solve -6*i + 0*i = k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/11)*o**4\/o)**(-47) assuming o is positive.\nAnswer: o**(-1974\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**4 + q**2 - q. Let p = 50 + -51. Let m(u) = -3*u**4 + 20*u**3 - 37*u**2 + 29*u - 8. Let s(b) = p*m(b) - a(b). Factor s(o).\nAnswer: 4*(o - 2)*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0, 1\/5, -0.4, -3718?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0)\/(1\/1). Let q be 8 + c + -1 - -1. Let r = q - -3. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 3*y - 2. Suppose 3*v + 15 = -w - 2*w, v = -3*w - 1. Let d(b) = 4*b**2 - 10*b - 6. Let x(i) = v*g(i) + 2*d(i). Does 12 divide x(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*g + 4*q - 33, 5*q + 25 = 5*g. Let m(l) = -9*l - 47. Let h = 10 + -16. What is the lowest common multiple of g and m(h)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 8 = -2*s, 5*p + 4 = 4*s - 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 0, c - 36 = t - 3*t. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -g - 3. Suppose 5 = a - g. Suppose -5*x + a + 1 = 2*t, -x + 3*t = 2. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4612, -3727, -2850, -1987, -1144, -327, 458, 1205?\n\"Answer: -h**3 + 2*h**2 + 886*h - 5499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 + 4*w**4 - w**2)*(-77 + 16 + 11) as z*w + u*w**2 + f + j*w**4 + a*w**3 and give j.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5112, 1, -6672.\nAnswer: -6672, -5112, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3570*h**3 - 3570*h**3 + 226*h**4 + (6*h**3 + 2*h**3 + 6*h**3)*(-2*h + 0 + 0).\nAnswer: 198*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26570 + 27256. What is the smallest common multiple of k and 80?\nAnswer: 27440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000529 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -322, -729, -1298, -2029, -2922, -3977?\nAnswer: -5194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 73 - 19. Suppose -8*u = -11*u + l. Let r(x) = -x**3 + 13*x**2 - 12*x + 3. Let h(f) = f**2 - f + 1. Let m(o) = 6*h(o) - r(o). Determine m(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/(-78) - 731532\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (1696\/(-4) + -2). Suppose 4*w + 2*k = -z, 5*w + 0*k + 2*k = -533. Let o = w + 137. What is the remainder when 61 is divided by o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v + 3*v**3 - 85 + 4*v + 95 - v**3 + 0*v**3 to the form t*v**2 + j*v + g*v**3 + l and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*n + 66 + 74*n - 67 + 78*n.\nAnswer: 191*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -967*u = -990*u - 276 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3570*q - 42615. Determine x(-12).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-90)\/12*(-10)\/(-15). Which is the second smallest value? (a) 5 (b) q (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/126*7)\/((-4)\/15).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - 5.1. Let d = 0.068 - 0.368. Which is the closest to -1? (a) y (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**5\/15 + 22*i**2. Let y(t) be the third derivative of 0*t - t**2 + 0 + 0*t**4 + 0*t**3 - 1\/60*t**5. Give a(y(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -524224.\nAnswer: -2621120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**18*b)\/b)\/(b\/(b\/(b*b*b**(8\/3)))))\/(((b\/b**(-3\/13))\/b)\/(b**(15\/2)\/b)))**(-1\/15) assuming b is positive.\nAnswer: b**(-1529\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - 30\/50*-25?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 201115 and 870.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**3\/3 - 9*z**2\/2 + z. Let o be f(-6). Let t(y) = -y**3 + y + 0*y + 2 - o*y + 0*y + 4*y**2. Calculate t(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 268125370 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**7\/1260 - m**4\/24 - 3*m**2. Let z(q) be the second derivative of c(q). Let h(d) = 4*d. Determine h(z(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u. Let g be o(2). Let q be (14385\/28)\/((-3)\/g). What is q rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75705, 2.8, -3, -6 in increasing order.\nAnswer: -75705, -6, -3, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*l**3 + 2*l - 2*l**2 - 3*l**3 - 13*l**3 - 46*l**3 - 4*l - 2 as u*l + v + d*l**2 + w*l**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 + 4 = 0. Let z(n) = 76 - 80 + n + 4*n - p*n**2. Give z(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**5*g**(1\/5))\/(g**(-1\/2)\/g)**(-1\/18))**(-2\/19) assuming g is positive.\nAnswer: g**(-307\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 27*l - 184. Let w be o(14). Let k(q) = 9*q + 3. Let y(x) = 8*x + 2. Determine w*k(f) + 3*y(f).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**5\/2 - 3*t**4\/2 - t**3\/2 + 3*t**2\/2 + t = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*r - 26*r**2 + 22*r**2 + 116*r + 2*r**2 - 63*r in the form y + n*r + z*r**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0866 and -1.1.\nAnswer: -1.1866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3185448546 to the nearest integer?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2734*f*i*r**3 - 2731*f*i*r + 2*i*r**5 + 3*i*r wrt r?\nAnswer: -16404*f*i*r + 40*i*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*-4 - (2 + -5). Let q be f\/(-2) - 17\/(-34). Suppose -3*k + 673 = q*s + s, -894 = -4*k - 2*s. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/(-3))\/(-5)*-3. Let c = -3 + 1. Which is smaller: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 - 2*l**4 - 2*l**4 + (1969 - 1969 - 345*l**3)*(0 + 0 - 2*l).\nAnswer: 688*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 5:06 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11011 (base 4) to base 14\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 873 - 913 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 1, 4, 9, 16, 25?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**5\/20 + 69*u**4\/2 + 277*u**3\/2 - u**2 + 522. Solve k(f) = 0.\nAnswer: -1, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8202 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, -0.1, -0.2, 0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -1\/5*s**5 - 5\/21*s**7 + 0*s**2 + 0*s**4 - 3*s - 9\/2*s**3 + 0*s**6 - 2. What is the second derivative of a(n) wrt n?\nAnswer: -200*n**3 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 98 = -68 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -7. Suppose 2*k + 37 = 3*d + 2, -30 = -3*d + 3*k. Calculate the least common multiple of ((-11)\/3)\/(q\/d) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 1\/36235 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 58 (b) 2\/17 (c) 0.1 (d) 38\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 433 + -475.8. Let x = 40 + c. What is x rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -2.1. Let z = -1.9 - m. Let l = 1069.8 - 1070. What is the third smallest value in z, l, -4\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14004252, -28008505, -42012758?\n\"Answer: -14004253*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 10*r**2 + 9*r - 8. Let g(m) = -m**3 - 2*m + 3. Let d be g(2). Let i be z(d). Is i > -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2491, -5128, -7763, -10396, -13027, -15656, -18283?\n\"Answer: n**2 - 2640*n + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 6 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31396 and 8016?\nAnswer: 376752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -5.3\nAnswer: -2.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2*c - 112, 57 - 13 = x + 4*c. Let m = 70 - x. Let a = 95 + m. What is the remainder when a is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciccccciicc. What is prob of sequence cci?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m - 2*m + 3*m + 4*m. Let c be x(3). Suppose -i + 12 + 33 = 5*z, -5*i = 0. Calculate the greatest common divisor of c and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22010 and 8?\nAnswer: 88040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*q - 84 + 78 + 279 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -334 - -231. Let i = -103.4 - v. Sort 5, 1, i in descending order.\nAnswer: 5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1218562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l. Let u be z(18). Suppose 11*v + u = 14*v. Calculate the smallest common multiple of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 2 + 32*p - 32*p)*(-26*p**3 - 17*p**3 - 20*p**3).\nAnswer: -63*p**5 - 126*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/244611180 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 7. Let n be q(5). Let k = -71 - -74. Calculate the highest common divisor of n and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 357560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 11*x - 10. Let i be a(10). Let q be 1 - (i + 8 - -1). Let o = q - -38. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 u when four letters picked without replacement from uuuuuuumduudkukuukud?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0. Let i = -0.2 + o. Let a = 0.4 + i. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1200277 + 16*o + 600061 + 600076)*(3 - 5 + 5) in the form b*o + p and give b.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 11:12 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2696 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 17. Let t be -2*((-3)\/(-2))\/3. What is the nearest to q in -1\/5, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*k = 176, 22*k = -3*n + 26*k + 107. Suppose -4*l + 332 = 4*t, 0 = -2*l - t + 33 + 132. Calculate the greatest common divisor of n and l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -18, 5, -7, 15, 0 in increasing order.\nAnswer: -18, -7, 0, 1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 240.1.\nAnswer: 239.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -30\/19, 5, -2\/13, -103, 3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1422, 1430, 1452, 1494, 1562, 1662?\nAnswer: 1800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 + 203*a - 414. Calculate v(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 + 91.004. Let u = 0.0057 + w. Round u to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 + -5)\/((-1)\/(-21)). Suppose 2*t - t - d = -z, -2*z = -2*t + 164. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 4:37 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/20 and -9\/15508?\nAnswer: 77540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2574 and 5720.\nAnswer: 51480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45632245 - -4?\nAnswer: -45632241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 1350.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*a + 2*a**3 + a**2 + 54*a - 68*a + 320*a in the form k*a**3 + w + m*a + b*a**2 and give m.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/53389 and -109\/91524.\nAnswer: 640668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 920 + -381. Which is bigger: 543 or s?\nAnswer: 543","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 2. Let b be m(0). Let l = 0 - -1. What is the third derivative of -l + 2 - p**4 - 1 - 5*p**b wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 188.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00306298397 rounded to five dps?\nAnswer: 0.00306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*i = -3, 2*x - 6*x + 5*i = -40. Let h = -13 + 18. Suppose -4*j + x = -h. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -5 in ascending order.\nAnswer: -5, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 6 - ((4 + -2 - 71) + 3)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5179025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6459 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 2*q = 25*d + 29, d + 4*d + 6*q + 7 - 2 = 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 1. Let l(s) = 13*s**3 + s**2 - 51. Determine l(g) + 2*q(g).\nAnswer: 13*g**3 + 3*g**2 - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -47959, -191787, -431469, -766981, -1198299, -1725399?\n\"Answer: 4*d**3 - 47951*d**2 - 3*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-81)*6*30\/(-4). Let z = -0.36 - -0.06. Sort -5, j, z in increasing order.\nAnswer: -5, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17.4779 and -0.025.\nAnswer: -17.5029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 1\/3*z**3 + 0*z**2 - z + 1. Let l be (9\/5)\/(105\/175). Determine d(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 773.92 + -774. Which is the closest to -1\/2? (a) o (b) 2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199 + -138 - 110 - -23*1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**(-2\/5)*c)\/c)\/(c*c*(c**(2\/13)*c)\/c*c))\/(c*(c*c**(-4))\/c*c)**(-2\/67) assuming c is positive.\nAnswer: c**(-11382\/4355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8 + 3\/(-12). Suppose s = -3*x - x + 4. Solve -x = -p - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 3*w - b, 25*w - 28*w + 5*b + 193 = 0. Let p = 307 + -143. What is the remainder when p is divided by w?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 6:59 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2851315 and 485?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - -167. Suppose 0 = -7*c + 2*c - o. Let y = -24 - c. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (0 - 11) - 7\/(-1). Let m(u) be the second derivative of 5*u + 1\/6*u**3 + 0*u**k + 0. Let q(h) = 2*h. Give q(m(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/c*c**4*c)**(-1\/3) assuming c is positive.\nAnswer: c**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 354\/145?\nAnswer: 354\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times 0.04?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*z = 0, 0*i - i + 32 - 12 = 2*z - 3*z for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 16*w - 13. Let o be 17\/(1\/(3\/3)). Let v be b(o). Suppose -4*r - 10 = -v*s + 2, 0 = -r + 3. Solve 3*h - s = -0*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/((-44)\/(-12) - 3). Let a(i) = -2*i + 17. Let x be a(0). Let f = x - 18. Which is greater: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -15*k**2. Let u(i) = -1111485*i. Calculate r(u(q)).\nAnswer: -18530983578375*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50540.66 + -50532.759934. Let a = 7.9 - r. Round a to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-72)\/33 - 2 - 16\/(-88). Let c(n) = 6*n**2 - 6*n + 4. Let h(k) = 7*k**2 - 7*k + 5. Give q*h(v) + 5*c(v).\nAnswer: 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81*d**5 + 153*d**5 + 8*d**2 - 6*d**2 + (-d + 0 + 0)*(-2*d**4 - 2 + 2).\nAnswer: 236*d**5 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/(-7)*9584\/(-120)*(-66)\/(-4) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -5*r**2\/2 - 7*r - 7. Differentiate j(z) wrt z.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1051425 - -164?\nAnswer: -1051241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f + 92. Let t be v(21). Solve t*l + 13 = -11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4, -4*k + 0*n + 32 = n. Let y(b) = 2*b - 6. Let j be y(k). Suppose j*p - 209 = 259. Calculate the greatest common divisor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 135\/10 + (-2)\/4. Let b(z) = h + 22*z - 10*z + 3*z**2 + 5*z - 4*z**2. What are the prime factors of b(14)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*x - 4, 8*x = 4*x - 4. Let l(t) = -t**2 - 9*t + 10. Let j be l(n). What is the greatest common factor of 70 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 + -53. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35.902 + -36. Let t = 0.002 - y. Which is the fourth biggest value? (a) t (b) 1\/3 (c) 2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/7 - (-96)\/21. Suppose z - 8 = i*n - 3, 5*z - 25 = n. Find the third derivative of -10*m**2 - 39*m**5 + m**2 + 28*m**z wrt m.\nAnswer: -660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 14083?\nAnswer: 14082.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and 0.557.\nAnswer: -10.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (0 + -1 + sqrt(1216) + sqrt(1216))**2 + -4 + sqrt(1216) + (sqrt(1216) + 1 - sqrt(1216)) + 3)*2 + -1 + 1.\nAnswer: -48*sqrt(19) + 9722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 0. Suppose m - 4*f = -3*m - q, -5*m - 6 = -4*f. Let k = -2 + 2.1. What is the third biggest value in m, k, 3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10350 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.04, -122, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*3 + (-2090)\/312 + (-351)\/(-468).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3607, 3608, 3609, 3610, 3611?\nAnswer: 3612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 d when four letters picked without replacement from {f: 2, d: 1, j: 1, p: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.238447649 rounded to three decimal places?\nAnswer: 0.238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153600\/7*o + 2\/7*o**3 + 960\/7*o**2 + 8192000\/7 = 0. What is o?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1507 (base 14) to base 4\nAnswer: -322103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-2)\/2 - (-420)\/(-150)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249 - 182 = 36*q - 257 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 127633 (base 16) to base 2\nAnswer: 100100111011000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -189, -528, -1085, -1860, -2853, -4064?\n\"Answer: -109*u**2 - 12*u - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 51 = 2*i - 4*n, 0 = -n - 1. Let k = 328\/7 - i. Let z = 877\/6 - 443\/3. Which is the closest to 3? (a) k (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-217)\/124*(-324)\/14*56\/(-42)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 15*i + 12. Let c be x(15). Find the common denominator of -30\/7 and (-10)\/25*-5 + 50\/c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*(sqrt(2057) + (sqrt(2057) + -3*sqrt(2057))*-6 + sqrt(2057)) + (sqrt(2057) + 1*sqrt(2057) + sqrt(2057) + -4)*-1))**2.\nAnswer: -20768*sqrt(17) + 28641732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhiea. Give prob of picking 1 e and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2428.3022 - 2416.3. Let j = z - 12. Round j to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 131?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**2 + 0 + 0 - 2*v**2 - 3*v**2 + 6*v**2 + (-2*v - 3*v + 3*v)*(4*v - v - 4*v) + 1 + 0 + 9 - v**2 in the form l*v + m + o*v**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (8 + -4)*(-2 + 3). Let v(h) = 5*h**2 - h + 2. Let a(n) = 6*n**2 - 2*n + 2. Let l(s) = q*a(s) + 5*v(s). Suppose 10 - 16 = 2*f. Calculate l(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*p - 22, 6*o - 55 = o + 4*p. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*a + 13 = 3*a, 2*k = a + 11. Solve -1 = -d + 4*l + l, 5*l = -k*d - 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 8*n**5 + 512*n**4 - 8081*n**3\/2 - 4576*n**2 + 505*n\/2 + 284 = 0.\nAnswer: -71, -1, -1\/4, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence feef when four letters picked without replacement from {f: 17, e: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -340c12?\nAnswer: -340c0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -42*y + 12 + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -3777113?\nAnswer: 3777112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1165 or 23?\nAnswer: 2\/1165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19253634 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 - 2. Let z = -4.9 - -0.9. Let x = z - -1. Put q, x, 2\/11 in ascending order.\nAnswer: x, 2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7 = 1. Let g = f + 3. Calculate the remainder when 30 is divided by 40*1\/(g\/(-2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4306618 to the power of 1\/2, to the nearest integer?\nAnswer: 2075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 164 - 131. What is the remainder when 85 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 20 = -5*t, -6*q - 8 = 2*t - 2*q. Let g be (-5)\/3 - (t + 2). Let y = 6 - 11. Which is the nearest to -2\/7? (a) g (b) 1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 24*a. Let f(j) = -280*j - 18. What is o(f(q))?\nAnswer: -6720*q - 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Let k = u - -0.5. Let h = 49 - 48.8. Which is the smallest value? (a) k (b) 3\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 - 7*x + 7. Let t(j) = -j**2 - 3*j + 3. Let y = -31 - -24. Let d(a) = y*t(a) + 3*v(a). Let h(w) = -3*w. Calculate d(h(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 - 3*v**2 + 3*v**2 + (-3 + 3 + v)*(3*v + v + 3*v) to w*v + l + r*v**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 0*o - o + (2 - 4 + 5)*(-o - o + 4*o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 16. Let g be 8\/(-20) + (-252)\/20. What are the prime factors of h(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157137, 157492, 157847, 158202, 158557, 158912?\nAnswer: 159267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3148707241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2179 divided by -36.\nAnswer: -2179\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*z**2 + 221*z - 25*z**2 + 190*z**6 - 3*z**5 + 2*z**5 - 156*z - 4462*z**6 wrt z?\nAnswer: -512640*z**3 - 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194347 is divided by 6928?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 1, -929.1, 42.9 in increasing order.\nAnswer: -929.1, 1, 3\/2, 42.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 62421.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + w + 38. What is t(0)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/30*(-6)\/4. Let g(h) = 71*h**3 + h**2 + 3*h + 1. Let n be g(i). Let x be (-4)\/10 + n\/(-30). Put 1, 4, x in decreasing order.\nAnswer: 4, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -54*g - 829 + 46 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 32 = -5*t + 2*t, -t + 59 = 5*u. Suppose 17 = -7*k + 52. Solve u = -3*r + k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -3. What is the remainder when 19 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 2\/11, -0.1, -0.5, 3\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 8*u**2 - 6*u - 9. Let p be h(7). Let x be -10*p\/4 + -1. Suppose -16 = -x*z + 4. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t - 6. Let w be f(-5). Let m = 7 - 1. Let z be 8\/(-3)*(0 - m). Calculate the greatest common divisor of z and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from oowiioxoowiowim?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -55, -180, -429, -844, -1467?\nAnswer: -2340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnffzznufzn. What is prob of picking 1 u and 2 n?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 13*d + 110. Calculate j(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) 1\/4 (b) -4 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 12. Let w be 0*(0 + (-1)\/l). Suppose -5*v = -4*f + 16, -3*v + 4 + w = f. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2847.\nAnswer: 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -45 and 0.7.\nAnswer: -44.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.78 and 1264.\nAnswer: 1262.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -61*b. Let t be w(1). Let d = -9211\/294 + 400\/49. What is the common denominator of t\/18 - 4\/18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpbcdddddwbd. What is prob of picking 1 d, 2 c, and 1 b?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10544 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 4. What is the third biggest value in -6\/11, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 2*b - 120834308*b**3 + 120833739*b**3.\nAnswer: -569*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187147.\nAnswer: 31, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 0.3, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1011.1 + -1037.1. Do r and 713 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*p - 28*p + 2*x + 16, p + 2 = 2*x for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccbbcc. What is prob of picking 2 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j + 8*j - 49*j - 38*j to t*j + h and give t.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -36. Let s(l) = 6*l**3 - 6*l**2 - 3*l - 4. Let f(i) = i**3 - 2*i**2 - i. Let d(p) = -5*f(p) + s(p). Calculate d(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 - 3*p**2 - 3*p. Let u(y) = 5*y**3 - 8*y**2 - 9*y. Determine -17*o(d) + 6*u(d).\nAnswer: -4*d**3 + 3*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 251724 (base 8) in base 2?\nAnswer: 10101001111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d + d + 8*d + 8*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35462 - 4283 = -547*n for n.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 - 2*s**2 + s**2)*(5*s + 0*s - 4*s) + 73*s + 114864*s**3 - 42807*s**3 - 73*s as h*s + o*s**3 + a + n*s**2 and give o.\nAnswer: 72056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 533, 1002, 1783, 2876, 4281?\nAnswer: 5998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**2\/2 + 7*a - 2. Suppose 3*x + 4*s = -5, 5*x = -2*s - 7 + 22. What is the remainder when c(6) is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1))\/(q*q*q*q\/((q*(q*(q*q**(-2\/7))\/q)\/q)\/q)*q)*q**(-4\/5)\/(q**10\/q))**(-42) assuming q is positive.\nAnswer: q**(3168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 452562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -a - 105. Let y be -1 + 3 - (3 + -5). Suppose a + 15 = y*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 - 7*y**2 + 10*y - 24. Determine q(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174349002.\nAnswer: 2, 3, 167, 191, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (-7 - -16) + 26 + (-1 - 56)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Convert 35b899 (base 16) to base 3.\nAnswer: 20121212110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3)\/(-3 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 + 6*n**2 + 33*n + 32. Determine r(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*c**3 + 9\/5*c**4 + 0*c**2 + 0 + 3\/5*c**5 + 0*c.\nAnswer: 3*c**3*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100848521?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a83 - -37?\nAnswer: -a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -64. Let a(h) = 12*h**2 - 4. Let p(v) = -8*v**2 + 3. Let y(f) = o*a(f) - 8*p(f). Suppose y(g) = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = 11*n + 80. Suppose 5*k = 3*t + 117 + 193, 2*t - 248 = -4*k. Calculate the remainder when k is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 10, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 - -0.27. Let f = 179.2 + -179.1. Which is the closest to -2\/9? (a) l (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27558 times -0.04513?\nAnswer: -1243.69254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -64, -81, -132, -235, -408?\n\"Answer: -3*b**3 + b**2 + b - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 320.0875l in millilitres?\nAnswer: 320087.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 65*766\nAnswer: 49790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -361 + 1806\/5. Sort 2\/5, s, 0.36, 0.\nAnswer: 0, s, 0.36, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 3951846 + 3951672 = 0 for p.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**6\/120 + 11*l**5\/60 - l**4\/24 - 89*l**3\/6 - 216*l**2 - 5*l + 1. Give z(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 77. What is the remainder when w is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 11*o**2 + 429*o + 4337. What is v(-10)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 + 3*m**3 + 2*m**3)*(4 - 4 - 8*m)*((-3 + 1 + 1)*(4 - 3 + 1) - 2 - 1 - 1 - 2 + 0 + 4).\nAnswer: 64*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20212001121111 - -111?\nAnswer: 20212001121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 + 7)*(5*g - g + 0*g)*(1 - 6 + 3).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1570027148 at most -1570027148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-84)\/245) - (6 + (-221)\/39)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = 76*l - 1050 - 371 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5058 (base 9) to base 16\nAnswer: e72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:47 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -18. Let l = g + 21. Let k = l - 25. Which is the nearest to 0.2? (a) -2 (b) -1\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.071136921 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - r - 32727 + 7068 = 0, 5*r - 51311 = -2*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670 + 226 = 4*k - 5*a, 0 = -k + 5*a - 126. Let q = -106 - k. Suppose 9\/4*c - 3\/4*c**3 + q*c**2 + 3\/2 = 0. Calculate c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*b*k**2 + 158*b*k*n**2 + 1776*k**2*n**2 - 2*k*n**2 with respect to b.\nAnswer: -14*k**2 + 158*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.43 - -0.38. Round n to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145489 is divided by 1583?\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 5*v + 2*r - 10, 5*v - 5*r = 10. Find the second derivative of -d + 4 - 6 + 7 + 21 - 18*d**v + 16 wrt d.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -5, -1, -2 in decreasing order.\nAnswer: 6, 2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/5)\/(3\/(-195)). Let h(a) = a**2 + 15*a - 7. Let r be h(-18). Let f = r - l. Solve 5*u + f = -4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 13114, 4, 0.3, 10 in decreasing order.\nAnswer: 13114, 10, 4, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 399 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45514 and 19506.\nAnswer: 136542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/6*(-220)\/(-495). Solve -3*i = 3*n, -2*n + l*i = -2*i + 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (1 - 84)) + (-7 - (-30 - -8))\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 4 + 19. Suppose -5*g + f*q - 10 = 0, g = -2*g + q. Is (-31)\/(0 - (g + 0)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -15*w - 7. Let u be z(-4). Suppose -51 - 18 = -4*c + 5*f, u = 3*c - 4*f. Suppose 411 = 12*i - c*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 + 1. Let o = 0.7 + w. Let n be (1 + 51\/(-21))\/(16\/(-14)). Which is the third smallest value? (a) -2\/9 (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6 + 154\/33. Suppose 0 = 4*z + 2*n, q*z - 2*n + 0*n + 8 = 0. Sort -4, 2, z in descending order.\nAnswer: 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*d - 341*d + 176*d.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59834 + 542*f - 59834)*(f - 8*f - f) + 3*f - 3*f - f**2 to m*f**2 + p + c*f and give m.\nAnswer: -4337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39444644 and 14.\nAnswer: 276112508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -117*j + 2. Let h be x(-2). Let w = -1963110\/11 - -178700. Let i = h - w. Which is the third smallest value? (a) i (b) 0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 0*t**2 + 0*t**2)*(1312*t**2 - 244 - 131 - 1312*t**2 + 3*t**3).\nAnswer: -3*t**5 + 375*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 562 = -366. Let l = -4619\/10 + o. What is the common denominator of 37\/14 and l?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-60)*-2)\/(10\/(-100))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4)*2*-7. Let n(h) = h**3 + 7*h**2 + 2*h - 8. Let j be n(a). Calculate the remainder when 32 is divided by (j\/6)\/(6\/(-18)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 197, -5\/14, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185, -1, 15400 in descending order.\nAnswer: 15400, -1, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 3\/2 (c) 0.1 (d) -1\/76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 676 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*z**2 - 144*z**2 + 316*z**2 - 85*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 4, g: 2, v: 4, j: 7, m: 2}. Give prob of sequence vym.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3841 and 1503.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 770 = 4*r + 4*d + 310, 5*r = -d + 591. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54507 or 2343790\/43?\nAnswer: 54507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/6 >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3 - 98445*p**2 + 1870074*p + 1968520 = 0. What is p?\nAnswer: -1, 20, 98426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2371 - 2371.0000802. What is v rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 12:44 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 13*l**2. Let t(h) = -6*h**2. What is -6*i(c) - 15*t(c)?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 317\/4, -6064, -4\/7, -2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77722 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*p + 3*p - 3774, -2*p + 7548 = -3*r. List the prime factors of p.\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 134 - 140 = 0. Let u(b) = 2*b**2 + 75 - 153 + b**z + 78. Let s(w) = w**2 - 14*w. What is u(s(i))?\nAnswer: 3*i**4 - 84*i**3 + 588*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k = 3. Suppose k*q = 8*q + z - 21, 16 = -4*z. Find the second derivative of -f + 11*f + 8*f**q + 0*f wrt f.\nAnswer: 160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 4*q**2 + q**2)*(-177*q**3 + 382*q**3 + 332*q**3).\nAnswer: 537*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9505, -9634, -9763, -9892, -10021?\n\"Answer: -129*j - 9376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 220100 (base 3) in base 14?\nAnswer: 34d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (0 + sqrt(1584) + sqrt(1584))) + 0 - (-1 + sqrt(1584)*-2 + sqrt(1584))**2.\nAnswer: -1585 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**3\/7 + 72952*x**2\/7 = 0.\nAnswer: -18238, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 2779668?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-12)*(0 - 4\/40).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 10*k**2 - 24*k + 1. Let d be f(-6). Is d < 16\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1626)\/(-391053))\/((-9)\/39)?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b. Let f(r) = -464*r**2. What is h(f(u))?\nAnswer: -464*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 11, -1, -1602.\nAnswer: -1602, -3, -2, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 10*p + 3. Let b be z(10). Solve 0 = -j - 1 - b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25253, -50485, -75717, -100949, -126181, -151413?\nAnswer: -176645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (369\/164)\/(6\/2000)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3072 and -125\/528?\nAnswer: 33792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 128. Let q = o + -90. What are the prime factors of 4\/q + 1 - -28?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**4*(l**(2\/9))**50 assuming l is positive.\nAnswer: l**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*o - 8. Suppose -o*c + 3*c = 12. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvgmmimivi. Give prob of sequence gmm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*b + 6*b + 15*b)*(-3369*b**2 - 92 + 1688*b**2 + 1687*b**2).\nAnswer: -78*b**3 + 1196*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.185 - 0.185. Put y, 2\/11, 0.4 in decreasing order.\nAnswer: y, 0.4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*w + 5. What is the third derivative of 0*z**3 - w*z**3 + 2*z**3 - 2*z**2 wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 6*i + 3*h + 6, 4*h + 13 = i. What is the nearest to -4 in -0.4, i, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36\/11 or -48\/19069?\nAnswer: -48\/19069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.29, 5, 1\/3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/4)\/g*g**(1\/15)*g**(-40)*g**(3\/41)*g assuming g is positive.\nAnswer: g**(-96211\/2460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 + 286\/3. Let u = -3.34 + 4.7. Let b = -0.26 + u. Sort x, 4, b.\nAnswer: x, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 240803.34 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22, -38, -106, -188, -290?\n\"Answer: -r**3 + 2*r**2 - 59*r + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkwtkuwkwwo. What is prob of picking 1 o, 1 u, and 1 w?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3047 - 3027.29. Let r = o - 17.7. Let k = -1.927 + r. What is k rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.9 - -5. Let n = -14.64 - -1.64. Which is the second smallest value? (a) -1 (b) n (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -281 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 451 - 446. Suppose -i + 102 = x*s, -2*i + i - 45 = -2*s. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7))*-2 - (1 + sqrt(7)*2).\nAnswer: -4*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122032033 (base 4) to base 2.\nAnswer: -11010001110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 37*y - 553. Let t be s(15). What is the nearest to t in -0.3, -0.2, -18?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10737 - 0?\nAnswer: 10737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245.2*-952.\nAnswer: -233430.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14064 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 34*d**2 - 19*d - 19. What is f(-1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/((2*sqrt(847) - sqrt(847)) + sqrt(847)).\nAnswer: sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1740\/87*-6*2\/(-20)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s. Let f(a) = 4*a - 2. Let g be -5*-1*3\/15. Let w = -2 + g. Suppose 16*k = 37 + 43. Calculate k*c(d) + w*f(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 != -0.04437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3375300 rounded to the nearest ten thousand?\nAnswer: 3380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + j + 8. Let c be u(0). Suppose -2*v + 21 = v. Let w(n) = -n**3 + 7*n**2 + n + 9. Let i be w(v). What is the greatest common divisor of c and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -18*b - 54. Let t be w(-3). Solve 2*n - 1 = 5*q, t = -4*n - q + 13 - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 5*n - k + 1, -n = -4*k - 20. Suppose -z + 69 + n = 0. What is the highest common factor of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 9*u = 0. Let f be -15*(8\/(-20) - u). Which is greater: 5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 8*v + 3 - 5.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Let n = h - 4.2. What is the nearest to 2\/7 in -1\/7, n, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1200) + ((sqrt(1200) + 3)**2 + 0 - sqrt(1200)) + -2.\nAnswer: 120*sqrt(3) + 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1707 - -537.3. What is k rounded to the nearest ten?\nAnswer: -1170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/4)\/(w\/w**(-1\/3)) assuming w is positive.\nAnswer: w**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 13*m + 13. What is the units digit of d(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/9 + 6\/(-27). Let p = -27 - -350\/13. Is t >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q*q*q\/q**(2\/3)*q)*q*q)**6)**(-19\/3) assuming q is positive.\nAnswer: q**(266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-6) + 62\/(-12). Let a(g) = -45*g**3 + 219*g**2 - 219*g + 45. Let c(l) = 9*l**3 - 44*l**2 + 44*l - 9. Let q(r) = i*a(r) - 24*c(r). Factor q(y).\nAnswer: 3*(y - 3)*(y - 1)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -4. Let p(r) = -2*r - 32. Let u be p(z). Let v(j) = j**2. Let a be v(u). Solve -2 = -a*c - 3*w + 3, 5 = 3*c + w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vshh when four letters picked without replacement from {h: 2, s: 6, v: 7}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*k - 322*k - 7664 = 421*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(1\/2)\/s*s)\/s)\/s)**(6\/29))**(1\/2)*(s**(-7)\/(s**7\/s))\/(s**(6\/11)*s**(7\/4)*s) assuming s is positive.\nAnswer: s**(-20991\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (17010\/25)\/(6\/15). What is the highest common divisor of k and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 9:05 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u + 51. Let o be y(7). Suppose -6*p - o = 2*p. Let h = 0 - -1. Put p, h, 1\/9 in descending order.\nAnswer: h, 1\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1294 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**6\/10 + 2*b**2 + 17*b. Find the first derivative of k(z) wrt z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u - 2. Let s(a) = a**2 + 3. Let i = 14 + -15. Determine i*s(h) + 3*n(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 86*f - 74*f - 2.\nAnswer: -160*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + (-55)\/10)*(-4)\/5. Solve 5 = g*q - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -11*p + 6*p - 2*m, -3*m = p + 8. Is -14 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -3233362.\nAnswer: 3233362.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -35, 2, -0.07?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 51. Is -194*z*(-17)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**2 - p + 8. Let i(d) = -5*d**2 + 10*d - 38. Let x(y) = -i(y) - 4*l(y). Let o(j) = 899*j**2 - 217*j + 217. Give 6*o(b) - 217*x(b).\nAnswer: -31*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -188 - -341. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*x - 64*x - 140 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(192))**2*3.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68179900 to the power of 1\/3, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*z**2 - 5*z**3 + 28*z**2)*(4 + 6 + 1).\nAnswer: -55*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + -1)*4 - sqrt(1100))**2 - (-1*sqrt(11) + 5 + 5)**2.\nAnswer: -220*sqrt(11) + 9805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39053.\nAnswer: 7, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**3 - 4572330*f**2 - 13717125*f + 82302210 = 0.\nAnswer: -6, 3, 914469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from {j: 4, h: 16}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -134, -270, -406, -542, -678, -814?\n\"Answer: -136*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7472536.\nAnswer: 2, 934067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + u + 1. Let w(b) = -480*b**3 + 160*b + 160. Give 160*q(p) - w(p).\nAnswer: 320*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x**3 + x**2 - 1. Determine d(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2\/9 - 2332150*n\/9 - 4664308\/9 = 0.\nAnswer: -2, 1166077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 84136, 0.2, 0.5, -5 in ascending order.\nAnswer: -5, 0.2, 0.5, 84136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 94*a**3 + 108*a**3 - 55*a**3 - a**3 + 4*a - 4*a + (a - 2 + 2)*(-2*a**2 + 2*a**2 - 3*a**2) + a**3 + 0*a + 0*a - 1 - 2*a**3 - 6 + 4.\nAnswer: 142*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 578?\nAnswer: 4624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.56, -16, 567 in increasing order.\nAnswer: -16, 0.56, 567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*b**3 + 7*b**2 - 1 + 119*b**3 - 30*b**3 - b - 43*b**3 to the form v*b**2 + l + k*b + z*b**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -17\/2*w**5 + 1 - 5*w + 0*w**3 + 0*w**2 - 247\/12*w**4. Find the third derivative of f(q) wrt q.\nAnswer: -1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900) - -1*sqrt(900)*-4)\/((sqrt(3) - sqrt(3)*2)*-6 + sqrt(243)*1 + sqrt(243) + sqrt(243) + sqrt(243) + sqrt(3)).\nAnswer: -30*sqrt(3)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1360*h + 2*r - 5*r = 1362*h - 343, -h - 22*r + 2447 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6360 divided by -3.\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 17 + 62 - 24 - 29*i to the form o + z*i and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 7*a**5\/30 - a**2. Let z(m) = -m - 56. Let u(v) = 3*v + 196. Let j(f) = -4*u(f) - 14*z(f). Determine j(g(i)).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -20. Let a = 100\/11 - n. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2448) + -4 + -2*sqrt(2448)*1.\nAnswer: -12*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 19676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5017?\nAnswer: 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*l + 2662752 + 569224. What are the prime factors of l?\nAnswer: 2, 11, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -2, 0, -10, 2\/13, -42?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -1198, -2965, -5516, -8851, -12970?\nAnswer: -17873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 3. Suppose 27 = -5*f - 2*y, f - 3*f - 5*y - 15 = 0. Let p be l(f). Does 6 divide p\/(-6) - 34\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 794 + 704 = 7*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4\/11, -1, -1\/2 in decreasing order.\nAnswer: -4\/11, -1\/2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*r - 7 = g, -3*g + r + 15 = 0. Let f(h) = -h**2 - 21*h - 22. Let i be f(-19). Calculate the highest common factor of g and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 188244*x + 4*x**2 - 2*x**5 - 286*x**3 - 187447*x + 0*x**2 - 4*x**2 wrt x?\nAnswer: -40*x**3 - 1716*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y. Let s(j) = -5*j. Let b(z) = -1. Let o(h) = h + 19. Let r(p) = 3*b(p) + o(p). Let m be r(5). Suppose -4*l - 15 = m. Determine l*a(c) - 2*s(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*k - 15, w - 3*k + 8*k + 25 = 0. Let m = w + 0. Let v = -89 + 91. Which is the biggest value? (a) -3 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/5)*a)\/a*a**(1\/4))\/(a\/(a*a*a\/a**6)*a*a**12) assuming a is positive.\nAnswer: a**(-339\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.038 - -0.538. Let l = 0.53 - 0.13. Which is the second biggest value? (a) l (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 22 = d + 1 + 4, 12*d = 5*j + 45 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, g: 2, n: 2, d: 6, z: 3, c: 2}. Give prob of picking 2 n.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((-5)\/(10\/4)). Let i(v) be the third derivative of -1\/60*v**5 + 0*v + v**2 + g*v**4 + 0 - 1\/6*v**3. Differentiate i(h) wrt h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 12277*z**3 - 8547*z**2 - 3*z + 4*z - 12272*z**3 + 8547*z**2.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1663214 or 1663208?\nAnswer: 1663208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80*k**2 - 22*k + 3?\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 6, -4, 2, 4, 5, 0 in descending order.\nAnswer: 6, 5, 4, 2, 0, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, 1\/5, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**5 - 145*g**4\/4 + 541. Factor c(h).\nAnswer: 5*h**3*(h - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 1\/30*f**6 + 1\/6*f**5 + 0 + 1\/3*f**3 + f + 3\/2*f**2 + 1\/3*f**4. Let w(i) be the first derivative of u(i). Factor w(l).\nAnswer: 2*(l + 1)**2*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 16 + 62 = 0. Solve h*m = 15*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1500*-4.\nAnswer: 6000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + f + f)*(f + 0 + 0) + 2*f**2 - 2*f**2 - f**2 - 4 - 2*f**2 + 4 + (-2 + 1 - 1)*(-7*f**2 + 3*f**2 - 4*f**2) to the form z + r*f**2 + q*f and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*h = -1075, -243*h + 238*h - 25 = 0. Calculate the greatest common divisor of a and 568.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184682800 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4482500 to the nearest 100000.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 7*n**2 + 2*n - 2. Give a(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/5298 and (-120)\/(-3168)*278 - 13.\nAnswer: 58278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3.7. Suppose 4*t - 12 = -60. Let y be (t\/9 - 0)*1\/2. Sort y, w, 4.\nAnswer: y, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123514928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -22*o - 2. Let f be w(-1). Suppose 0 = 4*u + 4*c - f, 0 = -u - 5*c + c - 4. Suppose u*r - 308 = 172. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 0*r + 2*r - 2*r + r. Let a(z) = -14*z. Calculate w(a(s)).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a + 2*a**3 - 3*a - 2*a**3 + 2*a**3 - a**3 + (-a**2 + 3*a**2 + 0*a**2)*(2*a + 0 + 0).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 4*k + 18, 3*k + 2*k - 22 = -2*u. Let x = 72 - 66. Let l be (8 + 190\/(-20))\/(x\/(-20)). Sort l, u, -1, -4 in descending order.\nAnswer: l, u, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -6*o**5\/5 + o - 13. Find the first derivative of l(i) wrt i.\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-58140)\/(-13770))\/((-112)\/(-414)) - (-3)\/(-4). Find w such that 44\/7*w + 4\/7*w**2 - a = 0.\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 10*x**4 + 18*x**3 + 26*x**2 - 6*x. Let u(i) = -15*i**2 + i - 4*i**2 + 18*i**2 + i**3 - i**4. Let n(f) = -6*u(f) - z(f). Factor n(d).\nAnswer: -4*d**2*(d + 1)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000051725851 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-2 + (7 - -2)). Let f = k + 7. Suppose a + 2*y = 6*y + 19, -f*y - 20 = -4*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (sqrt(6)\/sqrt(2) + -4 - (sqrt(3) - (4 + -1*sqrt(3) - sqrt(3) - sqrt(3))))**2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*v - 3*t, -5*v + 2*v - 5*t = -26. Suppose 0 = -v*o + 3 + 173. Calculate the remainder when o is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*z**3 - 55*z**3 + 165*z**3 - 32*z + 2*z**2 + 15*z - 59*z**3 as t*z + y + f*z**2 + i*z**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l + 78776*l**4 + 5*l - 78776*l**4 - 5 - 162*l**5 wrt l?\nAnswer: -3240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -9. Suppose -2*n = v*n. Factor n*g - 1\/3*g**3 + 0*g**2 + 0.\nAnswer: -g**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 32 = -2*v. Suppose -c - c = -v. Suppose c = -2*z + 6*z. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 2704\/(-36) - 4. Let f = u - 73. Sort f, 3, 4 in decreasing order.\nAnswer: 4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*2 - (-810)\/(-385). Let s = 30\/7 + n. Let z be (-18)\/(-45) + (-3)\/5. Which is the third biggest value? (a) z (b) 3\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, 36.5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 plus -463?\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2412 + -2415. Let i = -4\/33 + 1\/99. Put -1\/7, i, l in decreasing order.\nAnswer: i, -1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 776.1 - 784. Let v = 3224.932 + -3217. Let b = v + i. Round b to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 279 - 277. Solve b = -z - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 272*w**2 + 231*w + 61. Let f(t) = -27*t**2 - 22*t - 6. Let n(m) = -21*f(m) - 2*k(m). Let x(a) = 5*a. What is n(x(c))?\nAnswer: 575*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4193954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/2744 and 83\/714.\nAnswer: 139944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24749, -24794, -24861, -24944, -25037, -25134?\nAnswer: -25229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(-2*v**3 + 2*v - 2*v) + 8*v**3 + v**3 + 6 - 5 as b*v**3 + r*v**2 + h + s*v and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -33*z + 23. Let p be x(5). Let b = p + 257. Suppose 5*o + 10 = b. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81a (base 16) to base 5\nAnswer: -31244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-375 + 375 + 15*g + (-3*g - 1 + 1)*(-1 + 1 - 2))*(1 - 5*g - 1).\nAnswer: -105*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiq when three letters picked without replacement from qiiqqdid?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*a**2 + 216*a**2 - 7*a**2 + 6*a**2 + 10*a**2 + 0*a**2 + (0*a + 3*a - 2*a)*(-2*a - 3*a + 4*a) to r + k*a + v*a**2 and give v.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -0.32 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-14)*(24\/195)\/4\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -111. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = -4*v, 4*t - 5*v = 0. Suppose 0 = 3*l - 6 - t. Let z(q) = 0*q - 2 - l*q - q. Give z(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k**2))**(1\/29))**13)**(4\/7) assuming k is positive.\nAnswer: k**(-104\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(4*v + 2*v - 5*v) + 3895*v - 1217*v + 3475*v + 1128 - 1130.\nAnswer: 6154*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 492337.3ug in kilograms?\nAnswer: 0.0004923373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 71 in 151, 3\/7, -4\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18171721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/726 and 37\/22.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -58626.\nAnswer: -58628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (76 - -1) + (12 - 10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 32*p + 5. Let m(w) = -13*w - 2. Let f(l) = 2*i(l) + 5*m(l). Let q(k) = 1. Let u(b) = -35*b**2 - 2. Let z(t) = 2*q(t) + u(t). Determine z(f(v)).\nAnswer: -35*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136547*v**2 + 1 + 5 - 6 - 136548*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(252) + 3*(2*sqrt(252) - sqrt(252)) + -5)*1.\nAnswer: -9 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u**2 + 235*u - 11. Calculate p(-22).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/473 - 471\/946. Let g = -176.5 + 177. Which is the fourth smallest value? (a) -66 (b) -2 (c) p (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a*a\/(a**(-1\/6)*a)*a)\/((a*a**1)\/((a\/(a*a**7))\/a)) assuming a is positive.\nAnswer: a**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 87*l**2 + 77*l**2 - 157*l**2 + 2*l.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/155 - -158\/465. Let i = -0.2 - -0.1. What is the nearest to j in -3, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.0704972 to 0 decimal places.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 - 117. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -39*z**3 - 9*z**2 + 5*z - 101. Is 200 a factor of x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -327975, -328402, -328825, -329244, -329659, -330070?\n\"Answer: 2*t**2 - 433*t - 327544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1700929 (b) -5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621 = 35*n - 29 + 213 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -869*o + 864*o - c, -4*o - 4*c = -8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -55. Let m = y + -16. Which is greater: m or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -r + 61. Suppose 3*k + 3*b - r - 33 = 0, 5*k = b + 160. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + d, -d = -5*d + 16. Is 9 a factor of 728\/16 - (-1)\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -15. Which is smaller: t or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16235*m + 2 - 7040*m - 2713*m.\nAnswer: -25988*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 51 (b) -6\/11 (c) 15 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -278, 2\/3, 5.\nAnswer: -278, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -413*g - 183 + 369 - 186 to s + p*g and give p.\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3*-3 - -8. Suppose -3*o - 5*p + 0*p = -10, -5*p + w = 0. Let q(g) = g + o*g + 0*g. Let z(n) = -2*n. Calculate q(z(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87327*y + 9455 = -87482*y for y.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 115, 104, 85, 58?\n\"Answer: -4*t**2 + t + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 48*i**3 + i**2 - i. Let w be v(1). Let f = 635 - w. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**4\/6 + 34*v. Let o(h) = -30*h**2 - 66. Let w(c) = 1. Let m(p) = -2*o(p) - 132*w(p). Calculate i(m(r)).\nAnswer: -7200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 41\nAnswer: 8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42987 by -1.\nAnswer: 42987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154325975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -19*p - 224. Let k be i(-12). Is k less than or equal to 34.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 6, -0.6, -1\/10 in decreasing order.\nAnswer: 6, 0.4, -1\/10, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 2*d**2 - 183982*d - 476169*d - 2 - 2*d**2.\nAnswer: -2*d**2 - 660151*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/182 and 13\/368?\nAnswer: 33488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 2\/11, 0.05, 35, 1\/2, 1\/33?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*-4*301 + 2 + 2.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/14 and (-34)\/12*2*9\/30.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -4*s - 5*j, 0 = 5*s + 3*j - 5*j - 104. Suppose -4*a - v + 6 = -8, 0 = 5*a - 4*v - 28. Solve 4*z = -z - 20, -2*c = a*z + s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100817621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {q: 5, g: 2, z: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b. Let x(z) = -1676*z + 324. What is x(s(i))?\nAnswer: 10056*i + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**3 - 5*z - 4. Let m = -28 - -27. Let h(k) = -k**3 - k + 1. Let r(c) = m*s(c) + 5*h(c). Differentiate r(x) with respect to x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12059 - -12031.386. Let z = 19.59 + c. Let k = z - -8. What is k 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 second derivative of -131*z**4 + 32*z - 4?\nAnswer: -1572*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200.591041357 + -0.02.\nAnswer: 200.571041357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) 23 (c) 5 (d) 13 (e) 0.5 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -619 divided by 1\nAnswer: -619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2085, -4121, -6153, -8181, -10205, -12225, -14241?\n\"Answer: 2*c**2 - 2042*c - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-38)\/(-5) - (-6)\/10. Let k = t - -130. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 0*c**2 - 20 - 15*c**2 + 10*c - 35 - 8*c + c**4. Let g(y) = 2*y**4 - 30*y**2 + 5*y - 110. Let q(u) = 2*g(u) - 5*t(u). Differentiate q(w) wrt w.\nAnswer: -4*w**3 + 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54576 bigger than 54581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**36*((u*(u**0*u)\/u)\/u)**(-29) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09336 - 0.0933630274. Round n to seven decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19404 (b) -5 (c) -2 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**2 - 1152*a - 1149 = 0.\nAnswer: -383, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + 7*r**3 + 0*r**3 - 4*r + 4*r - 9*r**3.\nAnswer: -2*r**3 + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 606472 and 24764?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3990.904 decades?\nAnswer: 478908.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.71201 decades to months.\nAnswer: 5845.4412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -76 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 3*l + 1, 3*l + 3*u + 43 = 40 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -20*f + 4. Let t(m) = 7*m - 1. Let u(a) = 6*g(a) + 17*t(a). Determine u(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1) - 0\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6930 and 25506810.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7 - 10*h - 2*h**2 + 3*h**2 - 1 - 1. Let c = 122 + -112. Let o be i(c). Let m(f) = 2*f - 6. Give m(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u = 52. Suppose 5*d - 39 - u = -5*l, 3*l = d + 23. Solve -3*q - l = 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*((-35)\/70)\/(2\/2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -6. Let h = 177 + g. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3*j + 1 = -0, -5*j + 5 = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1618.\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 13*z**2 - 6*z**2 - 21.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 332\/((-5)\/(-80) - 0). Suppose v = 3*a + 509. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3703*k + 4*k + 620*k - 89291 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6580 is divided by 716.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 7:13 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8687 - -173833\/20. Suppose 0 = 5*l + 2*m - 0*m - 12, -24 = -2*l + 4*m. What is the common denominator of k and 14\/48*((-3)\/(-6) + l)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, 306, 0.02, -0.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l. What is g(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 21 = 4*z - 2*g, 3*g + 11 = z. Suppose -z*t + 16 = -4*a, -13 - 3 = -t + 4*a. Suppose 4*l + 7*l - 132 = t. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -231.743 - 2360259079\nAnswer: -2360259310.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0251396 minus 1019.023?\nAnswer: -1018.9978604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4712 and 456.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177 - 57. Suppose 3*i = -i + v. Suppose 0 = 4*z - 6*z + i. What is the highest common factor of z and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 - 44. Let g = -0.1 + 0.3. Sort g, 2\/5, o in increasing order.\nAnswer: g, 2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -516040.6\nAnswer: -206416.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.413211 millilitres?\nAnswer: 0.009413211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*h = -60*h + 12, -4*h - 3387 = -v. Is 27 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2 + 5*w**2 - w**2. Let t(a) = -6. Let j(r) = -r - 3. Let c(h) = -2*j(h) + t(h). Give k(c(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5057045?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/184 + (-3112)\/(-184). Solve -g*t - 40 = -9*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53469029 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -666440 divided by -2?\nAnswer: 333220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7283?\nAnswer: 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33723\/24 + 1*2\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8401 and 4878.\nAnswer: 151218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-873)\/72)\/((-2)\/(-6))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 5 (c) -4\/247 (d) 10 (e) -2\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 213 - 213.1. What is the closest to d in -4, 63, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 6*a + 5. Suppose -11*n + 21 = -8*n. Determine t(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 362*i - 3. Let g(l) = 18*l - 1. Determine 6*g(j) - x(j).\nAnswer: -254*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -276*c**3 - 2325*c**3 + 67*c + 5 - 451*c**3 wrt c.\nAnswer: -18312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-1408)\/(-66))\/8)\/((-2)\/(-3)). Let y(d) be the second derivative of 1\/60*d**5 + 1\/3*d**2 - 5\/18*d**3 - 1\/90*d**6 + 15*d + 1\/12*d**r + 0. Factor y(q).\nAnswer: -(q - 1)**3*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4*2*sqrt(1008) + sqrt(1008))**2 + -2).\nAnswer: 49390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 5*t - 2. Let c be l(-4). Let y(x) = 0 + 2 + 0*x**2 - c*x**2 + 3*x**2. Determine y(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -40140424?\nAnswer: -40140424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 108 (b) -1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 10, 1.5, -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + m**2)*(578*m + 4*m**2 - 1159*m + 606*m + 4) as c*m + r*m**3 + h*m**2 + k + j*m**4 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667647*c - 1328 = 667813*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -53\/3*s**3 - 12*s**2 - 4*s - 27\/5*s**5 - 55\/4*s**4 - 5\/6*s**6 - 2. Solve m(k) = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18184.\nAnswer: 2, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 51705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 9*i - 34 = 0. Suppose i*d = 9*d + 24. Suppose 5*n - 4*n - 4 = 0. Solve d*h = -13 + n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-15)*3\/2. Let z = k - -1. Let q(r) = -r**2 + 6*r + 10. Calculate the remainder when q(7) is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 + 122*t + 33. Let c be w(-32). Suppose c = -5*r + 30*r. Solve 6 = 3*z - r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1009 divide 2205241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 - 60. What is g rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + -4*sqrt(88)*1 + sqrt(88))*5)\/(-2*sqrt(1152) - sqrt(8) - ((sqrt(80) - sqrt(80)*2 - sqrt(80)) + sqrt(80))\/sqrt(10)).\nAnswer: 5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 57 = -15*l, 10 = -18*a + 19*a + 4*l for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -4. Let j be (-7)\/14*(-1)\/2. Which is the nearest to -13? (a) 4 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*40\/(-8))\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7389, 22034, 43933, 73086?\n\"Answer: 3627*q**2 + 3764*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 56. Suppose -3*i = 4*n - 55, -2*n + 5*n + 3*i = 39. Suppose 3*j - n = a, j = 2*j + 5*a. Put 2, j, k in descending order.\nAnswer: j, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 3)\/((-17)\/119). Suppose -5590 = -l*g + 1067. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/135 + (-2)\/(-15). Let m = 459.9 + -460. What is the nearest to m in i, -5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158144 and 17668?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.6, -19, -2\/25, -2\/5, -2, -181, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x - 2751. Let m(l) = -3348*l. Determine u(m(p)).\nAnswer: -10044*p - 2751","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5216*-2.1.\nAnswer: 10953.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 - 54. Suppose -d - s = 0, -v*d - 2*s = -3*s - 4. Let i = d + -7. Let q(a) = a**2 + 8*a + 3. Give q(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3056*n**3 + 6123*n**3 - 3050*n**3.\nAnswer: 17*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3502\/3090 - (0 - (-2)\/15))*-13. Which is the closest to -9? (a) -0.5 (b) u (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -603563151?\nAnswer: -603563150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63446, -126109, -188772, -251435?\n\"Answer: -62663*n - 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c - 11*c - 7*c + 0*c - 13*c.\nAnswer: -42*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 474 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1236*d - 4 - 2038*d + 4)*(-2*d**2 + 2*d**2 - 3*d**4 + (3*d - 2*d**2 - 3*d)*(2*d**2 + 2 - 2) - 2*d**4 + 2*d - 2*d).\nAnswer: 7218*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 81*k**2 - 39*k - 38. Let d be h(-1). Solve 4*c = -d + 58 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 5*p - 6. Let a be t(6). Suppose -2*j + 5*j - 12 = a. Solve -r - 3 = -5, -j*r = -l - 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, 3, 4, 1924 in decreasing order.\nAnswer: 1924, 4, 3, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**3*p + 113*a**3 + 2*a**2*p - 185*a**2 + a*p - 10*a - 1271*p - 3 wrt a?\nAnswer: 18*a*p + 678*a + 4*p - 370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*t - 55 = 716*t - 4*x, -2*t - 19 = -x for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 993367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1375, -5429, -12193, -21673, -33875, -48805?\nAnswer: -66469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-29)\/s*((s**33\/s)\/s)\/s)**(1\/4) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11959 + 11966. Let f(p) be the first derivative of -l + 3\/2*p + 1\/2*p**2 + 1\/18*p**3. Factor f(y).\nAnswer: (y + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 less than -3150\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1aa0 + 2645c?\nAnswer: 2479c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1988 = -85*x + 2262. What is the remainder when 176 is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29.8 + -29.64. Do q and -2\/75 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -7*i. Suppose i*o - 68 = -o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1062\/17, 37, 3\/5, -0.1 in decreasing order.\nAnswer: 1062\/17, 37, 3\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - 2) + (-2)\/2. Let k be 1 - l\/((-4)\/(-2)). Let a = -10270 - -10298. Solve -2*b + a = -5*s, -s - 16 = -2*s - k*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*y - 1984 - 16484 = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3729592405 and 0.25.\nAnswer: 3729592405.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -44.45 * 923\nAnswer: -41027.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2642 or 3362?\nAnswer: 3362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/((-303450)\/2000) + (-2)\/17.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -82, 5, -15, -3, -0.09, -0.007, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -10. What is the second derivative of 70*g**2 - 2*g - 5*g + 0*g - t*g wrt g?\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9192930 by 1838586.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0349 and 94.\nAnswer: 3.2806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g**2*s**2 - 804*g**2*s - 3942*g*s**2 + 52*g*s wrt s.\nAnswer: 12*g**2 - 7884*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 3. Let f = -54587 - -163760\/3. Which is the third smallest value? (a) 5 (b) f (c) o (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5149 + -0.0149. Which is the closest to -3? (a) 0.4 (b) -8 (c) n (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 68 = -24*k + 22*k, -3*l = 4*k - 115. Solve 7*x = 24 - k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -636, -2, -9, 1 in decreasing order.\nAnswer: 5, 1, -2, -9, -636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14)\/(-15))\/((-188)\/235))\/(280\/(-60)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 5*q + 4*q + (171 + 231 - 272)*(-q + 16*q + 3*q).\nAnswer: 2347*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y - 4*y)*(-2*y**3 + y**3 - y**3) + y**4 - 1 + 1 + (-4 + 4 + 2*y)*(-2*y**3 + 2*y**3 - y**3) + y**4 + 4*y**4 - 3*y**4 - 32*y**3 + 32*y**3 + 8*y**4.\nAnswer: 13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k - 10*k + 22*k in the form q + t*k and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(425) + 0 - (sqrt(2448)*2)**2.\nAnswer: -9792 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 5*x**2 + 8*x. Let w be z(6). Suppose -18 - 90 = -44*n + 24. What is the highest common factor of w and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10857 and 15130627.9.\nAnswer: 15141484.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/66)\/(-42*(-41)\/6314).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r + r + 10*r - 6*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7983.\nAnswer: 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 2. Let p be 13\/(325\/(-20)) + 49\/5. Let t(n) = 5*n + 8. Calculate p*u(j) + 2*t(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 1. Let o(w) = -16*w + 3. Let d(m) = -2*m + 2*m - 5*m + 1 + m. Let y(k) = -9*d(k) + 2*o(k). Let l = -42368 - -42369. Calculate l*y(x) + 6*q(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Let n be 4*((-1)\/u - -1). List the prime factors of n\/8 - 225\/(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236519 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/373, -2\/9, 2\/5, 0.3 in ascending order.\nAnswer: -2\/9, 2\/373, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11099 + 0.13099. What is the smallest value in -5, r, -4, -36, 1\/4?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 2*n**2 - 17 + 28.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120*4\/(0 + 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3964, -31580, -106512, -252418, -492956, -851784, -1352560, -2018942?\n\"Answer: -3943*t**3 - 15*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1184\/40 - 29)\/(3\/(-20*6))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410000, -407301, -402804, -396509, -388416, -378525?\nAnswer: -366836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -10 + 0 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -524*d**4*k - 770*d**2*k**2 - 36*k**2 + 4527*k - 40 wrt d.\nAnswer: -2096*d**3*k - 1540*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**4\/6 - l**3\/2 + 825*l**2\/2 - l - 13. List the prime factors of a(0).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -301, 586, 4 in descending order.\nAnswer: 586, 4, 3, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1584 - 606. Let s be -5 - (v\/95)\/(-6). Is s >= -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80912, -323617, -728116, -1294409?\nAnswer: -2022496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -934*h + 6176. Let l be v(-47). What is l rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0, 4, 5 in increasing order.\nAnswer: -23, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 3862 = -85*i - 6373 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -76, 3, 10, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-11)\/5 - 1512\/945. Which is greater: 2.59 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 4 + 8*k + 1 + 0. Suppose 0*h + 6*h = 60. Let u(r) = -5*r - 3. Determine h*u(n) + 6*o(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15366 and 358146?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 0)*(-25 + 22). Let a = 12 - 12. Suppose 2*u + v + a*v - 4 = 0, -f*u + 3*v = -6. Solve 0 = 4*p + 4*d - 4, 3 = u*p - 4*d - 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 209*a - 205*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42426*s**3*y + 21325*s**2*y wrt s.\nAnswer: -254556*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439*c + 7021728 = -267*c. What is the thousands digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.651885ml?\nAnswer: 0.007651885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -543 - 1?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 6*z**2 + 4. Suppose 5*j - 1 = -2*u + 4*u, 2*j = 10. Suppose 3*s - s = -u. Determine f(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 5220 = 5*h - 8*h, -h + 1957 = 3*s. What is the remainder when s is divided by 206?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 - 663*g**2 + 10*g**3 + 665*g**2 - 3209*g.\nAnswer: 4*g**3 + 2*g**2 - 3209*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - m = 115, 54*m + 60 = i + 58*m. What is the highest common divisor of 104 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.042 - -30.042. Let h = o - 29.999785. What is h rounded to five decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 460*y**2 - 232*y - 2195. List the prime factors of n(-9).\nAnswer: 53, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*h**4 - 91860*h**3 - 347436150*h**2\/7 + 4547070000*h\/7 - 14701500000\/7 = 0.\nAnswer: -1100, 45\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-3))\/(1\/9). Suppose -a*v + 216 = -7*v. Calculate the common denominator of -25\/3 and -2*(-2)\/(v\/69).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s + 66. Give r(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + 103*m + 145. What is r(-50)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*k*u**3 + 45726951*k - 3533457*u**4 with respect to u.\nAnswer: 15*k*u**2 - 14133828*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2544*b**2. Let k(n) = -395*n**2. Calculate d(k(r)).\nAnswer: 396927600*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-21) + (-9)\/21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.971143ml?\nAnswer: 0.009971143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 13*c**2 - 140*c - 7. Let a(u) = 4*u**2 - 47*u - 2. Calculate -7*a(m) + 2*x(m).\nAnswer: -2*m**2 + 49*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19337 or 36127?\nAnswer: 19337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 718940 and 562895?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2\/5 (c) 5184 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 = 0, -867 = -6*s + 2*s - g. Let o be (-184)\/(-20)*1*5. Let r = s - o. What is r rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = r + 17, -2*v + r = -0*r - 7. Suppose 0*a = 5*q - a - 14, 2*a = 2*q - 12. Put q, -1, v in ascending order.\nAnswer: -1, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*a*q*t**3 - 37*a*q*t - 2*a*t**2 + 22*a - 2*q*t + 71*t**3 - 219*t wrt t?\nAnswer: 516*a*q*t - 4*a + 426*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 15 = 29*w. Solve -s = -5*v - 19, -w*v - 19 = -4*s + 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5648 + 6032. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 14, 1 in decreasing order.\nAnswer: 14, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 3*m + 7*m)*(-m**3 + 0*m**3 + 2*m**3) + 2*m + 3167 + m**4 - 1561 - 1540.\nAnswer: 3*m**4 + 2*m + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7504 and 5152.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(2 - 0)*-10. What is the common denominator of 38\/a - (-1 + 4) and 89\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-3))\/(2\/(-36)). Suppose -g + 2*g + 4*r + 23 = 0, 3*g + 34 = -5*r. Calculate the lowest common multiple of ((-33)\/l - g)*-4 and 46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 10:20 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -20, 0*j - j = 4*o - 5. Let g = o + 5. Suppose y = 2, -5*m - g*y = -0*m - 40. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1935 and 1215?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343506914?\nAnswer: 2, 29, 5922533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 0*v**2 - 1\/4*v**4 + 1\/20*v**5 + 0 + 0*v**3 + v. What is the third derivative of l(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221028673?\nAnswer: 221028673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.131 - 1.81654. Round r to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*j - 18*j**3 - 52*j.\nAnswer: -18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 + 2 + 0*y**2 + 2*y**2 + 3*y**2 + 3*y - 3*y + (6 - 2 - 3)*(-5 + 5 + 2*y**2) - y**2 - y + y to r + v*y**2 + k*y and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -108 times 4\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102221010222011 + -11110?\nAnswer: 102221010210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 89054942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - -2. Calculate the remainder when g is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6149 (b) -12 (c) -92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -6. Let q = 6 + z. Suppose -850000 = y - q*y. What is y rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66883 - 45074. List the prime factors of z.\nAnswer: 113, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 + (12 - (-7 + 57))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*h**2 + 1198*h**4 + 9*h**2 + 9*h**2 - 7 + 5*h**2 - 1 wrt h.\nAnswer: 28752*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 greater than 641\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 0 - 5*v**2 + 0*v**5 - v - 1\/120*v**6 + v**3 - 1\/4*v**4. Let y(j) = j - 1. What is -2*o(a) - 14*y(a)?\nAnswer: 2*a**3 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 8\/7 (c) 1 (d) 3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from {f: 1, q: 2, b: 2, y: 1, a: 1, x: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 14902.6982?\nAnswer: 1043.188874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3092\/3865*(-70)\/4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f - 3 = 0. Suppose 0 = 3*b - 7*b + 160. Suppose r - 5*r = -b. Solve 2 + r = -f*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2563*d**2*y**3 + 443*d**2*y**2 + 38099*d*y**3 + 71*d*y + d wrt d?\nAnswer: 5126*y**3 + 886*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13377271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 11:21 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2409044 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*c = -2207 + 519, -5*l = -5*c + 2830. Let u = -6275\/11 - l. Let f(v) = -v**3 - 6*v**2 - 5*v + 1. Let j be f(-5). Which is bigger: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377826 is divided by 2774.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 607272980 divided by 10?\nAnswer: 60727298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = h, -42*g + 24*g - 4*h = -38. Solve 0 = 3*a + 4*f - 7*f + 9, 3*f + 3 = -g*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1208, -2422, -3636?\nAnswer: -4850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*7*(-3 + 2). Which is smaller: 8 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002 (base 4) to base 8.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 + 19.8. Let c = d + -15.999986. Round c to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8113 + 8775.3. Round i to the nearest 10.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36353166 to the power of 1\/2, to the nearest integer?\nAnswer: 6029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 - 63*t + 3969\/2.\nAnswer: (t - 63)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -64*x + 387. Let z be l(6). Which is the second biggest value? (a) -3 (b) z (c) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -230\/21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23260 and 1465380?\nAnswer: 1465380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124 + 128. Which is the second smallest value? (a) -5 (b) m (c) 1\/4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/8)\/((-9)\/72). Solve -j*n - v + 3 = 0, 0 = -3*n - v + 2*v + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - u + 75, -2*u = 2*g - 4*u - 60. Let t be ((-21)\/g)\/(2\/(-10)). Solve -k + 11 = -0*k + t*o, -2*k - 3*o + 13 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 2862?\nAnswer: 2861.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310689 + 38*g + 155376 + 155313.\nAnswer: 38*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17176*m**3 + m**2 + 83723 wrt m.\nAnswer: 51528*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 4 + 25 = 0. Let i(p) be the third derivative of -1\/12*p**5 + 7\/24*p**4 + 0*p + 0*p**a + 0 - 8*p**2. What is the second derivative of i(g) wrt g?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-9))\/((-464)\/(-58)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*h - 4*g, 2*h - g + 44 = 7*h. Let s be 10\/6 - h\/(-6). Suppose 53 = s*y - 19. What is the highest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + ((-1870)\/(-1105))\/(2\/13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((33480\/(-495))\/31)\/(1*3\/(-33))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/45, -9, -3\/4, 4\/59, -0.05, 4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 + 8349\/(-322))*35*51*8\/(-12).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: List the prime factors of 7078528787.\nAnswer: 11, 9697, 66361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:54 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 464, 906, 1350, 1796?\n\"Answer: b**2 + 439*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 5. What is the units digit of z(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86 + 204. Suppose -w - 2 = -3*j. Suppose j = 5*n + 3*g, 5*g - 35 = -3*n + n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -767, -765, -763, -761, -759?\nAnswer: -757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-1)\/k)*k**(1\/9)*k*k**(-5\/4)*k*k**1 assuming k is positive.\nAnswer: k**(175\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5139442841 rounded to 3 dps?\nAnswer: 0.514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124 + 128. Calculate the common denominator of -101\/294 and 27\/o + 10\/((-50)\/3).\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5))**2)**(4\/29)*(t**(-7)*t\/(t**(2\/9)*t))**39 assuming t is positive.\nAnswer: t**(-122573\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9930 - -4439. Let o = d - -5533.944. Let a = 43 - o. What is a rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 10*u**2 + 5*u + 1. Let m(z) = z**3 - 9*z**2 + 4*z + 2. Let f(r) = -3*m(r) + 2*o(r). Calculate the remainder when 59 is divided by f(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 6:25 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 2*b + 20 = 0. Suppose 6*l = -b*l + 544. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*y + 51*y - 27200. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3132492 by -4.\nAnswer: -783123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(78) + (sqrt(78) - (sqrt(78) + sqrt(78)*-3 - sqrt(78) - sqrt(78)))*2 - sqrt(78)))\/(sqrt(6)*-2*-3*-6).\nAnswer: 25*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/6 - (-1 + 1). Let y = -4 - -9. Suppose -y*j + 14 = 4*g, -j + 3*j = i*g - 22. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3473 - 3470. Let p(k) be the third derivative of 0 - 1\/24*k**4 - 2*k**d + 0*k - 9*k**2. Calculate p(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.142147 and 119?\nAnswer: 119.142147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86 - 48. Let d = 40 - w. Find the first derivative of 23 + 3123*v - 12*v**d - 3123*v wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 16*q + 166. Let y be t(14). Calculate the greatest common divisor of y and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**8*c**(-3\/5)*(c*c*c\/(c**(2\/31)*c)*c*c*c)\/(c\/(c*c**(-7))) assuming c is positive.\nAnswer: c**(827\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -24*k**3 + 2*k**2 + 3*k + 2. Let u be h(-1). Sort u, -5, 0, 2 in increasing order.\nAnswer: -5, 0, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n + 10. Let v be h(4). Let t(o) = 22*o**2 + 8*o**2 + 12*o**v. Let z(k) = -2*k - k + k. Determine t(z(r)).\nAnswer: 168*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42396.1 years to decades.\nAnswer: 4239.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021177 rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5695843\/146 - -39012. What is the common denominator of (-2)\/5 + 278\/220 and t?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 3712.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3 = 5. Let z be a\/6*30\/2. Suppose -2*u - u = -5*d - 19, z*u - 7 = -4*d. Let q(l) = l + 7. Let p(h) = -3. What is d*q(b) - 5*p(b)?\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149623107?\nAnswer: 3, 181, 275549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*d - 9*d + 2*d**3 + d**3 + 0 + 0 + (-d**2 + 0*d**2 + 3*d**2)*(0*d - d - d) + d - d + 2*d**3)*(1 - 4 + 4 + d).\nAnswer: d**4 + d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 40 = -2*w - 0*w, 5*m - 5*w - 65 = 0. Suppose m = -3*d - 4. Let c = 7 + d. Solve -6 + c = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*l - 7766 = 41*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.16 + -6.84. Let z = d - -7.1. Let o = -1.3 - -7.3. What is the second smallest value in z, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9226103.\nAnswer: 1229, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/28 - 30082\/280. Let w = -497\/5 - q. Calculate the common denominator of -1 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 336365431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 20*r - 31. Let o(c) = 17*c - 30. Let j(d) = 7*o(d) - 6*v(d). Calculate j(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 174\/5394*(10 + 83). Determine n, given that -66\/7*n**4 + 10\/7*n**5 - 10*n**2 + 16\/7 + 122\/7*n**j - 12\/7*n = 0.\nAnswer: -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -13.1. Let j = d - 0.1. Let w = 0.028 - 0.328. Is j less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1477 and 36421?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + q + 7924 + 244, 2*q = -3*t + 4893. Find the second derivative of -196*n + 26*n**5 - t*n**4 + 1633*n**4 wrt n.\nAnswer: 520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -6.3. Let j = 293 + -292. Let l(g) = g + 5. Let u be l(-6). Which is the closest to j? (a) 1 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -10 (b) 85 (c) -2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*o**2 - 108*o - 94.\nAnswer: -2*(o + 1)*(7*o + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*(0\/5)\/7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -673*t**5\/20 + t**4\/6 + 3*t**3\/2 - 7*t**2\/2 + 1521*t. Find the second derivative of u(k) wrt k.\nAnswer: -4038*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -286, -1402, -3696, -7522, -13234, -21186, -31732, -45226?\nAnswer: -62022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -88132*-6\nAnswer: 528792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 194053245 and -53793?\nAnswer: 194107038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10*n**2 - 14*n - 12. Calculate the remainder when c(5) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 2*g + 0*g)*(-2 + 2 + 3*g) + (3*g**2 - 7*g**2 + 3*g**2 + 1)*(0 + 3 - 1).\nAnswer: 4*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 444, 2686, 8734, 20478, 39808, 68614, 108786?\nAnswer: 162214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 843 + -830. Let n(t) = 4*t - 5. Give n(w).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/888540 and -113\/2399058.\nAnswer: 23990580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away 420897400?\nAnswer: -420897399.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 400 = q, 6*y - 10*y + 3*q - 770 = 0. Let f(l) = 12*l**3 - l**2 + 4. Let s be f(-3). Let x = y - s. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 1354*g - 13786. Determine w(11).\nAnswer: 1108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 9*s**2 + 8*s + 13. What is l(6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j - 2. Suppose -3 + 7 = -4*h. Let u be f(h). What is the third derivative of 0*r**2 + u*r**4 + r**2 + 4*r**4 wrt r?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 0*t**2 + 0*t**2 - t**2. Let j(k) = 23 + 23 - 146 + 25 + 46 + 30 - 40*k. Calculate j(b(x)).\nAnswer: 40*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 4*k = 15. Let p = -4.07 - -0.07. Let d = p - -4.4. Which is the second biggest value? (a) k (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**3 - t**2 - 6*t + 4. Let n(p) = -3*p**3 + p**2 + 5*p - 3. Suppose 69*u = 75*u - 3420. Let l = -565 + u. What is l*g(j) + 6*n(j)?\nAnswer: 2*j**3 + j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:00 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -50324*v. Let x(q) = -2*q**2. What is x(s(f))?\nAnswer: -5065009952*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i - 7*i - i)*(1 - 3 + 1 + 0 + 0 + 1 + (-1 - 4 + 4)*(2 + 1 - 2) + 2 - 3 - 1) as b + u*i and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*d - 43*d - 42*d - 34*d - 49*d.\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 104*f. Let a(u) = -u**2 - 2*u + 6. Let b(d) = -2*d**2 - 3*d + 9. Let c(o) = 3*a(o) - 2*b(o). Determine p(c(z)).\nAnswer: 104*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*6.58.\nAnswer: 39.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2)*(-5)\/(-5). Let o be -4 + 6 - 1\/q. What is the common denominator of 19\/20 and (-177)\/18*o\/3?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 4883?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (624\/65)\/((-7 - (-60)\/8)*2)\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 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: Four letters picked without replacement from mmmimzmmmmmedmiimmmm. Give prob of sequence zdii.\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5729 and 22242.\nAnswer: 378114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 48 = -2*v - 43, 0 = 2*v - p + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 523442 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 4:49 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -33*t. What is the least common multiple of (16\/(-2))\/(-1) - (-151 - -151) and y(-3)?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3192 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 81899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 3*j + j - 15, -j = 0. Let c(p) be the first derivative of -p**2\/2 + 4*p - 349. What is c(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*r = 43, 56*f = 58*f + 2*r + 8. Sort -1, 0, f, -4, 25 in decreasing order.\nAnswer: 25, f, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4 = 0, -2*a + 2 + 15 = 5*m. Suppose 3*t - s - 40 = 0, -m*t + 2*s + 0 = -38. Let h = -6 + t. Solve 5*n = -2*q - h - 4, 5 = -5*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43407814 by -1.\nAnswer: 43407814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*2*-3 + sqrt(19) + sqrt(152)\/(sqrt(24)\/sqrt(3)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*q - 14*q**2 + 41*q to the form u + k*q**2 + m*q and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1336 and 52939.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1362 and -65\/12.\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**3 + 6\/7*q**4 - 1\/7*q**5 - 6\/7*q**2 + 0 + 8\/7*q = 0.\nAnswer: -1, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 8*s**4\/7 + 4*s**3\/7 - 8*s**2\/7 - 4*s\/7 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 615802.7544 and 0.5.\nAnswer: 615803.2544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -588, -1184, -1802, -2454, -3152?\n\"Answer: -2*f**3 + f**2 - 585*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(2\/91)*(x*x**(-3\/10))\/x*(x*x*((x**3*x)\/x*x*x)\/x)\/x)**4 assuming x is positive.\nAnswer: x**(94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**5\/60 - 7*a**4\/24 - a**3\/2 - 2*a**2. Let t be s(7). Let m be (-10)\/(-3) - (-4)\/6. Put -1, t, m in decreasing order.\nAnswer: m, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at most -4417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -4 (c) -3 (d) -640\/1211\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 58 = -230. What is m rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 670858904 and 0.5.\nAnswer: 670858904.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 1. Let p(y) = -5*y - 1. Let v(a) = -6*a - 2. Let n(u) = 4*p(u) - 3*v(u). Give -2*n(m) - 3*r(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 33492275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -30*k**3 + 3*k**2 - 3*k + 2. Let l be m(2). Let v be 2\/9 + l\/(-9). Suppose 5*r = v + 19. What is the remainder when 15 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/2*(-6 + -1 + -1). Suppose 0 = -3*v - 2*g - 22 - 36, -v + 3*g - 1 = 0. Let l = z - v. Solve c + c = l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-424)\/(-68) - 5 - (-3 - (-25 - -21)).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 17*m + 11. Determine g(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.67605 and 12.\nAnswer: 10.32395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 7)*(-1 + 1 + 2*d) + 29*d - 9*d - 172*d)*(4 + 0 - 7).\nAnswer: 426*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 237725 - -2107003.\nAnswer: 2344728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8\/39741 - 39685\/278187. Let q = 16 + -31\/2. Let l = 17\/24 - 1\/24. Which is the closest to q? (a) -0.5 (b) l (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1378\/(-91) + (-580)\/58 + (150\/21 - -3)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5*(-1 - -91). Suppose 3*c - k = 156. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50988 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*w - 289*w - 8670 = 7687 - 4765 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 71. Suppose 4*r + 2*r - 174 = g. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 12:18 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 1 - 48*p**2 + 59*p**2 - 64*p**2 + 0.\nAnswer: -53*p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66*h**3 - 1245*h**2 - 1869*h + 7380.\nAnswer: 3*(h - 20)*(h + 3)*(22*h - 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100322 + -10222233?\nAnswer: -10121311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 165*z - 540 - 1275 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*a - 1. What is the highest common factor of 70 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/15720550 and -28\/64605.\nAnswer: 47161650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 - -143.18. Let p = o - 0.18. Which is smaller: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 38515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from bbtttbbbtttbttbbbbtt.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - r - 4*r)*(4*r**3 - r**3 - 5*r**3 + (5*r**2 - 5*r**2 - 2*r**2)*(1 + r - 1)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 611 and 332615569.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 - 101.09. Let s = -110.6 + 111. Sort s, 2\/11, y.\nAnswer: y, 2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 12:40 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10550472?\nAnswer: 2, 3, 17, 19, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 12*w = -908, -54*w + 49*w = 37*u - 454 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -805*y - 2659*y + 577344 = 1802*y + 942*y for y.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, 0.3, 10, -0.4, -3, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.9 + -2.9. Let r = p - 8. Let k = -0.2 - -0.6. What is the nearest to 1 in k, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/168 and -111\/112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1134*s + 6283. What is b(5)?\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 705291 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271108 is divided by 89507.\nAnswer: 2587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016436 rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6835 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: Add -158.1554 and 6565520.\nAnswer: 6565361.8446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 y when four letters picked without replacement from {f: 3, y: 11}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1408 and 1936?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (-1)\/2)*2. Suppose 0 = -l*j + 6*j - 60. Suppose 3*s - 13 = j. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 116*v**2 + 446*v - 51795. Calculate a(116).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) 0.02 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 670926234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxmooxomxx. What is prob of sequence ooxm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -1) + (11 + -3 - 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/((-8)\/12))\/1. Let t be -9 - 0*c\/6. Let v(l) = l**2 + 4*l - 20. What is the tens digit of v(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = 2*x, -4 - 8 = -2*d - 2*x. Suppose -2*f + 4*v = -380 - 0, f = -d*v + 194. Let m = -107 + f. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqu when three letters picked without replacement from mqqtuqqt?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 2\/31, -0.2 in decreasing order.\nAnswer: 2\/31, -0.2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 7)*(3 - 3 + 12)*(5*a - 26*a - 9*a).\nAnswer: 3240*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 11:12 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + x**2 - 2*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488299589?\nAnswer: 71, 163, 42193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 12*h**2 + 8*h + 8. Let n(s) = -4*s**2 - 3*s - 3. Suppose 32 = 20*k - 16*k. Let w(f) = k*n(f) + 3*p(f). Let u(r) = -3*r + 9*r + 5*r. Give w(u(d)).\nAnswer: 484*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00066664908 rounded to 7 decimal places?\nAnswer: 0.0006666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 639958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*k + 2*f - 326, -4*k - 3*f = -1299. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-21) - (-40)\/630*12\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -296 by 2.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7446651 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/10)\/((-3)\/15). Suppose 0 = 4*g - 8 - u. Suppose 0 = -4*d - 16, 2*d - 8 = -g*i - 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 2*y**2 - y. Suppose -3*b - 5*r + 21 = 0, -4*b + 0*b - 5*r = -23. Let w be -2 - (-4 + 0) - 2. Suppose w = -2*s + b + 2. Give x(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -8*d + 12, -105 = 5*d - 17557*g + 17552*g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**3\/30 - o**2\/10 - 13. Factor m(l).\nAnswer: l*(l - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1243, 1246, 1259, 1288, 1339?\n\"Answer: c**3 - c**2 - c + 1244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hor when three letters picked without replacement from {r: 1, h: 9, v: 4, o: 1, s: 4, j: 1}?\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -46*d**2 - 1. Determine i(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -73*p + 7585. Determine a(104).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 12*z + 11. Let d(g) = g - 1. Let w(k) = -d(k) - u(k). Let l be w(8). Calculate the common denominator of l\/6 + 1\/(-2) and -48\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*p - 2*z - 29, -p + 3*z + 13 = 0. Suppose o + 260 = -4*o. Let l = o + 76. Solve 5*b = -l + p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1725965, 3451965, 5177967, 6903971?\nAnswer: 8629977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -15*v - 69 - 18, 3*w + 50 = 10 - 14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, -0.5, -3, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45, 50, 55, 60?\n\"Answer: 5*q + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 93 + 26 - 3*x + 30.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*m - 81*m = 15. Suppose 4*f + 4*t = -16, -2*t = 4*f - m*t - 5. Which is the third smallest value? (a) 0 (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/80 and -31\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*g**3*l**2*z**3 - 136419*g**3*z**3 - 5*g**2*l**2*z - 16*g**2*l**2 - 1064*g**2*z - 2*g*l*z + 19*l**2*z**3 wrt g?\nAnswer: 228*l**2*z**3 - 818514*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**4 - 6*j**2 - 83 with respect to j.\nAnswer: 8*j**3 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -53. Let n be ((-20)\/u - 2)*-48. Is (-194)\/3*n\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6166 divided by 2.\nAnswer: 3083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 35\/(-105) + 188\/6?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**4\/4 + s**3\/3 - 5*s - 4. What is w(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, s: 10, y: 4, c: 2, d: 1}. Give prob of picking 1 s and 1 y.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*p - 281*p - 26 = 0. Let s(o) = o**3 - 5*o**2 - o + 1. What is s(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 - 8*l**2 + 4*l - 45. Let n be u(4). Let x be (-3 + 2)\/(1\/11). Let f = x - n. What is the remainder when 124 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-31 + -3 - -50) - -29.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1353.\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g\/g**(-20)*g)))**(14\/9)*g**(1\/9)*g*(g*(g**(2\/77)*g)\/g)\/g assuming g is positive.\nAnswer: g**(25582\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - (-58 + 84 + 75)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/584804 and -7\/132910.\nAnswer: 2924020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -164*c**3 + 44. Let f(d) = -11*d**3 + 3. Give 88*f(g) - 6*l(g).\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 2*d - 182. What is c(-14)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 129?\nAnswer: 25\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in 4, 8, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/14 and -25\/6072.\nAnswer: 42504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 10*y**2 - y - 2. What is the remainder when m(-2) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -5 (c) 0.2 (d) -0.049 (e) 2 (f) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 72*j**2 + 27650*j + 761. Determine m(-384).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 528763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - (-6 + (-1 - -14) + 7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -433 - -2?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.28 and -201647.\nAnswer: -201647.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 - 13*b + 29. Determine c(7).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3738 + -1?\nAnswer: 3737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 433 - 284. Let n = 250 - j. Is n a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.622 + -13.3. Let x = l + -0.022. Let s be (-2)\/3*(-99)\/(-22). Sort 9, s, 0.4, x in decreasing order.\nAnswer: 9, 0.4, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 388 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1346 + 1363. Solve d = -3*k + 2 - 1, 0 = 5*d + 3*k - v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.068589 + 0.06558. What is r rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86076 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.089 * 0.11.\nAnswer: -0.00979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2. Let h(o) = 423483023*o**2. What is h(f(r))?\nAnswer: 423483023*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1148341266 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -1\/6*z**2 + 2\/3*z - 1 - 5\/3*z**3. Factor o(q).\nAnswer: -(3*q - 1)*(5*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11458510\/(-850) + 6\/10. What is f rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*c + 150*c + 45*c)*(-81 - 53 - 8 + 78) to m*c + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -1593*r**2 - 156120*r - 588 = 0.\nAnswer: -98, -2\/531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1553 rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 11. Suppose 2*v = -4, -f + 2*v = -11 - 0. What is the remainder when b is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atjjauj. Give prob of sequence uaj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 466444 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6275 = 6*x - 7045. What is the greatest common factor of x and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 26*f + 44. Calculate the lowest common multiple of 30 and m(-1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.3 (c) -13\/16 (d) -1\/6 (e) -3\/2198 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -443, -1787, -4033, -7181?\nAnswer: -11231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/40*(264\/(-3))\/11?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 308781287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -69513 and 0.3.\nAnswer: -20853.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151.2 + 1407.2. Which is greater: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 136*o**2 - o**3 - 7*o**3 - 3 - 66*o**2 - 70*o**2 - 3*o**4 as g*o**4 + a*o**3 + b + d*o + f*o**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/(-6) - (-90 + 0). Suppose -5*g - 12 = -d. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8829317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*o - 12, 3*b + 5*o - 18 = 2*o. Suppose 0 = 4*v + 9 + 3. Let p be (4\/v + 1)*-9. Solve 0 = -p*f + b*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 23. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 8*p - 38. Let s be v(-3). Solve -3*r = -5*y - 24 - 10, -s*y - 11 = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9968645537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 99? (a) -1\/11 (b) 0.01 (c) 0.2 (d) -1 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j**3 - 76*j**3 - 12*j**3.\nAnswer: -68*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 43*i**2 - 38*i + 212. Determine r(-44).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 5*k + 197 = -5*r, 726*k - 734*k = -5*r + 379 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 e when four letters picked without replacement from {s: 8, e: 4, p: 5}.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -2\/5, 3, 1\/4 in decreasing order.\nAnswer: 3, 1\/4, -2\/5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p + 51*p - 29*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406965 (base 15) in base 8?\nAnswer: 67077477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112224 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569129 is divided by 125.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1\/7, 0.3, -14261\/82?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**2 - 3 + 3)*(c - c + 2*c) + 5*c**3 - 2*c**3 - 4*c**3 - 7*c**3 + 15*c**3 + 8*c**3 as q + o*c**3 + y*c + b*c**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14505151 (base 6) to base 9\nAnswer: -851814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12\/5 (b) -2 (c) -0.3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215 + -211. Let p(f) = f**3 + 4*f**2 - 4*f + 3. Let x be p(-5). Suppose -5*d - 9 = 3*q, -3*d = -3*q + 7*q + 12. Sort c, q, x in decreasing order.\nAnswer: c, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 0*z**2 + 0*z**3 - 1\/110*z**5 + 0 - z - 1\/66*z**4. Let d(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 8 - 41 = 0. Let d(o) = 7*o - 7*o**2 - 3*o**2 + 4*o**2 - 2 - o**3. Give d(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/115672 and -71\/1272392?\nAnswer: 1272392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g**3 + 6*g**2 - g + 4. Let j(b) = 8*b**3 - 7*b**2 + b - 5. Let k be (-7 - -1)\/6*1*-7. Calculate k*h(i) + 6*j(i).\nAnswer: -i**3 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2. Let y(t) = -t - 3. Let b(c) = 306*c + 3. Let o(h) = -b(h) - y(h). Give o(n(j)).\nAnswer: 915*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from wbwwbwwbbwbbwnwbwbbb?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 13. Let b be -4 - (-3 + 2) - (-9 + 12). Calculate s(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-3 - 42) - -37\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -157*b**3 + b**2 + 319*b**3 - 10*b - 6*b**2 - 160*b**3 as m + u*b**3 + w*b + r*b**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -30289 at least as big as -30290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1401834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 250012291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44310117 a multiple of 1142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-1))**45*b**(1\/7)\/(b\/(b*b*b*b**(-3))) assuming b is positive.\nAnswer: b**(309\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2. Let z(x) = -2*x - 2. Let w be (-45)\/6 + (-3)\/6. Let o be (1\/(-2))\/((-4)\/w*-1). Let f(y) = -1. Let v(p) = o*z(p) - 2*f(p). Calculate v(b(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26890 and 26890.\nAnswer: 26890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -283*x - 1254245 + 174539956. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202414996 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((2 + sqrt(7))*1)**2 - sqrt(7)).\nAnswer: 3*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + 31*x**3 - 412*x**2 - 2080*x.\nAnswer: x*(x - 13)*(x + 4)*(x + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123135 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26855887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 - 6)*(0 + 2). Suppose m*n - 6 - 2 = 0. Suppose -55 = -4*a - 3*u + 12, -n*a + 3*u + 11 = 0. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 687720877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40514 - 81?\nAnswer: 40423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 5, -45, -0.3, -1.4629?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 251 (b) -4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4577\/9 - -513. Let k = -182\/45 + o. Which is greater: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + 2)*((-4)\/(-70) + (-4247)\/(-9590))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 368 + 258 = 0. Let s(f) = -f**3 + 12*f**2 - 20*f - 2. What is s(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 1061?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*z = -18, -4*x + 6 = 7*z - 2*z. List the prime factors of 1264\/x*(-2)\/(-8).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 3*c + 97. Let v(b) be the second derivative of -1\/12*b**4 - b**c - 9\/2*b**2 - b + 0. Find w, given that v(w) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 21*l. Suppose 0 = -5*u + 223 - 8. Let a = -1716 + 1718. Let z(j) = 24 - a*j + 19 - u. Give h(z(i)).\nAnswer: -42*i","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*c - 442, 3*c - 23 + 8 = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45114 divided by -309.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59921952979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + 15 = -10*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11351043*v*x**3 - 79*v*x - 2*x**3 + 1533*x + 14 wrt x?\nAnswer: -68106258*v*x - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(1008)).\nAnswer: -24*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/(-12) - 1)*2. Which is the third smallest value? (a) i (b) 9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1 + -1.5. Suppose 373 = -5*q - 167. Let y = 755\/7 + q. What is the closest to 1\/2 in 0, y, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4206, -8640, -16026, -26358, -39630, -55836, -74970?\nAnswer: -97026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-1\/8))*b**(1\/11)\/b)\/((b\/b**(1\/73))\/b*b**16))**(-42) assuming b is positive.\nAnswer: b**(2296119\/3212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -92?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/7 of a week?\nAnswer: 33120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*n + 84 = 0, 4*p + n - 59 = p. Suppose 2*d = -24 + p. Calculate the remainder when (0\/2 + d)*-13 - 4 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from doooooooodoooood.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25 + u - 825*u**2 - 3*u + 486*u**2 wrt u.\nAnswer: -678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**4\/12 - i**2\/2 - 2*i + 12. Let b(j) = -j**2 + 4. What is -b(o) - 4*q(o)?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8416 - 5534. Calculate the remainder when y is divided by 957.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*d - 4*d. Suppose 5*y - 3*u - 556 = 0, 0 = y + d*u + 14 - 116. Suppose -179*h = -208*h + 1276. What is the greatest common factor of y and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63.4 or -45\/4?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 70800859\nAnswer: -3\/70800859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.046, 0.1, -1 in decreasing order.\nAnswer: 5, 0.1, 0.046, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyrr. What is prob of picking 4 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12*n + 3. Let q(c) = -9423*c. Calculate d(q(p)).\nAnswer: -113076*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 134\/18 - 56*10\/80. Let n = 0.08 - 4.08. Which is the nearest to -2? (a) 2 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 n when four letters picked without replacement from nhnnzzznhznzzhhnn.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 g when four letters picked without replacement from {j: 3, c: 4, z: 1, g: 1, s: 5, l: 1}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6143*s - 3 + 4 + 28*s.\nAnswer: -6115*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18674145 divided by 5?\nAnswer: -3734829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 18 = 5*s, 4*p = -0*s + 2*s + 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 19 = -2*r, -5*a - 3*r + 7 = r. Suppose -a*t + 13 = -11. Is 12 a factor of 37 + 1 + t\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 244 + -253. Let q(k) = 5*k - 3*k + 14 + 2*k - 3*k. Let d be q(j). Solve -5*r + 20 = 0, 2*v - 40 = -3*v - d*r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-6)*5*2\/3*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/((-162)\/24)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 170.9 - 161. Let u = m - 9.89999813. Round u to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 35696 = -3*r + 35714, 17*b = -3*r + 126 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -316170 or -316057?\nAnswer: -316170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z + 32. Give p(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 + 69.84. Let y = j + 12.2. Is y greater than or equal to -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8437 and 24013.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -774?\nAnswer: -232.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -87. Let h = -39 + o. Let n be 2\/6*15\/h. Which is the biggest value? (a) n (b) 2 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 3*l + 3 - 1\/15*l**6 + 0*l**2 + 18\/5*l**5 - 54*l**4 + 0*l**3. Factor b(h).\nAnswer: -2*h**2*(h - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16426, 16526, 16626, 16726, 16826, 16926?\nAnswer: 17026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80185 and 880.\nAnswer: 14112560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l\/l**(-4\/7)*l)\/((((l**(1\/5)*l)\/l)\/l*l)\/l))**(-42)\/((l**1)**(-3\/28)\/(l**8*(l\/((l\/(l*l*l\/l**(2\/7)*l*l*l))\/l*l))\/l*l*l)) assuming l is positive.\nAnswer: l**(-35389\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/5)\/(4\/(-10)). Suppose 4*q = -q - 4*b + 21, -j*b = 3*q - 12. Solve 9*n - 10*n - q = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20220 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -0.10012?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13922912 and 6256.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1944 - -4471. Is 22 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**9)**(-7\/9)\/(h**14)**(-22) assuming h is positive.\nAnswer: h**(2828\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306*q**2 + 4*q + 2791 - 2791.\nAnswer: -306*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 37. Let k be j\/15*-21 - 1. Suppose -k*u + 5*u = -120. Solve r = 5*n - u, 5*r - 14 - 27 = -4*n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-56)\/(-10) - 2\/(-5). Suppose -p*h = -5*h - 1. Do h and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -2*q + 3*g - 1270, -2*q + 508 = 2*g. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 w when three letters picked without replacement from {w: 1, k: 11}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 949*w + 472. Is u(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-2)\/55)\/(16\/(-88)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 2*x - 13*x + 11*x + 18*x + 19. Determine o(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*j - 3, -m + 8 = m. Suppose -j*g + 15 = -0*g. Solve 0*i + 10 = g*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**7*v)\/(v\/v**14))\/(v**(-6))**(-1) assuming v is positive.\nAnswer: v**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 353 * 0.06\nAnswer: 21.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 5*s + 7. Let v be a(5). Suppose -3*x + v = 5*f + x, 0 = 3*f + x - 45. Suppose -2*n = -4*n + f. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3913 + 2.3913. Which is the closest to x? (a) 1 (b) -385 (c) 4\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-3))\/(1*21). Let j = -1272\/59 - -8786\/413. What is the nearest to -1 in b, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 5, 1\/4, -2.2, 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11238320, 11238325, 11238330?\n\"Answer: 5*u + 11238315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31610 is divided by 3917?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144.91 - -145. Which is the second biggest value? (a) t (b) 6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9350822 millilitres to litres.\nAnswer: 0.0009350822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 28*q + 2*z + 10 = 0, -q + 2*z = -10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*y + 3*y. Let l = y - 41. Suppose l*x - 4*x - 425 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 + 2)\/(362\/(-181))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11891219 is divided by 233161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 54.1 * 225.857\nAnswer: 12218.8637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/20*(-1 + -1). Suppose -3*i + 204 = -5*r + 8*r, f = r. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 922.3777ug?\nAnswer: 0.0009223777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/215 and -59\/45.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2166, 2330, 2530, 2784, 3110, 3526, 4050?\nAnswer: 4700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 41 - 84 + 43. Let u(s) = -13*s**2 - 4. Let a be 16\/6*9\/(-6). Let v(i) = -13*i**2 - 4. Let q(g) = a*u(g) + 3*v(g). Calculate b(q(m)).\nAnswer: -26*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -138 or -553\/4?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-51)\/(-9)*(-18)\/3. Let f = -32 - d. Factor 17*n**2 - 2*n**f - 4 + 52*n - n**2 - 12.\nAnswer: 2*(n + 4)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**5\/7 + 20568*q**4\/7 - 7589520*q**3 + 1266905600*q**2\/7 - 9482292000*q\/7 + 21053520000\/7 = 0.\nAnswer: 4, 10, 5130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 1423*u - 1422.\nAnswer: -(u - 1422)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 2*h**3 - 7 + 3 + 6*h**2 + 0*h**3 - 3*h. Is 7 a factor of m(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 4. Let h(q) = 20*q**3 + q**2 - 1. Let l be h(o). Let j = 27 + l. Which is greater: 6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*p + 23191 = 25315 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**26*y)\/y**(15\/8))**(-13\/7))**(-7) assuming y is positive.\nAnswer: y**(2613\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-30))\/(4*(-18)\/(-60))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126576 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1781 - 1466?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 405*n**4 + 407*n**4 + n**2 - 4*n**3 + 5*n**3 - 815*n**4 - 2 to k*n**3 + c*n + h*n**2 + z + m*n**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10221 + -12133?\nAnswer: -23020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o. Let z(f) be the third derivative of -f**5\/20 - 2*f**2. Let g = -521 - -517. Let r(u) = -2*u**2. Let w(j) = g*r(j) + 3*z(j). Determine d(w(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(38*b + 15*b + 22*b) + 4*b - 7*b - 14*b.\nAnswer: -167*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 7*u - 6. Let a be j(-6). Which is smaller: a or 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 12\/4917197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 + 91 + 76*w.\nAnswer: 76*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/3*(-6219)\/(-138). Let h = -60 - t. Let l = 0.04 - 0.04. Which is greater: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 + (10 - (-8 - -12) - -4).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/24)\/(4\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -5 - 5\/30?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 12) to base 8.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.44414062504 take away -4.1?\nAnswer: -0.34414062504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10645448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 + 2.05. Let k be (1 - (-12)\/(-16)) + (-57)\/84. Is n > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29823700 to the nearest 100000.\nAnswer: 29800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10630 and -0.19.\nAnswer: 2019.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 3:54 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -500 divided by -50\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 45*p - 590. Let r be l(13). Sort 5, -168, -2, r in decreasing order.\nAnswer: 5, -2, r, -168","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1104 and 14700?\nAnswer: 1352400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3597650 and 243?\nAnswer: 874228950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 7*u**2 + 2*u - 3. Let z be p(-6). Let o = -17 + z. Let q be 14\/8*(5 - 2\/2). Solve y = -2*g - g + q, -4 = -4*g - o*y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 1:42 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*v = 3*v + 13, -5*p = 5*v + 25. Let h = 211.487 - 212. Let s = 0.013 + h. Which is the closest to -4? (a) s (b) -0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -460852.32800021 + 460849.228. Let s = -2.91 - 0.19. Let i = s - l. Round i to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 30. Let z be 1\/2*x\/5. What is the nearest to z in 4, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 287.416\nAnswer: 201.1912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -3b57c?\nAnswer: -3b580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 688, 1557, 2776, 4345, 6264, 8533?\nAnswer: 11152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14599 (base 15) to base 9\nAnswer: 108630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12210111 + 20000?\nAnswer: 20000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58\/5 + -164\/15. Sort -1, p, -8, -4 in increasing order.\nAnswer: -8, -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.001 - -0.499. Let z be 5 - ((-87)\/(-12) + -2). Which is the closest to z? (a) 0.1 (b) o (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 - 45030*c + 45030*c - 274*c**5 + (3 + 1 - 1)*(3*c**4 + c**5 - 3*c**4).\nAnswer: -271*c**5 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/4, -0.1, -2707027?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152990 and 76495.\nAnswer: 152990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32005 + 960271\/30. What is the common denominator of v and 187\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*x - 22201 = 103*x - 3484 for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*g - 8640026, 3*g - g + 10 = 0. Suppose -3*u - o = 3*b, -9570296 - 1949708 = 4*b + 2*u. What is b rounded to the nearest one hundred thousand?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 - 26*p**2 - 13*p**2.\nAnswer: -47*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -23*g - 8. Let l(u) = 46*u + 15. Calculate 5*h(t) + 3*l(t).\nAnswer: 23*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1688 and 24775819.\nAnswer: 24775818.8312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 771\/7 + -110. What is the closest to 22 in -5, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1137184513*b**6 - 1222827384*b**2 wrt b.\nAnswer: -136462141560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 + 239*l - 15912.\nAnswer: -(l - 884)*(l - 72)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 720*q**3 + 3*q + 95 wrt q?\nAnswer: 4320*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 27 in descending order.\nAnswer: 27, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbfbeebbeeebfbob. What is prob of picking 2 e and 1 f?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6670 + 6670.5338. Let l = u + -0.54. What is l rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*g + 19, -4*p + 12*g = 13*g - 10. Let i(l) = l**3 - l**2 - l - 4. Calculate i(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {b: 1, k: 6, f: 1, w: 1, c: 3, a: 5}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 155 + -127. Suppose 15 = 3*m + v, -4*m + 15 = 31*v - w*v. Solve -36*x + 33*x - m = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1011 is divided by 41?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 7*h**2 + 6*h - 6. Let s be f(-8). Let i = 180 + -100. Let r = i + -80. Solve 0 = -2*m - 3*n + 9, r = 5*m - 3*n - s - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**4\/3 + 108*b**3 - 8416*b**2\/3 + 6420*b + 345950\/3 = 0.\nAnswer: -185, -5, 11, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -42*((-3)\/9 - 0). Let m = -8 + c. Let w be (-4 + -3)*2\/(-2). Is m < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 0.062567?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 6:54 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + x**2 - x + 12. Let t be b(0). Let h = -18 + t. Let l be ((-176)\/h)\/(5*4\/1650). Round l to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10038 greater than -611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -106, -190, -318, -496, -730, -1026?\nAnswer: -1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3984587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 1200001221020022?\nAnswer: -1200001221020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*v - 25*v = 16*v + 309*v + 16464 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7311*u + 748 = -7379*u - 1768 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 + 0.1. Let r = n - 1.9952. Round r to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113849635*r**2 - 1425059*r.\nAnswer: 227699270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-649)\/(-22))\/59)\/(1*(0 + -1))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*c + 3*c. Suppose -9*o + c*o = -48. Solve -3*p = -7*p - o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 3*l**2 + 3*l**2)*(-2*l + 0*l - 2*l + (-6 + 3 + 1)*(5*l - 3*l - 3*l)).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 11*f**2 - 27*f + 212. Is w(-33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 5. Suppose -2*b = -6*b - 24. Let p be j(b). Suppose 0*s - s + 2*r - 2 = 0, s + p = 5*r. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(3*h + 3*h - 4*h + (3 - 2 + 1)*(1 - 1 + h))*(-24*h**4 + h**4 - 4*h**4).\nAnswer: -108*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 144?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvk when three letters picked without replacement from {k: 3, v: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 9*g + 7*g)*(4*g - 2*g - g**2 - g**2) + g**3 + 3*g - 3*g to y*g**2 + s*g + v + i*g**3 and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 64 = -2*m, -63*m - 134 = -58*m + 4*i. Let g be 34\/6 + -5*(-18)\/m. Factor 4\/3*c**4 - 8\/3*c**2 - 2\/3*c**5 + 2*c**3 + 0 - g*c.\nAnswer: -2*c*(c - 2)**2*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -138 + 389. Let z = -252 + w. Is z at most -5\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.8332 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 + -151. Let b be u\/(-4) + (-3)\/6. Is 13 a factor of (b\/(-1) + 3)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 0*h + 3\/2*h**2 + 66. Let v(m) = 3*m**2. Calculate v(u(j)).\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 4*z + 1. Let g(r) = -r**2 + 4*r + 2. Calculate 3*g(l) - 4*t(l).\nAnswer: l**2 - 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 29*s**2 - 7. Let x(n) = 15*n**2 - 4. Let k(g) = -3*h(g) + 5*x(g). Give k(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g - 1. Suppose -y = -7 + 5. Suppose -4*a - 22 = -3*b, -2*a - y*a = 4*b + 8. Let x(k) = k - 1. What is b*x(u) - p(u)?\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2412078 + -28986743\/12. Let f = c + 3486. What is the common denominator of -95\/16 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -105374, -210719, -316008, -421211, -526298, -631239, -736004?\n\"Answer: 5*u**3 - 2*u**2 - 105374*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47\/(-20) + (-99)\/(-36).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**6\/180 - p**5\/30 + p**4\/8 - p**3\/3 + 5*p. Let f(h) be the second derivative of o(h). Calculate f(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*u**5 + u**4 + 2128*u**3 - 60*u**2 + 590 wrt u.\nAnswer: 300*u**2 + 24*u + 12768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 23641417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1558 - 142 + 45133*b - 45327*b wrt b?\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 25*n**2 - 192*n - 110. Calculate d(-31).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3) + (66 - 59).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114398 and 600.\nAnswer: 34319400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 92?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**4 - 70*z**3 + 165*z**2 = 0. What is z?\nAnswer: 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxxkxxkxxxxxxkkkxkx. What is prob of picking 3 x and 1 k?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 865\/(-35) + (-2)\/7 + 0. Let s be r\/20 + 1385\/20. Calculate the greatest common factor of 34 and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from kcccccjqcqckc?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/5 + 358560*s + 53568864000.\nAnswer: 3*(s + 298800)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -23, 143251.\nAnswer: -23, 3, 143251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 0*i**2 - 2*i**2 + 0*i**2. Let m(f) be the first derivative of -13 + 0*f - 5\/2*f**2. Determine j(m(u)).\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4417*w + 9938*w - 4414*w - 1107*w - 5*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 332, 1129, 2448, 4283, 6628, 9477, 12824?\nAnswer: 16663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 270*f**2. Let h(r) = 2*r + 296. What is h(i(g))?\nAnswer: 540*g**2 + 296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c - 2 = f, 3*f + 5*c - 27 = 0. Let v be 5 + -1 - (-4 - -4). Find the third derivative of 18*w**2 + 8*w**4 - 4*w**v - 2*w**f wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 - 105*r**3 + 110*r**2.\nAnswer: -5*r**2*(r - 1)*(r + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 10 - (7 + -7 + 2) - 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1588523340.\nAnswer: 2, 3, 5, 26475389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 28*j + 1. Let d be x(17). Let g = -70 - d. Calculate the remainder when 183 is divided by g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/6 and -11\/22174752.\nAnswer: 22174752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1225*g - 18*g**2 + 1225*g + 0*g**2 + g**2 + 0*g**2 + (-1 - 4 + 4)*(-5*g**2 + g**2 + 3*g**2) - g**2 + 0*g + 0*g)*(3*g - g - g).\nAnswer: -17*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -23.04 times -5271\nAnswer: 121443.84","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1 (b) 75106 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 766*y + 134299. Determine p(272).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 2, -1\/4, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**3\/3 - 9*l**2\/2 + 60. Factor z(u).\nAnswer: u*(u - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 375 + -373. Let q(m) = 6*m - 2. Give q(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from {s: 5, i: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 + -10. Calculate the remainder when (-1 + -30)*j\/21 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 29 + 22 + (-4 + 5 - 2)*(0 + 1 + 1))*(-3*y + 0*y + 2*y)*(-4*y + 0*y + 5*y) to n*y + k*y**2 + l and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 + 10 + 2*t**3 - 3.\nAnswer: -t**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25372*x**3 - 90*x**2 + 2*x + 5578068 with respect to x.\nAnswer: -76116*x**2 - 180*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11130 (base 4) in base 12?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532084.\nAnswer: 2, 7, 31, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 79, 2, -0.3, -5, -22 in ascending order.\nAnswer: -22, -5, -0.3, 2, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 9457907387.85?\nAnswer: 9457907382.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1210552227 to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/4 - 57*q**3\/4 + 265*q**2\/2 - 267*q - 414.\nAnswer: (q - 46)*(q - 6)**2*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/12)\/(3 - 50\/16). Calculate the remainder when n\/14 - 2900\/(-28) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2993573*b + 6*b**3 + 1496838*b + 1496735*b.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18, 81, 186, 333?\n\"Answer: 21*l**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 11:06 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-76*2\/(-8))\/(0 + 1). Let m = 25 - t. Is m smaller than 24\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.4181 - 0.4181. Let l = 4.46 - 5. Sort l, 1, 2, f in ascending order.\nAnswer: l, 1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0*d - d - 226, 3*g = -4*d + 160. Suppose -5*i - 7*n = -2*n - 55, -g = -4*i - n. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/((-1)\/8). Suppose j = -j + q. Find the third derivative of 3*b**2 + 6*b**6 - 4*b**6 - b**j wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 8*k**2 + 6*k - 6. Let o(w) be the first derivative of w**4\/4 - w**3\/3 - w**2\/2 + w - 28. What is -f(d) - 6*o(d)?\nAnswer: -5*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4567 - -6630. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -14*o**2 + 37. Let j(i) = 15*i**2 - 38. Let z(x) = -2*j(x) - 3*t(x). Differentiate z(g) wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 12:59 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 + -36 - (-2 - -15)) + 67.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(11\/42) - -1 and 2\/(-30)*210\/(-20)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*g = -7*g - 216 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from izpigggbwigiwiiig?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18955*l**3 - 5004122*l**2 - 330272448*l - 34848.\nAnswer: -(l + 132)**2*(18955*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4733317879674 + 0.1\nAnswer: -4733317879673.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3 - 76716*w**2 - 230127*w - 153414 = 0. Calculate w.\nAnswer: -25569, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 14070.\nAnswer: -3\/4690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-110)\/(-66)*(-12)\/(-5). Suppose -2*r = 3*o - 5*r, -4*o + 35 = 3*r. Solve -2*x = 2*x - 4*f, -a*x - 5 = -o*f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6589.54 days to seconds.\nAnswer: 569336256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m + 4*m - 6*m)*(49 + 1 + 23).\nAnswer: 219*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*c - 87*c + 3*m = 88*c - 1, -3*m - 11 = 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*q - 54*q - 1267 = 0. What is the remainder when q is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*((-3*k - 4*k + 5*k)*(2*k**3 - k**3 - 4*k**3) + 2*k**4 + 2*k**4 - 3*k**4 + 185505*k**3 - 185505*k**3 - 652*k**4).\nAnswer: 1290*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnxnnpxxnhxdgxx. Give prob of sequence hg.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448 divided by -7.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 - 401*b**2\/2 + 39999*b + 80802.\nAnswer: (b - 402)**2*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 17548.\nAnswer: -350.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/34 - (-1653)\/(-9367)) + 9 + 2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*p + 444 = -736. Let d be ((-2)\/(-9))\/(2\/3). What is the nearest to -4 in 2\/13, d, p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/5)\/(s\/((s*s\/(((s*s**(-13\/4)*s)\/s)\/s))\/s)))**(8\/7) assuming s is positive.\nAnswer: s**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by (6\/3 + -1)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**3 - 29*b**2 - 12*b + 3. What is s(6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (2 + -16 + (-44 - (-59 + 1)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49472267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -744348 (base 9) in base 4?\nAnswer: -1230012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + (-2*sqrt(88)*2 - sqrt(88)) + sqrt(88) + (sqrt(88) + sqrt(88) + -2*sqrt(88)*6 - sqrt(88)))*3)\/((2*sqrt(256))\/(sqrt(8)\/sqrt(16))).\nAnswer: -21*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -272*n**5 + 4*n**4 + 277*n**2?\nAnswer: -16320*n**2 + 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 8*i - 10. Let n be v(6). Solve -4*g - 16 = -11*s + 8*s, n*s = 4*g + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18, -35, -52, -69, -86, -103?\n\"Answer: -17*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3128 + 3138. Solve -26 = -h*k + 23*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-204 - -217) + -31 + 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4240 to the nearest one hundred.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -192*y**2 - 16*y**2 + 31*y**2 to t*y**2 + m + f*y and give t.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h*l**2*m**2 - 412*h*m - 2*h + 1028*l**2*m**2 - 5*l**2*m + 7*l*m**2 wrt m?\nAnswer: -2*h*l**2 + 2056*l**2 + 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by 5.\nAnswer: -76\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 - 7*r**2)*(-119*r**2 - 57*r**2 - 11*r**2)*(-3*r + r - 2*r).\nAnswer: -5236*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011000111000101111 (base 2) to base 14.\nAnswer: -191a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 8*q**2 - 10*q - 9. Let l be j(-9). Let t(d) = -d + 4 + 6*d**2 - 6*d**2 + l*d + 4*d**2. Let s(f) = -3*f**2 + f - 3. Give -3*s(c) - 2*t(c).\nAnswer: c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -172c43 - 33?\nAnswer: -172c76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1133\/165) + (-2)\/15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/36 - 294\/(-36). Suppose 16*b = k*b + 112. What is the remainder when 302 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8064 and 523194?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3*d - 30, d + 44 - 10 = 4*r. Let s(x) = x**3 - 10*x**2 + 9*x + 9. Does 4 divide s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.1 or 76.661?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqf when three letters picked without replacement from ebrqsfb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 69528.8.\nAnswer: 34764.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-6)*765\/(-25)*3. Suppose 96 = -3*i + m. Calculate the smallest common multiple of i and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553.1443t in kilograms?\nAnswer: 553144.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a micrometer in nanometers?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4)*3)\/(54*(-2)\/64)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14843 + 14845. Factor 0 + 0*l**j + 0*l + 2\/9*l**4 - 2\/9*l**3.\nAnswer: 2*l**3*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 4*j + j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 367284+-0.129808638\nAnswer: 367283.870191362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40543?\nAnswer: 40543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17756360, 35512727, 53269098, 71025473, 88781852, 106538235?\n\"Answer: 2*x**2 + 17756361*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 5*g**2 + 3*g + 3. Let k be n(5). Suppose 5*j + 6*m - m - 45 = 0, -k = -2*j + m. What is the remainder when -2*1*(-30)\/4 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**5\/7 + 144378*g**4 - 51069862449*g**3\/7 - 5841152740*g**2 + 1593404939100*g\/7 = 0 for g.\nAnswer: -6, 0, 26\/5, 101065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6631733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.95077 litres in millilitres?\nAnswer: 97950.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*h = 562, 3*h - 761 = 3*p + p. Let t = p - -597. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*p - 67*p + 22*p)*(-4 + 8 + 0) + (3*p + 3*p - 22*p)*(-1 - 2 + 4) in the form q*p + z and give q.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2414 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14315*g**3 + 195473*g**3 + 253695*g**3.\nAnswer: 434853*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = -17*p + 177 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*l**3 + 160*l**2 + 124*l - 240.\nAnswer: -4*(l - 4)*(l - 1)*(11*l + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7006.218cm?\nAnswer: 70.06218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 29*t**2 + 128*t + 48. Let i be o(-33). Suppose -5*c + 2*v - 56 = -i, -2*v = -4*c + 98. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2, -13.6, 22, 3, -4?\nAnswer: -13.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-30)*z)\/(z\/(z*z**(-6\/5)\/z*z))*(z**(3\/16))**(-47) assuming z is positive.\nAnswer: z**(-3041\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (sqrt(228) + (sqrt(228) + sqrt(228)*1 + sqrt(228))*-6) - sqrt(228) - sqrt(228))\/sqrt(12).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -18776579.74?\nAnswer: -18776579.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -167, 1\/4, -1\/337, -6, -5, 0.1 in decreasing order.\nAnswer: 1\/4, 0.1, -1\/337, -5, -6, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*-1)**2 + (3 + sqrt(28))**2.\nAnswer: 12*sqrt(7) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 6*f + 2. Let r be y(7). Let a(w) = -2*w**2 - 17*w - 6. Let v be a(-5). Let o = v - -7. What is the highest common factor of r and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 16*p**2 - 27*p + 18. Let l be j(-14). Let g be 4 - (13 - 16)\/((-6)\/l). Factor -1\/5*h + 1\/5*h**g + 0.\nAnswer: h*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5842934 is divided by 324605.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -44633, -44637, -44643, -44651?\n\"Answer: -d**2 - d - 44631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 2*n + 2. Let j(h) = -h**2 - h - 1. Let y(m) = -4*c(m) - 9*j(m). What is y(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 540 + 323. What is the remainder when g is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28563759 and 970075?\nAnswer: 29533834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688 divided by 8?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -34*m + 412. Calculate the remainder when n(0) is divided by 78.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 3264.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p**0*p)\/p))**23)**(-6\/5)*((p*p*p*(p\/(p**(1\/2)*p))\/p*p)\/(p\/(p*p**6)))**(16\/9) assuming p is positive.\nAnswer: p**(136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 386*l - 349*l - 114*l + 154*l.\nAnswer: 4*l**2 - 695*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/2 - (-3)\/(-3). Let s be z + (1 - 0) - -4. What is the third derivative of 0*l**2 + 4*l**2 - l**2 - 2*l**5 + l**s wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1047*m - 24 = -1043*m. Let n(c) be the third derivative of -c**4\/24 - c**3 - 2*c**2. Determine n(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3068 - 3065. Solve 12\/5 + 12\/5*q - 9\/5*q**2 - 12\/5*q**i - 3\/5*q**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 + 72. Suppose x*r - 2*g - 80 = 0, 2*g = 4*g - 10. What are the prime factors of (24\/r)\/((-1)\/(-65))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3766 - -3768. Calculate the lowest common multiple of 36 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/35)\/(((-10)\/(-7))\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - 52*w**2 - 48*w + 57. Let h be z(-25). Solve 3*k - h = -4*d, -17*d + 12*d - 20 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -20 - -4 - 2 - (1 + -1). Is -18 != x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y = -344 + 92 + 175 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**3 - 3*c**2 + 3. Let i(q) = 14*q**3 + 8*q**2 - 8. Let r = 18 - 0. Let p be 32\/6*r\/(-12). What is p*g(o) - 3*i(o)?\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3 = 5*l, 3*o + 5*l + 43 = 0. Let s = -10 - o. 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 f(y) = y**3. What is f(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:27 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 77?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 763339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 11*o**3\/3 - 7*o**2\/2 + 12*o - 2. Let c be ((17 - 21) + 3)\/((-3)\/9). What is the units digit of d(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 25 = 5. Suppose 2*c - 4*f - g = 18, 45 = 3*c - 3*f. Calculate the greatest common factor of 45 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-26))\/g**18)\/(((g**(-38)*g*g*g)\/g)\/g**(-19\/4)) assuming g is positive.\nAnswer: g**(161\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2809 is divided by 464?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142 + 145. Solve 2*u + t = -b, 2*u + 7 = -4*t + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1666635*g. Let o(r) = 4*r**2. What is c(o(i))?\nAnswer: -6666540*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*y - 1112, -w = -y - 388 - 158. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 151, 156, 163, 172, 183, 196?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4436 - -13932. Suppose -4*p = 5*m + 30010, p + m + c = 1994. What is p rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 (base 11) in base 5?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -225.22535 to the nearest integer.\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13602 is divided by 369.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77916075959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1864 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 126.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -204938, 3, -2, 1 in ascending order.\nAnswer: -204938, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58*i*s**3 + 3*i*s - 2*i + 306 wrt s.\nAnswer: 174*i*s**2 + 3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139758.5637 milliseconds to weeks.\nAnswer: 0.00023108228125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**5\/5 + 252*j**4\/5 + 5292*j**3\/5 = 0. Calculate j.\nAnswer: -42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 451476.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 314*i**2*p**3 - i**2*p**2 - i**2*p - 48*i**2 + 2*i*p**3 wrt p.\nAnswer: 1884*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/(3\/(-6)). Let y = -3 - q. Let j be (y - 3\/(-1))*4. Let f(h) = -2*h + 6. Determine f(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (2 - 4) - -2. Let c be 6 - (2 - 1)*y. Suppose -c*m + 6 = -m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, n: 8, j: 6}. Give prob of picking 1 j and 2 n.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1293 + -1918. Let o = -624.86 - u. Are -2\/5 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12893)\/12*3)\/((-1)\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 744\/3631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1952999 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 g when three letters picked without replacement from {g: 6, k: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 4*f = -41, -28*q = 5*f + 1519 - 1272 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3646661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7555480063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37956 + -19499. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 289?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9621501?\nAnswer: 3, 31, 103457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 329*n + 8 - 110*n - 116*n - 110*n. Let s(q) = -8*q + 7. Give 6*m(d) - 5*s(d).\nAnswer: -2*d + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106457813?\nAnswer: 7, 11, 31, 103, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -12*c + 2*c + 3*c**2 + 24*c - 26 - 5*c. What is the remainder when f(6) is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1930, -3646, -5362, -7078, -8794, -10510?\n\"Answer: -1716*q - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1442, 2402, 3702, 5342?\n\"Answer: 170*f**2 + 450*f + 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.068 and 22610.24.\nAnswer: 1537.49632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 3*c**2 - 7*c + 1. Let f be r(4). Round f to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o - 7*o - o - 3*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s - 7 + 37*s - 3 - 44*s to the form g + a*s and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14569 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-20))\/(1\/(-5)). Let z be m\/(-1) + 172\/(-8). Let i = z + 19. Which is greater: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 7*j + 8*j)*(j**2 - 165 + 80 - j + 82).\nAnswer: 17*j**3 - 17*j**2 - 51*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 761, 766, 767, 764, 757, 746?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*r - k + 3*k, -3*k = r + 11. Let d be (-3)\/3 + (r - 410000). What is d rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(sqrt(605) + -2 - sqrt(605))*2 - (((-1 + sqrt(605))*-1)**2 + (sqrt(605) - ((-2 + sqrt(605))*6 - sqrt(605))**2)))*6.\nAnswer: -7854*sqrt(5) + 88072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 13. Let r(u) = 10*u**2 + s + 8*u - 8*u - 2*u. What is the units digit of r(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**3 + d. Let j be y(-1). Solve 10 = -2*c - j*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 48761106 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 193, -59, -13, -3, 4 in increasing order.\nAnswer: -59, -13, -5, -3, 4, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7838723*i**2*j - 28*i*j - 188151 wrt i.\nAnswer: -15677446*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12, -25, -76, -147, -244?\n\"Answer: -t**3 - t**2 - 27*t + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let x(l) = l**2 - 9*l + 4. Let h(j) = 3*w(j) - x(j). Give h(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 130*t**2 + 2*t - 3. Let y(s) = s**2 + s - 1. Let l(m) = -2*y(m) + z(m). Let a = 2 - 3. Is l(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466 = 4*z - 150. What is the greatest common factor of z and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 3*x - 26, 0 = 2*x - 1534*p + 1529*p + 21 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.229006 millilitres in litres?\nAnswer: 0.005229006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 + 5 = 0. Let q be (-30)\/4*h\/(-6). Suppose -q*m + 36 + 14 = 0. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 30 + 35 + 48 + 0.\nAnswer: -2*x + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 2:00 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59341, 59331, 59321, 59311, 59301, 59291?\nAnswer: 59281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2026 = -9*v + 25615. Let k = v - 1441. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 18. Let n be 1*(3\/t - -5). Let o(k) = 4*k**3 - k**2 + k - 14. Let f(u) = -5*u**3 + u**2 - u + 14. Let l(z) = n*o(z) + 3*f(z). Determine l(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158681 (base 9) in base 6?\nAnswer: 2034501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55431?\nAnswer: 3, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5 = -1. Find the common denominator of 43\/4 and (y\/4)\/((-2)\/(-7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 0*z = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, v: 4}. Give prob of sequence vxx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62769498?\nAnswer: 2, 3, 11, 951053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -6.1. What is the closest to l in -1\/4, -2\/11, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 3*o**5\/10 + 4*o**2 + o + 11. Let u(d) be the first derivative of v(d). Differentiate u(i) with respect to i.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1637 = -10838. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -825.39248 + -0.00752. What is t rounded to the nearest 10?\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 53.31802ml?\nAnswer: 0.05331802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1922 is divided by 114.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/136 and 85\/28.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -5\/2 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/(-210))\/((-12)\/28). Which is the nearest to m? (a) 3\/4 (b) 2\/3 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2184 and 984.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 15\/12*(1 + 91) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/4 and -8 - (25986\/(-2158) - -4).\nAnswer: 4316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 495624864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 20*x + 127. Let j be o(25). Suppose 760 = 2*m - 3*b, j*m + 4*b - 383 = 377. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 496431338?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 4*c**2 + 7. Suppose -5*j = 2*n - 8, -2*n + 5*j - 20 = -7*n. Let u be h(n). What is the greatest common divisor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 858584 = 3*a, -18*a - 429292 = -2*i - 23*a. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13*u - 6*u + 3*u + 9. Let h be (-12)\/20 - 1*(-73)\/5. Is z(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*g**3 + 109394976*g**2 + 91162180*g + 18992100 = 0 for g.\nAnswer: -189921, -5\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 705.4329ug to nanograms.\nAnswer: 705432.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.15769 - -0.14231. Let w be ((-6)\/54)\/((-3)\/45). Which is the nearest to 1\/3? (a) -11\/2 (b) 3 (c) w (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 3*i**2 + 4*i + 4. Let t(r) = -1 - r - 1 + 0. Let w be t(-6). What is the units digit of f(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 244*t = -245*t - 39, 2*s - 4*t = 30 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.4 (c) -1.8 (d) 2 (e) 0.4 (f) 407 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43076980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2341 - -14?\nAnswer: -2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(16) - sqrt(4)))\/(sqrt(21)\/(sqrt(7)*2)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 3*z**2 + 3*z + 1. Suppose -4*w + 10 = w + 2*o, -3*w = -2*o + 10. Suppose -m + 0 + 2 = w. Suppose m = 3*j + 8. What is q(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217\/964 + 6\/241. Let b(y) = y**2 + 11*y + 8. Let u be b(-9). What is the fourth smallest value in 5, u, z, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/(-200)*(-6)\/21)\/((-30)\/(-16))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*q - 4 + 4)*(1 + 2 - 7) - 2*q - 2 + 2 + (2*q + q - 2*q)*(4 + 1 - 4) + 2*q - 4*q + 3*q - q + 5 - 5 - 2*q - 1 + 1)*(-8*q**4 - q**4 + 14*q**4).\nAnswer: 65*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 12 = 2*v, 4*v + 0 + 18 = n. Solve 3*p = -0*p - n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 2. Let k be 0\/(5*24\/30). Put k, p, 5 in increasing order.\nAnswer: p, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129764157 a multiple of 496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*r - 36, 3*w - 7 + 3 = -4*r. What is the third derivative of -120*y**2 + 4*y**4 - 2*y**r - 19*y**3 - 28*y**3 + 129*y**2 wrt y?\nAnswer: 48*y - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqs when three letters picked without replacement from saacsasxzcxczaaqca.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 24*j - 11946. Is 48 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -20. Suppose -4*f + 26 = 2*a, a + n*a + 7 = -f. Suppose -5*i = -2*y - f*i - 2997, -4*y - 5998 = 2*i. What is y rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**2*n**2*w**2 - 15*l**2*n + 259*n**2*w**2 + 4*n*w**2 + 2*n*w - 2*w**2 wrt n.\nAnswer: 4*l**2*w**2 + 518*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 7*q + 7. Let g be b(-8). Is -2 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 270*m + 8. Let i be k(-7). Let g = i + 2685. List the prime factors of g.\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four sevenths of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 140 + 98 + 37 = -10*l, 2*a = -6*l - 158 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11564.76 minutes in seconds?\nAnswer: 693885.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ad (base 16) in base 2?\nAnswer: 1010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 + 10097*n + 254288. Calculate f(-25).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40127 + -267?\nAnswer: 37640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 541173 and 7937204.\nAnswer: 23811612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1959330 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 8*j**2 + 71*j - 8. Let t be x(5). Suppose -19*s = -t*s + 360. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11201021 - -12?\nAnswer: 11201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26990861 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(5\/6 + (-3)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69465 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -12*u**3 - 18056*u**2 - 66028*u + 24016 = 0?\nAnswer: -1501, -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -13*o + 43. Solve -o = r + r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 10.9999935. Round f to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 3*q. Let s(y) be the second derivative of 2*y**3\/3 + 80*y. Give 3*m(k) + 2*s(k).\nAnswer: 3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3735814 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*a - 18 = -68*a. Suppose 4*o = a*h - 950 - 1482, 1626 = 2*h - 5*o. List the prime factors of h.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-six fifths of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -14236.525495 to the nearest ten.\nAnswer: -14240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -711, -930, -1149, -1368?\nAnswer: -1587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -23*h**2 + 9*h. Let w(m) = -111*m + 13. Give b(w(a)).\nAnswer: -283383*a**2 + 65379*a - 3770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 61, 175, 339, 553, 817?\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddvvvd. Give prob of sequence dv.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -a + 4*a - 9, -6 = -4*z + 5*a + 35 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -10, 5.6 in descending order.\nAnswer: 5.6, 3, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 8*f**2 + f + 9. Give w(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31778 is divided by 7934?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 42101?\nAnswer: 168404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87117 and 129291.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 66*x. Let f(d) = 2*d + 2. Let p(g) = -11*g - 9. Let c(t) = 9*f(t) + 2*p(t). Give b(c(i)).\nAnswer: -264*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 1:43 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -39328 divided by 5\nAnswer: -39328\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 18. Calculate the remainder when 10 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -94 + -1?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 22*n + 30. Let m be a(-12). Let w be ((-692)\/18)\/(-2) + (-12)\/m. What is the greatest common factor of w and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008853396 rounded to 7 dps?\nAnswer: 0.0008853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5448\/(-28602)*(-1 + 2 + (-5)\/2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -15*1*(-3 + 68\/24). Let i = 3 - r. What is the nearest to 8\/7 in i, -1\/2, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4305 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -14. Suppose z - y = -0*z. Suppose 2*m + 1 = -4*u + 39, 0 = 4*m - z. Solve w = -w + u, -4*v = 4*w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 - 12*s**2 + 13*s - 3. Let y be o(-7). Suppose -y*x + 5*x - m = 814, -3*x + 2445 = -4*m. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18887375 to the power of 1\/2, to the nearest integer?\nAnswer: 4346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*k + 1842 + 1769 = 1067 for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 90, 193, 338, 525, 754?\nAnswer: 1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -394 + 404.6. What is f rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15*10\/(-15)*-7 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c + 8*c + 44*c**2.\nAnswer: 44*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -6 - 2*g**3 + 2*g**3 + g**4 - 8 - 2*g**3. Find the third derivative of a(m) wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 9 = -3*s, -2*s + 295*w - 300*w + 3 = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/7 + 486*u**2\/7 + 489*u\/7.\nAnswer: -3*u*(u - 163)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 4:52 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x. Suppose -4*c + 5 = -n + 25, 2*n + 4*c = -8. Let h be w(n). What is the second derivative of 2*f**3 + 3 - h*f + 43*f - 3 wrt f?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2551 - 2546. Which is the biggest value? (a) 0.4 (b) -37.6 (c) p (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 7532750.\nAnswer: 1506550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = t. Suppose 0 = -t*d + d - 10. 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 c be (-4)\/1*(-16 - 0). Suppose 0 = 5*g - 3*v - c, -v + 3 = -2*v. Suppose u = -2*u + 33. What is the highest common divisor of g and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 5)*(-34)\/6. Let j be 2\/(-5) - i\/10. Let 3*k - j*k + 2*k**4 - 4*k**3 + 2*k**2 = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (6 + 616\/22).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1038*v + 196*v - 34014 = 74578 for v.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*f + 212*f - 19 = 4*r, f = 3*r + 19. Suppose 28 = 5*p - 22. Calculate the remainder when f is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 8}. Give prob of picking 2 h.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**3 - u**2. Let k be m(1). List the prime factors of (6 + 2 + -3)*k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 4*b + 32 = 0, 3 = -817*b + 818*b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 0. Let p = 0.4 + -2.4. Let i = 0 - p. Is l > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -150 - -213. Suppose -66 - 15 = -9*m. Calculate the greatest common factor of a and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -12*a + 7. Let m(c) = -6*c + 3. Let q(u) = -7*m(u) + 3*x(u). Let o(f) be the third derivative of -9*f**5\/20 - 247*f**2. Calculate o(q(h)).\nAnswer: -972*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = 194*q - 5. Let y(w) = -w. Let g(s) = -3*s. Give q*g(a) - 6*y(a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c - 1 + 2 + 16*c - 7*c - 2*c**2 to the form b + g*c**2 + i*c and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 5*b. Let m be 2 + 0 - (-30)\/(-6). Let o be s(m). Let t be -11 - o - 9\/(-1). Solve 3*k + 4*z = 2, -t*k - 4*z + 2 = z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 3*s - 2. Let a be x(6). Suppose -c + a = 3*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 542*m**2 + 9. Let g(z) = -4878*z**2 - 78. Give -52*b(a) - 6*g(a).\nAnswer: 1084*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2659*g**2 - 1458*g**2 + 878*g**2 to the form c*g + i*g**2 + u and give i.\nAnswer: -3239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 303 + -326 - (1 - 11)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -44*x + 7. Let d be y(5). Let l = d - -1069\/5. Put l, 0, -0.5 in descending order.\nAnswer: l, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*g**5 - 1740028*g**4*p**3 - 64*g**2*p**3 - 1113063*g*p**3 wrt g.\nAnswer: -600*g**2 - 41760672*g*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1331257 (base 8) to base 9.\nAnswer: -628214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358*n = -81*n - 2212019 - 281062. Round n to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 171.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124 + -119. Solve z*k + 3 = 13 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyyy when four letters picked without replacement from yyypyyyyyyyp.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/5, 27.5, -2\/53, 2 in increasing order.\nAnswer: -5, -1\/5, -2\/53, 2, 27.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923 = -249*n - 725 + 7272 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*w**3 - 61*w**3 + 43*w**3 - 478*w**3.\nAnswer: -726*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*o, 0 = -o + 6*o + 3*n + 5. Let b be o + -4 + 4 + 1. Are 18\/5 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/2*5\/3. Suppose -b*o = -8*o + 54. Let d = 24 + 10. Calculate the remainder when d is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17205150 and 44850.\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -313 + -125?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 822 + -792. Calculate the remainder when g is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -9*h**4\/5 - 208*h**3\/5 - 392*h**2\/5 - 256*h\/5 - 120. Factor a(c).\nAnswer: -4*(c + 16)*(3*c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000033206706 to seven dps.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-83)\/166*(-3446)\/1 + -6?\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**5\/80 + j**4\/8 - 4*j**2 - 59*j. Factor c(g).\nAnswer: -(g - 4)**2*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from gnn.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005893 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-88)\/(-42) - (0 - -2). Let r = -0.1 - -0.6. Put 3, k, r in decreasing order.\nAnswer: 3, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urucrurucr. Give prob of sequence rcr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 2.7 (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, 0.5, -28\/9, -4, -3\/4, 303?\nAnswer: 303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0, -1, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.25, 2\/3, 2.6991?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -42. Suppose 4*f = x + f + 8, 12 = o*f. Suppose 4*w = 3*t, -4*t = 5*w - 2*w + 25. Sort x, w, -1.\nAnswer: w, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6022148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3471*x**5 - 35378*x.\nAnswer: 69420*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 5. Suppose -9 = -w*u + 16. Solve -p = -f, u*f - 3 - 3 = 2*p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14949847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119.7 + -140.9. Let r = 261 + p. What is the closest to 1 in 1, r, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9730.\nAnswer: 2, 5, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**4 + 476*z**3 - 948*z**2 = 0.\nAnswer: 0, 2, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3355*w + 852*w - 793*w + (3 - 5 + 4)*(6*w - 3*w - 2*w) + 4 - w - 4.\nAnswer: -3295*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13529*j**2 + 119387*j**2 + 22233*j**2 - 2.\nAnswer: 128091*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/6)\/((-2)\/(-6)). Suppose 3*r + 6 = -5*h - b, -5*h = -r + 22. Let d = -2 + r. Solve -w + 3*u - 2 = 0, w - 2 = -d*w - u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*s = -6*s + 71*s + 22*s + 2632 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21.5 * 0.1\nAnswer: -2.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74176 and 97792.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 at most -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 51. Suppose -42 = -n*t + 2*c, -3*t = 2*c + 2*c - 28. What is the remainder when 30 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -444.3 - -444. Let q = 0.7 - 0.2. What is the nearest to p in -2\/5, q, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 7*o + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5\/3 - 976*s**4\/3 - 119072*s**3\/3.\nAnswer: -2*s**3*(s + 244)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18876, -37787, -56784, -75867, -95036?\n\"Answer: -43*u**2 - 18782*u - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47894213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, z: 7}. What is prob of picking 4 j?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*q + 4*q - 6*q - q**2 - q**3 - q**4 + 2*q to the form v + n*q**3 + r*q**2 + d*q**4 + c*q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1*sqrt(1700)*5 + sqrt(1700) + -3)*1 + 3)**2.\nAnswer: 360*sqrt(17) + 61209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10120210102 (base 3) to base 2.\nAnswer: -10001001110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -42*s**2 + 4*s + 4. Let q(w) = 14*w**2 - w - 1. Suppose 3*c + 4*a = -25, c = 2*c - 2*a + 5. Let z(f) = c*q(f) - 2*m(f). Calculate z(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6)\/((-51)\/(-68))*9\/(-33).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccgcgqsggggcs. Give prob of sequence gqg.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (11 + -15)) + 20 + -16\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**4 + 2 + 6*x**3 + 8*x**3 - 12*x**3 - 2*x**2 as z*x**4 + r*x**3 + g*x**2 + y*x + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 113411584 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4778281.\nAnswer: 149, 32069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -615 - -624. Sort p, 2\/5, -2\/17 in descending order.\nAnswer: p, 2\/5, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**18)\/y)\/(y\/((y*y*(y**21*y)\/y*y)\/y*y)))\/(y*y*y**15*y**(-1\/6)) assuming y is positive.\nAnswer: y**(-71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 56*u - 58*u - 5*x, -3*u + 5*x - 5 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5 - 1016*w**4 + 36330*w**3 + 118180*w**2 + 4088*w - 157584 = 0. Calculate w.\nAnswer: -2, 1, 42, 469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16207 and 10678.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.6, -1, 0.1, 55, 779?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60396912 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111648?\nAnswer: 2, 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -5 (c) -0.4 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 4362236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0582? (a) -2\/9 (b) 1\/6 (c) 4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49611594827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*((sqrt(1100) - (sqrt(1100) + sqrt(1100) + (sqrt(1100) - 5*(sqrt(1100) + 1)) + sqrt(1100))) + sqrt(1100)*-2*4 + sqrt(1100) + -1))**2 + 3.\nAnswer: -10500*sqrt(11) + 687944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 3670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 4*i**2 + 5*i - 12. Let t be n(5). Let u = 30 + t. What is the remainder when 32 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2025\/(-198) + 10 + 12\/264.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-2)\/32*(-1 + 8)). Let d(k) = -59*k - 291. Let n be d(-5). Let 0*u - 12\/7*u**n + t*u**2 + 0*u**3 + 4\/7*u**5 + 0 = 0. What is u?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1746643760 to the nearest integer?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*d**2 + 27*d + 43*d**3 - 25*d + 2 - 97*d**2 to the form t*d**2 + w*d**3 + v + s*d and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2278 and 1501403?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25 + 3da?\nAnswer: 3b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*k - 8 = -y, k = 3*y + 2. Suppose -2*v - 3*b + y = -7, v = 3*b - 1. Solve v*a - 2 = 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54218738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 14 - 22 + 8.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o - 5*o**2 + 1 + 0 + 3. Let i(p) be the first derivative of -2*p**3 - 5*p**2\/2 + 5*p + 144843. Determine -4*f(u) + 3*i(u).\nAnswer: 2*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.05814*0.13518\nAnswer: -0.0078593652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 20. Let x(y) = 5*y**3 - 7*y**2 + 6*y + 18. Let r(c) = 4*c**3 - 8*c**2 + 5*c + 18. Let g(w) = n*x(w) + 6*r(w). What is the tens digit of g(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*310.\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.055 + -0.555. What is the second smallest value in -1, -0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**6\/15 - 77*m**5\/20 + 5*m**4\/12 + m**2\/2 + 135*m. What is the third derivative of p(d) wrt d?\nAnswer: -48*d - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14164967 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 0*k**2 + 3*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t + 5*t**2 + t**3 + t**3 - 12 + 15. Let k(p) = 3*p**3 + 11*p**2 - 10*p + 5. Let w be 10 + (-7 + 6)\/(3\/15). Let y(u) = w*r(u) - 3*k(u). Give y(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3650.91 + -3634. Let u = i + -15.2. Round u to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 9:07 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -262*f - 12 - 298*f - 195*f + 717*f as p*f + r and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + q + 2. Let h be f(-3). Let r be (5*4\/10*-2)\/2. Let y be (-34)\/(-5) + r\/h. Solve 4*b = -i - 3, -4*i + 4*b - y = 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v. Let r = 287 - 260. Suppose -r = -14*c + 127. Let p be (-2)\/(-4) - 11\/(-2). Let b(o) = 15*o. Determine c*z(j) + p*b(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -6*a + 9*a. Suppose 0*s = -4*s + 16. Find the third derivative of 8*k**2 + 4*k**4 + 0*k**s - a*k**4 - k**5 wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -4.1. Let i = 0 - w. Let x = i - 4.9. Put x, 3, -0.3 in descending order.\nAnswer: 3, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10118186?\nAnswer: 2, 13, 389161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4.5, 5, -81, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 226831 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3795*k - 170. Let t be v(-27). Let m be (0 - 7) + 2 - t. Round m to the nearest 1000.\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1331000 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g**3 + 958*g**2 + 303*g + 1633. Determine y(160).\nAnswer: -1087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/18 + 3 - 64\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*t + 8. Let w(d) = 0 - 2 + 15*d**2 - t*d - 19*d**2 - d**3. Let u(o) = -o**3 - 7*o**2 - 5*o - 4. What is -3*u(l) + 5*w(l)?\nAnswer: -2*l**3 + l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/52215 and 13\/5251.\nAnswer: 4647135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.87 + 0.13. Let p = -22 + d. Let r be (-13)\/65 - 1\/45. Sort r, p, 1.2 in ascending order.\nAnswer: p, r, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*m**4 + 143*m**2 - 2*m?\nAnswer: -864*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -92103.7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -74160186 and -10.\nAnswer: -74160196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 99*n + 2. Let k be x(-1). Let i = 96 + k. Put i, -43, -2 in decreasing order.\nAnswer: i, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182629?\nAnswer: 181, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/2 of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 7 + 6 - 4)*(4*u**3 + 0*u**2 + 0*u**2) to s + v*u + b*u**3 + z*u**2 + w*u**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 w, and 1 o when three letters picked without replacement from whwhhxwohhxxpiwh?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 63\/28) + (-2 - -2). Is 0 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102660 divided by -12.\nAnswer: -8555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107 + 152.6. Let y = -46.1 + z. Put y, -0.07, 4\/3, 0.4 in increasing order.\nAnswer: y, -0.07, 0.4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from {y: 1, t: 6, g: 2, m: 1, h: 5, q: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 3*q - 2*q - 5*q - 7 to the form w + g*q and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 81 = y, 2*i = -0*i - 3*y + 54. Let o(h) = 2*h**3 - 4*h**2 - 24*h - 3. Let v be o(5). What is the highest common factor of v and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 4 + 0*c + 1\/3*c**3 - 2*c**2 + 1\/4*c**4. Let y be u(3). Calculate the greatest common factor of 48 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 174\/15 - -1*(-2)\/(-5). Is ((-1340)\/6)\/(((-32)\/z)\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*j - 192900 = 47*j. List the prime factors of j.\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/4, 0.2, -22, 0.3, -381\/7, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 260609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -16 - (5 + 7 + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 1 b when three letters picked without replacement from {w: 1, n: 1, b: 1, t: 3, c: 3, e: 6}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 570878353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2044257*o - 481311.\nAnswer: -2044257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118692142 and 2110?\nAnswer: 593460710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 3)*(142 - 222 - 247 - 83 - 373)*(-5*x + 2*x + 0*x) as d*x + q and give d.\nAnswer: -7047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2783461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/73 equal to -47841.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Convert 7547205 (base 9) to base 16.\nAnswer: 3dbffe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 12:21 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1219158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 0 + 98)*(0 + 2 + 0)*(0 - 4 + 3)*(-2*p + 4*p - p).\nAnswer: -120*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1222 - 692. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-37 - (-28 + 6)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 51, 0.05, 209, -4 in ascending order.\nAnswer: -4, -1, 0.05, 51, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 6*o**2 - o + 6. Give s(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-18) - 2\/(-9). Which is the third smallest value? (a) -3\/7 (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3109 and 823.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -60a - 1?\nAnswer: -60b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**4\/4 - 8*p**3\/3 + 4*p**2 - 10*p - 219. Determine o(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -163 - -164 - (1 + 9) - (1 - 45).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 8193 and 8192 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + x**2. Let t(l) = -129*l**3 + 86*l**2. Let z be 6838\/(-78) + (-5)\/(-3). Determine z*i(m) + t(m).\nAnswer: -43*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 238552372 or 238552371?\nAnswer: 238552371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1088 = 50*h + 38. Suppose 155 + 235 = -5*q + 5*j, -330 = 4*q + 2*j. What is the remainder when 0\/2 - 1 - q is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**4\/6 - 2*n**3\/3 - n**2 + 3*n. Factor d(f).\nAnswer: -2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 79. Let j be (2 - 6) + 4 + k\/6. Let d = j + -49\/12. Which is the nearest to 0? (a) 9 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61620 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 1. Let h be g(9). Let d be h\/((-40)\/(-15)) - -764. Let i = 8365\/11 - d. Sort i, -0.03, -1 in increasing order.\nAnswer: -1, i, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + -34*(-4)\/32. What is the smallest value in -3, 4, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 1)*(4 - -2). Let l(b) = -2*b + q*b - b + 0*b. Let c(z) be the first derivative of -z**2\/2 + 3. What is l(c(r))?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 67*u + 582. Give m(44).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 162*x - 2036. What is the hundreds digit of t(51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-5 - -1 - 6\/27)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002191 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 + 5*d - 7*d - 13 to b + u*d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-1))\/((-990)\/(-90)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 15*k**2 + 5 + 0 + (-k**2 - 3*k**2 + 2*k**2)*(0 - 1 + 2).\nAnswer: -17*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 3*r - 5. Suppose 0 = -n + 1, -3*f - 4*n = -2*f - 567. Let m = -567 + f. Calculate l(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 2:01 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + 0.2. Let y = 3.0252 - 0.0252. Which is the closest to 0? (a) s (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.245 - 0.145. Let q = 4 + -7. Let n = q - -2. Which is bigger: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6203.54000132 + 6203.66. Let h = m + -0.12. What is h rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:48 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -58, 2\/5?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w - 63. Let u be g(-13). Solve 0*l = 5*l + 5*x, -l - 4 = u*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/34 or -665.29?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 47.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, o: 1, q: 3, r: 5, u: 7, c: 2}. What is prob of picking 1 s, 1 u, and 1 q?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*u = 620 - 782 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:06 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*l**3 + 200*h**2*l - 4*h*l**3 - 72*h*l**2 wrt h.\nAnswer: 2*l**3 + 400*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 2*o + 0*o + 4*o - o - 4*o + (-1 + 0 - 1)*(-o + 2*o + o) - o + 2*o - 2*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 101 = 47. Is (-8)\/u + 109536\/432 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:41 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8918 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3220 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2435 + 48*z**2 + 15*z**2 - 2438)*(5*z**2 - 3*z**2 - z**2) in the form s*z**2 + i*z**4 + c*z + v + k*z**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l = 36*l - 325. Solve -2*d - 5*u + l = -10*u, 3*d + 3*u = 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 952\/442 + (-1)\/((-13)\/(-2)). Suppose 0*r - 472 = w*r. Round r to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/72 and -45\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155 and 1147300?\nAnswer: 35566300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (90826\/(-5))\/(1088\/680)*4*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40188896 divided by 124.\nAnswer: 324104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 3)*(-22)\/77?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = v + 4. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 4964630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 680 and 476.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/2397 and 73\/502848?\nAnswer: 401775552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74641626*o**3 - 102914214*o.\nAnswer: 447849756*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36 - (1 + -4))\/(-1). What is the greatest common divisor of j and 737?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and 37 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748003072 a multiple of 1051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109\/455 + -3\/65. Which is the nearest to -0.6? (a) 0.1 (b) k (c) 4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91873515?\nAnswer: 3, 5, 6124901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1547*n - 49642 - 1172 - 43553 = 0 for n.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1338\/23 + 9686\/115. Let z = 142 - j. Let y be 1 + -2 - 4\/(-8). Which is greater: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78918217 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139075002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(64))\/(2*sqrt(4)\/sqrt(2)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18319.\nAnswer: 7, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 5*x - 2*v - 16, 5*v = -2*x - 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, z: 2}. Give prob of picking 2 w and 2 z.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55097.\nAnswer: 7, 17, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + (117 - 36) + -112.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or -143\/6?\nAnswer: -143\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/2 of a micrometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-14) - (30 + -28))*70\/(-1030).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c - 26. Let m be i(-7). Suppose -4*q = -5*q + m*v + 8, -4 = 5*q + v. Solve 3*u + 2 = -2*a, q*a - a + 4 = 4*u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 248, 324, 448, 620, 840, 1108?\n\"Answer: 24*k**2 + 4*k + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1419 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.8 (b) -0.49 (c) 1 (d) 286 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1364723.\nAnswer: 67, 20369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 106, 212, 318, 424, 530, 636?\n\"Answer: 106*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**2 - 5*s + 2. Let n(q) = 382 - 8*q - 3*q - 192 + 9*q**2 - 185. Give 5*d(o) - 2*n(o).\nAnswer: 2*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1447*n**5 + 8*n**4 + 2*n**2 + 22717*n - 7?\nAnswer: 28940*n**3 + 96*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, o: 3, p: 4}. Give prob of picking 3 o.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -163b + 23a9a?\nAnswer: 2245b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 34\/5 of a kilogram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + 13?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -6, 4, -41, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86914 - 86914.06. Let f = 0.11 + 3.89. What is the second smallest value in 1, 2\/5, t, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/4*o**2 + 0 + o + 1\/4*o**3 = 0. Calculate o.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/(-6) + 8\/12. What is the highest common factor of n and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (164\/(-20) - -8)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2 + 44*i - 44. Let n(s) = s**2 - 27*s + 125. Let h be n(21). Let g(r) = -r**2 - r. Let b(z) = h*m(z) - 2*g(z). Factor b(q).\nAnswer: -2*(q - 1)*(q + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 4 - 1 - -20 - (-5 - -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 10*n - 79. Let x(c) = -4*c + 42. What is -14*x(t) - 6*z(t)?\nAnswer: -4*t - 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181883 is divided by 199?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-5) + (-36)\/(-780). Let g = -1 - -1.2. Let z = g + 0.3. What is the smallest value in a, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 4 - 4)*(10 + 10 - 6) - 2 + 0 + 0)*(-278*q**2 - 119*q**3 - 53*q**3 + 276*q**2) to the form w + h*q**3 + g*q + t*q**2 and give h.\nAnswer: 9976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 30 = -5*u, -17 = -5*o - u + 6. Suppose 0 = -3*d + g + o, 0*g = -d - g + 3. What is the units digit of 4 + 7 - (d + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23186 divided by -233\nAnswer: -23186\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, r: 1, t: 1, k: 4, j: 1}. What is prob of picking 1 a and 3 k?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 682848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 26, 36 in decreasing order.\nAnswer: 36, 26, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2556 greater than or equal to -2555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/63712 and 15\/8.\nAnswer: 63712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 400. Let w be g(0). Suppose 0 = y - 3*v - 246, -5*v - 153 = -y + 99. Let p = w - y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1010, 1\/3, -3, -61?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (-5 - -25) + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {a: 1, i: 1, w: 1, j: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -80 * 239\nAnswer: -19120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*v - 27995 = 9991. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48383064 a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/3)\/((-4)\/6). Let q be (-8)\/40 + 3\/h. Factor -2\/5*c + 2\/5*c**3 - q + 2\/5*c**2.\nAnswer: 2*(c - 1)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 10 = 8*c. Suppose 0 = c*g - 66 + 8. What is the greatest common divisor of 29 and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 13.\nAnswer: 27\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 2. Let s(q) = -2 - q**3 - 2*q**3 + 9*q**2 + 6 + 2*q**3. Let f be s(9). Calculate the remainder when d(f) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 540*o - 15. Let k be m(3). Suppose -k = -5*b + 1085. Suppose 0 = 5*f - 4*t - b, 5*f = 3*t - 6*t + 524. List the prime factors of f.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - (17 - 28) - (-3 + 4)) + -2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2302035 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 94?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/70 - 4\/(-14). Let v = 8776\/19 - 462. What is the second biggest value in 0.4, v, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 176*n = 34*n - 663, -220 = -12*c - 2*n for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -4 (c) 0.1 (d) 15\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -555?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**10*g**10\/g*(g\/(g\/(g\/(g\/g**(-4\/5)))))\/g*g**2 assuming g is positive.\nAnswer: g**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 j when three letters picked without replacement from jkajckkknk.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10682 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - 3*o + 3*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35570 - 35568.97127. What is t rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 + 479*k**2\/2 - 1066925*k\/4 - 1068837\/2.\nAnswer: (k - 661)*(k + 2)*(k + 1617)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10 - 16 + 6 + 7*d. Let n(p) = 8*p. Give n(v(l)).\nAnswer: 56*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - i**2 + 14*i. Let f be x(-5). Let u(y) = -3*y + 102. Let z be u(f). Calculate the highest common factor of 60 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37, -109, -223, -379?\n\"Answer: -21*w**2 - 9*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 78.81316m?\nAnswer: 78813160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18136*t - 18131*t = 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120899\/23 - 5255. What is the common denominator of -34\/7 and k?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from {l: 1, d: 10, w: 7, h: 1, s: 1}?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -267, -12, 6, -2, -56 in descending order.\nAnswer: 6, -2, -12, -56, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b*p + 52640596*b - 193038562*p with respect to b.\nAnswer: 4*p + 52640596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8*7\/(-14) - (0 + -3382) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*u - 46. Let k = u - -38. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - 3*f**5 + f**3 + (-2*f**4 - 4*f**4 + 4*f**4)*(2*f + 2*f - 3*f) + 3*f**5 - 6*f**5 + 4*f**5 - 6*f**5 + 10*f**5 - f**5.\nAnswer: -f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + sqrt(40)\/sqrt(5)*-4 - (-1 + sqrt(8) + 5))*-1)**2*-3*6.\nAnswer: -2592 - 1152*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15742421 is divided by 334.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 + 45 - i + 0*i.\nAnswer: -i - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 4598 = 188*t - 85*t - 852 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -332600 rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/105 + -23\/105. Which is the third smallest value? (a) -7 (b) 5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 12:38 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - u**2 - 5*u - 5. List the prime factors of i(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*a**3*b**5 + 99*a**3*b - a**3 - 2*a*b**5 wrt b.\nAnswer: -400*a**3*b**3 - 40*a*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00045098 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(63)*-3.\nAnswer: -54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4 + 33 + 13 - 7 + 5*p. Let s be f(-8). Solve -r - v + 0 = -s, r - v = -3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4683, 45, -4593?\n\"Answer: -4638*s + 9321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1, 2\/41?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132380809 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4697, -9388, -14079, -18770, -23461?\n\"Answer: -4691*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3624 - 14?\nAnswer: -3638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36.62 + 35.13. What is the nearest to -2\/5 in 0, k, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5730874 centuries?\nAnswer: 5.730874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + -1.4. Let i = -335 - -305. Let z = 32 + i. What is the second smallest value in -0.2, -3, m, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.91543 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10326 * 0.3\nAnswer: -3097.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-2) - (-4 + 7). Let a be 15\/x - 1\/(-4). Put -0.1, 0.4, a, -5 in ascending order.\nAnswer: -5, -0.1, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -9*v + 5*o - 21986, 3*v - 3*o - 33021 = 0. Is v a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 + 5*x**2 - 2*x - 12. Let l(u) = 6*u**3 + 16*u**2 - 6*u - 40. Let s(d) = -7*f(d) + 2*l(d). What is s(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + -24.6. Let m = -28 - k. Sort -4, m, 5, -1 in descending order.\nAnswer: 5, -1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2915*o**3 - 3763*o**2 + 3763*o**2)*(5*o**2 - 3*o**2 + 2*o**2).\nAnswer: 11660*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 + -3.03. Let o = 18 - 6. Let x = -158\/13 + o. Which is the third smallest value? (a) x (b) d (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420376 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*z**2 + 0*z + 0 + 1\/3*z**4 + 0*z**3.\nAnswer: z**2*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/266 and -2\/13.\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*t + 0*t - 13 = 0, 33 = 5*i + 2*t. Let g = 8 - i. Suppose -g*z = -z. Solve z = 5*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 19*h**2 + 47*h - 13. Let i be y(-16). Solve 0 = 5*r + g + 3*g, -i*g = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*z**2 + 5*z - 1149.\nAnswer: 72*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 2:29 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - -3. What is the least common multiple of 14 and z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 10:54 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by ((-4)\/(-6))\/(10\/705)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -803226, -1, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36396 by 4.\nAnswer: -9099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14193, -28387, -42593, -56823, -71089?\nAnswer: -85403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -6\/163, -5, -2\/13, 4, -2 in decreasing order.\nAnswer: 19, 4, -6\/163, -2\/13, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = 5*t, -3*k = 2*t - 5*t. Let n(r) be the first derivative of r**3 + r**2 + r - 16. Calculate the remainder when n(t) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29332 is divided by 1370.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74150 = -34*f + 75578 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 15 = 3. Solve -4*k = -s*b - 11 - 5, 0 = 3*k - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -20*p**3 + 8. Let k(m) = -4*m**3 + 6*m. Let j(q) = -13*q**3 + 16*q + 1. Let v(x) = -3*j(x) + 8*k(x). Calculate 8*v(r) + 3*w(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199599?\nAnswer: 3, 66533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, -6.\nAnswer: -6, -2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -159*(-2 + (-230)\/(-105)). Which is smaller: k or -30?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 3*s**2 - 20*s + 11. Is y(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1106131 (base 7) to base 15\nAnswer: -2a70a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4000937.\nAnswer: 4000937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 6*c - 6*c - 3 - c**2 + 3 - 1 + 1 - 2*c**2 + c**2 + c**2 + 0*c**2 + (2*c - 4*c + 0*c)*(c + 2*c - c))*(-2*c - 3 + 3).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 14.538, -11\/18, -5\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-777*s**2 - 1 - 5*s - 6 + 778*s**2)*(3 + 0 - 1)*(3 - 4*s - 3).\nAnswer: -8*s**3 + 40*s**2 + 56*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 8412598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9123 and 7401?\nAnswer: 22506441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2695693 to the nearest integer?\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 61, -2, 2, -3 in ascending order.\nAnswer: -3, -2, 2, 4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 762437 or 762436?\nAnswer: 762437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 2*h - 1\/2*h**2 + 0 + 1\/3*h**3. Determine q(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43090\/9 - 4783. Calculate the common denominator of d and -17\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5*z + 40, -4*y = -7*y - 3*z + 24. Let l(c) = 7 + 24*c - 13*c - y*c. Does 12 divide l(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Suppose -b + 5 = -5*k, 3*b = -2*k - x*k + 15. Let f = 4 - 3.6. What is the third biggest value in 4, f, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6600 - -455347\/69. What is the common denominator of 17\/21 and s?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*c + c - c + c + (-4*c + 6*c - 4*c)*(-1 - 2 + 4).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by -24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99 + -94. Suppose -12 = k - 2*y, -2*y = -0*k + 2*k. Sort s, 3, k in increasing order.\nAnswer: k, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479663963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 24. Suppose g = -7*j + 6*j - 2. Let y(d) = -d**3 - d - 1. Let v(h) = 3*h**3 - 3*h**2 + 6*h + 7. Let n(b) = v(b) + 5*y(b). Calculate n(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -21*t**3 + 137031*t**2 + 234984*t - 78324 = 0.\nAnswer: -2, 2\/7, 6527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*t - 81 = -3*t, -5*t = -w + 7. Let h be (2\/(-3))\/(w\/18 - 1). Solve -2*z = -3*c - 2*c + 17, -2*z - h = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b + 20. Let a be 16*(24 + 2418\/(-104)). Give t(a).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/((r\/((r*r*r**(-9\/4))\/r*r))\/r*r)*r))\/(r**34*r))**(-12))**(-36) assuming r is positive.\nAnswer: r**(-15012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + (10 - (-1 + 2)) - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6495 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**2 - 17*x - 2. Let f(y) = -9*y**2 - 33*y - 3. Let s(t) = -6*f(t) + 11*l(t). Let d be (-78)\/(-8) + -10*11\/(-440). What is s(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20948770?\nAnswer: 2, 5, 557, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 114 - -a?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 109*p - 2. Let r(b) = -23*b**2 + b. Give f(r(z)).\nAnswer: -2507*z**2 + 109*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + s - 2. Let t = 3 + s. Suppose 0 = -3*i - i + 12. Solve i*p = -2*p + t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 7*o - 46. Let j be c(-5). Suppose 5*p - 266 = -j*p. Calculate the remainder when 51 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcca when four letters picked without replacement from fcfcjyaabfffaaycfcff.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(3)*1*-3*1 - ((sqrt(243) - -2*(1 + sqrt(243))) + sqrt(243)*2*2))**2*1.\nAnswer: 192*sqrt(3) + 6916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2))**(-41)\/(h*h\/(h\/(h**(-1)\/h))*h)**(19\/5) assuming h is positive.\nAnswer: h**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**4 + 3*z**4 - 5*z**4)*(2*z - 6*z + 2*z + (-3*z + 0*z + z)*(2 + 1 - 2)).\nAnswer: -4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 3 + -7)*(-2)\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/10)\/((-32)\/80). Suppose -o*h - 17 - 5 = -q, 0 = -2*q - 2*h + 94. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -153 - 267. Let b = m - 63. Is 1407 - (2 + b - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**3 + 5*c**2 + 2*c + 21. Let z(o) = 15*o**3 + 16*o**2 + 7*o + 62. What is -7*f(y) + 2*z(y)?\nAnswer: 2*y**3 - 3*y**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 266654161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41428*k**2 + 2734250*k\/3 - 44\/3.\nAnswer: -2*(k - 22)*(62142*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 9, 0, -0.1, -5, 4\/5, -11 in increasing order.\nAnswer: -11, -5, -0.1, 0, 1\/5, 4\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6151007 micrometers to centimeters.\nAnswer: 0.00006151007","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = d - 16. Suppose -5*h + d = 2*y, -y + 7 = -3*h + 19. Differentiate 3*w**3 - 5 + y - w**3 with respect to w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 1. Let v(x) = 5*x**2 - 3*x - 3. Let m be v(-1). Give y(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133995 is divided by 66.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173, 52571, -21 in decreasing order.\nAnswer: 52571, -21, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 118 and 1.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 22 = -3*y + 27, 202*q = 16*y + 207*q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 4:25 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + z - 5 = 0, 2*p - p = -5*z - 3. Suppose -4*t = p*y - 10 - 86, -106 = -4*t + 3*y. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 37*i**2 - 66*i + 55. Does 87 divide j(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 2.3?\nAnswer: 11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 69 + 48 = 0. Suppose 4*o = 2*l + k - 5, o = -3. What is the nearest to 0.09 in l, 0.2, -3, 12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 316 - 214. Let f = t - -104. Let d = 303 - f. Does 32 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from kkkefiemimmmemff.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-3 + 0) - 3. Let c(t) be the first derivative of 0*t**2 - g + t**3 - t + 1\/2*t**4. Solve c(l) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 12 - (0 + -37) - (48 + (-38 - 12))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181392 = -74*b + 54890. What are the prime factors of b?\nAnswer: 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*p - 12*p - 3*p - 6*p + 2*p - 8*p - 2*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - 4*y**2 - 4*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.29 - -4.11. Let c = 2.4 - h. What is the closest to c in 4, 1\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 17. Let b be g(0). Suppose -d + 15 = 5*l, -5*l - 2 - 33 = -4*d. Let a = b - d. Solve 5*w - 8 - a = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9544359 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssnnsnsnsnnsnnssnsn. What is prob of picking 2 s and 1 n?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 470538 divided by -235269?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - -3.6. Let u = v + -2.9999999. Round u to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**3*q**2 - 5962682*f**3 + 2091102*f*q**2 wrt q.\nAnswer: -4*f**3*q + 4182204*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -323726*u**3 + 6*u**2 - 7453670 wrt u?\nAnswer: -971178*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**4 - 4*z**4 + 2*z**4)*(-13285*z + 166 + 171 - 502 + 165 - 902*z).\nAnswer: -70935*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 55) + -29 + (-14 + 15 - 2)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/20*-4*((-75735)\/(-1134))\/(-187).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = 2. Suppose -2*d = -3*s + 2, -2*s + y*s - 2*d = 6. Solve s*j + 1 = 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 733 - 731. Suppose -14 + 3 = -a*i + 5*p, -16 = -5*i + p. Let x be (3\/15)\/((-6)\/(-5)). What is the second biggest value in i, 2, x, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z + 5. Let p be m(0). Solve 0 = p*r - 3*l - 22, 0 = -2*r + r - 5*l + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 35 = -65. Let i be ((-8)\/z)\/((-957)\/(-955) - 1). Are -381 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 7077*d + 28126*d - 2*d**2 - 7065*d - 6921*d + 4*d**2 - 7063*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(343) - (sqrt(343) + 4 + (0 + sqrt(343) - sqrt(343))))*1)**2)*-4.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6559 - -6562.511. Let o = 0.511 - y. Let v be (-1)\/12 + 4\/16. What is the nearest to 0.05 in v, o, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-6)\/b**(-4\/3))\/(b**(-1\/4))**(2\/25))**(17\/4) assuming b is positive.\nAnswer: b**(-11849\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 152 = -46. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/10)\/((-639)\/720). Are o and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -471 divided by -6?\nAnswer: 157\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 + 18 - (-59 - 1).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -12*m**2 + m - 5. Let x(l) = -l**2 - 1. Let i = 6 + -10. Let a(t) = -6*t - 29. Let z be a(-5). Let s(v) = i*x(v) + z*n(v). Calculate s(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4.061. Let c = 0.261 + z. Let f = 2 + -1. What is the closest to c in 3, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -6. Let h(o) = w*o + o + 1 - 2*o. Let p be h(3). Solve -20 = p*r, 5*y - 6*r = -r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/(v**(-21)\/v)*v*v)**(-19\/3))**(3\/10))**(-6) assuming v is positive.\nAnswer: v**(1539\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 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 is -3 times 6.5677?\nAnswer: -19.7031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1687896?\nAnswer: 1687896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 + 1 - y + 4*y**3 - 2*y**3 - 3 as q*y**3 + l*y**2 + z + v*y and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Rearrange a**2 + 389*a - 775*a + 388*a to the form f + p*a + j*a**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 2a22f?\nAnswer: -2a22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 7 = d + 29, -5*d + 50 = -3*h. Let x = -12 - h. Sort 1, x, -5 in decreasing order.\nAnswer: 1, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*v**2 + 358*v**2 + 321*v**2 - 1000*v**2.\nAnswer: 86*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13645155 divided by 7485?\nAnswer: -1823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1.23, 715, -2 in increasing order.\nAnswer: -4, -2, -1.23, 715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 5:04 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-123 + 633*a + 112*a - 122 + 245)*(13*a**2 - 22*a**2 + 15*a**2).\nAnswer: 4470*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 + 55280*o\/3 + 763969600\/3.\nAnswer: (o + 27640)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -67 + 31*n**2 + 93 + 36*n - n**3 - 63. Let y be d(32). Calculate the highest common factor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*p**3 - 2*p**2 - 325371*p + 4328713?\nAnswer: 9*p**2 - 4*p - 325371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-10))\/((-2)\/8). Let l(a) = 0*a**s + a**2 - 1 + 7*a + a. Let z be l(-8). Is 2\/5 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vekwivvqeeqi. Give prob of picking 2 v.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48628471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 16) in base 13?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 o, and 1 x when four letters picked without replacement from {o: 1, p: 11, x: 2}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 2, g: 5, r: 10, i: 2}. Give prob of picking 1 i and 1 q.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/1 - 18\/(-2). Suppose 100 - 10 = 5*b. Calculate the least common multiple of b and -3*(-22)\/k - -1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294298*v + 294298*v - 1 + 30*v**2.\nAnswer: 30*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 1734*p - 1734*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 96*t - 1198. Calculate l(-15).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 229 and 4?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, q: 10}. What is prob of sequence qkk?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0. Let s(b) = -b**3. Let u(j) = 2*j**2 + 1. Let h = 2 + 0. Give h*s(d) + l*u(d).\nAnswer: -2*d**3 - 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-6)\/5)*-35. Let z be (-67)\/7 - (-18)\/l. Let b = z - -17. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -109*p**2 - p. Let k(t) = -t. Give h(k(f)).\nAnswer: -109*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -454 or -481?\nAnswer: -454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24697889 is divided by 210.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjx when three letters picked without replacement from {j: 1, h: 2, z: 1, x: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 168*b**2 + 980*b.\nAnswer: 4*b*(b + 7)*(b + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 6. Suppose 3*j = f*j - 32. Is (-1)\/4 - (-500)\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**26*t**22)\/(t**(-2\/5)*t)**23 assuming t is positive.\nAnswer: t**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(10\/(6\/3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2+641276.584\nAnswer: 641274.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3201142060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -33*z + 330. Let f be y(10). Let g(x) be the third derivative of -1\/24*x**4 - 4*x**2 + 0 + f*x**3 + 0*x. Let k(i) = -i**2. Determine k(g(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - 8*a - 2. Let t be i(9). Suppose 0 = -2*h - 5*f - t, h + 174 - 62 = 3*f. Let o = h + 164. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14664 (base 11) to base 12.\nAnswer: -10021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 109*m**2 + 21037*m + 388. Calculate y(-193).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.84 take away -2164.77?\nAnswer: 2185.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -20. Suppose -3*p = -2*q - 9, 5*q + k = 5*p - 0*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 7. Suppose -5*r - 15 = -r + 3*b, -5*r + 3*b - 39 = 0. Let u be d(r). Does 16 divide 45 + (0 - u)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 35712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 10*x**2 + 1934177 - 1934177. Let b(n) be the second derivative of 0 - 1\/3*n**3 + 0*n**2 + 3*n. Calculate b(f(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 41. Let z(b) = b**3 + 9*b**2 + 11*b + 30. Let h be z(-8). Calculate p(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ieeh when four letters picked without replacement from hiswishiseeeihi?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 f when three letters picked without replacement from {h: 5, d: 5, f: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -4\/3, -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/40673984 and 29\/1317376?\nAnswer: 325391872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 25*h + 93. Let v be i(-3). Let p(w) = w**3 - 17*w**2 - 18*w + 5. Let z be p(v). Solve -z*j - 3 = 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, p: 4, e: 3, t: 4, m: 3}. What is prob of picking 2 e and 1 t?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-339 - -313) + 14*(-2 - -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -2*t**3\/3 - t. Let h(i) = 428*i**2 - 435*i**2 + 35 - 35. Give r(h(z)).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -13*w - w - 30, 16*w - 13*w = 3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 708, 392, 76, -240, -556?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 681, 2760, 6225, 11076, 17313, 24936?\n\"Answer: 693*k**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**6\/360 + 19*n**5\/120 - 11*n**4\/24 - n**3\/6 + n**2. Let p(z) be the first derivative of y(z). Is p(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -672926, -672923, -672930, -672953, -672998, -673071, -673178, -673325?\n\"Answer: -i**3 + i**2 + 7*i - 672933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 16 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/23 - (-22 + (-6792)\/(-184) + 12).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1314 and 696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -591*o**4 + 1986*o + 1804. Differentiate c(n) wrt n.\nAnswer: -7092*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -2*v**3 - 9*v**2 + 2797*v. What is r(0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 223854397 or 223854396?\nAnswer: 223854396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -9 - (0 + -5 + 10 + 12)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 times -6713.35?\nAnswer: -1846171.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h + 7*h + 3*h)*(10 - 14 + 22)*(2 - 2 - 2*h) to the form c*h + t*h**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 14*b**2 + 16*b + 16. Let k be f(-15). Let j be k - 4\/8*-2. Which is smaller: 4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23257688 + -5?\nAnswer: -23257704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, -2, 4\/19 in increasing order.\nAnswer: -2, 4\/19, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -0.07 (c) 0.19 (d) 2\/5 (e) -4 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 8. Let z be (-3)\/6 + (-45)\/6. Let a(d) = 5*d + 36. Let g be a(z). Determine x(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - (-128)\/((-2579200)\/765570)?\nAnswer: 1\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391 + 366 = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309204*t**2 + 3*t + 309193*t**2 - 618383*t**2 - 3*t.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, -5, -37, 240 in descending order.\nAnswer: 240, -2, -5, -11, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 not equal to 473.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, -3, 4, -4 in descending order.\nAnswer: 4, 3, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 383022537 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5 - 6 - y + 2*y**2 - y**3 - 2*y**2 - 4*y**2. Determine n(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1307173383126993 + 0.2\nAnswer: 1307173383126993.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12819 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 10*m - 20. Let z = 75 - 51. Suppose -3*d + z = -d. Let a be p(d). Solve x + a*t - 25 = -1, -28 = -2*x - 4*t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61134 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 - 18. Let o = -362 + 235. Let c = -83 - o. What is the highest common factor of c and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**5 - x**4 + x**2 + 1. Let z(w) = 127*w**5 + 6*w**4 - 325*w**2 - 2*w - 4. Let t(l) = -4*c(l) - z(l). What is the third derivative of t(v) wrt v?\nAnswer: -7860*v**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -375\/7 + 53. Let f = 1.02 - 0.02. What is the nearest to f in x, 3\/7, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 - 3) - (1 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*u + 23, -31*u + 26*u = -48*j + 2223 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 363746616 and 1?\nAnswer: 363746616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -53?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1390*c - 1. Let y(i) = i. Calculate x(y(l)).\nAnswer: 1390*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoahhaohahhaa. Give prob of picking 1 o and 1 a.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7421 + 7947. What is the biggest value in g, -0.3, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 427752 and 9594?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718079?\nAnswer: 523, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m = -32. Let t = -2 + 6. List the prime factors of (-18)\/t*m\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + z - 3*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 81 = 2825. Let d = r - -1171. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 42, 135, 296, 531, 846, 1247, 1740, 2331?\n\"Answer: l**3 + 28*l**2 + 2*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387912 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011101100001011010000 (base 2) in base 6?\nAnswer: 532310424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5a - -e1b8?\nAnswer: e15e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 2461975408?\nAnswer: 7385926224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 56162320111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1085 - 629. Suppose 102 = -6*d + m. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 60) + -2 - (-35 - -21).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (236\/10)\/(-2) + 252\/140.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 140491372.\nAnswer: 421474116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -17*p**2. Let a be (-392)\/(-182) - (6 + 532\/(-91)). Let w(v) be the second derivative of 0*v**a - 16*v + 0 - 1\/6*v**3. Calculate c(w(f)).\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + -4.2. Let y = -1.9 + 0.9. Which is the third biggest value? (a) 0.4 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1084*15\/(-120))\/(1\/(-2)). Suppose 3*m - 18 = -3*d, -2*d - 2 = -3*m + 6. Suppose -y = -3*w - d*v, 0 = -2*v - 4 + 8. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 287 + -409. Let y = -13698.8420751 - -13820.84207. Let z = y + o. What is z rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 20. Which is smaller: 1\/31 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*x - 26, 0*v + v - 2*x - 15 = 0. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - 1 - (-12 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1.7, -205.\nAnswer: -205, -1\/4, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 45*n**3 + 3*n**2 + 76*n - 149. What is s(2)?\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 2*s + 29. Let a be y(-7). Let i be (3 - (-3)\/(-2))*a\/(-9). Is (4\/(-8)*-586)\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.10317*-0.5.\nAnswer: -0.051585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65559646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(27) + (sqrt(48) - (sqrt(48) + sqrt(432))) - (sqrt(75) - ((sqrt(75) + 2*sqrt(75))**2 + -4)).\nAnswer: -14*sqrt(3) + 671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/572532 and 111\/28.\nAnswer: 4007724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-297)\/(-189))\/((-1)\/(-7)). Suppose -3*v = h*v - 28. Solve 0 = -2*g + x - 6, -2 = -v*x + 3*x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25535576 to the nearest integer?\nAnswer: 5053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 j when three letters picked without replacement from bojsljsgsggssj?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 16 - 32. Let n be -1 + 20\/(9 - 4). Solve -p*i + 5*i - 10 = 5*v, 0 = v - n*i + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16ba2 - -3?\nAnswer: -16b9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, 80, -5 in descending order.\nAnswer: 80, 5, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 757, 1680, 2737, 3928, 5253, 6712, 8305?\nAnswer: 10032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**4 - 45297*l**3 + 4*l**2 + 1315*l + 131 wrt l?\nAnswer: 12*l**2 - 271782*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 163210?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/624505 and 19\/2450.\nAnswer: 6245050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -16*a**3 - 18*a**2 - 28*a - 14. Let n(g) = 9*g**3 + 12*g**2 + 20*g + 10. Give -7*m(b) - 10*n(b).\nAnswer: 22*b**3 + 6*b**2 - 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 2*k + 3*k - 2*k - k + 1303*k**2.\nAnswer: 1303*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = w + 18, -25*w + f - 11 = -28*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q - 30*q = -2*y + 104724, -52363 = -y + 3*q. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 9)\/(-63)*-14. Solve -l*n - 2*u + 2 = 0, 2*n + 6 - 12 = 2*u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) -3\/4 (c) 2\/7 (d) 4 (e) -50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3 = 5*l - 10, -2*x - 7 = -l. Suppose -2 = -y + 1. Suppose -4*g + 0*a + 13 = -a, 0 = -y*g + 4*a. Solve g = -l*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5591243767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 9*q**2 - 10521 + 10521.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178471*h**3 + 60001*h.\nAnswer: 1070826*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 550942 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6008, -16, -9 in ascending order.\nAnswer: -6008, -16, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.95 - -4.209. Let q = u - 0.26. Let v = q - -0.461. Round v to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015886 to 5 dps.\nAnswer: -0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/326076 and -97\/108692.\nAnswer: 326076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3801 - 45587\/12. Suppose 3*r = o, 3*o - 4 = -31*r + 36*r. Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39493?\nAnswer: 73, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 8:23 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 327286938?\nAnswer: 98186081.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 8250 to the nearest one hundred.\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 81331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4604, 18404, 41386, 73544, 114872, 165364?\n\"Answer: -s**3 + 4597*s**2 + 16*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3093 is divided by 1028.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Let o(z) = -2*z**3 + 5*z + 1. Let q(u) = -u - 2. Let t be q(0). Calculate the remainder when o(t) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmpy when four letters picked without replacement from {p: 1, f: 1, d: 1, m: 1, y: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.61 rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-352)\/66)\/((-3)\/4*(-6)\/(-27)). Solve -q*c + 44*c = -48 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 1, -1, 23, -59, -49 in increasing order.\nAnswer: -59, -49, -3, -1, 1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*t - 38*t + 252 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8629 + 43146\/5. Factor a*x**2 - 1\/5*x + 0.\nAnswer: x*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3 = -4*h. Solve -5*j + 12 = -h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3787977, -15151891, -34091749, -60607551, -94699297?\nAnswer: -136366987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6847656, -13695420, -20543182, -27390942, -34238700, -41086456, -47934210?\n\"Answer: a**2 - 6847767*a + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1219 + 1218.7. Sort 0.11, q, -1 in descending order.\nAnswer: 0.11, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/4 (b) -10.9 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4657433?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - -0.5. Let u = f + -0.5. Let o = 686 - 685.8. Which is the biggest value? (a) o (b) u (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.98448mm to micrometers.\nAnswer: 61984.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*m**3 + 9944*m + 9937*m - 29959*m + 10078*m.\nAnswer: 297*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/31? (a) 5 (b) -2\/21 (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 7:36 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(4 + ((-84)\/(-154) - (-83)\/(-11))). Solve -t*u = -11*u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, u: 3, z: 10, m: 1, h: 2, g: 1}. What is prob of picking 1 h, 1 z, and 1 g?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 102491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/(-16) + 0 + 4 - 1. Which is the third smallest value? (a) 4 (b) -2 (c) 2\/7 (d) j (e) -341\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 25 = -3*b - 29, 2*a + b = 30. Suppose -40453 = -23*x + a*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/372408 and -37\/132?\nAnswer: 4096488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5745022260 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 0 + 0*f + 2\/3*f**5 + 4\/3*f**2 + 10\/3*f**3 + 8\/3*f**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -280161.9185 - -280134.71849883. Let f = -27.2 - o. Round f to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2411*z**6 - 1842*z**2 wrt z.\nAnswer: 289320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11341, 17440, 23541, 29644, 35749, 41856, 47965?\n\"Answer: c**2 + 6096*c + 5244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 4346342.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -103*f**3 + 60*f**2 - 13. Let k(l) = -51*l**3 + 30*l**2 - 6. Let n(w) = -13*k(w) + 6*p(w). Find the third derivative of n(h) wrt h.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17259?\nAnswer: 3, 11, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/9)\/(6\/(-18)))\/(-2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tctct. Give prob of sequence ttc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 6*u**2 - 2*u - 1. Suppose -25*h = -18*h - 14. Let v be (-4 + 1)*2\/2*h. What is s(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012012122 + -12?\nAnswer: 1012012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 414212459*t**4 + 66005*t**2 + 646?\nAnswer: 9941099016*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i**2 - 14*i - 12. Let a be x(-2). Solve 0 = -102*r + 113*r + a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 31 + (-15 - (-1 + -27)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1312471247 to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(108))\/(sqrt(4) - sqrt(484)*-2) + -3*sqrt(2) + 0 + 1*(2 + sqrt(2)).\nAnswer: -137*sqrt(2)\/69 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**2*r - 982182*o**2 - o - 218093*r wrt o?\nAnswer: 4*r - 1964364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20984 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1000 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -4*k - 2892. Let p = k - -315. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 160*p**2 + 452*p - 296.\nAnswer: 4*(p - 37)*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/110 and -66\/65?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/251 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/1*122*10\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2848 divided by 714?\nAnswer: 1424\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**5 + 33*w**3 - 2*w**2 - 390*w.\nAnswer: -180*w**2 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -71901, 0.2, -77?\nAnswer: -71901","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333, 1249, 2755, 4857, 7561, 10873?\nAnswer: 14799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 18 = -2*y, 1039*h - 1045*h - y + 36 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, i: 2, c: 1, k: 5, w: 7}. Give prob of sequence wki.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 10*o + 1. Let b be r(6). Suppose -3*p - b = -4. Let h be 1 + 1\/(4 + p). What is the greatest common divisor of 4 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 > 2320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 48 = -q. Suppose 0*s + q = 3*s. Solve 5*j - 4*h = -s, 3*h + 23 = -3*j - 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762205983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150061 is divided by 332?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1571 - 3*a + 22*a + 15*a + 1581 - 3*a in the form o + y*a and give y.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + a - 1. Let z(g) = -3*g**2 - 2*g - 7. Let p(d) = 2*f(d) + z(d). Let w(l) be the first derivative of p(l). Let s(v) = 16*v. Give w(s(b)).\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1358102?\nAnswer: 5\/1358102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11656*o**5 - 26*o**2 - o + 3 wrt o?\nAnswer: 699360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -34.331*-162.9\nAnswer: 5592.5199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 288 + -293. Which is the nearest to -1\/4? (a) -1\/12 (b) v (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -313 - -436. Let t = -122 + f. Which is the biggest value? (a) t (b) 0 (c) 3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6452032428?\nAnswer: 2, 3, 181, 330061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/1680)\/((-2)\/5) + 38\/(-152)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 3:25 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 200665?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*o + 1 - 3 - 41*o + 58*o to s*o + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -228 or -226?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*s - 3*s + 147, -21 = -p + 5*s. Suppose -p = -4*m + m. Suppose 3 = o, -v - 3*o + m = -0*o. Solve -v*x = -4 - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 272*t + 26260 = 273*t, t + 26252 = h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*w + 9, 4*a = -0*a - 3*w + 36. Let n(u) = 2*u - 21. Let j be n(a). Let z(l) = l**3 + 2*l**2 - l + 3. What is z(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 - -62. Let d(n) = n**4 + n**2. Let v(r) = 60*r**4 + 32*r**3. Let y = -14 - -10. Let c(t) = a*v(t) + y*d(t). Factor c(i).\nAnswer: -4*i**2*(4*i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101110000 (base 2) to base 11\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 698 + -582. What is the greatest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -23*i - 659. What is f(-28)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i + i - 1 - 2*i**2 + 9*i)*(-26*i - 44*i + 11*i) to l*i + d + m*i**2 + n*i**3 and give l.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12122010222 (base 3) in base 10?\nAnswer: 110915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 199 + 201. What is the greatest common divisor of x and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15430 is divided by 6099.\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhe. What is prob of sequence deh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 517487.5 millimeters?\nAnswer: 51748.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*i + 2, -30 = -3*l + 3*i. Let c be (8\/(-2))\/(l - (-19)\/(-3)). Solve 3*f + c = -9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/6))\/(l**3*l*l)*l**(-10)\/l*l*l**1*l assuming l is positive.\nAnswer: l**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3663462 divided by 1181\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3571 + 0.5571. Which is greater: g or 339?\nAnswer: 339","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1257, -2436, -3463, -4266, -4773, -4912, -4611, -3798?\n\"Answer: 12*q**3 + 4*q**2 - 1275*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*c + 32500010, 4*c = -2*t + 35508995 - 9508985. Round c to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j + 5. Let r be o(1). Suppose -154 = y - r*y. List the prime factors of -2*3\/(-4)*y\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3011, -3.8, -3, -521?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15587 and 218?\nAnswer: 31174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v, u - 20 = -3*u + 4*v. Solve -u*n + 3 + 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 6*b - 6. Let s(q) = q - 7. Let o be s(8). Suppose 4*y + o = -15. Calculate x(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 14 = 0, 610*x - 608*x - 1 = -k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 - 1471*v - 32117. Calculate p(-23).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 10 - (-5 + -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/272888 and 51\/11924.\nAnswer: 73952648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.001 (b) 0 (c) -4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/401 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1071*a**3 + 10*a**2 + 28 wrt a.\nAnswer: 6426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n**3 + n - 1. Let t be w(2). Let r = -29 + t. Calculate the least common multiple of r and 48\/(-9)*99\/(-66).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*k - 6, 6 - 22 = 4*k. Suppose 17*v + u = 16*v + 22, -4*u = -d*v + 52. Solve 12*g - v = 7*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(6400\/16))\/(1\/(-4)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqkg when four letters picked without replacement from {k: 3, x: 2, g: 1, q: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 77941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3906306 by 3.\nAnswer: 1302102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5*a**2 + 2)*(6*a - a + 0*a).\nAnswer: -25*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -49*g + 54*g. Let q(a) = -a**3 + 7*a**2 - 9*a + 1. What is q(g)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59562 is divided by 1486.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28506373?\nAnswer: 7, 499, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 9*g**2 + 2*g - 19. Give m(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 98932204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*c - 27*c + 21*c**2)*((1 + 1 - 1)*(-2*c**2 - 5*c**2 + 3*c**2) + 4*c**2 - 2*c**2 + 0*c**2) to o*c**4 + f + t*c**2 + q*c + m*c**3 and give o.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 10832?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*1*4*-5)\/(4*(sqrt(320) + sqrt(320)*-3)).\nAnswer: 5*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 2 + -8 + -1. Let x be d\/(-10) - (-2970)\/50. Let j = x - 34. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-8)\/(-36) - (-39)\/9. Let f be o\/((-5)\/(-1)) + -3. Let i = -6\/133 - -9\/19. Which is the second biggest value? (a) 3\/5 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -274572269 rounded to the nearest one hundred thousand?\nAnswer: -274600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 1, 8, -175, -5, -1 in ascending order.\nAnswer: -175, -14, -5, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-15)*(-8)\/(-6)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -39 (b) -3003 (c) -4\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000059111 to seven dps.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53*r**3 + 76*r**2 - 4*r + 241507 wrt r?\nAnswer: -159*r**2 + 152*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 1. Let c(h) = -5*h + 2. Let y be c(6). Let u = y + 31. Suppose u*v = -0*v + 9. Calculate t(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 3*b**2 + 3*b - 2. Let z be q(1). Let v be z\/2*(-1926)\/9. Suppose 5*u - 18 = v. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 5*z**8\/112 + 13*z**7\/70 + 9*z**6\/40 - z**5\/20 - z**4\/4 - 9*z**2. Factor t(p).\nAnswer: 3*p*(p + 1)**3*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4)**22\/(n*n**(2\/11))**(-9\/2) assuming n is positive.\nAnswer: n**(2053\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-2 - -1))*-1. Let z be 3 - 4 - (-1 - -1) - h. Suppose -q = -2*c + 5, 4 = -2*c - z*q + 24. Solve 0 = x - c*k - 29, 7*k = x + 4*k - 19 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -337, -330, -329, -340, -369?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 + -74. Suppose -647 = a - 4*a - v*s, -4 = -s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 849*y = 820*y - 551 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(20\/11)*(k\/(((k\/(k*(k*k**(-1\/4)*k*k)\/k)*k)\/k)\/k))**(-15) assuming k is positive.\nAnswer: k**(-2515\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 22*x - 35. Let w be q(2). Suppose 4*t + 13 = -15. What are the prime factors of (-54)\/t*42\/w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from {m: 1, f: 2, o: 2, g: 1, y: 1, x: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -40*s**2 - 3. Let z(k) = 10*k**2 + 1. What is 2*q(w) + 9*z(w)?\nAnswer: 10*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -758\/1164257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c - 6. Let q be 100\/(-6) + 3\/(-9). Let d = -22 - q. What is the least common multiple of i(d) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36083 divided by 2082.\nAnswer: -36083\/2082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*f + 18318, 13739 = -9*g + 12*g - 2*f. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*h, -4*z + 2041 = 3*h - 67255. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906112611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -56?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 25*o. Let s(t) = -2*t**2 + t + 3*t - 4*t. Determine c(s(g)).\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6192\/9030 + 4\/(-14). Let h = -14.5 - -14. Put v, h, 0.2, -5 in decreasing order.\nAnswer: v, 0.2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2714771 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f - 3*f = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 169*z**6 - z**5 + 82*z**2 - 2. Let x(t) = -339*t**6 + 3*t**5 - 164*t**2 + 5. Let p(n) = 7*d(n) + 3*x(n). What is the third derivative of p(l) wrt l?\nAnswer: 19920*l**3 + 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7594\/18 - (-5)\/180*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, -1, -5.\nAnswer: -5, -1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838684888?\nAnswer: 2, 104835611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1c1 (base 13) to base 4\nAnswer: 11012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 9*o**2 + 25*o - 133. Calculate g(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 172866314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*f**3 - 30*f**3 + 2*f**2 + 1 + 19*f**3 to d*f**2 + i*f + h + r*f**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 0.0779363788727261?\nAnswer: 0.4779363788727261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 g, and 2 m when four letters picked without replacement from {e: 1, n: 1, g: 1, m: 4, x: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*n - 34*n = -230*n - 195*n - 32782 for n.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 767 + (-4 - (-5 + -11)). Solve -782 = 3*f - m, -4*x - 14 = 2*f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074829949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 + 5*d. Let l(f) = -243*f - 37*f**2 - 195*f + 438*f. Determine x(l(u)).\nAnswer: -5476*u**4 - 185*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)*2*-3 + -2 + sqrt(304) + sqrt(304)*-4 + sqrt(304))*-2)**2.\nAnswer: 512*sqrt(19) + 77840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 3*d**2 - 6*d + 5. What are the prime factors of z(6)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*f + 31 - 1 = 0, 2*j - 6 = f. Let r(y) = -y - y + j*y + 2*y. Let h(k) = k. What is h(r(d))?\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63350 and 21350.\nAnswer: 3864350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*f - 4176 = 220*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 29. Let t be s(6). Let i be ((-5)\/t + 0)\/(3\/6). Let k = -3.97 + -0.03. Which is the nearest to i? (a) 2 (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2054 - 4?\nAnswer: 2050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 5557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -832037 - -831968.9822. Let i = b - -0.0178. Does i = 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -28. Let d(k) be the third derivative of 0*k**s + 1\/30*k**5 + k**2 + 0*k**3 + 0 + 0*k - 1\/60*k**6. Factor d(h).\nAnswer: -2*h**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(102)*1 + sqrt(102)) + (sqrt(102) - ((sqrt(102) - 5*sqrt(102)) + sqrt(102)))*2)\/(sqrt(42)\/sqrt(63) + (sqrt(864) - sqrt(864)*4)).\nAnswer: -42*sqrt(17)\/107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -36837\nAnswer: 14734.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = 3*h - 2, 1 = 3*t + 5*h. Let r(s) = 7*s - s**2 + 8 - 6*s + t*s. Is r(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 10\/49, 4\/7, -117\/2, -5 in ascending order.\nAnswer: -117\/2, -5, 10\/49, 4\/7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnwn when four letters picked without replacement from {w: 1, n: 1, j: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j + 3. Calculate g(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-6)*((-6)\/4)\/(-3). Let m(n) = 2*n**3 - n**2 - 3*n + 2. Let q be m(2). Let d(j) = 1 + z - 2*j - q*j - 2. Calculate d(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15681.6 * -1676.\nAnswer: -26282361.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/((g\/g**(1\/14))\/g))*g)\/g)**(1\/4)*(g\/(g*g\/g**37))\/(g\/(g*g\/(g**(1\/41)*g)*g*g*g*g)))**(-21) assuming g is positive.\nAnswer: g**(-275229\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.096 or -33\/4?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**5 + 705*d**4 + 3610*d**3 + 5820*d**2 + 2920*d = 0. Calculate d.\nAnswer: -2, -1, 0, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 16 = 0, -1264 - 1902 = -14*d + 2*g. What is the highest common divisor of 405 and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 7:38 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4413 (base 8) in base 9?\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 927 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 73 + 196?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 6594*d + 8056*d - 3780*d.\nAnswer: 10870*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - q + 1)*(42*q**2 - 51*q**2 - 288*q**2) to f*q**2 + a*q**3 + c + h*q and give a.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -240*l**2 - 126*l - 2. Let n(x) = 240*x**2 + 106*x + 2. Determine -5*m(h) - 6*n(h).\nAnswer: -240*h**2 - 6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2. Let y(i) = -i + 16. Calculate -2*p(h) + y(h).\nAnswer: -h + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3235*d**2*h**2 - 2*d**2*h + 6*h**2 - 7428*h wrt h?\nAnswer: 6470*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-70))\/((-1)\/(7\/4))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4\/56889?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -32*z**4 + 18614288*z**3 - 3609276316920*z**2 + 233274145319482348*z + 466562727893147192 = 0.\nAnswer: -2, 387799\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 15. Let s be t(12). Let m = s + 15. Let w = 63 + m. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 6. Let s be a(0). Let t(u) = -u**3 + 5*u**2 + 6*u + 2. Let z be t(s). Does 13 divide 22 + (0\/z)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 + 1 - 3*x**3 + x**4 + 0*x**3 + 25637*x**2 + 78*x - 25634*x**2 to the form r + j*x**3 + a*x**4 + i*x**2 + h*x and give h.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -40. Sort 10, 5, n in decreasing order.\nAnswer: 10, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 114, 51 in descending order.\nAnswer: 114, 51, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -113*j - 8. Let d be f(1). Let a = 327 + d. Let g = 68 + a. What is the remainder when g is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqqbqqbqqbbqq. Give prob of sequence bb.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iibm when four letters picked without replacement from {b: 2, m: 1, i: 2, x: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 7*d**2 - 9*d - 3. Give g(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmeoe. Give prob of sequence qom.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**4\/4 - 7*j**3\/3 - j**2\/2 + 7*j + 1. Let u be l(7). Solve u = -5*x + 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3404429 and 1448?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.439 - -0.5.\nAnswer: 1.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r + 169 = -111. What is the highest common factor of r and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 7. Let u be s(8). Let t = u - -1. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a - 7. Let h(o) = -o + 1. Let g(l) = l - 9. Let i be g(4). Calculate i*h(z) - v(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -42. Let m(g) be the first derivative of g**3\/3 - g - 1. Let n(j) = 3 + 3 - 4 + j**2 + j. Determine b*n(w) - m(w).\nAnswer: -2*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from vvvvvvvvavlvvvvvvvvv?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 4*u + 36 = -8*j, -5*j - 9897*u + 9900*u - 83 = 0 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18419, -18429, -18453, -18497, -18567?\nAnswer: -18669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -1. Let f be -3*(-1)\/3 - (-8)\/4. Suppose 3*a = 9, -f*n = -d*n + 4*a - 6. Solve n*u + 15 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 15*g - 18.\nAnswer: 3*(g - 6)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*v = -122, v + 58 = -2*o + 5*v. Let t(p) = 2*p**2 - p + 23. Let q be t(5). Let s = q + o. List the prime factors of s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2185 greater than or equal to -2179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 916*c. Let h(t) = 230*t. Give l(h(q)).\nAnswer: 210680*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 14*v - 18*v + 5*n, 4*v = 2*n + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -128*p - 8. Let y(x) = -18040 + 9021 + 9019 - 2*x**2. Give y(v(z)).\nAnswer: -32768*z**2 - 4096*z - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17949361 - 17949361 + 90*r.\nAnswer: 90*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvw when three letters picked without replacement from {v: 4, y: 2, w: 2, d: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108979 + 155282. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 4*n**2 - n + 1. Suppose 15*d - 6665 = -16*d. Let p = d - 217. Give k(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -30*((-22)\/80 - (-2)\/(-16))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/18)\/(3\/(-9))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -148, -61, 1 in decreasing order.\nAnswer: 1, -61, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 995, 1069, 1155, 1259, 1387, 1545, 1739?\n\"Answer: a**3 + 67*a + 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + l + 148485 = 148476, 0 = 2*q - 4*l + 14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(sqrt(324) + sqrt(324)*3))**2.\nAnswer: 1\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143 - -13224?\nAnswer: 13400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 4)*(-q**4 + q**3 - q**3) + 904*q**2 - 8644*q**4 - 904*q**2.\nAnswer: -8642*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33 from -189.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 10) to base 11.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2223031 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 6.9. Suppose -h = 4*r + 5, -5 = -4*h - 5*r - 25. Let i be 0 - (49\/21 - 3). What is the nearest to p in h, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 + 2*i**2 - i - 42. Let b be o(-4). Suppose -b = 80*c - 86*c. Solve 11 = 5*g + c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**5\/2 + 2100*z**4 - 667482*z**3 - 671685*z**2 + 1334967*z\/2 + 669585 = 0. What is z?\nAnswer: -1, 1, 490, 911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -14, 111 in descending order.\nAnswer: 111, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2952.72 + 49.28. Let c = 3001.9449941 - p. Let x = c - -0.055. What is x rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p - 5. Let t be a(4). Suppose -4*r + 6 = j, r + 3*r + 4 = 4*j. Is t greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = w - 5. Let s be (-42)\/(-5)*w\/(-4). What is the highest common divisor of 105 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/(-2)*(-14056)\/(-15813)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*p + 132 - 132)*(9*p - 13*p - 21*p).\nAnswer: 2625*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11908.\nAnswer: 2, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/16*-4*(-308)\/(-4389).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 + 12*a - 5. Calculate the remainder when 246 is divided by d(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 1, p: 2, q: 2, a: 1}. Give prob of sequence oc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 70.1 and 39.\nAnswer: 2733.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (12\/(-10))\/((-32)\/(-40)). What is the nearest to 0 in 0.2, g, 8, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25780 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(128)*2 - (((-1 + sqrt(128))**2 + 4 - sqrt(128)) + sqrt(128)).\nAnswer: -133 + 112*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121842288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132493215*m + 132493215*m + 32*m**2.\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 203 - 207. Is (-860)\/50*(-16 + n) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (44\/(-5))\/((-632)\/1580). Solve -a = 3*h - 40 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2 = -4*h, -2*d - 1 = -h - 0. Let a be d\/(6\/(-9)) + -1. Let c be (-6)\/((-14)\/4 + a). Solve 0 = 3*t - 4*t + c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18903977245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67281287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5068, 8, 0.25, 0.1, -1\/5.\nAnswer: -0.5068, -1\/5, 0.1, 0.25, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -330, -326, -318, -306, -290, -270?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 869, 880, 891?\n\"Answer: 11*s + 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6990 and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/3*(-18)\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - d - 1. Suppose 3*q = -4*a + 1 - 4, 0 = 2*a + 3*q - 3. Suppose 6*u - 2 - 4 = 0. Let p(m) = -5*m**2 - 3*m - 4. Determine a*c(j) + u*p(j).\nAnswer: -2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 2. Suppose -q + 6*q = j + 126, q - 21 = -4*j. Let l be 5\/q + (-11)\/5. Let p be f(l). Solve p = 3*c - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/8 and 5235\/9120 + -2 + (-2)\/19.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71.1 + 72.1. Let d = 0.47 + -0.5. Sort 2, d, t.\nAnswer: d, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -163 - -168. Let c = 32 - 30. Sort p, c, 0.6, 4 in decreasing order.\nAnswer: p, 4, c, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 35441433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2371 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -4499*f**3\/3 + 739*f**2 - 16*f + 159. Differentiate j(o) with respect to o.\nAnswer: -8998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0.1. Let m = u + 0.2. Let w = -0.36 - -0.06. Which is the nearest to 1? (a) 2\/3 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -783800, -1567595, -2351390, -3135185, -3918980?\n\"Answer: -783795*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 2*v + 2. Let p(w) = -6*w**3 - 15*w - 15. Suppose -3*c + 8*c - 76 = -b, 3*c - b = 44. Determine c*r(n) + 2*p(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 12*l + 1\/4*l**4 + 0*l**3 + 0*l**2 - 9. What is the first derivative of w(d) wrt d?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -7*v**6\/3 - 1292*v**5\/5 - 177*v**4\/2 + 1292*v**3\/3 + 184*v**2 + 4645. Determine f so that u(f) = 0.\nAnswer: -92, -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018148029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y + 9. Let b = -22 + 25. What is the greatest common divisor of b and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/9)*p)**(22\/3))**(-24) assuming p is positive.\nAnswer: p**(-1232\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 3*b + 8 = 0, 0*b - 4 = 43132*p - 43130*p + b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 - 3*p + 3. Let l be 3\/((-6)\/(-8)) - 2. Let m(b) be the second derivative of -b**4\/6 - 2*b**3\/3 + 2*b**2 - 2*b - 596. What is l*m(d) - 3*q(d)?\nAnswer: 2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990094?\nAnswer: 2, 7, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1230)\/(-45))\/41)\/(2\/(-90)*2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 967127, 966938, 966749, 966560, 966371?\nAnswer: 966182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 308386 - 308386 + 4922*z**2 to the form o*z**2 + v*z + n and give o.\nAnswer: 4922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 80.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*r - 12582, 4*u - 25168 = -0*r - 2*r. Suppose 6*q + u = 13*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (530 + 331 + 1888)*(-1 - d**4 + 1) as w*d + z + t*d**3 + l*d**2 + a*d**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8684979, 8684980, 8684981, 8684982, 8684983?\n\"Answer: z + 8684978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12857.\nAnswer: 13, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 - 56*j + 197 - 57*j + 117*j.\nAnswer: 4*j + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466003?\nAnswer: 23, 20261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, n: 5, z: 1, h: 1, b: 2}. What is prob of picking 1 n and 1 b?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 260774*h - 2 - 260569*h.\nAnswer: 205*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 7*f**2 - 6*f - 1. Let i be k(6). Let a = 4 + -4. Let t be 8\/(2\/1) - a. Sort i, 1, t in increasing order.\nAnswer: i, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37214.99957891 - 37215. Round o to six dps.\nAnswer: -0.000421","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15259.199 - -15259. What is the closest to 2\/7 in -0.1, x, -2\/21, 4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-3)\/(-24)*-22)*2526\/(-2105)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.88 + -52.12. What is the second biggest value in 4, -3, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 1063?\nAnswer: 318.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 16*n + 132. Calculate the remainder when w(12) is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -97. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -7 + 29 + -30.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > -0.88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**2. Let d(x) = -29 - 38*x + 20 + 39*x + 49. Calculate v(d(y)).\nAnswer: -5*y**2 - 400*y - 8000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17346620 by -5.\nAnswer: 3469324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/8*(2772\/315)\/(132\/144)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12\/29 + -50\/261. What is the fourth smallest value in l, 6\/5, 0.1, 0.05?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*q + 175 + 169, 7*d = 5*q + 1220. Which is the third smallest value? (a) d (b) -0.06 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11538\/5 - -2308. Sort 0.1, 1\/4, a, -6 in descending order.\nAnswer: a, 1\/4, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.20775 to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -892 or -20489\/23?\nAnswer: -20489\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217.1461 hours to seconds.\nAnswer: 781725.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 4 (c) -8 (d) -6 (e) 9717\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 845 and 1755.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -951, 0.181, 1.\nAnswer: -951, -4, 0.181, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25*15\/(-675)*-18?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -18*k**2 + k + 20. Let f(s) = -8*s**2 + s + 9. Let r(i) = 2*b(i) - 5*f(i). Let d be r(-1). Solve 0 - 3\/10*v**3 - v**d - 3\/10*v = 0 for v.\nAnswer: -3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-28)\/8)*2. Let p be (732\/(-9) - -4) + h. Let v = -75 - p. Which is the second smallest value? (a) -5 (b) v (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174619 and 36278162?\nAnswer: 4259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.10490009 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 444260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen eighths of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2\/2 + 17229*a\/2 - 68820 = 0. What is a?\nAnswer: 8, 5735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 34*u - 5160. Determine a(-60).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 2*o**7\/35 + o**6\/15 - o**5\/5 - o**4\/3 + 5*o**2 + o. Determine h, given that n(h) = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*((-7)\/14)\/((-1)\/(-22)). Suppose -2*u - 11 = -0*u - 3*r, 2*u + 1 = r. Suppose 0 = k - 4*b - 45, v + 102 = 4*k - u*b. What are the prime factors of k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19475 - 19540. What is the smallest value in 5, -5, w, 0.3, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1937*g**2 - 209*g + 420. Is 25 a factor of p(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.43 from -1356.\nAnswer: -1354.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 354 divided by -5\nAnswer: -354\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 177130215 to the power of 1\/3, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a - 11. Let s = -104 + 107. Let y be w(s). Suppose -y*o = -18*o + 52. What is the remainder when 77 is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 8 = 9*h - 10*h, -17 = 3*h + 5*g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebqbyebyeqybeeeym. Give prob of sequence qme.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = u + 2*u. Does 25 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 4469?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 41, 78, 131, 200?\n\"Answer: 8*i**2 - 3*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert bb (base 16) to base 7.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011697069 to 6 decimal places.\nAnswer: -0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1009361013*z**3 - 2256*z**2 + 8484*z - 1 wrt z.\nAnswer: -6056166078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2868 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41359121*w**3 - 50006936?\nAnswer: -124077363*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -283 + 283. Let m = -0.0054 + 3.0054. Sort v, 0.2, m, -7 in increasing order.\nAnswer: -7, v, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85 divided by 1\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 0\/1) + (-87 - -86). Let y be (s - -6)*2 - (-102 + 3). Suppose -11*h + 10*h = -y. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, 69, -3, -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1038460 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 72\/30*1205820\/(-14553)*(-7)\/12\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 250 - 178. Let g = b + -64. Calculate the smallest common multiple of 12 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19288.10999 + 19288. What is x rounded to three decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3*n - 27378299, 5*n = -4*m + 5*m - 27378299. Suppose 6*t + m + 10781701 = 0. Round t to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10 - 3*l**3 - l + 16*l**2 + 14*l + 4*l**3. Let d be t(-15). Suppose 3*c = 3, -s - 5*c + 18 = -2. Solve b = -0*z - 2*z - s, -d = 5*b + 3*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1618881.5999432 + 1619043.6. Let b = 162 - r. What is b rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -6*g**5\/17 + 250*g**4\/17 + 1404*g**3\/17 - 128260*g**2\/17 + 1043850*g\/17 + 362250\/17 = 0.\nAnswer: -23, -1\/3, 15, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -187.41.\nAnswer: 56.223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 - i**3 - i**3 + (-2147 + 131*i + 2147)*(25*i**2 + 23*i**2 - 12*i**2) in the form v*i + m*i**2 + l + o*i**3 and give o.\nAnswer: 4717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/498 and -131\/300.\nAnswer: 24900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aakgagazzzkzzga. Give prob of sequence agkz.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by 26?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.3113 to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, n: 5}. Give prob of picking 2 n.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -238833713?\nAnswer: 238833712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 3*u - 249. Suppose -u - 97 = 4*l. Which is greater: -43 or l?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = k - 4, 2*f = -2*f + 2*k - 8. Suppose -2*r - 3*u + 22 = f, -10*u - 7 = r - 13*u. What is the derivative of -5*y**4 + y + r + 10*y**4 - y wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10 - 47082\/(7 + -14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -222763*v**5 + 2*v**4 - 3780*v - 1157 wrt v?\nAnswer: -4455260*v**3 + 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17853\/3842 + 216\/113. Let u = 73684 - 43065. Let p = -551279\/18 + u. What is the common denominator of w and p?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 39 = 3*y. Suppose y = 2*i + 3*i. Suppose -v - 3*o = o + 9, 0 = -i*o - 12. Solve 0 = h + v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 41*y + 48*y - 5 - 90*y. Calculate v(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24445 is divided by 3734.\nAnswer: 2041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*h + 726 + 1560 = -1188 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f = 42*f - 16*f - 60 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 22 = 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 5 - 1. Let o(h) = -h + 4. Let t be o(6). Let q = t + n. Which is the nearest to -0.2? (a) 0.3 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 - 81*t + 10. Determine g(20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**2 + 12*d + 98. What is the thousands digit of w(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 29 = 5*n - 17, 4*n - 27 = -l. Let f = 9 - l. Calculate the remainder when 3 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12*z**2 + 6*z - 7. Let i be n(-4). Let y = 1613\/10 - i. Do 1\/3 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -246, -307, -408, -549, -730, -951, -1212?\nAnswer: -1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 271 + -186. Let w(d) = d**3 + 8*d**2 + 11*d + 2. Calculate the remainder when m is divided by w(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -11. Let i = 7 + y. Suppose 5*m - 15 = 4*b - 0, -i*m + 6 = -5*b. Solve -1 = v - b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -254384?\nAnswer: -254387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = o + 5*a + 185, 3*a = 5*o - 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1001001011111011100 (base 2) to base 13\nAnswer: -a7025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8 = w, -5*y + 2*w = -2*w - 2. Let t = 103 - 68. Let l = t + -23. Solve -3*j - l = -2*j - y*c, -j + c - 7 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4595701.1 to the nearest one thousand.\nAnswer: -4596000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s + 2332 = 2518 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7469 + -330. Let w = a - -140435\/18. Find the common denominator of w and (-503)\/126 + 3*(-8)\/84.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p - 4*s = -2*s + 508, 8*p - 9*s + 0*s = -6*s + 150 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 + -57. Let y = l - 16. Let s(c) = 2*c + 46*c**3 + 6*c**2 - 4 - 26*c**3 - 19*c**3. Give s(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 16 = -0*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Let x(i) = 4*i + 1 - 1 - d. List the prime factors of x(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) -37 (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-20) + (-2)\/(-10). Let h be 24\/18*(-9)\/(-2). Suppose a = 4*y + 2*o - h, -5*o = -11 - 4. Is -1\/11 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.11, -121, 565, 0.4, 2\/3, -1\/4, 2\/27?\nAnswer: 565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4 + -1)\/(-30))\/((-2)\/16). What is the closest to -2 in 0, y, -2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2\/5 - c\/5 + 12\/5 = 0?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4918683 is divided by 3236.\nAnswer: 3199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 7*d + 8*d - 7*d + 3*d + 2*d + (-181*d + 94*d - 177*d)*(-1 - 4 + 3).\nAnswer: 542*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + ((-24)\/(-20))\/((-4)\/(-10)). Let l(d) = -6*d**3 + c*d**3 - 15*d**3 + 3*d**3. What is l(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 y when four letters picked without replacement from yvyvyvvvyvvvyvvv.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 2. Suppose -u + d = 4*s, s - 4*s + 14 = -4*u. List the prime factors of (7 - -81) + (s - -1).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 23 + 6 + -5 + -25\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33556113 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*k - 11, -k = -u - 3*u. Let q be u\/(-2) - (-5)\/(-2). Which is the smallest value? (a) 0.4 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60756 and 1743.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2018\/903?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -773 + 1162. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 4*w = 12, -2*j + 0*j - 3*w + 7 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 2798*s**2 + 977200*s + 980000.\nAnswer: 2*(s - 700)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + (sqrt(5) - sqrt(35)\/(sqrt(77)\/sqrt(11)))*1 + -3 + -1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 51*j**2 + 1193*j - 3. Determine n(69).\nAnswer: -3384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1347 - 969. Calculate the greatest common factor of o and 2352.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 6:52 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 7*h**2 + h + 2. Let r(m) = -m**3 - 8*m**2 - 2*m - 2. Let v(g) = 5*l(g) + 4*r(g). Give v(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + -7 + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2183, -2042, -1901, -1760, -1619?\nAnswer: -1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -21*m**3 - 72*m**2 - 69*m - 18 = 0.\nAnswer: -2, -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3508 divided by 4\nAnswer: -877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 13*a**2 - 12*a + 5. Give d(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(sqrt(612)*-2)**2 + sqrt(612) + sqrt(612) + 1*(-2*(sqrt(1700) + 2 + sqrt(1700)))**2)*-2.\nAnswer: -29960 - 664*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyweyyyyywwyweggygw. Give prob of picking 2 e, 1 w, and 1 y.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2475, -5661, -10965, -18381, -27903, -39525, -53241?\n\"Answer: i**3 - 1065*i**2 + 2*i - 1413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**2 - 13*v. Let f(z) = -20*z**2 + 38*z. Determine 6*f(h) + 17*y(h).\nAnswer: -h**2 + 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -11*f - 27. What is z(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-28 + 29 - (0 + -2 - -13)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*q - 80 = 84, 3*l + 2*q = 226. Suppose -32 - l = -8*r. Let s be 1\/(1 - 2)*-39. Calculate the highest common divisor of s and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1071 is divided by 89?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1377)*-5 + -6*sqrt(1377)*-2 - (4*-2*sqrt(85))\/(sqrt(720) + (sqrt(720)*1 - sqrt(720))))**2.\nAnswer: 3612857\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 163055552 to the power of 1\/4, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = 10*w - 3*w. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -840301? (a) -0.3 (b) -2 (c) 4 (d) -2\/9 (e) 7 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -20 + (-4 - -38).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127 + -214. Let m = g + 87.6. Let o = -0.2 - -1.2. Sort o, -1\/2, m in increasing order.\nAnswer: -1\/2, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -124 (b) -1 (c) 13 (d) -0.2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(3*sqrt(11)*-1).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -72)*(-10)\/(-4). Let i be ((-6)\/90)\/((-2)\/j). Let w = -91\/6 + i. What is the common denominator of 87\/14 and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*j**3 + 118*j - 126*j - 3*j**2 + 7*j**2 + 60 - 3*j**5 - 4*j**2 wrt j?\nAnswer: -60*j**3 - 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25253657581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6*a = 4. What is the tens digit of a\/(-3) + 23496\/72?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.8 - -8.4. Which is the closest to 4? (a) -7 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021356 to 5 decimal places.\nAnswer: -0.00214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + 1 + (-3*1*sqrt(567) + -5)**2.\nAnswer: 270*sqrt(7) + 5132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18\/90*((-1336)\/(-48) + -28)\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 6:20 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (192\/(-18))\/(21\/((-378)\/12)). Calculate the greatest common divisor of 1680 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 6)*(-12 - 133*j**3 + 30 + 132*j**3 + (2 - 2*j - 2)*(8*j**2 + 2*j**2 + 2*j**2) - 2*j**3 - 2*j**2 + 2*j**2).\nAnswer: 81*j**3 - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*i**2 - 3 - 3 - 4 + 9.\nAnswer: -181*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = 2. What is the remainder when 11 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/92569 - -5461799\/10552866. Let u = -5\/99 + -3821\/792. Calculate the common denominator of l and u.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2194*y - 77*y = 45*y + 141276 for y.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2221, -2216, -2211, -2212, -2225, -2256?\nAnswer: -2311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -p - 4. Calculate the highest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-8)*x)\/x*x\/(x*x**0)*((x**2*x)\/x)**7)\/((x*x**(-2))**(-16))**5 assuming x is positive.\nAnswer: x**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13\/(-2))\/((-2)\/12). Suppose 3*o = 4*o - u. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 886 a factor of 253396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/11 + 190038*u\/11 - 11219204\/11.\nAnswer: 2*(u - 59)*(u + 95078)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 r, and 1 o when four letters picked without replacement from {r: 10, x: 1, f: 2, l: 2, o: 4}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -59, 0.2, 2\/15?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-5))\/(j*j\/j**(-8)))\/(j\/(j*j**(-1)*j)*j)**(3\/5) assuming j is positive.\nAnswer: j**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -326, -2, 5.\nAnswer: -326, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 - 104.96. Let l = -0.16 - s. Let p = l + -2.8029. What is p rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45951 and 41976.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81601, 163308, 245029, 326770, 408537, 490336, 572173, 654054?\nAnswer: 735985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/15)\/(2\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1 - (-43 + 52)) + 69 + 6 - -7?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5041041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -866884 by 19.\nAnswer: -866884\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -195704 take away 407707756?\nAnswer: -407903460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 9. Let x(l) = -l**2 - 4*l + 1. Suppose -4*i = -g + 13, 6*i = i + g - 15. Let u be x(i). Sort u, r, -5 in ascending order.\nAnswer: -5, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 60 = 5*k, 3*k + 2*d + 36 = -3*d. Let a be (-3)\/k - (-518)\/8. Suppose -a = -2*r + 7. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.031 and -10.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-1260))\/((-9)\/((-31185)\/14)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 3 (c) 20 (d) 2\/7 (e) 24 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 183948082 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 78689911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -147 - -146.99999858. Round t to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70261.\nAnswer: 17, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/1 - (8754 + 18). Is (-1)\/(8 - g\/(-1096)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + r - 263, 4*a + 145 - 405 = -4*r. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -4. Suppose o*q = q. Suppose q*h = 3*h - 27. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.4 (b) -3508.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 763761366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 1. Let o be 7 + (2*-1 - -1). Calculate the remainder when i(5) is divided by 2*1\/(4\/o).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 8) to base 13\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 126*s + 403. Let w be r(3). Let d be 69*1 + 8\/4. Calculate the highest common factor of d and w.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56219268 divided by 322.\nAnswer: 174594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 7 - (-7 - -15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*l - 4. Suppose -l*j + 9 = -6. Solve -m - j + 3 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + 5*sqrt(847))**2 + -1.\nAnswer: -110*sqrt(7) + 21175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 8:11 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 51*h**2 - 3*h - 10. Let f be g(-3). Suppose -f = -8*u + 182. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -24*d**2 + 24*d + 2. Let h(w) = 36*w**2 - 37*w - 3. What is 5*h(c) + 8*q(c)?\nAnswer: -12*c**2 + 7*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -9*d**2 - 27*d + 23. Let v(s) = -5*s**2 - 14*s + 12. Let a(l) = 6*m(l) - 11*v(l). Let p be a(9). Calculate the highest common divisor of p and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*s*v**3 - 2*s*v**2 + 1349*s - 14*v**4 with respect to v.\nAnswer: 21*s*v**2 - 4*s*v - 56*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -34*g**3 - 4*g**2 + 4*g. Let v(h) = 714*h**3 + 85*h**2 - 85*h. What is 85*m(z) + 4*v(z)?\nAnswer: -34*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**2 + 0 + 0*r**3 + 0*r**4 + 0*r + 1\/60*r**5. Calculate u(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + i = -9, -8*a + 5*a = -5*i - 31 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -11*168\/264 - (-1 + -12). What is the greatest common divisor of o and 9606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68.95 + 69. Which is greater: t or -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-38)\/(-57) + (-1 - (-11)\/(-3)). Is 4 a factor of (v - -1) + (20 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-72) + 9\/4. Find u such that 6*u + 9 - 23 - q*u**2 + 10 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v - 174. Let x = 101 - v. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, r: 3, j: 1, z: 2, b: 6}. Give prob of picking 1 z, 1 b, 1 r, and 1 j.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, 3, 0, -2 in increasing order.\nAnswer: -2, 0, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 i when four letters picked without replacement from iaiwccqqaiqgiiiaiii.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 11.6.\nAnswer: -4.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10556.69 + -10557. Which is the closest to z? (a) 0 (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h. Let f(m) = -2*m - 2. Let r(s) = -f(s) - 3*z(s). What are the prime factors of r(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 684 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 974 + -447. Calculate the greatest common factor of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4545289305?\nAnswer: 3, 5, 101006429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 - 3*k - 3. Let y(g) = 4*g - 2. Let p be y(-2). Let t(j) = j**2 + 11*j + 8. Let s be t(p). Is w(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.33 + 79.77. Let s = -48 + x. Let j = 50 - s. Round j to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 21 - 13*u**3 - 5*u.\nAnswer: -13*u**3 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*k - 8. Let x = 0 + k. Suppose -2*d + 4 = -x*b - 2, 4*b - 2*d = -2. Which is smaller: b or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 1. Let o be k(0). Let n be 0 - (2 + -1)*-4. Suppose -2*t = 5*f + 4, f + n = 2*t + 2*f. Solve -t*i + 8 = -o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -24*(23541\/(-1140) - 1\/10). What is the highest common factor of r and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1883*o**2 - 4 + 1 - 3344*o**2 + 3 as x*o + h + f*o**2 and give f.\nAnswer: -1461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7527*a - 7542*a + 15048*a.\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2. Let u(k) = -k**2 - k + 5. Let t be u(0). Let y(r) = 3*r. Let c(f) = 2*f. Let w(d) = t*y(d) - 7*c(d). What is v(w(o))?\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {t: 1, p: 1, b: 3, r: 3, q: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3951070?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 67?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, b: 4, u: 10}. Give prob of sequence uu.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66928 and 47453376.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (20 - -4 - -2) + -125 + 119\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637)*-1 + sqrt(637))*5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-26) - 216\/(-117). Let f be -1 + z*26\/4. Let s(v) = 2*v + 29. What are the prime factors of s(f)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 14 = -2*j, -21 = 4*j - 3*j - 5*l. Let x be j\/2*-1*12. Suppose -2*q - 38 + x = 0. What is the highest common divisor of q and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 - 90. Suppose -6*l = -5*l + 3*i + 6, 4 = 5*l - 2*i. Suppose l = -4*b - 7 - 1. What is the second biggest value in -2\/9, r, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ooloologlolloggo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5\/17 - 3077296*w**4\/17 - 15386430*w**3\/17 = 0 for w.\nAnswer: -1538643, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 0*v + 5*v + 3*v**2 - 2*v + 2. Let u be p(-1). Suppose 0 = u*c + 8*c - 460. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 713, 701, 689, 677, 665?\n\"Answer: -12*s + 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 = 3*z. Let d(n) = 6*n**3 - n**2 + 3*n + 2. Let f(h) = -5*h**3 + h**2 - 2*h - 1. Let i(q) = -4*d(q) - 6*f(q). Is i(z) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - v - 378 = -4*v, 3*v = -3*w + 228. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.63258844 to one decimal place.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48384 rounded to the nearest one hundred?\nAnswer: 48400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 519415 and 2119?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 55*x - 5. Let v be t(2). Suppose 0 = 4*l + 4*s + 9 - v, -5*s = 3*l - 72. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42465572, -84931139, -127396706, -169862273?\nAnswer: -212327840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -196 + -590.\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9\/(-3) - (-17 + -1610)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13598609*p*q*v**4 + 19368555*p*q + 6*p*v**4 + p wrt v.\nAnswer: -54394436*p*q*v**3 + 24*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(-1 + sqrt(117) + (-1*sqrt(13) + sqrt(13))*5 + (sqrt(13) - (sqrt(13) + 1 + 4))*-1)*-3.\nAnswer: 69 + 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 - 209. Let i = z + 94.99144. Round i to 4 decimal places.\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43.2 + 43. Which is the closest to 0.2? (a) p (b) -1\/2 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 69466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1065 and -0.16.\nAnswer: -170.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u + 1. Let w be s(-1). Let m = -4 + w. Suppose m*q - 4 = -q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 9\/67 (b) -0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.353 + -0.268. Let t = y - 0.285. What is the fourth smallest value in 7, t, -1, 2\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**3 - 3*r**2 - 3. Let y(h) = -855 + 3*h + 4*h**3 - 2*h**2 - 3*h + 853. Suppose -5*s + w + 3*w + 14 = 0, 3*w = -4*s + 5. Give s*f(p) - 3*y(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 4 + 0)*(-27*k - 24 + 24) in the form f + m*k and give m.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40.98 + -40. Let k = 0.02 + u. Which is the closest to -2\/7? (a) -4 (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.218 + -31.318. Let t be (-1)\/(3\/(-3))*-9. Let z be 4\/(-18) - 4\/t. Is p greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37316 + 37334 = -6*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562947.\nAnswer: 3, 7, 11, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + (0 - -2) - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 11*b**3 - b**2 - 2*b - 1. Suppose 0 = -f - 8*f - 9. Give z(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**3\/3 - 21*c**2\/2 - 20*c - 23. Let f be ((-8)\/3)\/((-210)\/36 - -6). Does 30 divide h(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2. Let h(s) be the second derivative of 451*s**3\/3 - 27*s - 4. Determine h(u(j)).\nAnswer: 2706*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (40\/(-32))\/((-1)\/4). Suppose 0 = -3*c + 4*y + 98, 5*c + w*y = 33 + 107. Let o = 54 - c. Calculate the highest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6323336.98 rounded to the nearest one hundred thousand?\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 - (0 - 3)\/(-3). Let f = u - 3. Let p = 382 - 382. Solve p = 5*t + 20, 5*j - 4*j - 2*t - f = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 800.2382 millilitres in litres?\nAnswer: 0.8002382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1410.8500559961 - -0.8501360961. Let u = h + 1410. What is u rounded to 6 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -493*a + 5. Let i be n(1). Let l = i - -492. Solve 3*w - 3*t + 6 = 0, -l*t = 3*w - 8*w - 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 2 + 2. Let q(z) = 384*z**2 - z. Let t be q(m). Suppose -96 = -3*c + 3*k, -k + 392 - 214 = 5*c. What is the highest common factor of t and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793204177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.3, 6, 1, 2\/791?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -600885 by 15.\nAnswer: -40059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 268513427 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19)\/(-57)*-42*(-6)\/(-7). Let m be 1*-2*(-1 - 1). Let j be ((v\/m)\/6)\/(2\/(-4)). Solve 0 = q - 2 - j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (116 + -56)\/(-2 - (-192)\/94).\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + 3. Calculate the greatest common divisor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19442.\nAnswer: 2, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**3\/5 + 494164*c**2\/5 + 1976614*c\/5 - 494156 = 0.\nAnswer: -247078, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 12 - 8. Let u be (-1 - f) + (-1 - -2). Suppose 2*v = -2*c + 16, 5*c = -u*v + 3*c + 28. Which is bigger: v or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from uupmrp?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11\/100 + -9\/25. Sort -2\/39, z, -0.2, 0.5 in decreasing order.\nAnswer: 0.5, -2\/39, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 88 (b) -112 (c) 1 (d) 2 (e) -107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.38 + 0.48. Let y = 0.14 - 20.14. Let x = y + 20. What is the closest to h in -0.5, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -438728*k**3 - 720*k**2 + 3*k - 6.\nAnswer: -2632368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-1728)*-12)\/(-1*1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07439? (a) -5 (b) 2\/11 (c) 2\/105 (d) -1\/2 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/18 + 305\/(-45) + 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131 + 68*q + 32 + 31 + 33 - q**3 + 40 to the form c*q**3 + n + y*q + x*q**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 11*k - 24. Let j(g) = 3*g**2 - 20*g - 16. Let i be j(7). Calculate o(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 3968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 93 - 94 + 2*n - n**3 + 18*n**2 + 2*n. Suppose g + 72 = 5*g. Calculate the remainder when f(g) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 3:14 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/217 - -211\/651. What is the nearest to 2\/5 in 1, 11, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 21\/((-16758)\/3515) - 3\/7\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27\/8 + -21\/8. Let u be (1\/(-2))\/((-2)\/(-2)). What is the closest to u in v, 3\/5, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -7798\/11975?\nAnswer: -7798\/11975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 395*f**2 + 251*f**2 - 82*f**2 + (-2*f - 2*f + 5*f)*(f - 2*f - f).\nAnswer: 562*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfc when three letters picked without replacement from {v: 2, f: 1, h: 1, c: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - 7 - -74) + -1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -23. Let j be (-1)\/((-10)\/(-6) - (u - -1)). Let i(n) = 1337*n - 11. Let m be i(j). Round m to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**5\/4 - 3*u**4 + 9*u**3\/4 + 21*u**2\/2 + 6*u = 0 for u.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.26627 - 509.7\nAnswer: -509.96627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*s - 3*s - 3*s)*(-4*s**3 + 0*s**3 + 3*s**3) + 2*s**4 + 8*s**4 - 3*s**4)*(-s - 1 + 1 + (4*s - 3 + 3)*(1 - 2 + 0)).\nAnswer: -40*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -5*p + 28, -2*p - 64 + 70 = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11 (b) 0.5 (c) -0.2 (d) -1 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-9)*(45\/(-6))\/5. Suppose -c - 3*t = -10910, -4*t = -3*c + a*c + 10889. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10830*w**3 - 14440*w**2 + 14440*w + 7220. Let r(o) = -2*o**3 - 2*o**2 + 2*o + 1. Determine l(q) - 7220*r(q).\nAnswer: 3610*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31.26 + -31. Let v = -24483 - -24482.739983. Let r = l + v. What is r rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2259527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -268649\/28 + 9592. What is the common denominator of v and 131\/520?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-11 - (-2 - 10)) - -13.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4739 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-3)\/3*3. Suppose -q*n - 466 = -3*d, -4*d + 3*n + 776 = d. List the prime factors of d.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 6, -59, -356 in descending order.\nAnswer: 6, -16, -59, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10022, 20006, 29994, 39986, 49982, 59982?\nAnswer: 69986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -42. Let f(v) be the second derivative of 0 + v**q - 2*v - 2*v**2 - 1\/6*v**4. Find a, given that f(a) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -8. Suppose -t*n + 15 = n. Let m(a) = a**3 - 4*a**2 - 5*a + 3. Let q be m(n). Solve -4*y + q = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from fnnnnnfnnnfnnnnfnn?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z + 12. Let g(i) = -1. Let d(s) = 3. Let p(m) = d(m) + 2*g(m). Let b(f) = 9*p(f) - y(f). What is the derivative of b(r) wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2210 + 30203300?\nAnswer: 30212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from zudpdcfz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 3*y - 2*y)*(-3*y - y + 0*y)*(-1 - y + 1).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1482.000000613 - 1482. Round g to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17562506 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s - 36 + 8. Let z(y) = y**3 + 2*y**2 + 2*y. Let w be z(-2). What is the common denominator of (194\/s)\/(w - (15 - 8)) and -13\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/2, -1\/17, -4, -28\/3, -5 in ascending order.\nAnswer: -28\/3, -5, -4, -1\/17, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641077?\nAnswer: 641077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1113218 is divided by 837.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 32. Let i be d(-9). Let m = i - -2. Solve -5*w = -w - m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 6*v + 21. Determine m(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*2\/(-6) + (-15)\/(-9). Which is smaller: x or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8*z = 25. Let u = 6989 - 6986. What is the fourth biggest value in 2\/5, u, z, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(11) - (2 + sqrt(11) + 0 + sqrt(11))).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 a factor of 21934295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(40\/1224) + 2\/(-5). Let r = u - -52. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5\/9)\/(v\/v**(-1))*(v\/v**22)\/v**(-1\/35) assuming v is positive.\nAnswer: v**(-7411\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -2*s + 5*s + 6, 5*q + 20 = -5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74.2 + -89. Let y = -15.76 - r. What is y rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-4)*(-84940)\/(-186)*-87.\nAnswer: 5, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1889 divide 184844317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -357*w - 1. Let p(r) be the second derivative of r**4\/12 + r - 623. Give n(p(t)).\nAnswer: -357*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(33)\/sqrt(3) + (sqrt(396) + 0)**2)*-3.\nAnswer: -1188 - 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20781*0.11.\nAnswer: -2285.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14402 (base 5) to base 15\nAnswer: -56c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d**3*h**2 + 26*d**3*h + 2*d**2*h**2 - 8*d*h*p - 235*h**2*p**2 - 18*h*p**2 wrt h.\nAnswer: 12*d**3 + 4*d**2 - 470*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41 + 46 - (15 + 1)) + (8 - 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Suppose -h*o + 65 = -5*f, -4*f + 0*f = -12. Suppose -9*n = -4*n - o. Solve -5*w - 12 = n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/16*(651\/245)\/31?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5778 is divided by 208.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2565719431 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.89, -1, -170\/7, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 48*k + 125. Let g(t) = 96*t + 284. Determine -4*g(j) + 9*n(j).\nAnswer: 48*j - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 27*u**2 - 312*u - 33. Calculate f(8).\nAnswer: -801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149.28 + -149.25. Which is the closest to 1? (a) u (b) -0.031 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 - 5*f + f - 7*f**2 + 17*f**2. Let v(b) = -24*b**3 + 81*b**2 - 33*b. Let x(u) = -4*v(u) + 33*w(u). Suppose x(o) = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000061604925 rounded to 6 decimal places?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 48\/4960*93*-2*5\/(-8)\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1664) - (sqrt(1664) + (5*sqrt(1664)*3 + sqrt(1664) - sqrt(1664))))*4)\/((sqrt(250) - sqrt(250)*2)\/(sqrt(125)*-1 - sqrt(125))).\nAnswer: -960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**2 + 72*d - 6. Suppose -79*f = -3*u - 84*f + 38, 5*f + 28 = 3*u. Let l(s) = -2*s**2 + 24*s - 2. Calculate u*l(a) - 4*v(a).\nAnswer: -2*a**2 - 24*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 + 28*q**4 + 49*q**3 - 78*q**2.\nAnswer: q**2*(q - 1)*(q + 3)*(q + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 12 = 48. Calculate the highest common divisor of 132 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 1*sqrt(208) + sqrt(208))*1)**2 + (sqrt(832)\/sqrt(4)*-4)**2*-1.\nAnswer: -2495 - 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1633*-78662\nAnswer: -128455046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + w**2 + 1. Let l(n) = 5*n**3 - 28*n**2 - 28*n - 151. Let x(a) = -4*g(a) + l(a). Let t be x(33). Solve t + 2 = -4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14711 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 600 = 7*l. What is l rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24440?\nAnswer: 2, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 84*l + 433. Let n(w) = -6*w - 1. Calculate the remainder when n(-1) is divided by o(-36).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 48.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 166, -83, -1 in descending order.\nAnswer: 166, 3, -1, -6, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 3384188?\nAnswer: 3384186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 436393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**4\/4 - 8*c**3\/3 + c**2\/2 + 8*c + 1. Let k be s(-8). Let t = 30 + k. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8*p = 27908, -4*m = -2*p + 5*p - 27923. List the prime factors of m.\nAnswer: 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 170\/32 - (24 - 14) and (1 + (-46)\/44)*-82.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4372699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1894*k - 36157. Calculate h(19).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(200)\/sqrt(4))\/sqrt(10) + (3*sqrt(45) - (sqrt(405) + 1)).\nAnswer: -1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26831699 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (6 + -5 + -4) - -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 20*j**2 + 49*j**2 - 28*j**2.\nAnswer: j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -19744 at least as big as -19740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 7)*(-287*j - 19 + 2037*j + 10 - 4*j**3 + 9) to the form h*j**3 + n*j**2 + k + f*j and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(3\/13)*(p**(-1))**(-4\/7)*(p*p**(-2\/7)*(p*(p**(-3)\/p)\/p*p*p)\/p)\/((p**(-2\/3)*p)\/p)**(-48) assuming p is positive.\nAnswer: p**(-3047\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18142 divided by 47?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/230 and 127\/164450?\nAnswer: 164450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l - 22. Let f be p(-13). Let a(b) = 5*b. Let j(i) = -6*i. Let c(k) = f*a(k) + 3*j(k). Let g(u) = -2*u - 7 + 24 - 3 + 63. Determine c(g(d)).\nAnswer: -4*d + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + 219\/(-75))*-10. Let g = 1698 - 4987\/3. Let b = g - 36. Sort b, -2, j.\nAnswer: -2, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 4*u - 1. Let d be v(-5). Suppose -d*z + 2 = -p, p + 3 - 2 = 3*z. Let f = 0.1 + -1.1. Which is the second biggest value? (a) p (b) 0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((4*sqrt(343) + 5 - sqrt(343)) + sqrt(343) + (0 + sqrt(343))*2))**2*5.\nAnswer: 33600*sqrt(7) + 989840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 116 = -5*x, -14*x + 84 = 2*f - 17*x. Suppose 43*z = 27*z + f. Let d = 2 - 1. What is the closest to d in z, -2\/7, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d - 5*m - 25, -4*m - 20 = -4*d. Let l be 0\/(-2 + (-1 - -4) + d). Solve 3*v + 27 = -3*j, l*j = 3*j - 2*v + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -894 - -588. Let d = -110 - g. Suppose d + 100 = 2*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 11*z**4\/4 + 2*z**3\/3 + 6*z**2 - 143*z. Let r be (33\/(-9))\/(2\/(-6)). Is f(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 - 13*l**2 - 14*l + 21. Calculate s(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -13*w - 29. Calculate the remainder when q(-4) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h = -46*h + 68 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -555.94 + 556. Let n(t) = t**3 + 7*t**2 + 8*t + 9. Let i be n(-6). Which is the closest to -1? (a) h (b) -4 (c) 3 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 + 1?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.3, -77, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 3\/7*s**4 - 5\/14*s**6 - 46 + 10\/7*s**3 - 6\/7*s - 24\/35*s**5 + 3\/14*s**2. Determine z, given that i(z) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -999, -2350, -4059, -6132, -8575, -11394, -14595, -18184?\n\"Answer: -i**3 - 173*i**2 - 825*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 1742.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - q**2 + 4*q - 1. Let n be t(-3). Suppose 0 = z + 4*z + n. Which is smaller: -2\/9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 11 = -5*y. Let j = 12.084 - 12.484. Which is the smallest value? (a) 0.1 (b) -1 (c) y (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1766\/3 + 588. Which is the third smallest value? (a) 1\/3 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3) + 0 + (-8)\/(-3). Calculate the common denominator of (z\/18)\/((-15)\/(5535\/(-6))) and 1\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 4*t - 32 = 0, 32 = 14*w - 17*w - 4*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**4 - 5*a**3 - 34692869*a**2 + 851514084*a wrt a.\nAnswer: -24*a**2 - 30*a - 69385738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49437 - 4745909\/96. Calculate the common denominator of -4\/3 and a.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82\/109 + 25228\/33245. Let o be (-4264)\/(-50)*10\/(-183). Let j = t - o. Calculate the common denominator of j and -14\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 3*z - 164. Suppose z = 2*j + j. Let k(s) = 2*s**2 + 2*s - 1. What is the remainder when k(-5) is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (9 + 11861)*1092\/168?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5805201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3182335528.\nAnswer: 2, 397791941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.161*-81\nAnswer: -13.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 + 5*i + 17. Let v(n) = 2*n**2 + 2*n + 8. Let b(s) = -3*p(s) + 7*v(s). Does 17 divide b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 4*t - 27, 0 = 5*t - 3*t - 4. Let q(w) = -w**3 - 7*w**2 + w + 9. Let j be q(y). Solve 4*d + j + 6 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 0 + 23*b**2 + 0*b**4 + 0*b**5 - 9\/40*b**6 + 19\/6*b**3 + 0*b. Differentiate q(j) wrt j.\nAnswer: -81*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*k, 0 = 3*p - 4*k - 4 - 10. Let f(o) = o**2 - 3*o + 1. Let l be f(4). Solve -2*c + l*y = 2, -5 = 3*c + p*c - 5*y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10794.97 rounded to the nearest ten?\nAnswer: 10790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + (-1 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -128*p + 125*p. Let x(l) = 2*l + 31. Let j be x(p). Let b be (17\/(-3))\/(1\/(-9)). What is the highest common factor of b and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 11*i + 10. Let q be z(-12). Let k(n) = -n**3 - 2*n**2 - 2*n - 2. Let u be k(q). Put 1, -1, u in ascending order.\nAnswer: -1, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3 - 4*h + 8 + 3*h. Suppose -4*j + 62 = 3*g, 11*g + 3*j - 1 - 98 = 0. What is y(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14839?\nAnswer: 11, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 209521427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8*(-144)\/(-6)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**2 + 569*f - 572. Determine n(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + sqrt(325) + (-2 + 3 + sqrt(325))**2.\nAnswer: 15*sqrt(13) + 328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43585 is divided by 3627?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310772 is divided by 68?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 3*t + 9 - 3 = 0, -4*k - 37*t + 35*t - 12 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 1277*q**6\/30 - q**5\/20 + 235*q**4\/12 - q**3\/3 - 650*q. Find the third derivative of v(b) wrt b.\nAnswer: 30648*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - ((-2)\/1 - 1). Suppose d - 2*m = 3, 0 = 3*m - f*m + 15. Which is smaller: d or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -120?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**(-1)*o*o)\/o*o*o*o*o**(-2\/11)*o)\/(o**(3\/4)\/o**(-5))*o**(-3)\/(o\/(o\/(((o**(-2\/13)\/o)\/o*o)\/o))*o)*(o**(1\/4))**(-9\/7) assuming o is positive.\nAnswer: o**(-6205\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/6 and (1\/310*14)\/((-76)\/190)?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w**2 + 2*w - 9. Let h(r) = -7*r**2 + 5. Let q(o) = -31*o**2 + 22. Let g(p) = -9*h(p) + 2*q(p). Calculate -2*c(n) + 18*g(n).\nAnswer: 2*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3*n - 40 = 59, -8*z + 12*z + 3*n = -132 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b = -20. Let j = -1742 + 3487\/2. What is the closest to 0.15 in b, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-16)*-10*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/23)\/((q\/(q\/(q\/q**(-19))))\/q) assuming q is positive.\nAnswer: q**(-436\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 7. Let d(o) be the second derivative of -4*o - 1\/10*o**u - 2\/3*o**3 + 0 + 0*o**2 + 0*o**4. What is the second derivative of d(j) wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*l + 5, o - 4 = 2*l + 1. Suppose -3*u + p - 8 - 2 = 0, 4*p = 2*u. Let v be ((-44)\/16 - l)*u. What is the highest common factor of 15 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = 2*h - 11794 + 11850, 3 = 4*o - 2*h + 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*r**2 + 143*r**2 + 105*r**2 + (5 - 5 + 2*r)*(-5*r + 8*r - 7*r) to s + y*r**2 + p*r and give y.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, u: 4, z: 5}. What is prob of picking 1 l and 1 u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 3906?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 87*k**4\/4 - 3*k - 42. What is the derivative of h(r) wrt r?\nAnswer: 261*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2034 and 12.\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -541 - 1914*t**2 + 678*t**2 - 12 wrt t?\nAnswer: -2472*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 296*n**2 + 124*n - 467*n + 386*n**2 wrt n?\nAnswer: 1364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 3\/2*n**2 - 4 + 1\/3*n**6 + 0*n**3 + 0*n + 0*n**4 + 0*n**5. What is the second derivative of i(a) wrt a?\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 divided by -3407246?\nAnswer: 63\/1703623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12314052 or 12314055?\nAnswer: 12314052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 1525*a**3 - 6*a**2 - 109*a - 9. Let k(l) = 1524*l**3 - 4*l**2 - 111*l - 9. Let j(s) = 2*d(s) - 3*k(s). Find the second derivative of j(p) wrt p.\nAnswer: -9132*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17*a - 35. Let d be n(-5). Let i = -116 - d. Factor -9*x**2 - 9*x**2 + 24 + 12*x - 3*x**3 + 103*x**i - 100*x**4.\nAnswer: 3*(x - 2)**2*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 291 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -99. Suppose -i + 15 = -37. Let k = g - i. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + -2 + 4 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072 - 7682?\nAnswer: -7681.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n + 9*i + 156 = -i, -5*i = -3*n + 33 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 9*l - 15. What is g(5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6583 - 0.0283. Let y = 113.37 + t. Let f = 115 - y. Is -0.049 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*d + 1\/2*d**3 + 11\/2 - 11\/2*d**2.\nAnswer: (d - 11)*(d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/6)\/((-4225)\/39). Let r = 961\/2275 - t. Let i = r + 5\/21. Which is smaller: 0.4 or i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 860634.6t in milligrams?\nAnswer: 860634600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4\/11 + 104*q**3\/11 + 6*q**2\/11 - 28*q - 208\/11 = 0. What is q?\nAnswer: -1, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**2 - 24*t = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26\/10 - (-42)\/105. Solve -p*y - y = -12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 12*p**2 + 32*p - 32. Let h(o) = -o**2 - 3*o + 3. What is -32*h(f) - 3*x(f)?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140 + 221. Calculate the remainder when n is divided by 9 - (3 + 0 + -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296*q = -48*q + 192*q - 13770680. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**7\/840 - q**6\/120 + q**4\/24 + q**3\/6 - 6*q. Let k(p) be the second derivative of d(p). Give k(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 34 + 34 = 0. What is the third derivative of -a**4 + a**4 - 15*a**6 - 7*a**2 + n*a**6 wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6cc5a2 (base 16) to base 3.\nAnswer: -111102011102212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 685218 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4\/13))**45)**(20\/7) assuming s is positive.\nAnswer: s**(-3600\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(0*m - m + 4*m)*(10*m + 0*m - 2*m).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 - 7 + 7 + (-5*o + 2*o + 4*o)*(-2*o + 4*o + 0*o))*(-1 + 3 + 1).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 882 less than -0.12?\nAnswer: -882.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -24. Let z be (t - -4)\/((-26)\/(-65)). Let k be (-4 - -1 - -1)\/(-5). Which is bigger: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0111257728 rounded to five decimal places?\nAnswer: 0.01113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + 1 - sqrt(288) - sqrt(128)*-4.\nAnswer: 1 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 469246401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -140?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 9*l**2 - 9*l - 11. Let h be u(-8). Let d(b) = b**3 + 4*b**2 + 3*b + 2. Let f be d(h). Factor 0*y**f - 1\/3*y**3 + 1\/3*y + 0.\nAnswer: -y*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 119*r**3\/6 + 1267*r + 4. Let n(x) = -116*x. Determine n(q(k)).\nAnswer: -13804*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*m**2 + 21*m**2 - 20*m**2 + 11 + 2*m + 5*m**2 in the form p + t*m + c*m**2 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(-1)\/s)*s**(1\/2))**(2\/23) assuming s is positive.\nAnswer: s**(9\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbq when three letters picked without replacement from {g: 5, q: 3, b: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 40*r - 86. Determine p(18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-57)\/4)\/((-2)\/8). Does 3 divide 24\/(-60) - v\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1069 - -1073. Solve -5 = -5*a - l*d, -13*a + 5*d + 5 = -8*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-45)\/(-20) + -8 + 385\/44. Solve 6*a - 4 = 4*a - o*u, -3*u + 6 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 10342147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 17 - 3 = 0. Suppose -o - t = -57, j*t - 119 = -2*o + 2*t. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 5:57 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 286855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1802.1313 + -1802. Round a to three dps.\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5*g - 20 = 20, 2*g = -p - 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*i - 98*i + 402*i - 105*i - 96*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxpp. Give prob of picking 1 x and 1 p.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xow when three letters picked without replacement from xwooooxowx.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfwd when four letters picked without replacement from wqqqwwwqqqqwfqwwddq?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, -5, -2, -13, 3, -10 in decreasing order.\nAnswer: 3, -2, -5, -10, -13, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**16*y*y\/(y**(-6)\/y*y)*y**(-3)\/y*((y\/(y*(((y*y**3)\/y)\/y)\/y*y)*y)\/(y\/(y\/y**(-6))))**(12\/13) assuming y is positive.\nAnswer: y**(112\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -10936?\nAnswer: -10940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/228 and 109\/85938.\nAnswer: 3265644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**5\/20 - h**4\/2 + 3*h**3\/2 + 4*h**2 - 7*h. Calculate w(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4682, -5316, -5962, -6626, -7314, -8032?\nAnswer: -8786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/2)*j*j)\/j*j)**(2\/13))**(-11) assuming j is positive.\nAnswer: j**(-77\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (138\/161)\/((-1)\/(-7)) - 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*-5*(16\/100)\/2. Suppose -g*b = -0*b - 196. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*w - 30 = 0, 832*o = 836*o - 2*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 239424 and 2491506?\nAnswer: 79728192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 - -13.1. Let h = 0.26 + -12.26. Let v = s + h. Which is smaller: v or 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176839025 divided by 275.\nAnswer: -643051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12660096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -69*k + 51. What is the units digit of z(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 15036 = 4*q, 0 = -3*q + 4*o - 0*o + 11277. Let v = 7982 - q. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 0*i**2 + 0*i - 4 + 1\/7*i**4 + 0*i**3. Solve t(z) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 452 and 1808?\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -1.3. Suppose c + 26 + 16 = 5*u, -2*u + 4*c = -6. Suppose -3*z = -6*z - u. Put v, z, 0.4 in increasing order.\nAnswer: z, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2586, -10357, -23308, -41439, -64750?\nAnswer: -93241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/944301 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 151?\nAnswer: 14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooiiifiio. What is prob of sequence iifo?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*l + 1640 + 40. Suppose 196*r + l = 211*r. What is the fourth smallest value in -1, r, -2\/3, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1430*y**4 + 20*y**2 - 1?\nAnswer: 34320*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -22. Let v be (8\/(-10))\/(4\/t). Suppose 0 = -0*z - v*z + 10. Solve z*y = 6 + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34539 is divided by 8634.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/11*(-60)\/(-40).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*d**2 + 4 - 37*d**2 + 0*d + 22*d**2 + d - 48*d**2.\nAnswer: -92*d**2 + d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -47752\nAnswer: -5\/47752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -395\nAnswer: -4\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m + 31*m - 1122 = -m for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2. Let m(f) = -19*f**3 + 5*f**2 + 32. Let d(v) = -m(v) + 5*t(v). Find the first derivative of d(i) wrt i.\nAnswer: 57*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 1. Suppose 11*y - 65 = 34. Let i(g) = -31*g + 279. Let h be i(y). Sort 1, h, u.\nAnswer: h, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n**2 - 15*n - 1. Let w(o) = 3*o**2 - 8*o. Let x(b) = -2*u(b) + 5*w(b). Let f be x(10). What are the prime factors of (-1 + f)*(118 - -5)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1306517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 12:35 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eko when three letters picked without replacement from qonneoqjnooojojjkej?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22177*r = -22097*r - 880 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9400583 milligrams to grams.\nAnswer: 0.0009400583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*m**5*u - m**5 - 30*m**3*u + 103*m**2*u + m**2 - 2 wrt m.\nAnswer: 360*m**2*u - 60*m**2 - 180*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 205600.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h - 7*h - 2*h + 2*h. Let k(j) be the second derivative of 5*j**3 - 9752*j. Calculate v(k(o)).\nAnswer: -90*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/(-5))\/(-4))\/(1005\/(-98490)).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1.99. Let n = j - 0.39. Let d = -0.2 - n. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -30 + (-1 - -1) + 5 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23301 divided by 1238.\nAnswer: -23301\/1238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/5 - 41*q**2\/5 + 21*q\/5 = 0.\nAnswer: -21, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 36.066283+0.4\nAnswer: 36.466283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h + 125. Sort 1, 0, -1, h in descending order.\nAnswer: 1, 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**3\/2 - 1490*p**2 - 76717*p\/2 + 128499 = 0.\nAnswer: -2954, -29, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -155 + -125454306?\nAnswer: -125454464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1166 + 1172 - x + 11*x**2 + 1202 - 3492 + 2*x to the form j + y*x**2 + w*x and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*q = -4*q - 48, -3*x + 60 = -3*q. Solve x*m + 1 = -16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**4 + 120*v**3 - 573*v**2 - 3828*v - 4356 = 0.\nAnswer: -2, 11, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, j: 3, d: 1, n: 1, x: 6}. What is prob of sequence xxxx?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1024, -223, -5 in ascending order.\nAnswer: -223, -5, 1024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 15, 17, 19, 21, 23?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6.3612 * 18\nAnswer: -114.5016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:06 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.9 - 16.9. Suppose 15*d - 79 = -64. Let f = 3 - 0. Which is the nearest to d? (a) v (b) 3\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3415 by 5.\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 189, 109, 1 in decreasing order.\nAnswer: 189, 109, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/3*15\/2)\/6.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 2*p - 7. What is the units digit of d(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 + 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 6*d**5\/5 + 3*d**2 + 2. What is the second derivative of c(a) wrt a?\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + h + 13 = 0, 0 = -z - h + 5*h + 22. Let v = z + -9. Let x(i) = -3*i**3 - i. Calculate x(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/3 + 9*a**4 + 248*a**3\/3 + 304*a**2 + 384*a = 0. Calculate a.\nAnswer: -12, -8, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*n = 5, 6*x - 2*x + 3*n - 20 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**3 - 7*l**2 + 2*l - 2. Let u(w) = -w**3 - w**2 + w - 1. Let a(b) = -t(b) + 2*u(b). What is the third derivative of a(m) wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57549 + 8020.2?\nAnswer: -49528.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*p - 5*l + 1048, -l = -1. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/175131 and 89\/116754?\nAnswer: 350262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 154*j**2 - 560*j - 1752.\nAnswer: -2*(j - 73)*(j - 6)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 29123 + 29093. Sort v, -5, -2, -1, 4 in descending order.\nAnswer: 4, -1, -2, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18269.\nAnswer: 18269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -78.9082 * -0.1\nAnswer: 7.89082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -4, -13, 0.5, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d + 10 = 0. Let z be (-20)\/3*3\/d. Find the first derivative of 12 - m**2 - 9 - z wrt m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-2 + -11 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*s + 1152. Suppose -2*b = 10*b - s. Suppose -2*u - u - 5*r + 96 = 0, u - b = r. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.3 (b) -5\/7 (c) 1\/3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20421070.505 plus 0.2?\nAnswer: 20421070.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5695 + 5690. Sort w, -6\/49, 0.4, -2\/3 in ascending order.\nAnswer: w, -2\/3, -6\/49, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80*x**3 + 624*x - 1248*x + 627*x - x**4 - 23*x**2 wrt x.\nAnswer: -24*x + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 3*j**3 + 5*j**2\/2 + 11. Let n(d) = -4*d**2 - 2*d. Let z(v) = 5*n(v) + 2*q(v). Let k(a) = -a + a + 4*a. Determine z(k(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-4)\/6)*-2. Let u = -3 + j. Suppose u = -6*b + b. Is b greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**3*u**2 + 7*p**3 + 7*p*u**2 - 1814*p*u - 4864*p - 13922874*u**2 wrt u.\nAnswer: -6*p**3 + 14*p - 27845748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 59.94724mm?\nAnswer: 0.00005994724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.2816.\nAnswer: 0.2816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -69254 from 54486.\nAnswer: 123740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1109.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14304551 + 221?\nAnswer: -14304330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + 1 + 4 + (((sqrt(187) + sqrt(187)*-1 - sqrt(187))*-1)\/(sqrt(132)\/(sqrt(12)*1)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -273, 2, -0.42, 0.222 in decreasing order.\nAnswer: 2, 0.222, -0.42, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1100) + (sqrt(1100) - (sqrt(1100) + sqrt(1100)*-1))) + 4 + sqrt(1100) + -4.\nAnswer: -90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-15))\/(5\/9*66\/(-715))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 g, 1 w, and 1 u when four letters picked without replacement from pwppppugwlgggup?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*i + 2*c**3*u**2 + 42494*c**3*u + 5*c**2*i*u**2 + c**2*i*u - c**2*u**2 + 177*c**2*u + c*u**2 wrt c?\nAnswer: -6*i + 12*u**2 + 254964*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17742510 rounded to the nearest one hundred thousand?\nAnswer: -17700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j = 76. Suppose -3*r - 6 = -0*r, 2*r = 3*h - j. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3539 - 24*n**4 - n + 0*n + 4*n**2 - 3539 as z*n**2 + m*n**4 + r*n + w*n**3 + t and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 229\/90 + -2\/45. Suppose -2 = 3*w - 8. Let i be (w\/(-3))\/(8\/(-36)). Which is smaller: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2887, 2900, 2913?\nAnswer: 2926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q, -3*l - 1 = -4*q - 4. Solve -2*t + 1 + l = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1) + 1003\/(-91) + -607 + 615\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4*(-2)\/16)\/(2\/724)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45 - 0?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, q: 9}. Give prob of sequence kq.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19637 is divided by 9807.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51810 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 4*w + 105 - 5, 0 = 5*w - 25. Let y be (4 + 0)\/(-24)*-6*g. Suppose y*s - 6*s**5 - 2*s**5 + 4*s**4 - 16*s = 0. What is s?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39182762?\nAnswer: 2, 97, 201973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*2*-6)**2 - (4 + sqrt(468) + -1)**2 - (sqrt(468) + (sqrt(468) + (sqrt(468) + sqrt(468)*-2 - sqrt(468)))*5)*6) + -1 + 3.\nAnswer: 108*sqrt(13) + 66917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -44, -89, -152, -233, -332?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 16 - (-2 + 3 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4470 (base 9) to base 14.\nAnswer: -12bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 671233045 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20143868 is divided by 262?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/2565808 and -3\/1328722?\nAnswer: 74408432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*t - 4*j + 2*j, 0 = t - 4*j + 15. Suppose -k + 216 = 26*k. Solve k = t*l - 5*h - 2, -3*l - 2 = h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*d - 249*d - 728*d - 1143*d - 3*d + 4*d - 2*d - 2*d - 2*d + 6*d + (0 + 2 + 0)*(2 + 2*d - 2).\nAnswer: -2163*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 23*s = -19. What is the third smallest value in 0.04, -2, -4, s?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11704*t + 11640*t - 704 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 80 - 47. Let x(v) = 7*v**3 - 4*v**2 + 4*v - 4. Let t(h) = 22*h**3 - 11*h**2 + 11*h - 11. Determine m*x(g) - 4*t(g).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mocs when four letters picked without replacement from {s: 9, k: 2, c: 1, m: 1, o: 3, w: 2}.\nAnswer: 1\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1911 - 1016. Let o = u + 2421. Suppose o = 28*g - 24*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3967.761ml in litres?\nAnswer: 3.967761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*o**2 + 4*o**2 - 18*o**2)*(-3 + 12*o**2 + 3 + (o - 6*o + 4*o)*(-2*o - 2*o + 2*o)) to l*o**4 + i*o**2 + h + p*o**3 + g*o and give l.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z + 0 - 23 + 5*z**3 - 19*z - 17 - 5*z**4 + 30*z**2.\nAnswer: -5*(z - 2)**2*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-7\/4)*a*a*a**(-9)*a)\/(a\/((a**(3\/5)\/a)\/a)*a\/a**6*a))**(2\/63) assuming a is positive.\nAnswer: a**(-41\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g**2 + 23*g - 40. Determine u(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/(d**(2\/23)*d))*d*((d\/((d*d**(-8)*d)\/d))\/d)\/d*d**(2\/27)\/(d\/(d*d**(1\/3)*d)) assuming d is positive.\nAnswer: d**(5896\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - l + h = 3, 0 = -5*l + 3*h - 2. Calculate the remainder when 18 is divided by (l - -3)\/(2\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 80743, 3, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2418*f. Let y(i) = -313*i. What is u(y(m))?\nAnswer: 756834*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 8*z - 10 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4192\/(-256))\/((455\/(-104))\/35)?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -599\/6, 10, 6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 6:32 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -8708 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 2*b - 1. Suppose 2*h - 12 = -2*h. Suppose 4*j - 4 = h*j. Suppose d = 0, j*s + 3*d = -0*d - 8. Determine u(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139858 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.01951 times 4.6\nAnswer: -0.089746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/(1\/(-10)). Suppose -h - 20 = -4*s - 3, -r*h = -2*s + 31. Factor 0*c**4 - 8*c**3 + s*c**4 + 0*c - c**2 - 8*c**4 + 2*c.\nAnswer: -c*(c + 1)**2*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**6\/2 - 9*f**4 + 16*f**3 + 1177. Find d such that m(d) = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1197994 and 0.038?\nAnswer: 45523.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6519473 or -6519474?\nAnswer: -6519473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12\/11 (b) 51 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -17 (b) 2\/9 (c) -2\/29 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 424787*p**5 - 125334*p + 2 wrt p.\nAnswer: 8495740*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66047035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1844752\/224 - 3\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*g**2 + 498*g**2 + 357381*g**3 - 357380*g**3 - 234*g**2.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t + 12. Let r be l(4). Let c(p) = -p**2 + 3. Give c(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1658 is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 4:38 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + x - 5*x)*(10 + 13 - 8)*(1 + 2 + 2).\nAnswer: -150*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by 13\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/197043 and -37\/1617?\nAnswer: 1379301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 3*z**2\/2 + 11*z - 82. Determine n(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - 2*j**4 - 2*j**2 + (5 - 5 - 2*j**3)*(-j - j + 3*j) + j**2 + j**4 + 3*j**2 + 5*j**4 - 21*j - 11*j**4 + 21*j.\nAnswer: -9*j**4 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-62)\/8 + -3)*-4.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + 46 + -40.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-3) - 4) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*w + 206*w = -116*w - 87*w - 42840 for w.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*b**2*i**3*z + 2*b**2*z**2 - 9*b**2 - b*i*z + 2*b*i - 2*i**3 - 233*i**2*z**2 wrt b?\nAnswer: 44*i**3*z + 4*z**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, k: 3, y: 7, m: 2}. What is prob of picking 1 m and 1 k?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, d: 2, v: 2, j: 4, n: 1}. What is prob of sequence vdlj?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 718970 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67018 by 7.\nAnswer: 9574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422774061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2268985 + 2268985 + 6416*a as g + q*a and give q.\nAnswer: 6416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 688.933 micrometers in millimeters?\nAnswer: 0.688933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -47 + 0*n + 2*n**2 + 104*n**3 - n + 47. Let h be l(1). What is the greatest common factor of 42 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 5 + (-209)\/33)*78.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/35? (a) -6 (b) -8 (c) 141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4*24.96\nAnswer: 99.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - 15*c**2 - 84*c - 396. Calculate w(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 354953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15025300 rounded to the nearest one hundred thousand?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.72 - 2819.\nAnswer: -2819.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 53 = -3*k - 9, 38 = 3*s - 2*k. Suppose -n + s*n - 7056 = 0. What are the prime factors of ((-8)\/12)\/(n\/(-780) - -1)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2572188 bigger than -2572236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15804 and 439?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-54) + 20\/(-18)*-3. Sort 1, i, 13.\nAnswer: 1, i, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 171.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1 + 0 + (-71 - (-20 + -45))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 739*x**2 + 7*x - 2. Let q be t(-3). Suppose 0 = 30*y - 34*y + q. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 30030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-10))\/((-4)\/20). Suppose 0 = -h - 0*h + j. Put 3, h, 4 in descending order.\nAnswer: 4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + z + 7, 113*p - 115*p + 18*z + 52 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 1. Let x(s) = 1764*s - 4. Calculate -5*h(v) + x(v).\nAnswer: 1769*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/4 + (-6 - -10) + 2054\/338?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r + 1709 = -26*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 8*o - 10*o - 9 + 16*o. Let j be s(13). Solve -j*b = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/390)\/(1\/((-6)\/(-3)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6370015\/35 - (-9)\/(-21). What is z rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 - 13*o - 6. Give u(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/4 of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 37*n**3\/3 - n**2 + n + 6. Let i be h(1). Let d = 35 + i. Round d to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85084285.\nAnswer: 5, 11, 13, 127, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1735512.51 - 1829993?\nAnswer: -94480.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218974098.\nAnswer: 2, 3, 7, 131, 39799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (34862*k - 118112*k + 11682*k - 198837*k)*(-2 + 0 + 4) + (4 - 1 - 4)*(-k - 2 + 2) in the form l*k + j and give l.\nAnswer: -540809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -61.\nAnswer: -12.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**5\/3 - 2348*d**4\/3 - 22159*d**3 - 121204*d**2\/3 + 66476*d\/3 + 41184 = 0?\nAnswer: -26, -2, -1, 1, 2376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = 120*r - 693674. What are the prime factors of r?\nAnswer: 2, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22, -5\/2, 2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -4, -2\/7, 2 in decreasing order.\nAnswer: 2, 0.06, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13414, -53655, -120722, -214615, -335334, -482879, -657250?\nAnswer: -858447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 647400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s - 21204 = 43*s - 79*s. Calculate the remainder when s is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 8*g**2 - 12*g + 19. Give w(8).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1966 - 1965.999960725. What is a rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68271 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.36 to 2 dps.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9*z + 3 - 4 + 8*z. Let j(r) = -2*r**2 - 2*r. Let d(l) = -11*l**2 - 12*l. Let y(i) = d(i) - 6*j(i). Calculate x(y(g)).\nAnswer: 17*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 7*d + 2)*(3*d - 2*d - 2*d + (-1 + 1 + 2*d)*(0 + 2 + 0))*(-4 + 5 + 0).\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454293 is divided by 1181?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 22. Suppose 4*t = -23 + l. Let s(n) = 3*n**2 - 9*n - 11. What is the tens digit of s(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -417\/17, 0.5, 75, -267?\nAnswer: -417\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284848 is divided by 4069.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g + g + 158 - 3*g + g + 3*g. Let c(x) = -2*x. Calculate s(c(a)).\nAnswer: 2*a + 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 + -19. Suppose 2*g - 79 = -5*t, 5*t - d = -3*g + 2*g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -7*i + 254. Suppose i - 12 = 5*y. Suppose p - 183 = y*r, 0 = 3*p - 0*r + 5*r - 569. List the prime factors of p.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -526034, -1052115, -1578196?\nAnswer: -2104277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50045, 50067, 50089?\n\"Answer: 22*p + 50023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/11091615 and 47\/106557?\nAnswer: 122007765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -794 + 812. Calculate the lowest common multiple of p and 342.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 (base 10) to base 5\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-850) + (-15496)\/136)\/((-5)\/(5\/(-2)))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.77 + -0.67. Let w be ((-2)\/(-3))\/((-1)\/(-3)). Which is the nearest to v? (a) w (b) 2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/4 + 27*x**2\/4 + 51*x\/2 + 18.\nAnswer: -3*(x - 12)*(x + 1)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 5*u + 11, 159*u - 17 = 5*c + 163*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 8, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 41*v - 5836. Calculate u(143).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10696528 divided by 1337066\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*((5 - 1 - 2)*(4 + 4*u - 4) + 3*u - 1 - 4*u + 0)*((1 + 6 - 1)*(6 - 3 - 2) + 8 - 73 + 32).\nAnswer: -189*u + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h. Suppose -4*u + 2 + 7 = 5*x, -2*u = -3*x + 1. Let c = 1239 + -1238. Let n(w) = -u + 2*w + c. Determine n(r(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 4*r - 2*r + (2*r - 43 + 42 + r)*(-5 + 3 - 3))*(-1 + 0 + 5) + (4 + 1 - 3)*(-2*r - 2 + 2).\nAnswer: -56*r + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 3*g**2 + 8 - 2*g**2.\nAnswer: -g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -30301312?\nAnswer: 30301321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5003, -5001, -4999, -4997?\nAnswer: -4995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 468110, 468111, 468112?\nAnswer: 468113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 936376 and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5500979 is divided by 732?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 12:56 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -100*-1623\nAnswer: 162300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6409 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -91612060 to the nearest 1000000.\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -37. Suppose 3*h + r*y = 5 - 38, 0 = 3*h + 4*y + 30. Let v(a) = -a**3 - 7*a**2 - 5*a + 6. Determine v(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 581951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/15)\/((-6)\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39237 - 35641. Calculate the remainder when p is divided by 171.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -747 - -768. Calculate the remainder when 75 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2. Suppose 5*a - 17 = -3*p + 10, 3*a + p - 17 = 0. Let s(n) = n**3 - 7*n**2 + 5*n + 2. Let m be s(a). Put x, -1, m in descending order.\nAnswer: x, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1298)\/(-177))\/(2\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 9*t**2 + 8*t - 2. Give l(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 (base 14) in base 10?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -6*n**5\/5 - n**2\/2 + 7. Find the second derivative of y(q) wrt q.\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 2\/5, -0.4, 0.21, -2880?\nAnswer: -2880","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33898124?\nAnswer: 2, 13, 103, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 0.1, -0.1, -21\/29?\nAnswer: -21\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/4, 5, -0.2, 18\/25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1257 or -1252?\nAnswer: -1252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(500) + 1 + sqrt(500) + -4))**2.\nAnswer: -4320*sqrt(5) + 72324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5 = 13. Suppose -5*o + 5*w - 9 = 1, 4 = -4*o + a*w. Suppose -3*r - r = 0. Solve 3*y = r, -2 = i + y - o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 14*r - 6. Let l(o) = -10*o + 3. Let y be l(0). Let b(q) = 2*q + 1. Let p(c) = y*b(c) - x(c). Let i(v) = -2*v. Give i(p(z)).\nAnswer: 16*z - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46519*i**2*o**2 + 316143385*i**2 - 19*i*o**2 - 3*o wrt o.\nAnswer: -93038*i**2*o - 38*i*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143.5731 - 197.57392. Let s = -54 - w. What is s rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 983659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 4\/13, -2\/7, 0, -0.2?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 2 + sqrt(320))**2*-1.\nAnswer: -1284 - 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 553 + -398. Let g = 820 - i. Is 48 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60130 + 4?\nAnswer: 60134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -42*c**3 - 2*c**2 - c. What is the tens digit of j(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 - 26. What is the remainder when (z - 2) + (4 - 7) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34858 or 34860?\nAnswer: 34858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, 2\/5, -0.3 in decreasing order.\nAnswer: 2\/5, -0.3, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 50*v**2 + 615*v - 1. Determine p(28).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (71\/1278)\/((-5)\/4)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -0.2. Let x = -8937\/12320 + 1\/2464. Let i = x + 7\/20. Which is the nearest to o? (a) i (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 1\/84*y**7 + 0*y**4 + 0 + 0*y**2 + 138*y + 0*y**3 + 1\/12*y**6 + 3\/20*y**5. Suppose n(m) = 0. Calculate m.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -71 and -11.1.\nAnswer: -82.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (35 - 12) + 2\/1. Is 69 a factor of 29490\/q + 51\/(-85)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2139, 2137, 2135?\n\"Answer: -2*r + 2141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 12 - 8*z**2 - 5*z**2 + z**3 - 14*z + 0. List the prime factors of k(14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -301566\/143 or -2109?\nAnswer: -2109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4806*u + 210736 + 77624 for u.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 - 23. Suppose -49*b + u*b - 56 = 0. Solve 6 = r + b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 2.5. Let d = -2.09 + x. Let v = 0.01 - d. Is 4 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24008\/(-6) + (-42)\/63. Let f = d + 33. Is 18\/45 - f\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -702.424?\nAnswer: -210.7272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-355)\/126 - (39\/7 + -5) and 41\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.32 and 43.889?\nAnswer: -14.04448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2498*p - 2498*p - 31*p**2 + (-p + p - 2*p**2)*(3 + 1 - 3) - p**2 + p - p in the form y*p**2 + t + x*p and give y.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 5. Let m(u) = -u**3 + 7*u**2 + 2*u - 2. Let g be m(7). Let f = 9 - g. Which is the third biggest value? (a) k (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74.4 and 6.\nAnswer: -446.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/5978?\nAnswer: 1\/5978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*c - 11. Let o = 14 - c. Suppose -o = 3*j - 78. Solve 3*w + 2*q = -j, -4*w + 4 = -4*q - 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/4 + 23*h**4\/4 - 63*h**3\/4 - 787*h**2\/4 - 322*h - 147 = 0.\nAnswer: -3, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/27 and 46\/274347645.\nAnswer: 2469128805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 + 88 - 44)*(-2*p - 5 + 5) + 3*p - 3*p - 4*p + (3*p + p - 3*p)*(3 - 3 + 1).\nAnswer: 75*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 26. Let t be (1*1\/(-1))\/(2\/d). Let -10\/7*i**4 + 6\/7*i + t*i**2 - 6\/7*i**3 - 4\/7 = 0. Calculate i.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4199131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 12. Suppose -5*g - 35 = -5*h, h + q*g = -h. Suppose -13*n = -15*n + 8. Solve -h*j + 14 = n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**24*w**(-1\/37))\/(((w\/(w*w**(-6\/11)))\/w)\/w**(1\/3)))**22 assuming w is positive.\nAnswer: w**(60466\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - 7. Let t be x(5). Suppose -5*a + t*a = -118. Suppose 0 = 5*q + s - 97, 0 = -2*q + s - 5*s + 28. Calculate the remainder when a is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40053 in 4, -4\/5, 0.4, -2\/11, -4\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 469 and -0.5.\nAnswer: -234.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*h**5 + 3*h - 13*h**5 + 10*h wrt h?\nAnswer: -260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*g - 47*g = 62*g - 810 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muh. Give prob of sequence mh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -386*w**2 + 4*w**3 - 6*w**3 + 384*w**2 - 3*w**4 - 3*w**4 + 2*w**4 - 3*w**4 + (w + w - w)*(3*w**3 - 4*w**3 + 2*w**3) + 5*w**4 - 5*w**4 + 4*w**4.\nAnswer: -2*w**4 - 2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3\/2 + 16767*x**2 - 93643659*x\/2 - 187555686 = 0 for x.\nAnswer: -4, 5591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35333\/1782 + -5\/891. Let q be (-5 - -462)\/(2*6). Let z = q + -171\/4. Find the common denominator of r and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6 = 2*v. Let o = 1184 - 1184. Let o*t + 0 + 0*t**3 - 2\/7*t**v + 2\/7*t**4 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 448953041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2234 + 2227. Let n(b) = -b**3 - 9*b**2 - 11*b - 15. Give n(d).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 668*s**3 - 2*s + 1. Is h(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnninkckniiinnkpk. Give prob of sequence cp.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.24? (a) 2\/103 (b) 0 (c) 8 (d) 16\/3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from ggghhgu?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.18 + -0.18. Which is the biggest value? (a) 0.2 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 671 and 19359692?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3004800 and 13718400?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 7*w + 4 + 2*w**2 + 1. Let s(z) = -3*z**2 - 6*z - 4. What is 5*b(y) + 6*s(y)?\nAnswer: 2*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -9) + 145\/638*-36?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16345803 (base 9) to base 5.\nAnswer: -4043214202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75030 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: Suppose 0 = -0*a - 4*a - 60. Let v = 24 + a. Suppose 0 = 8*h - 22 - 106. What is the remainder when h is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 5*r + 0*r)*(r**2 + 1 - 1) + (-r - 2*r**2 + r)*(-4*r + r + 2*r) + r**3 - 2*r**3 - 7*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2*2 + -1. Let f be ((-1)\/j)\/(2\/364). Suppose 6*b - 2*b = 52. What is the highest common divisor of f and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*u + 4*w + 68, -2*u + 32 = -4*w. Let o be 3\/6*-10 + -2. Let z = o + 12. Calculate the smallest common multiple of z and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100276949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11721 at most as big as 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 61560 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*s - 4*r, 0 = 3*s - 3*r + 2 + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2255*h + 132 = 2237*h - 102 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -2 (c) -2\/19 (d) 5\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/8, 3, -0.3, 2.3, 4, 2\/15?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(m*m**21\/m*m*m)))**(-11\/4)\/(m**(-1\/16)*m**(-31)\/m))**(-3\/31) assuming m is positive.\nAnswer: m**(1365\/496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/109936503 or -1?\nAnswer: 4\/109936503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-12)\/26)*54 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207979 (base 10) in base 7?\nAnswer: -1524232","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -4*f - 9*n - 52, 3*n = 4*f + 52. Let g(p) = p**2 + 12*p - 6. Give g(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 8*r - 34 = 0. Let j = 1729 - 1725. Calculate the remainder when r is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 17*n**2 - 23*n - 7. Calculate the remainder when v(-16) is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 + 180. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 2*(-118586)\/40. Let a = y - -5936. Find the common denominator of a and -25\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 31 = -5*s, 0 = 2*p + 4*s + 12 - 32. Suppose -2*q - 3*a + 3 = 0, -p*q + 7 + 0 = 5*a. Solve -4*u + q*u = -o, -o = -5*u + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45 - (55\/(-15) + (-2)\/(-3)). What is the greatest common divisor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 1. Let s be 8\/(-6)*(7 - 13). Let d = s + -7. Let w be x(d). What is w rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 22632 + 23055. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-108)\/(-48)*(-292)\/(-3). Suppose 220*p = b*p + 628. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 23*k - 14. Let i be q(17). Let s be (-80318)\/(-462) + (-4)\/6. Let c = s - i. Sort -5, 3, -3, c.\nAnswer: -5, -3, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 32 = -5*k. Let r be -10 + k - 449\/(-222). Let c = r + -1511\/555. What is the common denominator of c and 23\/26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110539931?\nAnswer: 2203, 50177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 412424583, 412424573, 412424557, 412424535?\nAnswer: 412424507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-225)\/(-36) + -5 - ((-2235)\/(-60) + -9).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 12:16 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/162 and 17\/8.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 51789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-4)*(2 + 0). Suppose 16 = -4*o, 0 = -5*z + 4*o + 17 - 51. Let b = 9 + z. Is k smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (623\/(-14))\/(-1 - 29\/(-28)). Let u = -839 - q. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 0 + 6 - 109*o as f*o + g and give f.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133*b + 136*b - 2*p + 1, 2*b + 7*p - 10 = 11*p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Suppose -5*o - 5 = -m*o. Let v = o + 2. Sort -2, -3, v in descending order.\nAnswer: v, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22, -43, -64, -85?\n\"Answer: -21*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -100021201012?\nAnswer: 100021201003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**5\/30 + n**2. Let w(q) = -q**2. Give i(w(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*l = 7845 + 3270. What is the remainder when 141 is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552188569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -18 - (-12 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.3 and 33.4.\nAnswer: -76.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6132)\/175*(-10)\/(-4). Let u = s + 88. Let r(g) = -g + 3. Let a be r(3). Which is smaller: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00103061 to 5 dps.\nAnswer: -0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.1 (c) 3\/58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. What is the first derivative of 6*b + s - 3*b + b wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 15*i. Let y(u) be the first derivative of 14*u**3\/3 - 190. Determine y(l(n)).\nAnswer: 3150*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, h: 4, f: 10, w: 4}. Give prob of picking 2 h, 1 w, and 1 f.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1456236 is divided by 978?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + j + 228 = -2*j, j + 307 = -4*c. Find the common denominator of -9\/2 and c\/(-10) - (-1)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u. Let j(p) = 4*p + 35. Let y(m) = 5*m + 34. Let f(g) = -3*j(g) + 2*y(g). Calculate f(t(q)).\nAnswer: -4*q - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**3 - 733*f**2 + 110*f. Let b(y) = 14*y**3 - 2200*y**2 + 312*y. Calculate 6*b(x) - 17*l(x).\nAnswer: -x**3 - 739*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 682638168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from hdddhhdhddhhddhdddd.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - -9) + (1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -1. Solve -l + 5*l = s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + a**2)*(123*a + 1326*a - 344*a) - 4*a**3 + 11*a**3 + 2*a**3 as w*a**3 + x + l*a + r*a**2 and give w.\nAnswer: 1114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {o: 2, p: 5, z: 1, u: 2, b: 8}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24579\/(-7) - 2\/(-7))*-1. Let u = d - 2252. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 5, 4, -3 in descending order.\nAnswer: 5, 4, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1061, 4238, 9541, 16976, 26549, 38266?\n\"Answer: k**3 + 1057*k**2 - k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101703069, 101703071, 101703073, 101703075, 101703077, 101703079?\nAnswer: 101703081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**3 + 1575*z**2 - 1981*z - 2356. Determine l(-395).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 314?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = s + 4*h, 2 + 0 = 3*s - 2*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 2 - 2)*(2*g + 0*g - 3*g)*(5 + 5 - 3)*(1 - 3*g - 1).\nAnswer: 168*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1100 + 1972. List the prime factors of g.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1311131 (base 4) to base 14\nAnswer: 2a4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7319.852 meters?\nAnswer: 7319852000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-48))\/(18\/216*-6)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(175) + sqrt(175)).\nAnswer: 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5 - 1 + 4*x**2 + 7*x - 3*x**2. Let n be a(-8). What is the third derivative of -2*u**3 + 0*u**2 + u**3 - u**n wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, k: 5, j: 3}. What is prob of picking 2 b and 1 j?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/19))**(-42)\/(c\/(c**15\/c)*c*c**(-30)) assuming c is positive.\nAnswer: c**(840\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 8*u**5\/15 + 4670*u**4\/3 - 29198*u**3\/15 + 1168*u**2\/3 = 0.\nAnswer: -2920, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231936407.\nAnswer: 231936407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 80*k**3 + 42*k**3 + 41*k**3 - 1.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127330497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 66\/9605 and -43\/91460.\nAnswer: 10334980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -14*q**2 + 13*q**2 + 17*q**2. Let r(l) = -6*l**2. Determine k(r(t)).\nAnswer: 576*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*t + 132 = -95, -4*t = -16. Let o = -125 - -505. Let d = o - a. What is the remainder when d is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(605)*-1 + -5 + -4 + (0 + sqrt(5) + -2 + sqrt(5) + -3 + -5)**2) + 3.\nAnswer: -441 + 204*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1727\/(-55) - 30\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*x**2 - 71 + 125 + 86*x**2 - 5*x - 54 + 150*x**3.\nAnswer: 150*x**3 + 2*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - t)*(2*t**3 - 4*t**2 - 5 + 5).\nAnswer: -2*t**4 + 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 287 = 49. Let o = s + 115. Solve 0 = -o*m + 7*m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 20*q**2 + 18*q - 3. Determine l(-19).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -4. Let p = 0.7 - 0.7. Which is the closest to u? (a) p (b) -2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4767612 is divided by 1588988.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:19 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 1, -3, 119 in increasing order.\nAnswer: -3, 0, 1, 5, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fge when three letters picked without replacement from mmxgexmmmmxmxgxxmfm.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -23 + 68. Let c(x) = -x**3 + 4*x**2 + 7*x - 5. Let d be c(5). Suppose -d*g + 356 - 41 = 0. Calculate the greatest common factor of g and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1018420 to the nearest 10000.\nAnswer: -1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 431363 (c) 0.06 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 5. Let g be q(6). Suppose -8*i = -5*x - 9*i + 2, 3*i + 10 = x. Let d be -1*(2 - (-1 - -2)). Sort d, x, g in descending order.\nAnswer: g, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 6*l. Let q = -8 + 8.4. Is q < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18656?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 4*x**2 - 11*x. Determine l(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, l: 1, u: 2, r: 2, y: 4, j: 1}. What is prob of picking 1 u and 1 n?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -30 + 8*v**2 - 12*v + 9*v - 3*v**2 + 8*v = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.71 + -0.39. Let o = j + 4. Which is the biggest value? (a) 2 (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -11*o - 430. Is o + -3 + (-4 - -10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.22.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 1:58 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Expand (-t**3 + t**3 - 2*t**3)*(-970*t**2 + 3342*t**2 + 1173*t**2).\nAnswer: -7090*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98*(-1)\/(-126)*27.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 7) in base 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2*r)**(-2)*r**(-1\/7)\/((r\/(r*r*r**7*r*r*r))\/r) assuming r is positive.\nAnswer: r**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1107 + 1107 + 2*h to the form u*h + b and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**8\/26880 + t**6\/960 + t**5\/240 + t**4\/8 + 9*t**2. Let x(u) be the second derivative of b(u). Let x(k) = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 at least as big as -0.21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, 11\/5, 1\/4, -0.086, 68?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3589, 7181, 10773?\n\"Answer: 3592*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*((-700)\/25)\/(-7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 4:58 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5736*t + 2*t**2 - 3*t**2 + 2063*t as b + a*t**2 + x*t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 412 and 1.8.\nAnswer: 413.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l - 21. Let q be d(13). Which is the third biggest value? (a) -0.3 (b) q (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/5)\/(-5*5\/(-125))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024527227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -926a3 (base 14) to base 13\nAnswer: -c4614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -133? (a) -0.1 (b) 21\/5 (c) 12\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 7908\/(-720))*3\/168*980\/56?\nAnswer: -1\/192","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1056 - 2099 + 1058)*(-6*l + l + 7*l + 9).\nAnswer: 30*l + 135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1507532 and -71\/16536.\nAnswer: 9045192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 202262517 - 4?\nAnswer: 202262513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91)\/(-15) - 9\/(-15)) + -7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 466 + -468.17. Let p = 0.17 + w. Put -2\/7, 1\/3, p in decreasing order.\nAnswer: 1\/3, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10888 = 2*p - 0*p + 10898 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.9? (a) 74 (b) -0.2 (c) -22\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 6*x**2 - 6*x + 10. What are the prime factors of k(-6)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 7*i**2 - 11*i - 14. Let z be p(-7). Let r = z - 47. Calculate the highest common factor of 32 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 25. Let b be z(15). Suppose -2*k = 5*s - 18, 0*s + 3*s - b = -k. Solve k*h - 3*a + 3 = 19, 4*h + a - 16 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117664008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-36)\/20)\/(-3))\/((-627)\/17765)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(425)*3)**2.\nAnswer: 11475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2548 = 4*b - w + 925, 4*b = 3*w + 1613. Calculate the remainder when b is divided by 101.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 = -3. Let z = i + 0. Suppose z*p - n = 2*p + 153, p = -5*n + 67. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2 + 2*w - 4. Let l be k(4). Suppose 0 = 5*o + 9 - l. Solve 3*p + 4*i = 13, -5*i + o = 4*p - 2*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 22222?\nAnswer: -22221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5}. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-20245.\nAnswer: -263185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89920\/9 or 9991?\nAnswer: 9991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - -40 - (8 + -6 + 2 + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(7) + sqrt(7) + -1)*-1 - -5*sqrt(175))*5 + 1))**2.\nAnswer: 49680*sqrt(7) + 3333996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-3 - 2) + (-441)\/(-90)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 246 = -21. Let m = 72 + 0. Calculate the remainder when m is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/280388875 and 37\/2725?\nAnswer: 280388875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1814578.\nAnswer: 2, 41, 22129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**12)\/l**4)**(16\/7) assuming l is positive.\nAnswer: l**(-240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 9) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539)*1 + (sqrt(190)*1)\/sqrt(10) - (2*sqrt(2736) + sqrt(2736) + sqrt(2736))*-2)*-4)**2.\nAnswer: 3415744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -92.74984 rounded to 1 decimal place?\nAnswer: -92.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + (-1*sqrt(448) + 0 - sqrt(448)) + 5*(1 + sqrt(448))*-2)**2.\nAnswer: 11520*sqrt(7) + 258948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.36 - -0.16. Which is smaller: -7\/3 or y?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -15*f + 497. Determine t(29).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 9. Let g be 308\/(-20) - t\/(-25). Let x = 21 + g. Let k(q) = -q**2 + 7*q + 4. What is k(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 10:51 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28590491 is divided by 203.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*r**2*w + 16*f**2*u*w - 2*f**2*w + 10*f*r**2*u - 17*f*r*u*w + f*u*w + 4*r**2*w wrt r?\nAnswer: 4*f**2*w + 20*f*u + 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 613352161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 30\/4 - 700\/100\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/(-64))\/(15\/(-8)). Which is the third biggest value? (a) -51\/7 (b) 3\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 2)*(4 + 2*w - 4) to the form t + h*w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10248 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/43067 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45344 + 97*q**3 + 75*q**3 - 45344.\nAnswer: 172*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j. Let l(w) = 7*w + 1. Let m(s) = s**3 + 6*s**2 + 2*s - 6. Let r be m(-5). Let v(a) = r*p(a) + 4*l(a). What is the derivative of v(i) wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*o - 708 = -2*f - 386*o, 0 = -3*f - 4*o + 152 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37674 divided by 42.\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 76812493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6\/13, 5, 2\/23, -3\/4 in ascending order.\nAnswer: -3\/4, -6\/13, 2\/23, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 4*r + 12 = 0, -3*u + 11 = -354*r + 353*r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42969*f - 42969*f + 4*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 4. Let u(a) = -340*a**2 - 326*a**2 + 765*a**2. What is u(p(w))?\nAnswer: 99*w**2 - 792*w + 1584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 39. Let m be (-2*w\/(-10))\/((-1)\/5). Solve 0 = 2*c + m*c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/191646 and -151\/3042.\nAnswer: 191646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 666546834, 666546838, 666546842?\n\"Answer: 4*o + 666546830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4)\/(18\/(-4)). Suppose -4*f + 0*f = 4. Let a be f*3\/(-6)*2. What is the smallest value in a, -4, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4145 - 4142. Solve -9*b + t = -6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2500*(412\/20 + -1). Round b to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101101110000011011010 (base 2) to base 9\nAnswer: -2734648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7280 = 7280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709731 is divided by 87?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -9. Let p = 77\/15 + -19\/5. Let v = 1\/262 - 531\/1834. What is the closest to m in 1, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0 - 4 + 3641666*i**3 - 3643327*i**3.\nAnswer: -1661*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -184*o + 13*o - 33*o + (1 + 5 - 4)*(3*o - o - 4*o) - 3*o + 2*o + 3*o to the form s + g*o and give g.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.9620659 micrograms?\nAnswer: 962.0659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 - -119. Let z be (7\/112*4)\/(v\/8). What is the closest to 0.2 in -0.4, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 4*k = -19*s + 10148, 0 = -2*s + k + 5062. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1849, -1821, -1767, -1675, -1533, -1329, -1051?\n\"Answer: 2*b**3 + b**2 + 11*b - 1863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4215 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1850 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/(-26)*((-83)\/9 + 7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -333004 + 3031?\nAnswer: -324423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.5 (b) 15 (c) -3 (d) -395\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkk when three letters picked without replacement from mkkkkkkk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4120455, 8240934, 12361413, 16481892, 20602371?\nAnswer: 24722850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123.3 + 122.3. Is -256 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2962, -2165, -836, 1025?\n\"Answer: 266*n**2 - n - 3227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 403148 by -1.\nAnswer: -403148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1237 + 22911?\nAnswer: 21685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x**(-1\/12))**6\/((x*x**(-2\/7))**(-4\/3))**(-39) assuming x is positive.\nAnswer: x**(-513\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*z**5\/7 - 10728*z**4\/7 - 475204*z**3\/7 - 7109520*z**2\/7 - 441408*z - 340736\/7.\nAnswer: -(z + 44)**3*(9*z + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**13*k)**(-2\/7)*(k*k\/k**(1\/13)*k)**(-31) assuming k is positive.\nAnswer: k**(-8636\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/170 and 97\/6.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/9 greater than 888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 535.5 or 2?\nAnswer: 535.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m\/(m**(3\/7)\/m))*m*m)**(-33)\/(m**(2\/5)*m**20) assuming m is positive.\nAnswer: m**(-4674\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2509 - 2381. What is the greatest common factor of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/15 - (-1128)\/(-15). Let y = g + 55. Is (-4)\/10 + (1952\/y)\/(-4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10))\/(18 - 20) + 368\/640?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-10)*b)\/b*b*b**(-5)*b)\/(b*b*b*b\/b**20*b*b**(-12)))**43 assuming b is positive.\nAnswer: b**645","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15482 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4262*w + 1160 = 4204*w for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((0\/2)\/1)\/1)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -117 (b) 1 (c) -1\/4 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4290 = q, -2*g - 1401 = 2*q - 9997. What are the prime factors of g?\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 762 times -0.00053?\nAnswer: -0.40386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2050325 (base 6) to base 3.\nAnswer: -12002001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171297013 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.198 - -0.002. Let x = w + -6. Let p = 4.8 + x. Put 1, -3\/2, p in descending order.\nAnswer: p, 1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 - t + 53*t**2 + 235 - 79 - 80.\nAnswer: 53*t**2 - t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 1 + (-16)\/(-6). Let z = 7.6 - 8. What is the closest to q in -0.3, -1, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.77 at most 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 13 + 5. Let p be (-2 - -1)*11 - s. Is (-2333)\/p - (-8)\/(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1. Suppose -5*i = d + 14, 2 + 5 = -3*i - 2*d. Suppose 0 = c + 3*c - 20. Let y = c - 6. Let u(b) = -b**2 + b - 3. What is i*z(n) + y*u(n)?\nAnswer: n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let o = -1056 - -23231\/22. Which is smaller: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-63)*6*(-546)\/12. Solve 38*q - v = g*q, -2*v - 15 = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6305816 is divided by 485057?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -20*s + 522. What is m(20)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 351425*y**2 + 2108560*y + 60.\nAnswer: 5*(y + 6)*(70285*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2318 = 676. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (738 - 730) + (0 - 2) + 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*i - 249 = -4533 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2461, -2605, -2847, -3193, -3649, -4221?\n\"Answer: -a**3 - 43*a**2 - 8*a - 2409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7743 and 15225.\nAnswer: 1355025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4538*a + 3559*a = -1455*a + 1621*a + 63448 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from uzvuuvuvuuvvvuvvuvv?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2723, 13.3, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76249353*j*u*v**2 + 149*j*u*v - j*u + 373*j*v + 6*j + u*v + v + 1 wrt v.\nAnswer: 152498706*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23347?\nAnswer: 37, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/13, 5, -0.21, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ddb81 - -135?\nAnswer: -dda4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txt when three letters picked without replacement from btovoxotoo?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/(-6))\/(102\/(-153))*-4.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 57?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -20. Let c be 4 + 0\/(-5) + s. Suppose -h + 4*q = -3*h + 64, -2*q = c. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-6 - (-13 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 11:43 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -1 + sqrt(832))*-5 + sqrt(832) + sqrt(832)*-2 + -1 + -5*sqrt(832)*2)**2.\nAnswer: 256*sqrt(13) + 212993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1003133 from 442.567.\nAnswer: -1002690.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 6:22 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5 - 77*i**4 + 1362*i**3 + 4640*i**2 + 3200*i.\nAnswer: i*(i - 40)**2*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c - 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4 - 6 + 3 + z. Let k be (-10)\/(1 - (-18)\/(-9)). Let l be m(k). Solve 0 = -5*t + l*c - 7, -2*t + 4*c - 8 - 6 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 660 and 7295?\nAnswer: 962940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-2))\/((-4)\/(-3)). Let a(h) be the first derivative of 1\/2*h**4 + 4\/3*h**t + 0*h + h**2 + 2. Factor a(l).\nAnswer: 2*l*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 111*r**2 + 1313754*r + 786867897?\nAnswer: 222*r + 1313754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 + 2*i**3 - i**3 + (-2*i + 0*i + 0*i)*(3*i**2 - 5*i**2 + 0*i**2) + (3*i**2 + i**2 - 6*i**2)*(-6 + 6 - 2*i + (3 - 3 - 2)*(i + 2*i - 2*i)).\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 + (-303)\/(-108))\/(1781\/5343) and ((-111)\/(-10))\/(22\/5).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkkkfkkffbkb. What is prob of sequence fkf?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24, 166, 402, 732?\n\"Answer: 47*h**2 + h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.018299672 - 0.0183. Round o to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18925 is divided by 1891?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 100961827 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of -10365*(36\/324)\/((-1)\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423 and 508743.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-2 + sqrt(468) + 0 + (3 + sqrt(468))*1)*-4 + 4 + -3))**2.\nAnswer: 2592*sqrt(13) + 269649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 11 + 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a**3\/7 + 38910*a**2\/7 + 63102288*a\/7 + 63063384\/7.\nAnswer: 6*(a + 1)*(a + 3242)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 145, 349, 645, 1039, 1537, 2145, 2869?\nAnswer: 3715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y**2 - 85603*y + 171214. Determine s(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -9. Suppose u*c + 178 = 535. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*y + 67*y - 7*y**2 - 38*y.\nAnswer: -7*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, 3915, -2.\nAnswer: -4, -2, 8, 3915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 9:42 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.013202 (c) 0.02 (d) -2 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1020?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2 + 3961564*m - 1961748665762 = 0.\nAnswer: 990391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 109855141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 15810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -22*i - 222. Give a(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 13. Let z = 0.25 - 10.25. Let q = z - v. Sort -0.3, -0.2, q in ascending order.\nAnswer: q, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -42. Let q = y - 5. Let w = q + -45.7. What is the third smallest value in w, 4, -1\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5))**(-13)*(j\/(j*j*j*j**(1\/6)*j))**(-2\/21) assuming j is positive.\nAnswer: j**(-1543\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(5)*-2 - sqrt(5))**2 + -5 - (-3 + sqrt(720)) - (((sqrt(60) + sqrt(180)\/sqrt(3))\/sqrt(12) - (sqrt(5) + sqrt(5)*-2)*-5)*1)**2)*-4 + 3.\nAnswer: 11 + 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5634.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from {x: 1, z: 1, p: 1, o: 3, m: 2, n: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13385\/4922 or -4?\nAnswer: -13385\/4922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9096752 is divided by 2649.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31619.\nAnswer: 7, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (7 + 8 - 15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/(-50))\/((-1)\/5)*3118 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.049 (b) 1\/5 (c) 5 (d) -6\/223 (e) -3\/7 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -10. Let u(i) = i**2 + 3*i - 7. Let y be u(t). Suppose 5*f + 180 = 8*g - y*g, 0 = 5*g + f - 162. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -8\/29 (b) -3 (c) -1451\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -11.582 (c) -2\/3 (d) -0.2 (e) -1\/2 (f) -218\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38569734?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/5 - 472\/(-40).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 102, 878, 1654, 2430?\n\"Answer: 776*s - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3635 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 276043*l - 552095. Give y(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*a - 11885 = 4009 - 3204. What is the highest common factor of a and 1854?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7574 - -1) + (2 - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168854 to the power of 1\/2, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 r when four letters picked without replacement from zzzzrzzzzzrzzzzzzzzz?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2710 divided by 10\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**5\/5 + 71*q**4\/5 - 73*q**3\/5 - 71*q**2\/5 + 72*q\/5 = 0?\nAnswer: -72, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(0 - (0 - 1)). Let p be (n\/(-2))\/((-3)\/8). Calculate the remainder when 6 is divided by ((-24)\/18)\/(p\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 78 = 3*b, 164*b = -k + 167*b + 1 + 11 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2065182?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -94*w + 1040. Give r(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -50. Let a(z) = -5*z + z + 7 + 3*z. List the prime factors of a(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, -4, 14, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-20)*(-6915)\/5532?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:24 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3 - 7322.\nAnswer: -7323.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -14*o + 949. What is the remainder when 288 is divided by o?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -1 (c) -2\/13 (d) 186 (e) 88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67706027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 0*a + 1\/24*a**4 - 4*a**2 + 0 - a**3. What is the derivative of r(w) wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n + 66 - 70 - 2*n. Suppose 2*t + 2*z = -t - 10, -t = -5*z + 26. Let m(w) = -7*w + 7. What is t*m(i) - 10*u(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.69 - 47.31. Let m = q - -48.23. Let s = 0.2293 - m. What is s rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1751\/(-15) + 0 + (-408)\/(-3060). Suppose q = -0*q - 2, -3*q + 345 = 3*r. Let v = r + g. Is -4\/3 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5514046527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/2315 + -4616\/16205. Sort -0.1, d, -1\/38.\nAnswer: d, -0.1, -1\/38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/(16\/(-6) + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, -3, -786, -1 in descending order.\nAnswer: 6, -1, -3, -4, -786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - 0) + (-266910)\/(-11193).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(704) - (4*sqrt(704) - sqrt(704))))**2 + -2.\nAnswer: -96*sqrt(11) + 2823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7975 - -7979. Let n = -1 + 1.5. What is the third biggest value in n, -0.7, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 103, 114, 125, 136, 147, 158?\n\"Answer: 11*m + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**4 - 1557900*f**3 + 23367900*f**2 - 116838500*f + 194730000 = 0. What is f?\nAnswer: 5, 389460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/(462\/(-2464))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-32))\/(1\/(-4)). What is the second smallest value in m, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1184 - 1382.\nAnswer: -2566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + p**2)*(0*p**3 + 6*p + 2*p**2 + 0*p**3 - p**3).\nAnswer: -p**5 + 2*p**4 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15018869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iixiiiimiii. Give prob of picking 1 i and 1 x.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1 + 2)*-1)\/(-1). Let a(t) = -t**3 + 13*t**2 - t + 16. Let c be a(13). Suppose c = 3*b + 15. Sort 7, b, p, 2 in decreasing order.\nAnswer: 7, 2, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1139043 + b**2 + 1139043.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1098.46 - -0.3471\nAnswer: -1098.1129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*p + 151, -4*j + 3*j + 4 = 0. Let h = p + 62. Solve h*r - 5*t - 20 = 0, 3*r + 2*r = -t + 26 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33800896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1700*r + 1708*r. Solve r = -4*i - 46 + 30 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 196872, 394833, 592794, 790755, 988716, 1186677?\n\"Answer: 197961*f - 1089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, 3, -1, -1\/9 in decreasing order.\nAnswer: 133, 3, -1\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 200865957 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 431928642 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*b + 29. Calculate the remainder when 42 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0.1. Let u = 68.25 + -68.35. What is the nearest to u in -8, -3\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011505 to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - (-80 + 66)) + -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 5*w**2 - 2*w + 4. Is 30 a factor of t(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d + 4. Let q(v) = 2*v + 4. Calculate 2*q(n) - 3*x(n).\nAnswer: -5*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 + 248*b**2 + 0*b**3 + 30*b**3 + 2016 + 1224*b + 46*b**3 - 3000*b.\nAnswer: -4*(b - 21)*(b - 2)**2*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -7257\nAnswer: -47\/7257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*1*(-116)\/58\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11897655.\nAnswer: 3, 5, 7, 11, 10301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (sqrt(190) - ((sqrt(190)*-2 + sqrt(190) - sqrt(190)) + sqrt(190) - sqrt(190))))\/sqrt(10) + 1*(-2 + sqrt(19) + sqrt(19))**2 + -5.\nAnswer: -10*sqrt(19) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 + 26*a**2\/3 + 8*a.\nAnswer: 2*a*(a + 1)*(a + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120 + -138. Let i be 6\/z + (0 - (-2 - -2)). Which is the nearest to i? (a) -4 (b) -0.1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 295*m + 2250.\nAnswer: 5*(m + 9)*(m + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3 + 1)*(20 - 30 - 6)*(-2*y + 3*y - 3*y) + 62*y + 164*y + 79*y as q + r*y and give r.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/11, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7862394 divided by 2620798.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*i + 428 = -504 - 2602 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.91, -0.02, 4931?\nAnswer: 4931","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukk when three letters picked without replacement from {s: 5, u: 1, q: 3, k: 2, z: 5}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 11*g + 52. What is d(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-3*sqrt(128)*-1 + sqrt(128))*6 + -2*(sqrt(128) + 2*sqrt(128) + -5)))**2.\nAnswer: 25920*sqrt(2) + 374148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43881 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -39\/5. Let j = 18.49 - 18.39. What is the second biggest value in 1\/6, o, j, 3\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 - 87.1. Let o = 34 - i. Sort 3, o, 5\/4, 0.3.\nAnswer: o, 0.3, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -2*w + 4. Is 3\/(-12) + ((-6498)\/(-8) - w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 9. Let a(r) = 36*r + 204. Give a(d) - 9*n(d).\nAnswer: 45*d + 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-4))\/(470\/(-20) - -23).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30a + 1?\nAnswer: 30b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -19. Let z(t) = -t**2 - 6*t**c + t**2. Let r(l) = l**2. What is r(z(p))?\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-63)*-7)\/(8\/18)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((1 + 1)\/2)\/(-6). Let d be -8 + (-16)\/(-5)*20. Suppose -d*s + 25 = -81*s. What is the biggest value in -0.5, x, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -47*g + 1529. What is the remainder when y(31) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92*p**3*w**2 - 97*p**3*w + 42*p**2*w - 15*w**2 wrt w.\nAnswer: -184*p**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 184 - 175. Suppose -4068 = -18*q + m*q. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -30*m - 2. Let d(p) = -p**3 + 6*p**2 - p + 5. Let h be d(6). What is the units digit of c(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 2 - 6 - (6 - 12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43725488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**6\/60 + 2*d**5\/5 - 47*d**4\/12 + 20*d**3 + 364*d**2. Determine h so that b(h) = 0.\nAnswer: 3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -35. Suppose -22 = -g*m - 0. What is the closest to -1 in 3, m, -13\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97608\/5292 + (-10)\/(-18)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1.23 (b) -2\/7 (c) 3 (d) 5 (e) -10.422 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 40, -34*y - 18944 = b - 19218 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*sqrt(108) - sqrt(27)) + sqrt(243)\/sqrt(144))\/(sqrt(54)\/(sqrt(150)*6)).\nAnswer: 390*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 724.09549 and 0.3?\nAnswer: 217.228647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 7*p + 8. Let c be (-19 - -18)*(1 + 5). Let z be q(c). Does 4 divide (7 + z)\/((-10)\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**4\/4 + 3*b**2 + 31*b - 15. Suppose m = -0*m - 3. Let i = -4 - m. Determine q(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6422045 or 6422053?\nAnswer: 6422053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1 + (sqrt(153) + -3)*-6)*-5*5 + -2)**2.\nAnswer: -384300*sqrt(17) + 3624831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, 133, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 473 = -437. What is the derivative of 51*d - a - 2 + 16 wrt d?\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*y**3 - 233*y**3 - 7713*y**4 + 155*y**3 - 25037*y**4 + (0 + 1 - 2)*(-y**4 - 2*y**4 + 4*y**4).\nAnswer: -32751*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 2*l + 4 - 6 + 8. Calculate v(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 1 + g - 3*g - 2 + 2 - 3*g + (3*g - 4*g + 0*g)*(5 + 2 - 17) + g + 4 - 4.\nAnswer: 10*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12648 - 12599. What is the highest common factor of 434 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 2*j**2 + 57*j + 206. Calculate b(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -210 + 45. Calculate the lowest common multiple of c and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37962 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7877 = 10*q - 12*q - o, 3*q + 4*o - 11823 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + sqrt(5))*6 + 1 + -2 + sqrt(5))**2 - ((sqrt(75)\/(-2*sqrt(5)))\/(sqrt(30)\/(sqrt(50)\/sqrt(5))))**2.\nAnswer: -28*sqrt(5) + 991\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*f + 5*d, 18 = 2*f + 11464*d - 11469*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*o = 384 + 274 + 406. Suppose 0 = 2*m + l, 5*l = l. Suppose 3*i - 108 - 21 = m. What is the remainder when i is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 12*c**2 - 4*c + 2. Suppose -16 = 3*l - 61. What is the remainder when x(2) is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44649.6 months to centuries.\nAnswer: 37.208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.9*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4858 + -4854. Solve 5*h = -q*b + 7*h - 2, 4*h + 14 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1163?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -13626*r + 1797 + 27242*r - 13619*r in the form t*r + z and give z.\nAnswer: 1797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b**2 + 85*b + 13. Let r(n) = 4*n**2 - 42*n - 6. Let m(o) = -13*r(o) - 6*y(o). Find d, given that m(d) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**9\/756 + w**5\/60 + 7*w**3\/3 - 3. Let z(a) be the third derivative of u(a). What is the second derivative of z(x) wrt x?\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20433 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 = x, -2*r + x + 4*x = -27. Suppose -3*g = -g + 10. Let h(n) = 20*n - 124. Let s be h(6). Sort s, g, r.\nAnswer: g, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Let m = -1 + 4. Find the first derivative of z - m*z + 2 + b*z wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26874546 and 1758.\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16390 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*y - 14 = 0, 0 = 4*d + y - 20 + 11. What is the second derivative of -5*b - 817*b**d + 817*b**2 + 4*b - 3 - 118*b**4 wrt b?\nAnswer: -1416*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 12*n + 12. Let f be a(-13). Let m(k) = k - 1. Let g(s) = -6*s + 20. Let v(r) = f*g(r) - 8*m(r). Determine v(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1331) + -1*sqrt(1331)*-4 + sqrt(1331))**2 + 1).\nAnswer: 47917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 3. Suppose -3*v = -5*v + 10. Let r be n(v). Solve 0 = 4*f + r*y + 28, 22 = -f - f - 3*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.959293 centuries in millennia?\nAnswer: 0.8959293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7590*u**2 + 440*u - 220. Let o(a) = -104*a**2 - 6*a + 3. Let m(y) = -3*g(y) - 220*o(y). Let p(j) = -2*j**2. Give p(m(t)).\nAnswer: -24200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002272778 rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*t - 5*x + 6, 14 = -3*t + 2*x. Let a be 2\/(-6) + -2*t\/(-15). Let u = 12 + -15. What is the closest to -2\/7 in -0.2, a, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 3*b - 2*b**2)*(8*b + 3*b - 6*b) as j*b**3 + w*b + m*b**2 + h and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from {o: 2, w: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11407)\/(-1342)*(-96)\/34.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 556296*i - 902600 wrt i?\nAnswer: 556296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 876*p + 11449. Let m be h(-13). Solve m + 59 = 15*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 12*n + 12. Let q be 4\/((-84)\/245) - 1\/3. Let t(g) = g - 1. Give q*t(y) - z(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = -2. Is (178\/(-6))\/(d\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11\/105 - -2\/21. Let g(t) = -16*t**2 + 3*t - 1. Let h be g(1). Let y be (-2)\/7 - 228\/h - -2. Are y and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -5, 0.8, -0.1, -5.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 44. Let r = 35 - p. Suppose -2*l = -b - r, -9*l + 4*l = 5*b - 155. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -22. Let h = -186 - -285. Calculate the greatest common divisor of y and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*b - 1. Let s be ((-19 - b)*-1)\/1. Suppose -4*i = -90 + s. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 589*l + 26*l - 32595 for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4138158516312 minus 0.87?\nAnswer: 4138158516311.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -10, -3, 8?\n\"Answer: 2*q**2 - 3*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 9:44 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2. Let j = 6 - -1. Let s(i) = j - i - 7. Calculate y(s(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 454818600 to the nearest one million.\nAnswer: 455000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8073*n - 1. Let y(w) = 29*w**2. What is l(y(t))?\nAnswer: -234117*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*4\/(-114)*555845\/58510.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -12. Let n(y) = y**2 + 6*y + 5. Let v be n(w). Suppose v*o - 22 = -o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from {p: 5, r: 1, z: 7, y: 3, i: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 4*d = 52. Let w(m) = -11*m**3 - 9*m**2. Let q(l) be the second derivative of l**5\/4 + l**4\/3 - 2*l + 123. Calculate d*q(g) - 6*w(g).\nAnswer: g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 26*t**3 + 2*t**2 - t. Let a be r(1). Let o = a + -7. Let u = -1 - -7. What is the least common multiple of u and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*r + 36*r**2 + 23*r - 16*r)*(-1 + 58*r - 39*r + 3).\nAnswer: 684*r**3 + 34*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 106208?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 387720196 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 1, l: 1}. Give prob of sequence lv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4*y + 63 = 58, -5*v + y - 20 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16793916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -7. Let x be -4 - j - (-18)\/2. Which is greater: x or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13484 is divided by 1214?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 1, o: 2, u: 1, t: 2, s: 1}. Give prob of picking 1 o and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7922247 + -7922251.000003. Let i = 4 + x. What is i rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14373099150 rounded to the nearest 1000000?\nAnswer: -14373000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 62 - 23. Let s(b) = b**3 + 19*b**2 + 18*b - 14. Suppose -h - 738 + 720 = 0. Let m be s(h). Which is bigger: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooolooll. Give prob of sequence oool.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36388 divided by -11.\nAnswer: 3308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (2 - 10 - (0 + 3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25025, 1, -4, 266 in decreasing order.\nAnswer: 25025, 266, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2979361 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12367025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**5 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -l - 6*y, 2*l - 15 - 8 = -2*y + 3 - 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 15*p - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13463 - -13463.00019809. What is v rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 11*r - 14. Let b be n(-10). Let u be 7 + (b + 1)*1. Suppose -5*o + 3*o - k = 1524, -u*k = 16. What is o rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*(-1 + sqrt(1300)))**2.\nAnswer: -1620*sqrt(13) + 105381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 740 = -0*j + j - 3*d, 4*j - 2940 = 2*d. Let z = j + -404. Is z a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 4*a**2 - 3*a + 1. Let m be b(3). Let z be -3 + m\/((-1)\/(-3)). Suppose 5*d - 3*d - 158 = z. Is d 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 1632933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109 + -433\/4. Which is the second biggest value? (a) -1 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -748\/13 - -5515\/78. What is the common denominator of w and ((-1)\/2)\/((-6)\/(-268))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 45*d**2 - 9*d - 638. Give c(45).\nAnswer: -1043","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, 1\/7, 544\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 b when four letters picked without replacement from {c: 4, b: 14}?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of -4 - 2\/(4\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a39 (base 11) to base 7\nAnswer: 14261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 74*a + 3696. Let q be v(-50). Sort 3, -2454, q, -1 in ascending order.\nAnswer: -2454, q, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 5228350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - sqrt(2)) + sqrt(2) + (-1*sqrt(6) + sqrt(6))\/sqrt(3).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-9)\/129)*((-3)\/(-54))\/((-217)\/3906).\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 22. Solve r = 2*i - q + 3, -3*i - 5*q - 4 = 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + 15 + -2 + 6. Solve y - 24 = -16*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + l + (2*l - 4*l + l)*(0 - 1 + 3) + (2*l - 4*l + 0*l)*(0 - 2 + 1).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*f - 4*f**2 - 69*f + 2 - 2 wrt f.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 - 25. Suppose 0 = -c*i + 2*y + 253, i - 6*i = 3*y - 258. Let d = i + -47. Calculate the lowest common multiple of 24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 621 + -610. Solve -6*d = -m*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12012 - -2?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-5 + 4 - -1) - 3 - (-7 + -12).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*l - 10 = 0, -2*l = -4*a - l + 2. Solve a = 4*q - 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/14 - (-93)\/(-217).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 441 and 1323.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -34\/157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, v: 1, p: 1, i: 3, s: 6}. What is prob of picking 2 r and 1 i?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 658573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4985901 minutes in microseconds?\nAnswer: 29915406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*m + 5 + 4 = 0, 3*n + 3*m = 21. Suppose -n*t + 0*t + 85 = 5*o, -63 = -3*o + 3*t. Solve a - 8 = -2*v, -5*v + 1 = -a - o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/7, 6, -0.15?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2112656 divided by -264082.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -39, -0.2, 4, 2\/9, -770 in ascending order.\nAnswer: -770, -39, -0.2, 2\/9, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 m when four letters picked without replacement from {g: 2, n: 4, c: 2, m: 1, r: 5}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2502 and 676374?\nAnswer: 2029122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 6.7.\nAnswer: -13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 49. Suppose 4*i = 62 + n. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5602538*m - 4290 = -5602483*m for m.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + (sqrt(117) - (sqrt(117) + sqrt(117) + 3)) + 5 + -3))**2.\nAnswer: 72*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2414.05811 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9568\/23)\/(-13))\/(11\/(-11))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/((-3)\/(-5)))\/((-8)\/(-2)). Which is the smallest value? (a) r (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(99) - (sqrt(99) + 2*sqrt(99))))\/((-2*sqrt(108) - sqrt(108))\/sqrt(12)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.96 + 5. Let g = v - 4.04. Which is the nearest to 1? (a) 0.2 (b) g (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**2 + 2*u + u**3 + 1 - 2*u. Let t be h(4). Let n = -855 - -851. What is the closest to t in n, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5603429711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*12\/18*(-1)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69936202 a multiple of 917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/99 at least 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 3, -2, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 - -124. Sort 5, -0.2, t in increasing order.\nAnswer: -0.2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 1)*(-17 - -19)\/(-2). Let i(z) be the first derivative of 0*z**2 + 0*z**3 - 3\/5*z**5 + 1\/4*z**6 + q*z + 3\/8*z**4 - 11. Let i(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 26714 = -2*b, 0 = -124*b + 127*b + 3*j - 40077. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, d: 1, a: 3, f: 1, r: 2}. Give prob of picking 1 a and 1 r.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*s = 26*s + 267 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4*p**2 - 14*p**3 + 13*p**3 - 3*p**2 to the form k + g*p**2 + t*p**3 + f*p and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10690037 - 5759967. Let c be 6\/3*p\/8. Let m = c + 6812501. What is m rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4429 + 4428.99522. Round o to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.1 (b) 2 (c) -0.3 (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70120089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/((-2793)\/304)*6\/(-8). Which is the second smallest value? (a) -1\/3 (b) -153 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -617, -649, -681, -713, -745, -777?\n\"Answer: -32*q - 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -798 + 864. Solve m*l = 64*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 1\/6 (c) -0.016 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 398 + -419. Suppose 0 = -5*w - 6 + 126. Let g = j + w. Solve 0 = 2*c - g*t - 15, 0*c + 3*c + 2*t = 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x + 9. Let z(b) = 1. Determine -d(q) + 3*z(q).\nAnswer: -5*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1305 and -19\/62930.\nAnswer: 566370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7168748?\nAnswer: 2, 433, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/51 - -211\/952. Let j(y) be the third derivative of z*y**8 + 0*y**3 + 0*y**5 + 0*y + 0*y**4 + 11*y**2 - 1\/60*y**6 + 0 + 0*y**7. Factor j(k).\nAnswer: 2*k**3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 26*u + 9. Sort -20, -3, 5, u in decreasing order.\nAnswer: 5, u, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81\/4 + -20. Let b = -0.1 + -0.1. What is the closest to b in 0.5, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1053) - (sqrt(1053) + 0)) - sqrt(1053)*4*-2 - ((3 + sqrt(1053) + sqrt(1053))*-6 - (3 + sqrt(1053) - sqrt(1053))*-3))**2.\nAnswer: 3240*sqrt(13) + 421281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2007911\/90 + -22311. Calculate the common denominator of -85\/18 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 46. Let h(v) = 695*v**2 + 680*v**2 - 1383*v**2. Determine m(h(b)).\nAnswer: 8*b**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1633918 divided by 74269?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**17\/(v**15*v))\/((v*v*v**(-11\/2)\/v)\/((v\/v**(-29))\/v)) assuming v is positive.\nAnswer: v**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 315 - 135. Suppose -186*o = -m*o - 4800. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3314 (base 6) to base 16.\nAnswer: 2fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -130 - -199 - (3 - (-8 - 18)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3 - 72*b**2 + 308*b - 240 = 0 for b.\nAnswer: 1, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -23. Suppose -8*m - 28 = -t*m. Let r(w) = w**2 - 4*w + 3. Let a be r(m). What is the highest common factor of 200 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g - 2*g. Suppose g = 7*t + 437 + 2223. Round t to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**4\/12 + 11*r**3\/6 - 5*r**2 - 20*r. Is f(5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -237\/31 + 23\/372. Calculate the common denominator of -73\/12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8*y - 162. Let c be u(-20). What is the biggest value in c, 0, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 22*s**3 - 48*s**2 - 43*s + 242. Let t(b) = -5*b**3 + 12*b**2 + 10*b - 60. Let j(n) = 9*t(n) + 2*u(n). Give j(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53799.\nAnswer: 3, 79, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62228 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 3. Suppose 0 = -5*y - 15, 4*q + 4 + r = 2*y. Let v(j) = -j + 2. What is the units digit of v(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17122237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099675403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -117 + 189. Suppose 0 = -5*o + 4 + 1, 16 = 2*h - 2*o. What is the highest common factor of h and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**3 + 4*m**2 - 4*m - 2. Let v(f) = -2*f**3 + 5*f**2 - 5*f - 2. Give 5*h(r) - 4*v(r).\nAnswer: -7*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c*d**3*y - 2*c*d**2*y - 106843*c*d**2 - 9*c*d*y + 530*c*y - c - 4*d*y - 2 wrt d?\nAnswer: -30*c*d*y - 4*c*y - 213686*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 409809530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-84)\/27 - -4*5\/180. Let q(u) = -8*u + 15. Let x(j) = 3*j - 9. Let l(z) = t*q(z) - 5*x(z). Let v(i) = -5*i. Determine l(v(k)).\nAnswer: -45*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -58374, -117746, -177118, -236490?\n\"Answer: -59372*p + 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613773 is divided by 304?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 5:06 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 84, 91\/6, -1\/4, -5, -0.9, 5?\nAnswer: 91\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100736354*g**2*w + 27*g*w + 142026*g - 2*w + 1 wrt g?\nAnswer: -201472708*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 11*m + 19. Determine l(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from {x: 1, y: 11, v: 2}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2 (c) 10\/84099 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 8 = 0, d - 21711 = 3*q - 21720 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3875, 2 in decreasing order.\nAnswer: 2, -4, -3875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -122741 times -9.96?\nAnswer: 1222500.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 3 + 0 - 4)*-3. Suppose 0 = 2*v - b*v + 80. Let q = 18 + v. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -20, 3*v = u + 7*v - 3. Let o be (-675)\/90*12\/(-10). Let b(g) = 4*g - 40. Let t be b(o). Sort 3, u, t in descending order.\nAnswer: 3, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8116824 and 280416?\nAnswer: 746747808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**3 - 305247*m**2 - 8545152*m - 59811948 = 0?\nAnswer: -101721, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.301 - -29.101. Let j = o - 32. Let m = j + 3.199861. Round m to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.074 + -0.026. Let n = -4 - p. Is n at least 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(3) + 3*sqrt(3)*-3 + 3 + -2*((2*sqrt(3))**2 + sqrt(3)) + (sqrt(3) - ((sqrt(12))**2 + 1)) + 0.\nAnswer: -34 - 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 194\/(-105) - (-6108)\/3563. What is the fifth smallest value in -5, -0.2, 4, 2, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - 8*k + 6*k + 850*k**3 - 849*k**3 - 7 - 5*k**3 + 1 - 1 + (0*k - k - k)*(-k**2 + 3*k**2 - k**2) + k**3 - k**3 + 2*k**3.\nAnswer: -4*k**3 - k**2 - 2*k - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 13*y**2 - y - 1. Let u(p) = 6*p**2 - p. Calculate 5*u(j) - 2*v(j).\nAnswer: 4*j**2 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 26 = 3*b, 39*b + z = 43*b + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*s = -m + 29, -m + 6 = 5*s. Let h = -6 - m. Let k(t) = 2*t**3 - 2*t**2 - 3*t - 2. What is the remainder when k(3) is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4759393801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(75) + 1 - sqrt(75)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-552 + 178 + 216*n + 179 + 184)*(1 + 3 - 3) as j + i*n and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6973888726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, c: 1, d: 2, n: 1}. What is prob of picking 2 d, 1 n, and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 6)*(-2 + 3)\/1. Put g, -11, 3 in ascending order.\nAnswer: -11, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6046384 divided by 1\nAnswer: -6046384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1273.283 - -1272. Let y = 0.283 + d. Suppose c = 2*c - 10. Sort 2, y, c, 4 in ascending order.\nAnswer: y, 2, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-3 - -7 - 3). Solve -2*l**4 - l**2 - l**3 + l + j*l**2 + 3*l**4 = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -613, -1881, -4311, -8281, -14169, -22353, -33211?\nAnswer: -47121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*y**3 + 4972921*y - 20960375 wrt y.\nAnswer: -9*y**2 + 4972921","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6861653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26585 or 26494?\nAnswer: 26494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 509898.3584 plus 498.41?\nAnswer: 510396.7684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*g**2 - 52*g - 144.\nAnswer: 2*(g + 2)*(5*g - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -19837513829 + 22\nAnswer: -19837513807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31261503 + 4?\nAnswer: 31261507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*-3)\/sqrt(10)*4)\/(2*(sqrt(5) - (sqrt(5) + -2*sqrt(405)))).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -261 + -1504?\nAnswer: -2065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -4 - -20 - 22.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s - 3*s + 2*s - 4*s + 4. Does 12 divide u(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -344017\/9325 >= -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2370 less than 2262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 54*f - 53*f + 0 = 17, -29*f + 20 = -b - 13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -342\/13 or -258\/103?\nAnswer: -342\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -328 in -5, 1.38, -2, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27478759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/602 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1818112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 5 (b) 1275 (c) 4\/865\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2. Let b(k) = -816973*k. Calculate b(a(o)).\nAnswer: -2450919*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -18. Let k be (m\/(-6))\/((-1)\/2). Suppose -4*r + 130 + 40 = -5*f, -194 = -5*r - k*f. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39520583 is divided by 130?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 + 105. Let c be (451\/185 - d\/40)\/2. Let h = 640\/777 - c. Calculate the common denominator of h and -28\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 1:16 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10780353 divided by -5?\nAnswer: 10780353\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 - -39. Let x(g) = -g**2 - 8*g + 4. Let p be x(w). Let f(o) = -3*o + 3*o - 9 + o. Give f(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -7*x**6\/30 - x**2 - 7*x. What is the derivative of j(v) wrt v?\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2)\/(0 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3 + 9. Suppose -v*x = -x - 335. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/5 + 55\/25. Let u be j\/(0 + 9\/6). What is the nearest to 1 in -2\/7, 1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*91015749\nAnswer: 36406299.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3. Suppose g = 2*b + 6, 0 = 8*v - 6*v - 4*b - 196. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**2 - 22*j + 0 - 2*j**2 - 2 + (-56 + 56 - 5*j)*(2*j + 6*j - 3*j) to the form z + d*j + o*j**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m. Suppose b - 2*i = 4*b + 16, m = -5*b - 5*i - 35. What is the remainder when 40 is divided by 3\/b*(-84)\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((-3 + 1)\/2). Let l(z) = -3*z**2 + 0*z**2 + z + 3 + 2*z**2. What is l(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/135392972 and -101\/130.\nAnswer: 676964860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-11\/4))\/(f*f**(-14)*f)*(f*f**(-2\/5))**(-49) assuming f is positive.\nAnswer: f**(-273\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 817 = -847 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35.05*-0.5.\nAnswer: -17.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aasaasssaa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -11222?\nAnswer: -11223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 603\/(-1407) - (53\/7 + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/8281 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 20\/(-25) + (-308)\/(-35)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 + 35 + 36*m**2 as j*m + t + v*m**2 and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 108600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-8))\/(((-11)\/4)\/11). Let j be (d + 33\/(-6) + 4)*0. Factor 0*f**3 - 4\/5*f**4 - 2\/5*f**5 + j*f**2 + 0 + 0*f.\nAnswer: -2*f**4*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, 36, 79, 138?\n\"Answer: 8*x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8396.\nAnswer: 2, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 3:39 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -573 - -669. Let b = 51633 - 51536.889. Let v = z - b. What is v rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 120\/104 - (-4)\/(-26). Suppose -h = u, t - 129 = 2*t + 5*h. Let i = t + 237. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a factor of 9834616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7897*r + 4499. What is the units digit of x(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315\/(-399)*190\/(-1425)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b. Let z(s) be the first derivative of s**3 + 11. What is z(o(u))?\nAnswer: 507*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 5, q: 2, g: 6, e: 1, l: 1}. Give prob of picking 1 s and 1 g.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(405) + 2 + sqrt(405))**2 - -6*(sqrt(405) + (sqrt(405)*-2)**2)) + 0.\nAnswer: 270*sqrt(5) + 11376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16518 at least 16517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*b + 4*j, b = 3*j. Let l(d) = -3*d - 4*d + 4*d + b*d. Let h(x) = -3*x. What is l(h(v))?\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - i - 3. Give p(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.054 - 864.054. Let r = x + 863.99521. What is r rounded to four dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499\/18 at least as big as -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12\/30835 + 180157\/91703290. Let l = d + -101891\/13383. Calculate the common denominator of l and 1\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -42601.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93080*m = -93071*m + 189 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 7. Let m = 6 + a. Let y = -2.2 + m. Which is greater: y or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3432\/65 + -51 + 117\/(-15) + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 15*v - 132. Solve 0 = -2*l, -3*g + 4*l = -v + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Suppose 0 = 123*t - 125*t + 530. Let r = -531\/2 + t. Which is the nearest to i? (a) 0.2 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25*(-2 + 1)\/(27 - 22)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**6\/360 - g**5\/20 - g**4\/6 + g**3\/2 + 3*g. Let v(h) be the second derivative of l(h). Let z be v(7). Is z >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1190178.666 rounded to the nearest one hundred?\nAnswer: -1190200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91 + -78. Suppose l*n - 60 = n. Sort -5, n, -21 in ascending order.\nAnswer: -21, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4024377 + -74431887. Let l = 70407522.0000006 + i. Let y = l - 12. Round y to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/12 - 16\/(-6). Suppose -3*a + 24 = -3*l, -5*l + 40 = -2*a + 59. Put a, 0.3, 0.1, d in descending order.\nAnswer: a, d, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8*h**3 + 20*h**2. Let y(j) = j**3. What is o(r) + 6*y(r)?\nAnswer: -2*r**3 + 20*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 523, 2, 0.1, -0.3, 0.16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 11:09 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -35 (b) -2\/7 (c) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -42, -35, -24?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 95, -34, 0 in decreasing order.\nAnswer: 95, 0, -2\/7, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396515985 - 123*h**2 - 396515985.\nAnswer: -123*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 570871, 1141690, 1712505, 2283316, 2854123, 3424926?\nAnswer: 3995725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 10578805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2926\/(-385)*(-9 + 608\/72).\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 326900 and 134525.\nAnswer: 1759048900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -64 (c) -152 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*t - 66, -4*q + 24 = t - 5*t. What is the smallest value in q, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, i: 2, z: 4, x: 1, n: 1, b: 6}. Give prob of sequence xe.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/9 - 178*o**2\/3 - 1588*o\/9 - 352\/3.\nAnswer: -2*(o + 1)*(o + 2)*(o + 264)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.23 - 4.73. Let x be ((-1)\/2)\/((-2)\/20). Which is the second biggest value? (a) u (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 a factor of 4643707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-4))\/((-475)\/1330)*6.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000134 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 4*b**2 - 2*b + 5. Let p be f(4). Suppose 3*d = 4*q - 14, -d = q - 0*q. Let c(l) = -85 + 2*l + 42 + 40 + 2*l**q. Give c(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 12*o**2 + 54*o - 528. Give a(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*b - 177*b = -715 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*30\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14134, 45929, 98922, 173113?\nAnswer: 268502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 - 2*p**2 + 3*p - 3. Let u(j) = 3*j**3 + 2*j**2 - 4*j + 4. Let b(k) = -2*k**2 - 2*k + 9. Let s be b(2). Calculate s*u(d) - 4*z(d).\nAnswer: -d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 0.21 (c) 2\/11 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -24.5\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 6\/7*m + 26\/7*m**3 - 34\/7*m**2 + 6\/7*m**4 - 8\/7*m**5 + 4\/7 = 0.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/3691650 and -26\/615275?\nAnswer: 3691650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 632765181 to the nearest integer?\nAnswer: 25155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 74c79 + 6?\nAnswer: 74c81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10008.00006059 - 10008. Round y to six decimal places.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 45. What is the nearest to -3 in d, -2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 152?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 - 2*n + (-3*n + 3*n + n)*(3 - 2 - 2) + (437 + 72 - 102)*(-4 + 4 - 2*n) as q + t*n and give t.\nAnswer: -817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3598*b + 3410668. Calculate x(948).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*z - 145*z - 138*z - 148*z + 572*z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1*k)\/k**1*k**6*k**(-5\/3)*((k\/k**(-2\/3))\/k*k)**(-8\/3)\/(k**(6\/7)\/(k*(k*k**(-5)\/k)\/k*k)) assuming k is positive.\nAnswer: k**(-250\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x - 36. Let s be v(-7). Suppose -5*r + u = 5*u + 6, 0 = r - u - s. Calculate the least common multiple of 42 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzf when three letters picked without replacement from {f: 1, z: 1, x: 1, u: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -538 divided by -7.\nAnswer: 538\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4388 + 4388.06. What is the nearest to -0.3 in -6, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1192 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, -3, 236, -4 in descending order.\nAnswer: 236, 4, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4342 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmeeemeeeemmeeeeemm?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -14 (b) -32 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b*q**3 - 12*b*q**2 - 123*b + 91420*q**3 wrt b?\nAnswer: -q**3 - 12*q**2 - 123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-2))\/(29\/(-261)). Suppose 12*t = 9*t + q. Let x = 40 + -27. What is the remainder when x is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwd when three letters picked without replacement from {d: 3, c: 7, w: 2}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 0 - (3 - 2). Let n(a) = a**3 - 27*a**2 + 27*a - 26. Let j be n(26). Find the first derivative of 3 + w**4 + j - v wrt w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*g + 24 = 398*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 5*a**2 - 4*a - 10. Let c be q(6). Sort c, 0.3, -4\/5, -5 in ascending order.\nAnswer: -5, -4\/5, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 1, -3, 209?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000499582552 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/4 + 47\/470*0?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17064\/156420)\/(2\/5).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2880 and 84288?\nAnswer: 1264320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**4\/8 - 10*w**2. Let z(i) = i. Determine h(z(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**3 - 88*c. Calculate i(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((546\/(-12))\/(-13)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*11\/88*16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 184, -3, -5, -38, 5 in decreasing order.\nAnswer: 184, 5, 1, -3, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-18) + (-200)\/720?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 * 8303.\nAnswer: 190969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 less than 5.9018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in -0.5, 1, 2, -10\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2208689, -4417392, -6626121, -8834882, -11043681, -13252524, -15461417, -17670366?\n\"Answer: -w**3 - 7*w**2 - 2208675*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -358 + 373.1. Let t = 17018.374 + -17003. Let q = h - t. Round q to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198 divided by 11\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 5 (c) 0.029 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007136837 to 7 dps.\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufe when three letters picked without replacement from {t: 3, e: 5, f: 5, j: 1, u: 4}?\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 7*s = 550. Suppose s*k - 46*k + 32 = 0. Put -1, -2, k, 5 in increasing order.\nAnswer: k, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 198 = -9*j. Let r = j - -175. What are the prime factors of r?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 8*n + 7*n + 1 - 108*n**2 + 114*n**2. Calculate the remainder when g(5) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u**2 + 2*u**2 + 0*u**2)*(4 + 3 - 5) + (2 + 0 + 0)*(-u**2 + 0*u**2 - u**2) to the form k*u + y*u**2 + x and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 4 = 2*s, 26*s - 3*z - 3 = 25*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q - 6. Let t be n(-6). Let y(i) = 4*i**2 - i - 3. Let a be y(5). Let p = a + -44. What is the highest common factor of t and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqlqqqqq. Give prob of sequence ql.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/(9\/(-12)). Suppose 2*f = 4*f + w. Let m(v) = v**2 - v - 1. Let g be 3 + 1 + -2 + -3. Let x(h) = h + 2. What is f*x(l) + g*m(l)?\nAnswer: -l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = t + 3*t - 6095, -2*t = 3*v - 3043. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/20*-5)\/((-100)\/(-80))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3312 and 1173.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 118739 + -1a4?\nAnswer: 118545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13694 divided by -2?\nAnswer: -6847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -277\/7. Let p be (7\/14)\/((-2)\/(-4)). Let n = p + -2. Sort 5, n, z.\nAnswer: n, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*z + 1 + 1, 5*r + 4*z = 40. Let w = -43 + 109. Suppose -j = -r*j + w. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -180 - -903\/5. Which is the third smallest value? (a) i (b) -1\/4 (c) 11\/4 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1138\/857?\nAnswer: -1138\/857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -954, -968, -982, -996?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000111001101000000 (base 2) in base 14?\nAnswer: -26c5c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 1. Let u(p) = 9*p - 82. Let o be u(10). Let g(n) = 2*n + 2. Give o*w(t) + 3*g(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 10 + 3*d**2 + 6*d**4 + 30*d - 30*d to r*d + l*d**4 + h*d**3 + i + f*d**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(-3 + 2 + sqrt(72) + sqrt(72) + sqrt(72) + (-2 + sqrt(72)*2 - sqrt(72))))**2*1.\nAnswer: -576*sqrt(2) + 4639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 20 - 80. Let s = 56 + 4. Suppose 0 = -a + 5*w + s, -w - 57 - 11 = -a. What is the remainder when a is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -15*f + 17. Suppose -f*o - 2*b + 5636 = 0, o - 2*b = -131 + 1550. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/16 and (-1)\/4*(-34)\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86556 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 3 + 9 + 3*w + 1.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 781361023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -60 - (8897 - 8939)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-6 - (2 + 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/3*(-6)\/(-4). Let o(w) = -7*w**2 + 5*w**2 + 3*w**2 + d*w**2. Let x(b) = b + 0*b - 3*b - 2*b. Give o(x(n)).\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*c**2 - 276*c + 276*c.\nAnswer: 39*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**2*t**3*u - 266*q**2*t**3 - 2*q**2 - 41*q*t**3*u with respect to u.\nAnswer: -2*q**2*t**3 - 41*q*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-10) + 3 + (-180)\/50?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/15)\/((g**(-2\/7)\/g)\/g))**(7\/12)*((g\/(g\/g**4))\/(g\/g**2*g*g))\/((g**(-1\/2)\/g)\/(g**3*g)) assuming g is positive.\nAnswer: g**(446\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**4\/6 - 19*q**3\/3 - 3*q**2 + 20*q - 1. Calculate the remainder when j(-16) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*h - 2 = -2*k, k - 4*h - 17 = 0. Let s be -1*2*k + -3. Let u = -7 - -12. Solve -10 = -u*c + s*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 0*g - p - 6, 3*g - 14 = -5*p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.038517 + 0.0376. Round p to 5 dps.\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 7 = 3*i, 143*u - 39 = 128*u - 3*i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-12 - -33) + -13)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + 48. Let m(g) = -4*g - 1 - 7*g + g + 2*g. Give m(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1736395 is divided by 291?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67\/4 - 2877\/172. Suppose -256*p + 260*p = 5*n - 11, 3*p + 8 = 4*n. Which is greater: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s - 3. Let u(g) = -26*g + 8. Let k(i) = -8*q(i) - 3*u(i). Let p(c) be the first derivative of -8*c**3 - 6662. What is p(k(y))?\nAnswer: -864*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**3 - 93920*x**2 - 2351125*x = 0.\nAnswer: -25, 0, 18809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifty-one quarters of a microsecond?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(1\/2)*v)**(-25)\/(v**(-1\/3))**(-1\/42))**(3\/19) assuming v is positive.\nAnswer: v**(-5513\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078243?\nAnswer: 733, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 + 2*t**2 + 2*t + 2. Let v be c(-1). Let h(m) be the second derivative of -4*m - 1\/2*m**3 + v - m**2. Differentiate h(d) with respect to d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -27. Find the common denominator of (2 - 22\/(-5)) + 7 + -3 and (-27)\/x*(-1 - 3\/(-21)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + 169. List the prime factors of l.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56280 = 230*n + 1646*n for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 3:51 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**3\/2 + 5*l. Let b(i) = 5*i**2 - 4*i**2 - 3*i**2 + i**2. Determine r(b(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 11:48 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 257988.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 + 50. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, n: 6}. What is prob of sequence rn?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*k + 8*k + 3*k + 20*k - 3 + 3*k as f*k + q and give f.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 + -1 + -2) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 66 - 119 = 3*u, 15*u - 13*u - 26 - 18 = -3*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -677 (base 8) in base 5?\nAnswer: -3242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 89.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1768 and 24576968?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2091*o - 2507 with respect to o.\nAnswer: -2091","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3800196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r - 2*r + 2*r)*(-18 + 18 - 18*r + (-43 + 15 - 19)*(-r - r + 4*r)) in the form t*r + g*r**2 + l and give g.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7)\/i)\/i**(-2))**(-41)\/(i**(1\/5)*i*i**2)**47 assuming i is positive.\nAnswer: i**(-6289\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -328 + 385. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -63, -77, -77?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 16 + 1. Let x = 8 + h. Suppose -3*l - w - 1 = 0, -4*l - 4*w + 3*w - 1 = 0. Put l, -1, x in increasing order.\nAnswer: -1, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and 96.\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = 15. Solve c*w - 10 = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkdd when four letters picked without replacement from vkkvdvddd.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538189993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393211 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2942978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 66 = -4*v - 2*b, 0 = -v - 5*b + 7. Let o = v + -6. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 564715.\nAnswer: 32\/564715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*l - 4 = -0, 3*l - 6 = 2*t. Let j be (3 + 40\/(-12))*t. Solve 4*d + j = -4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**3\/6 - s**2\/2 + 25*s + 72. Let v(g) be the first derivative of c(g). What is v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67159415*y - 67159415*y + 4*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 56*d**2 - 256*d + 26. What is o(51)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**6\/120 - 4*d**3\/3 + 5*d**2. Find the first derivative of o(z) wrt z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.87 plus -396621.873?\nAnswer: -396615.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-27)*-3*6. Suppose 37 = -w*n + 121. Solve 18 = -j + n*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 59648 and 7456?\nAnswer: 59648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 327643095 to the power of 1\/2, to the nearest integer?\nAnswer: 18101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830325 plus -5?\nAnswer: 1830320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 147 + -146.941. What is x rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 4)*(1 - 2 + 0) + 0 - 2 - 3 - 3 - 1 + 5)*(-o + 5*o - 30*o).\nAnswer: 156*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29.7383 litres?\nAnswer: 29738.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (-1)\/((-55)\/135) and 1\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13.8 from 0.083855.\nAnswer: -13.716145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t + 8. Let n(d) = -6*d - 3. Let g be n(3). Is 16 a factor of i(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -2*x**3\/3 - x**2 + 4*x - 7. Let v(b) = 3*b**2 + 2*b - 5. Calculate -4*m(q) - 3*v(q).\nAnswer: -q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 - 4 + 3*x**2 + (-2*x - 2*x + 5*x)*(-5*x - 29 + 29) - x**2 + 4*x**2 - 2*x**2 to the form m + o*x + y*x**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -2, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.8 + -9.115. Let a = 0.461 + -0.161. Let p = t + a. Round p to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3*c - 4*c - 7 - 2*c**2)*(0*c**3 + 2*c**3 + 0*c**3).\nAnswer: -4*c**5 - 2*c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**4\/12 + 3*n. Let i(b) = 28 - 33 + b + 13. What is q(i(f))?\nAnswer: -f**2 - 16*f - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -73, -68, -61, -52, -41, -28?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4)*(((d\/((d\/(d\/(d\/d**2)))\/d*d))\/d)\/d)\/d)\/(d\/((d\/(d*d*d**6*d*d*d*d))\/d)*(d\/(d*d\/(d\/(d\/d**(3\/2)))*d*d))\/d) assuming d is positive.\nAnswer: d**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/2 + 6*x**2 + 15*x\/2.\nAnswer: -3*x*(x - 5)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a milligram in micrograms?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 334051294 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*c - 4*c + 18, -i = 4*c - 14. Factor -15*u + 55*u**3 - 20*u**3 - 35*u**2 + 0*u**2 + 15*u**c + 0*u**2.\nAnswer: 5*u*(u - 1)*(u + 3)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) -1 (c) 1\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 6:27 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4\/7 + 1899*t**3\/7 + 53967*t**2 + 26634465*t\/7 + 382314504\/7 = 0. What is t?\nAnswer: -328, -143, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 71 - 22 = 7 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 3511.\nAnswer: 9\/3511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 83 - 35 = 0. Let o = x + 61. Solve -4 + 0 = o*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f4122 + -5?\nAnswer: f411d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(13)*-6 + sqrt(117)*-4)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1895*y**3 + 2*y**2 + 7*y - 11. Let j be o(2). Suppose c - 2776 - 1015 = -2*d, 4*c + d = j. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2 + 22587*u - 16750890 = 0.\nAnswer: 834, 6695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -188 + 187. Is -19 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = 4. Let v be (-5)\/k + (-3)\/(-6). What is the tens digit of (-4 - v)\/(2\/(-11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28321 less than 162365?\nAnswer: 162364.71679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -u - 4*b, 4*u - 21 = -2*b - 3*b. Suppose 0 = -f + 32 - u. Calculate the highest common divisor of f and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -52. Suppose 2*s + 302095 = i*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2 + 3158*s**3 - 11*s + 3151*s**3 - 6301*s**3 + 2.\nAnswer: 8*s**3 - 11*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/32 and -125\/167573928.\nAnswer: 670295712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7*o**2 + 7*o + 4. Suppose 2*y = -9*y - 2*y. Suppose 0*i - 4*i = d - 6, y = -5*d + 3*i + 99. What is the remainder when l(-4) is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 3, e: 1, c: 6, s: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -887*d**3 - 517*d**3 + 118*d**3.\nAnswer: -1286*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/7))**17)**(-8\/3) assuming h is positive.\nAnswer: h**(-136\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 381556723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 7*s**6\/120 - s**3\/6 - s**2. Let q be z(1). Let a be (3\/q + 0)*-2. Are a and 1\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + (0 - (3 - 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b496 (base 13) to base 7.\nAnswer: 640410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15224, -15222, -15220?\nAnswer: -15218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2)**(-2\/19)*x**24*((x*x**(-1\/7))\/x*x)\/x*x assuming x is positive.\nAnswer: x**(3278\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 30*h - 1884. What is i(51)?\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/56 and -11\/427.\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 4 - -3 - 5\/(-3 + 4). Factor -23\/2*m + 3 - l*m**2.\nAnswer: -(m + 6)*(4*m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.5 (b) 0.02 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 3375?\nAnswer: -23625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1634*t**2 - t**3 + t**3 + 7*t**3.\nAnswer: 7*t**3 - 1634*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 853, 862, 877, 898, 925, 958, 997?\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -r + b, 3*r = 2*b + 6. Suppose -54 = -r*c - 4*a, -23 = -5*c + 4*c + 2*a. Let h = -54 - -64. What is the highest common factor of h and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 4*g**2 + 4*g + 9. Let k be y(7). Is 23 a factor of k\/2 + -1 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -6\/5, 1\/2, -5, 49.734?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27133\/6174 - -2\/343. Find the common denominator of -67\/24 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2191 is divided by 137?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281120 a multiple of 1345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-10)\/19417)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 104 = -2*m + 2*z, 0 = z + 5. Let p = 184 - m. What is the smallest common multiple of 14 and p?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g. Suppose 2*b + 5*z = -18, -4*b - 19 + 3 = 5*z. Let q(s) = -2*s + 0*s + 5*s. Let r(w) = -w. Let m(o) = b*q(o) + 2*r(o). Calculate m(f(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9*(-1 - (-4)\/3*1). Solve -g + 8 = -o*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -8, -47, 9 in descending order.\nAnswer: 9, 5, -4, -8, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 2*l + 5*a + 4 = -3*l, 8 = 4*l - 7*a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 70*h**2. Let l(j) = -26*j**2 + 5*j. Let r(c) = 93*c**2 - 18*c. Let s(p) = 18*l(p) + 5*r(p). What is s(x(q))?\nAnswer: -14700*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*o = -19*o + 128 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 35*q**2 - 13*q**2 - 18*q**2 in the form y + m*q**2 + z*q and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/((-10)\/((-150)\/93))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -12*h + 15. Let d be (-4)\/10 + 4522\/(-70). Let u = 61 + d. Let o be r(u). What is the highest common factor of 21 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9346 - -11260. What is the greatest common divisor of 66 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-5 + 357\/68). Which is the closest to 6? (a) 3\/4 (b) f (c) -3\/8 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232 and 177227468.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u = -40*u + 185. Suppose 3 = -u*q + 38*q. Calculate the greatest common divisor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*j + 14 = -15, 10 = -5*s - 3*j. Solve 15 = -2*r + k, 0 = 5*r - k - s + 31 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7276815 is divided by 921.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -58681083 - 0.5\nAnswer: -58681083.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = g + 83 - 27, 119*g = 112*g + 4*n + 76 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -1.45, -109.4, -5, -1\/4, -7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53660 + -5101. List the prime factors of c.\nAnswer: 7, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 1 (c) -1\/3 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 54 = 2*q + 42, 0 = -3*w + 2*q + 74. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 86027 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 697 or 707?\nAnswer: 707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/5 of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*z**4 + 5450*z**3 + 318238*z**2.\nAnswer: -288*z + 32700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**5 - 8136*r**4 - 57136*r**3 - 24616*r**2 + 253164*r - 163280 = 0.\nAnswer: -5, -4, 1, 2041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15*((-4)\/(-10))\/(-1). Let p be -18 + 2664\/63 + 12\/7 + -2. Calculate the greatest common divisor of u and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 508644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/44*(-2)\/(-6))\/((-2)\/76).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 201?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + a - 45, -3*x + 72 = 33*a - 29*a. Put -6, 4, 5, -3, x in ascending order.\nAnswer: -6, -3, 4, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 10, -3*h + 18 = -2*q - 0. Let l be 2\/q + (-14)\/3. Which is smaller: l or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -48*(-5)\/(-30)*(-9)\/6. Let i(j) = -j**2 + 10*j + 26. Calculate i(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90789\/2 - -43670. Let u = z + 1689. Find the common denominator of -67\/22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2\/5 (b) 1\/2 (c) 0.036 (d) 13.5 (e) -7\/6 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 2*x + 9. Let s be j(4). Let o(z) = s + 2*z - 2*z - z + z**2. Let h(k) = -k**3 - 8*k**2 + 6*k - 6. Determine -h(g) - 6*o(g).\nAnswer: g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:24 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i - 76. Suppose -5*q - 26 = -7*q. Let d be w(q). Calculate the greatest common factor of d and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Solve -5*c = -d - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 8*p + 1. Let x be q(7). Suppose x = -z + 3*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1563 + 14069\/9. Factor 0 - 4\/9*f + a*f**2.\nAnswer: 2*f*(f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3 + 3. Suppose -4*u + 268 = -l*u. Suppose 5*s = -g + 6*s + u, 0 = -s. Is g > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 1963.\nAnswer: 5889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 3\/5*s**2 + 0 = 0 for s.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1404\/(-756)*(-63)\/(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 5*t + 4*t + (-2*t + t + 0*t)*(0 + 1 - 2) + 24*t + 52*t - 22*t)*(-2 + 0 + 3)*(-t**3 + 3*t - 3*t).\nAnswer: -60*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 720743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6615413 to the nearest integer?\nAnswer: 2572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*n - 105*n = -9, 2*p + 3*n + 11 = 0 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9791 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17 + (44132\/(-119))\/22. Let i(n) be the first derivative of 0*n + 33 + 2\/21*n**3 - 2\/35*n**5 + 2\/7*n**2 - u*n**4. Let i(g) = 0. What is g?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5148 (base 13) in base 12?\nAnswer: 65a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/331 and -23\/27689.\nAnswer: 9165059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -807870275 divided by 161574055\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 10*c + 9. What are the prime factors of l(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2 = -2*u, -3*y + 0*y = 134*u - 133*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 3:37 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(9\/15))\/(18\/(-4)*8370\/7533).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 455 - 420. Let u be (-3)\/(-6) - 3\/6. Suppose -2*j = -4*v - 48, -5*j - 2*v - 5 + 149 = u. What is the greatest common divisor of j and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 4*s - 2*s)*(-s + 0*s - s)*(-9*s + 4*s - 3*s).\nAnswer: 64*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 127342981\/9 <= 14149221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 3\/4, -18, 93?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-128)\/22 - 60\/(-330). Suppose -u + 6 = -s. Which is the second biggest value? (a) 0.4 (b) s (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 12. Determine q(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 6*p**2 - p**2)*(3*p + p - 6*p + (1 + 1 - 1)*(-2*p + 2*p - p) + p + 0*p - 2*p).\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/266823699 or 0?\nAnswer: 2\/266823699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 1. Let p(v) = -v**2 - 4*v - 4. Let c(l) = -p(l) + 4*x(l). Let j(w) = -7*w**2 + 3*w**2 - w**2. Calculate c(j(s)).\nAnswer: 25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwxmz. What is prob of sequence xm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297202391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5078878457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - 20. Let s = -26 - p. Suppose 3*x - 24 - s = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3832)\/1437*-3*1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254988 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 302371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43578782*r**3 + 292*r**2 + 114*r + 420.\nAnswer: -261472692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111 + -30022?\nAnswer: -31133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -388 - 40?\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -4*o + k, -2*o - 4*k = -7*o + 224. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 448 + 3570. Let r be (-970199999)\/7 + 82\/a. Round r to the nearest 1000000.\nAnswer: -139000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = 109*y + 1615 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 + 16*v**2 - 46*v - 297. Let n be h(-5). Solve n = 30*y - 187 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g + 3*g)*(4 - 3 + 1) + (0 - 2 + 4)*(-846*g - 3301*g + 18460*g).\nAnswer: 28630*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 8:41 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-48))\/(10\/(-16))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*g + 2 - 11, -5*g - 2*s = -33. Let k = 0 + g. What is the remainder when 12 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52 - -54 - 77\/16 and -5\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s - 42. Determine d(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1046938517 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4))\/((-10)\/(-160)) - 3. Let a = k + -18. Solve a*s = -16 + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/75*2)\/((-1)\/5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -26. Let r = y - 9.87. Let g = 2.87 + r. What is the smallest value in -2, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*n + 51*n - 900 = 0. Let a = n - 446. Suppose -4*f - 1 = -9. Calculate the least common multiple of f and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14269\/4656 - 77\/97. Find the common denominator of -191\/546 and n.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipibppib. Give prob of picking 1 p and 1 i.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**0)**15*(x**(2\/3))**30*(((x**(-12\/5)\/x)\/x)\/((x\/((x\/((x*x**(-2\/11)\/x*x)\/x))\/x))\/x))**(-1\/22) assuming x is positive.\nAnswer: x**(21291\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 7:03 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 11:10 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 8 = 3*i + 7, -5*i - 25 = -5*l. Let t(p) = -p**2 - p + 2. Let z be t(l). Calculate the highest common factor of 18 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6320, -25374, -57124, -101564, -158688?\n\"Answer: v**3 - 6354*v**2 + v + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2145538046.\nAnswer: 2, 1583, 677681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 15 + 8. Let h = 69 + 46. Calculate the highest common divisor of j and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1306.58 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 + 50. Sort d, -4, -1 in ascending order.\nAnswer: -4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times 58?\nAnswer: -75.4","meta":{"dup_signals":{},"source":"arithmetic__mul_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: In base 7, what is 130 + -115?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbs when three letters picked without replacement from {y: 4, r: 2, c: 1, s: 3, b: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15 - 16) + (-2 - 1). Let h = f - -11\/3. Which is the third smallest value? (a) 1 (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6103 divided by -374\nAnswer: -359\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4716 - 0.2442. Let o = -0.117 + c. Let g = o + -0.1. Round g to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*((-31)\/(-217))\/((-2)\/(-273)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b - 12. Let q(v) = 7*v - 54. Let c(o) = 9*d(o) - 2*q(o). Give c(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 10 - 8 - 8*f + 8 + 3*f. What are the prime factors of v(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d + 33 + 13*d**3 - 6*d - 33 wrt d.\nAnswer: 78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 = -5*u + 599. What is the remainder when 91 is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/55)\/(287\/(-7380) + ((-35)\/252)\/5).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s**2 - 1054*s + 46200. Give c(82).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34988 (base 10) to base 9.\nAnswer: -52885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -0.4 (c) 1730 (d) -5 (e) -0.236\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 30*f = 32*f + 19, f = -5*n - 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)*q**8)\/(((q*q**(-1\/8)*q)\/q)\/(q*q*q**(-3))) assuming q is positive.\nAnswer: q**(33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -19*j**2 + 18*j - 3. Let b(d) = -42*d**2 + 38*d - 6. Let y(t) = -3*b(t) + 7*s(t). Let v(a) = 6*a**2 - 11*a + 2. Determine 5*v(g) + 4*y(g).\nAnswer: 2*g**2 - 7*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2334 (base 5) to base 4\nAnswer: 11120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 - 72. Suppose -4*y = -2*l - l - 46, 0 = l - y + 17. Let o = l + t. Solve o*z = 2*s + 6, -2*z = -3*s + 8*s - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 21593924634?\nAnswer: -21593924629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -142*t - 6471598 + 6476568 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1)\/h)\/h)**(2\/9)*(h*h**0)\/h**(-2\/17) assuming h is positive.\nAnswer: h**(103\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**3\/3 + y**2 + 16*y - 7. What is the tens digit of n(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-15 + 9 - -1). Let k = -62 - -60.04. Let w = 0.04 - k. What is the closest to w in -2\/5, h, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, t: 2, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 1839489787 and -517317.\nAnswer: 1838972470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10703687.2 + 10703592.200082. Let i = 95 + q. Round i to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*8\/18 + (-12)\/6. Which is the nearest to 2? (a) 3 (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) 794 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 9:52 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -130 (c) 2\/15 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 192149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 140291\/3 - 46247. Let q = k - 21379\/42. Let b = 572833\/18 - 31816. What is the common denominator of q and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**4\/12 - 10*a. Let x be m(0). Suppose -16*r + 14*r + 64 = x. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*r - 4*r - 4*r)*(32239 - 32238 + 2*r - 4*r - 2*r**2) in the form q + s*r**2 + w*r**3 + h*r and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.073 + -2.3.\nAnswer: -2.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 9, 122, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 725919?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 3711186?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23153984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134 + 134 + 8*h)*(0*h**2 - 2*h**2 + 3*h**2 + 3 - 3 - 2*h**2 + (-h - 2 + 2)*(1 + h - 1) - h**2 + 3 - 3).\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1097 + -1100. Which is the closest to 0? (a) 1.49 (b) t (c) 0.3 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 11*o**2 + 10*o + 17. Let t(j) = j**2 - 4*j - 22. Let l be t(8). Let m(h) = 18*h - 6. Calculate the remainder when m(4) is divided by w(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*sqrt(896))\/(sqrt(200)*1).\nAnswer: -96*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 8*v**2 + 9*v - 9. Let s be o(7). Suppose -5 - 10 = -s*p. Suppose 2 = -d + 10. What is the least common multiple of d and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64965\/(-1775) - (-1 + 14) - 7\/((-210)\/18).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 159, 165, 171?\n\"Answer: 6*d + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.587 (b) -1\/5 (c) -2 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/(-30))\/1*4\/48?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -15, 0, 0.2 in decreasing order.\nAnswer: 0.2, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55820399093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 1)*(-2*n**5 + n - n) + n - 2*n**5 - n.\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 2*b + i, -3*b + 51036 - 50929 = 4*i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/6)\/((-3)\/8). Let d be (-3)\/(-6) - (-2)\/y. Suppose 5*p = 2*z + 3, d = 3*p - 5*p + 2*z. Let n(u) = -6*u**2 - u + 1. Calculate n(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -20*j**2 + 18. Let a(h) = h**2 - 1. Let s(x) = 36*a(x) + 2*o(x). Let r(i) = -i**2 + 3*i**2 - i**2. Let f = 14 - -8. What is f*r(v) + 6*s(v)?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, -3, -1\/2174, -4, -1, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -4dd?\nAnswer: 4d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*((-8)\/20 + 2). Solve -a = a - m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*p + 7*p**3 + 5*p - p**3 wrt p?\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 13*z + 513. Let h be m(-30). Solve -3*v + 24 = v + 4*q, -6 = v - h*q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24959 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15339 < 15394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 7, b: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 89, 284, 571, 944, 1397, 1924, 2519?\nAnswer: 3176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 9 = -3*l, 0 = 3*l + 852*v - 851*v - 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 15072401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 40 + (2 - 36) + (3 - -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -649606010426512\/51579 + 12594389394. Let r = -1\/4689 + b. What is the common denominator of r and 3\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1995 < -13416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-5)*85\/(-34)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*y + 33, 2*x + 2*x + 58 = -2*y. Let w be (2\/3)\/(2\/x). What is the second smallest value in w, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11519 is divided by 11340.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 47*s. Let g(h) = -h**2. Determine d(g(j)).\nAnswer: -47*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10408.\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4713852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -91, -189, -335, -553, -867, -1301, -1879?\n\"Answer: -4*g**3 - 70*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-14) - 30\/(-105). Which is the second smallest value? (a) k (b) 0.4 (c) 1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -15.27 and 49.\nAnswer: 33.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 4:59 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 + 1543*k**2 + 8*k + 165 - 305 - 5656*k**2.\nAnswer: -4113*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 14. Let f be s(9). Let x be -4*2\/f + (-2 - 1521000). What is x rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 3223\/4, 0.5?\nAnswer: 3223\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1.228*0.073817\nAnswer: -0.090647276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 18 = 5*d, 4*d - 3*q = 11 + 9. Let v(f) = 8*f**3 + f**2 + 29*f + 6. Let i(p) = 3*p**3 + 11*p + 3. Let z(m) = -5*i(m) + 2*v(m). Calculate z(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 9*a**2 + a - 8. Let m be g(9). Solve i + 0*i - m = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*1*(11 + -24). Is 1 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0043330214 rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/11022 + 137755\/44088. Suppose -v*o - 9\/4 - 7\/8*o**2 = 0. What is o?\nAnswer: -18\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + z + 7. Let b be c(-4). Let t be 2\/9 - 992\/(-72). Calculate the greatest common factor of b and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26830, 27041, 27390, 27877, 28502?\nAnswer: 29265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157*g**6 - 2*g**4 + 2*g**3 + 5*g**2 - 1306.\nAnswer: -18840*g**3 - 48*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -26*w**3 - 3*w**2 + 3*w - 1. What is z(1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40480823 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 7 - 125 = 0 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11193140 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 3*f + 6*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-1\/10)*u**(-2\/3)*u*u\/(u**(1\/5)*u*u)*u*(u*u**(-1\/2))\/u*u**(-1\/5)*u*u**(-1)\/u*((u\/((u**(-2)\/u*u)\/u*u))\/u)**(4\/37) assuming u is positive.\nAnswer: u**(-139\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -11*g + 1219. Let b(v) = -2*v + v**2 - 2*v**2 - 16*v + v. Let x be b(-17). Is j(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:35 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c + 104. Let h be ((-8)\/14)\/((-12)\/714). Calculate the lowest common multiple of 14 and o(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -22*r**2 - 22*r - 72. Let s(g) = -9*g**2 - 9*g - 29. Give -5*c(b) + 12*s(b).\nAnswer: 2*b**2 + 2*b + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -25. Let r = v - -17.1. Let h = -0.6 + r. Which is the closest to 2\/3? (a) -0.4 (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 1\/6*o**3 - 16*o + 0*o**2 + 0. Suppose 0*n + 24 = 4*n. Calculate z(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010101 (base 2) in base 3?\nAnswer: 110122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*u + 3906 = 50*u. Let f = 38 - 8. What is the lowest common multiple of f and u?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -2\/5, 0.08.\nAnswer: -2\/5, 0.08, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 893*g - 311415 = -3593*g + 150643 for g.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77810 by -5.\nAnswer: 15562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**3 - 2*w**3 - 5*w + 8 - 4*w + 15*w to the form h*w**3 + b*w + m + i*w**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -5*o**3\/6 + 495*o**2 - 98010*o - 1266. Factor w(x).\nAnswer: -5*(x - 198)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20185413 divided by -6728471.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 880 (base 14) in base 5?\nAnswer: 23210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -35. Suppose -b*k - k + 168 = 0. Suppose w - 12 = 3*p, -3*w + 7*w - 2*p - 28 = 0. What is the highest common factor of w and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-3))**30)**45 assuming b is positive.\nAnswer: b**5400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n - 3*n - n + (5 - 4 + 0 + (-3 + 2 - 1)*(0 + 2 - 1) - 2 + 0 + 1 + (-2 - 3 + 6)*(4 - 3 + 1) + 36 + 45 + 40)*(0 + 2*n + 0).\nAnswer: 238*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 d when three letters picked without replacement from {g: 1, n: 1, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a - 4. Let d(g) = -2*g + 4. Let h(f) = 6*d(f) + 4*x(f). Let q be h(0). Solve -q = -c - c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3124 by -781.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19211, -23802, -28391, -32978, -37563, -42146?\nAnswer: -46727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 81761853 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666412 is divided by 788?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46964 by 186.\nAnswer: 23482\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3\/2 - 227*k**2\/6 + 2128*k\/3 + 722\/3 = 0.\nAnswer: -1\/3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 4, 2\/17, 2, 1, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 19*h - 15. Let p be y(18). Solve 0 = l - 3*s - 12, 0*l - 4*s = -p*l + 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -160 - -152.7. Let g = 74 - 81. Let l = w - g. Which is the second biggest value? (a) -0.2 (b) l (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*k - 7*k. Let d be k\/6*8\/(-3). Sort d, 2, 3.\nAnswer: 2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/10 - (-12)\/(-30). Let v = 18 + z. Let b = v + -8. What is the remainder when 17 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222098 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + 25 + 6 = -y, 83*y = 95*y + 4*t + 236 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47598622023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 23*d**2 + d - 8. Let k be a(23). Solve -5*g + 0 = -k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*q + 374*q**3 - 376*q**3 + 201*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + (sqrt(300) - (sqrt(300) + sqrt(300)*3 + -1)) + -4*sqrt(300)*3)*-6)**2.\nAnswer: -10080*sqrt(3) + 2116836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 241394588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4459 = 14*x - 9510 - 76079. What are the prime factors of x?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 180 + -182. Sort -0.3, -2\/11, -28, y in descending order.\nAnswer: -2\/11, -0.3, y, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 13 = -47. Which is the closest to 1\/5? (a) 3\/4 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(12\/9)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v - 12. Suppose 0*a + v = a, 4*a - 22 = -5*d. Let x(w) = w**3 + 2*w**2 - 2*w - 1. Calculate the remainder when 19 is divided by x(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 2, w: 2, o: 8}. Give prob of sequence coo.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-9) + 3)\/((-570)\/(-76))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n**2 - 2 + 1 + 2*n - 47*n**2 + 14540*n**3 - 3*n.\nAnswer: 14540*n**3 - 68*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 109*h**2 + 37560*h + 10574. Determine o(147).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 + 2*y. Suppose -2*s - 10 = 8*s. Let r be l(s). Let x = 56 - r. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10056 - 9407. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/7)\/f**(-7\/3))\/(f*f**(-14)*f\/f**2) assuming f is positive.\nAnswer: f**(340\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 + -157.3. Let y = -0.1 + 0.2. Let a be (-15)\/10*2\/12. Sort o, y, a in ascending order.\nAnswer: o, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + k**2 - 5*k**2)*(-3*k - 2*k + 4*k) + (5 - 25*k + 3 + 27*k)*(2*k - 2*k - 3*k**2) + 87*k**3 + 25*k**3 - 64*k**3.\nAnswer: 44*k**3 - 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 0 - 1\/2*v**3 + 0*v + 1\/60*v**5 + 2*v**2 - 1\/12*v**4. Let p be 4\/(-10) + 168\/20 + -4. Give f(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154 - 135 + 68*j - 63*j + 114*j**2 wrt j?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/18319 and 29\/3?\nAnswer: 54957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-5) + 54\/10. Suppose -3*i = -g*i + 6. Solve 0 = 7*w - i*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -309 + 328. Suppose -2*o - i + 5 = 2*g, -5*g = 3*o + 17. Let p(s) = -4*s - 7. Give p(o).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -26*q - 2. Let j(d) = -9*d - 1. Let r(c) = -5*c + 11. Let k be r(5). Let u(y) = k*j(y) + 5*m(y). Differentiate u(a) wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**3)\/(n\/((n**3*n)\/n)*n)*n**(-1\/8)*n*n**(1\/3)*(n*n**(-1)*n*n*n**(-3)\/n)\/(n**0\/n)**37 assuming n is positive.\nAnswer: n**(845\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -56, -6.\nAnswer: -56, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 113\/7 + -16 - (-3)\/(-7). Which is the smallest value? (a) 4 (b) -2 (c) 11 (d) n (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.49 - -0.12.\nAnswer: -1.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*x - 4*c, 2*x - 3*c + 17 = 30. Let o(q) = 4*q - 7. Let d(i) = i - 1. Determine x*o(b) + 3*d(b).\nAnswer: -b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 - 72 + 58 = 8*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 386480\/153 + -2526. Calculate the common denominator of 4\/119 and a.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, f: 5, o: 3}. What is prob of picking 3 f?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6949, 36, -4.\nAnswer: -5, -4, 36, 6949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, w: 2, b: 4, k: 3, g: 1, n: 4}. Give prob of sequence iniw.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 21. Let r be ((-2)\/4)\/((-2)\/v). Let q(s) = s**3 - 3*s**2 + 4*s - 3. Is q(r) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003762432009 to 5 dps.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 3*p**2 + 2 - 6*p - 15*p**2 + p**3 + 7*p**2. Suppose 2*u + 3*t - 2 = 2, 19 = 5*u + 3*t. Give l(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.99 and 123.192?\nAnswer: 121.96008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l**2 - 14*l**2 + 28*l**2 + (0*l + l - 3*l)*(l - 4*l + l)*(1 + 1 - 1 + (-1 + 4 - 2)*(-2 + 6 - 2) + 33 - 21 - 16) as h*l**2 + g*l + t and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3*105\/14. Let o be (2\/u - 0)*20. Calculate the remainder when (o\/16)\/((-1)\/134) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**3 + 2*y**3 + y**3 + (3*y**3 - 6*y**3 + y**3)*(-3 + 3 + 3) + (4*y - 28*y + 8*y)*(2 - 2 + 2*y**2) as z + n*y + x*y**3 + o*y**2 and give x.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.3. Let g = -1.3 + p. Let r = g - -2. Is -2 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1009 + 3351. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -29. Let v(z) = -z - 4. Let q be v(s). Suppose 5*j - 12 + 2 = q. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -1. Let r = z - 6. Factor -10*u**4 + 12*u**2 + r*u**5 + 9*u**3 - 2*u**4 + u**5 - 12*u.\nAnswer: 3*u*(u - 2)**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:39 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 316, -2, -1, -60, 32 in descending order.\nAnswer: 316, 32, -1, -2, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 49*t + 5146 = -1374. Which is smaller: t or -204?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 204\/(-9)*12\/8. What is the tens digit of v\/(2\/(-3)*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128.978 + -0.022. Let o = 20.2765 - -108.7305. Let p = o + u. What is p rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23\/72? (a) 1\/26 (b) -0.03 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 25 + 10 = -3*m, -25 = -g - 5*m. Solve -20 = -4*s - g*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001 + -110000102020?\nAnswer: -110000101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001211 (base 3) to base 15.\nAnswer: -36d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -14. Suppose 2*t = 7*t - 35. Suppose m - t = -4*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 + -124. Let s = -4.991 + -0.109. Let h = s + 0.1. Which is smaller: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k. Let y(r) = -r**2 - 13*r. Let j(x) = 22*i(x) - 2*y(x). What is the second derivative of j(d) wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*k - 46*k**2 - 40*k + 27*k**2 - 8*k**3 as t*k + h*k**2 + d + n*k**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0 - 3*i**2 + 3\/20*i**5 + 0*i - 1\/2*i**3 + 1\/4*i**4. Factor n(v).\nAnswer: 3*(v + 1)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3) - (-3)\/(-9). Let d(q) be the first derivative of 5*q**3 + q**2\/2 + q + 1. Let c be d(-1). Solve k = -f + 4*i - c, -3*f = 2*i - i - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010165 (base 8) to base 5.\nAnswer: 113403001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 10*u - 20. Let n be g(-9). Let m = -27 - n. What is the third derivative of -22*b**m - 3*b**3 + 16*b**6 + 27*b**2 + 3*b**3 wrt b?\nAnswer: 1920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/7 - 552*r**3 - 657060*r**2\/7 - 4231448*r - 4138134 = 0 for r.\nAnswer: -1749, -91, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -31 + 18 + 40\/4. Suppose 6 + 2 = 2*p. Put p, -2, w in descending order.\nAnswer: p, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439.5 at most -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r + r)*(11 + 1842*r**3 - 3*r**4 - 1842*r**3).\nAnswer: 3*r**5 - 11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67627, -135253, -202879, -270505, -338131?\nAnswer: -405757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*l + 14, 0*l + 7 = 3*l + p. Solve 2*w - 10 = -l*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17249 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, 6, -0.1, 2, -17?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23314354 is divided by 5469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + 1 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1415 and 880979.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 41*g - 90*g + 19*g. Let k(d) = 17*d. Give q(k(n)).\nAnswer: -510*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-174)\/(-3))\/(-22*(-3)\/99*-3)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (13 - -1) - 8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 10*l**2 + 10*l - 7. Let m be v(-2). Let b = 1 + 1. List the prime factors of 50 + (b - -18)\/m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 - 55. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 48, 102, 156, 210, 264?\n\"Answer: 54*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**6*w\/(w\/w**(-1\/7))*(w\/(w**10*w))\/(w*w**10) assuming w is positive.\nAnswer: w**(-106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 34*c + 99. Suppose -6*i + 2*j + 13 = -3*i, -j = -3*i + 17. What is the tens digit of p(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 876 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -245\/491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 185*h + 19. Let s(i) = 82*i + 9. Let v(g) = 4*m(g) - 9*s(g). Let x(z) = z - 1. Give -v(l) + 3*x(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5 - 1 = 0. Suppose 11 = -s + 5*t + q, -t = -s - 1. Let u be s*-1*2*-2. What is the second smallest value in u, 5, -5\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -100 and -71186.\nAnswer: 7118600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 5*p - 4*p + p**2. Let z(c) = 20*c - 3. Let n(y) = 340*y - 50. Let l(v) = -3*n(v) + 50*z(v). Give l(t(f)).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7)\/z)\/(z\/((z**(-4\/7)*z)\/z)))\/((z**27*z)\/(z**(-5\/13)\/z)) assuming z is positive.\nAnswer: z**(-2882\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - -28. Suppose 2*i + 18 = f. Let t be i + 0*(-3)\/6. Solve 0*b - b - 6 = y, 5*b + y + t = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*u + 7*u. Is u*(0 + 7604\/(-8))*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, -1\/7, -573, -4, -5, 22, -2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, -11, -177\/2, -0.3, 108?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -79*h. Let n(k) = -76*k. Calculate z(n(a)).\nAnswer: 6004*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507697055?\nAnswer: 5, 23, 29, 41, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/5777 - -2449460\/17331. Determine i so that -44\/3*i**4 - 532\/3*i + d*i**2 - 40\/3*i**3 + 196\/3 - 4\/3*i**5 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*g**2 + 2 + g**3 - 13*g**5 + 4*g**5 + 2*g**5 + g**5 wrt g?\nAnswer: -360*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/13)*t*t**(1\/4)*t*((t**(-1)\/t)\/t)**(-3\/2))**(-20\/7))**(-2\/77) assuming t is positive.\nAnswer: t**(330\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**6\/720 - 55*i**4\/12 + 33*i**2. Let r(s) be the second derivative of y(s). Let t(k) = k**2 + 15. Give r(t(n)).\nAnswer: n**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1008048, -3 in ascending order.\nAnswer: -1008048, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*-6*(sqrt(700) - (sqrt(700) + (3*(1*sqrt(700) - sqrt(700)))**2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/6 + 9*i**2\/2 + 14*i\/3.\nAnswer: -i*(i - 28)*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - z**2 - 37 + 33*z**2 to b*z**2 + n*z + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 975, 2070, 3569, 5472, 7779?\nAnswer: 10490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 + 28*f**2 - 33*f - 44. Give o(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 10. Let f = -3553.48536 + 3556.48535959. Let x = s - f. What is x rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23533595.1717 - -0.5?\nAnswer: -23533594.6717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c + 7. Give m(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**3 + 2*y**2 + 6. Give f(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 777432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -2.0812899.\nAnswer: -4.1625798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 744812 to the power of 1\/2, to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j + 29*j - 46*j**2 + 3*j**2 + 15*j.\nAnswer: -43*j**2 + 54*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 12*g**2 - 12*g + 11. Let s be t(11). Suppose 0*m + m = 1. Let x be m + 0 - -1*3. Solve s = -c - 5, 0 = 2*l - c + x*c + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 1\/12*k**4 - 3 + 0*k - 1\/9*k**3 + 0*k**2. Factor f(a).\nAnswer: a**2*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -326.57 * 2\nAnswer: -653.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2120 + 35343045?\nAnswer: 35340525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1564605*j + 521596*j + j**2 + 521596*j + 521413*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105287 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -62212507 and 9.\nAnswer: -62212498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 17. Suppose n*h - 8*h - 4 = 0. Suppose -3*s - h*d + 17 = 0, -s - 3*s - 2*d + 26 = 0. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c - 2*c**2)*(-c**2 + 2*c**2 + 0*c**2) + 0*c**4 + 4*c**4 + 0*c**4 + 2*c.\nAnswer: 2*c**4 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.5 (c) 922972 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 189 + -115. Let f = w - 71. Suppose 5*q - 5*x = 98499985, -59100006 = -0*q - f*q - 2*x. What is q rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 284*g**3 + 668*g**3 + 33318*g**2 - 33318*g**2.\nAnswer: 952*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1170826516\/3 less than or equal to -390275506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.013 + -0.018. Let v = 0.03042 + z. Round v to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.7*-3.\nAnswer: 29.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (12 + -10 - (-1 + 3)) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -158, -129, -98, -65, -30, 7, 46?\n\"Answer: r**2 + 26*r - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-16)*8\/(-56)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(12\/(-30)*5) - (-13 - -8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 7, d: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h - 59. Let i(n) be the second derivative of -n**3\/2 + 29*n**2\/2 - 9*n. Let f(t) = 9*i(t) + 4*k(t). Differentiate f(o) wrt o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 8*g**2 + g - 2. Let k be (-50)\/(-325) - 318\/39. Give r(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -39. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 777 = -5*w - 785, -2*z = 3*w + 9. Sort 12, w, -3.\nAnswer: -3, w, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22539, -45070, -67593, -90108?\nAnswer: -112615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 40*o**2 + 36*o - 51. Calculate f(-39).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2218 - 2199. Solve 24*p - s - 29 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 78*s + 284*s + 4.\nAnswer: 206*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b8070 (base 14) in base 8?\nAnswer: -3576662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w**3 - 7*w - 10. Let y(d) = 5*d**3 - 4*d - 5. Let k(r) = -2*r**2 - 6*r + 180. Let t be k(-11). Determine t*j(m) - 7*y(m).\nAnswer: m**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 9*s + 5. Let u be f(9). Suppose -u*h + 13 + 12 = -3*w, -4*w = h + 18. Find the first derivative of h - c**2 - c**2 + 3*c**2 wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55762530 divided by 489145.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 l when four letters picked without replacement from {b: 5, w: 7, l: 2}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 90 - 108. Let r be 0 - j\/39 - 20\/(-130). Calculate the common denominator of -69\/16 and 1397\/132 - ((-1)\/(-1) + r).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2692 from 751076.\nAnswer: 748384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/3*12\/10. Let d(m) = m**3 + 6*m**2 - 8*m + 9. Let j be d(-7). Suppose 30 = -t*u - 3*w, -2*u - 2*w + 0 = j. Sort u, 1, -5 in decreasing order.\nAnswer: 1, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*o - 46, -13 = 4*o + 5*f + 49. Let u be -3*20\/o*3. Suppose u*g - 9 = 9*g. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 208*s - 2898. Let p be x(15). Which is the nearest to -1? (a) 2 (b) p (c) 0.131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2, 1, -3, 71, -4, -1 in descending order.\nAnswer: 71, 11, 1, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -171.828104 + 1628\nAnswer: 1456.171896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18313*c**2 + 18307*c**2 - 36622*c**2 - 1067.\nAnswer: -2*c**2 - 1067","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15013 - -1052?\nAnswer: 20105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32537541546 + -816789905533538\/25103. Let b = g - -2\/1931. Calculate the common denominator of -9\/5 and b.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6061 + 6012. What is the closest to 0 in 29, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -4*g - 8*y, g + 10*y - 90 = 4*g + 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 245.2275 millilitres?\nAnswer: 0.2452275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -22685 >= -22683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**5 + 3*p**4 - 5*p**3 + 83*p**2 - 5. Let h(i) = i**5 - i**4 + i**3 + 1. Let s(u) = c(u) + 5*h(u). What is the third derivative of s(w) wrt w?\nAnswer: -120*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 - 1. Suppose 8*p = 6*p + 150. Let z be ((-1)\/(-3))\/((-25)\/p). Determine c(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101.955824292 - 893.073172422. Let z = 808.117348 + i. Let f = z - 17. Round f to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, l: 2, b: 4, n: 1, z: 1}. Give prob of sequence bobl.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -300*(5 - 4125\/(-9)). Round o to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31304, 125824, 283358, 503906, 787468?\n\"Answer: 31507*i**2 - i - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + (1 - -3) + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*w - 1. Let f = -0.202 - 92.798. Let g = 92.5 + f. What is the fourth smallest value in g, w, 5, -0.13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**3 - 7*y**2 - 7. Let l(v) = 3*v**3 + 4*v**2 + 4. Let t be 2 - (17 + (11 - 22)). Let q be 4*(-2)\/(-4) - 9. What is q*l(b) + t*o(b)?\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 989243.\nAnswer: 5\/989243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/(-10))\/4)\/(64\/640)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 4*o + (2 - 2*o - 2)*(-1 + 3 - 3) - 8 + 8 + 9*o + (o - 3*o + 0*o)*(1 - 1 - 2).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 8 = 3*q - 13, 3*a = -2*q - 1. Let j(b) = -b + 3. Let k be j(q). Let u(r) = -77*r**3 + r**2 + r. Is u(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20443119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507 greater than or equal to 1479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567676498 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 469\/5 - 7389\/80. Calculate the common denominator of p and 101\/88.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1592\/44 + (-6)\/33. Let d = 0 + -1. Calculate the lowest common multiple of 3 and (d\/2)\/((-2)\/s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**3 + 3*i**2 - 4*i - 1. Let m(c) = c**2 - c. Let a(o) = b(o) - 5*m(o). Let d be a(-2). Let y = 96 - d. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*r + 193, 2*r - 175 = -3*o - 37. Let m be (1\/(-12))\/((-14)\/r). Suppose 4*w = -5 - 3. Which is the closest to -5\/4? (a) w (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**4\/2 + 4595905*p**3\/2 + 16085750*p**2 + 36767490*p + 27575640 = 0.\nAnswer: -3, -2, 919188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*n + 1. Let m be 9 - (n + 1 - 2). Let w be 1\/3 + m\/3. Let v(k) = k**3 - 5*k**2 + 3*k - 1. What is v(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 944 = -14*h. Let u = h + -116. Put 5, u, -4 in descending order.\nAnswer: 5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110 * -65.\nAnswer: -7150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 3*v - 10*g - 5, 5*g + 15 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2*4*14\/4. Suppose 0 = 2*f + h + 16, -f - 19 - n = -4*h. Let z = 90 + f. Is z a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2299) + -3 - sqrt(2299)) + sqrt(2299)).\nAnswer: -55*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 292.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from jnvjvjnvzvvqv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 442, 1775, 3998, 7111, 11114?\n\"Answer: 445*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155*g - 701*g + 2 + 1219*g to the form c + z*g and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -431322 + 2?\nAnswer: -431320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*h - 360 = 0. Suppose 4*z - h = -0*z. Suppose 0 = 5*k - 3*i - 37, -2*k + 7*k - z = 5*i. Solve o = 6*o + k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 28*a + 58 = 0, -54*t + 5*a - 45 = -59*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114 - -240. Is 42 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-25)\/3)\/((-1)\/3). Suppose 2*l + 14 + d = 5*r, -27 = -5*r - 4*l. Calculate the smallest common multiple of 5 and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -5. Suppose -17*f + 3 = -16*f. Let z = -28 + 30. What is the third smallest value in f, z, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, v: 3, i: 6, q: 2, m: 2, x: 2}. What is prob of picking 1 x, 1 q, and 1 c?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 3)*(2 - 3 - 1)*(20*l + 146*l + 635*l)*(0*l - 5*l + 3*l).\nAnswer: -16020*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210, 346, 410, 402, 322, 170, -54?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-5)))\/(d\/(d\/d**2))*(d**(-1\/4))**(-5) assuming d is positive.\nAnswer: d**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2376546.\nAnswer: 2, 3, 396091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 294332, 294345, 294368, 294407, 294468, 294557?\n\"Answer: i**3 - i**2 + 9*i + 294323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vttvtttvttevwtttevvv.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/28880 and -103\/4368?\nAnswer: 7884240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 321\/5 + -324\/5. Which is the closest to 1\/2? (a) 0.4 (b) o (c) -1\/4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*i + 65*i = -3232. Suppose 4*t - 939 = i. Calculate the remainder when t is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 6*n - 37. Let p be b(10). Sort p, 5, -5, 1.\nAnswer: -5, 1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - -333cb1?\nAnswer: 333cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180840, -180767, -180570, -180189, -179564?\nAnswer: -178635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(27\/240) + 4. Let f = q - 77. Suppose 4*m = f*m + 21. Let i(z) = -2*z - 10. Determine i(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, m: 2, g: 3, h: 6, q: 1}. What is prob of picking 1 q and 1 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 115334400 to the nearest 100000.\nAnswer: 115300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -132*v**2 + 688*v - 140. Determine g(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011100010001100011110 + 100?\nAnswer: 11011100010001100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d - 3*d - 4 + 2*d)*((0*d - d + 0*d)*(-4 + 1 + 4) + 2 - d - 2 - 2 + 2 - d) - 9*d + 9*d + 50*d**2 to i*d**2 + f*d + g and give i.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7176 + -7166. Let g(a) = -a + 7. Let r be g(7). Suppose -11 = -s - r. Calculate the lowest common multiple of n and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2888)\/(-320) - 9)\/((-106)\/530) + 18\/80\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1572 and 5854128.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j**3 - 1)*(-j - j + 3*j) + 0 + 3*j**4 + 0.\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -439 divided by 7.\nAnswer: -439\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y + 17. Calculate d(-12).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.8 in 14\/215, 3, -19, -0.7, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, r: 2}. What is prob of picking 1 r and 3 m?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000031827 rounded to 7 dps?\nAnswer: 0.0000318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17\/3 + 6. Let j = -11 - 6. Let d = -12 - j. What is the nearest to f in -5, d, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, 3, -0.2, 0.42, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3922*t**2 - 1284*t. Let c(b) = -27456*b**2 - 8987*b. Let j(n) = -3*c(n) + 22*g(n). What is the second derivative of j(w) wrt w?\nAnswer: -7832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 2*u + 0*u - 2*u - 4*u**2 to m*u + y + z*u**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1555 - -1558. Solve 7*g - 3 = 3*l + 4*g, d*l + 2*g = -13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -3. Let d(s) be the first derivative of -s**2\/2 + 5. Let t(z) = -z**2 + 5*z - 4. Let o be t(3). Let g(n) = -1. Determine f*g(r) + o*d(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 429.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 171.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 5*z + 24 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -9*f. Let v(s) = -126*s + 216*s - 88*s. Calculate 15*v(a) + 4*x(a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/47 (b) 1\/2 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + k**2 - 2*k**2 + (4*k**2 + 0*k**2 - 2*k**2)*(-2 + 1 - 2) + (-3*k - 3*k + 5*k)*(-7*k + 2*k - 16*k) + (-3*k - k + 2*k)*(0*k - 2*k + 3*k).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x - 3*d - 714, -3*d = 2*x - 461. Let i = x - 120. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19036?\nAnswer: 2, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 17 = -3*r, 408 = -r + 405. Sort 1\/9, j, -2 in descending order.\nAnswer: j, 1\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n - n + 2*n)*(407 - 1797 - 4705 + 380 - 347) to the form b + k*n and give k.\nAnswer: -6062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-12))\/(18\/16)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*i + 3721 = 0, 0 = 4*x + 69*i - 70*i - 7415. What is the remainder when x is divided by 230?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784124801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3072, -12293, -27670, -49209, -76916, -110797, -150858?\n\"Answer: -h**3 - 3072*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1137 and 281218?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25519?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*r**3 + 241*r**3 - 403*r**3.\nAnswer: -39*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157214 divided by 5.\nAnswer: -157214\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04146866 rounded to 3 dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**7\/630 - p**5\/12 - 3*p**3\/2 + 13*p**2 - p. Let m(q) be the third derivative of w(q). Let g(n) = -14*n. Determine g(m(f)).\nAnswer: -112*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305163?\nAnswer: 3, 41, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 3*k + 60 - 57, 0 = -4*d + k + 19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 5:35 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 plus -0.01959527387?\nAnswer: 8.98040472613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4360 and 35.\nAnswer: 30520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22577, -24910, -27241, -29570, -31897, -34222?\nAnswer: -36545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Express q - 3*q - 2*q - 3*q + 0*q + 4*q + (-2*q + 4*q + 0*q)*(4 + 0 - 2) + 1 + q - 1 + 2*q - 2*q + 2*q + 5*q + q + 2 - 4*q as v*q + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 40*l**2 - 5*l - 11. Let t(f) = 4*f**2 - 1. Let a(c) = -6*t(c) + x(c). Let j(m) = 143*m**2 - 44*m - 44. Calculate 44*a(u) - 5*j(u).\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-8*4\/(-8). Factor i**5 + 4 - 2*i**3 + i + x*i**2 - 6*i**2 - 3 + i**4.\nAnswer: (i - 1)**2*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**6\/3 - 5*k**3\/6 - 11*k. Find the second derivative of j(t) wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -628, -629, -630, -631, -632, -633?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i + 11. Let o be r(0). Let u = o - -26. Calculate the remainder when 183 is divided by u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 61*q**2 + 4594*q + 1405. Give o(-75).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/2 (b) 4 (c) 7 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 0*r**2 + r**3 - r**2 + 5*r - 4*r**2. Let d = 12 + -13. Let l be 9\/2 - d\/(-2). What is y(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 - -1) + 205\/35. What is the smallest value in 1\/5, k, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80336730 to the power of 1\/3, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/6))\/i**(-2))**(-46)\/((i\/(i*i\/i**0))\/i**(-1))**(-49) assuming i is positive.\nAnswer: i**(-391\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (131 - 0)*(6 + -10 + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10600831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17072 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -192 + 325. What is the greatest common divisor of u and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 11*x**3 - 144*x**2 + 275*x + 18. Calculate s(9).\nAnswer: -1152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -12*z + 76. Let w be i(7). What is the smallest value in 3, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.068, -1, -14.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 smaller than 258116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5.5738 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 396076 + -22575436\/57. Let f = 193\/190 + 7\/190. Let h = f - v. Calculate the common denominator of -119\/6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123200 and 4928.\nAnswer: 123200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, -28454, -114560, -286920, -574286, -1005410, -1609044, -2413940?\nAnswer: -3448850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 20*v - 221. Calculate n(31).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8190 + 8323 - 1035 = 142*d for d.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**5 - 21729*l**4 + 239262*l**3 - 870336*l**2 + 1044576*l = 0.\nAnswer: -7254, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 334.709 litres?\nAnswer: 334709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*b - 2*p + 502 = -68*b, -3*p + 396 = 4*b. What is the greatest common factor of 186 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -782*y**3 + 69*y + 460. Let h = 127 + -131. Let n(v) = -46*v**3 + 4*v + 27. Let x(l) = h*d(l) + 69*n(l). What is the first derivative of x(r) wrt r?\nAnswer: -138*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.751056 decades?\nAnswer: 47.51056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b\/b**(-13\/2)*b*b)**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - i - 1)*(-i**2 + i**2 - i**4) + 2*i**3 - 2*i**3 + i**5 - 2*i + 0*i - 3*i**5 + 51*i**2 - 50*i**2 + (100 - 100 - 7*i)*(-2*i**4 - 4*i + 4*i).\nAnswer: 13*i**5 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 141463?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20174)\/(-1012) - 20)\/(6\/(-8)). Put 54, t, 0.1, -5 in decreasing order.\nAnswer: 54, 0.1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*j - 2592 = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**3\/3 + 59*m**2\/2 - 122*m. Calculate the remainder when h(16) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4576 * -0.4.\nAnswer: -1830.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + 2 + 4 + 125 + -129?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + 2 + 0 + sqrt(1872) + ((sqrt(78) - (2*sqrt(78) + sqrt(78) + sqrt(78)))*5)\/((sqrt(48)*2)\/sqrt(8)))**2.\nAnswer: 9*sqrt(13) + 1037\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-300)\/36 - -10)\/(5\/6). Let k be 12*(-1)\/(-4)*c. Solve -k*j = -2*j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - (10 - (-12 + 19)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/(-5) - ((-4058036)\/85 - 7)?\nAnswer: 7, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112 or -673\/6?\nAnswer: -673\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*z - 5*v + 13, 5*z = 3*v + 5. Suppose 2*h = 4*r + 6, -r - 17 = -z*h + 23. What is the greatest common divisor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4517637684?\nAnswer: 2, 3, 7, 149, 360949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (258*x**2 - 3*x**3 - 258*x**2 + x)*(-6*x + 3*x + 4*x).\nAnswer: -3*x**4 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/((c*c\/(c\/c**(-1\/4)))\/c*c)*c)\/c*c*c)\/c**(-5))\/(c**2*c)**(-38)*(c\/c**(-1\/6)*c**0\/c)\/((c*c**(-1)\/c*c)\/(c\/(c*c**(2\/9)))) assuming c is positive.\nAnswer: c**(4399\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j = -701 - 1027. What is the greatest common factor of 90 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.434 + 6223659?\nAnswer: 6223658.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.205194237 - -0.5.\nAnswer: 1.705194237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 33350?\nAnswer: 33343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 1. Give u(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1820 is divided by 164?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 2:49 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 27*o**2 + 14*o - 217. Let g(l) = 22*l**2 + 16*l - 218. Let u(c) = 4*b(c) - 5*g(c). What is u(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -126843 in 5, 3, 0.07, 2\/5, 1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -2\/3 (c) -7 (d) 2 (e) -75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -1305461?\nAnswer: 1305462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -5, 0.23, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2. Let d = 235\/2676 - 1\/223. Let t(r) be the third derivative of 2*r**2 + 0*r + 0*r**3 + 0 + d*r**4. Calculate t(n(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 0 + 5 + 5*a - a. Let n(x) be the first derivative of 10*x**2 + 26*x + 1. Let v(z) = 11*l(z) - 2*n(z). Calculate v(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2*u**2 - 2*g**2*u - 8660*g**2 + 65803*g*u - 144 wrt u.\nAnswer: -4*g**2*u - 2*g**2 + 65803*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o + 3*o + 11*o + 11*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 41 - 8. What is the remainder when 19 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/630 and 38\/45?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.0245754 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1017*r**2 + 13*r**3 + 541 + 343*r**2 + 336*r**2 - 12*r + 338*r**2 with respect to r.\nAnswer: 39*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -s + 4542, 2141 = 5*r - 4*s - 9188. Let w = r + -4139. Let b = w - -3661\/2. Find the common denominator of b and -17\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 56*s**2 - 228*s - 1039. Give h(-52).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 357600 (base 12) to base 14\nAnswer: 1867a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 183744*f - 551218. Give z(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 9 + 147*g**2 - 12.\nAnswer: 147*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 + 3 + -1 + 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) - 22\/(-3). Suppose 0 = -v - v + t. Suppose -8*g + 68 = -v*g. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 175*y + 287 + 181*y - 354*y + 242 in the form h*y + k and give k.\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1315 minus -373081860.48?\nAnswer: 373080545.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from {b: 6, n: 1, f: 1, u: 4, c: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -104, -221, -338?\n\"Answer: -117*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + sqrt(700)*-1 + sqrt(700)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - u = 6, 5*j = -0*u + u + 14. Let w = -1446 + 1444. Which is the nearest to j? (a) 2 (b) -1\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**4\/12 + a**3\/2 - a**2\/2 - 2*a - 400. Let c(p) = -2*p**2 + 4*p - 2. Give 5*c(x) - 8*r(x).\nAnswer: -2*x**2 - 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**4\/24 - z**2. Let d(l) = 2*l + 4. Let b(p) = p - 2. Suppose -17 + 0 = 17*y. Let n(a) = y*d(a) - 2*b(a). What is n(m(v))?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65874522, -65874521, -65874520, -65874519?\nAnswer: -65874518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0.3, -100\/9, -30\/31?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55860 a multiple of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (16 + (6 - 10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 2 - 2)*-1. Let b be (-1)\/(-2)*(-4)\/i. Is 0 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 78\/(-45) + 0. Does 1 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230 and 12488425.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -18*m + 24*m - 6 - 14*m. What is the remainder when ((-53)\/4)\/(1\/(-4)) is divided by j(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7519166300 + -4.9.\nAnswer: -7519166304.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*z - 58*z + 632 = 0. List the prime factors of z.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 41*k**2 - 29*k + 403. Calculate b(-42).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 207*n + 96. Let g be u(7). Let q = g - 1065. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108000 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v + 1104 = 67*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2 - 2 - 3)*(7*h - 19*h - 3*h).\nAnswer: -30*h**2 + 45*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 2*j**3\/3 + 5*j**2 - 16*j - 9. Let c be m(-7). Solve 4*o + c = -2*a, -4*a + 3*o = -0*o + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -4*s + 5*z, -4*z - 10 - 19 = s - 19 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 137198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 8:58 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrrrrrkr. Give prob of sequence rrrk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -314, 38, -4, 1, 4 in decreasing order.\nAnswer: 38, 7, 4, 1, -4, -5, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1*5\/(-4)*(-1666)\/2380.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1082331 is divided by 90.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -21. Solve n + o + 6 = i, -3*o = -n - 0*n + 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 11*u**2 + 62*u + 411. What is r(-10)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1 (b) 0.27 (c) -2\/9 (d) -2 (e) -6618 (f) -10 (g) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3215*a = -68520 - 231762 - 53368 for a.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -11 + 3 + 1 + 4. Let w(g) = 12. Let a(q) = -2*w(q) - 9*z(q). Let s(j) = -j - 1. Give 2*a(n) + 6*s(n).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + 0\/(1\/(-1)). Let s be 0 + 3 + 15 + -1. Let x = -95\/6 + s. Sort 3\/5, x, v in decreasing order.\nAnswer: v, x, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2880) + 2*sqrt(2880)))\/(sqrt(160) + 2*(sqrt(160) - 1*sqrt(160))).\nAnswer: 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkmkkkmkkkmkmk. Give prob of picking 1 k and 3 m.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -6. Suppose -5*m + 2*m = -f - 9, 17 = -f + 5*m. Let o = f + q. Solve 0*t + t - 2 = o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 34*v = 4*v. Solve 5*g + 610 - 620 = v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837 + 2 + 2\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -z, 7*t - 2*t = 9*t + 3*t + 4*t - 2*z - 35 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1550300 and 518.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105792.\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = k - 40. Let u = k + -27. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1461*b = -1369*b - 2760 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24\/11*i - 32\/11 - 2\/11*i**4 - 6\/11*i**3 + 16\/11*i**2 = 0. Calculate i.\nAnswer: -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10 - (-7)\/(105\/(-16))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 6*z**2 + 11*z + 8. Let u(a) = -a**3 + 2*a**2 - 4*a - 3. Let r(q) = 40*q - 592. Let s be r(15). What is s*u(t) + 3*p(t)?\nAnswer: -2*t**3 - 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, p: 1, o: 3, c: 2}. Give prob of sequence pgc.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 31 = -13. Let c be m*((-90)\/28)\/(-5) + 3. Solve 0 + 8\/7*o**4 + c*o - 5\/7*o**5 - 8\/7*o**2 + 2\/7*o**3 = 0.\nAnswer: -1, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.90032367 from 2.\nAnswer: -4.90032367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9178?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -307 + 12362. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1.1, 77.9, 0?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (1 - (-6)\/(-2)). Suppose -z = -7 + 6. Sort z, q, 5.\nAnswer: q, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**3 + 43*g**2 - 13*g - 15. Let j be m(14). Which is the nearest to -2\/7? (a) -2\/3 (b) 2\/5 (c) j (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 56*i**2 + 557*i + 241. Calculate m(-9).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 8:54 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36956369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 5:25 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6026724 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 2\/7, 6, -6589, 4, -2\/15 in increasing order.\nAnswer: -6589, -2\/15, 2\/13, 2\/7, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -760*l**3 + 1063*l**3 - 4981*l**3.\nAnswer: -4678*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34710 divided by -6.\nAnswer: 5785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c**3 + 5*c**2 - 4. Let p(t) = 17*t**3 + 11*t**2 - t - 9. What is -4*p(a) + 9*z(a)?\nAnswer: 4*a**3 + a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 0*q**3 - 2*q - 55\/2*q**2 - 147 + 0*q**4 - 173\/5*q**5. Find the second derivative of y(b) wrt b.\nAnswer: -2076*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 2703?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 167.722002ms?\nAnswer: 0.000001941226875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*b - 168. Let w = -22 - b. Find s, given that 354*s**4 - 4*s**5 - 4*s**3 - 346*s**4 - s**2 + s**w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-1) + (-93*19 - 0). Let q = k - -15907\/9. Find the common denominator of 113\/10 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127 + -118. Sort 5, -2\/19, b, 0.8.\nAnswer: -2\/19, 0.8, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45\/16 - 463\/176. Let t = -73\/3 - -24. Let s = -5 - -3. Which is the closest to t? (a) s (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v + 7. Determine w(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 338*l**5 - 163*l**2 - 5*l + 10. Let a(y) = -168*y**5 + 82*y**2 + 3*y - 6. Let m(p) = -5*a(p) - 3*z(p). What is the third derivative of m(r) wrt r?\nAnswer: -10440*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -2390464321.\nAnswer: -2390464320.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 69277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**6\/15 - 2*x**5\/5 - 4*x**4\/5 - 8*x**3\/15 + 35. What is r in u(r) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from {h: 3, g: 3, a: 2}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5224730915 to the nearest integer?\nAnswer: 72282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (19 - (13 + 16 + -17)) + -31.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/51)\/(134*(-23)\/(-6164))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3. Let k(h) = h**3 - 52 + h**3 - 53 + 106. Give 3*g(f) + 2*k(f).\nAnswer: f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y + 17. Let v(p) = p**2 - 68*p - 294. Let r be v(-4). Let h(q) be the first derivative of -q**2 + 8*q + 1. Determine r*s(l) + 13*h(l).\nAnswer: 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004341054393 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 5:19 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007709 to the power of 1\/2, to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -4. Let q = 2.9 - 2.6. Which is the third biggest value? (a) q (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/264500 and 58\/245?\nAnswer: 12960500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 10*t - 7*t = -152, -5*q + 190 = -2*t. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 1. Let t = h + 3. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-3)\/(-102))\/(9\/36)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - c + 2. Let h be i(0). Suppose 0 = 2*z + h*z - 16. Solve -z*p + 1 = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + 5*v + 4. Determine r(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35203 + 35206. Let b = 5 + -3. Suppose 5 = b*c + 1. Solve s - 9 = -o + 4*o, -c*s = p*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -836*c**2 + 1507*c**2 + 1596*c**2.\nAnswer: 2267*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5\/3, -0.5, 4\/9, 0.04, -20, 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 54 = 4*z + x, 2*x + 8 = 0. Let k(b) = -1 + z + 5 - b - 3. Calculate the smallest common multiple of k(-1) and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20, -110, -266, -488?\n\"Answer: -33*m**2 + 9*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -64*h**2 - 26*h + 15. Let q(u) = -22*u**2 - 9*u + 5. Calculate 17*q(i) - 6*s(i).\nAnswer: 10*i**2 + 3*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 936 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**15\/y*y**(-5\/3))**39 assuming y is positive.\nAnswer: y**481","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(8 + -6 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*m = 378 + 35. Solve 0 = -y - 5*w + 11, -y + w - m = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 1079 = 7*t + 1115, 2*t + 2*a = -4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1.1. Let g(h) = h**3 - h**2 + 5. Let i be g(0). What is the closest to s in i, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 + a**4 + 0*a**4 + (-14*a**3 + 36*a**3 + 41*a**3)*(-4*a + 4*a - 1 + 3*a).\nAnswer: 190*a**4 - 63*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 2. Let n be 6\/10 + 291\/15. Let b be 2*(0 + -1)*(-455)\/182. Suppose 5*w = -n - b. What is s(w)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 9*n - 13. Let t = -59 - -65. Let z be i(t). Suppose -13 = z*p - 238. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 - -1 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/352 and -73\/27456.\nAnswer: 27456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1962 + -1635. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**3)**(-2\/43)\/((j*(j*j**(-1))\/j)\/j**(-1)) assuming j is positive.\nAnswer: j**(-39\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffb when three letters picked without replacement from cvfxbtf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 40 + (10 - -14) + -60\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84889 divided by -6540.\nAnswer: 84889\/6540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/10 - (-8)\/(-5). Let s = 5424 - 5398. What is the remainder when s is divided by (-1)\/(a + (-13)\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 17*u**2 + 0 + 8\/9*u**3 + 0*u - 1\/18*u**5 + 1\/180*u**6 + 1\/18*u**4. Factor v(n).\nAnswer: 2*(n - 4)*(n - 2)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11530, 12027, 12544, 13087, 13662?\n\"Answer: p**3 + 4*p**2 + 478*p + 11047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -18. Suppose -2*a = -152 + 156. Calculate the remainder when (-1 - -3) + a - (-55 + 8) is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -50 and -10.54.\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)\/(h*h\/h**(1\/8)*h))\/(h**(2\/3)*h\/h**(-6))*(h**(-1\/3)\/(h\/h**(1\/3)))**(5\/2) assuming h is positive.\nAnswer: h**(-505\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*t - 1712 = 0, 4*t + 1255 = 3*l - t. Suppose 424*j + 205 = l*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 24527?\nAnswer: 24525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (2 - -2) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 353*q**3 - 6*q**2 - 10*q - 11814. Let b(y) = -355*y**3 + 8*y**2 + 13*y + 11812. Let m(l) = -4*b(l) - 5*r(l). Differentiate m(j) wrt j.\nAnswer: -1035*j**2 - 4*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270572 and 161?\nAnswer: 1894004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*u + 1773 = 267, 1526 = 2*d + 5*u. What is d rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(-6))*d)\/(d*d**6))\/(d**(-1\/4))**(-3\/5))\/((d\/d**1)**(-11))**48 assuming d is positive.\nAnswer: d**(-243\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7402*-0.5.\nAnswer: -3701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4) - sqrt(40)\/(sqrt(10)*-1)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -235, -0.04, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10, -23, 3, -3, 8269?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -310 - -307. What is the nearest to 51 in h, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26401884 + -10181884. What is s rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 829 at most as big as -1\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -233961*f**2. Let w(v) = v. Give p(w(r)).\nAnswer: -233961*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 637 divided by -2\nAnswer: -637\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210121 - -21020101?\nAnswer: 12102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -8\/3*t**3 + 1 - 20*t - 1\/12*t**4 + 1\/20*t**5 - 10*t**2. Suppose m(o) = 0. What is o?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-12) - (-1)\/4. Let y = -145\/153 - -35\/17. Solve -y*b**3 + 2\/3*b**2 + 4\/9*b + t = 0 for b.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 v when four letters picked without replacement from jvqvjvvvjhhvmh?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4419)\/(-6) - (-2)\/(-4). Let r = d + -134. Is r a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 374*q - 16442. Calculate g(44).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-10) - (1 + -14). Let d be (-8)\/w*(-339)\/(-2). Let i = -55 - d. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -2, -0.073, 3\/20?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61017113?\nAnswer: 19, 3211427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 1. Let v(a) = 4*a + 3. Suppose 7*b + 2*b = -27. Let o(m) = b*u(m) + v(m). Let y(l) = 5*l**2. Calculate y(o(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 431 divided by -1?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 84?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r - 68. Let g = -81941\/5 + 16372. Which is smaller: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = 2*u - 55 + 187, -96 = 4*u + 4*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -99 from 15136758679.\nAnswer: 15136758778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57437762*n**2\/7 - 117426408*n\/7 + 60016968\/7.\nAnswer: 2*(5359*n - 5478)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2160 divided by -3?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/126 and 17\/6109500?\nAnswer: 128299500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 4 = -9*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 166? (a) 0.27 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 10:27 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 - (-1 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 487 * 10.8.\nAnswer: 5259.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.024, -3 in increasing order.\nAnswer: -3, -0.5, -0.024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4077577 - -2169269395\/532. Let d = c + 54\/19. Let l = d + 213\/28. What is the common denominator of -25\/7 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.117 - -0.087. Which is the closest to 2\/3? (a) -2 (b) n (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**4\/4 - 5*o**3\/3 + 2*o**2 + o - 9. Let i be h(4). What are the prime factors of 140 - (-2 + i)*4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(2 + 15\/(-9)). Suppose -n*h = -h - 60. What is the greatest common divisor of h and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4561.4 - 4561. What is the nearest to 0.3 in 1\/3, -9, 0, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/235690 and -47\/220.\nAnswer: 5185180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ritf when four letters picked without replacement from rirtrttittrfttt.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 - 12. Let q(f) = -9*f**2 + f + 25. Let g(m) = 13*k(m) + 6*q(m). Let w(l) = -65*l**2 - 35*l + 35. What is -35*g(n) - 6*w(n)?\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*m - 49*m + 12. List the prime factors of (86 + -1)\/(2\/m).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, l: 7}. What is prob of picking 4 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaq when three letters picked without replacement from jiiaijaqaaq?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5131498.\nAnswer: 2, 1117, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**5\/60 + 153*w**2. Let h(m) be the first derivative of -2*m**3 + 5*m**2\/2 - 6. Determine b(h(p)).\nAnswer: 36*p**4 - 60*p**3 + 25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58 + 65 - 660*f**2 - 124 - 152*f + 153*f**2 wrt f?\nAnswer: -1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1485291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 39884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000045458 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -234*l**4 - 114*l + 1 wrt l?\nAnswer: -2808*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153049018 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: Product of 6.9602 and 3.\nAnswer: 20.8806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -59*p**3*t + 126*p**3 + 5*t wrt t?\nAnswer: -59*p**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2941\/(-119) + 23)\/((-120)\/(-224)).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4240455 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18929541 and -4.\nAnswer: -75718164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + 952\/(-51))*27\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - f + 7533 = 0, 13*w + 5641 = 16*w - f. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24217, -24218, -24219?\n\"Answer: -i - 24216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-36)\/(-27))\/((-12)\/27). Which is the biggest value? (a) 26 (b) -3\/13 (c) r (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 9*q + 0*q)*(0 - 1 + 2)*(q**2 + q**2 + 0*q**2).\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447 = -2*k - 5. Is 33 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((4 - 4)\/5)\/(-5))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 47\/5, -6\/13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from jnjsnjpjjd.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 3*r**4\/16 - 3*r**3\/2 + 15*r**2\/8 + 9*r + 158. Solve y(u) = 0 for u.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57847504 to the nearest 100000.\nAnswer: -57800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 16. Calculate the lowest common multiple of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2\/5 + 160*q - 790 = 0.\nAnswer: 5, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -26.7. Let x = 1.4 + c. Is -10 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 138*g**2 + 14908*g + 391. Give y(-108).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Suppose 0 = -3*l, -f*g + 26 = -0*g - 5*l. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*k = 48, 0 = 3*c + k - 14 - 6. Let w be 7\/(-112)*-164 + (-2)\/c. Calculate the lowest common multiple of 18 and (w\/(-5) + (-1)\/(-3))*-6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from cccckccccllffclc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7*o = 0. Let k(h) = -h**2 - h + 3. Let i be k(o). Let y(w) = -1 - i*w - 1 + 5*w**2 + 8 - 4*w**2. Give y(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-2)*(-80)\/(-24). Put 7, k, 1 in ascending order.\nAnswer: k, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/36 + (-4498)\/(-9). Let r = j - 328. List the prime factors of r.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8793828 is divided by 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1261 - 1 - (4 + -6). Let n = r - 775. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**3\/3 - 3*b**2\/2 - 2*b. Suppose 5*i - 979 = 361. Suppose -9*p = -i + 340. Determine q(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11)*f**(3\/17)\/f*f)\/(f**(-6\/5))**34 assuming f is positive.\nAnswer: f**(2548\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**2\/2 + 552. Let p(k) = 4*k**2 + 14. Determine h(p(f)).\nAnswer: 4*f**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-609)\/45*(-294)\/343*30\/16 and 32\/1909.\nAnswer: 7636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -29. What is the second derivative of t*d - 135*d**4 - 9*d + 142*d**4 + 9*d wrt d?\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*u + 856. Suppose q = 2*q + 3*o - 227, -4*q + o + u = 0. Suppose s = q + 38. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -280\/4023 + -2\/447. Suppose 5*g - c + 2*c - 1 = 0, g - 3*c + 3 = 0. Which is greater: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6 - 19 + 7 + c + 3. Let f(i) = -6*i - 22. Let u(s) = 5*s + 17. Let k(o) = 4*f(o) + 5*u(o). Calculate -6*k(z) + 5*q(z).\nAnswer: -z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15\/22 - 1\/2. Let u = -0.2 + 0.5. Which is the third biggest value? (a) 2 (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17819 - -2.\nAnswer: -17817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -4 + -54 + 19 + 97?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 20511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -86\/113, 2, 1\/2 in descending order.\nAnswer: 2, 1\/2, -86\/113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2640*j**3*t**3 - 8*j**3 - 2*j**2*t**3 - 25312*j*t**3 wrt j.\nAnswer: -15840*t**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/9 + 4*s**2\/9 - 10*s\/9 - 4\/3.\nAnswer: 2*(s - 2)*(s + 1)*(s + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -871 + 802. Let g(v) = -11*v**2 + 1. Let b be g(-3). Let c = o - b. What is the remainder when c is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3812.51 rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 12647588?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2927, 5864, 8805, 11750, 14699, 17652?\nAnswer: 20609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 + 41*h**2 + 171*h + 346. Calculate j(-19).\nAnswer: -1820","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.381154375 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1315 - 603 + 246 = -39*d + d for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 108 = -0*z. Let f be (-94)\/z - (-6)\/(-27). Suppose 6*u + 5*t - 304 = 3*u, -u - f*t = -108. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:08 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18113939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04816 to 3 decimal places.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13151 (base 10) in base 16?\nAnswer: 335f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -497*h + 542*h - 90. Solve -h*y = f + 5, 8 + 17 = 5*f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**3 + 5*g**2 + 8*g**2 + g**3 - 14*g**2 - 3 to the form y + t*g + q*g**2 + r*g**3 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 3, -3, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**7\/560 - m**6\/48 - m**5\/10 + 3*m**4\/4 + 5*m**3\/3 + m**2\/2 - 26*m. Let r(b) be the second derivative of i(b). Factor r(x).\nAnswer: 3*(x - 6)*(x - 1)*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) 34\/9 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44154 and 583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*w - 4*q + 4, 4*q = 5*w - 66. Let o(j) = j**3 - 3*j**2 - 17*j - 24. Is 11 a factor of o(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 148*x**2 - 9*x - 8 + 145*x**2.\nAnswer: -3*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -441 - -441.1652. Let w = x + -0.17. What is w rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1208 + -1184. Solve 4*p = -n - 0*n - 11, -p = -4*n + o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3319230577 to the nearest integer?\nAnswer: 57613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57785)\/(-40894) - (4\/(-10))\/(46\/10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2219 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6986510 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6450039 by -279.\nAnswer: 716671\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*h = -24, 13 = 3*h + 1. What is the hundreds digit of (-1 - (-10)\/(-1))\/(u\/74)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -172*q**2 - 14\/135*q**5 + 0*q**3 + 0 - 1\/270*q**6 + 0*q + 16\/27*q**4. Factor g(j).\nAnswer: -4*j*(j - 2)*(j + 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7234, 14468, 21702, 28936?\nAnswer: 36170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.56169 - 4.56169. Let l = -5 + 8. Let v be (-3)\/(-14) - 2\/(-7). Which is the nearest to 2? (a) v (b) h (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 14*f**4 + 25*f**3 - 177*f**2 - 225*f + 459 = 0.\nAnswer: -3, 17\/14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441) + -1*sqrt(441))\/sqrt(9))\/((sqrt(147)\/sqrt(3))\/sqrt(7))*5 - -2*((1*sqrt(49))\/sqrt(7) + -5)**2*-2.\nAnswer: -128 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-75) + (-44)\/(-110)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**3 + 6*t**3 + 157 + 5*t**3 - 155.\nAnswer: 22*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/4 + 1)\/2. Let d = 105.69 - 108.69. Which is the closest to o? (a) 2\/13 (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 4*i = 5. Suppose m - i = 2. Suppose m*o = -o + 24. What is the remainder when 16 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161131 is divided by 32199.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 784936 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 5.26. Let d = -0.25932 - w. Round d to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1839 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 1\/2*a**4 + 0 - 1\/2*a**3 + 30*a + 9\/20*a**5 + 0*a**2. Factor b(g).\nAnswer: 3*g*(g + 1)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1809310.\nAnswer: 2, 5, 17, 29, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 5 - (-5 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2540, -5079, -7618, -10157, -12696, -15235?\n\"Answer: -2539*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.733*-0.5.\nAnswer: 1.8665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.58 to zero decimal places.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efef when four letters picked without replacement from efeeeeeeeeff.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 673*y + 420 - 615*y + 5*y**2 - 3*y**2.\nAnswer: 2*(y + 14)*(y + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7334 (base 12) in base 6?\nAnswer: -134104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**2 + 62*m**2 - 11*m**2 + m**2 - 5*m**2 - 10*m**2 - 6*m**2.\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -62809187.\nAnswer: -5\/62809187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 5099842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -3 + -2 + -7 - (-180 - -130)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -4\/3 (c) -14\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156991.\nAnswer: 37, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**6\/105 - d**5\/2 + 379*d**4\/42 - 415*d**3\/7 + 900*d**2\/7 - 439*d. Solve a(f) = 0.\nAnswer: 1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**4\/4 + 2*d**3 + 6*d + 159. Determine m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millisecond in microseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = u, -10*y + 5*y = 3*u - 71. Which is the second smallest value? (a) -3\/8 (b) -0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 300*t - 58504. What is v(195)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 6*x - 2. Let q = -7 + 14. Let d be c(q). Solve g + 7 = -d*u, -5*u - 5*g + g = -2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 + -3200333?\nAnswer: -3200213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2. Let i(m) = 4516*m. Determine i(j(b)).\nAnswer: 13548*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.94095 - -9.05813. Let w = 0.21 + 17.79. Let n = w - j. Round n to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.62269l in millilitres?\nAnswer: 98622.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103 - 99. Suppose 4*g + 4*g = y*g. Which is the fourth smallest value? (a) -2\/11 (b) 0.4 (c) -2\/15 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.58 rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*v - 19 + 54*v + 43*v + 12.\nAnswer: 244*v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32813 at least 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6595 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -17*p. Let i(a) = -12 + 8 + 3 + 5 - 9*a. Let b(r) = -2*r + 1. Let y(h) = 4*b(h) - i(h). Give d(y(l)).\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 721 is divided by 35.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715\/1001 + (-69414)\/(-7)?\nAnswer: 47, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 7*h**2 + h - 10. Let z(a) = a**3 - 4*a**2 - 3*a - 4. Let p be z(7). Suppose 335*s = 323*s - 284 - 1096. Let w = p + s. What is m(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in 3.198, -6, -64?\nAnswer: 3.198","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 744a3 + -b?\nAnswer: 74494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71429417 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*a)*(1 - 2 + 3 + (0 + 0 + 2)*(-2 - 1 + 1))*(0 - a + 0).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -978 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + 18*u**2 + 2*u - 16. What is the units digit of h(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3838.172 kilometers?\nAnswer: 3838172000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 12:26 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1322400 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2869\/302 - 3\/(-6)*-18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86324, -86405, -86518, -86663?\nAnswer: -86840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 240808.4.\nAnswer: -1204042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((-24)\/58) + (-6)\/9. Suppose 0 = x*w + 14 + 13. What are the prime factors of 6 + (1 - 1) + w + 102?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -1\/6 (c) 34 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 4534?\nAnswer: 5\/2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -374 - -3400?\nAnswer: 3015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-32721)\/351 - 90.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -8 (b) -2 (c) 1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8375\/(-15) + (-35)\/21. Let f be (0 - 0) + 105\/n. Which is the closest to 0? (a) -1 (b) -1\/4 (c) f (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7666 - 5962 = 12*y. Calculate the remainder when 722 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkjlvevvjvlejj. What is prob of picking 1 l and 1 e?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 55*z + 1632 = 0. Calculate the least common multiple of 84 and z.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1300 = -4*r + 1316. Let o(n) be the second derivative of 5\/12*n**r - 1\/20*n**5 - 7\/6*n**3 + 3\/2*n**2 - n + 0. Let o(f) = 0. What is f?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 - -370 - (-79 - -227)\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/24*2\/(-7). What is s in -p*s**2 + s - 1\/4*s**3 + 2 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*t + 5. Suppose 2*h + 5*l - 127 = -22, -3*l = -t*h + 340. What is the greatest common factor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/2268 and 15170\/(-223776)*2\/(-5).\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 0. Suppose -n + 1 = -2*t, -5*n + 2*t - 23 = -36. Solve -5*w + n*f = -19, 0*f = 3*w + g*f - 23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 4 = 7*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(156) + ((sqrt(156) + -3*sqrt(156) - sqrt(156)) + sqrt(156) - sqrt(156))))\/(4*-3*sqrt(3)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c**(1\/3))))\/c)\/c)\/(c\/c**4)*(c*c\/(c*c*c\/c**7*c)*c)\/c*c**8*(c**2)**(1\/29)\/(c**(-1))**34 assuming c is positive.\nAnswer: c**(4298\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*g**5 + 69*g**2 wrt g?\nAnswer: 4200*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*g = -25, 153*s + 20 = 151*s - 5*g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -3*t**2 + 0*t**5 + 1\/630*t**7 + 0 + 0*t**3 + 0*t**4 + 1\/1008*t**8 + 0*t**6 + 0*t. Factor j(u).\nAnswer: u**4*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/943 in -2, -0.06, -10\/3, 0.5, -0.3, 2\/11?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -13*y + 2. Let g(a) = 14*a - 3. Let k(u) = -4*g(u) - 5*z(u). Let c(m) = 4*m + 1. What is 5*c(s) - 2*k(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m + 645. Give l(-46).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16c (base 13) to base 4\nAnswer: 10003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*a - 10 = 0, -3*i - 5*a = 38 + 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 8 = 7. Which is the closest to 2\/3? (a) 1\/5 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66995966*x + 66995966*x - 577207*x**2 + 577209*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13873 is divided by 77.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 22*h - 1372. Determine c(62).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-3)\/(-12)*0. Suppose 3*j - 5 = -g*j - n, 0 = j + 4*n - 9. Suppose 15 = 2*o - j. Calculate the highest common factor of o and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.19 - -0.01. Let z = 0.5 - 0.3. Let d = z + f. Which is the second biggest value? (a) d (b) 0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-9)*n*n**(2\/7)*(n\/n**(-2\/33)*n)\/n**3 assuming n is positive.\nAnswer: n**(-1768\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*c + 1265 = 111*c. Is c a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14467 and 351463?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.35 in 1, -1\/3, 13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 1432*v - 139*v - 21)*(1 - 5 + 3).\nAnswer: -1293*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 23\/60*k**6 + 1\/30*k**5 + 5*k**2 - 13\/42*k**7 - 1\/6*k**3 + 0*k + 25\/336*k**8 - 7\/24*k**4 + 0. Factor i(w).\nAnswer: (w - 1)**3*(5*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3 + 2 + 16027*a - 16036*a. Let s(i) = 10*i - 6. Determine 6*l(q) + 5*s(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*p + 2335 = 0, 8*m - 11*m + 4*p = -6995. What are the prime factors of m?\nAnswer: 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (167 - 13)\/14 - 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 12:23 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1671908.\nAnswer: 2, 7, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1358 + -1356. Which is the nearest to z? (a) 0.15 (b) 0.5 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by 355.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t = -17*t + 5*v - 6, -v = -24*t + 22 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/22 + (-4)\/22. Suppose d = 9*c - 8*c. Solve 4*s + c*s = 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*n = -26, -2*a - 14*n - 25 = -11*n. Let q(y) = -11*y + 1. Let p(w) = 10*w. Calculate a*q(b) - 3*p(b).\nAnswer: -8*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**6*b*b**(-2\/11))**(-3\/13)\/((b**(-2\/7)*b*b*b*b**(6\/7))\/(b**(1\/5)\/(b\/(b*b*b\/(b*b**(-2\/13))*b*b*b)))) assuming b is positive.\nAnswer: b**(8746\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -15102?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 35 = -2*t, t + 4*u - 3*u = 10. Solve -10 = 2*d - 2*f, 15 = t*d + 4*f - f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**3 - 2*j**2 - 2*j + 26. Let p(c) = -12*c**3 - 7*c**2 - 7*c + 78. Let d(a) = 2*p(a) - 7*x(a). What is the derivative of d(z) wrt z?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 529.757km?\nAnswer: 529757000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*v + 3*v + 2*v)*(0 - 2 + 7) as d + m*v and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0738 and -4919.\nAnswer: -4918.9262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -3, 0.07 in increasing order.\nAnswer: -3, 0.07, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21, -73, -197, -429, -805, -1361?\n\"Answer: -6*p**3 - 10*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x - g - 19 + 4 = 25*x, 0*g - g + 4*g = 149*x - 295 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhrjgjlx. Give prob of picking 1 j and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/24)\/((-2)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -293021\/18 - -16273. What is the common denominator of 79\/4 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*2*-134 + (-597 - -602). Is -532 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**3 - q**2 - q + 1. Suppose -284 = -3*y - 65. Suppose 86*l - y*l = -26. Let o(c) = c**2. Calculate l*o(z) + p(z).\nAnswer: z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 526 and 14.\nAnswer: 3682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**5\/60 - 7*f**4\/24 + f**3\/6 + 15*f**2\/2 + 13. Let w(n) be the second derivative of r(n). What is w(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-8695*c**5 - 8796*c**5 + 17573*c**5) - 3*c**5 + 0*c**5 - 2*c**5.\nAnswer: 77*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3 + 2. Let c be q\/5*(-2)\/(-2). Which is bigger: -2\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7*k + 11. Suppose -2*g + p + 21 - 3 = 0, 4 = -2*p. Is l(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -11)*(2 + -1). Let u(p) = -p**2 + 10*p - 9. Suppose 0 = 5*t + 44 - 274. What is the remainder when t is divided by u(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**2 - 13*f**2 - 14*f**2 in the form y*f + z + w*f**2 and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 73235287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 13189 = -53. Suppose 0*h = 2*h - j. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**6\/144 - u**5\/30 - u**4\/6 - 2*u. Let m(k) be the third derivative of v(k). What is the units digit of m(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8490 and 399576190.\nAnswer: 2830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16143 less than 16143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -3*m - 8. Let k be (-78)\/(-21) - m\/(-7). Solve -2 - k = 5*z + a, -5*z = 4*a + 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*h**6 - 2 + 2 - 25*h**2 + 3*h**2 wrt h.\nAnswer: 3360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50557, 50530, 50503, 50476, 50449, 50422?\n\"Answer: -27*f + 50584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.3 and -0.00276103 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211700 rounded to the nearest ten thousand?\nAnswer: 2210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a + 2. Let w(o) = 8*o + 3. Let f(b) = 2*b**3 + 2*b**2 - 9*b - 1. Let t be f(3). Let n be (-3)\/(-4) - 209\/t. Give n*p(i) + 3*w(i).\nAnswer: -8*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 17*o + 13. Let j be k(7). Suppose -3*u = -5*u - 2*c + j, -4*c - 205 = -3*u. What are the prime factors of u?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 4. Let s be m(9). Let w = 9 - s. Let b = -4 - -8. Solve w*x + 15 = j, -x - j + 10 = -b*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 894 - -3e?\nAnswer: 8d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 674687.7 litres?\nAnswer: 674687700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 756 - 779. What is the highest common factor of 391 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000102709 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 881676.\nAnswer: 2, 3, 19, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31766, -127065, -285896, -508259, -794154, -1143581?\nAnswer: -1556540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -12*p + 9. Give t(7).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*x**2 + 11 + 30*x**2 - 6*x - 12*x**2 as f + o*x**2 + c*x and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37396 - -37444. Is h greater than 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(170)*3 + -1*-2*sqrt(170))\/((3*sqrt(10)*6 - sqrt(10)) + sqrt(10) - -5*-1*sqrt(10)))**2.\nAnswer: 4352\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 60\/8 - 4\/(-8). Suppose -5*z + 7 = -l, -2*b - 14 = 2*z. Let x be (107500*b)\/((-1)\/(-4)). What is x rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*g - 4 - 65. Which is the nearest to 0? (a) g (b) -2\/21 (c) 2 (d) 0.054\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p - 1. Let o(j) = j - 18. Let w be ((-54)\/45)\/((-4)\/50). Let v be o(w). Determine c(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 5*i - 13, 2*d - 5 = -3*i - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -24*z - 8. Let h be g(-1). Let s be (-2)\/5 + 57\/5. Let v(q) = h*q + 0 + 0 - s*q. Let n(y) = -3*y**2. Give v(n(t)).\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 + 506*f**2 + 3*f**3 - 515*f**2 - 10*f + 12. Let g be 5\/3 + (-190)\/(-57) - -5. Determine z(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17529603 to 4 dps.\nAnswer: 0.1753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.37946861 and -0.1.\nAnswer: 0.037946861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*c = -c - 3, 0 = -4*z - 5*c - 6. Let i be (-7)\/3 + z\/3. Let p be -2 + 0 - i - 1. Sort -4, -2\/5, p in decreasing order.\nAnswer: -2\/5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**4\/4 - 4*g**3\/3 + 2*g**2 - 2*g + 1. Let a be u(2). Is (4\/a)\/((-4)\/22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.076\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-1)*2\/(-18). Let q = 5.189 + -2.189. Sort -1\/4, q, -3, j in descending order.\nAnswer: q, j, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 112*f**2 + f - 2. Let q be k(2). Suppose 5*x + 178 = q. Suppose 66 = 10*z + z. Calculate the highest common factor of x and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 - 3*p + 3*p + (3*p - 4*p + 3*p)*(-p**3 + 0*p**3 + 2*p**3) + 5*p**4 + 101 - 101 + 9*p.\nAnswer: 8*p**4 + 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8053 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9 - 2*x + 6 + 2. Give p(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 6:31 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 85534*d - 342146. Give z(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1499, 1494, 1475, 1436, 1371, 1274, 1139?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v. Suppose -c + 14 = -2*z, 0 = -z - 5 + 1. Let x(i) = -10*i. Calculate c*x(r) + 15*d(r).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 1, u: 1, i: 4, l: 1}. Give prob of picking 1 u and 1 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 15*j. Suppose -2*f = 2*d - 2, d - f + 6*f = 1. Let w(y) = 37 - 17 - 7 - 12. Let n(p) = 2*p - 4. Let q(g) = d*n(g) + 4*w(g). Calculate c(q(i)).\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 96 (b) 2\/3 (c) 0.06 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-774)\/54) + -9 + (-7)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twz when three letters picked without replacement from wzpit.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) -3\/2 (c) -85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/2 - -2)*-2. Suppose 423 = -2*a + r*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110 (base 4) in base 9?\nAnswer: -417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 111, -4, 31, -4\/9, -5, 0.3?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497028189?\nAnswer: 3, 7, 1823, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20023100 - -323312?\nAnswer: 21013012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*y - 161 = 0, 3*s = 5*s - y + 312. Let j = s + 156. Let r = -5 + 9. Put 2, -3, j, r in increasing order.\nAnswer: -3, j, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.28 + 15.72. What is the closest to h in -4, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*i = -3*b + 66, -4*b - 4*i + 60 = 0. Suppose -b*g + 90 = -13*g. Let z be 4\/g - 158\/(-18). Calculate the highest common divisor of 63 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.048 and 51.2?\nAnswer: -2.4576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883247.\nAnswer: 883247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0522711 rounded to 4 decimal places?\nAnswer: -0.0523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44.65 - 0.35. Let t = -119 - p. Let a = t - -78. Put a, -0.15, -3\/5, 1\/7 in decreasing order.\nAnswer: a, 1\/7, -0.15, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p. Let q(i) be the third derivative of 2*i**2 + 0*i + 0*i**3 + 0 + 1\/60*i**5 + 0*i**4. What is q(d(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -153325953 to the nearest 10000.\nAnswer: -153330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 + -445\/6. Let m be ((-26)\/6)\/(50\/(-60)). Let g = m + -5. Which is the third biggest value? (a) g (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (0 - 119\/(-17)*5\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2273 - -18344. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1133\/8284 + -9\/76. Let v = 115\/327 - t. Which is the fourth biggest value? (a) 4 (b) -3\/4 (c) 0.4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*v, -8*d = -4*v - 4*d. Let j be (5*4)\/(v - -2). Let c(i) = -i**2 + 3*i + 2. Let b be c(2). Solve -4*q = -3*x + 2, -b*x = -4*q + 5*q + j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*n + 54*n + 60 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 0 - (5859 - 5786)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 8) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 27*i - 32*i. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/63, -2, 15, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 15666?\nAnswer: -93996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + t + 2 = 0, 0 = -3*c - 2*t + 1 - 9. Let z be 1\/(-2) - 134\/c. Calculate the common denominator of -41\/9 and 2 - (252\/z)\/3.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 4, 55, -220, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.8*1367.983\nAnswer: -2462.3694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73208 or -73203?\nAnswer: -73208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -875, -527, 53, 865, 1909?\n\"Answer: 116*m**2 - 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*r - 0. Let d be 39\/6*8\/r. Suppose -d = 4*y - 174. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 46.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -15*a - 114. Give o(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 51 = 6*v - 3*v, -3*v + 12 = 0. Let x = k - 19. Solve -5*r + 7 = 3*q - 6*r, -5*q + x*r = -10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175 (base 10) to base 11.\nAnswer: 14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 11*c**2 - 25*c - 124. What is h(8)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjezweerwhzhwz. Give prob of sequence rr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b**3 + 2*b**2 - b. What are the prime factors of n(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 1\/15 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (472 - (1 + 0)) + (-14 - -15). Suppose 96*z = 97*z - l. Calculate the highest common factor of 59 and z.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 34. What is the units digit of 2522\/65 + (-1)\/o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**11\/m)*m*m)\/m*m)**(-8)*((m*(m*m\/(m\/(m**(-3\/5)*m)))\/m*m)\/m*m)\/(m\/m**(2\/23)))**(11\/2) assuming m is positive.\nAnswer: m**(72721\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-477*y + 8*y**2 + 477*y)*(-2 + 4*y**2 + 2).\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*((-18)\/10 - (-5)\/((-150)\/6)). Sort a, -33\/14, -1 in ascending order.\nAnswer: -33\/14, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -193*p - 64*p + 583*p - 23. Is 64 a factor of u(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 7:57 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1707)\/(-6)*6 - -1. Suppose 4*u = -4*a + o, u - 211 = a + 206. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 21828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 + 4.9841\nAnswer: 5.0041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -354, -551?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**4\/18 - 25*x**3\/3 + 1449*x. Factor j(n).\nAnswer: 2*n*(n - 75)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -352291, -352560, -352831, -353104, -353379?\nAnswer: -353656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23513638 to the power of 1\/2, to the nearest integer?\nAnswer: 4849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 + 5 + -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(3))*-1 + sqrt(3) - (1 + (sqrt(15)\/sqrt(5))**2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/66)\/((-225)\/60)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 2*m + 33, 4*m + 4 = n + 3*n. Let h = 0.01 + 3.19. Let x = h - 3. Put -0.1, n, x in ascending order.\nAnswer: -0.1, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d**3 - 6*d**2 + 4*d - 1. Let m(t) = -13*t**3 - 11*t**2 + 7*t - 2. Let y(n) = 6*m(n) - 11*q(n). What is the units digit of y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/109 - -209\/981. Let m(x) = -x**3 + 5*x**2 + 2*x - 7. Let t be m(5). Let v be (-3)\/6*(t + -1). Which is bigger: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1083 - -1085. Put p, 1\/4, 3, -1.68 in ascending order.\nAnswer: -1.68, 1\/4, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014176108 rounded to six dps?\nAnswer: -0.014176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -19. Let i = 12.86 - v. Round i to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -32*t**2 - 134*t - 6. What is s(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z. Suppose r + 0*s - 4 = s, 4*s + 6 = -r. Let v(w) = -4*w**r + 0 + 0 + w**2. Give v(l(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.558903 millilitres to litres.\nAnswer: 0.003558903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*x - 5 - 142 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 17*s**4 - 24*s - s**2 - 3*s**3 + 3*s**3 + 15*s**4 to the form o*s**3 + c*s + v + t*s**4 + n*s**2 and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b. Let w(r) = 10*r - 11. Let j(s) = 2. Let x(m) = -6*j(m) - w(m). What is q(x(v))?\nAnswer: -10*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2 - 1. Suppose j*k = -10*k + 559. Calculate the highest common divisor of k and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/627 and -73\/57?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.646862085 to 4 dps.\nAnswer: -15.6469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76595 is divided by 8480.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*d = -24, w + 2*w + 4*d - 10 = 0. Let j be w\/(-3)*(-3735)\/(-3). Let z = 3535 - j. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 8 = 3*u. Suppose 2*i - u*i = -l - 8, 0 = -2*l - 6. Let j(f) = -3*f**3 + 2*f. Let h(s) = -7*s**3 + 5*s. Determine i*j(o) - 2*h(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c - 1845*c**3 - 3*c**2 + 2269*c**3 + 2*c**2 - 2 to k*c**3 + i*c**2 + u*c + x and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {o: 1, n: 2, w: 1, j: 1, s: 1, t: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41\/3 + 14. Let k(i) be the second derivative of -n*i**3 + 0 - 2*i + 0*i**2. Let t(y) = 3*y**2. Calculate k(t(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 15) to base 16.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w + 1. Let b(o) = -o**3 + 4*o**2 + 1. Let j be b(3). Let t = 9 - j. Let c be l(t). Solve c*y + 3 = 23 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - -4.95. Let t = -4.9 + s. What is the closest to t in 0.4, -0.4, 4\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541101.\nAnswer: 3, 11, 19, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1681191 times -50\nAnswer: -84059550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 632871 (base 9) to base 2\nAnswer: 1011011110101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*f - 23. Suppose -f*v + 12*v - 61515 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 14) + (-37 - -42).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/13700 and 47\/68500.\nAnswer: 68500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 4*l + 4*l)*(3 + 1 + 21).\nAnswer: 150*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*f - 12, 39 = 3*n - 3*f. What is the derivative of n + 31 + 2*y - 11*y wrt y?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1755)\/8505 - 3\/(-7))*3\/1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 + 110. Solve 2*j + u = -4*z - 2*j, 3*z - 3*j = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*k - 6 - 10, -2*v - 12 = 2*k. Which is the nearest to 0? (a) v (b) 2\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5109 is divided by 2446.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/779 and 85\/97088.\nAnswer: 1844672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - c - 4*c - 16 = 0, 0 = -q - c. Find the second derivative of -3*v - v**3 + 139*v**q + 0*v**3 - 139*v**2 wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105031953 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/3, 3, 1\/2, 162, -7, 18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 330030961 a multiple of 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -25. Let f = -1 - o. Let m = 0.34 + -0.04. Which is the nearest to m? (a) -5 (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 377, 414, 513, 704, 1017, 1482, 2129, 2988?\n\"Answer: 5*q**3 + q**2 - q + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -4*t**3\/15 + 54*t**2\/5 - 104*t\/5 + 30. Find c, given that s(c) = 0.\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 54743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 0.2, -10.7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1130300*b**3 - 144*b**2 - 331844680*b?\nAnswer: -6781800*b - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/15 and -14\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 - 0) - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109 + 385. Suppose -h = -10*k + 384. What is the greatest common divisor of 154 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2 - 0) - -13. Suppose 0 = -p - p + 26. Calculate the remainder when (-4)\/14 + 340\/b is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 0. Let r(i) = -4*i + z*i - 1 - i**2. Let a(s) = 3*s**2 + 2. Let b(p) = a(p) + 2*r(p). Let u(c) = -2*c**2. Determine u(b(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 461298 - 173165. Let v = 479133 - b. Round v to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 3, 34, -3 in descending order.\nAnswer: 34, 5, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 100949629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*a - o - 122, 3*a = -2*o + 88. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.172698 rounded to two dps?\nAnswer: 59.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -2*l**6 + 27*l**2\/2 - 116. What is the second derivative of x(p) wrt p?\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 699, 730, 815, 978, 1243, 1634, 2175?\nAnswer: 2890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*-1*-3)**2 + 0 + ((sqrt(17) - (sqrt(17) + sqrt(17) + -1)) + 4 - sqrt(153)\/(sqrt(63)\/sqrt(7))).\nAnswer: -2*sqrt(17) + 22037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s + 6. Let m be (-1)\/(-4) + (-30)\/(-8). Suppose -14*f + 12 = -2*f. Let q(r) = -f - 2*r - 23*r + 24*r. Determine m*q(g) + i(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -22, -73, -178, -355?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o = -33*o - 99*o - 1944 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**(-2\/7)\/v))**(2\/11)\/(v**(-1)\/v**(2\/5))*v**(4\/3)*v\/(v\/(v*v\/(v\/(v*(v**(4\/3)*v)\/v))*v))*v*v**(-3)*v*(v**(2\/19)*v)\/v assuming v is positive.\nAnswer: v**(148553\/21945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12*o**2 - 89*o + 54. Calculate a(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/11)\/((-4779)\/(-23364)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 409 and 969739.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 8, x: 4, u: 3, i: 3}. Give prob of sequence ux.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 3 (c) -0.3 (d) 0.07 (e) 5763\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 974230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23024 * -98.3.\nAnswer: -2263259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56552731.752 + 0.2.\nAnswer: -56552731.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - j - 1. Let b(v) = 2*v**2 - 4*v - 4. Let i = -2 + 3. Let p(x) = i*b(x) - 4*t(x). Let u(c) be the first derivative of 6*c**2 + 60. Give p(u(f)).\nAnswer: -288*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 22.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g - 387*g**3 + 1397 - 1397 to p*g + f + x*g**2 + l*g**3 and give l.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 119*c**3 + 3*c**2 - 7*c + 4. Let k be o(1). Let d be -34*((-33)\/(-6) + -4)*-1. Calculate the greatest common factor of d and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 0.1827, 1, 77 in ascending order.\nAnswer: -2\/13, 0.1827, 1, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -93*k**2 + 5*k + 1. Let h be j(3). Let n = -304 - h. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 minus 9998.18725593?\nAnswer: -9998.06725593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqtm when four letters picked without replacement from {t: 1, a: 1, y: 2, m: 2, g: 1, q: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310 (base 13) to base 4.\nAnswer: -20020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 19 = -11. Factor y + 16 + 2*y**h - 9*y - y**2.\nAnswer: (y - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 111010000?\nAnswer: -111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14856262 + -1?\nAnswer: -14856263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 430?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 2 - (20 - (-27 - -35)) - -67?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.87 + -3.87. Let t be (-3)\/12*(1 + 0). Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t + 3. Let l be n(1). Let u be (9 - l\/(-1)) + 3*-1. Does 12 divide (-2)\/11 - (u - (-5420)\/(-44))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 4*b - 3. Let y be n(3). Solve y*c + 4*k = -c - 19, 2*c + 5*k + 23 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40119 - -84727. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 224930*d**3 + 10*d**2 + 2388253*d - 2?\nAnswer: 1349580*d + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-42)*(-11 + -5)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993477791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/((-6669)\/(-26))*2\/(-2).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3727 and 726041962?\nAnswer: 3727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/27 and 31\/9849.\nAnswer: 88641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6959 + -3204. Suppose 0 = -9*n + 107602 + v. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -186 - -417?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/50)\/(3\/105)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 20*y - 5. Let h be n(-20). Let t(l) = l**2 + 5*l + 9. Let w be t(h). Solve -2*a = 5*k - 1, -2*a + 7*a + k + w = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + 71 + -1)*2?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Suppose 2*u = -4*q + 2 + h, -5*u = -10. Solve 1\/2*j**3 + q*j + 0 - 1\/2*j**2 = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 - -40. Let j be (-28)\/m + -8 + (-205)\/(-25). Suppose 0 = 2*g - 5*g - 5*h + 15, -4*h = 2*g - 12. Solve u + 1 + j = g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/16 + (-1)\/(2\/(-4)) + (-19206)\/(-1188)\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 70539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 9\/(-6))*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 - 3 - 3*y**2 + 4*y**2 - 2 - 6*y. Let p(l) = 2*l**2 - 3*l - 3. Let f(k) = 3*h(k) - 5*p(k). Find the second derivative of f(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -89, -52 in descending order.\nAnswer: 1\/10, -52, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.07476cm to kilometers.\nAnswer: 0.0005807476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1265*u - 1246 + 14269 = -42287 + 5975 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 586469358 <= 586469358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n*n*n*n**9*n)\/n*n*n**11*n)**(24\/7) assuming n is positive.\nAnswer: n**(648\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33 - -6 - (2 + -3). Let u be -9 + 12 - x\/14. Which is bigger: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 282*x**2 + 84201*x.\nAnswer: -3*x*(x - 127)*(x + 221)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17885 by 2555.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/14 - -1 - (-291696)\/(-69216))*-6*1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.242 >= 858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10344 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150472 (base 11) to base 6.\nAnswer: 5011043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61158166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.1. Suppose -2*n = -4*q + 38, 5*n - 161 = -4*q - 158. Put 1\/4, 3\/5, n, a in decreasing order.\nAnswer: 3\/5, 1\/4, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 601.1 in 4, 0, -2, -18, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.5, 0.0323 in decreasing order.\nAnswer: 3, 0.5, 0.0323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008252619 rounded to 4 decimal places?\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/2232 + 1487\/2232. Factor d*p**4 + 0*p**2 + 0*p - 2*p**3 + 0.\nAnswer: 2*p**3*(p - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((2*sqrt(7) - sqrt(7))*5).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -5, 0.05, -9093?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111100011000111000101 (base 2) to base 9.\nAnswer: -7602158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine quarters of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 39. Let k be x(-21). Suppose -5*t = -3*p + 61, -4*p + k*p + 3*t = -15. What is the highest common divisor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43688691?\nAnswer: 3, 17, 283, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 55352 divided by 2\nAnswer: 27676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/1 + (15 - 23). Let g(x) = -6*x**3 + 30*x**2 + 69*x - 5. Let z be g(i). What is z rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -17. Let f(z) = 55*z - 5. Let h(l) = 79*l - 5. Let a(k) = 3*f(k) - 2*h(k). What are the prime factors of a(d)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -1\/30*c**5 + 1\/120*c**6 + 0 + 0*c + 1\/6*c**3 - 1\/24*c**4 - 4*c**2. What is the units digit of r(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x - 4*x - 2*x + (1 - 1 - x)*(0 - 3 + 2) + 6*x - 3*x - 2*x + (-4 + 4 - 2)*(212*x - 160*x + 280*x) + 2*x + 5 - 5.\nAnswer: -661*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-8))\/((-5)\/(-20)). What is the first derivative of a*c**2 + 4 + 0 - 3 wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1044 and -67\/180?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 885441.3 months?\nAnswer: 73.786775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*r - 7 = 0, 9 = l - 3*r - 0*r. Suppose j = -l + 8. Which is greater: 4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.43875 decades in millennia?\nAnswer: 0.6743875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-32)\/6)\/((-96)\/(-864)). Let j be (-4)\/(-6) + 289\/3. Let p = r + j. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r + 4 - 4)*(-11 + 17 + 28*r - 7)*(-64 + 148 + 29) to the form i + o*r + c*r**2 and give c.\nAnswer: 6328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/14 of a week in minutes?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.195 less than or equal to -9459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 1.14?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 43*j**2 - 186*j + 311*j - 183*j + 44*j**2.\nAnswer: j**2 - 58*j + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -143, -762, -1793, -3236, -5091, -7358, -10037?\n\"Answer: -206*s**2 - s + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20425*f**4*j + 3*f*j**2 + 116752*j**2 wrt f.\nAnswer: 81700*f**3*j + 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 58 = -38. Suppose 20*c - q*c = 192. Solve 20*j + 12 = c*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 23*n + 36. Let a be p(17). Let s = 71 + a. Let h(g) = 5*g**3 - 3*g**2 + 3*g + 3. Let q(d) = -9*d**3 + 5*d**2 - 5*d - 5. Give s*h(l) + 3*q(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/1)\/(((-42)\/9)\/((-600)\/270))?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106334699429\/479151860 - 54\/2177963. Let w = -4431\/20 + r. Find the common denominator of -71\/22 and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w + 5. Let x be i(-6). Let q = x - 16. Suppose -4*l = -q*l + 303. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1749*-3615.\nAnswer: 6322635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) - 968\/(-12). Suppose -76*g = -l*g + 10. Find the third derivative of 19*y**3 - 15*y**2 + 16*y**2 + 38*y**g wrt y.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15930260?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-1 - (2 + -17 + 13)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 - ((-40 - -89) + 95)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4*v - 14, -3*t - v - 6 = -13. What is the fourth biggest value in 0.5, -0.8, t, 0?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(220))\/sqrt(10)*5)\/(sqrt(2) + sqrt(6)\/(sqrt(3)*3) - (sqrt(2) - -5*sqrt(2)*2)).\nAnswer: -30*sqrt(11)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b. Let a(i) = 33*i. Let z(q) = -2*a(q) + 9*m(q). Let x(y) = -2*y. Give z(x(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 3*h**2 - 3*h + 6. Let b be t(-4). Suppose -b*w - 5 = -7*w. Calculate the highest common divisor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -2\/15*d**3 + 0 + 0*d - 1\/20*d**4 + 1\/100*d**6 + 1\/150*d**5 - 5*d**2 + 1\/525*d**7. Let a(q) = 0. What is q?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7248 divided by 157.\nAnswer: 7248\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + 1)*-6 + sqrt(1539) - (1 + sqrt(1539) + sqrt(1539) + 1) - (1*1*sqrt(1539) + 3*(sqrt(1539) + sqrt(1539)*-1 + sqrt(1539))))**2 + -2.\nAnswer: 1584*sqrt(19) + 186281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53431, 53423, 53409, 53389?\nAnswer: 53363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -17*b**2. Let x(w) be the first derivative of -267*w**2\/2 + 6168. What is x(d(r))?\nAnswer: 4539*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -57543.024 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2510 - 2*m**2 + 0*m**2 + 2507 - 5017.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -8*l + l. Suppose -2 = 4*i - 5*i. Suppose i*r = 2 + l. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 862886 divided by 2.\nAnswer: 431443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3562078, 3562164, 3562306, 3562504?\n\"Answer: 28*z**2 + 2*z + 3562048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from rrrrrururruruurrur.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021428739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39198 + 76195. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22 - 99\/9*2. Let i(d) be the first derivative of -9\/5*d**5 - 46 + 0*d - 2*d**2 + d**3 + p*d**4. What is the second derivative of i(k) wrt k?\nAnswer: -108*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyyydyyyddyyyd. Give prob of sequence dy.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25, 103, 233, 415, 649?\n\"Answer: 26*g**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -8. Let p(m) = -m**3 + 5*m**2 - 3*m + 1. Let h be p(v). Suppose 0 = -2*s - 4*t - 24, -4*s - 3*t - 13 = -h*s. Round s to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/3)\/k**(-3)*(k\/(((k\/((k\/(k*k*k\/k**6))\/k)*k*k)\/k)\/k))\/(k*k\/k**(-1\/6))*(k**(-1\/2)\/(k**(3\/5)\/k))\/(k\/(k**(-1\/4)*k))**(-17) assuming k is positive.\nAnswer: k**(173\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 320 + -46. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 120\/(-220) + 114*(-4)\/(-352). Sort -0.2, -162, k, 7.\nAnswer: -162, -0.2, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58610, -58530, -58462, -58412, -58386?\nAnswer: -58390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -6)\/(5\/(-15)). Let v = -8 + 5. Is r <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 10 + 1 = -49. What is the smallest common multiple of x and 2603?\nAnswer: 10412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5587 and 2483044?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 770.4665744 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139007577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) 5 (b) -30 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 + 3*a**2 + 2*a + 8. Let h be u(-3). Let z = 65 + h. Calculate the remainder when 25 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -314460893, -314460892, -314460891, -314460890, -314460889, -314460888?\n\"Answer: n - 314460894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - (-91 + 8\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-66 - -125 - 61).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 796, 6284, 21168, 50146, 97916, 169176, 268624?\n\"Answer: 783*l**3 + 7*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 3. Suppose h - 3*y = 18, -4*y = -2*h + m + 9. What is the third derivative of 9*b**3 + 7*b**h + 6*b**2 + 3*b**6 - 16*b**3 wrt b?\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253507?\nAnswer: 569, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 771.6 plus 289?\nAnswer: 1060.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 306 - 475 - 2*o - 665 to the form t*o + u and give u.\nAnswer: -834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + (-381*(-6)\/(-198) - -11)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(68)\/sqrt(4) + 3)**2.\nAnswer: 2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77 - (38 + -61 - -83)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 12:22 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -18*f + 3519. Let d = f + -399. Which is bigger: -7 or d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-96)\/(-40)*10\/4. Suppose -d = -b - 2. Solve -w - w = b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -89438 (b) -1\/2 (c) 9 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.2 (c) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.024.\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 484381722 to the power of 1\/3, to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -115*s**3 - 2*s - 221. Let x(p) = 232*p**3 + 5*p + 441. Let n(d) = -2*x(d) - 5*y(d). Differentiate n(z) with respect to z.\nAnswer: 333*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-60))\/((-18)\/(-10)). Let d = 5431.9 - 5432. Let s = 7 + -4. Which is the closest to d? (a) -5 (b) s (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b13d (base 14) to base 3.\nAnswer: -21101211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 5, 4, -1, -10, -23?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3440918919?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irivvrvrij. What is prob of picking 1 v, 2 r, and 1 j?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2563 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 1 - -9)\/1. Suppose p = 22*l - 20*l. Solve 0*z - l*z = 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2*h**3 - 1 + 18*h**3 - 7*h**3.\nAnswer: 13*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 51997?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + w - 42 = -252, 0 = -4*k - w + 273. Let f = -37 + k. Suppose -4*p = 3*u - 7*p - 33, -p = 3*u - 33. What is the remainder when f is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 = -48*t + 434 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1476670 to the nearest one thousand.\nAnswer: 1477000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4\/4 - 225*b**3\/4 - 2049*b**2\/2 + 1197*b + 2166 = 0. What is b?\nAnswer: -38, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 - (-10)\/6. Let o be 15 + 2 + -3 + u. Suppose 534 = o*m - 9*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from foouuoouo. What is prob of picking 1 o, 1 f, and 2 u?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 3*c + 1. Let o(w) = w. Let z(k) = 2*o(k) + x(k). Is z(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244457.\nAnswer: 244457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6352121 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/61272773 or -1?\nAnswer: 6\/61272773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5*u + 4*u - 8)*(-u**3 - u**3 - 2*u**3).\nAnswer: 4*u**4 + 32*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p. Let h(y) = 4*y. Let d(c) = 5*f(c) - 6*h(c). Let v(l) = l + 2. Let i(s) = -1. Let u(z) = 2*i(z) + v(z). What is d(u(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -4) + (-9)\/(-3). Let x(s) = s**3 - 6*s**2 - 8*s. What is x(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 0*r**6 + 0*r**7 + 1\/10*r**5 + 0*r**2 + 7*r + 7 - 29\/6*r**4 + 10\/7*r**8 + 0*r**3. Find the third derivative of z(s) wrt s.\nAnswer: 9600*s**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 - -138. Let o = t - 68. What are the prime factors of (-16)\/(o + -5) - -179?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -69057, -8\/3, 0, 4, 0.1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - l - 9 = 12, -3*l + 15 = 0. Let p be (-7)\/((-35)\/u)*-5. What is the greatest common divisor of p and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*-641614\nAnswer: 5774526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3148*m**2*t**2 + 13911*m**2*t + 443*m*t + 649*t**2 wrt t.\nAnswer: -6296*m**2 + 1298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = t - 2910 - 6390, -x - 2*t = -2325. Calculate the least common multiple of x and 25.\nAnswer: 2325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, 7, 30, 71, 136, 231, 362, 535?\n\"Answer: a**3 + 4*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 0*u - 8*u + 7*u. Let v(b) = -8*b. What is -12*c(x) + v(x)?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3373*g - 6 = 3376*g, 6 = -4*k - 5*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5\/6)*c**(-3\/23))**(-43))**(-2\/5) assuming c is positive.\nAnswer: c**(-5719\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m = 5*l - 50, 5*l = -3*m + 55. Let n(j) = j**2 - 5*j - 3. Let z be n(6). Let s be (z\/1)\/(9\/12). Solve 0*t - s*t = l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/5))\/b)**(-1\/35) assuming b is positive.\nAnswer: b**(-2\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1071 (b) 3 (c) -1358\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3203, -11218, -24575, -43274, -67315, -96698?\n\"Answer: -2671*y**2 - 2*y - 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i + 8. Let f(t) = -2*t + 12. Let b be f(5). Let c = -1 - -1. Solve 0 = -v - b*p + 3, c*p - 3 = -i*v - p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 47*x = -168*x - 722, 2*x = -10*y + 3*x - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6108 - 6108.013508. Round a to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120.6167 + -0.0833. Let b = m - -115. Round b to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 90, 184, 288, 408, 550, 720?\n\"Answer: z**3 - z**2 + 90*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, -1868, -4246, -7576, -11858, -17092?\nAnswer: -23278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3550, -3546, -3542, -3538, -3534?\nAnswer: -3530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85354*y**2 + 170696*y**2 - 85342*y**2 - 15*y**3.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 228, -1, 5, -7 in ascending order.\nAnswer: -7, -1, 5, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37777 + -25914. What are the prime factors of w?\nAnswer: 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 4:49 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((41 - 2) + 0)*3\/9. Suppose -6*j + 17 = -w. What are the prime factors of (j\/(-10))\/(3\/(-780))?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - -414. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*n - 20 = 5*o + 39*n, o = -3*n - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 - -71.9. Which is the closest to 0.1? (a) -5 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12026.81 and 0.5.\nAnswer: 6013.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20131, -81299, -183501, -326737, -511007, -736311, -1002649?\nAnswer: -1310021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 4*i**2 - 2*i - 5. Let z be (14\/21)\/(4\/78). Suppose -f + 6 = -z. Calculate the remainder when f is divided by a(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172 + -167. Which is the nearest to -3\/4? (a) 2 (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 7*g - 57. What is the remainder when (0 + -90)*(-1)\/2 is divided by (-32)\/g*12\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*o - 18, 4*o - 127 + 124 = 3*p. Let b(d) = -2*d**3 + d + 1. Let r be b(-1). Let s be 2\/6 + r\/(-6). Solve s = -p*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/16 and -103\/102.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 201 - 186. What is the remainder when 178 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 170261 - -11?\nAnswer: 170272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27783085 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dthtopphpipipo. What is prob of picking 2 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/(-6))\/(-5))\/((-70)\/30)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*i + 9, -5*i + 1 + 4 = -5*k. Let h be (-2 - -33) + i + 3. Let n = 23 - 19. Solve 0 = -2*d + 7*d + 4*c + n, -3*d + 5*c = h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3190)\/(-58)*(-13)\/26*2.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1213465 and -3.\nAnswer: -1213468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 31851600*-1\nAnswer: -31851600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2323460*c**4 + 2*c**2 + 12671*c wrt c.\nAnswer: 27881520*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -11. Let x(s) = 10*s - 2. Is x(z) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 7. Let i = o + 52. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 37, -10, -51, -86, -115?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 255*i**5 + 77210*i**4 - 1061155*i**3 + 1189210*i**2 - 167600*i - 37920 = 0.\nAnswer: -316, -2\/17, 1\/3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 9, 3, 8 in increasing order.\nAnswer: -5, -3, 3, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 11*a - 3. Let c be ((-65)\/(-10) + 2\/(-1))*60\/45. Calculate l(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3)*(-3)\/(-76)*5*(-20)\/750.\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 40*s - 21. Is h(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4 = -y, 3*y + 6*a - 2*a = -7. Let f be y\/(-3) + (-1 - (-429)\/(-18)). Do f and -26 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2 + 34. Let g be (-14)\/(-42) + 14\/(-6). Let q be (-13 - 3)\/(g\/11). What is the greatest common divisor of d and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 585 and 9828.\nAnswer: 49140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -8*x + 4*x - 6, 3*m - 5*x - 11 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21272, 85194, 191724, 340856, 532584, 766902?\n\"Answer: -a**3 + 21310*a**2 - a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 > -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25*(20 - (-1 - -81)\/8). Calculate the highest common divisor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-9)\/(-18))\/((-1)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 8*o + 4. Let x be i(8). Suppose -x*n = 2*z - 18, -8 - 3 = -2*n - 3*z. Sort 5, 0, n in decreasing order.\nAnswer: 5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6838*i. Let l(c) = 585*c**2. Calculate l(s(g)).\nAnswer: 27353572740*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - (3*sqrt(68) + sqrt(68))) + sqrt(68))*3)\/sqrt(4).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230 = 5*r, 10283*l - 3*r = 20559*l - 10277*l - 140 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 6:29 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 32*h**2 + 28*h - 29. Is i(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m**3 + 7*m**2 + 2*m**3 - 7*m**2.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -115 + 4518?\nAnswer: 4403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 6\/5 (c) 2\/11 (d) 0.5 (e) -0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - 6*v + 31 in the form d*v + s and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/10*1325\/212. Solve 18 = -11*y + w*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 0.8?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 3:50 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4441 (base 7) to base 9.\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 564.924 - 399.52. Let t = -165 + a. Let m = t - 0.621. What is m rounded to two dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**2\/5 + 31192*w + 311904\/5 = 0.\nAnswer: -38988, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 2)*(71 - 21 - 31)*(3*q - q - 5*q) to x + h*q and give h.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 695806 - 695802.00003. Let v = w + -4. Round v to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*d**2 - 11840*d + 11835*d - 27*d**2)*(1 - 1 - 1)*(5*d - 5*d - 2*d**3).\nAnswer: -130*d**5 - 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 17*v**2 + 19*v + 21. What is the tens digit of m(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23992024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1435 and 560.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p = 178. Find the third derivative of -43*m**2 - 89*m**5 - 9*m**6 + p*m**5 wrt m.\nAnswer: -1080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 13*c**3. Let g = 33 - 32. Let i be j(g). Suppose -u - 6 = -3*a, a - 5*u + 3 = -3*u. Solve -m - 7 = m - s, a*m + s = -i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 857402 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 114?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 10*l**3 - 25*l**2\/2 - 5*l - 22. Factor n(f).\nAnswer: 5*(f - 1)*(6*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6616, -6614, -6612, -6610, -6608?\nAnswer: -6606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: List the prime factors of 139410048.\nAnswer: 2, 3, 363047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2062692+25\nAnswer: 2062717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12449350 by 2489870.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-11 - -3 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 71691*x**2 - 1285007400*x - 3854377008.\nAnswer: -(x + 3)*(x + 35844)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.088 in -2, -0.08, -0.5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 2*b + 3. Let x(h) = h. Let p be x(-3). Let u be n(p). Suppose 2*g - u = -0*g. Solve 2*o + g*o + 25 = 5*w, 0 = 5*w - 2*o - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 38*i + 600. Let y be x(-50). Which is the closest to 1\/3? (a) y (b) -10 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-9))\/((-2)\/12). Suppose 4*s + 0*s + k = p, 0 = -4*s - 3*k - 2. Let f(t) = -5*t**2 + 6 - 3*t - t**3 - 4 - s. Calculate f(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from kffddkffddff?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**3 + 2*i**2 + 5*i + 3. Let v(g) = 2*g**3 + g**2 + 3*g + 2. Let o be 1 + 1 + (-1)\/3*-9. Determine o*v(a) - 3*l(a).\nAnswer: -2*a**3 - a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from rplpphtthhttprzrlz?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3217*h - 2773*h + 252044 - 235978 = 776796 for h.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -m - 0*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 10*r + 48 = 0. Let o be ((-6)\/2*1 - -1 - -648) + 2. What is the greatest common divisor of r and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -5*b + 35, 3*a - 22 - 10 = -17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -458*y + 1 - 278*y + 215*y - y**2 as u*y + p + j*y**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 6*x - 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 18363 = 18340 - 36823, 2*v = -5*s + 146 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 - (10 + -16))\/((-12)\/36). Let b(w) = 8*w**2 - 1. Let v be b(1). Suppose l*q = v*q + 8. Solve 0 = 2*c - s + q, 0*c = c - 3*s + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, -0.152, -44\/7 in decreasing order.\nAnswer: 9, 1, -0.152, -44\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -285 and -274.\nAnswer: 78090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + 2*l - 2*l - l**2)*(-4 + 4 - 5).\nAnswer: -10*l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162089 and 42598?\nAnswer: 19126502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*g - 2, 5*g - 3 + 0 = -2*h. What is the least common multiple of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-21) - 26\/(-3). Let j(a) = a**3 - 7*a**2 - 12*a + 10. Let p be j(z). Let y = -8 - p. What is the lowest common multiple of y and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57, 51, 41, 27, 9?\n\"Answer: -2*q**2 + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 2*x**7\/7 + 41*x**5\/5 - 27*x**4\/4 - 7*x**3\/3 + x**2\/2 - 53*x - 1102. What is the third derivative of j(q) wrt q?\nAnswer: 240*q**3 + 984*q - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -33 - 17*k - 16*k - 15*k + 38*k. What are the prime factors of s(-14)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5675790 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43\/33 - -7\/11. Let p = 5 + -3. Let m be (p\/(-39))\/(1\/(-3)). Which is smaller: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 2*j - 4. Let d be m(-2). Let n(s) = 2*s**2 + s + 7. List the prime factors of n(d).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53592 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 536 and 131986784?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 - -81. Let m(p) = -s*p**3 + 2*p - p - 7*p**2 + 8*p**2 - 1. Give m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.16, 2\/9, -2\/3, 6, 4?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43.05 and -0.3.\nAnswer: -12.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1356567 and -0.5.\nAnswer: 1356566.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 6*r - 5. Let t = -101 - -106. Give h(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.09 + 1.89. Let u = 2 - j. What is the third smallest value in -8, -1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 3. Suppose -v - u = -x, 0*x + 2*v + 35 = 3*x. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 7*t**2 + 2. Let n be r(7). Suppose n*b - 4 = 4. Suppose 52 = -b*k + 164. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/75*((-20)\/6)\/(-5).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-2)\/20 + 0). What are the prime factors of 12\/n - (-31374)\/45?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 52898*u = 52895*u - 2, 3*u = -4*g + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 p, 1 c, and 1 s when four letters picked without replacement from hjhpcchcsoshhohcchoh?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -591.\nAnswer: -2\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 4\/59, 0.69, 2?\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 4280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 + -0.11. Let u = s - -0.13. Is u less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 3:08 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 10*m**2 + 13*m. Let r be n(-6). Let z = r + 88. What are the prime factors of z?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:04 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19332 = -5609*g + 6683*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 3)*(-1 + 0 - 4) + 3 - 2 + 1)*(-1 + 0 + 3)*(-x + 4*x - 5*x + 11).\nAnswer: 32*x - 176","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(119)\/(sqrt(14)\/sqrt(2)) - (sqrt(153))**2*3.\nAnswer: -459 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1084393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 = 2*z, 0 = -2*z + 3*z - 3*w + 13. Solve -y + z = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-10)*376\/(-282))\/(21\/15).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 2, 282 in descending order.\nAnswer: 282, 15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 720 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 18*c**3 + c - 2. Let n be r(2). Suppose 91 + 63 = 5*k + 4*x, -n = -4*k + 2*x. Suppose 5*j + k = l, -l - 2*j + 30 = -5*j. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62680 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -898*d - 5342. What is the remainder when 108 is divided by y(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 233\/545 + -3\/109. What is the nearest to 2\/3 in 10, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73957249?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 273 and -8 - (-3 - -4)*-29.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1005+-832536.478\nAnswer: -832536.3775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*((-4082)\/52)\/(-157)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 11:12 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*y - 78 + 9, 2*z - 2*y = -24. Let x = z - -28. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -648 (base 14) in base 6?\nAnswer: -5424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 339, 1458, 3323, 5934, 9291, 13394, 18243?\n\"Answer: 373*w**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, y: 1, u: 2, q: 1, i: 2}. What is prob of sequence mqu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4178194402.\nAnswer: 2, 8219, 254179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2))\/(25\/5350). Let t = 182 - z. Suppose 4*q - 45 = -4*m + m, 0 = -5*m - q + t. Solve -4*p = -0*d - 5*d + 32, m = 3*d - p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucucubucuucucuc. Give prob of sequence cu.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -184*f**3*n**2 + 48151*f**3 - 155*f**2*n**2 + 89*f*n**2 - 10*f*n - f wrt n?\nAnswer: -368*f**3 - 310*f**2 + 178*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1117*f - 306 = 1134*f for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + b**2 + 4*b + 2. Let g be m(0). Solve 0 = -g*c - 1 - 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - sqrt(48)\/sqrt(3)*-4)\/(sqrt(200) - sqrt(200)*-1) - ((sqrt(2) + 0)*-4 + sqrt(2) + (sqrt(800))**2 + 1).\nAnswer: -801 + 7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8571456 (base 9) to base 14.\nAnswer: -8781ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 12. Let q be y(8). Let c be 1\/(1\/q*(3 + -7)). Is c bigger than 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58375009.\nAnswer: 7, 11, 113, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0391 and -15169.\nAnswer: -593.1079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 7*z + 4. What are the prime factors of q(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82927.65038424 - 83055.6504. Let k = 128 + q. What is k rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 20. Calculate the smallest common multiple of (-22)\/(-77) - 6*9\/(-7) and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60 in 0.6, -1\/10, 2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, -4, 5 in decreasing order.\nAnswer: 63, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400154, 800312, 1200470, 1600628, 2000786, 2400944?\nAnswer: 2801102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 4*t**2 + 7*t + 80. What is the lowest common multiple of j(6) and 25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(2\/15)))\/r*r*r**(2\/7))\/(((r*(r*r*(r\/(r**(-2\/11)\/r)*r)\/r*r)\/r)\/r*r)\/(r\/(r\/(r*(r\/((r**(-9)\/r*r)\/r*r)*r)\/r)))) assuming r is positive.\nAnswer: r**(7204\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k + 22. Suppose 0 = 2352*f - 2364*f - 48. Let r(w) = -4*w + 22. Calculate f*r(y) + 5*q(y).\nAnswer: y + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 106*q**2. Let a(p) = 4*p**2. Calculate z(a(w)).\nAnswer: 1696*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 148564213 to the power of 1\/2, to the nearest integer?\nAnswer: 12189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/15))\/s**(13\/2) assuming s is positive.\nAnswer: s**(-169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 7*f**2 - 7*f - 2. Let l be r(-6). Suppose l*p - 10 = y, -2*y + 8 = -y + 5*p. What is the second smallest value in 5, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*24966.1985.\nAnswer: 124830.9925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 249 + -1 + 1. Let v = m + -150. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2448 + d5b?\nAnswer: 32a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1647114?\nAnswer: 2, 3, 7, 39217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-3 + 1 - -7)) + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b + 22 = 0. Let n = b + -8. What is the lowest common multiple of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 2*c**2 - 4*c + 5. Is o(5) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*u - 3*u - 50*u)*(711*u - 100*u**3 - 711*u) to the form o*u + t*u**4 + h + s*u**3 + g*u**2 and give t.\nAnswer: 6000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -4) + 6 + -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 4. Suppose s - p = c - 2, -5*s = -p + 1. Let x = 10 - 6. Solve x*m + 4*z = -28, 9 = -s*m + 3*m - 3*z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -225.3141 to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 - 3*n + (8 - 3 + 4)*(57*n + 15*n - 11*n + 1))*(-5 + 4 - 1) in the form k*n + j and give k.\nAnswer: -1092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -0.1, -0.9, 1056\/329 in descending order.\nAnswer: 40, 1056\/329, -0.1, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -200710, -1605568, -5418746, -12844402, -25086694, -43349780, -68837818?\n\"Answer: -200693*s**3 - 2*s**2 - s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -1\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*x - 16*x - 17*x - 13*x + 571.\nAnswer: 7*x + 571","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115*d**3*f*t**2 - 2*d**3*f*t + 2*d**3 - 2*d**2*f - 20*d*t wrt t.\nAnswer: 230*d**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 136 = -4*n, 2*n - n - 34 = -3*u. Let t be -5 - -2 - n\/(-10). Let f = -109\/5 + 22. Which is the closest to t? (a) 3 (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6)*7 + (-22 - (-2250)\/100). Let v(o) be the first derivative of o**2\/2 - 6*o + 1. Let p(n) = 5. Calculate z*p(t) - 2*v(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003523503311 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10756544 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**5 + f**5 + f**5)*(-2 + 2 + 2)*(-2 - 1 + 4)*(0 - 5 + 0).\nAnswer: -10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*d, -9*h - 3*d + 8629 = -4*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3675 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35487, 283896, 958089, 2270958, 4435395, 7664292?\nAnswer: 12170541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z + 13 - z**3 - z**4 - 3*z**2 + 5*z**2 - 12 to p*z**4 + v*z**2 + u + y*z**3 + h*z and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1410\/(-24) - (-3)\/(-12). Let p = 58 + w. Calculate the remainder when (-1 + p + 3)*(5 + 2) is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*r + 86*r + 290*r + 1 + 0 + 13*r as a + b*r and give b.\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n + 1. Let j(q) = q**2 - 7*q - 5. Let i be j(8). Is f(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 12*v - 5. Let w(u) = u**2 + 10*u - 17. Let z be w(-12). Let p be o(z). Suppose 0*l = 6*l - p. Solve q + 13 = -2*b, -b + l*q = 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469538 is divided by 11738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6)**33 assuming m is positive.\nAnswer: m**198","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 1\/(4\/8). Let s = 0 + i. Solve s*w - 3*m - 6 = 0, m = -3*w - 0 - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -9) + -21 + -3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 14*g + 1. Let y = 63 + -49. Let a be d(y). Solve -4*n - a = -3*b, -b = b - 2*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.1, 4, -3\/7 in increasing order.\nAnswer: -3\/7, 0.1, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -3. Let d be ((-1439912)\/36)\/(x\/3). Let p = d + -14988. What is the common denominator of p and 145\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -993*9\/(-108)*52 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - 1100101000110?\nAnswer: -1100101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**8\/1176 + f**7\/735 + f**6\/420 - f**5\/210 - 3*f**2 - 5. Let n(b) be the second derivative of m(b). Factor n(a).\nAnswer: -2*a**2*(a - 1)**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/3 - 310*u**3\/3 + 610*u**2\/3 + 310*u\/3 - 204 = 0.\nAnswer: -1, 1, 2, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - v - 1. Let g be f(3). Suppose -k - 6 + 1 = 0. Put g, k, 3 in decreasing order.\nAnswer: g, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5001417?\nAnswer: 3, 17, 97, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2518530 to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10062400?\nAnswer: 2, 5, 19, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 139 + -70. Let n = d - 41. Let j = 33 - n. Solve -j*s - 2*m = 4 + 2, -3*m - 9 = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 1:25 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.374 - 2.374. Put -1\/2, -4, -0.4, g in decreasing order.\nAnswer: -0.4, -1\/2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 682, 681, 680, 679?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 748650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 3*b + 4*l, -6*b + 51 = -27*l - 22*l + 46*l for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 32. Suppose u - 2*h - 1 = -4*h, m*h - 15 = -3*u. Suppose -10*l = -u*l - 771. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5394 = 4*n - 3*w, -3*n + 3921 = 2*w - 150. Is n a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50815.83357 rounded to the nearest one hundred?\nAnswer: 50800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 155? (a) 5 (b) 3\/25 (c) 3 (d) 9\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/5 + 2\/5. Suppose -j*y - 12 = -5*y. Let q(l) = -9*l**2 + 6*l - 6. Let w(u) = -17*u**2 + 12*u - 11. Let k(d) = y*w(d) - 11*q(d). Factor k(v).\nAnswer: -3*v*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/7)\/(144\/(-336))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 317, 467, 619, 773, 929?\nAnswer: 1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 681 + -661. Suppose -4*u = r, -6*u + 3*u = 3*m - 99. Calculate the greatest common factor of m and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*c + 49*c + 87 = 0. Let s = -87 - c. Suppose s = x + k - 5, 0 = -5*x - 7*k + 4*k + 15. Solve -6*v = -3*l - 2*v - 28, x = -l - 2*v + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9020, 9008, 8992, 8972, 8948, 8920, 8888?\nAnswer: 8852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 241200 and 480?\nAnswer: 482400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + u + 0*u)*(-6*u**2 - 4*u**2 - 6*u**2) - 6 + 6 + 11*u**3 + 3*u**3 - 4*u**3 + 0*u - 15*u to f*u + m*u**3 + a + v*u**2 and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)*r*r\/r**(-1\/4))**(1\/25)\/(r**(-7\/5)\/(r*(r*r**(-1\/4))\/r)*((r**(2\/21)*r)\/r)\/r*r**(-2\/9)) assuming r is positive.\nAnswer: r**(4862\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -40. What is the nearest to -2\/5 in -1, v, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 260, 1041, 3036, 6815, 12948, 22005, 34556?\nAnswer: 51171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**2*w**3 + 383261*l**2*w - 2310*l*w**3 + 2*l*w + 207*w**2 wrt w?\nAnswer: -12*l**2*w - 13860*l*w + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z - 16 = 0. Suppose 7 = 3*h - z. Let q(j) = 21*j**3 - 7 - 5*j**2 - 20*j**3 + 3*j - 3*j. Determine q(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 8:01 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1192 - 831. Suppose -t + j = -3*a, 2*a + 2099 = 5*t + 333. Does 44 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, o: 2, z: 1, h: 1, c: 4}. Give prob of sequence cz.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, a: 9, m: 4}. Give prob of picking 1 q, 1 a, and 1 m.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/21)*z*(z\/z**4)\/z*z\/(z*z*(z*z**(-4)\/z)\/z)*z**3*z*(z**7*z*z**5*z*z)\/(z**(2\/15)\/(z\/z**(-8))) assuming z is positive.\nAnswer: z**(1007\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**2\/3 - 896*v\/9 - 3088480\/9 = 0.\nAnswer: -1940\/3, 796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 14 - 20 + 6*s**2 + 22*s**2 as c + m*s + b*s**2 and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 8*v - 11. Calculate h(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 7*i**2 - 4*i - 2. Let l be k(4). What is the highest common divisor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-256)\/(-48)*1*(-8 - -2)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855 a factor of 1938634889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*w + 6683 = -2242 - 4175 for w.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*f + 35236 - 3976, 78129 = 5*y + 4*f. List the prime factors of y.\nAnswer: 3, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -462 + 129. Find the common denominator of -34\/9 and (y\/(-4))\/(-3)*6\/27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + c - 1. Let x(u) = 4*u**2 - 7*u + 3. Let n(p) = -x(p) - 5*z(p). What is n(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397 minutes after 5:13 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 - 255\/2. Let p = -1.05 - -0.05. What is the closest to p in -0.01, t, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 0*v + 0*v**2 + 0*v**3 - 1\/3*v**6 - 2\/5*v**5 + v**4 + 10. Factor m(r).\nAnswer: -2*r**3*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 150\/(-8) - (-3)\/(-12). Let t = -2 - g. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by -9.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**5\/20 + 2*w**4\/3 + w**3 - 2*w**2 - 2*w. Let v be q(-7). Suppose -3*i + 4*i = 2. Sort 5, v, i in descending order.\nAnswer: 5, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43496665 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 + 11 = -3*x. Suppose -f = -x - 3. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66031 and 147.\nAnswer: 1386651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - 58. What is the third biggest value in 1\/5, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-7) - (-143)\/((-44044)\/(-5984)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g + 1. Let l = -19 + 29. Suppose l = 2*f, -3*f + 6 = 2*q - 5. What is n(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58080 and 1927893?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0 - 0)*(3 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 400 and 2401440?\nAnswer: 12007200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 7. Let m(w) be the second derivative of -w**3\/6 + 2*w**2 + 11*w. Let d(b) = 2*b + 5. Let i be d(-5). Calculate i*m(o) + 3*f(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*a + 14, 3*a - u + 0 = 5. Let h = 21 + -18. Suppose v = a*l + 2, h*v + 2*l - 13 = 4*l. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millisecond in microseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93122253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(130)*-4 + sqrt(130) + 4*(sqrt(130) - sqrt(130)*-1))\/(6*6*(sqrt(250) + sqrt(10))).\nAnswer: 17*sqrt(13)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 17 = -5*f. Let c(z) = -z**3 - 2*z**2 - z - 2. Let a be c(f). Let v be (-2)\/10 - a\/(-15). Sort 2, v, 4.\nAnswer: 2, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 692 + -489. Suppose -2*c + u + 263 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**3 - 23*z**2 - 42*z - 30. Give k(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4\/10 + 5718*t**3\/5 + 1057312*t**2\/5 = 0.\nAnswer: -11248, -188, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/7)*(m**(-3\/7)*m)\/m*m*(m*m\/(m\/(m**0*m)))**(1\/19) assuming m is positive.\nAnswer: m**(128\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7*m = 30. Let i(z) = -z**3 - 6*z**2 - 2*z - 7. Let j be i(m). Suppose j*n = n. Which is smaller: -2\/47 or n?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1305 - -1319. Let h = -16 - -12. Is r greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-1 + -3 + -2)) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/77 + 27\/21 - -1. Let v(k) be the second derivative of -1\/5*k**5 - 9*k + 0*k**j - 7\/20*k**6 + 0*k**3 + 1\/6*k**4 + 0. Solve v(t) = 0.\nAnswer: -2\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*p**3 - 363*p**2 - 474*p - 268840 wrt p.\nAnswer: 9*p**2 - 726*p - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.786 + 8.586. What is the second biggest value in 3\/4, n, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 0.2 (c) -4\/73 (d) 3\/2 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhghhhhgghh.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - 2*l**2 + 4*l**2)*(0*l**3 - 2*l**3 + l**3) + 5*l**5 - 13*l**5 - 52*l**5.\nAnswer: -58*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 2*j**2 - 1. Let a be k(2). Let w(v) = 9 - 105*v + 9 + 9 + 3 - 34. Let q be w(a). Round q to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49486206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -195602670 rounded to the nearest ten thousand?\nAnswer: -195600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + s)*(s**2 - 1 + 1) - s**3 - 10*s**2 - s**3 + 5*s**2.\nAnswer: -3*s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 8\/59 (b) 0 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 11:24 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 6*j - 5740 = 0. What are the prime factors of j?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 444*q**2 + 320?\nAnswer: 888*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1266\/7 + 2525\/14. Is s bigger than 971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0406*2\nAnswer: 0.0812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 - -68. Suppose 2*j = i, 4*w = 4*j + 4 + 16. Let h(u) = -3*u + 1. Give h(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -2. Let n = -95 - -92. What is the biggest value in l, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8634.031 nanoseconds in milliseconds?\nAnswer: 0.008634031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4292226 to the power of 1\/2, to the nearest integer?\nAnswer: 2072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 10*d + 4*d - 48878.\nAnswer: -d - 48878","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a724 - 2b8?\nAnswer: -6aa20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -158114 + 0.6.\nAnswer: -158113.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15879513*b*f**2*n**2 + 4*b*f**2 - 17*b*f*n - 2*b*f + 2*b*l*n**2 + 15792*b*l*n + 2*f**2 - 2*f*l*n + 1 wrt n?\nAnswer: -31759026*b*f**2 + 4*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, w: 1, a: 3, c: 5, i: 3, t: 2}. Give prob of sequence ictw.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 3*f**2 + 15*f**2 + 28*f - 7*f**2.\nAnswer: 9*f**2 + 28*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*o + 4*b - 9, -5*o + 5*b = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*q + 22 = 0, 681*p - 14 = 680*p - 2*q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3509045659?\nAnswer: 7, 43, 11657959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + z - 8. Suppose -4*t - t - 12 = -z*v, -5*t = 3*v - 9. Which is smaller: t or 1\/24?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 14*j**2 - 11*j - 139. Calculate n(-16).\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 10:17 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/42*((-77)\/(-132) + 0).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.51 + -1.56. Let i = 0.25 - g. What is the nearest to 8 in -0.3, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -44103041?\nAnswer: 44103100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-7 + 39) - (3 + (-15 - -7))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 264 - 264. Let z(g) be the second derivative of 1\/12*g**4 + v - 5\/2*g**2 - 15*g + 5\/6*g**3. Give z(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d. Let h(x) = 74994*x**2 - 167. What is h(j(n))?\nAnswer: 674946*n**2 - 167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 348*o**2 - 3121*o - 32849. What is m(357)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1120 and 1100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281, 573, 865?\nAnswer: 1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -212, -310, -406, -500, -592?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - v**2 + (4*v - 3*v + v)*(-6*v + 3*v + v) + 2*v + v**2 - 2*v - 485*v**2 - 462*v**2 + 752*v**2.\nAnswer: -199*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-12)*(-2 + (-20)\/(-8)). Solve a = 6*s + 17 + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16467 (base 9) in base 16?\nAnswer: 2c38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9150)\/(-3030) + 104\/(-5252).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 4. Let w = 0.9 + b. Let c = 0 - w. Which is bigger: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002079627 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7373863841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 + -35 + 30 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -9\/4*j - 1\/4*j**3 - 3\/2*j**2 + 2. Factor w(z).\nAnswer: -3*(z + 1)*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 + 3*v**2 + v + 2. Let q be 2\/4*1*4. Let p(m) = -3 - q*m**2 - 4*m**2 - 2*m - 3*m**3 + m**2. What is -3*p(c) - 5*x(c)?\nAnswer: -c**3 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3525 and 20\/194103.\nAnswer: 228071025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4257 (b) 0.3 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3)*(16 - -5). Suppose z*a - 4*a = 12. Suppose g + 27 = a*g. Calculate the remainder when g is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -p - 0*b - 2*b, 4*p - 24 = -4*b. Let j(k) = -615*k**2 + 616*k**2 - p + 1. Let c(q) = -q**2 + 42. Give j(c(l)).\nAnswer: l**4 - 84*l**2 + 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 1. Let o(a) = 14 + 25 - 75 + 17 + a + 17. Give o(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 0*h + h)*(3*h - 3*h + 2*h) + 4*h**2 + h**2 - 4*h**2 + 4*h**2 + 111*h**2 + 151*h**2 + (0 + 0 + h)*(-3*h + 0 + 0) to t + q*h**2 + s*h and give q.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 1. Let f(z) = 7*z + 8. Let m(j) = -28*j - 33. Let x(o) = 51*f(o) + 12*m(o). Determine 12*q(v) + x(v).\nAnswer: 33*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 286*k**2 - 4 + 1 + 1259*k**2.\nAnswer: 973*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9)\/d**(-3\/4))\/(d\/(d\/(d\/(d**(-2\/11)*d*d)))*d**(-3)) assuming d is positive.\nAnswer: d**(1721\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*g - 80 = 0, -4*x + 8*x = 3*g + 366. Is 90 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.78 + 0.22. Let n = p - -16. Let k = n + -37.5. Which is the closest to -1\/3? (a) k (b) 0.2 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38 and -1.18132?\nAnswer: 44.89016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Suppose 2*w + y - 23 = 0, -w + q*w - 42 = y. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-1 + -3)\/(-8)). Suppose -y - 2*y = -27. Solve 4*u - t - y = j*u, 5*u + 5*t = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 485\/18 - (-529 + 556).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12335496*n*q**3 + 6*n*q**2 - 2*n - q**3 + 133462*q**2 wrt q.\nAnswer: 74012976*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) -2\/9 (c) -437 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6186542\/181 != -34180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*y**2 - 5*y - 6 - 11 + 15 + 5*y in the form p*y**2 + c*y + z and give p.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/((-8)\/(-448)). Let v = a - 28. Is (-3)\/3*(v - 403) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1406825734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/((-3465)\/1377) - -14.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*j - 12, 3*u = 4*j + 12 - 0. Suppose j = 2*d - d - 3. Solve 0 = 5*k - 2 - d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6225183021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001101001001100111 (base 2) to base 8.\nAnswer: 2151147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 165 - 35 = 4*h, -q - 62 = -2*h. Let f be (-6)\/4*-4*(-18)\/(-12). Factor 5*p - h*p**3 + f*p**3 + 11*p**3 + 9*p**3 + 4*p**2.\nAnswer: -p*(p - 5)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6448\/(-78))\/31*(-45)\/5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**4 + 6*c**4 - 8*c**4 - c**4 - 2*c**2 + 1563*c + 8*c**3 - 1589*c as g*c**3 + a + k*c**2 + o*c**4 + w*c and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + y + 10 = 0. Let g(j) = -3 - j**3 - y + 7*j**2 + j**2 - 8*j. Give g(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -833.91, -0.01, 0.1?\nAnswer: -833.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-7) - (-3 - (-2976)\/14). Let p = 207 + y. Let c(s) = -10*s - 3. Let g(u) = -5*u - 2. Determine p*c(t) + 5*g(t).\nAnswer: 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(78)\/(2*sqrt(6)) + (sqrt(468)*-1)**2 + -3).\nAnswer: -930 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 - ((-76)\/(-76))\/(1\/11). Sort -5, 3\/2, 0.2, 129, j in descending order.\nAnswer: 129, 3\/2, 0.2, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181880 is divided by 36063?\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 3, 5, -1 in ascending order.\nAnswer: -1, 3, 5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3226\/7, 5, -38, -5 in descending order.\nAnswer: 3226\/7, 5, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/5)*g)\/g*g**4)\/((g**(1\/2)\/g)\/g**(2\/5)))\/((g\/g**2)**(2\/97))**(-42) assuming g is positive.\nAnswer: g**(4107\/970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-2)*-1*(2 - 49\/35). Suppose v = -0*v. Suppose -2*m = -v*m + 20. Sort 1, m, n, -4.\nAnswer: m, -4, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 2, 7, -7 in increasing order.\nAnswer: -7, -5, -4, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjkjvkqjjt. Give prob of picking 1 v and 1 k.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 48. Let n = w + 39.8. Let z = -0.3 + 0.29. Which is the biggest value? (a) z (b) n (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -51, -32, 5, 66?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 12*l**2 + 3*l - 77. Let z be v(7). What is the greatest common factor of z and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 7:49 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (48 - -6 - -2)*53 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 352683 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.41871 and 52.\nAnswer: 52.41871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + -4 + 4 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u = -7*u - 32480. What are 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 remainder when 169064 is divided by 319?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*z - 17. Suppose -t + 4*q = -4, -61 = -4*t - z*q + 5*q. Solve 5*a = a - t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27468 and 391419.\nAnswer: 1565676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 17 - 16 = -x, -21 = -x - 2*v. Let w(k) = k - 16. Determine w(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3003311 (base 7) to base 10.\nAnswer: -354131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 4*o**2 - o - 7. Let g be d(5). Let c(w) = 6*w**2 - 7*w + 1. Let k be c(-5). Let l = 277 - k. Calculate the highest common divisor of l and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*h - 89*h + 559*h = 23304 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*o**2 - 204*o - 232.\nAnswer: 4*(o + 1)*(7*o - 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293615410?\nAnswer: 2, 5, 11, 2669231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z**3 - 2*z**2 - 4*z + 3. Let r(c) = 22*c**3 - 5*c**2 - 11*c + 8. Let k(s) = -8*d(s) + 3*r(s). Calculate the lowest common multiple of k(1) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 15\/36*-3) + -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 1 + 45*l**2 - 32*l + 893*l**3 + 35*l**2 - 1 + 107*l**3 + 1500*l**4 = 0?\nAnswer: -2\/5, 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/612 and 5\/72.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, q: 1, x: 2}. What is prob of sequence ff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2843*r**4 + 67305*r wrt r?\nAnswer: 34116*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 18 = -5*k + 3*h, -4*k + 3*h + 19 = 0. Let w be (6\/18)\/(k\/(-2)). What is the closest to -2 in w, -0.02, 2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 4. Suppose -18*p + 23*p = -20. What is the third biggest value in 2, p, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*9\/12 + 6\/(-2) - (-1104)\/1056?\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 3*q**5 - q**3)*(-2 + 2 + 3 + 4 - 5 + 0 + (1 + 3 - 2)*(4 + 5 - 4)) + (2 - 2*q - 2)*(q**4 + q - q).\nAnswer: 34*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1465394014 to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n**5 - 7576*n**4 - 671528*n**3 + 338044*n**2 + 6044562*n - 2428740 = 0. What is n?\nAnswer: -655, -103, -3, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1562 + 1578. Solve -11 = z*s - 91 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 8*k**2 + 51*k - 35. Calculate j(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4221 (base 6) to base 5.\nAnswer: -12244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**3 + 2*w**2 - w. Let r be g(1). Suppose -4*u - 12 = -0*u - 4*d, 5 = -5*u - 5*d. Let k = u + r. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -58*w**2 + 10*w + 7. Let o(j) = 114*j**2 - 19*j - 13. Let q(v) = -13*b(v) - 7*o(v). Let z(f) = -45*f**2 + 2*f. Determine -2*q(r) + 3*z(r).\nAnswer: -47*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2015*h + 30421. Give l(15).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.93285 - 5.43005. Let r = p + 6.838. Round r to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = 0, 10*t - 7*t = -3*v + 336. Calculate the greatest common divisor of v and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 5*g + 2*g)*(239 - 4*g + 102 - 21).\nAnswer: -4*g**2 + 320*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q - 3. Let o be g(-3). Let b be (3\/o)\/(28\/(-6)). What is the third biggest value in b, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = c + 2. Factor 12 + 3*s**2 - 12 + c*s.\nAnswer: 3*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**5\/10 + 5*w**4\/12 - w**3 + w. Let g(y) = -6*y**3 + 14*y**2 - 17*y. Calculate 6*g(x) - 17*v(x).\nAnswer: -2*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -17 + 14 + 2*c**2 + 4*c + c - 3*c**2. Let o = -15282 + 15286. Determine z(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1780546 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1916419\/4040 - -211\/808. Let g = -29367\/62 + 237\/124. Let q = t - g. What is the common denominator of -81\/4 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spjjowjsjjpjpjjowjj. Give prob of picking 1 o and 1 w.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i - 7. Let r be c(5). Calculate the greatest common divisor of r and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - 3*t + 2*t**3 - 455*t + 868*t - 412*t - 1935*t**3 + (2*t - t + 0*t)*(-2*t + t**2 + 2*t) to the form n*t**2 + o*t**3 + a + x*t and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**7\/70 + 3*j**4\/8 + 77*j**3\/2 - 79*j**2 + 2*j. Find the first derivative of n(f) wrt f.\nAnswer: -12*f**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (4 + (sqrt(2299) + -1 + sqrt(2299))*-4)*-1)**2.\nAnswer: -1936*sqrt(19) + 147257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 14, j: 1}. What is prob of picking 3 t?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 5:07 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*m**2\/3 - 1778*m + 1334\/3.\nAnswer: -2*(m + 667)*(4*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.5, 1, 22, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7*-11.25248\nAnswer: -78.76736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.274 - 0.23. Let t = 3.956 + f. Which is the closest to -2\/7? (a) t (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2215 (base 6) to base 13.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(180\/(-5)))\/((-5)\/40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.4, -385, 0, -8, -1.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 2, 2\/81, 0.4 in decreasing order.\nAnswer: 2, 0.4, 2\/81, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 - 4375*s\/3 - 230928.\nAnswer: (s - 4528)*(s + 153)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10430 (base 7) to base 12.\nAnswer: -1622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94780501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**2 + 1 + 16 - 6*s**2 - 8.\nAnswer: 9*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 + 398*l\/9 - 44.\nAnswer: -2*(l - 198)*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-132)\/11*1\/1. Let n = f - -13. Let y be (-11)\/5 + 1\/5. Put y, n, 5 in increasing order.\nAnswer: y, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - m - 1. Suppose -13 = 3*v + 68. Let x = v + 51. Suppose -s = 3*s + x. Let o(g) = g**3 - 6*g**2 - 4*g - 6. Calculate s*r(b) + o(b).\nAnswer: b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42459 is divided by 772?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - w**2 + 0*w**2)*(-880*w**3 - 176398*w + 176398*w) + 4*w**4 - 4*w**4 + w**5.\nAnswer: -1759*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7325 + -7324. Solve 4*t + 12 = -3*a + r, 4*a = -3*t - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 100 + 4 + 2*s - 3*s + 0*s + 0*s + (-1 + 2 - 2)*(-6*s + 0*s + 2*s) + s - s + s.\nAnswer: 4*s - 99","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.019332 minutes to hours.\nAnswer: 0.3003222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (119 - 14456*h + 125 + 115 - 359)*(-h**3 - 5*h**3 + 4*h**3).\nAnswer: 28912*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*y + 4981 = -23207. What is the highest common factor of 232 and y?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 4*u - 3. Suppose 330*q - 366*q = -72. Determine i(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + g - 4. Suppose -3*l = 2*i + 237, l = -3*i - 62 - 10. Let r = -78 - l. Determine q(r).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*n**5 - n**2*s**3 - 8*n**2*s**2 + 19*n*s + 2*s**3 wrt n?\nAnswer: 140*n**3 - 2*s**3 - 16*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = 7*j - 5*j. Solve j = 4*m + m - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*f - 14*f - 15*f)*(-3*f**3 + 3*f**3 - 3*f**3) to y + h*f**3 + q*f + x*f**2 + n*f**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(sqrt(24)\/sqrt(2))**2*-6.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x - 5*x)*(-153 - 47 - 1544 - 941 + 18 - 1441).\nAnswer: 12324*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - -3*(-30)\/(-18). Let d be 7*m\/(-6) + 20\/(-40). What is the second smallest value in -2\/15, -4\/5, d?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-18))\/(264\/396))\/((-2)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00255309 to 5 dps.\nAnswer: -0.00255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*q**2 + 66*q**2 - 6*q + 50*q**2 + 178*q**2 - 73*q**2.\nAnswer: 200*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 11\/3. Let j = 106\/3 + -221\/6. What is the second biggest value in j, -11, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.11038105 - 1.080381. Let t = -0.03 + r. Round t to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1827 + 259*h**3 + 919 - 5*h + 908 as k*h + y*h**3 + q*h**2 + o and give y.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11910184 is divided by 700599.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/28 - 50\/(-63))*-3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7473\/211735)\/((-4)\/200).\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5918 is divided by 888?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -176\/3, 1368, -3, 2, -0.4 in descending order.\nAnswer: 1368, 2, 0.3, -0.4, -3, -176\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4057980.\nAnswer: 2, 3, 5, 47, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*6*4.\nAnswer: 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*s - s. Let f = s + 8. Let j be (-6)\/2 - (-8)\/f. Solve -5*o - j = 24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1508676, -3017327, -4525978, -6034629, -7543280?\n\"Answer: -1508651*j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -17. Suppose -4*o = -r*g + 12, 2*o + 2 = -0*o. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 199*(-17)\/(-1). Let v be (223354\/8)\/(33\/4)*(-126 - -125). Let g = v + h. Calculate the common denominator of g and 55\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2\/9 (c) 4 (d) 32 (e) -2 (f) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14, -93, -216, -377, -570?\n\"Answer: m**3 - 28*m**2 - 2*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74217740 and 53620.\nAnswer: 7660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 436?\nAnswer: 7412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -797 and 0.3.\nAnswer: -239.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -2. Suppose 0 = -r - 13 - h. Let y(g) = 8*g + 2. Suppose -7*x = -2*x - 30. Let q(u) = 23*u + 6. Calculate r*y(b) + x*q(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11010303 + -1?\nAnswer: -11010310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -731046 and -903608156.\nAnswer: -904339202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4056312 by 26.\nAnswer: 156012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 1 + (-10 - -2) + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 1332733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3788)\/(-73866) + (-266)\/624.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1736 = -2*k - 2*y, 8*y = -4*k + 5*y - 3474. Let r = -852 - k. What is the least common multiple of r and -1*(-2 - -1) - -11?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4646 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32980, -131855, -296628, -527299, -823868, -1186335?\n\"Answer: -32949*g**2 - 28*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p*p\/(p*p**(9\/5)\/p))\/p)\/p)\/p**(3\/38)*(p\/p**33)\/p*p\/(p*p**(-8\/9)\/p*p))**(-1\/4) assuming p is positive.\nAnswer: p**(56413\/6840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17395*m**2 + 5982*m**2 + 2086*m**2 + 4*m.\nAnswer: -9327*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m + 5*j = -175, -266*m - 4 = 264*m - 534*m - 2*j + 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.2 (c) 1\/3 (d) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 205 - 177.8. Let g = -27.4 + v. Which is the nearest to g? (a) -0.3 (b) 0.2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3 + 5 - 6 + 3. Let s(o) = o + 9. Let p(t) = 5*b(t) - 3*s(t). Give p(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3810 - 2670. Does 57 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6. Suppose 0 = 2*a + 10, u = 5*g - g - 3*a - 15. Solve 5*v + g = -25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-81))\/((-4)\/54)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1364441283 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 2*n**2. Let g be k(-1). Let p = -0.04 - 0.06. What is the nearest to p in -2\/5, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5013 - 151*u - 5007 + 566*u)*(4 - 1 - 2).\nAnswer: 415*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 0*g - 205. Let q = g - -58. Suppose -3 = -j + q. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j*x*y - 2*j*x + 2*j*y**2 - 70*j*y + j + 9981*x*y**4 + x - 7*y**4 - 12*y wrt y.\nAnswer: 4*j + 119772*x*y**2 - 84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*l - 364 + 157 = 5*l + 153 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 7801 = 16748. Let u = -48983\/6 - p. Calculate the common denominator of u and 40\/157.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 5. Let o(w) = w**3 + w**2 + 2. Let z be o(0). Let f be p(z). Suppose 19828 = f*t + t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36452*s**5 + 2*s**4 + 2*s**3 + 3272497*s**2.\nAnswer: 2187120*s**2 + 48*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) - (-4 + -1 + sqrt(171) - sqrt(171) - sqrt(171)) - sqrt(171) - (5*(sqrt(171) + 0) - sqrt(171)) - (1 + (-3*3*sqrt(171) - sqrt(171))**2).\nAnswer: -17096 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 11*a + 9. Let l = -1 - -6. Suppose -l*p + 70 = 25. List the prime factors of z(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3 - 15 = 0. Solve -c*n = 2*n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4829 + -14035. Let o = q - -4019. What is o rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 210125.\nAnswer: -5*(r - 205)*(r + 205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3*s + 6, -68*s + 65*s + 6 = -a. Let o(g) be the second derivative of a - 3\/4*g**4 + 0*g**3 + 0*g**2 + 2*g. Let b(i) = i**2. What is b(o(h))?\nAnswer: 81*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3 + (-2 + 0 + 3)*(0 + 1 + 1) - 1 + 10 - 1)*(-j + 0*j - 3*j).\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a = 22 + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1925, -2366, -2807?\n\"Answer: -441*k - 1484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-4)\/(-2)) - -4. Let v be 3*(-4)\/(-3 + -1). Suppose -2*l + 18 = l + 3*a, -16 = -v*l - 2*a. Sort l, 0, i in ascending order.\nAnswer: 0, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1788 at most 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -1ca38c?\nAnswer: -1ca388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -7) + (-12 - -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23114*z**2 + 3360?\nAnswer: -46228*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 59, 90, 121, 152, 183?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -a2?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 24*f - 2 + 1 + 10 + 2*f**3 - 25*f.\nAnswer: 2*f**3 - 49*f + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -35*f**2. Let o(z) be the first derivative of 5*z**4\/24 + z**2 - 124*z - 30. Let y(v) be the second derivative of o(v). Calculate q(y(u)).\nAnswer: -875*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -12 - 231712\/((-52)\/4)?\nAnswer: 2, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**5 + s**4 - 75*s**3 - 2*s**2 - 5309*s - 2?\nAnswer: 120*s**2 + 24*s - 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, z: 2, k: 1, e: 7, d: 4, i: 1}. What is prob of picking 1 z and 1 i?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 24 - 38 + 2457*f**3.\nAnswer: 2457*f**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 18*p + 76. Let k be c(-16). What is the greatest common divisor of k and 1242?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/17871936 and -67\/6?\nAnswer: 17871936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -22\/49 (b) -13\/4 (c) 2 (d) 1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + sqrt(450)))**2 + -2 - ((sqrt(320)*2)\/sqrt(10) + -4)*1.\nAnswer: -5408*sqrt(2) + 17102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25)\/3*(17 - 20). Suppose -f*d + 24 = -21*d. Suppose -4*a - 5 = -25. Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 7 = -3. List the prime factors of 0\/((-2)\/(-2)) - t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - 33. Solve 3*p = -2*a - 19, -2*p + 6*p + q = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20107862, 20107864, 20107866?\n\"Answer: 2*n + 20107860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -292402?\nAnswer: -29240a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b\/(b*b\/(b**(-1\/2)*b*b)))\/b))**(-1\/12)\/(b**5*b**(-1)\/b) assuming b is positive.\nAnswer: b**(-73\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 3023022?\nAnswer: -3023032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 322837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.374182nm in micrometers?\nAnswer: 0.006374182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19845 is divided by 987?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(8) - sqrt(2)))**2 + sqrt(2) + (sqrt(2) - sqrt(4)\/sqrt(2))**2*5.\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101455002 + -4?\nAnswer: 101454554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 255505477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 18*v - 25. What is the remainder when 736 is divided by s(-14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 14*x**2 - 2. Let l(a) = -532*a**2 + 77. What is 2*l(v) + 77*w(v)?\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 - 4*o - 6. Calculate the remainder when 272 is divided by z(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 2*l - 2*l + 0*l - 5*l + 4*l + (-2*l + 2*l - l)*(0 - 2 + 4) - 4*l + 2*l + 0*l + 0*l + l + l - 2*l - 4 + 4 + 1 - 1 + l)*(-4*l**2 + 8*l**2 + 4*l**2).\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 648*p + 434*p + 51207 + 46173 for p.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = -1 - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 5*j**2 + 3*j + 5. Suppose -56*m = -54*m - 8. What is n(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1)*2)\/((-1094)\/(-17504))*-1\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 4186 and 4241 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -721494, -1 in decreasing order.\nAnswer: -1, -7, -721494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 511095 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*t = 20*t + 588 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.31426992 rounded to three dps?\nAnswer: 5.314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -55ec (base 16) in base 9?\nAnswer: -33150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 5. Let a(t) = 6. Let h be 4*(-1)\/(-5)*-5. Let q(o) = h*b(o) - 3*a(o). What is the first derivative of q(s) wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 566 (base 11) to base 2.\nAnswer: 1010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 10 + -14 + 7 + 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = -12. Let z(v) = -14*v**2 + 15*v**2 + 6*v - k*v. Calculate z(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1602 is divided by 321.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 28. Let t be (48\/(-18))\/(6\/s). Let b be 0 + -1 + t + 1. Is -1 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122201 + -221?\nAnswer: -1200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 1:33 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2, -f - 3 = 4*t - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 2*w**2 + w**2 + (-2*w + 0*w + 4*w)*(4*w - 3*w + w) - 1400 + 581*w**2 - 287*w**2 - 293*w**2 as l*w + i*w**2 + h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from {s: 2, j: 3, u: 3, g: 6, b: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6.4. Suppose 0 = 4*s + 24, -17*s - 33 = 3*r - 12*s. Let j = 2.3 + -0.3. Sort v, r, j in descending order.\nAnswer: j, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 25 = -3*d, 4*d - 42 + 18 = 2*h. Calculate the least common multiple of 75 and d.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r. Let p(g) = -g. Let i(n) = -3*a(n) + 16*p(n). Let q(d) be the second derivative of 0 + 0*d**2 + 1\/2*d**3 - 5*d. Determine i(q(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 58444, 116849, 175254?\n\"Answer: 58405*d + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.812 + 0.208. Let s = 0.555 - a. Round s to 2 decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 t when three letters picked without replacement from {k: 2, t: 1, a: 9, v: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 766*b - 11764 = -483*b + 21959 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 12 = t + t, 3*t = -3*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -269 + 400. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 + 81*o**2 - 139*o + 3766. Calculate x(27).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m - 20 - 3*m - 3*m. Let g be t(-10). Suppose -g*v = -14*v + 36. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -11*m**2 + 3*m. Let v(b) = b - 1. Let h be (-7)\/(-2)*28\/(-49). Let c(x) = x**2 - x + 1. Let k(n) = h*v(n) - 2*c(n). Give y(k(r)).\nAnswer: -44*r**4 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 56*t - 19. Suppose -5*r = -5*p - 25, 15 = -3*p - 0*p. Suppose -98*f + 101*f - 18 = r. Is q(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 218*g**2 - 248*g - 993685 wrt g?\nAnswer: 436*g - 248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0*l + 7*l - 4 - 2*l. Let a(r) = -6*r + 5. Let u(o) = -4*a(o) - 5*c(o). Let h(j) = -3*j. What is u(h(x))?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 = 3. Let a(o) = -o**3 - 5*o**2 - 4*o + 5. Let u be a(-4). Suppose u*k + 80 = 5*w, -28 = -w - 2*w - x*k. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 490\/98*1\/(-2)*-6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 23561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 8*c**2 + 3*c + 9. What is k(7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-209)\/44)\/(-19))\/(3\/(-18)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-21)\/168*-32).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2479.955 hours in milliseconds?\nAnswer: 8927838000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1625 = k - 4*s - 2511, 2*k + 4*s = 8272. Does 94 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttvtgvzgtgzgzvgtt. Give prob of sequence vgzz.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -1475*n**3 - 3490*n**2 - 2004*n + 72 = 0.\nAnswer: -6\/5, 2\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.55, 4\/5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d**2. Let b(o) be the second derivative of o**4\/12 - 4*o. Calculate u(b(l)).\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/30)\/(((-87)\/29)\/(45\/(-6)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59.6*32.\nAnswer: -1907.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1 + -1.9. Let h = 11.5 + -8.19. Let l = h - 3.36. Which is smaller: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -48*i**2 + 100*i - 192. What is b(2)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 629, 1\/4, 0.0175?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*z = 8870, -32*z + 28*z + 20 = 0. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -893, -2494, -4805, -7826?\n\"Answer: -355*m**2 - 536*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-4\/5))\/r*r**(-5)*(r**(1\/3))**(5\/8) assuming r is positive.\nAnswer: r**(-359\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2194 + -981. Let s = 3175.08977 + o. Let b = 0.089 - s. What is b rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5135646 divided by -5135646?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 - 4*n**2 + n + 4. Let o(p) = -11*p**3 + 12*p**2 - 3*p - 12. Let z(j) = -7*d(j) - 2*o(j). What is z(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/5 + 122*b**4\/5 - 1384*b**3\/5 - 14552*b**2\/5 - 27744*b\/5 = 0. What is b?\nAnswer: -4, -3, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12\/9*(-2)\/(176\/12)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z + 4. Let s be m(9). Let n = -2 + s. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*d + 2*b, 2*d - b + 22 = 3. Let m = d - -11. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/36)\/((-2)\/21). Let v(o) = o**3 - 6*o**2 - 6*o + 1. What is v(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 - -82.3. Let y = 4 + -3.8. Let d = -0.3 + y. Sort d, -0.2, m in descending order.\nAnswer: m, d, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80037282?\nAnswer: 2, 3, 13, 1026119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2 + 12*w - 11*w**2 - 8 + 0*w**2 + 3*w**2 = 0. What is w?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*d**3)*(d**2 - 6 - 56*d + 6).\nAnswer: 2*d**5 - 112*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9502 is divided by 1053?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 249\/4. Suppose 0*x = 5*x. Which is the closest to x? (a) 4 (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 26*r**3 - 3*r**2 + 3*r - 17. Let t(v) = -v**3 - v**2 + v - 1. Let u(l) = -6*t(l) + 2*z(l). Find the first derivative of u(m) wrt m.\nAnswer: 174*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -8, 2, -4 in descending order.\nAnswer: 6, 2, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4*(3*(sqrt(192) - (sqrt(192) + 1 - sqrt(192))) + -1 + sqrt(192) + 4) + 1*(-4 + 1*sqrt(192) + 1)))**2.\nAnswer: 2880*sqrt(3) + 172836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 1, o: 1}. What is prob of sequence goq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 75*m = 75*m - 539196. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeec when four letters picked without replacement from cceeyceecce?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + 1 + -2 + 2*sqrt(80))*2.\nAnswer: -16*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.7, -1.6, -3, 21551?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-2)\/(-8))\/(711\/15642)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.2 + -22. Let j = q - -3.8. Which is the nearest to 2? (a) 4\/7 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 8*j**2 - 21*j + 15. Suppose -t + 4*n = 7*n - 10, 4*n = -5*t + 50. Let k be z(t). Let p(h) = -h**3 + 5*h**2 - 1. Give p(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(162\/(-30))*(-6)\/30?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 27767 (b) -0.2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 7*p + 6. Let i be j(-6). Let a be (0 - 5) + (i - -9). Solve -10*s + a = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31*(-60)\/7440*4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 551642141*t**2 + 895272279 wrt t?\nAnswer: 1103284282*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2120792, 8483137, 19087046, 33932519, 53019556?\nAnswer: 76348157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1739)\/(-148))\/(1\/(-892)). Let f = y - -188789\/18. What is the common denominator of 1\/36 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 21 + 43. Suppose 0 = -3*n + 3*p + 60 + 60, c = n - 5*p. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75141 is divided by 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1437*p - 1602. Calculate the least common multiple of j(3) and 387.\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1526 + 0.2474. What is the closest to d in -2\/3, 1\/2, -6\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 6*n + 3*o + 469619, 2*n + 2*o = 469644. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-2\/15)))\/(i\/i**(-2\/21)))**(-10)*(i\/(i*(i\/(i*i**(-1)\/i*i*i))\/i)*i)\/i**(-6\/7)*i**(-3)*i**5 assuming i is positive.\nAnswer: i**(304\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgkggkknkn. Give prob of picking 2 n, 1 g, and 1 m.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5404.472ug to kilograms.\nAnswer: 0.000005404472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -97*x - 50. Is s(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/(z**9*z*z)*(z**(-1\/3)\/z*z)\/z*z**4)**(-18) assuming z is positive.\nAnswer: z**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 15 + 7*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q - 1171855 = 852101. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + 7. Suppose -3*h + 34 = -95. What is the remainder when h is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17076 and 113840.\nAnswer: 341520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 688, -6, 4, -4 in descending order.\nAnswer: 688, 4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ljg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -393900 by 202.\nAnswer: -1950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -105348 and 7.\nAnswer: -105341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 286 - 277. What is the third derivative of -1 + 11*z**2 - 15*z**2 + 16 - 126*z**3 - q wrt z?\nAnswer: -756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2544899 is divided by 439.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1 (b) 2\/9 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-260*(-38)\/380)\/(2\/1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 107599, 107601, 107603, 107605, 107607?\n\"Answer: 2*j + 107597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*z = -4, -3*z = -5*f + 13 + 13. Let c = -2 - -7. Put c, -4, f in decreasing order.\nAnswer: c, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/21 - (-117)\/(-7). Let h = u + 17. Suppose -s + r = 2, -3*s + 2*r + h - 1 = 0. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 3 + 1)*(19287 - 19287 + 84*f)*(-2 + 2 - 2).\nAnswer: -3192*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/2172054 and 61\/4344108?\nAnswer: 4344108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -754 + 28 = -m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -13*s + 319. What is the units digit of y(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-1)\/(-15))\/1)\/(27 + (-6520)\/240). Are c and -17\/280 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3719166689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4318 times 3\nAnswer: 12954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32048439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j + 3*j)*(-1 + 3 + 1)*(-4*j + 0*j + j + (-j + 2*j + 0*j)*(1 - 1 - 2) + j - 2 + 2) - 12*j**2 + 2 - 1 + j + 14*j**2.\nAnswer: -70*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1396 = n + 3*n. Let v(w) = 30*w - 6. Let m be v(-7). Let a = m - n. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421927.7l in millilitres?\nAnswer: 421927700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 56) + 9 + 54.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 26*u - 30*u + 392, 6 = 3*u. What is the smallest common multiple of w and 132?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 27 - (2 + 0 + 0)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9677 - 6273. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.5 (b) -1 (c) -4\/5 (d) 4.05 (e) 3\/4 (f) 0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j - 26. Give w(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 289*u**2 - 5*u - 22. Give y(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 25 - ((6 - -2) + 0 - 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -3*i + 12. Let d(l) = 24*l**2 - i*l**2 - 4*l + 7*l. Let t(q) = -q. Let n be ((-15)\/10)\/(6\/(-12)). What is n*t(k) + d(k)?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 683.87.\nAnswer: -687.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + (0 - -2) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**2 - 7176*l + 3218436 = 0.\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005392554 to 7 dps.\nAnswer: -0.0005393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6441, -1, -2, 0.07, 2, -59, 5 in increasing order.\nAnswer: -6441, -59, -2, -1, 0.07, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2077 = 9*x - 6005. List the prime factors of x.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 3*t - 5. Let h be j(-5). Solve -2*q + 13 = -w - 0*w, 5*w = -h*q - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/480 and 7\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**2 - 132140*n - 132145 = 0. Calculate n.\nAnswer: -1, 26429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 3*j**2 - 158*j + 79*j + 30*j + 20. Let r be b(28). Round r to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 19, -11, -63, -143?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 3*k**2 + k - 4. Let t(p) = -2*p**2 + p - 3. Calculate -2*b(n) + 3*t(n).\nAnswer: 2*n**3 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48331949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 3:30 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12358 or 14243?\nAnswer: 12358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 8*u - 6 + 5*u + 2*u + 30 to the form x*u + v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*o - 203 = 0, -49*o + 48*o + 1 = 0. What is the remainder when 334 is divided by b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yodyodpppdd. What is prob of picking 2 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3366 + -3367. Is b bigger than -3\/445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {o: 9, d: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4562 + -4561. Which is the closest to j? (a) -4 (b) 3 (c) 5 (d) 114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 5*z + 6. Let t be h(-5). Let u be 8\/t - (-2)\/(-6). Let j be 4\/3 + u\/(-3). Let k(c) = 8*c**2 + c - 1. What is k(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154933799?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/165 and -29\/12369588.\nAnswer: 61847940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*n - 8 = 0, 17*r + 5*n + 23 = 14*r. Let a be r + (-24)\/252 + (-384)\/(-63). Solve -4*y + 21 - 5 = a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3037 = f - 4*t, 3*f + 5*t - 1182 = 7844. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*c - 33*c + 52*c + 1 to the form w*c + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/19)\/(z**(4\/3)\/z*z))\/((z**(-7)\/z)\/z*z**(-1\/12)*z) assuming z is positive.\nAnswer: z**(521\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2130*p - 406*p + 247*p.\nAnswer: 1971*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c + 50 = 0. Suppose -5*h + 18 = -47. Calculate the remainder when c is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4\/7, -2.629 in descending order.\nAnswer: -4\/7, -2.629, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 379863269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 14. Let p be (-3 - -3) + 1\/(-2). Which is smaller: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 + 5*r**2 - 5*r - 6. Suppose -4*u + 18 = -c + 4, 5*u - 23 = 4*c. Let l(s) = -2*s**3 + 3*s**2 - 3*s - 3. What is u*b(d) - 5*l(d)?\nAnswer: d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*(-2*f - 3*f + 6*f) - f - 2*f - 2*f + 10242*f - 20707*f + 10363*f in the form g + x*f and give x.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 - 1010?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-8)\/4*1))\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047630 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(2 + (-18)\/4). Let f(j) = 6*j**3 + 5*j**2 - j + 11. Let t(z) = 5*z**3 + 5*z**2 + 10. Let o(l) = -4*f(l) + 5*t(l). Calculate o(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20003884, -20003875, -20003860, -20003839?\nAnswer: -20003812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = d - 10 - 3, -4*y = -4*d + 28 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l = 3*n + 44, 5*l - 5*l + 5*n + 40 = -75 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 150.091 - 150. Let n = d - 0.09099144. Round n to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -0.5. Let q = 0.48 - y. Let h = q - 0.5. What is h rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 96*d**2 - 92*d - 8. Calculate i(-95).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 10*l**2 - 24*l + 5. Give m(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2076.665m in kilometers?\nAnswer: 2.076665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 395*k + 17850. Calculate the smallest common multiple of 14 and w(-43).\nAnswer: 12110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r + 9. Let a(v) = -7*v - 6. Let m(q) = 5*a(q) + 4*f(q). Calculate m(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**3 + 3*c + 2. Suppose 574 + 86 = -6*p. Let g = -112 - p. Calculate b(g).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.08011435?\nAnswer: 0.03204574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, 2\/3, -13, 76\/53, 1\/4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -660741149\/40160 - -31059\/2510. Let p = u - -16439. Calculate the common denominator of 109\/36 and p.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -11 - (2 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17801 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4641969?\nAnswer: 3, 17, 91019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4508870, -4508908, -4508976, -4509068, -4509178, -4509300, -4509428, -4509556?\nAnswer: -4509678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d6 + 2d?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -397928*q. Let k(x) = -x + 55. Calculate h(k(u)).\nAnswer: 397928*u - 21886040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11904136?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35504540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.44, -2541, 4 in decreasing order.\nAnswer: 4, 0.44, -2541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*x - 50, -x = i + 2*x - 45. Suppose -m - 5*b = 0, 5*m + 5*b = i + 7. Suppose -n + 9 = -m. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 5.9, 11219, 0.1, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 364570000 rounded to the nearest one million?\nAnswer: 365000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -25 and 1.12981.\nAnswer: -23.87019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -10. Suppose g + 18 = f. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 385*w**4\/12 - w**3\/6 + 289*w**2\/2 + 55*w + 1. Find the second derivative of l(t) wrt t.\nAnswer: 770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52726628\/518 - 1\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*sqrt(96))\/sqrt(768))**2.\nAnswer: -sqrt(2) + 3\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/12177359 and -56\/371319.\nAnswer: 474917001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 5:03 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/((-3)\/1) + -3. Suppose 3*l - 99 = -f, 2*f + y*f + 2*l = 469. Does 31 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1158 in 4, 35, 0.329?\nAnswer: 0.329","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b0 (base 12) to base 5.\nAnswer: -4224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1137*f - 3. Is m(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358564209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u + 7. Let h(o) = 9*o + 13. Let n(c) = 11*f(c) - 6*h(c). Give n(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000 (base 4) to base 3.\nAnswer: -1111022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 24. Suppose -u*n + 37 = -19. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/((g\/(g**(-2\/9)\/g))\/g))\/g*g*g**6\/g)**49)**9)**(-17\/3) assuming g is positive.\nAnswer: g**(-35819\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30740 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: Sort 21, -4, -3 in decreasing order.\nAnswer: 21, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4294, -4278, -4266, -4258, -4254, -4254?\n\"Answer: -2*f**2 + 22*f - 4314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) 18 (c) 0 (d) 2\/9 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1568 or 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3012 - -100023312?\nAnswer: 100020300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83421 is divided by 1063.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 7*m = 0. Solve m = 5*j - 3 - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 194840 + -103869. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 12510 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/((-3)\/(-2) - 1). Suppose 3*c - 28 = n. Calculate the remainder when 61 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/54948 and -50\/43139.\nAnswer: 9835692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 78443.36 years?\nAnswer: 941320.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 17*d + 5. Is 30 a factor of l(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(5\/(20\/56)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -265250 (base 8) to base 6.\nAnswer: -1553452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2725, 2735, 2745, 2755?\n\"Answer: 10*o + 2715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 7*b**2 + 8*b + 1. Suppose -3*p + 39 = -5*y, -5*p + 5*y = -4*p - 23. Give f(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.735 - 7.735. Put -4, 66, t in ascending order.\nAnswer: -4, t, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1319.\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21*(48\/42)\/8. Solve 2*d = -q - m*d - 4, 3*d - 20 = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 32 + 22 = 0. Is 10 a factor of 210\/((-1 - t - 5)*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052427 times -0.2288?\nAnswer: -0.0119952976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 4550430.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*v - 92605, 23149 = 13*v - 12*v - 2*n. Is v a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/11)*m)\/m**(10\/7)*(m*m*m**(3\/14)*m)\/((m\/((m*m*(m**(1\/2)\/m)\/m*m)\/m))\/m*m) assuming m is positive.\nAnswer: m**(239\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78 - 23) + 36 + 59.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43.288 + -19.277. Let d = 24 - i. Round d to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-30 - -1)\/((-16)\/(-2) + 154767\/(-19343))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2726, -6859, -12284, -19001, -27010, -36311, -46904?\n\"Answer: -646*w**2 - 2195*w + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 8*a**2 + 12*a + 1. Let l be t(-5). Suppose -54 = -2*j - 3*n, j + n - 98 = -3*j. What is the highest common divisor of j and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 246306320 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*((0*n**2 + n**2 + 0*n**2)*(n - 3 + 3) + 4*n**3 + 2 - 2).\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -962046*s**2 - 71*s + 97137 wrt s.\nAnswer: -1924092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 i when four letters picked without replacement from irnirnfnniiir.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + r + 15. Let h be z(0). Let t = 758 - 742. Is t at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 11 = -3*a + 36, 4*c + 4*a = 20. Let x = -9455 - -18821. Suppose i - x = -c*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 165807.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1759.\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18559*f = 18521*f - 874 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - q - 1326 + 18183 = 0, 4*q = -4*a + 16848. List the prime factors of a.\nAnswer: 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 25*p - 135 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 15 + 0 + 15.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1563788*g*v*w**4 + 183158*g*v*w**2 + 2*g*v*w + 4*g*v - 2*g*w - 3*v*w**2 + 4*w**4 wrt w?\nAnswer: 37530912*g*v*w + 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -33*o - 79 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/7*l - 12\/7*l**2 - 2\/7*l**3 - 16\/7.\nAnswer: -2*(l + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**3 + 14*k**2 - 5*k + 14. Let u(h) = -2*h**3 + 5*h**2 - 2*h + 5. Let m(l) = -4*n(l) + 11*u(l). Let d(g) = g**2 + g + 1. Calculate 2*d(w) + m(w).\nAnswer: 2*w**3 + w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*i + 164*i = -2*v + 53, 4*i = 3*v - 78. Which is the closest to -1? (a) 1\/3 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b - 25 = 17. Calculate the remainder when ((-9)\/b*6)\/(12\/40) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43430 and 10191?\nAnswer: 10292910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -291617, -583223, -874827, -1166429, -1458029?\n\"Answer: m**2 - 291609*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-19)\/(3325\/(-14)) - 1455365\/(-125).\nAnswer: 3, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 7. Let l(h) = 8*h + 36*h**2 + 0 - 1 - 29*h**2 - 7*h. What is the remainder when l(f) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 6 = 3*o, -21*n = -17*n + 5*o + 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f**2 - 3*f - 7. Let l(w) = -2*w**2. What is -5*l(g) - t(g)?\nAnswer: -g**2 + 3*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -10*m. Let c(q) = q. Calculate -60*c(z) + 2*v(z).\nAnswer: -80*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45942592 and 109504.\nAnswer: 3776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, b: 2, v: 6}. Give prob of sequence vfb.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2297430479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/14*-115*14\/(-230).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10326819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 370?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72168 is divided by 811.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 4*b + 1. Let i be r(-3). Suppose i*u = 3*u + 2. Suppose -u*j = j. Solve j = -2*a + 3*a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*f - 2*o, -3*f + 5*o + 20 = -f. Suppose -j = -5*b + 14, -4*b = -f*j - 4 - 3. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 6*d**2 + 13*d + 2. Let z be g(5). Find the common denominator of (-103)\/z*14\/28 and 11\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*((sqrt(1452) - sqrt(1452)*-2) + sqrt(1452))*6)\/((sqrt(192)\/sqrt(4)*4)\/(sqrt(24)\/sqrt(2)*6)).\nAnswer: -4752*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + 3*d**3 - 2*d**3 + (-2*d + 9*d + 6*d)*(-81*d + 16*d**2 + 81*d).\nAnswer: 207*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - -48. Let c = l - 72. Solve -c*z = 2*z - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 253, 261, 271?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.332 + 1.332. Let h = -18.3 - -18. Which is the nearest to h? (a) 5 (b) o (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(-2)\/12*-9. Let h be 19 + (z\/(-10))\/((-2)\/10). Calculate the highest common divisor of 48 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 390 and 4.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6198 = 1795*h + 982 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1073 times -0.033\nAnswer: -35.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100111010011 (base 2) to base 8.\nAnswer: -34723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d - 4. Let u be 9\/((-45)\/20) + 0. Let t(l) = 4*l + 3. Let a(c) = u*t(c) - 3*h(c). Let w(x) = -17*x. What is w(a(z))?\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-3)*(-12)\/10. Factor -2*c - 14*c**2 - i - 19*c + 3*c.\nAnswer: -2*(c + 1)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:54 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15771 = -164*u + 143*u. Suppose u = -12*r + 2455. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 847650320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (6 - 10) - (-3 - (6 - -1))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5499 - -1262. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.84 + 0.34. What is the nearest to 1 in q, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 223560?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171832941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 + 3*y**3 - 3*y**3 + (5*y**4 - 18*y**4 - 14*y**4)*(-4*y - 3*y + 5*y + (3 + 2*y - 3)*(6 - 4 + 0) + y + 3*y - 2*y).\nAnswer: -109*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 35*c**2. Let q(k) = 10*k. Let r(d) = -4*d. Let j(n) = -2*q(n) - 4*r(n). Give z(j(g)).\nAnswer: 560*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 5*z**2 + 5*z + 4. Let v be y(-3). Let h = 10 + 2. Suppose -5*q + 0*q + g + 1 = 0, -h = -3*g. What is the highest common divisor of q and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 582 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1361\/42 - 203\/6. Is y greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*j - 11*j - 15350. List the prime factors of j.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-11) + 2\/(-11)*-87. Suppose -4 + y = 3*w. Solve 0 = 5*v + 9 - w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*y**2 - 3*y + 33*y**2 - 12*y**2 - 6.\nAnswer: 3*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 9733040*s + 29199075.\nAnswer: 5*(s - 1946605)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2 + 2*i - 2. Let d(s) = 2*s**2 + 5*s + 3. Let j(z) = z**2 + z + 1. Let x(u) = -d(u) + 4*j(u). Give 6*n(l) + 13*x(l).\nAnswer: 2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twmsvtz. What is prob of picking 1 m and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**4 - 26410*a**3 + 4691315*a**2 + 4770520*a - 9435420 = 0.\nAnswer: -5454, -2, 1, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27583 is divided by 13787?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7029 and 9301?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 12*k - 92. Let v be u(19). Which is smaller: -679 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Let v = 10 + -14. Put -2, o, v in descending order.\nAnswer: o, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 21, 32, 1, -3 in increasing order.\nAnswer: -5, -3, 1, 21, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3 - (-117)\/(-81)*-3. Solve j - 11 = -m*x, 5*j + x + 1 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 36 + (-2 - (11 - -1))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.0873 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*p - 305, 0 = -5*d - 6 - 14. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**5\/60 + 12*j**2 + 36*j. Let k(a) be the first derivative of w(a). Let t(d) = -6*d**2 + 14*d. Determine k(t(s)).\nAnswer: -36*s**4 + 168*s**3 - 196*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.027*-141\nAnswer: 3.807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10048*z**3 - 19697.\nAnswer: -30144*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**3 - 183*u**2 - 147*u - 176. Calculate t(-45).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -2, 4, -22, 3, 0 in descending order.\nAnswer: 27, 4, 3, 0, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-228 - -239) + (-63)\/3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = -23*b + 78*b + 680 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjcc when four letters picked without replacement from llcdljdllllddll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 1, -4370, 4 in ascending order.\nAnswer: -4370, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 9*d**2 - 16*d + 15. Determine g(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 672 and 333088.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49.044793*-0.1.\nAnswer: -4.9044793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5637835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 5*q + 4. Let j be (8\/(-7))\/((-4)\/14). Let h be f(j). Suppose h*r - 5*r = -1655. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*v = 20*v - 260*v - 8328 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 305062 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 2, 4, -3, -11, -4 in descending order.\nAnswer: 4, 2, 1, -3, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - -0.4. Let v = -0.5 + p. Let b = 3498.3 - 3498. What is the third smallest value in b, -1\/2, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**4 + m**3 + 1. Let n(z) = 273*z**4 - 5*z**3 - 247. Let i(y) = 5*d(y) + n(y). Find the first derivative of i(g) wrt g.\nAnswer: 1112*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -504144\nAnswer: 302486.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 56 = 4*u, 28*u - 19 = -3*d + 35*u + 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 4 - (0 + 1). Suppose -3*j + 64 = t*q, 2*q + 0*q - 49 = -3*j. Solve -n + 5*s - j = n, 0 = -5*n - 4*s - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1964\/6)\/((-12)\/162*-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48927 divided by 347\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/934 and 83\/24474.\nAnswer: 11429358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*v - 99913, -48069 = -4*v + x + 31875. What are the prime factors of v?\nAnswer: 5, 7, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136356 minus -20?\nAnswer: -136336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.2, -3, 0.5, 41?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 520 - 520.0276. What is a rounded to three decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:35 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 7*k**2 - 6*k - 10. Suppose 5 = g + 1. Calculate the least common multiple of g and c(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -6.11. Suppose -10*i = -8*i - 12. Suppose -3*k + k + i = 0, m = -k + 7. What is the second smallest value in m, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 4*h**2 + 6*h**2. Let j(i) = -i**2 + 3*i**2 + 28 - 28. Calculate j(n(o)).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 7*t - 57 + 110 = 0, w + 5*t = 31 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/7)\/(1\/(56\/(-12))). Solve -5*r - w = -17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/(6\/4). Let b be 3*u\/(-3) + 11. Calculate the highest common factor of 90 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -5 (c) 1 (d) 79\/187 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 144*b**3 + 8*b**2. Let g(f) = 48*f**3 + 3*f**2. Calculate 8*g(y) - 3*i(y).\nAnswer: -48*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -26.1 times -0.055\nAnswer: 1.4355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3979.2*-394.\nAnswer: 1567804.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {b: 2, x: 1, e: 1, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26404.013609 - -26404. What is g rounded to four decimal places?\nAnswer: -0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -401*b**2. Let l(u) = -30*u**2. Give l(o(t)).\nAnswer: -4824030*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s + 15. Let c(i) = -4*i + 9. Let w be (25\/(-15))\/((-2)\/(-6)). Let h(b) = w*c(b) + 3*n(b). Let y(p) = -2*p**2 - 56. Calculate y(h(d)).\nAnswer: -2*d**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 - 75. What is the third derivative of 8*y - 81*y**3 + x*y**2 - 8*y + 17*y**2 wrt y?\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 705 (base 13) to base 4\nAnswer: 102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*x - 638 - 2 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33140, 33155, 33194, 33269, 33392, 33575, 33830?\nAnswer: 34169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.3. Let i be (-244)\/(-560) - (-2)\/(-5). Let y = i + 13\/28. Which is the biggest value? (a) y (b) p (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116 by 191.\nAnswer: 116\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 396*y**2 + 18270*y + 51192.\nAnswer: -2*(y - 237)*(y + 3)*(y + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-2)\/20)\/(2\/4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 188 and 0.4?\nAnswer: 75.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/1509620 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*j + 2*j + 29, -5*j - t + 121 = 0. Suppose -3*o + j = 2*u - 14, -u = 3. What is the second derivative of 17*d**5 + o*d**5 - 45*d**5 - 14*d wrt d?\nAnswer: -260*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 16 = -i, 5*i - 4*o = -3*o. Suppose -g - 2*g = 0. Let l = 9.8 - 9.7. Which is the closest to g? (a) -0.4 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 251, 248, 245?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 4:40 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 7568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/9)\/(76\/(-6))*3.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*k + 192, 2*k - 5*k - 3*d + 192 = 0. Suppose -2*z - 4*y + 0*y = 4, 0 = z - 2*y - 18. What is the highest common divisor of k and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*w + 6 = -0*n, -52 = -4*n + 2*w. Calculate the least common multiple of (n\/5)\/((-21)\/(-70)) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*p + 619 = -249. What is the nearest to p in -4, 3, 1, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 766 - 743. What is the remainder when 2711 is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4328, -1.8, -5 in descending order.\nAnswer: -1.8, -5, -4328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**6\/60 + 211*a**5\/60 + 47*a**3 + 320*a**2 + 1. What is the first derivative of h(r) wrt r?\nAnswer: -6*r**2 + 422*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfee when four letters picked without replacement from eeeeyyyef?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4354835059.\nAnswer: 89, 2551, 19181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-110)\/(-715) - 8*3568\/(-26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 13*p + 2. Suppose 8*w = 19*w - 11. Let t(s) = 4*s - 6*s - w - 2*s. Calculate 2*l(g) + 7*t(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 e, and 1 r when three letters picked without replacement from {r: 4, b: 5, q: 1, a: 3, n: 1, e: 6}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103.5 - 104. Let w = -43\/124 - -3\/31. Which is the third biggest value? (a) -1\/3 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128 - -126)\/(1\/((-18)\/(-4)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from vazky?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 10*x + 7. Let k be m(-6). Let l = -19 - k. What is the nearest to -2 in 0.4, l, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 220\/(-550)*3\/(18\/5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 587\/66 - 96\/11. Let p(h) be the second derivative of 0 + 0*h**2 - h**3 + l*h**4 + 3*h. Factor p(s).\nAnswer: 2*s*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 3. Let k = -2 + l. Let g = 11 - 11. Put g, k, -0.1 in increasing order.\nAnswer: k, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2785 + 2787. What is the nearest to 3 in -1\/3, -5, 5\/46, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/117 + 589\/234. Which is the nearest to -1\/3? (a) 0.1 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 713442?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j + 1. Let w(m) = -9*m + 99. Let l be w(11). Suppose 5*p - 18*h + 13*h - 30 = l, 4*p + 2*h = 6. Let f(n) = -15*n - 3. Calculate p*f(c) + 8*v(c).\nAnswer: -5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -311*u - 620. Let f be i(-2). Suppose -3*h + 5*h = 18. Solve f*p - h = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (60\/52 - 1) + 189\/39. Solve 2*s + 0*j = -2*j - 2, -u*j - 9 = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/((-34)\/(-6))*(131040\/448 + -293)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1842779, 4.\nAnswer: -1842779, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**2 - 15*k + 35. Let r(b) = b**2 + 2*b - 2. Let s be r(-4). Let c(o) = -11*o**2 + 30*o - 70. Let n(m) = s*c(m) + 13*v(m). Does 19 divide n(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -185 - -275. Suppose -5*x - 5*k = -f, -3*x - 4*k + 62 = 6. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.23942 nanograms in tonnes?\nAnswer: 0.00000000000000423942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-49))\/((-58)\/(-609)*12).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9392, 18836, 28294, 37772, 47276, 56812?\n\"Answer: x**3 + x**2 + 9434*x - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3742 + 8951. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + 4*z + 4, 107*z + 50 = -6*w + 112*z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 12*d**3 - 5*d**2. Let o(i) = i**3 - i**2. What is -6*o(s) + y(s)?\nAnswer: 6*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 0.01, -0.09, 4, -1\/2, 513, 5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 8e3?\nAnswer: 8e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2931794 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*h + 4*o = -68*h + 31, 0 = -4*o + 16. Solve -4*i - 19 = -h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.558 + -16.01. Let r = m - 3.3. Round r to 2 dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 11*u**2 - 122*u + 82. Let r be p(-18). Solve m - 17 = 3*b - 19, -b = -5*m - r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l + 36 = 6*l. Let f be 0\/(3*1\/l). Suppose -9*k + 110 = -4*k - 5*o, o + 2 = f. Calculate the remainder when 77 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0217311299 to 6 decimal places.\nAnswer: 0.021731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1678 times 125318\nAnswer: -210283604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2 + 14\/4. Does h = 12\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -9*k - 7. Let l(i) = 64*i + 190. Let p be l(-3). Put p, -4, k in decreasing order.\nAnswer: k, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -30.299148.\nAnswer: -181.794888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 754\/7 + -108. Let m(x) = x**2 - 3*x - 6. Let r be m(5). What is the nearest to 1 in r, j, -4\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.047 and 1969.\nAnswer: 1968.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*u - q, -3 = -4*u + 5*u + 5*q. Let p = 63 + u. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586835987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 5:42 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a20ae + 2?\nAnswer: a20b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/4))**(1\/64)\/(y**(-8)*y**(-4\/15)\/y) assuming y is positive.\nAnswer: y**(35659\/3840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiisooisvccoics. Give prob of picking 1 i and 2 o.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 + 2*t**2 - 2*t**2 + 3*t + (-1 - 2 + 0)*(-t**5 + 7*t**4 - 7*t**4).\nAnswer: 2*t**5 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -327408 by 12.\nAnswer: -27284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**27*b*(b*b**(6\/7))\/b assuming b is positive.\nAnswer: b**(202\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 3, 164 in ascending order.\nAnswer: -6, -1, 3, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162 - -165)*4\/104*9\/((-135)\/10).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13064*d**2 + 2*d - 68*d**3 - 6414*d**2 - 6646*d**2.\nAnswer: -68*d**3 + 4*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(240)\/sqrt(5) + sqrt(3) - sqrt(3))**2 - (-4 + sqrt(18)\/(sqrt(42)\/sqrt(7)))) + 3.\nAnswer: -233 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207 = 2*u + 5*s + 167, -20 = -u - 3*u + 5*s for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 558, 738, 546, -18?\n\"Answer: -186*y**2 + 738*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + g + g = -32, 5*g = 2*w - 36. Solve 0 = -4*y + 5*h + 2 - 0, -4*h = -w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/682134*(-6)\/70*-5. Let k = l - 6762108103\/28649628. Let y = k - -236. Is y at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*r - 1870 + 836 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2\/5 + 11455838*d\/5 - 11455839\/5 = 0.\nAnswer: -11455839, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 9*p**2 + p)*(8 - 1 + 1) as d*p**2 + h + w*p and give d.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + (-4 + (sqrt(1900) - (sqrt(1900) + 1 + sqrt(1900) + 5)) + 2 + 1)**2).\nAnswer: 560*sqrt(19) + 7776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115*o - 806 + 46 - 735 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)\/(b\/b**0))\/(b**(2\/3)*b*(b\/((b*b\/(b**(-3)\/b))\/b))\/b)*((b\/b**(-1\/15))\/b**(-7))**(-1\/31) assuming b is positive.\nAnswer: b**(-431\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 5*x**2 + 5. Let a be n(5). Let k(b) = -b**2 + 4*b + 7. Let s be k(a). Solve 4*t + s - 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -17*o**2 + 75*o. Give j(5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/21 (b) -62 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 9*u + 10*u + 6, -24 = 4*a + 4*u. Solve a = -39*y + 23 + 55 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 4*i**2 + 13*i - 12. Let k be v(6). What are the prime factors of 882\/(-105)*700\/k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c + 2*c + 10 - 12)*(3*c**2 - 13*c**2 + 29*c**2).\nAnswer: 190*c**3 - 38*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1482, -1263, -1046, -831, -618, -407, -198?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57 and -0.6.\nAnswer: 34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 20. Let r(v) = -v**2 - 7*v + 4. Let a be r(-7). Suppose -a*k + 20 = -4. What is the highest common divisor of k and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8 + c - 4 - c - 4*c. Suppose 9*y - 2*y + 49 = 0. Is 4 a factor of p(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 0 - y - 2*y**2 - 1\/8*y**4 - 1\/3*y**3. Let j(b) be the first derivative of p(b). Differentiate j(o) wrt o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14799861*m + 25652 = -14799619*m for m.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6630733 + 12?\nAnswer: -6630721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**4\/7 + 4*y**3\/7 + 4*y**2\/7 - 118. Let v(u) = 0. What is u?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 34 - 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158408084?\nAnswer: 2, 23, 1721827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 minutes after 7:05 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 4*q**2 + 3*q - 5. Suppose 0 = -35*r + 120 + 55. What is v(r)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 2*u - 10*u**4 + 6 - u**2 + 8*u**4 as q + a*u**2 + m*u**3 + p*u**4 + k*u and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 23*i + 2*i - 26*i + 8*i. Let k(z) = -14*z**2 - 11. Let r(u) = -5*u**2 - 4. Let h(j) = -4*k(j) + 11*r(j). What is h(l(f))?\nAnswer: 49*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 252930?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 65. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 9 - r**2 + 0 - 1 - r. Let y be 6*4\/72*0. What is w(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 4:04 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 22 = 4*y, -5*y - 3*k = -5*k - 19. What is the second derivative of -9*w**2 + 3*w**5 - y*w + 9*w**2 wrt w?\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 59*s**2 + 370*s + 300. Give c(-52).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/78 and -85\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.4 + 20. Let o = 4.6 - u. Which is the smallest value? (a) -0.2 (b) 1\/18 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k = -3*y + 5449, 2728 = k + 5*y. Let g(z) = 60*z - 243. Let d be g(4). Is (-2 + d - -6)\/(1\/k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114202240 + -1?\nAnswer: 114202234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5 = -4*s + 25, 5*n + 4*s - 25 = 0. Suppose 3*p - 143 = -65. Put 0, 2, p, n in decreasing order.\nAnswer: p, n, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.6126+3\nAnswer: -21.6126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - 1*(sqrt(275) - (sqrt(275) + -1*sqrt(275))))\/sqrt(11))\/(2*2*2*sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 712, 731, 750, 769?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a week in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29964157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/374 and 13\/1221671?\nAnswer: 2443342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32.9 - -2387736.59176.\nAnswer: 2387703.69176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**2 + 4*q**2 + 2*q**2)*(-79*q + 2 + 166*q - 57*q) in the form k + j*q**2 + a*q**3 + g*q and give a.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -55, -227, -513, -913, -1427?\n\"Answer: -57*b**2 - b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14956 + w**3 + 16*w**2 - 3*w**2 + 3841 + 5*w**2.\nAnswer: w**3 + 18*w**2 - 11115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k - 15 = 3*s, 0 = 4*k + 12. Let u = 21288\/29 + -734. Let t = u + -33\/58. Is t at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.88 - -0.12. Let p = -8.2 - -23.5. Let r = -15 + p. What is the third biggest value in r, 0.4, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 4*r**2 + r + 4. Calculate m(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -5*d - 15 + 4, 0 = 3*d + 5*f - 23 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 148?\nAnswer: 148.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 758356863 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 23*b**3 - 2*b**2 + b + 1. Let m be k(1). Suppose m*h = 21*h + 8. Let o(n) = -n**2 - n + 1. Let d(j) = 3*j**2 + 5*j - 4. What is h*o(v) + d(v)?\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -5. Let h(i) = 2 + 9*i**2 - s - i - i. Let w(v) = -10*v**2 + 2*v + 5. Let n(b) = -5*h(b) - 4*w(b). Factor n(c).\nAnswer: -c*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -206072.8036 and -38?\nAnswer: 206034.8036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14653830 and 7080.\nAnswer: 58615320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**5\/20 + 2*d**4\/3 + 5*d**3\/3 + 2*d**2 + d. Let p = 348 - 339. List the prime factors of z(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18197*g - 18189*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -921 + 920.9784. Is -2 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.98 + 1.98. Which is the second biggest value? (a) -2\/9 (b) 30 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = o - 5*a - 8, -4*a - 68 = -5*o. Suppose -3*p - t = 3*t - o, 0 = p + 2*t - 6. Let c = p + 0. Solve 0 = -3*l + 3 - c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/13 + (-5879720)\/(-1001) + 5.\nAnswer: 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 15*v**2 + 14*v + 33. Let r be q(16). Let a + 21\/4*a**3 - 29\/4*a**2 + r = 0. Calculate a.\nAnswer: -2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 7, e: 6, q: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-1)*1*9\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 468, 926, 1384, 1842, 2300?\nAnswer: 2758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 477\/4 + -5 + (-190)\/(-40). Let s = h + -50. Calculate the remainder when s is divided by 47.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v. Let n(y) be the third derivative of y**5\/30 + 5*y**2. Determine m(n(d)).\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 + 33 - -6 - (-150)\/(-5)) + 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 13*n - 29. Calculate b(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-10)*565\/1356.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaaeaeaeae. Give prob of picking 4 e.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/40*(15\/6)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/11696 and 49\/6192.\nAnswer: 105264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34242 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1715*n**4 + 11262160*n**3 + 9652440*n**2 + 2757760*n + 262640.\nAnswer: 5*(n + 6566)*(7*n + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i - 2*i + i)*(-i - 3 + 3) + (-5*i + 5*i - i)*(5*i - 3*i + 0*i) + 0 + i**2 + 0)*(2*i**2 - 3*i**2 - 3*i**2)*(31*i - 49*i - 159*i).\nAnswer: 1416*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -10*b**3 + b**2 + b. Let y be x(-1). Solve -4*v - 5*d - 27 = -y, 5*v + 3*d = -18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5954566097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + x + 1. Let v(i) = 12. Let j(n) = 2*n + 11. Let k(g) = -4*j(g) + 3*v(g). Determine -8*b(o) - k(o).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3619 and 520149.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23200021 (base 4) to base 12\nAnswer: -23321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 times 12?\nAnswer: -1572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - -51. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 76398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 10.3. Let g = v + -4. Which is the third smallest value? (a) g (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187 and 436821.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/837 and 41\/95232.\nAnswer: 857088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28382801*q**2 - 28382809*q**2 - 28382778*q**2 + 85148388*q**2 + 2*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*i + 4. Let q = i - 4. Does 17 divide 41\/((q\/(-3))\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 112*n**3*o**3*r**2 - 4*n**3*o**2*r**3 + 107*n**2*o**3*r + 5*n**2*o*r**3 - 2*n**2 + 2*n*o**3 + 2*o**2*r**3 wrt n.\nAnswer: 672*o**3*r**2 - 24*o**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + z - 200 = -m, 4*m - 268 = -z. Solve 0 = 5*i - 73 + m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -294, -767, -1564, -2691, -4154, -5959, -8112?\n\"Answer: -x**3 - 156*x**2 + 2*x - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2 + 1)*4)\/(32\/1456). Let y = 443 - g. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(17) + 2 + sqrt(17) + 4 - sqrt(34)\/(-2*sqrt(2)).\nAnswer: 6 + 7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 24 = -3*p. Suppose -m - 3*m + p = 0. Suppose -n - 4*c = -c - 12, 0 = m*n - 4*c - 49. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134 - 129. Suppose 7 = l*m - 18. Suppose 3 = -0*z + z. Solve -m*g + 30 = -w, -w - z*w = 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1076989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (-1 + -1 + 1*sqrt(468) - (4 + (sqrt(468) - (sqrt(468) - (-2 + -2*sqrt(468))) - sqrt(468)))**2))*2.\nAnswer: -156*sqrt(13) + 8430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 6:10 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 156386189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 14*k**2 + 13*k. Suppose 7*a - 8*a = 13. Let z be j(a). Let g(u) = u**3 + 2. Let n be g(z). Solve -n*q - 10 = -0*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**6\/120 + v**5\/15 - v**4\/8 - v**3\/2 - 15*v**2. Calculate f(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = m + 3*u + 3, -u + 3 = 0. Does 6 divide ((-6)\/(-3) - m)*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(1\/7)\/b))**(-13) assuming b is positive.\nAnswer: b**(-169\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/33, 3, 0.\nAnswer: -2\/33, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-1)\/((-2)\/(-2)). Let v(w) = -1 - 3 + 5*w**3 + w**2 + i*w - 4*w**3 + 0*w**3. Is 13 a factor of v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*p**2 - 6*p**2 - 5*p**6 - 3*p**2 wrt p?\nAnswer: -600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 25*i + 65. Let p(d) = 33*d + 63. What is 4*l(u) - 3*p(u)?\nAnswer: u + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.9 and -0.1.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31720 and 56.\nAnswer: 222040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -410 and -409 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1017, -1024, -1041, -1074, -1129?\n\"Answer: -p**3 + p**2 - 3*p - 1014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33976783*g - 121575338 wrt g.\nAnswer: 33976783","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**2\/2 + a + 286. Let u(y) = 9*y - 7. Calculate -5*b(n) - u(n).\nAnswer: -4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q - 2. Calculate w(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 92041, 92032, 92019, 92002, 91981, 91956, 91927?\n\"Answer: -2*p**2 - 3*p + 92046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q**3 - 2*q**2 - 14*q + 9. Let g(f) = -6*f**3 - 3*f**2 - 13*f + 9. Let s(b) = 5*d(b) - 6*g(b). Determine s(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -564 divided by 3\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of (-43 - -25)\/(2 - (-605)\/(-300))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62331048?\nAnswer: 2, 3, 13, 66593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 > 404\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54137 - -123198. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3156 + -2576. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1721248, 1721224, 1721166, 1721056, 1720876?\n\"Answer: -3*g**3 + g**2 - 6*g + 1721256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2 - 12. Are v and 13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -5 (b) -2 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-73*s - 56*s + 280*s)*(5 - 3 + 3)*(-4*s + 4*s + 4*s) in the form r + d*s + c*s**2 and give c.\nAnswer: 3020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4200000*t. Let b be k(3). Round b to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.181 - 0.381. Which is the nearest to 1? (a) x (b) -1\/9 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - k + 12. Let u be a(0). Suppose h + 4*r = -0*r - u, -4*r - 12 = -5*h. Solve 4*g + 2*y + 3 = -3, h = -2*g + 2*y - 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 11*v**2 - 8*v + 48. Let x be n(-12). Which is the closest to x? (a) 4 (b) -41\/2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.127102 - -0.127. What is x rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -8. Suppose -5*c - 463 + 1701 = -l, -l - 990 = -4*c. Let k = 252 - c. Solve 4*f + n = -k*n + 35, 5*n + h = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -4\/5, 21753931?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -18*p**3 - 2*p**2 + 2*p - 3. Let v(k) = 71*k**3 + 9*k**2 - 9*k + 13. Let q(s) = 2*s - 8. Let j be q(5). Let d(f) = j*v(f) + 9*m(f). Calculate d(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**5\/10 + x**4\/12 + 2*x**3\/3 - 4*x**2 - 42*x. Let a = 1 - -2. Is c(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129612 != 2129605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2. Suppose 0 = f + 3*c - 10, 3*f + 4*c - 20 = -0. Let w(g) be the second derivative of 0*g**2 - f*g + 0*g**3 - 2\/3*g**4 + 0. Calculate w(l(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -31. Is 6 a factor of ((-6)\/9*q)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5573 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*u**3 + 100*u**3 - 1263*u**3 - 454*u**3.\nAnswer: -1784*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 4*m**2 - 2*m - 4. Let w be -2 - 6*(-3)\/(-6). Let s be g(w). Let f = s + 77. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-1 - -3) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3749 + 3840. What is the fourth biggest value in v, -3, 3\/4, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*sqrt(112) + ((3 + 1 + sqrt(7))**2 - 2*sqrt(343)) + 2*(sqrt(35) - (-2*sqrt(315))\/sqrt(9))\/sqrt(5) + 5.\nAnswer: -8*sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4644165 or -13932491\/3?\nAnswer: -4644165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6778, 5962, 5168, 4408, 3694, 3038?\nAnswer: 2452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -18.9, 0.2, -3, -0.4 in ascending order.\nAnswer: -18.9, -3, -0.4, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00078121 to 6 decimal places.\nAnswer: 0.000781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 k when three letters picked without replacement from {g: 5, k: 8}.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*w - 2*w. What is the second derivative of -4 + 8*z**w - 652*z - 1 + 657*z wrt z?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 10*a**2 - 10*a - 3. What is q(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/15, 3180 in descending order.\nAnswer: 3180, 2\/15, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 6*r**3 - 5*r)*(5 - 2 - 1) + (-1 + 1 - r)*(-4 + 4 - 5*r**2).\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 196.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjfj when four letters picked without replacement from {f: 5, j: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6235 and 13278?\nAnswer: 82788330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 2646630?\nAnswer: 2646627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-29754)\/(-285))\/(2\/15) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10 = 4*o, 4*z - 8 = 6*o - o. Let h be (2 - 1)\/(z\/(-6) - 0). Is (-1973)\/(-9) - (h - 116\/(-36)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-6) + -4*(1 + 40\/(-32))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -13. Let l = -6 - -6.03. Let n = -1.97 - l. Which is the nearest to n? (a) y (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 17*b + 50. Let p be q(19). Calculate the greatest common factor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -103, 0, -2 in descending order.\nAnswer: 0, -2, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6033 take away -4434?\nAnswer: 4433.3967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 + 10*z + 2. Let w be g(5). Let x = 0.16 - -3.84. Let o = -0.2 - 0.3. Which is the closest to w? (a) o (b) -0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2849\/77 + 45 + -60?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14815 is divided by 14632.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*g - 17876 + 5762 = 0 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1201, -5, 2, 1 in ascending order.\nAnswer: -5, -3, 1, 2, 1201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 12:44 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 105*s**2 - 32*s - 2. Let k(z) = -5796*z + 1 + z**2 + 5796*z. Let l(d) = 3*k(d) + v(d). Find the second derivative of l(r) wrt r.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -4. Suppose -3*t - n = -3 - 6, -k*n = -12. Suppose -t*m + 6 = 3*p, -5*m = -4*p + 16 + 15. Solve p*r + 8 = -0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 4:09 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7480 or 7497?\nAnswer: 7480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*s**2 + 9504*s**3 + 0*s + 16 - 2*s - 16 - 9506*s**3 as z*s + g + b*s**3 + v*s**2 and give v.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41547*-28.\nAnswer: 1163316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.57 + -3.57. Which is the third biggest value? (a) 0.5 (b) -24 (c) 1\/4 (d) q (e) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2915 - 1499. Calculate the highest common divisor of 24 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21545 and 10385.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**3)\/(m\/(m\/(m\/m**5))))\/(m**(-2\/5)*m**(-1\/6)*m)*(m*m**(-2\/3)*(m\/m**(1\/3))\/m)**(2\/3) assuming m is positive.\nAnswer: m**(227\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 45\/4 + (-9)\/(-12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719175173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-8 + -2)) + 1 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * 48.\nAnswer: -76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + -87 + -57 + 135?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a centimeter in millimeters?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 8 + 5 + (-5 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 453264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, -3, -24, -59, -114, -195, -308?\n\"Answer: -m**3 + 2*m**2 - 12*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14438 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 20*b**2 - 685*b + 32. Determine i(38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124101357?\nAnswer: 3, 1867, 22157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**7\/420 - p**6\/120 - p**3 - 5. Let x(d) be the third derivative of s(d). Find the third derivative of x(t) wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 180 - 25*j**2 + 71 - 273 + 44 as z*j**2 + x + p*j and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 391735133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 9\/1453 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3531183 divided by 431\nAnswer: 8193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**5\/5 - 4*t**4\/5 - 536*t**3\/5 - 2416*t**2\/5 - 736*t - 1792\/5 = 0.\nAnswer: -8, -2, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2576308 to the power of 1\/2, to the nearest integer?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 426661.7 nanoseconds?\nAnswer: 0.0004266617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28021 (base 14) in base 5?\nAnswer: 11130223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/12*16\/6. Suppose -k = -r - 2. What is the remainder when 7 - 2*(-6)\/r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Let o = 7 + k. Let v = o - 4. Solve -5*m = -3*q - v, 2*q = -1 - 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 5) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/4)\/((-27465)\/(-14648)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16.633125us?\nAnswer: 0.00000027721875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a**2\/5 + 140748*a - 938304\/5 = 0.\nAnswer: 4\/3, 78192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -109*j**2 + j - 27. Let v(b) = 108*b**2 - 2*b + 31. Let s(k) = -3*l(k) - 2*v(k). What is the second derivative of s(a) wrt a?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 2*g - 4. Suppose -5903 + 5933 = 10*m. Let i(x) = -1. What is m*i(z) - u(z)?\nAnswer: 2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 68*y + 67*y = 27370, 4*x = 6*y + 36470. What are the prime factors of x?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.1 + 21.1. Let n = 0.3 + -0.3. Let m = 0.1 - n. What is the closest to m in o, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20172 - 14785. What is the remainder when b is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/(6\/(-64)*-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12424?\nAnswer: 2, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 2890*p - 2890*p - 31 to j*p**2 + i*p + d and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650*h - 1556*h + 673*h + 716*h - 3 + 193*h + 2.\nAnswer: 676*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200700 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1. Let h = 20 + -19. Let g = -0.9 - -1. Which is the second biggest value? (a) g (b) z (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2 - ((-380)\/(-128) + -1))*1630\/(-105) and 41\/52?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62044?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2. Let l(p) = -545*p + 288. Let n(g) = 1634*g - 960. Let d(t) = 20*l(t) + 6*n(t). Give b(d(r)).\nAnswer: 2402432*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -1133110030033?\nAnswer: 1133110030110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3031495 greater than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 29. Let j = c + 2. Solve -3*d = -j*d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201000 - 312?\nAnswer: 200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -305, -1\/8, -19, 1, 0.1.\nAnswer: -305, -19, -3\/4, -1\/8, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1457 + -1351. What is the remainder when 1160 is divided by v?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 125790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2556 by 6.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 3 - (0 + 3 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 159 - 140.7. Round h to zero decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -82582, -82506, -82432, -82360?\n\"Answer: -y**2 + 79*y - 82660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 1 = 4. Let w = 3 - c. Let h(p) = -5*p + 0*p + 0*p - w*p. Let l(u) = -2*u**2. Give l(h(x)).\nAnswer: -162*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 26*k**4\/3 - 2*k. Let j(h) = -h + 137 - 424 + 135 + 152. What is a(j(y))?\nAnswer: 104*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/14)\/((-648)\/(-756)). Sort l, 1\/109, 3.\nAnswer: l, 1\/109, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55569 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -26*s**3 + 16*s + 37. Let g be t(-2). Is g smaller than 210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 72416 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498 + 9576 = -613*i - 1573 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1890?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (46 - 46 - 9*d**2)*(6 - 3 - 5) + 17*d**2 - 5*d**2 - 3*d**2 + 3*d in the form t + b*d + f*d**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -233 - -236. Let w be 10 - (u + -2) - (-57)\/19. Sort -1, w, -4 in decreasing order.\nAnswer: w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 898, 1 in decreasing order.\nAnswer: 898, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 374*p - 351*p - 28 - 49.\nAnswer: 23*p - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 104*u - 783 = 0. What is the remainder when 145 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(425) + 1 + 1) - (-5 + sqrt(425)*-1*-3))**2*5.\nAnswer: 650*sqrt(17) + 2970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -452, -439, -412, -365, -292, -187, -44?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 4) in base 5?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 11817938734464\nAnswer: 11817938734444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 29952.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - p)*(6 + 254 - 13).\nAnswer: -247*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*x + 19565 = 0, 69*m = 64*m + 2*x + 19558. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08182 + -0.19182. Which is the biggest value? (a) 5 (b) f (c) 1\/8 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1146 = -26*s - 132. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 5, 1, -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 8*v**2 + 7*v + 13. Let x(d) = -7*d**2 - 6*d - 11. Let a(t) = -6*g(t) - 7*x(t). Calculate a(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 157.3 - 157. Let w be (-2)\/(-12) + (-7)\/(-21). Sort w, r, 3 in ascending order.\nAnswer: r, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216307 is divided by 1236.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2847*y**2 - 208*y - 1. Is t(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 = -81. Let a = -52 + o. Let m = 5 - a. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1750*h*z**2 - 407*h*z - 2*z**2 + 7*z - 336174 wrt h?\nAnswer: -1750*z**2 - 407*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 68*-0.002\nAnswer: -0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3456 + 1061 = -98*t + 2603 for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**5\/60 - q**3\/6 - q**2 - 95. Let w(x) = -3*x - 2. What is -2*l(p) + w(p)?\nAnswer: 2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*8\/(-180) + (-4712)\/(-15). Suppose z + 837 = b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -486*b + 91*b + 4*b**2 + 2*b**3 + 6*b - 2*b**3 + 3*b**4 to the form s + l*b**2 + w*b + c*b**4 + h*b**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 134, 212, 310, 434, 590, 784, 1022?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*c + 10 = 0, -z + 2*z + 5*c - 3 = 0. Let d(y) be the first derivative of 2*y**3\/3 + y + 16. List the prime factors of d(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/56*(-8)\/14*(-21112)\/208.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -79 (b) -5 (c) -2\/7 (d) 3 (e) 0.09353 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 9017, 1\/4, -1\/4, -0.4?\nAnswer: 9017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -4698.\nAnswer: 4699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 78 = 3*z, -4*u + 10 = -2*u. Suppose -5*x = 3*n + 242 - 732, 0 = 5*x - 2*n - 490. Let k = x + z. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -62. Suppose -4*w - h*u + 312 = 0, 2*u + 229 = 3*w + 6*u. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjrxmyxi. What is prob of sequence mx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*3784\/(3612\/(-42))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.002 or -376904?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46.3 - -46. Sort -8, w, 1\/11 in descending order.\nAnswer: 1\/11, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3096 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - 2070\/(-80))*8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11*(-3)\/(-24) - 1. Are -1 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -98555, -196477, -294399, -392321, -490243?\n\"Answer: -97922*y - 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 14*i**2 + 15*i**3 - 16*i**3 - 5*i**2)*(0 + 0 - 2*i**2).\nAnswer: 2*i**5 - 18*i**4 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.89 to 2 decimal places.\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 35 - (3 + (-4 - 2))) + -53?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -3.6. Let v be ((3 - 322\/98) + (-17 - -19))*(-6)\/(-8). Which is the biggest value? (a) 2 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48393787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 252*y + 1. Is g(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -828745.3 to the nearest 10000.\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**6\/10 + 12*y**5\/5 + 29*y**4\/4 + 7*y**3 + 21*y. Factor m(j).\nAnswer: 3*j*(j + 1)**2*(j + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 32 = 4*j, -2*j + 0*j = -5*w - 19 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -73?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/13 - (-3 + 4). Which is the second biggest value? (a) u (b) 0.5 (c) -4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 5*g + 5. Suppose 0*a = -4*a - 16. Let d be q(a). Let s(z) = 56*z - 1. Is s(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v - 2. Suppose 5 = w + 10. Let m(x) = -3*x - 4. Let l(p) = w*y(p) + 2*m(p). What is the derivative of l(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5707416 and 2496?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 407110 = 2*q, 10*z = 6*z + 16. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1103.9998943 + 1104. What is j rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.046 - -0.046. Let k(j) = j**2 - 24*j + 46. Let t be k(22). What is the second smallest value in 5, g, t, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:03 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4620*i + 31. Let a(v) = 4618*v - 39. Give -4*a(p) - 5*x(p).\nAnswer: 4628*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-126)\/63*(-5)\/(-40)*52\/2\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2868\/35 - 753\/10. Calculate the common denominator of z and (-5)\/20 - (-27)\/(-16).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99504 (base 13) to base 16.\nAnswer: -43ca7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1341, 2681, 4021, 5361, 6701?\nAnswer: 8041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + -1 - (24 - (10 - -15 - 5)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -62. Suppose 2*p + x - 5*x = -306, 5*p + 813 = -2*x. Is (-2)\/7 + p\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {v: 1, z: 5, h: 1, n: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 2*f - 47, 39*f + 28 = 40*f - 3*m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1685303855 to the power of 1\/2, to the nearest integer?\nAnswer: 41052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13339 and 2.\nAnswer: -0.26678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375 divided by 25.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138*o**3 + 363*o**3 + 141*o**3)*(-2 + 2 - 2*o**2).\nAnswer: -732*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -458, -1848, -4198, -7514, -11802?\nAnswer: -17068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -96707*t - 1257194. Determine k(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4772195002?\nAnswer: 2, 19, 641, 195919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1416 + 1400 - 3809 + 1339)*(1 + 1 + 0)*(-5 - c + 5).\nAnswer: -692*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16300 (base 12) in base 15?\nAnswer: -9526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - -1*42\/(-22). Let s(f) = -f**2 - 73*f + 3635. Let g be s(-107). Which is the nearest to 0? (a) -0.4 (b) g (c) m (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 11 = -5*y, -2*j + y - 10 = -y. Suppose 3*q + 3*r = 4 + 2, 3*q = -4*r + 9. Let i be q + (-1 - 15\/j). Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74708397 divided by -1?\nAnswer: 74708397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -6 + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v. Let f be a(-1). Let i be ((-85)\/51)\/(1\/(-3)). Let j = i + -5. Solve -3*y - 2 = -4*m, -m + j*m - 3*y = -f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 697, 2023, 4613, 8887, 15265?\nAnswer: 24167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 11) in base 12?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 192*n - 62*n**3 - 1308*n + 2 + 63*n**3 as f + d*n**2 + r*n**3 + c*n and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*n + 130*n - 13*n**3 - 3*n**2 - 61*n + 9*n**3 - 6*n**4 + 17*n**4 to the form f*n**2 + w*n + s*n**3 + t*n**4 + a and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 11:02 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*j - 5. Let c = 0 + j. Suppose 3*a = 4*p + 164, 4*a - 212 = -0*a + c*p. What is the greatest common divisor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 462858 and 42078?\nAnswer: 462858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(-3*sqrt(160)) - 2*(sqrt(2) + (sqrt(98) + 0)**2).\nAnswer: -196 - 25*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1244079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*l - 19*l = -10 + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a - 3\/4*a**2 + 1 - 1\/4*a**4 - a**3.\nAnswer: -(a - 1)*(a + 1)*(a + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -289.546 + 285.546. Let u = 3.01 + -0.01. What is the closest to 19 in w, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 20 = 3*m. Let a = m + 13. Suppose -5*v = -a*n + 35, 2*n - 10 = v - 1. Calculate the least common multiple of 22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 4*a - 7. Let x be m(-6). Suppose 2*y + p + 182 = 3*y, -x = -5*p. Let g be ((-305)\/y)\/((-2794)\/(-2796) + -1). Round g to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230692010.\nAnswer: 2, 5, 23069201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -864\/53 or -15?\nAnswer: -864\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3545 + 28267\/8. Let b be (10\/6 - 1)*-3981. Let l = b - -29171\/11. Calculate the common denominator of o and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196825 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 5. Let y(z) = -z**3 - 6*z**2 - 6*z - 5. Let m be y(-5). Let c be i(m). Suppose -c - 25 = -5*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 12:17 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31349.1 + 31349. What is the nearest to c in -2, -2\/69, 234?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -2*sqrt(50))*-3.\nAnswer: 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 4120?\nAnswer: 37080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64.692917 + 0.867477. Let h = -24.8257 - z. Let p = -39 + h. Round p to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -17375 (c) -1 (d) 1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 4*v - 623. Let p(l) = -215*l + 2. What is p(w(y))?\nAnswer: -430*y**2 + 860*y + 133947","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3192 and 1938?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30110310 (base 4) to base 9.\nAnswer: -76223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*x**3 + 7*x**2 + 12*x**2 + 3*x**2 + 27*x**2 + 2*x**2 - 2.\nAnswer: 113*x**3 + 51*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-90))\/(10\/75).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(975)*6)\/(sqrt(24)\/sqrt(8)*6 + (sqrt(3) - (sqrt(18)\/sqrt(6) + sqrt(3))*-4)).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-150)\/(-20))\/(6*3\/24). Suppose 3*f = -2*c - 1, 4 = -0*c - 2*c. Solve -z = 3*u - f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-30)\/(-72))*(-4)\/(-10)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1164? (a) -0.2772 (b) -2\/13 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, v: 1}. What is prob of picking 1 h and 1 v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67.58 + -71.58. Which is the biggest value? (a) -0.4 (b) -2\/9 (c) 5 (d) f (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5486524.\nAnswer: 2, 269, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 6*l**2 + 7*l + 2. Let r be h(5). Let v be r\/140*2\/(-3). Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -7, 1, 13, 29, 49, 73?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -517859 divided by 4751.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6021, -55607, -190223, -452385, -884609?\nAnswer: -1529411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215*f**2 + 681*f**2 - 256*f**2 - 2*f**4 + f**3 - 30 - 211*f**2 - 8*f to k + u*f + s*f**4 + w*f**2 + n*f**3 and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4994*o**2 + 3 + 17*o**3 + 8*o - 4991*o**2 - 24*o**3 in the form a + m*o**3 + d*o**2 + s*o and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-6 - (-5 + 4 + -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2025 (b) 0 (c) 1 (d) 0.2 (e) -45\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 7. Suppose 0 = -4*q + 46 + 30. Let a = q - d. Solve l + 3*l - 3*w = a, -3*l - 3*w - 15 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 21. Suppose 9*k - k - 48 = l. What is the tens digit of (-1056)\/(-11)*8\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-24)*1 - (0 - (-102)\/(-8)). Suppose -3*o - 3*i = -i - 11, 0 = -2*o + 4*i + 18. Solve -7 = o*h + l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/5 + (-608)\/(-20). Let l(p) = 5*p**2 - 2. Let b(t) = 36*t**2 - 15. Let i(c) = f*l(c) - 4*b(c). Let w(a) = 2*a. Give i(w(n)).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5659 rounded to the nearest one hundred?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*-2*-5 + (sqrt(187)*-1*-1 - sqrt(187)))\/(5*-2*2*sqrt(396)).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5981, -5980, -5979, -5978?\n\"Answer: r - 5982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010 (base 2) to base 11.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g - 14 = 0. Let q be ((-2)\/(-6))\/(9\/(-81)). Let f = q - -6. Calculate the least common multiple of g and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, z: 6}. Give prob of picking 1 z and 1 w.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2244 - -17983\/8. Which is bigger: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 552330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 12163.\nAnswer: 7\/12163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 104*x - 7*x**2 + 4*x**2 + 7*x**3 + x**2 - 106*x as o*x**2 + u*x**3 + q*x + t and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -443, -1087, -1989, -3149, -4567?\nAnswer: -6243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*((sqrt(612) + sqrt(612) + (-2 + sqrt(612))*1)**2 + (sqrt(612) - (-5 + sqrt(612) + 0))**2)*-6.\nAnswer: -132888 + 1728*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-300)\/25*6\/81?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 4:12 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 790823 or 790812?\nAnswer: 790812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 2*h**2 + 2*h**2)*(29*h**3 + 82*h - 82*h + (6 - 3 + 2)*(0*h**3 - 2*h**3 + h**3)).\nAnswer: 48*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n + 43 + 0*n + 0. Let f be v(0). Let h = -39 + f. Solve -5 = 2*w - q + 7, -2*w + h*q - 18 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2 - 2. Give b(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -280 - -280. Solve 5*x + 4*z - 4 = -13, u = 2*x - 2*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b**2. Let o(s) = 840*s - 66*s - 313*s. Calculate m(o(v)).\nAnswer: 1912689*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 - 4*o - 191. What is the remainder when x(-14) is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 16 = 5*c + f, -5*c + 27 = -4*f. Suppose 0 = 3*u + 5*y + 31, 2*u + 2*u + 45 = -3*y. What is the smallest common multiple of (-30)\/u*16\/10 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*w + 11562 + 19304, -10297 = -w + j. What is the greatest common factor of w and 248?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2*y + 14, 2*l = -2*l - 5*y + 41 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2 + 2 + (4*l - 5*l + 2*l)*(-2 - 2 + 6) + 4 - 4 + l)*(-1 + 1 - 2).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*52)\/1 + -3*1. Let l = 91 + k. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0 - 10 = 0. Suppose 0 = 4*y + 2*k + k + 32, -3*y - 35 = b*k. Sort y, 4, -1, 12.\nAnswer: y, -1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 37*t**2 + 38*t - 36. List the prime factors of m(-12).\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 147*b + 23076710 - 23071712 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/1635 and 71\/24.\nAnswer: 13080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 17 + 5 = o - 10, 163 = 4*o - w for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 697.133ml to litres.\nAnswer: 0.697133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 0 + 0*r**4 + 0*r - 1\/30*r**5 - 1\/6*r**3 + 4*r**2. Differentiate s(x) wrt x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/100)\/(2\/(-5)). Is u greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*j - 3*j. Suppose 10*n = -3*l + 14*n - 5, l - 2*n + 3 = 0. Solve -j = 2*p + l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 16*c**2. Let t = -91 + 138. What is the remainder when t is divided by x(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4))\/((-36)\/240).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2777783390.\nAnswer: 2, 5, 277778339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313608024?\nAnswer: 2, 3, 353, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*u + 880 - 370 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*n**3 - 562*n**2 + 22549*n.\nAnswer: 54*n - 1124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 132, -12, -26 in ascending order.\nAnswer: -26, -12, -1, 3, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43257 is divided by 460.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(((35\/(-5))\/(-14))\/(-1)). Let s(r) = 1. Let d(i) = -15*i - 4. Let x(h) = 3*d(h) + 6*s(h). What are the prime factors of x(m)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j + 5. Let t be (6\/(-4))\/(6\/40). Let d be (t\/(-6))\/((-1)\/3). Suppose 3*f = 3*k + 15, 2*f - k - 8 = -2*f. Let a(h) = h + 1. What is d*a(l) + f*m(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, 1868, -2, -15, -5, 0 in decreasing order.\nAnswer: 1868, 3, 0, -2, -5, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrrrrwwrrwkrwwry. Give prob of picking 2 w and 2 r.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide (-7)\/70*4 - 29360\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 11:53 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2057) + sqrt(17) + sqrt(153) + 3.\nAnswer: 2 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2340936 and 199836.\nAnswer: 16386552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 327\/5. Let z be (2\/(-6))\/((-3)\/36). Which is the third smallest value? (a) y (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 - 2*l**2 + 2*l - 1. What is k(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-144)\/7*490\/(-105) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 22, -1\/27, 2, 0.35?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -41*p**4 - p**2 + 28*p - 6. Let i(t) = -40*t**4 - t**2 + 27*t - 5. Let k(z) = -6*i(z) + 5*l(z). What is the second derivative of k(n) wrt n?\nAnswer: 420*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 4*o - 345. Suppose o = -8*n + 12*n. What is the units digit of 3 - (-1*n + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(216))\/sqrt(9))\/sqrt(8).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-18)*((-63)\/(-35))\/(2\/6).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(20\/(-5))\/4*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = p - 4. Suppose 4*c = -2*q + p, -5*q + 3*q + 34 = 3*c. Suppose 13*w - 45 = c*w. What is the remainder when 26 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*j + 12 - 48 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000263 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72\/(3 + 1) - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from sfiufusss.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + z + 1. Let m be (-12)\/8*(-1 + -3). Let q be (-8)\/m*72\/48. Calculate l(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.32 and 806.12?\nAnswer: -257.9584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 0 (c) 18.05 (d) -18 (e) 5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143644451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/9877133 and -27\/32453437.\nAnswer: 227174059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/2 - 2667*k**2\/2 - 297036*k - 295704.\nAnswer: -3*(k + 1)*(k + 444)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/5 - (6\/5)\/3. Put -1\/2, -0.9, -12, 5, i in descending order.\nAnswer: 5, -1\/2, i, -0.9, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.21 + -0.2. Let h = -5.01 + d. Let z = 0.56 - -1.44. What is the third smallest value in z, h, 5\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(1\/((-1)\/(-2))). Suppose -f = -o - 8. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171208 is divided by 4639.\nAnswer: 4204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -8 + -1 + (-17 - -29).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*i + 5 = -37 - 26 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1890)\/(-25) - 0)\/(-11*162\/(-2970)).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + p - 1. Let c(a) = 8*a**2 - 9*a - 5. Let r(m) = -c(m) + 6*y(m). Let x be r(4). What is the greatest common divisor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = 15*k - 14263 + 13957 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(u**4 - u**4 + 2*u**5) - u**5 + 2*u**5 + u**5 + 10*u**5 - 6*u**5 + 4*u**5 + 7*u**5 - 3*u**5 - 3*u**5.\nAnswer: 13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-6 - -8 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1679 (base 10) to base 8\nAnswer: -3217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyqhhhhqqq. What is prob of picking 1 h and 1 q?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + 7. Suppose -h - 2*h = -3*g - 51, 0 = -5*h - 3*g + z. Suppose 5*c = -2*t + 829, -c + 152 + 9 = -2*t. What is the greatest common divisor of h and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1539.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 465, 1805, 4025, 7119, 11081?\nAnswer: 15905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a microgram in nanograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 2*g + 0*g to the form t*g + x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -659, -647, -635, -623, -611, -599?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/50*(-967400)\/(-3455)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.61 or -0.021?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/91 - -2*(-26)\/(-14). Let v be 4 + 0 - (-8 + q). Find the second derivative of 15*p - 4*p - p + v*p - p**4 wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.53976 hours to seconds.\nAnswer: 12743.136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-45))\/(6\/27). Differentiate -2*c**s - c - 2*c - 2 + 0 + c**2 with respect to c.\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54013 > 54095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2858 + 2864. Solve -2*a + 2*j = -4, g*a - 2*j - 3 = 2*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/((-143)\/(-42)) + 2\/11. Suppose -3*d = 4*w, -k*d - w = -0*d. Suppose -3*y + 12 = d, -4*h + 97 = -4*y + 5. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6924, 27576, 61986, 110148, 172056?\n\"Answer: -u**3 + 6885*u**2 + 4*u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5115.\nAnswer: 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 13. Let w be x - 3 - (3 + 0). What are the prime factors of 264\/42 - (-4)\/w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -2885*h + 2887*h - 11, 3*h - 10 = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*f**2*p**2 - 744544*f**2 - 31*f*p**2 - 831*f*p wrt p?\nAnswer: 48*f**2*p - 62*f*p - 831*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -277*y**3 + 4*y + 4. Let p be f(-2). Let g = p + -39859\/18. Find the common denominator of 67\/33 and g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.962950696 to 2 decimal places.\nAnswer: -2.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-10\/7)*d*d**(1\/12)\/d*d*d**(2\/9)\/(d**(-4)\/d) assuming d is positive.\nAnswer: d**(1229\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 42, 38, 34, 30, 26, 22?\n\"Answer: -4*k + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 11. Let o be g(-4). Suppose -2*p - 1 = j, -o*j + 26 = 2*p - 9. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 - 144. Let z = 6 - r. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -19*n. Let m be s(-3). Let i = -35 + m. Calculate the remainder when i is divided by (8 - 1) + (3 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5288 or 5289?\nAnswer: 5289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.344 * -0.1.\nAnswer: 0.0344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 f when three letters picked without replacement from {f: 2, q: 2, e: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 293169979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 82.24?\nAnswer: -24.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 17*u - 2. Let z(y) = 17*y - 1. What is 2*v(o) - 3*z(o)?\nAnswer: -17*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37963 is divided by 18937?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -33. What is the greatest common divisor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 + 11*z. Let i be j(-4). Let m(o) be the first derivative of -2 + i*o + 1\/3*o**3 - 4*o**2. Give m(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -180 + 178.632. Let h = 1.46 - -0.24. Let o = h + g. What is o rounded to two decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*d**3 - 4*c**3*d**2*f - 6*c**2*d**2 - 2*d**3*f - 16*d*f - d wrt c?\nAnswer: -6*d**3 - 24*d**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6695*b*g - 10*b*y**4 + 35*b*y - 2*g*y**4 - 2*g wrt y?\nAnswer: -40*b*y**3 + 35*b - 8*g*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*g - 2*u + 4, 0 = -4*g - 5*u + 4. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-1056)\/224 - -13.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - 2*o**4 - 2*o**4 + 3*o**4 - 4*o**4 - o + 2*o**3 to s + r*o**4 + x*o + w*o**3 + g*o**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 2:08 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3 - 3. Suppose -2*d = -5*m + 188, -5*m + 3*d + 184 = 2*d. Suppose 4*b - m = b. What is the greatest common factor of i and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -29*v. Let y(s) = 4*s. Calculate b(y(d)).\nAnswer: -116*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 4*v - 9. Let p be q(6). Suppose -p*j = -27 - 153. Let u = 112 - j. Is 26 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3, 2.36, 148 in increasing order.\nAnswer: -3, -1\/3, 2.36, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 49 = -2*l, 2*l - 23700*j - 739 = -23749*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -482, -1185, -2178, -3461, -5034?\nAnswer: -6897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 7*u**2 + 22*u - 193. What is n(6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 57*t**3 + 2*t**2 - 7*t - 9. Give b(-1).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*n**2 + 1605*n - 1605*n + 1)*(-3 - n**3 + 3).\nAnswer: 24*n**5 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -1. Let f = -152 - -151. Sort -4\/5, p, f in descending order.\nAnswer: -4\/5, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**2 + 10*f + 331. What is the remainder when 698 is divided by o(-6)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 7:55 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2 + 1502331584*n + 141062511767746816 = 0. Calculate n.\nAnswer: -187791448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/15)*(k\/(k\/k**(-2\/23)))\/k)**(2\/9)\/((k**(-1\/8)*k**(-1\/6))\/((k\/(k\/(k*k**(3\/4)))*k*k*k)\/k**(-2))) assuming k is positive.\nAnswer: k**(168179\/24840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehhhheeheeheeh. What is prob of sequence ee?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w + 7. Suppose 0 = 4*l + 4*t - 48, 3*t + 14 = 4*l - 2*l. Suppose -3*d = -2*b - l, 0 = b - d + 6 - 1. Calculate y(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide (-10)\/(-6)*(132 - (1 - 4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1270*g - 22. Let k be u(3). Suppose 27*q = 23*q + k. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 14 - f**2 - 33 - 3*f + 8 + 15. Let w(a) = 2*a + 41. Let o be w(-22). Determine d(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 4*q - 6, 3*p + 18 = -q + 24 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*z + 24 + 114 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**3 - 5*o - 5. Let y(p) = -p**3 + 7*p**2 - p - 8. Let b(a) = -3*a**2 + a + 4. Let v(r) = -7*b(r) - 3*y(r). Give 4*t(l) - 5*v(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 9) in base 2?\nAnswer: -101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**2 - 79719*f + 876546 = 0.\nAnswer: 11, 26562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**9\/20160 + z**8\/4480 + z**7\/3360 - z**4\/4 - 2*z. Let b(f) be the third derivative of u(f). Solve b(o) = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6842 and 4879974?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-6)*7*(-16)\/280.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjbj when four letters picked without replacement from {o: 2, j: 13, r: 2, b: 3}.\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqn when four letters picked without replacement from nqqnnnqnnnnnnnqq.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160446 and 160446?\nAnswer: 160446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -4*q + 2592, -q = -3*i + 58 - 698. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137225 divided by -227445?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -130286324 greater than or equal to -130286323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 40. Let d = 5 - j. Let t = 113 - d. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (5 - (-4 - -16 - 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -129 + 33 - -51?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 18*l - 96. Calculate b(-22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*12*2\/15. Solve u = -u + s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 + 77 = -11*y. Suppose -c + 33 = -y*c. What is the highest common divisor of c and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -801 - 797 - 3*f + 1597. Let w(u) = u - 1. What is -4*w(k) - z(k)?\nAnswer: -k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l + 187 = -165. What is the remainder when 93 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.28 - -0.02. Let w be 124\/(-266) + (-6)\/57. Let i = 8384\/3 - 2796. What is the smallest value in w, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/9*168\/392.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1332, 7, 0, 1.\nAnswer: -3, 0, 1, 7, 1332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**4\/6 + g**3\/3 - g**2 + 18*g. Let o be m(1). Factor 5*x**o + 9*x + 16 - 16 + x.\nAnswer: 5*x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2311 divided by 4942\nAnswer: -2311\/4942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 10:10 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 60 = 0, -999*c - a = -1003*c + 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, 5, 0, -3, -2\/13 in decreasing order.\nAnswer: 5, 0, -2\/13, -3, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 12*f**3 + 1193*f**2 - 3160*f + 84. Determine l(-102).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 28 - (2 + -1) - (5 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -575403, -575405, -575407, -575409, -575411?\n\"Answer: -2*q - 575401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 434*u**2 - 24*u - 47. What is the tens digit of p(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 38 = 5*j. Suppose -a + 2*d + 22 = 0, 5*a - 3*d + 41 = 123. Let p = a + j. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-258)\/(-18)) + 8\/(-12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 17*r - 3 + 53*r**2 + 32 - 54*r**2. Is o(16) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607778.\nAnswer: 2, 303889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110 - 110 - 2*c**3 + 0*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*c + 0*c = -20, -2*l + 6 = c. Solve l - 1 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000660859 rounded to 7 dps?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, o: 4, a: 6, b: 3}. Give prob of sequence abba.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-420)\/(-45))\/(2\/3 + 0). Let i be 0 + 173\/7 - z\/(-49). Solve 5*u = -15 + i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -51*q**3 + 3*q**2 - q. Let b be k(1). Let g = 99 + b. Let t = -26 + g. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from {e: 2, o: 1, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkkwvaywkaykaswkya. Give prob of sequence yak.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6 - 6 + j**3 - 8*j**2 wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n - 23*a - 15*a + 65 = 9*a, -2*n - 2*n + 4*a = -32 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlzuzuummuzlu. What is prob of picking 2 u?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**8\/168 + 2*x**7\/21 + 11*x**6\/20 + 4*x**5\/3 + 4*x**4\/3 + 94*x**2 + 1. Suppose k(i) = 0. What is i?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - (-13 - -13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123263.\nAnswer: 7, 17609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*o + 49*o + 49*o + 50*o + 208 - 205*o to the form f*o + y and give y.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 201.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - t**2 + t**2 + (14 - 14 + 3*t)*(-t - t**2 + t) - 36*t**3 + 42*t**2 - 42*t**2 + (-2*t**2 - t**3 + 2*t**2)*(-1 - 4 + 4) - t - 2*t**3 + t.\nAnswer: -38*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -984289, -1968547, -2952805?\nAnswer: -3937063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 16. Suppose 3*t - 74 = 2*b + 22, t - y*b = 25. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -8 + 3*c + 0*c**3 + 3\/2*c**4 - 3\/5*c**5 - 3*c**2. Find j such that w(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -45989, 5, -6.\nAnswer: -45989, -6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*d - 4*m, 3*m - 5 = -5*d - m. Let t(c) = c**2 + 4*c + 2. Determine t(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -482 by -3468.\nAnswer: 241\/1734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*t - 60 = -180*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 8*w - 173. What is g(9)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11541192 + 2?\nAnswer: 11541194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 12*i**2 + 19*i - 2. Let z be p(-10). Let h(c) be the second derivative of -5\/2*c**2 + c**3 - z*c + 0. Find the first derivative of h(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 6*h - 9. Let f(u) = 962*u - 473*u + 56 - 6*u**2 - 452*u. Let o(z) = 6*f(z) + 39*q(z). Factor o(b).\nAnswer: 3*(b - 5)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8318 - 2173 = 391*n - 6758 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 9*o**2 + 11*o. List the prime factors of q(10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 13409*x\/4 + 838.\nAnswer: (x + 3352)*(4*x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 2*a + 1. Let v be n(3). Let s(m) = -m + 7. Let y be s(v). Suppose 0 = -2*i + 5 + y. Let h(b) = 2*b - 5. What is h(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -8*x + 4*x. Suppose 0 = -a + d + 7, -a + 2*d = -6*a + 56. Calculate the least common multiple of a and x.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 11:30 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -10*u + 1. Let b(g) = -213*g + 2. Let o(k) = -2*b(k) + 4*z(k). Let j(n) = -n**2. Determine o(j(d)).\nAnswer: -386*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + 0 + sqrt(320).\nAnswer: -7 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q - 7. Let h be k(-2). What is the least common multiple of 12 and (-1)\/(2\/20*h)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*d + 826, 0 = 2*d + 2*d - 3*p - 660. Calculate the greatest common factor of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412556937?\nAnswer: 3, 13, 19, 29303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 1:50 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12069 = 14*w - 15*w - 8*w. What are the prime factors of w?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 - -74. Sort 0.3, 1, b, 2 in ascending order.\nAnswer: b, 0.3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 783 - 1037. Which is smaller: -252 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -5293, -918 in ascending order.\nAnswer: -5293, -918, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + -0.3. Let b = 747\/5 + -150. Let k be (14\/4)\/(105\/(-1800)*-10). What is the third biggest value in k, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -9, -1\/5 in increasing order.\nAnswer: -9, -6, -5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**5\/30 - 53*q**4\/3 - 11236*q**3\/3 - 6*q**2. Factor o(a).\nAnswer: -2*(a + 106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 3 + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 212*q + 421*q - 203*q + 0.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6729403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 34\/1327, -0.5?\nAnswer: 34\/1327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-three halves of a microsecond?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z**4 - 66*z**3 + 1196*z**2 - 336*z = 0 for z.\nAnswer: -12, 0, 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 4. Let t(w) = -2*w + 10. Let b(k) = -k**3 - 18*k**2 - 32*k + 12. Suppose 4*d = -93 + 29. Let i be b(d). What is i*g(y) + 5*t(y)?\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2. Let o(x) = 7*x**2 - 12*x - 199. Determine o(l(f)).\nAnswer: 7*f**4 - 12*f**2 - 199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 8:57 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 12356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*u**3 + 27*u**3 + 15*u**3 + 4*u + 37*u**3 + 0*u**3 to q*u + z + m*u**3 + v*u**2 and give m.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -117, -90, -51, 6, 87, 198, 345, 534?\n\"Answer: j**3 + 20*j - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1211 or -6.94?\nAnswer: -6.94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - 20. Let m = -34 - s. What is the nearest to m in -11, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 k when four letters picked without replacement from kwkke?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*m - 29980, 3*m = -2*h + 10421 + 4574. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 16*q + 115. Let y be c(-17). Suppose -129*n + y*n - 66 = 0. What is the greatest common divisor of n and 506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*s + t, 4*s = -51*t + 47*t - 4. Solve -10 = -5*x - 3*k, -s*k = -29*x + 24*x + 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10334*0.4\nAnswer: -4133.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.34464407 rounded to 2 decimal places?\nAnswer: 22.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/23?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 982*f + 82931 = -1016*f - 65571 - 17332 for f.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -185*z**2 - z + 6. Give o(1).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 904 divide 841266746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 48. Calculate the remainder when 43 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*t - 108. Suppose -342 = -52*l + 46*l. Let b = t + l. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2) + (-29)\/10 + 4. Let c = -563\/4 - -140. What is the biggest value in l, c, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/9 + 35\/3. Suppose -8 = -5*f + p. Let k(w) = -w**3 + 5*w**2 - 4*w - 2. Let l(y) = -y**3 + 6*y**2 - 5*y - 2. Calculate f*l(b) - 5*k(b).\nAnswer: b**3 - b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*b**4\/4 - 57185*b**3\/4 - 29685*b**2\/2 + 27985*b + 1166 = 0. Calculate b.\nAnswer: -1166, -2, -2\/49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 313 = 347. Let t be 2\/(-5)*k\/(-96). What is the closest to 2\/5 in 0.4, t, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 - 15 = 0. Let g be 1\/(-3) - 8\/r. Let o be (g\/(-7))\/((-2)\/(-4)). Which is the second smallest value? (a) -4 (b) 1\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 443719495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 40 = -3*n, n = 535757*z - 535752*z - 28 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 364 + -151. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*r - 2 - 1, 2*r + 6 = 0. Let l(i) = i**3 + i**2 - i + 3. Let t be l(0). Suppose t*d + 9 = -z - 2*z, 0 = -5*d - a*z - 11. Are 2\/15 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223238, -446475, -669716, -892961?\nAnswer: -1116210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*n = 288, 10*o + 720 = 15*o + 4*n. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 13*v. Let g(q) = 30*q - 1. Determine g(d(a)).\nAnswer: 390*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 12*o**2 - 8*o - 16. What is b(-12)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 752 divide 560082186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4708274 + -1466784.\nAnswer: 3241490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + (-1 - 0 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37\/44 - -12\/11. Suppose 0 = k + k - 10. Suppose -18*t + k = -13*t. Is z greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = -0*r + 3*r, 3*c - 6 = -3*r. Suppose r = -6*d + 2*d + 12. Suppose -d*n = n. Solve -3*j - j = n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*c - 31*c + 86 - 75.\nAnswer: -195*c + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2456*30.\nAnswer: 7.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -213*l - 5*l**4 + l**4 + 246*l - 127*l + 445 + 0*l**4 with respect to l.\nAnswer: -16*l**3 - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -160. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 w, and 1 p when three letters picked without replacement from {p: 1, j: 2, w: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967065229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 445*b**3*k**3 + 3738*b*k + 195*k**3 - 4684*k**2 + 4 wrt b?\nAnswer: 1335*b**2*k**3 + 3738*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2 + 419156*c + 838304 = 0 for c.\nAnswer: -209576, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) 2 (b) 5 (c) 2\/7 (d) -2566\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-16)*-2)\/((-1267)\/724).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 16*z**3 + 2 - 49*z**3.\nAnswer: -33*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 23*a**2 + 16*a**2 + 2*a - 2*a. Calculate the remainder when t(1) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34344230 divided by -446?\nAnswer: 77005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10\/6*30\/50\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 2, b: 2, s: 2, n: 1, h: 1}. What is prob of sequence hk?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 17 = -2. Suppose 25*j - 25 = 20*j. Solve -q + 3 = w, 3*q - 2*q - v = j*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123113 + -41?\nAnswer: -123154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82675 and 800.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.83? (a) -1 (b) 231\/4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*z - 81*z + 33*z + 35*z)*(-z + 0 + 0).\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*r**5 - 7376*r**4 + 7386*r**3.\nAnswer: -2*r**3*(r - 1)*(5*r + 3693)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*n + 2 - 8, 0 = 5*m - 3*n + 10. Let o = -132 - -663\/5. Let y be (-1)\/(-2)*-2*-1. What is the nearest to y in o, 0, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-4)*((-31)\/(-5) - 3). Let l = -12 - v. Solve -11 = g + 4*a + 13, 5*g + l*a = -40 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 107 = -4*a + 85, 2*a - 4*o - 96 = 0. Let d(h) = h**2 - 25*h - 49. Let b be d(27). What is the units digit of -2 + a\/10 - (-1)\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*m - 1. Suppose t - 11*f = -13*f + 106, -t + 3*f + 116 = 0. What is the greatest common divisor of t and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 13) to base 2\nAnswer: 10110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, d: 3}. What is prob of picking 2 d and 2 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 0*g - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 + 2 - 6)*(2 - 2*f - 2) - 74 + 74 - 336*f)*(18*f - 5*f + 20*f) - f - f**2 + f to b*f**2 + l + x*f and give b.\nAnswer: -11155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 71, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.191 - 93.809. Let d = 109.6 + f. Let w = 16 - d. Put w, -3, -5 in ascending order.\nAnswer: -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w*w*w**(-23)\/w*w)*(w\/w**29)\/w assuming w is positive.\nAnswer: w**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9302*s + 4. Let c(k) = 27920*k - 10. Give -3*c(r) - 8*m(r).\nAnswer: -9344*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 3, e: 1, v: 2, y: 1, h: 3}. What is prob of picking 1 e, 2 v, and 1 s?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41.2 - -41.33. What is the closest to s in 1\/5, 2, 1\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 162. Let z(f) = -2*f. Calculate z(p(k)).\nAnswer: 2*k**2 - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/2768600 and -99\/2214880?\nAnswer: 11074400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwg when three letters picked without replacement from {g: 4, w: 2, s: 5, q: 4}?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-26 + 8 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129037 - 35378. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 12*i + 3. Let x be n(-12). Suppose g = x*g - 10. Suppose j + 2*j = g*p + 46, 5*j + 2*p = 25. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1588, -2580, -3528, -4438, -5316?\nAnswer: -6168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/(-10) + -7*4\/(-140). Let u be (1 - 0) + 1 + -26. Let k = s - u. Calculate the remainder when k is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5048797319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 1 = 2*p. Suppose 4*t - p = 5*m - 5, -3*m - 5*t + 34 = 0. Suppose -5*v = -m*v - 1094. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 0*h + 1\/6*h**4 + 1\/60*h**5 - h**2 + 1\/2*h**3 + 0. Let q be g(-1). Sort q, -5, 3 in ascending order.\nAnswer: -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 + 174. What is the remainder when h is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5482e9 (base 16) to base 10.\nAnswer: -5538537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.073 and 540.\nAnswer: -39.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*m, -3*m - a - 25 = -27. Is m greater than or equal to 15\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 3. Let s be p(-1). Suppose 135 = -s*j + 765. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*j - j. Let r(k) be the first derivative of 0*k**2 + j*k**4 + 0*k + 1\/3*k**3 + 3\/5*k**5 - 3. What is the third derivative of r(f) wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19128946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.855728ug?\nAnswer: 0.000007855728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 399 = 515. Let y = a - 210. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 531 + -522. Which is smaller: -1\/3 or o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.29844 - -19.3. Round h to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26176*-6.031\nAnswer: 1.57867456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90 - 10977*i - 1815*i - 90)*(-2*i**3 + 2*i**2 - 2*i**2).\nAnswer: 25584*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 604000*o**3. Let h be w(1). Suppose -6*j = -5*y - 8*j + 8, 2*y = 2*j + 20. Suppose y*a + 0*a = -h. What is a rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - -2 - 13\/(-1). Let x be (q*6)\/((-45)\/(-42)). Let n = -67 + x. Sort 3, n, 4 in decreasing order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -2*r. What is the third derivative of -4*z**r - 8*z**2 - 2*z**6 + 6*z**4 - 2*z**4 wrt z?\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1463, 1459, 1455, 1451, 1447?\nAnswer: 1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 12 = -3*v, 2*v + 20 = 4*u + 4. Suppose 70 = -14*p - v. Suppose 5*s + 12 = -8. Sort 3, p, -2, s.\nAnswer: p, s, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545373.8 + -5?\nAnswer: 545368.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 3\/5, -1\/7, 4\/3, -83?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 + -45. Let b = -343617.0039 - -343559. Let t = f + b. What is t rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1243, -1225, -1239, -1303, -1435?\n\"Answer: -3*l**3 + 2*l**2 + 33*l - 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 24*f**2 - 21*f - 64. Let s be j(23). Let x be (s - -22) + (-1 - -13). Solve x = 2*l - 6*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3335132783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = n - 7, -7*n + 2 = -2*o - 5*n. Sort o, 2, -13, 5 in decreasing order.\nAnswer: 5, o, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2710 to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -162*m**4 + 8*m - 12?\nAnswer: -1944*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -35*a + 2. Calculate the remainder when 73 is divided by x(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 10*h**2 - 6*h - 5. Is 19 a factor of f(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -12 (b) 2 (c) -0.2 (d) -308 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 45.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + i - 67654 = 0, 3*q - 50733 = -8*i + 6*i. List the prime factors of q.\nAnswer: 5, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 + 3 + 60*x - 2547*x**6 + 3*x**2 - 28*x - 32*x - 43*x wrt x.\nAnswer: -305640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 461858?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.975 + 0.025. Sort 1\/5, -0.2, f, -2 in decreasing order.\nAnswer: f, 1\/5, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 39015*j**2 - 30 + 39017*j**2.\nAnswer: 2*j**2 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4830753, -4830746, -4830741, -4830738?\nAnswer: -4830737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*p**2 - 146*p**3 - 14*p**2 - 8*p**2)*(-37 + 89 + 101).\nAnswer: -22338*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**7\/840 + b**6\/360 + b**5\/120 - b**4\/8 + b**2. Let y(t) be the second derivative of p(t). Calculate y(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 1, 61.65, 2.46?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 40592128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -170, -169, -168, -167, -166?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73626107.\nAnswer: 191, 269, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 - -99.999665. Round l to 5 decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f + 4*f + 2*f)*(6*f + 18*f**2 - 6*f) as p*f + m + c*f**3 + i*f**2 and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*b**4 + 22386*b**3 - 176532*b**2 + 11296*b = 0. Calculate b.\nAnswer: 0, 2\/31, 8, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 3*h**4\/4 + 2*h**2 + 14*h. What is the first derivative of s(w) wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07408 + 20.24692. Let k = q + -3.351. Let o = k + -17. Round o to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 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: Suppose f - 52 = 8. Let o = f - 613\/10. Calculate the common denominator of o and 148\/(-6)*(-3)\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*h + 5*h - h + h - 1 to the form z + c*h and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.8 - 2. Round w to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**2 + 2*d**2 - 2*d**2)*((6 - 5 + 6)*(d + 0*d - 3*d) + d - 3 + 3 - 5 + 5*d + 5) to t*d**2 + m + q*d + x*d**3 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -149308.\nAnswer: -29861.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*c = 70 - 40, -2*c = -5*m - 3. Let g(q) be the first derivative of 0*q**4 + 6*q - 3\/2*q**m - q**2 - 2 + 1\/10*q**5. Factor g(b).\nAnswer: (b - 3)*(b - 1)*(b + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001609 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 4a3337?\nAnswer: 4a3337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 5:48 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 78*l**5 + 2200*l**4 - 43174*l**3 + 5240*l**2 + 171448*l - 56160 = 0. What is l?\nAnswer: -540\/13, -2, 1\/3, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 220a36 (base 13) in base 8?\nAnswer: 3035243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*f + 15 = 0, -f + 4*f + 4 = 2*k. Let u(g) = -48*g - g**2 + 18*g + 14*g + 3 + 20*g. What is u(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - o + 2 + (1 + o - 1)*(-1 + 3 - 4) + 3*o + o - 3*o - 1 + 1 - 2*o + (1 - 2 - 1)*(o + 11*o - 5*o).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 l when four letters picked without replacement from {l: 2, e: 1, m: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - -2)*((-600)\/15 - -41). Let j(y) = 10*y - 5. Let b(n) = -9*n + 6. Determine w*b(g) - 6*j(g).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/5)\/((-1)\/5). Suppose -3*g = -2*g + 21. Let m = 24 + g. Solve -m*a = c*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + sqrt(245) + -3 + 0 + sqrt(245) + sqrt(245) + sqrt(245) + (sqrt(245) - 2*sqrt(245)*3)))**2*3.\nAnswer: 6615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8420131nm in centimeters?\nAnswer: 0.00000008420131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8956, -2, 9, -51 in decreasing order.\nAnswer: 9, 2, -2, -51, -8956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*b**3 - 268*b**3 - 4*b**2 - 10*b**4 + 2*b**2 + 101*b**3 - 6 + 80*b**3 - 2*b to the form f*b**3 + d*b**2 + v*b + p*b**4 + y and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-190)\/3)\/((-84)\/126)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3741 and 516.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005313 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*g + 97 + 13 = -4*w, -g + 76 = -2*w + 75 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 478 + -470.67. Let d = 7.3299389 - g. Round d to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 + (1 - 2))\/((-24)\/(-16)). List the prime factors of (60 - 4)*(-25)\/f.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.63 - -0.33. Let b = 124 + -621\/5. Let v = b - 3\/10. What is the nearest to v in -1\/8, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1570 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 8 = -x. Let r = 13 - x. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -125 + 123. What is the tens digit of 57*(13 + 6\/t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 420720671?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 5436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 0*w - 3*w)*(-1 + 3 + 0) - 3*w + 5*w + w - 9*w + 28 - 28 in the form b + v*w and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 44.88. Let u = z + -2.82. What is u rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**3 - 2*c**2 + 4*c - 1. Suppose -5*s + 4 = -4*s. Let q(z) = -z + 9*z**2 - 9*z - 7*z - 17*z**3 + 1 + s. Determine 9*i(h) + 2*q(h).\nAnswer: 2*h**3 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -652*b - 2665. What is s(-4)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - j - 5. Let h be m(0). Let w(g) = 7*g**2 + 7*g - 7. Let d(p) = -3*p**2 - 3*p + 3. Suppose -7*v - 2*v - 18 = 0. What is h*d(i) + v*w(i)?\nAnswer: i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**5\/5 + m**4\/3 + m**3\/6 - 6*m**2 - 2. Determine z(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3 + 8*u**2 + 9*u - 18 = 0.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 9) in base 15?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -71033\/3 and -23678 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a century in months?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 404 + -400. Solve -3*l - 2*f + f = -11, -x*l - 4*f = -28 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -32*p**2 + 108*p - 36 = 0.\nAnswer: 3\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11871233*j**3 - 543*j**2 - 191*j + 6.\nAnswer: -71227398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 417, 1424, 3111, 5484, 8549, 12312, 16779?\nAnswer: 21956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 45\/30*1\/(-2)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18485 - -35326. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**2\/7 - 720822*t\/7 = 0.\nAnswer: -240274, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42.08 - -42. Let x = p + 0.08000205. What is x rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/8*1548\/(-1290). Sort -0.2, -4, d, 0.05 in ascending order.\nAnswer: -4, d, -0.2, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 7*q - 2. Let i(u) be the second derivative of -u**4\/12 - u**3\/3 + u**2\/2 - 11*u. Give 7*i(l) + 2*z(l).\nAnswer: -l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 1 = 22. Suppose -4*a - 28 - 4 = 0. Let o = -1 - a. Solve -i*z - 15 + o = c, -3*z - 14 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*l)**33*l\/(l\/(l**4\/l))*l**(1\/7)*l*l**(1\/2)\/l*l**(-2)*l**(-3)\/(l\/l**6) assuming l is positive.\nAnswer: l**(975\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 2*b. Let p be a(-1). Suppose z - 4 = 1. Suppose -3*f - z = 2*f. Is f at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -27. Let n = x + 32. Suppose -7 = 4*s - s + 4*z, n*z + 8 = -4*s. Solve 0 = -4*c - 2*h + 16, -33 = -5*c + h + s*h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 take away -222.76?\nAnswer: 184.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 17. Let b(a) = -5*a - 7. Let k be b(o). Solve k - 1 = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29724216*c - 4*c**2 + 59448398*c - 29724182*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -8*a**3 - 89*a**2 - 256*a - 1658. Give w(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m*m**10*(m*m**(-3\/5)\/m*m)\/(m*m\/(m\/((m**(-5)\/m)\/m)*m)))**(1\/16) assuming m is positive.\nAnswer: m**(97\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(1331) + -1)*5)**2.\nAnswer: 1650*sqrt(11) + 33500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 7, 38, 103, 214, 383, 622?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 1 - (3 + 1). Let y be (-1)\/(-2) + 2\/4. Sort y, -2, c in ascending order.\nAnswer: c, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 0 + 0 + (2 - 3 - 1)*(0*q**2 + 0*q**2 + 2*q**2))*(-1 + 0 - 1) + q**2 - 5*q**2 + 6*q**2 + (-2*q + 1 - 1)*(q - 2*q + 0*q).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -9. Suppose 5*z - 2*l + 288 = 3*z, 0 = 4*z - v*l + 582. Let w be 14\/z*(-2 - 5). What is the second biggest value in 1\/2, 6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 6. Solve 3*l + b*l = -5*d + 5, -7 = d - l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36142*i + 27496*i - 63634*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 7*s - 3. Suppose 3*x + 1 = 16. Suppose q = -x, 0 = 3*a - 4*q - 22 - 13. Suppose r - 10 = -a. Calculate b(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 595\/34*2\/(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2060 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-3)*(6 - 0). Let f(w) = -w**3 - 5*w**2 + 3*w + 5. Is f(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3297 - 3302. Which is the third smallest value? (a) m (b) 1 (c) -1\/6 (d) -0.382\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21743.29317 rounded to the nearest integer?\nAnswer: -21743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = w + 3*i, -2*w + 3*i + 0 + 5 = 0. Suppose -5*q - 3*n - 8 = -0, 2*q + w = -2*n. Let z be q\/((-1)\/(-2)*1). Which is smaller: z or -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, c: 3, y: 1, t: 1, g: 6, f: 5}. What is prob of picking 1 g, 1 f, and 1 t?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1706 + 48. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - z + 1. Let d(b) = -9*b**4 + 5*b**3 + 5*b - 6. Let r(k) = -d(k) - 5*m(k). Differentiate r(s) with respect to s.\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**2 + 0 - 4 + j**2 + 5 as m + z*j**2 + d*j and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6245344 and 588?\nAnswer: 18736032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 4*x - 22 + (0 - x + 0)*(-2 + 3 - 2))*(3 - 5 + 1).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14945337, 14945339, 14945341, 14945343, 14945345?\n\"Answer: 2*i + 14945335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1620 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 2*u + 1)*(-2*u + 3*u - 3*u) + 2*u**2 + 0*u**2 + 0*u**2 - u**2 + 4*u**2 + u**2)*(4*u + 0*u - 5*u) to o*u**2 + v*u**3 + g*u + h and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5252 + 5251. Let r(q) = 13*q + 7. What is r(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 306268033?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/4571653 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3053 = -3*d - 0*o, -4*d - 4*o + 4076 = 0. Suppose 3*b = 174 + d. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -5 (c) -0.05 (d) 1\/11 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 2*z + 271 - 296, 4*z = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/5 + 4\/(-10). Let s = -15 + 77\/5. Sort 3, w, s in descending order.\nAnswer: 3, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {j: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 668.2195 nanometers?\nAnswer: 0.6682195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 3*i - 2. Let b be c(-4). Let u = 2 + b. Suppose -y + 23 = -4*k, 4*k = -13 - 3. What is the remainder when y is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3 + 2*v**2 - 5*v**2 + 2*v**2 + 6*v. Suppose 3*y - 20 = -y. Let c be u(y). Solve 5*k + c = -12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**2 - 179*b + 76. Calculate y(-36).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 445051 (base 7) to base 5\nAnswer: 10003313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 2*v, 2*j + 10*v + 15 = 15*v. Solve d - 4*t - 1 = -7, d = -j*t + 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*r = -230*r - 88*r + 20304 for r.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/189940 and 9\/35?\nAnswer: 1329580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iaa when three letters picked without replacement from aiiaa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 62830834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3 - -1)*19. Let d(s) = -87 - j*s + 87. Let m(b) = 3*b. Give m(d(t)).\nAnswer: -57*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -20. What is the second derivative of 23*j**3 + 6*j - 7*j**3 + b*j - j**4 wrt j?\nAnswer: -12*j**2 + 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -20. Suppose 3*a + a = -x*m + 8, -2*a - 18 = -3*m. Calculate the greatest common factor of m and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8)*r)\/r*(r\/(r\/(((r*r**15)\/r)\/r*r)*r))\/r*r\/(r*r**(-2\/11)\/r*r)*r\/(r\/(r*(r*r*r\/((r**(2\/37)\/r)\/r)*r*r*r)\/r)))**(-21) assuming r is positive.\nAnswer: r**(-112203\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-55)\/(-15) + -3)*60\/(-40)*-3. Let v = -3 - -3. Let a(f) = -f**2 - f + 19. Let m be a(v). Solve -5*y - u*s - 12 = -0*s, 5*y - 4*s = -m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 66*a + 1. Let v be o(-1). Let q = v - -323\/5. Let t = 0.48 - 0.58. Which is smaller: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 4*c + 6, 16 = -2*c + 4*u + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26764989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3.1. Let p = 18.6 + -18.1. Let j = 0 - 0.3. What is the third smallest value in p, j, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3589 - 13584. Let b = v + -216. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 3)*(-v + v - v**2 + (0*v - 3*v + 5*v)*(3*v + 3*v - 4*v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 84264205 and 707582.\nAnswer: 84971787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 659363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 + 7*a - 5. Suppose -5*j + 30 = w, 3*w + 2*j - 37 = 14. Let u(c) = 4 + 6 - 9*c**2 - w*c + 1. Determine -13*p(g) - 6*u(g).\nAnswer: 2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*r - 42*r + 30 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Let q = 2718 + -2717.5. Which is the fourth biggest value? (a) -2 (b) 6 (c) k (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7708 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69461333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2058 divided by 343\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43956?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.1, 1\/6, 0.8, 65, 6.43 in increasing order.\nAnswer: -2, 0.1, 1\/6, 0.8, 6.43, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005433 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512 and 3904.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8378 + -142317\/17. Do 7 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**5 - 24*j**3*y - 4*j**2*y + j**2 - y wrt j.\nAnswer: 60*j**2 - 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-1\/11)*s*s**(6\/11) assuming s is positive.\nAnswer: s**(29\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1262 is divided by 68?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilvi when four letters picked without replacement from vvvlivl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -83*p**2 - 6*p - 10. Let k be y(-2). Let c = k - -370. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68*m**5*o**3 + 78*m**4 - 8817*m**2*o**2 + 4*o**3 wrt m?\nAnswer: -4080*m**2*o**3 + 1872*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2*w = 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14827153, 29654311, 44481467, 59308621?\nAnswer: 74135773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -581.897 + -0.103. Let v = d - -583. Suppose 3*g + 2*k - 28 = 89, 4*k = -4*g + 160. Which is the third smallest value? (a) v (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -9419, -4, -48 in ascending order.\nAnswer: -9419, -48, -7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.288 from -6.1537.\nAnswer: -5.8657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55505928 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13, -5, 3, -590\/193 in decreasing order.\nAnswer: 3, -590\/193, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70.8 - 67.8. What is the smallest value in 6, -1\/21, z?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1548 is divided by 867?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -0.023 in descending order.\nAnswer: 2, 1, -0.023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 11*r = 6*r + 8795, o = 4*r - 2207. Let l = o + 4168. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1)*(44308\/(-33))\/212\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9964.008nm?\nAnswer: 0.0009964008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*c**2*g**2 + 15*c**2*g - 2*c*g + 2*g**2 - 11*g - 80 wrt c.\nAnswer: -148*c*g**2 + 30*c*g - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 25*o**2 - 208380*o + 5209508. What is b(25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2192 - 1450675175\nAnswer: -1450677367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0345911 and -5.\nAnswer: -0.1729555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3999 and 1023.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-3 + sqrt(2448) + 0 + sqrt(2448) + sqrt(2448))*4 - (3*(0 + sqrt(833))*5)**2))*4.\nAnswer: -749740 + 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 8 (c) 0 (d) 961 (e) -0.6 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a + 176 = 0. Suppose 3*x + 82 = b, 3*b - a = 5*x + 50. Let m = x - -41. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*t - 2*n, 0 = n + 16 - 17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = w - 0. Let q be 2\/(-4) + w\/(-4). Solve -2*s = 2*d - 6, -2*d + 8 = 2*d + q*s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 - -109. What is the nearest to 9 in -2, q, 2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by (-2444)\/(-48) - 46\/(-552)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(1\/2)*(t\/(t*t**(1\/3)\/t))\/t**(-3\/7) assuming t is positive.\nAnswer: t**(67\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -21389*s**3 + 2*s**2 - 4*s - 8. Let o(a) = -228755354*a**3 + 21391*a**2 - 42782*a - 85564. Calculate 21391*m(h) - 2*o(h).\nAnswer: -21391*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7456525169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1394\/17789?\nAnswer: -1394\/17789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5500 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41638340 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**4 - 19776*l**3 - 551376*l**2 - 3854144*l = 0?\nAnswer: -4916, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, 17, -2\/9, 58, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1398245 to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.3 - 5. Let n = 0 + s. Let a = -782 + 781. Which is bigger: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2625588 divided by 84\nAnswer: -31257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -2 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*v = 388*v + 24 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-15))\/((l\/(l*l**(1\/5))*l)\/l)*((l\/(l*(l**(-5\/4)\/l)\/l))\/l)\/(l**(-1\/18)\/l) assuming l is positive.\nAnswer: l**(3511\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeueueeuuu. What is prob of sequence uuuu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 15) + 45 + -3 + 10?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 25*f**3 - 32*f**2 - 5*f. Let x(o) = 2*o**3 + o**2 - o. Let g(b) = -3*d(b) + 15*x(b). Find the third derivative of g(p) wrt p.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**4 + 970*j**3 + 27665*j**2 - 1879860*j + 18779220 = 0.\nAnswer: -114, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 635.19 times 1824\nAnswer: 1158586.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33446837219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -436*h**3 - 8*h**5 - 5*h**5 + 12*h**5 + (h**2 + 7*h**2 - 4*h**2)*(0*h**3 + h**3 + 2*h + 0*h**3).\nAnswer: 3*h**5 - 428*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 6*w - 5. Determine o(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/103 and -45.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.510854 rounded to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 27. Suppose f = -2*c + 2*b + 32, b - 3*b = 6. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -26. Let a(q) = 14*q**2 - 26*q**u + 15*q**2. Let l(s) = -8*s**2. What is l(a(h))?\nAnswer: -72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (99\/66)\/((-6)\/(-148)). Let s be -2 - (5 - (2 + -2)). Let l = s + m. What is the lowest common multiple of l and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.753 rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w + 6 - 7*w**2 + 12*w**2 - 12*w**2 + w**3. Give q(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*2*-4)\/(2*sqrt(1089) - sqrt(9)).\nAnswer: -8*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -792 divided by 132\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(1512\/(-16)))\/1\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {p: 3, t: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 485.7, 1\/3, -2, 2, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*x = -131*x - i + 3, -3*x = 2*i - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s = 26*s + 3750. Let r = s + -374. Let x = -157 + r. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 237 - -307. What is the highest common divisor of j and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 5*m - 20, -310*t + 312*t = -4*m + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 98, 107, 118?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7230 by 3615.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 646, 1, -1 in descending order.\nAnswer: 646, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b - 1. Let i be y(-1). Suppose -i*p = -4*f + 40, 5*f = -3*p + 37 + 50. What is the greatest common factor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 6*u**2 - 33. Calculate p(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/(4 - (-5 + 11)). Let g be 10\/(-6) + 5\/(-15). Which is the closest to g? (a) -1 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 124, 231, 394, 631?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*c = 3*c - 10, 0 = 3*s - 3*c + 6. Suppose -v - 5*n + 162 + 293 = 0, s*n - 2252 = -5*v. Round v to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7 - 1 - 5*n + 8*n - 7. Let u(d) = -2*d + 8. Let g(p) = 3*c(p) + 5*u(p). Calculate g(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 775\/(-93)*(-12)\/(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1914 - 96 = -2*t, -12 = -3*t. What is the highest common divisor of c and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41\/20 in -10, -5, 0.2, -0.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21406 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 + -33. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**6\/15 + 119*s**3\/6 + 19*s**2\/2 - 150*s. What is the derivative of i(a) wrt a?\nAnswer: -8*a**3 + 119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-40.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -7. Suppose -5*z + 3*n + 4 + 8 = 0, -4*z = 3*n - 15. Suppose -5*f - 5*h = -55, z*h + 9 + 3 = 0. What is the remainder when f is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - (sqrt(66) - sqrt(66)*-3)\/sqrt(3))\/sqrt(2).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -71.8773 times -0.04\nAnswer: 2.875092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-6)*4*(-6)\/(48\/(-8))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1238\/5992 + (-1)\/(-4). Let w = c - 3\/107. Factor w + 12\/7*l**2 + 15\/7*l.\nAnswer: 3*(l + 1)*(4*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 549 and 460428.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 94*p**2 - p + 1. Let z be i(-1). Let h = z - 46. What is the greatest common divisor of 20 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 439*b**2 - 496*b - 165183. Give q(437).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6765 = 2*h + 3*x, 0 = h + 4*x + 2147 - 5542. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bd (base 16) to base 12.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 210*a + 22043. Give b(-105).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -330*k**5 - 662*k - 1420. What is the first derivative of b(u) wrt u?\nAnswer: -6600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.2. Let h = x + -0.04. Let v = h - -2.04. Which is the closest to v? (a) 3 (b) 0.5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6 - (-1)\/(-3). Let d be (1\/(-10))\/(t\/6). Suppose -18 = 5*u + 13*u. Which is the closest to u? (a) d (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -20418919?\nAnswer: 3\/20418919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/(-40)*(-3840)\/1344\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -13155*p**2 + 4*p. Let j(m) = 26302*m**2 - 10*m. Give -5*f(u) - 2*j(u).\nAnswer: 13171*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-24 - -56) + -2?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j - 85. Let g be i(21). Let n(p) = -5 + p + 5 - 87*p**3. Is n(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -26*r + 0*r**2 - 38 - 4*r**2 + 5*r**2 - 19. Let d be k(28). Which is the closest to -2\/11? (a) 5 (b) d (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 733448153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5687)\/(-1034))\/(2\/(-8))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 276520 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004108 to 5 decimal places.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfezbtbftezzf. Give prob of sequence zbe.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*m + 18, -19 = -2*p - 0*m + 3*m. Let i be ((-6)\/9)\/(p\/(-9)). Suppose i*s + s - 4 = 0. What is the highest common factor of s and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2103462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -39*p**2 + 83*p**2 - 71*p**2 - 39*p**2 - 5*p + 4*p. Let o(t) = 4*t**2. Give o(d(k)).\nAnswer: 17424*k**4 + 528*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 20 = -h, -5*h + 17 = -3*m - 23. Sort 0, 3, m in increasing order.\nAnswer: m, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {d: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(1 - (-10)\/(-6)). Let s be ((1 - 3) + j)*-2. Let f(p) = -8*p**3 + p**2 + 2*p + 3. Is f(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 2\/9, -2211, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/2, 7.5, 2\/13, 0.19, 227 in descending order.\nAnswer: 227, 7.5, 0.19, 2\/13, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/2025 and -71\/1020820.\nAnswer: 413432100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 882\/14*(-3)\/(-9). Which is smaller: 6 or z?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 51*t + 255. Let l be k(6). Solve r + o = -1, 3*r - 32 + l = 4*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152 + -1370\/9. What is the closest to 0 in x, -0.5, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3641567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-159)\/(-1 + -2)*-1. Let d = -43 - t. Let z be d\/(-25) + (-36)\/10. Sort z, -1, -6 in decreasing order.\nAnswer: -1, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**6\/120 - n**5\/4 - 7*n**4\/8 - 19*n**3\/6 - 47*n**2. Is m(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 189588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**6\/3600 + z**5\/600 - 5*z**3 + 2. Let i(u) be the third derivative of j(u). Determine v, given that i(v) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 237*u + 1530.\nAnswer: -3*(u - 6)*(u + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43256672.\nAnswer: 2, 401, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/2, -3\/167, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/(-12))\/(3\/56) and 35\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 8:30 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**2\/3 - 12146*c\/3 - 339304\/3 = 0.\nAnswer: -12118, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + p**2 + 5. Let b be v(0). Let y = -4 + b. Suppose -5*k + 6 = 2*t - 7, -4*k - 4 = -2*t. Solve t*s = -d + 17, d + d = -s - y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 12:19 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2367995.\nAnswer: 5, 7, 29, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 o when four letters picked without replacement from {o: 5, y: 2, h: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-9) - (-7293)\/117?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2. Let c(g) be the third derivative of g**5\/30 + g**2. What is b(c(r))?\nAnswer: -20*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 18*i**2 + 3*i + 46. Determine o(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 10. Suppose -10*m = -s*m - 184. Is m a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - 2*s**3 + 2*s**3 + (470*s - 1790*s + 898*s)*(-s**2 + s**2 + s**2).\nAnswer: -423*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 951\/133 + -144\/19. Suppose 4*z + 7 = 31. Let y be (z\/(-8))\/(1\/(-4)). What is the third biggest value in y, u, 2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 + 14*v + 36. Let c = -18 + 26. Suppose c + 0 = s. Calculate the smallest common multiple of s and i(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2509732 years to centuries.\nAnswer: 0.002509732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 9:32 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**5\/120 - 2*t**3\/3 - 1. Let k(j) be the third derivative of w(j). Let m(p) = 4 - 2 + 2*p - 2. Give k(m(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-108)*-3)\/(3\/6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/162*1*6\/10.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-126)\/(-280))\/(6\/(-10)). Which is the closest to 1? (a) 7 (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqpgqgppgzggq. Give prob of picking 2 q.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 5*k + 15, 5*p + 2*k + 2 = -1. Suppose f = l + 1 + p, -4*l = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 2:59 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**4\/12 - m**3\/3 - 3*m**2\/2 + m. Let l(z) = -z**2 - 2*z - 2. Calculate -3*c(r) + 4*l(r).\nAnswer: -r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)*2)\/sqrt(11) + (1*(sqrt(3) + -2))**2.\nAnswer: -2*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 987586 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4098 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372, 745, 1118?\nAnswer: 1491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 14 - 6 = 0. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5 = 0, -s - 3*s = u - 18. Let z be (-21151)\/6084 - 2*u. Let l = z - -7\/117. What is the common denominator of 7\/16 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*2 + -54 + 85. Solve -79 - k = -27*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46134 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 510, 888, 1000, 714, -102, -1580, -3852?\n\"Answer: -22*s**3 - s**2 + 535*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7b81 + -3?\nAnswer: -7b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 21*i - 8. What is the lowest common multiple of l(-11) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -48, -103, -192, -321, -496, -723, -1008?\nAnswer: -1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 707*l - 24 = 701*l. Put 3, -1, l, 0 in descending order.\nAnswer: l, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 2*r. Suppose r = -2*f - 2*f + 36. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.18 - 0.18. Let v = -5 + y. Let o = -1075.5 + 1080.5. Which is the nearest to 0.1? (a) v (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 29*z - 108. Give h(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-11) + 1440\/176. Solve 3*x + 0*p - 3*p - 9 = 0, -q = 2*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owowywfwwyw. Give prob of picking 2 y, 1 o, and 1 w.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f0b + -41c3?\nAnswer: -50ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43193\/13 or -3?\nAnswer: 43193\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 225814799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r*r*r**11*r*r*r)\/r*r)\/(r**(-10)*r))\/(((r*r*r*r**(-6\/7)*r)\/r)\/r**(3\/14)) assuming r is positive.\nAnswer: r**(351\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 8*q + 9. Let y = -141 - -153. Suppose -x - 4*f = -24, 0 = -y*x + 14*x + 4*f - 60. Calculate the smallest common multiple of h(7) and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20022210100020 (base 3) to base 11\nAnswer: 1996742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9045.851 weeks in hours?\nAnswer: 1519702.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70172 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a = -50*a - 42*a - 3303 + 7083 for a.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 426416 - 1?\nAnswer: 426415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**3 + 1199. Let j(i) = 10*i - 12. Let r(k) = -k + 1. Let g(w) = -j(w) - 12*r(w). What is g(n(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10696047 to four decimal places.\nAnswer: -0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6072 = -2*u. Suppose 3*o = -4*h - 3223 + 201, -3*o + 3*h - u = 0. Round o to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkq when three letters picked without replacement from bqk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1501621.916 - -6.6.\nAnswer: -1501615.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 627 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxrxrxxx. What is prob of sequence xrx?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15 + 1764\/(-120) + (-1761261)\/(-30)?\nAnswer: 7, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45324 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from gtttftg?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -308 (base 14) in base 5?\nAnswer: -4341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*k - 6*w + 20, 3*k - 60 = 3*w. What is the greatest common factor of 128 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 32 - 34 = 0. Suppose -3*a + 7*a + 2*t = 396, 100 = a + t. What is the remainder when a is divided by g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**2 - 174*p - 385. Calculate f(-3).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 - -188. Suppose -4*f - 179 = -3*u, -3*u - 2*f = -151 + 2. Let j = t + u. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*c**2 + 27*c**2 - 64*c**2 + (-c**2 + 0*c + 0*c)*(-3 - 1 + 6) + (0*c**2 - c**2 + 0*c**2)*(2 - 1 + 0) + c**2 + 5*c**2 - 3*c**2 + 2*c + c**2 - 2*c.\nAnswer: -61*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9*q**2 - 18*q. Let d(c) = c**2 - 7*c. Let w(y) = -3*d(y) + p(y). Let i(l) = 10*l. Give i(w(b)).\nAnswer: -120*b**2 + 30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 858 divide 683874799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34604.2 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2038, 3073, 4122, 5191, 6286, 7413?\nAnswer: 8578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35283713 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -2741672.\nAnswer: -3\/2741672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -20\/22535419?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 822c (base 14) in base 9?\nAnswer: 33631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -18 in ascending order.\nAnswer: -18, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*c + 49*c + 7 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + 1)*(b**3 - b**3 + b**4) - 2*b**4 - 3*b**4 + 6*b**4 + (-2 + 2 + b**4)*(-3 - 1 + 2) + 3*b - 3*b - 2*b**4)*(4*b + 218 - 377 - b).\nAnswer: -6*b**5 + 318*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -3, 5, -0.3, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + 11 - 11 + (6 - 2 - 2)*(-4*j + 2*j + j) + (-2 + 3 + 0)*(-2 - 2*j + 2) + 16*j - 8*j + 3*j - 4*j + j + j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from ssyssssssssyssssys?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11596 + 11595.31. What is the second biggest value in 2.1, 1, y, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.011 - 0.012. Let h = o - -21.023. Let k = h - 20.916. What is k rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96 + 88 - 188 + 8*f - f**2 + 2*f**3 + 0*f**2 to l*f**3 + t*f**2 + m*f + b and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5434)\/13832*8\/44*-1?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*k + 33 - 40 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7760 and 178480.\nAnswer: 178480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 3*r - 12, -867*z = -865*z + 5*r - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -458069 - -5?\nAnswer: -458064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + -6 + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6515, 53538, 181527, 430964, 842331, 1456110, 2312783?\n\"Answer: 6747*j**3 + j**2 - 209*j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 27 - 15 = 0. Let o(i) = 18*i**2 - 150*i + 12. What is the least common multiple of n and o(9)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -99 + 75 + (7 - 2 - 1) + 3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2401 is divided by 479?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q - 3*p + 2, 3*p - 10 = -q. Let a(v) = 8*v**2 + 6*v - 1. What is the remainder when a(q) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (4 - (-6 - -5))) + -7 - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.006 - 0.306. Let s = 20 - k. Which is the closest to 0? (a) -2 (b) 0.06 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -147, -609, -1383, -2463, -3843, -5517, -7479?\n\"Answer: s**3 - 162*s**2 + 17*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-5)\/30)\/(2\/(-3)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + h**2 - 25. Let g = 14 - 12. Suppose 7*i = -g*i + 7*i. Calculate d(i).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.077 + 0.527. Let o = 0.55 + m. Which is the nearest to o? (a) -3 (b) 0.3 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.6728095 rounded to two decimal places?\nAnswer: -54.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*7.397.\nAnswer: 36.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 11*f + 17. What is k(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a minute in milliseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 54*x + 742. Determine u(26).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 1667615740*r + 139047112814787380.\nAnswer: 5*(r - 166761574)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 282637996 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/12, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33468 or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -22*m**2 - 548*m + 66. Let l be r(-25). What is the nearest to l in -3, 2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0698 rounded to 1 dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 22. Let i(a) = -6*a - 3. Let y be i(-3). Let l = y + q. Solve 12 = -l*p + 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/5, 1.2, 0.5, -1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d + 73. Let f be r(24). Suppose f = 5*g - p, g - 3*p + 9 = -0*g. Let x(q) = q**2 - 4*q - 7. What is x(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 798\/(-882) - -1*2\/6. Let c = a + -2\/7. Sort c, 6, 0, -4 in descending order.\nAnswer: 6, 0, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -855, -854, -853, -852?\n\"Answer: g - 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - ((-1)\/1 + 2). Let s be 22\/3 + z\/(-6). Let f(u) = u**3 - 8*u**2 + u - 6. What is the units digit of f(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 6. Let g be r(0). Let t be ((-12)\/5)\/((-519)\/865). Solve -g = 3*x, -t*h + 2*x = -x + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7968819889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlrlrr. What is prob of sequence rrl?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13\/3*t + 7\/6*t**2 - 4\/3.\nAnswer: (t - 4)*(7*t + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9))**(9\/2)\/(l**29*l**(-26)) assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + (4 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314200, -314305, -314474, -314707, -315004?\nAnswer: -315365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31104 (base 6) in base 5?\nAnswer: 113034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 404 - -41. Let j = s + -444.809. What is j rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.49832 nanograms to milligrams.\nAnswer: 0.00001549832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o - 3*o - o**2)*(4*o + 140 - 12*o + 6*o) in the form w*o**2 + l*o + z + q*o**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4 + 0*d + 9 + d. Let p be t(-2). What is the nearest to 0 in -0.3, p, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -257, -536, -923, -1418, -2021, -2732?\nAnswer: -3551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8209, -32502, -72875, -129322, -201837?\n\"Answer: g**3 - 8046*g**2 - 162*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 685810388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 15*m + 5. Let a be ((-18)\/(-27))\/(m - (-71)\/69). Find the third derivative of 5*l**2 + 17*l**2 - a*l**5 - 9*l**2 wrt l.\nAnswer: -1380*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3967 (base 13) to base 9\nAnswer: 12217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 + 2*a**2 - 28*a - 42. Determine o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + (2 + -5*3*sqrt(300))*-3 + -4.\nAnswer: -18 + 450*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -690*j + 1368*j - 736*j.\nAnswer: -58*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2, -4.927, -2\/19 in decreasing order.\nAnswer: -2\/19, -2\/3, -2, -4.927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + a**2 + 3*a**2 + 4 + 2*a**2 - 4 + (a + 0*a + a)*(4*a + 2*a - 4*a) - 12 - 3*a**2 + 12 + 19*a**2 + 28*a**2 - 16*a**2.\nAnswer: 37*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z + 11. Let h be c(-8). Let q = h + -3. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2 = -4*d + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2812 (base 14) to base 15\nAnswer: -2167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 2\/4259, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**3 - 19*k**2 + 2*k - 10. Let y be g(-5). Let x be (-1 - -1 - 0)\/2. Suppose x*h + 9 = 3*h. Solve -y = 2*z + 3*b, -h*b = 5*z + 1 - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*x = 23*x + 24*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16864405 at most 16864405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3326867.\nAnswer: 43, 77369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 17 + 6 = 4*x, 5*x = -5*y - 10. Let l be (-3)\/(y - 0) - 3. Let k = 10958 - 10955. Which is the closest to l? (a) k (b) -3\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 761\/4326 + 3\/206. Let s = u - 6\/7. What is the second biggest value in 5, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27010 and 521450.\nAnswer: 1408436450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 18*m**2 - 17*m + 2. Let c be a(-17). Suppose 5*j = c*n - 81, -n + 5*j + 15 = -28. Calculate the highest common factor of 57 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21115 (base 8) in base 4?\nAnswer: -2021031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1293*s + 3874*s - 1283*s - 1291*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3141, -4956, -6771, -8586, -10401?\n\"Answer: -1815*f - 1326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 16 = 3*a. Let t = a + 31. Suppose 4*s - t - 217 = 0. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 4*f**2 - 3*f + 10. Let i be x(-5). List the prime factors of 62 - -1*(i - -1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11049 is divided by 282.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 + 4226914*l\/9 - 4226908\/3.\nAnswer: -2*(l - 2113454)*(l - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (34 + 16 + -41).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3858a + -2?\nAnswer: -38590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 80 or 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 3*k**2 - 3*k - 3. Give r(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 1\/4*q**4 - 1\/2*q**2 - 1 - 2*q + 1\/3*q**3. Let i be r(0). Which is smaller: i or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788535 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -36981 and 261?\nAnswer: 37242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-53)\/(-2) + 2\/(-4). Let d = -37 + 41. List the prime factors of d\/j + 76\/13.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1257 = 3*j, x - 265 = -0*x + 4*j. Let f be 1 - (159 + (-13 - -7)). Let u = f + x. List the prime factors of u.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*w - 2 + 69*w + 4 to the form u*w + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = 4*z. Let i = 59 - 52. Suppose 0 = -5*m + i + z. Let p(n) = 4*n. Determine p(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6788\/3, -3.6, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*k - 2*k. Solve -1 = 4*f + k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7850*x - 371759 + 50491 + 4469 - 264101 for x.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6632 = 96*f - 306*f + 7438 for f.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2057) + (sqrt(2057) - (4 + sqrt(2057) + sqrt(2057)*2)**2)) - 4*(sqrt(2057) - (1 + sqrt(2057)))*-3.\nAnswer: -18541 - 242*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3391 = 103*g - 1434 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 4:40 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r**2 - 2516 - 3*r + 2514 - 2*r**3 + 4*r to the form g*r**3 + m + j*r**2 + s*r and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -2*1) + 1. Let c be ((-3)\/1)\/((-18)\/12). Suppose c*q - o = 5, 5*q - 10 = -o + 3*o. Solve n + u = b, q*b - 9 = n - 3*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 8*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(5 + (-120)\/25). Put 40, -5, a in decreasing order.\nAnswer: 40, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.043986 rounded to 2 decimal places?\nAnswer: -17.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 + -0.2. Let x = 0.04 + -0.74. Let q = x + o. Which is the biggest value? (a) q (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**6\/60 - 401*a**5\/60 - 298*a**3\/3 + a**2 + 696. Differentiate b(h) with respect to h.\nAnswer: 6*h**2 - 802*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -119521003872.\nAnswer: -119521003871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 50*c**2 - 1944*c - 591. Determine m(39).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1273 - 1269. Solve 0 = 2*d - y*k - 10, 7*d - 6*d + 2*k - 1 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2 - 27*x + 23. Let a be 33\/(-2)*(-10)\/15. Is p(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3295843, 3295841, 3295839, 3295837, 3295835?\n\"Answer: -2*b + 3295845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13954297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/(33\/9) + -13. Let r(u) = 3*u + 2. Let h be r(-4). Let g = i - h. Solve g = 2*c - 0*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22134 divided by -527.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/4843 and -32\/1169?\nAnswer: 33901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51370 and 380138?\nAnswer: 1900690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-14) + -1 + 30\/42.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**3 - 4*k + 3. Let m(i) = 8071*i**3 - 8077*i**3 - 37*i + 32*i + 4. Determine -4*h(t) + 3*m(t).\nAnswer: 2*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (2 - (2 + -2)). Let a = -13139\/3 + 4381. What is the second biggest value in n, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 7*v**2 - v - 5. Let n be c(-7). Suppose -5*o - n*i + 25 = 0, -3*i - 21 = -2*o - 6*i. Suppose o*q - 8 = 25. Solve -4*y = q + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + v**2 + 2*v + (-v**2 - 6*v**2 + 6*v**2)*(1 - 3 + 5) + (0*v + 2*v**2 + 0*v)*(3 + 0 - 1).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b - 3*b + 3*b)*(3 + 0 - 2) + 10*b + 10*b + 3*b)*(2*b**4 - 2*b**4 + 2*b**4).\nAnswer: 50*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 22077468189 + 77\nAnswer: 22077468266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -13, 3, 39, 101, 195, 327?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(24) - sqrt(240)\/(sqrt(30)\/sqrt(3)))\/(2*sqrt(768) + sqrt(768) - sqrt(12)))*-3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 41*r - 11*r. Solve -5*k = -4*w - 3, 0 = k - 4*w + 7 + r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-3 + (5 - 4 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + (-409 - -401)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/31 and -693724 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/4, 4.45, 3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -227 + 232. Find the second derivative of 54*t - 9*t**4 + 2*t**h + 13*t**4 + 14*t + 4*t**5 wrt t.\nAnswer: 120*t**3 + 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6171)*2)\/(-2*sqrt(363)) + ((-1 + sqrt(2448))*-4 - (sqrt(2448) - (sqrt(2448) - ((-1*sqrt(2448))**2 - sqrt(2448))))*-3).\nAnswer: -85*sqrt(17) + 7348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*h - 73*h - 2765. What is the smallest common multiple of 10 and h?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 31*a**3 - 3*a**2 + 21*a - 27*a**3 + 51*a**3.\nAnswer: 55*a**3 - 3*a**2 + 19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/1)\/(-46*11\/(-2024)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(3*sqrt(48)).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + 4. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 7}. What is prob of picking 1 d and 1 c?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 409483? (a) 1 (b) 0.5 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 58304614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - ((-15 - 18) + -30).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169888.\nAnswer: 2, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -204006 divided by 6\nAnswer: -34001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*n - 591 = 0, 3*c - 2*n = -0*c + 616. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*b**2 + 4 - 72*b + 6561\/4*b**4 - 1458*b**3 = 0 for b.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 3 + -2 + -3. Suppose -4*w - 7 = r, 5 - 4 = 2*r + 3*w. Sort g, r, 15 in decreasing order.\nAnswer: 15, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2126 is divided by 1029.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(4 - 2 - 3)*(2 - 4 + 0)*(-7*b + 2*b + 3*b).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16493\/2 - 8686. Let k = f + 43067\/98. Let r = k + 120\/539. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 1:52 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29009751?\nAnswer: 3, 19, 508943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.6036 - -0.2989. Let z = -6.9 + p. Round z to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/4 + 89*z**3\/4 - 613*z**2\/4 - 3129*z\/4 + 11907\/2 = 0. Calculate z.\nAnswer: -6, 7, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -691 = 26*y - 795. Solve 3*j + 2*v = 4, y*v - 10 - 8 = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -336*q + 265. Is o(-23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*18\/(-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrxr when four letters picked without replacement from {r: 7, o: 5, x: 2}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/(-54)*(-4 - -4). Solve v = -15*f - 19 + 79 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3991\/7 + -682. Which is smaller: d or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(72) - (0 + (sqrt(72) + -1)**2 - sqrt(72))) + 2 + -4.\nAnswer: -367 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -519175, -519163, -519151, -519139, -519127, -519115?\n\"Answer: 12*v - 519187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09953 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6)*3 + 8. Suppose -63 = y*o - 28. Let k(c) = c**2 + 5*c - 2. What is k(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 535 divide 610033215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**4\/4 + 3*g**3 + 2*g**2 + 3*g + 16. What is the tens digit of h(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1773507*p - 5.\nAnswer: -1773507*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1443 and 41\/286.\nAnswer: 31746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 21 = -3*v, 2*q + q - 2*v - 1 = 0. Suppose q*u - 439 = 5*p + 280, 2*u = 2*p + 474. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44182 is divided by 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 128390, 4, 350 in ascending order.\nAnswer: 4, 350, 128390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 658893 divided by 4673?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.82772 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oakzkzozkdkdakk. Give prob of picking 2 a and 1 k.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 587 and 714379.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -6, 7, 39.12, 1\/3 in ascending order.\nAnswer: -6, -0.2, 1\/3, 7, 39.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-165))\/((-5*(-6)\/60)\/(-1)).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (7 + 12 + -32) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 + f. Let i be u(-1). Let w = -5569 + 5572. Suppose -2*m + i*n + 23 = 0, -7 + w = 4*n. What is the least common multiple of 8 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l + 4. Let n be k(-1). Suppose 0 = d - 1 - 0, -2*p - 4*d = -n. List the prime factors of 615\/(2 + 1) + (-6)\/p.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148\/(-185) + (-23138)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 113*q - 688. Let m be w(7). Solve 92*a = m + 455 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -18, -13 in ascending order.\nAnswer: -18, -13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1051 or -0.3447?\nAnswer: -0.3447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160127698*k - 410*k**2 + 80063853*k + 80063845*k.\nAnswer: -410*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 17*x**2 + 27*x - 162. Let k be d(18). Solve 11*c + 5 - 5 = k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1128\/5124 - (-4 + 120\/28). What is the smallest value in -1\/2, c, 3\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*t + 210*t + 31*t - 86*t.\nAnswer: 356*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3091 rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 63*z + 263. Let m be j(4). Solve -q - 220 = m*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 9*j + 11. Let t be (-51)\/3 + 5 - -4. What is l(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2. Let l(z) = -93*z**2 + 6*z + 959. Give l(h(a)).\nAnswer: -837*a**4 + 18*a**2 + 959","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve -452 = -160*u + 28*u - 5732 for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1423, 1394, 1363, 1330?\n\"Answer: -r**2 - 26*r + 1450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17.3 in 4\/7, 3\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000049027 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 107 + 46 - 129*o**2.\nAnswer: -129*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 87535 to the power of 1\/2, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1102 = -b - 5*l, 0 = 3*l + 12. Calculate the smallest common multiple of b and 5.\nAnswer: 2705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 702557*-49.\nAnswer: -34425293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3456684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -162*l**2 + 196*l**2 - 79*l**3 + 80*l**3 + 228 + 32*l. Is s(-31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -318, 756, 2510, 4944?\n\"Answer: 340*n**2 + 54*n - 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 164. Give b(-17).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 816 - -3450. Calculate the greatest common divisor of k and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.148300519 + -0.1483. What is q rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 10*p**2 + 8*p - 12. Let n be k(9). Is -4 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 174544.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 826, 826, 828, 832, 838?\n\"Answer: z**2 - 3*z + 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 114 = 5*b, b = -2*b + 5*n - 76. Let p(j) = 4*j + 5. Let f(z) = -15*z - 19. Let o(x) = b*p(x) - 6*f(x). Let d = -153 + 149. What is o(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 6*t**2 + 13*t - 34. Let p(g) = -2*g**2 - 2*g + 2. Calculate 3*p(b) + w(b).\nAnswer: -b**3 + 7*b - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyfyfrfobboffyroofo. Give prob of sequence frro.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3092 a factor of 1287924370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 564*u - 66774. Determine l(119).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133485791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 835627579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -73038.7867 rounded to the nearest ten?\nAnswer: -73040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -5.04. Let k = b - 0.04. Sort -5, k, 5 in descending order.\nAnswer: 5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -182, 3\/5, -135\/8, 0, 1\/3?\nAnswer: -135\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from gllccsi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 894559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58670404 a multiple of 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -4. Suppose 6 = t + k. Let q = t - -12. Calculate the greatest common divisor of 112 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 5*m + 23 + 13 = 0, -4*i + 24 = 5*m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/6 (b) -368 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4049 - -4110.14. Let u = -70 + g. Round u to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0219 times 0.3?\nAnswer: 0.00657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 - 4*u + 2. Let z(c) = c**3 - c**2 + 1. Let v(l) = j(l) - 2*z(l). Factor v(k).\nAnswer: -2*k*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 7:23 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 45*g - 54. Let i be t(-3). Which is smaller: i or -188?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5458*q - 1231*q - 3262*q + 3 - 5.\nAnswer: -9951*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 26*v - 79. Let n(t) = -3*t + 13. Let i be n(12). Let r be g(i). Let u(q) = -q**3 - 10*q**2 - q - 6. What is u(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 68 + 22 = 2*q, 4*l - 72 = 2*q. What is the remainder when 64 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + o - 6. Let s(v) = -5*v**2 + 2*v - 83. Calculate -b(q) + s(q).\nAnswer: -4*q**2 + q - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 2*z + 18189. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -422*y**3 + 117*y**2 wrt y?\nAnswer: -2532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a + 0*a = 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345 = 2*m - 353 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82302.38mg in micrograms?\nAnswer: 82302380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 1, x: 4, g: 4}. Give prob of picking 1 x and 1 o.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 - -0.42. Let j = w - 0.7. Which is smaller: -2\/23 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 4. Let k = 15 - 20. What is the units digit of x(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344784?\nAnswer: 2, 3, 11, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2421659*o. Let j(v) = 24*v. Calculate f(j(r)).\nAnswer: 58119816*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2936911*c + 221178413 wrt c.\nAnswer: 2936911","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4615291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(1*sqrt(1584) + 5 - sqrt(1584)) + 1 + 5 + -1*sqrt(1584))**2*-6.\nAnswer: -7920*sqrt(11) + 51150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 - 1.1. Let k = f + 1. Which is the closest to k? (a) 3\/7 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7053 - 7053. Solve 2*m - 11 = -5*t, 2*m + 2*m - 12 = a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 235 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -10) + 12 + 18\/(-5)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 divided by 10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 77*t + 698. Determine d(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -17*f**3 + 55*f + 0 + 0 + 44*f - 8*f**2 - 91*f. Let q(x) = -x**3 - x**2 + x. Give -3*a(y) + 24*q(y).\nAnswer: 27*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 4 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-54)\/22)*57\/(-418). Let q(b) be the second derivative of 3*b - 3\/10*b**5 + 1\/5*b**6 + 0*b**3 - 1\/21*b**7 + 0*b**2 + 0 + g*b**4. Factor q(w).\nAnswer: -2*w**2*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 12:18 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(-r**2 + 0*r**2 + 0*r**2) - 3*r**2 + 6*r**2 + 43*r**2 + (0*r + 0*r - r)*(4*r - r - 2*r) to the form n*r + q*r**2 + d and give q.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - h**2 + (-3*h - 2*h + 3*h)*(-4 + 4 + 5)*(0*h + 5*h - 4*h))*(1 - 11 - 8) to the form x*h + g*h**2 + w and give g.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n - 28. Let z be w(-7). What is the units digit of (6\/z)\/(6\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -17, -3, -2, -0.058 in descending order.\nAnswer: -0.058, -1, -2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 59271075.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l + 16*l - 48*l + 19*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.62 + -1.62. What is the nearest to s in -5, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1415.6 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-238)\/510)\/((-16)\/240). Let w(j) be the second derivative of 196*j**3 - 1 + 2744*j**2 + 1\/10*j**5 - 15*j + l*j**4. Factor w(y).\nAnswer: 2*(y + 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-4)\/(w\/((w\/((w\/(w\/w**0))\/w))\/w))**(1\/9) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5350 is divided by 122?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 762609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**2 - p**2 - 2*p**2 - 43*p**2 - 2*p**2 + 10*p**2 + (-p - 4*p + 6*p)*(-p - p + 0*p) + 3*p**2 + p**2 - 5*p**2.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, s: 6, e: 1, f: 2}. What is prob of sequence fk?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.571584 minus 0.1?\nAnswer: -24.671584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 1 + 2 - 12 - 14*s**2 as p + t*s**2 + w*s and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 1892, 1156 in descending order.\nAnswer: 1892, 1156, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -106, -146, -224, -352, -542?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -743\/63 - -81\/7. Which is the closest to z? (a) 5\/3 (b) 1 (c) -5\/2 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -543\/2381?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 499\/55?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - -1.97. Let n = -0.15 - -1.15. Which is the nearest to n? (a) -1 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 52*n + 158. Determine d(48).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -22. Which is the closest to -1? (a) 4 (b) 2\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142406 + 128844\nAnswer: -13562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.78329937776 + -1.7833. What is g rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -134898600\/17 not equal to -7935211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (7 + (-1 - 2)) - 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -1\/2*h**3 - 3*h + 0*h**4 + 0*h**2 + 0 + 1\/240*h**5 + 1\/360*h**6. Let p(v) be the second derivative of x(v). Factor p(d).\nAnswer: d*(2*d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 308462*r**4 + 8146 wrt r?\nAnswer: 1233848*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11329 + -11325. Which is the biggest value? (a) i (b) -3\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-8))\/((v**(-7)*v)\/v)*(v\/v**(-7))\/(v*v\/(v**10*v)))**(-30) assuming v is positive.\nAnswer: v**(-990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -671576 or -4701022\/7?\nAnswer: -4701022\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -35. Let p(f) = f**2 + 2*f - 4. Let y be p(r). Suppose -5*z = -y*z + 222. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12366\/19 - -651. Let n = -14 + 76. Suppose -53*h + n*h = 9. Which is smaller: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r - 24 = 0. Let s = r + -3. What is the highest common divisor of 2 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 21. Let s = x + -17. Suppose 2 = -2*v, 37199997 = s*a - a + 3*v. What is a rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/4 + 23*x**3\/4 + 39*x**2\/2 - 155*x + 182.\nAnswer: (x - 2)**2*(x + 13)*(x + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/(((-2)\/(-3))\/(-6*(-880)\/(-1080)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/463360883?\nAnswer: 3\/463360883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 8*a - 14. What is t(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 10679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 689205 from -2.\nAnswer: -689207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**2 - 3*m + 3*m + 5*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9514884*l**6 + 17786*l**2 + 57 wrt l?\nAnswer: 1141786080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(117) - (3 + sqrt(117)*2))**2 + (6*sqrt(91)\/(sqrt(42)\/sqrt(6)))**2 + -2.\nAnswer: 48*sqrt(13) + 2342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -9*w**3 - 286. Let l(n) = 17*n. What is f(l(j))?\nAnswer: -7803*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25055 + 120?\nAnswer: 25215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8*p**2 + 106. What is the tens digit of a(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 2349 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1018665 is divided by 20786.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 544926064 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = q + 2*t - 565, -q + t = -559. What are the prime factors of q?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4927970 and 1971188.\nAnswer: 9855940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/((-4)\/3))\/(108\/(-144)). Suppose 5*l = -5*o + 260, -3*o + 2*o + 56 = w*l. What is the remainder when 95 is divided by o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19656\/56)\/117*(-13)\/(-3)*-2\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6539223 less than 6539224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 151, 476, 1069, 2008, 3371, 5236, 7681?\nAnswer: 10784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1432\/(-1074)*(91\/28 + (0 - 2)*1)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-3)*(1 - -2). Suppose -7*h = -2*h. Sort w, 3, h in descending order.\nAnswer: 3, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**6\/300 + 2*p**5\/25 + 17*p**4\/60 - 2*p**3 - 3*p**2 - 53*p - 11. Suppose v(g) = 0. Calculate g.\nAnswer: -10, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-3)*(-3)\/36)\/(-1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 1160*u**2 + 5*u - 6*u + u - 1156*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-6))\/(6\/153). Suppose -j + 95 = -3*g. What is the tens digit of (g\/4)\/(1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 + 4 - 4)*(5 - x - 5) to i + m*x and give m.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -7*q + 5*q. Suppose -2*a + 56 = 5*v - 9, -q = -3*v - 3*a. Calculate the remainder when v is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-39)\/(-33) - (-4)\/22. Suppose 23*o - 27*o + 12 = a. Let y(f) = f - 3 + 1 + o. Let s(k) = 3*k**2 + 2*k. Give -s(i) + 2*y(i).\nAnswer: -3*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from kkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d - 5*b + 54 - 26 = 233, -3207 = -5*d - 4*b - 3311 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 4. Let f be u(-5). Let k be (f\/8*2)\/(45\/(-60)). Solve 0*c = 2*c - a + 5, 5*a - 25 = -k*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 28*p + 29. Let f be x(-27). What is the highest common divisor of f and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w + q - 46 = 3, 0 = 2*w - 0*w + 4*q + 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((-19)\/5 - -4). Sort 0.4, 4, z.\nAnswer: z, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1077 - -1.2787. Let l = -2.897 - u. Let v = l + 0.068. Put 0, 6, v, 1\/2 in decreasing order.\nAnswer: 6, 1\/2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**8\/336 + q**5\/20 + 3*q**2\/2 + 3. Let t(m) be the second derivative of g(m). What is the third derivative of t(i) wrt i?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001 - 10100001111110101010011?\nAnswer: -10100001111110101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9 + 21*d**2 + 19*d**2 + d + 19*d**2 - 2*d**3 - 58*d**2 - 10. Determine o(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**2 + 868*k + 328 wrt k?\nAnswer: 2*k + 868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 - 8 + 8 + 3 + p**2 - 3 + (-4*p + 6*p - 4*p)*(2*p + p - 4*p) - 2*p**2 + p - p + (-p + 2*p - 3*p)*(4 - 4 + p) - p**2 - 8*p**2 - p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(64\/(-6))*(-22)\/(-8580)*-40.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -128.3*0.3\nAnswer: -38.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 - 0)*1\/2. Let p(f) = -c*f**2 - 30*f + 30*f. Let k(d) be the third derivative of -d**5\/60 - 6*d**2. What is k(p(r))?\nAnswer: -25*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 501209 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 175820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 17\/2*z**2 - 1\/3*z**3 + 13 + 4*z. Let h be b(17). Solve 0 = j - h*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41372.\nAnswer: 2, 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, 0.4, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16804?\nAnswer: 2, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*v - 123 = -0*k, 5*v = -4*k - 129. What is the units digit of (-4)\/(-18) + (-1432)\/k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r**2. Let z = 2 + -15. Suppose 5*x = -13 - 17. Let j(m) = -4*m**2. Let n(k) = x*y(k) + z*j(k). Let l(v) = -v. What is n(l(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2093*h - 52406. Determine w(-25).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 2*b + 9. Let m(a) = -2. Let h(u) = -m(u) - y(u). Calculate h(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 750?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -30*y + 4. Let z(r) = -250*r - 711*r + 121 + 59*r. Let i(c) = -121*g(c) + 4*z(c). Let q(u) = 4*u. Calculate q(i(v)).\nAnswer: 88*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14599 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 2:04 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**4\/6 - 2*g**3\/3 - 3*g**2\/2 - 3*g. Let n be 2 + -8 + 1 + -3. Let y = 6 + n. Calculate d(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2110*w**2 + 10552*w**2 - 2112*w**2 - 2115*w**2 - 2108*w**2 - 2120*w**2.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 11:36 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 9 = -3*r, -4*u - 6 = -5*r + 3*r. Suppose 5*k + r = j + j, -5*j = 5*k - 60. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2012 + -3?\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 - -101. Suppose -2*l = 2, 0*w - 4*l = -3*w + m. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22104 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 504578.7 centimeters to millimeters.\nAnswer: 5045787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 l, and 1 r when three letters picked without replacement from {r: 2, q: 1, l: 2, b: 1, s: 2, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*c - 56*c - 47*c + 187*c - 48*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 405, 1, -4\/3, 0.047, 5 in decreasing order.\nAnswer: 405, 5, 1, 0.047, -4\/3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53966 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: Is 59 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 120?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m - m**4 + 4*m**2 - m**4 + 123*m**3 - 122*m**3 to u*m**3 + b*m**2 + s + y*m + z*m**4 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = 0, -5*j + u = -4*u - 10. Let f be ((-4)\/(-6))\/(2\/36). Suppose -3*p - f = -15. Solve j*m = -9 - p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -34*w**2. Let t(a) = -30092*a + 1. Determine t(h(g)).\nAnswer: 1023128*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15050 and 1810?\nAnswer: 2724050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 792 and 15?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 142 (base 6) to base 4\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -21532111?\nAnswer: -21532112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1096*s**2*z**3 - 14*s**2*z**2 - 129*s*z**3 - 13*s*z**2 - 2*s + 2*z**3 - 2*z**2 - 13*z wrt z?\nAnswer: 6576*s**2 - 774*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*1*1*1*sqrt(11)*2 + -5 + -4)**2.\nAnswer: 540*sqrt(11) + 2385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -18*v**2. Let l(g) = 490*g**2. Give p(l(b)).\nAnswer: -4321800*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.94\nAnswer: 0.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9902.999 millilitres in litres?\nAnswer: 9.902999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*x**2 + 4*x**2 - 8*x**2 + 1 to z + d*x + v*x**2 and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-13) - (-12 + (-21340)\/130). Which is smaller: t or 527\/3?\nAnswer: 527\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**2 - 5*x**2 - 2*x**2)*(-3*x + 5*x - 4*x)*(27 - 52 + 82 + 13) to the form j*x + a + u*x**2 + f*x**3 and give f.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -85, 2, -4, 3, -8 in ascending order.\nAnswer: -85, -8, -4, 2, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1971423 - 5?\nAnswer: 1971418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*g = -71, 0 = -5*y + 2*g + 114 - 1. Let n(q) = 6*q. Calculate the remainder when y is divided by n(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7)\/p*p)**(-42)\/((p*(p**(2\/5)\/p)\/p)\/p*p*p)**(-1) assuming p is positive.\nAnswer: p**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3109 + -3107. Let d = 0.14 - 0.04. What is the fourth smallest value in -0.3, x, 0.3, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-17))\/(1216\/10336).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4051 (base 7) in base 9?\nAnswer: -1834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 177.7 to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**2 - 10*i**2 + 15*i**2 - 2*i**2. Suppose -2 = -5*s + 2*n, -3*n + 22 = 3*s + 2*s. Let v(z) = -20 + 20 - s*z. Determine v(q(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000011 + -100110010100011010?\nAnswer: -100110011001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1320\/(-90) + 14)\/((-32)\/432).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -913\/111860 + 3\/1316. What is the common denominator of v and 5\/136?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 170, 257?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -431 (base 8) in base 16?\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*b**2*w**3 + 80*b*w**3 + 19*w**3 - 148 wrt b.\nAnswer: -54*b*w**3 + 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 15*b + 10*b = 238. Calculate the lowest common multiple of 450 and b.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-12))\/(((-4)\/15)\/2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y. Let s(p) = 3*p. Let j(n) = 4*a(n) + 3*s(n). Let b(x) = -9*x. Give j(b(v)).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 64. Suppose -5*i + 3*t = -y, 0 = -t - 4*t - 5. Sort 5, i, -2 in decreasing order.\nAnswer: 5, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 4:23 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79031076 or -79031075?\nAnswer: -79031076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 792311 and 16874.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1241)\/18615)\/(1\/21).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 3:56 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3939 + 107?\nAnswer: 3a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -0.1. Which is the nearest to 0? (a) -0.2 (b) s (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 292146404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.7 - 12.7. Let c = -499 - -500. What is the nearest to k in 2\/5, c, -3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99474 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 43*j = 360 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -146*z**2 - 217*z**5 + 64*z**5 + 62*z**2 wrt z.\nAnswer: -9180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*a = -a + 106, 5*a = -3*s + 155. Let d = 4 + 4. Suppose -3*p + d = -7. Calculate the highest common divisor of s and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -655?\nAnswer: -655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(8\/(-3)) + (-10)\/(-20). Let t = 20 - 9. What is the remainder when 21 - (-5)\/(-3 - y) is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4360831 and 14524?\nAnswer: 17443324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 2521350990*g - 2521350990*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(5*g - 3 + 3) - 9 + 6 + 1 + 3*g to the form n*g + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + 5*q**2 - q**3 - 4*q**2 as w + m*q + v*q**2 + j*q**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -58*(-3 - (-5)\/2). Let r = u + -148\/5. Let y = -1.3 + -2.7. Put 0.5, r, y in ascending order.\nAnswer: y, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -568 - 486 = -2*h - 2*u, -5*u = -3*h + 1613. What are the prime factors of h?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304 and 180652.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58213?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1 (c) -12 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, 4 in decreasing order.\nAnswer: 5, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*z - 731 = -1632 - 2340 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 8. Suppose -5*f = -3*p + 366, k = -2*p - 5*f + 237 + 7. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 450366.6 hours?\nAnswer: 1621319760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + g + 8. Let n be b(0). Let z be (2\/(-12))\/((-3)\/n). Is z greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33041 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(275) + -3).\nAnswer: -6 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*6\/(-9)*(-180)\/(-120).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-8 + 7 + -12 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -3. Let f be 6\/(-3) + 0 - -3. Let w be -139 - (-1 + t - f). What is w rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1881?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szzzzziizisziz. Give prob of sequence szzi.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*l - 1060, -l - 2*m - 424 = -3*l. Suppose -283 = -5*b + 4*f + l, f + 290 = 3*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k + 1. Let b be c(-1). Let t be (-2)\/4*100\/(-25). What is the first derivative of -5 + b - 3 + t*z**4 + 4*z**4 wrt z?\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3829, -3620, -3413, -3208?\nAnswer: -3005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169\/801 + -1\/89. Let c = -2.6 + 1.7. Let m = 1 + c. Which is bigger: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2738 + 284733\/104. Let f = b - 5\/26. Put -0.2, f, -5, 1\/2 in descending order.\nAnswer: 1\/2, -0.2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 181*g**2 - 3*g - 21771*g**3 + 43544*g**3 - 21771*g**3 to the form y*g**2 + z*g**3 + o*g + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 6*l + 5*i = -390 + 106, 5*l - 2*l + 17*i = 213 for l.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 870 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4566 and 121\/18264?\nAnswer: 18264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.641246 to zero decimal places.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(243) + -4 - sqrt(3)) + (sqrt(3) + -4 + sqrt(3) + -1*sqrt(3))*-6.\nAnswer: 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/2 - 2395*s**3 - 6426253*s**2\/2 - 826548030*s - 59551836498 = 0.\nAnswer: -2241, -154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gggggggggggwggg?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 21\/397, 1, -0.2, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 4:58 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 11*u + 13. What is the units digit of g(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - 3*m**2 + (1 - 2 - 2)*(7 + 4*m**2 - 7).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 10:43 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**3*u + 1241*i**3 - 126*i**2*t**3*u - i*t**3 + i*t*u wrt u.\nAnswer: -i**3 - 126*i**2*t**3 + i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/2731 - -5145214\/13655. Let q = z - 374. Determine r, given that 88\/5*r**2 - q*r**3 + 4 - 94\/5*r = 0.\nAnswer: 2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 11:38 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -537, -437, -337, -237, -137, -37?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.1 + 21. Let o = q - -2. Is o less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93 times -1105\nAnswer: -102765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2092, 2249, 2444, 2695, 3020, 3437, 3964, 4619?\nAnswer: 5420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**3\/3 + 94*m**2\/3 - 1360*m\/3 + 5600\/3 = 0.\nAnswer: 7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.38? (a) -792 (b) 12 (c) 1 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 6*n**2 + 16*n + 4. Let z be m(-8). Find the third derivative of -12*f**4 + 20*f**z + 8*f**4 + 31*f**2 - 3*f**2 wrt f.\nAnswer: 384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.027, -2\/17, 6, -58215, -0.4 in descending order.\nAnswer: 6, 0.027, -2\/17, -0.4, -58215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(3\/8) + -16 + 16. Suppose 473 + 407 = -t*i. Which is greater: i or -109?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11255 + 2103 = -5*g + 181*g for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 20001 = d, 5*d + b = -0*b + 99981. Suppose d = -2*l + i, -l - 3*i = -0*l + 10012. Round l to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s = 0. Let q = -101 + 107. Solve s = n - q*n - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*a + 131. Let f be 2 + -1 + 86\/2. Let y = a + f. What is the remainder when 58 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -315\/2 + 156. Put x, 0.1, 3 in decreasing order.\nAnswer: 3, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2207*i + 280847 = -4699*i - 92077 for i.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 5*y**2 + 2*y + 18. Let p be j(-5). Let n(u) = 3*u - 22. Let f be n(p). Let o(c) = 38*c - 39*c + 3 - f. Calculate o(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-16)\/p*p)\/p)\/p)\/(p\/p**(-5))*((p*p**(4\/11))\/p*p)\/(p*p\/(p**(10\/11)\/p)))**(-40) assuming p is positive.\nAnswer: p**(10440\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-20 + 10 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/((-111)\/74*4\/(-42)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, -133, -686, -1433, -2356, -3437?\nAnswer: -4658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:11 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1329, -1338, -1349, -1362?\nAnswer: -1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29721*w**4 - 26*w**3 - 3*w**2 - 2*w - 20294322.\nAnswer: 356652*w**2 - 156*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, -2\/5, -1\/5, -5, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 279 - 280 = -3*s, -2*i + 3*s = -13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t - 2. Let j(n) = 301*n + 7. Determine -3*c(q) - j(q).\nAnswer: -283*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*p - 9 = -2, -3*r = 2*p - 12. Let d = 18 - 14. Suppose -2*m - 5*l + d = -0, -m - 4*l = -2. Calculate the greatest common divisor of r and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - 37 - (-458 + 455)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7654010053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 116796026.\nAnswer: 116796040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*-1221*16\/6864?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7442.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 - 6*r - 6. Let l(n) = -7*n**2 + 13*n + 13. Let p = -20 + 14. Let c(g) = g**2 + 7*g - 7. Let i be c(-6). Calculate i*q(w) + p*l(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1385 is divided by 71.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5551, -2, 3, 4, 2 in descending order.\nAnswer: 12, 4, 3, 2, -2, -5551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 - 3*c**4 + 2*c**4 + (1 + 1 - 4)*(-c**4 + 2*c**4 + 0*c**4) + 7*c**2 - 7*c**2 + c**4)*(253*c + 258*c + 732 - 510*c).\nAnswer: -3*c**5 - 2196*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(192) + 1 + sqrt(192) + sqrt(192)*1*1)**2*-3 - (-5*(sqrt(192) + (2 + sqrt(192)*2 - sqrt(192)))*-1)**2) + 2.\nAnswer: -24485 - 1744*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -e?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10.1 in -1\/5, -115, 2\/639?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-9)*(-321)\/(-428).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.47 (b) 1\/2 (c) -1 (d) -2975 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42918*x + 21772 with respect to x.\nAnswer: -42918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 3*k + 7 = 0, z + 5*k = 5 - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-7 + 1)) + (1 - (-5 - -6))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -179*b**3 + 2*b**2 + 2*b - 1. Let o(y) = 717*y**3 - 9*y**2 - 9*y + 4. Determine 9*c(r) + 2*o(r).\nAnswer: -177*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -10)\/(55\/(-1760)*16).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*p = 3*p - 16, 4*p - 8 = 0. Let j(x) be the first derivative of 0*x**w + 0*x + 2\/5*x**5 + 0*x**3 - 1\/2*x**4 - 3. Solve j(k) = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/11730 and 71\/1104?\nAnswer: 93840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.077 - 3.277. Let r be (-180)\/7 - 4\/14. Is k less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.146 or 37\/25?\nAnswer: 37\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -5*c**4\/24 + c**3\/6 - 4*c**2. Let b(h) = 6*h - 2. Suppose 0 = x + 2*l + 7, -5*x + 2*l + 0*l = 11. Determine x*b(z) - 4*y(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5424.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -52. Is y equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.1 and 235277150.6.\nAnswer: 235277151.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 0 + 0*q**4 + 0*q + 1\/60*q**5 - 4\/15*q**6 + 0*q**3 + 14*q**2. What is the remainder when x(-1) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 4165*m**3 - 5*m + 833*m**3 + 2*m - 4991*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/24*54\/(-45)*55?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 42336 = 5*g - 2817, 5*g + 3*i - 45133 = 0. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaba.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (334428\/4805)\/(63\/(-35) - -3).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 7 = 4*t, -3*c + t + t = 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.2*156.1983.\nAnswer: -8309.74956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/30 + -72 + 184642\/2580.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -19*v + 24. Let g be i(1). Suppose t = -5*x - 27, 2*t + 3*x - 3 = -22. Let k = -7 + 7. Which is the closest to 0? (a) k (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.06 or -3\/26?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -7*y - 8. Let q = -6 - y. Let g be (-46)\/(-10) - q\/10. Solve -d - g = -0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -36\/200515 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -5)*(-1 - 0). Suppose -34*j - k + 6 = -35*j, -5*j + 20 = 5*k. Let r(m) = -2*m - 7. Let b be r(-5). Put j, g, b in decreasing order.\nAnswer: g, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 4) + (2 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3745)\/(-150) - 1\/(-5) and 137\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m + 20*m**2 + 18*m - 29*m.\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8942 - 8928. Solve -20*b + 46 = -v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 bigger than 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -37554740319 - 545?\nAnswer: -37554740864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29633, 30467, 31301, 32135, 32969?\n\"Answer: 834*i + 28799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62 - 2664?\nAnswer: -2602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 707960 and 3330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -2\/11, 20, -1, 2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.305 + -153.305. Let y = u + 153.2. Let c = -19.73 - -20. Which is smaller: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49702811 > 49702812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a - 16*a - 2*a**2 - a**3 + a**2 + 6*a to f*a + u*a**3 + c + s*a**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - s = 70, 3*p - 2*s = 25 + 10. Are p and 68\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvnvvvnnvvnnn. Give prob of sequence vvvv.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*j = 31 - 19, 14 = -2*y + 3*j. Let n(x) = -11*x**2 + 2. Determine n(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -15347*l - 429702. Give c(-28).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54618?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33084 divided by 16542.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 265521, 0.014, -0.4 in decreasing order.\nAnswer: 265521, 0.014, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264893 divided by -6?\nAnswer: -421631\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**3 - 10*g**2 - 4. Let t(d) = -d**3 + d**2 + 1. Let n(b) = o(b) + 4*t(b). Find the third derivative of n(j) wrt j.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4445553101.\nAnswer: 11, 19, 21270589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75260 and 26500.\nAnswer: 1881500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giigggggiggg. Give prob of sequence ii.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 0*l**5 - 1\/24*l**6 + 0 + 1\/8*l**4 + 6*l**2 + 0*l + 0*l**3. Find the second derivative of t(x) wrt x.\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 448993.289008.\nAnswer: 448993.389008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.13 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 15. Let f = a + -10. Sort -1, -4, f in descending order.\nAnswer: f, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -141, -201, -265, -333, -405?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 - (12 - (-3 + -7 + (87 - 73)))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(245)*1)**2)*-6.\nAnswer: -1488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5\/7 + 17*s**4\/7 + 1306*s**3\/7 + 184*s**2 = 0. Calculate s.\nAnswer: -28, -1, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 11.29, -6, 3\/5, -3, 0.5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163\/4 + 41. Let z = 848 + -847.5. Suppose 12*r - 10 = 17*r. Which is the nearest to y? (a) 4 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 195064377, 195064379, 195064381?\n\"Answer: 2*g + 195064375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.8 and 199126654084.\nAnswer: 199126654085.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -31. Let l(a) = -a**2 + 7. Suppose 4*i = 5*i. Calculate the remainder when w is divided by l(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 - (-2 + (21 - 9) + 8).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/81*(-585)\/(-78) - 4\/(-1)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 1 - (-19 + 17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41823714300 - 0.7.\nAnswer: -41823714300.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 112, 225, 328, 415, 480, 517, 520?\n\"Answer: -a**3 + a**2 + 117*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*0\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -13, 0.4, -2, -0.4, -323?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - 92\/(-48))*444\/(-54) and 145\/234.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82831 + -44992. What are the prime factors of f?\nAnswer: 3, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 131*f - 18. Suppose 26*i + 20*i - 230 = 0. Is j(i) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 594*q**3 - 51*q + 2 wrt q?\nAnswer: 3564*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 16*m**2 - 16*m - 1. Determine c(-17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.36043, 6, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 25 = 2*t. Suppose 0 = -l + 5*l - t. Suppose -a = -10 - 14. What is the remainder when a is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 115339?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3712, 3728, 3770, 3850, 3980?\n\"Answer: 2*x**3 + x**2 - x + 3710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-187)\/(-68) + -3 + 0. Suppose 3 + 4 = d. Suppose -2*c = -3*p - d, -2*p + 3*c - 14 = -p. What is the closest to r in -1\/7, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + a + a + 7)*(-1 + 5 - 8)*(5 + 4 - 1) in the form s + m*a and give m.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*k, -3*q - 2*k + 14 = 5. Let h be (4 + -1 + q)\/1. Suppose 5*b + 16 = -3*g, -h*b - 8 + 3 = 5*g. Solve -g*v - 3 - 12 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36.879 + -42.18. Let w = u + 0.301. Which is the nearest to 1? (a) -2\/5 (b) 2 (c) w (d) 0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567303234 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, 64, 5\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18205 divided by -1\nAnswer: 18205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, g: 7, v: 4}. What is prob of sequence ngg?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -86 and -5.349.\nAnswer: -91.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus 0.01098376?\nAnswer: -0.06098376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 7*s**2 + 10*s + 12. Let b(h) = 3*h - 2. Let z be b(-2). Let i be r(z). What is the remainder when 25 is divided by ((-42)\/i)\/(9\/12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263, -1053, -2369, -4211, -6579, -9473, -12893?\nAnswer: -16839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 21*p. Let v = -87 + 97. Let l(x) = -4*x + 0*x + v*x - 5*x. Give l(c(h)).\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 190 = 94. What is the remainder when o is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(3 - 2))\/(-2). Suppose d = -s - 0*s + 2. Let r be 2 + 18\/s - 0. What is the greatest common factor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577626 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v - v)*(-4*v + v - 3*v + (-1 - 2 + 1)*(2*v + 4*v - 5*v) - 2 + 2 - 2*v + 1 - 2*v - 1).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-27))\/((-1)\/3). Let v(w) = -w**2 - 9*w + 10. Let r be v(-10). Is h <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 9:34 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**2\/9 - 6113084*d\/9 + 12226184\/9 = 0. Calculate d.\nAnswer: -1528273, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v - 36*v - 12*v**3 + 20*v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lei when three letters picked without replacement from {i: 2, f: 5, e: 1, l: 1, w: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - 0) + -37 - (1 + -18).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.26446703 rounded to two dps?\nAnswer: 3.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2487*w**3 + 166*w**2 + 772527*w.\nAnswer: -14922*w + 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 + 0.08. Let q = 0.04 - m. Which is the biggest value? (a) 0.4 (b) q (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 1540?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/4 (b) -0.5 (c) 85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 4 - -34) + 3. Let f = -8 + c. Let u = 29 + 24. Calculate the remainder when u is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s - 1 = -2*o, 3*o + 9 = 2*s. Let l = -5 - o. Let u(j) = 2*j + 6. What is u(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**(5\/9))*r*r**(-2\/9) assuming r is positive.\nAnswer: r**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -706*g + 47*g**2 - 47*g**2 + 707*g - 2*g**3 - 17*g**4 + 307 to l*g + j + z*g**3 + y*g**4 + h*g**2 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 5*c**2 + 10*c + 3. Let y be k(8). Suppose -42*w = -47*w + y. Let q = 10 - 5. What is the highest common divisor of q and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 371*i - 232*i + 321*i)*(1 - 1 + 1).\nAnswer: 460*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 76*a = -71*a + 4, 2*a - 10 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 374, 148, -78?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 2*q = 5*p - 97, 4*q = 5*p + 61. Let r(s) = -29*s - 7. Let l(x) = 88*x + 20. Determine p*r(t) - 6*l(t).\nAnswer: -35*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.87 + -20.03. Let x = n - -23. Let o = 2 + -1.5. Which is the biggest value? (a) x (b) o (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392812 at least 392813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3)**(2\/19)\/(n**(-1\/5))**(1\/33) assuming n is positive.\nAnswer: n**(1009\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-41 + 153)*-2*(-17)\/(-20). Let s = c - -191. What is the third biggest value in s, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 15. Find the second derivative of 6*k**4 - 2*k**4 + k + m*k - 2*k wrt k.\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.6 - -2.5. Put 2, w, 0 in ascending order.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 1236 = -3*t - 1242, -d + 4*t + 6 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -80644, -80642, -80638, -80632, -80624?\n\"Answer: l**2 - l - 80644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50802809177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(605) + (-5 + sqrt(605)*-2)**2 + 4)*2.\nAnswer: 462*sqrt(5) + 4898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v + 199. Let b(c) = -c - 2. What is -6*b(g) + t(g)?\nAnswer: 2*g + 211","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**(-1\/2)*b))\/b)**(-12)\/(b*b**(-2\/21))**28)**(-32) assuming b is positive.\nAnswer: b**(-448\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(3\/(-2)). Which is the closest to -1\/3? (a) -2\/13 (b) 4\/13 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2742 * -0.4.\nAnswer: 1096.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 g when four letters picked without replacement from fgfvgfvffvrffrvgfvf?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 32. Let w be f(4). Suppose -h = w*n - 27*n - 1, -5*h + 37 = -3*n. Let c(x) = -2*x**2 + 5*x. Give c(h).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -15 - 7 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -352*c - 10. Let m be o(2). Let v = m + 1654. Suppose 0 = -3*p + 4*g + 448 + 257, 2*g = -4*p + v. Is p a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*u - 11, 34*r - 9 = 33*r + 5*u. Solve f = 5*j - 2, -5*f = -r*j + 5*j - 16 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 + -60. Let h = 1.5 + -2.5. What is the smallest value in b, h, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014013 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (sqrt(242) + (2*sqrt(242))**2 + -3)) + 3 + 0 + sqrt(2)*3 + (sqrt(6)\/sqrt(3) + -5)**2)*-4.\nAnswer: 28*sqrt(2) + 3740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1\/8 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-15))\/((-3462)\/(-34620)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(175) + 1 + sqrt(175) + 0 + sqrt(175) - sqrt(175) - (sqrt(175) - (-1 + sqrt(175))*6))*1)**2.\nAnswer: -1400*sqrt(7) + 34400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11101*j + 0 + 40026*j - 2 + 6983*j.\nAnswer: 35908*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23097 (base 10) in base 9?\nAnswer: -34613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(2\/180*-4). Let m = -119805887\/1064580 - -35\/19356. Let k = m + o. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66? (a) 0.34 (b) -0.1 (c) 0.022\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1488*o + 24 - 24 + 139*o as w + j*o and give j.\nAnswer: 1627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a meter in centimeters?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -26*l. Let p(f) = 18774*f. Determine p(y(z)).\nAnswer: -488124*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3871 + 8962 = -1123*m - 5016 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**4 - 6*n**2*p + 3*n**2 + 12*n - 56*p + 90 wrt n?\nAnswer: 8*n**3 - 12*n*p + 6*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 946350173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 130194 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4536 - -4565. Calculate the remainder when 1623 is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -6) + 112\/(-48).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12*u**3 + 72*u**2 + 43*u + 17. Let b(z) = 2*z**3 + 12*z**2 + 7*z + 3. Let o(j) = -34*b(j) + 6*y(j). Determine q so that o(q) = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 5*a - 200, -2*a = 4*n + a - 188. Suppose 6*y = 2*y + n. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 4. Let s be m(0). Let n = 6 - s. Solve 0*w = -w + n, -4*d + 4*w - 28 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 601.5.\nAnswer: -1804.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n**2 - 46423751*n + 46423751*n.\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3) + (-19 - (-4 + -8)) + 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418 and 159714?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27140 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -2. Suppose 5*s - 6 = z*s + 3*a, 2*s - 14 = 5*a. Let f be (-42)\/4*2\/s. Solve -f = -i - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*p - 37*p - 4*y + 3*y + 498, 3*y - 619 = 5*p for p.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3345748723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*1\/2 + 72\/16. Suppose -2*t = -5*t + 2*q + 71, -5*t + 115 = -v*q. Suppose -3*l - 2*u = -t, 18 = 2*l - 4*u + 6*u. Solve -p + 8 = l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6253487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.06 + -0.06. Let g = -4.4 - -4.6. Which is greater: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 9 = -0*i - 5*a, 3*a = -4*i - 12. Let m = i + 6. Solve -c**3 + 4*c**2 + 2*c**m - 3*c**2 = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - i - 3)*(2*i**2 + i**2 - i**2 + (0 + 0 - i)*(i - 4 + 4) + i - i - 2*i**2) - 6*i - 11*i + 210*i**3 + 19*i.\nAnswer: 211*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f + 647 + 1102 = 0. Calculate the remainder when 202 is divided by f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 67 (b) 3\/5 (c) 4283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/40 and 111\/50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 1. Let b(w) = -3*w**2 + w + 3. Give 2*b(x) + 2*p(x).\nAnswer: -6*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.12 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87147, 86691, 86233, 85773, 85311?\nAnswer: 84847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 5:31 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -0.0041.\nAnswer: 2.9959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-4 - 0) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-1))\/1 + 65\/(-39). Which is the fourth biggest value? (a) -5 (b) -2\/9 (c) j (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**4\/12 + v**3\/6 + 19*v**2\/2 + 2*v. Let n be l(0). Let s = n + 8. Calculate the remainder when s is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35996*v**3*z**3 - 12405*v**3*z**2 - 2*v**2*z**2 - v wrt z?\nAnswer: 215976*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -2141?\nAnswer: 22\/2141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56083?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 25005881*-0.1\nAnswer: -2500588.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127 = 85*t - 553 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 2. Suppose -3*l + 8 = -5*l. Let g(r) be the first derivative of 3*r**2\/2 - 6*r + 1. Give l*g(y) - 11*v(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*q**2 + 41*q + 6*q**2 + 24*q**2 + 7*q**2 - 77*q**2 in the form b*q + m*q**2 + u and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 1. Let o be w(2). What is the remainder when -7*(o + 0) - 0 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 4*o + 5. Let c be k(4). Solve 0 = c*q - 11 + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8*y + 2*y + 8*y - 19*y. Let m(b) = 54*b. What is d(m(p))?\nAnswer: -54*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 32 = -5*n, 0 = -2*n + 5*d - 6*d - 12. Let f(o) = -o**3 - 8*o**2 + 3. Let p be f(n). Suppose -20 = -p*g + 16. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 2. Let f(i) = -2*i**3 + 7. Let n(x) = -2*f(x) + 7*q(x). Factor n(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -0.5594.\nAnswer: 8.4406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -449 + 438 + -10 + -1\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 6*z**2 - 3*z + 12. Let w be p(8). Let u be 1\/(-4) + (-115)\/w. Find b such that 0*b + u*b**2 + 2\/7*b**3 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - v**2 - 5*v**2 + (-4 + 2 + 1)*(0 - 2*v**2 + 0) - 14 + 4*v**2 + 14)*(v**2 + 0*v**2 - 5*v**2).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/2*(-48)\/(-18). Factor 48*m**2 + 8*m**4 - 52*m**3 - 4*m**5 - 9*m - 7*m + o*m**4.\nAnswer: -4*m*(m - 2)**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -35*1*(-23 + 4). Suppose -5*j + 273 + 328 = 126. What is the highest common divisor of f and j?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 + 5 = 3*o, 0 = 2*h + 8. Suppose 0*x + 0 + 1\/2*x**4 + 0*x**2 - 1\/4*x**5 - 1\/4*x**o = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 204407 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12200 (base 4) to base 2\nAnswer: 110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 90 = 0, 5*m = -7*j + 84040 - 83894 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/33020 and -53\/1270.\nAnswer: 33020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165452791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122 - 102. Let b be 250\/7 + z\/(-28) + 1. Let g = 5 + -1. What is the greatest common factor of b and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -87868427 and 3.\nAnswer: -87868424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*d + 140, 9*d - 7*d = 3*c - 86. What is the remainder when c is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80476 + (-2*(-5)\/(-10) + -1)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b3 (base 16) to base 12\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-12))\/((4455\/36)\/33)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30974 + -31645.72. What is n rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, j: 2, x: 4}. 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: Let w = -0.3 - 1.1. Let y = -1.414 - w. Round y to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w - 2. Let x(u) = 2*u - 277605. Calculate r(x(c)).\nAnswer: -6*c + 832813","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 b, and 1 f when four letters picked without replacement from bffffbgbvbvfv.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrv when three letters picked without replacement from {v: 1, y: 1, r: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -202?\nAnswer: -1c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3099 or 3095?\nAnswer: 3095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/39 and -43\/12426.\nAnswer: 161538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232.6431 rounded to the nearest integer?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-10 - -9) - -11\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5458*i**4 + 7957*i**2.\nAnswer: 130992*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxxxlxxxllxxlxll. Give prob of picking 2 x and 1 l.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 7286 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -58?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*h + 680, -120*n + 117*n = -4*h + 1350. Calculate the lowest common multiple of 6 and h.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/30)\/((-4*(-15)\/300)\/(91\/14)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1532310 (base 7) in base 2?\nAnswer: -110011001100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((1 - 1) + 0)\/(-1). Let t be (-2)\/(-1 + s) - 1. Does 8 divide (-20)\/(-2)*2*t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5574.805mm in centimeters?\nAnswer: 557.4805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 5. Suppose k - 14 = -l*k. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27024211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3291?\nAnswer: 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13733598 to the power of 1\/2, to the nearest integer?\nAnswer: 3706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-336)\/(-9) - (-6)\/9. Suppose m = 4*c - 46. Let t(l) = -l**3 + 4*l**2 - l - 3. Let a be t(3). What is the highest common factor of a and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87272.\nAnswer: 2, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, h: 1, f: 10, c: 2, l: 2, i: 2}. Give prob of picking 2 f.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 492 and 574?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 166 = 2*u, -287 = -3*p + 5*p + 5*u. Let y be p\/(-700) + (-2)\/14. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 40866 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, t: 2, r: 5}. What is prob of picking 1 z and 2 r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/28)\/((-21)\/56)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 0 - 7 = -5*h, -3*g + 5*h = 19 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(264)\/sqrt(12))\/sqrt(11) + -5*sqrt(18) + 0)**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bucad. What is prob of picking 1 c and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 414\/6 - (-1 + 4). Calculate the highest common divisor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 47*p**2 - 16*p + 10. Let o be 2\/4 - (10 - (-297)\/(-22)). What is the hundreds digit of d(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 14*m - 34. Let o be t(17). Solve 14 = -o*j + 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k + k)*(6*k - k - k)*(-3 - k + 3).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 1780576.\nAnswer: 8902880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4200722168.\nAnswer: 2, 17, 227, 136069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22243767 and 13806.\nAnswer: 2301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 10*w - 21. What is the closest to -0.3 in -3, -0.4, w, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 99.\nAnswer: -14\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*i - 116, -2*q - 2*i + 104 - 28 = 0. Let w = q - 38. Put 1, 3, w in ascending order.\nAnswer: 1, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 8:39 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*i = -60*i - 56 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*f - 856, -2*n = 3*f - 277 - 237. What is the smallest common multiple of f and 7?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -9 + (-10 - -10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 - 142*a**4 + 135*a**4 + 11*a**2 + 2*a + 36 - 41 as g*a**2 + t*a**4 + w + o*a**3 + n*a and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 262 + -260. Suppose -3*f - f = 24. Let n be -2*2\/(-32)*f. Which is the smallest value? (a) v (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1413 = 11*w - 6044. What are the prime factors of w?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-2))\/(23 - (-31521)\/(-1372)). Solve -43*x + m = -160 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*u = -4, -u - 11 + 2 = -4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 6*u - 8. What is the greatest common divisor of u and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 192811750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033318283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**2 - k + 1. Let v be l(1). Is ((-183)\/6 - 3)*v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = -119*q - 2167 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -65 and 13.\nAnswer: -845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26287\/360 + -1479\/20. Calculate the common denominator of u and 145\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 411.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**5\/15 + l**4\/6 - 4*l**3\/9 - l**2\/3 + l + 134. Factor r(q).\nAnswer: (q - 1)**2*(q + 1)*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586137650 a multiple of 722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 6088.9113.\nAnswer: 6089.4113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11671363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 483, 964, 1447, 1932, 2419, 2908, 3399?\nAnswer: 3892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 90 (c) 4 (d) 2\/9 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 3, -20\/209, 2, -3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 z when four letters picked without replacement from {l: 7, m: 4, t: 2, z: 5}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -3. Let d = 2\/3 + p. Sort -2\/7, 0.5, d in ascending order.\nAnswer: d, -2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4)\/(f*f**(-6)*f))\/(f**(-2\/3))**(1\/9))**(10\/3) assuming f is positive.\nAnswer: f**(2335\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/27 + 4941\/18954. Which is smaller: p or 1\/33?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 251820?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 5, 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0382814 rounded to 3 decimal places?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2948*u + 16. Suppose 3*z - 2*z = c - 7, -c - 23 = 5*z. Suppose 0 = -c*w - 0 - 16. Let n be t(w). Round n to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6266\/4081 + -30\/371. Factor 2\/11*g**2 + d - 12\/11*g.\nAnswer: 2*(g - 4)*(g - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, e: 1}. What is prob of sequence en?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from {p: 8, n: 5, c: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 674683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(363) + -1 + 1)**2 + ((sqrt(108) - sqrt(108)*1)**2 - (sqrt(12) + sqrt(300) + sqrt(12))\/sqrt(4))*2.\nAnswer: 8*sqrt(3) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 343 = -u, -5*u + 18406*y - 79 = 18403*y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 14. Let r be 1 + 0 + (27 - -2). Suppose -x = -3*w + r, -12 - 38 = -5*w + 4*x. What is the remainder when w is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103 and 999924.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1070 divided by 5.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -88 (base 16) to base 15\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1301*o**3 + 10052*o**2 - 10052*o**2 + 4584*o**3.\nAnswer: 3283*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 5. Let x be n(-4). Suppose 5*p = 44 + x. Let c = p + -13. Solve c = 2*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29214650?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 0*a + 23\/3*a**3 + 5*a**2 + 29. Find the second derivative of r(f) wrt f.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 63*v + 3. Let b be g(9). Suppose -29*p + 39*p = b. Solve 4*c = 41 - p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**4 - 13*f**2 + 13*f**2 + (-f**2 + f**4 + f**2)*(-3 - 2 - 6) - f + 2*f**4 + f + 2*f.\nAnswer: -4*f**4 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -32523 (base 8) to base 9\nAnswer: -20647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*h**2 + 8*h**2 - 10*h**2)*(5 + 0 + 2*h - 8) to i*h**2 + p*h**3 + x*h + z and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 917\/6 + -154. What is the closest to -1\/4 in 5, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/9 and 13\/85.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n + 28 = 0. Let z be 4 - (-1 - n) - -22. Solve -l + 2*s = 4 + 1, -l - 3*s = -z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -2*r - 10, -4 = 15*r - 5*r - 2*o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 409 - 451.2. Let m = 42 + z. Is 0 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 669, 2297, 5471, 10707?\nAnswer: 18521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 141543995.\nAnswer: -424631985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*t**2 + 1138*t - 1138*t + t**3 - 55*t**2 - 8*t**3.\nAnswer: -7*t**3 - 98*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 4 = -i, -9*g - 8 = 4*i - 5*g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.9 (b) -0.03 (c) 1\/5 (d) 4 (e) 243 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 43*o**4 + 7*o**2 + 17*o - 1. Let f(n) = 44*n**4 + 6*n**2 + 15*n - 1. Let r(h) = -7*f(h) + 6*i(h). Find the second derivative of r(q) wrt q.\nAnswer: -600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -29. Calculate the remainder when (-6 + 14)*r\/((-16)\/22) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z. Let g(n) = -n**3 + 7*n**2 - 7*n + 8. Let h be g(6). Let k(i) = i**h + i - i. Determine k(u(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 2320?\nAnswer: -2316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1a1c2 (base 15) to base 2\nAnswer: 10100101100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -48, -74, -100, -126, -152?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -11*f + 13*f. Let t(v) = v**3 + 7*v**2 + v + 10. Let i be t(-7). Suppose 0 = -c - 3, -2*y + 16 = -i*c + 1. Sort f, y, 0 in decreasing order.\nAnswer: f, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*((2*b - 5*b + 2*b)*(-4 - b + 4) - 3*b**2 + b - b - 4*b + 4*b - 2*b**2) + (4*b - b + 0*b)*(-3*b + 5*b + 0*b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(2 + -1*sqrt(1377)).\nAnswer: -135*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (9 - (9 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2 + 8. Suppose -f**2 - 8*f + 5*f - f**2 + 2*f**4 - f**q + 5*f**3 - f**3 = 0. Calculate f.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6}. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-18)\/3)*-7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1058794, -1058827, -1058860, -1058893, -1058926, -1058959?\n\"Answer: -33*q - 1058761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*((-10)\/(-7))\/(-5)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.99 + -132369390.32.\nAnswer: -132369387.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 4\/3 (b) -9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 357564574 divided by -1?\nAnswer: -357564574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**6\/720 + y**5\/12 + y**4\/2 + y**2 - 12. Let g(a) be the second derivative of t(a). Let x(o) = 2*o. What is g(x(i))?\nAnswer: -2*i + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1022, -2044, -3066, -4088?\n\"Answer: -1022*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.35, -2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*u + 17*u**3 - 68*u + (0*u + 0*u - u**2)*(-3*u + 0*u + 2*u) - 8*u**3 + 2*u**3 - u**3 to w*u**3 + m + n*u + p*u**2 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 707.\nAnswer: -27\/707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**3 - 2264*a**2 - 44324*a - 79560 = 0.\nAnswer: -17, -2, 585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -246*q**3 + 582*q**2 + 300*q + 42. Let p(l) = -35*l**3 + 83*l**2 + 43*l + 6. Let x(r) = 44*p(r) - 6*t(r). Solve x(h) = 0 for h.\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from {f: 3, v: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3003 = -3*l + 2876, 4*z - 142 = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*h + 596, 7*h - 582 = 2*h - 4*g. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -645c00?\nAnswer: -645c04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.31 - -11.69. Let k = -11.99997 + l. Round k to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*b = -8. Let y(x) = x**3 - 3*x**2 + 2*x - 4. Let r be y(3). Suppose 3*v - 8*v = -r*w - 14, 5*w - 7 = 2*v. Solve v*j = 2*j - b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1916*s + 324*s - 624*s - 106368 = 0 for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**3 - 2*j**2 - 2*j + 2. Let k(m) = -13*m**3 - 9*m**2 - 9*m + 9. Calculate -9*d(z) + 2*k(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -311*z**2 - 4*z + 7. Let f be r(2). Let p = -856 - f. What are the prime factors of p?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39865 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -91597 divided by -47?\nAnswer: 91597\/47","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 9 - 11. Calculate the greatest common factor of 30 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1074261 to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*sqrt(242)*1.\nAnswer: -220*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*d + 56*d - d**2 - 9*d**2 as z + k*d**2 + y*d and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9661 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Suppose s - 3*y = -4*y - 1, -n*s + 5*y = -12. Let v be (s + (-3)\/2)*-8. Solve 14 = -d + 4*b, -d - v*b + 4 = -14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26.5? (a) 12 (b) -0.4 (c) 7 (d) -2 (e) -25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5*(1 - -2)*204\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3203\/2 - 1602. What is the closest to 2\/7 in 0, -0.4, -31, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3945.\nAnswer: 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 68, -663, -5 in decreasing order.\nAnswer: 68, -1, -2, -5, -663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f. Let m be x(-1). Let z(w) = 7*w - 7. Is z(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfqfqfffqffq. What is prob of picking 2 f?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**4\/2 - 28413*i**3 + 270177051*i**2\/2 - 5102633844*i + 48377774616 = 0.\nAnswer: 19, 9452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*d**4 + 15*d**2 + 4*d - 2*d + 2*d - 14*d**2 - 3*d + 2 in the form z*d**2 + j*d**3 + r + i*d + k*d**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 l, and 1 f when three letters picked without replacement from {f: 3, b: 8, l: 2, h: 2, x: 5}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 386*j. Let u(x) = -35*x. Determine -68*u(i) - 6*y(i).\nAnswer: 64*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 561790*a**3 + 3*a + 2 - 561791*a**3 - a**2 - 4*a**4 - 5 to the form g + b*a**4 + i*a**2 + n*a**3 + q*a and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -45*y + 181. Let x(j) = -45*j + 213. Let z(d) = 6*i(d) - 5*x(d). What is z(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0395929 rounded to 3 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2283 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2915290*j**3 + 12837834?\nAnswer: -8745870*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-117*m**3 + 445*m - 445*m)*(-15 + 22 - 9).\nAnswer: 234*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12\/25 + 17\/25. What is k in -3\/5*k**2 - 3\/5*k - f - 1\/5*k**3 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - 197. Let l = b - -221. Let z(u) = -u**2 + 10*u + 4. Calculate z(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/49)\/(-2*(-2)\/(-7)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8*79040.\nAnswer: -142272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and 1.2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-17)\/(935\/(-198)))*12\/(-45)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 + -61338.74.\nAnswer: -61338.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10896376 and 0.8?\nAnswer: 10896375.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffijrxisx. What is prob of sequence rjs?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k. Suppose -2*i + 5*w = -89, -3*i - i = -3*w - 157. Let l(n) = i - 37 - 4*n. Give o(l(s)).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21041432 + -4?\nAnswer: -21041441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/9 + 2\/3. Suppose f + i - 14 = -s*i, -8 = -4*f + 4*i. Suppose -9 = -f*a + 6*a + 4*r, -2*r = -5*a + 21. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -62*d + 352026. Does 54 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -3\/10*g**5 - 5\/6*g**3 + 0*g**4 - 5*g + 0*g**2 + 0. What is the second derivative of m(p) wrt p?\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15435494*n**3 + 61163130 with respect to n.\nAnswer: 46306482*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5 = -1. Let n be (-7 + 11)*h\/(-4). Suppose 5*i + n*x = 1967, 0 = 2*x + 3*x + 20. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/40 + (-1)\/(-5). Let u(m) = m**2 + 1. Let d be u(p). Let y be d\/4 + 15\/4. Let n(z) = -z - 4. Give n(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r + 5 = -5*n, 0 = 2*r - 2. Solve n = 3*x - 0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1215*k**2 + 200543148*k + 41376084577932\/5 = 0. Calculate k.\nAnswer: -3713762\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6940, 55664, 187930, 445510, 870176, 1503700, 2387854, 3564410?\n\"Answer: 6962*s**3 - s**2 - 7*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.225 + 3.305. Let k = 1.08 - w. Suppose 25 = -2*n + 1. What is the nearest to 1\/4 in k, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*j - 1. Suppose j*m = -2*m - 15. Do -5 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168525 is divided by 104.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17843524 or 8?\nAnswer: -17843524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/26330 and -53\/15798.\nAnswer: 78990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 428 - 851\/2. Let o(q) be the first derivative of -1\/2*q**4 + 0*q**3 + 0*q - v*q**2 - 2. Find the second derivative of o(a) wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 98002674 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*x + 5. Find the second derivative of -2*m**3 + m + 0*m + 0*m**x wrt m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u + 46. Let z be f(12). Suppose -4 = 4*j, 3 = -4*b + 3*j + 6. Is (259 + b + z)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2ec (base 16) to base 8\nAnswer: -1354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yccyvvyayyyyzavyy. Give prob of picking 1 v and 1 z.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**5\/4 + n**4\/12 - 4*n**2 - n. Suppose -30 = 2*x + 3*x. Let k(u) = 4*u**3 + u**2 - 7. What is x*k(b) + 5*j(b)?\nAnswer: b**3 - b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -212406 or -1699251\/8?\nAnswer: -212406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*z - 55110 = m - 114*z, -8 = -4*z. Round m to the nearest 1000.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84979\/29 - 2930. Let i = l + -817\/203. Find the common denominator of i and -23\/67.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) 5 (b) 0 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 55 - 88 = 0. What is the least common multiple of 75 and o?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18740 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1557210 is divided by 609.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46047622 - 1?\nAnswer: -46047623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qggg when four letters picked without replacement from {q: 1, u: 2, e: 2, g: 14}?\nAnswer: 91\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 315.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b0 + -4?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8101716.\nAnswer: 2, 3, 7, 43, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377 is divided by 1255?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -q - 6. Factor -12*y**2 - y**4 + 5*y**4 - 81*y + 8*y**3 + 49*y - q.\nAnswer: 4*(y - 2)*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483650.\nAnswer: 2, 5, 17, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3\/38 (b) -3 (c) -5\/2 (d) -2\/245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1. Let u = 3.29 + -0.59. Let c = 3 - u. What is the closest to 2\/5 in c, f, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, j: 4, x: 1}. What is prob of picking 2 p and 1 j?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 69*b - 455. What is f(9)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*t - 36*t + 112*t**3 - 34*t - 36*t + 137*t.\nAnswer: 112*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16b0b + d?\nAnswer: -16aed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1105257253.\nAnswer: 1105257253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 2 + (-24)\/(-3). Let x be -1 - 54\/(-10) - s\/15. Differentiate 10*y**x - 4 - 4*y**4 - 4 wrt y.\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -794218 divided by -50.\nAnswer: 397109\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 61 and -162982686?\nAnswer: 162982747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50974.382 and -0.1.\nAnswer: 5097.4382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/(sqrt(16) - (sqrt(64)\/sqrt(4) + sqrt(16))) - sqrt(624)\/(sqrt(96)\/(sqrt(8)*-2)))*3.\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (27 + 6 - 46)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*z - 4059*z + 666*z.\nAnswer: -3633*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, x: 6, f: 9}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 152*z**3 - 42*z**2 + 270*z + 8. What is the units digit of u(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 357 and 408.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 92a6 (base 11) to base 16\nAnswer: 3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 20\/7, 1.6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 7) to base 15\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 6\/1 - 1. Let k = 1777\/30 + -589\/10. Which is greater: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -7. Let u be ((-65)\/(-10))\/(2\/k). Solve -2*r - 5*f - 33 = -u, 4*f + 33 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6187 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-1\/19)*s))\/(s\/s**(-1\/35)))**(-17) assuming s is positive.\nAnswer: s**(11033\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1152008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 - 2155*z**3 + 222240*z**2 + 2160400*z + 1936000.\nAnswer: 5*(z - 220)**2*(z + 1)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i**2 - 625*i + 218. Calculate the remainder when 679 is divided by l(89).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8111 - -8225. What is the least common multiple of 1710 and g?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 1. Let b(d) = 7*d + 4. Calculate -b(n) + 2*q(n).\nAnswer: -9*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -152*a**2 + 152*a**2 - 43*a**5 + (3*a**2 + 0*a**2 - 4*a**2 + (1 - 1 + 2)*(-a**2 - 2*a**2 + 2*a**2))*(-3*a**3 + 4*a**3 - 3*a**3).\nAnswer: -37*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -207, -3, -780 in increasing order.\nAnswer: -780, -207, -3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -114 (b) 2\/5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -7*g**5\/12 + 7*g**3 + 5*g**2. Let r(m) = m**2 - 1. Let o(k) = 42*r(k) + t(k). Let i(p) = 5*p**2. Determine i(o(b)).\nAnswer: 245*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187491 (base 12) to base 6.\nAnswer: 13055101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t - 3. Suppose 3*g = 10*g + 7. Let x be y(g). Solve -x*w = -1 + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/176 and -101\/90412?\nAnswer: 3978128","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*(-3648)\/(-64).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 388 = -6*k. Let i = 9 - 5. Suppose i*l - k = 107. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * -0.03434911.\nAnswer: -0.92742597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let o be f(-1). Let r be (o\/4)\/(9\/(-288)). Calculate the highest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 y, and 1 m when three letters picked without replacement from fjwfwiym.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/6 - 2003*k\/2 + 427119.\nAnswer: (k - 5547)*(k - 462)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10809?\nAnswer: 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7950.143 milliseconds in nanoseconds?\nAnswer: 7950143000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 110 and 7.91.\nAnswer: 870.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7)\/w**(-7)*(w**(-1\/4))**(-23))\/((w**(1\/4)\/w)**(5\/3)\/(w*(w*w*w**(-7)\/w)\/w*w*w\/w**(-7\/5))) assuming w is positive.\nAnswer: w**(389\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 2)*(-1988*s**2 - 3562*s**2 + 58*s**2) to the form w + d*s**2 + x*s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120 + -114. Let h = -19 - -1. Let x = h - -25. Solve 4*v - n = x*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46809087 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {l: 11, s: 9}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -104 - -103. Let r = b + 2. Let l = -28\/9 + 3. Put -1, 0.5, l, r in increasing order.\nAnswer: -1, l, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.95 - 0.05. Suppose -3*i + 3*u - 9 = 0, -7*i + 3*u = -2*i + 11. Which is the third smallest value? (a) 0 (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14990000 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3075109, 12300423, 27675949, 49201687, 76877637?\n\"Answer: 3075106*l**2 - 4*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 5. Let x(t) = t - 130. Calculate 3*u(v) - x(v).\nAnswer: 2*v + 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1 - -1.4. Let a = 0 - -5. Let b = a - h. What is b rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + d**4 + 2 + (-d**4 + 0*d**4 + 3*d**4)*(-2 + 1 + 3) + 4 + d**4 - 4 + (-5*d**2 + 18*d**3 + 5*d**2)*(5*d - d - d).\nAnswer: 60*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 6*i - 4. What is m(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 6:54 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 12:14 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 556906 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 9*h**2 - 20*h + 4. Let m be g(-5). Sort 8, -27, m, -2 in descending order.\nAnswer: 8, m, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 140\/21 - (-4)\/(-6). Suppose -3 = -3*z + x. Suppose 17 = z*a - 10. Calculate the remainder when 35 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 254246 in descending order.\nAnswer: 254246, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -24. Let w(j) = -j**2 + 6*j + 12. Let z be w(8). Let m be 1\/(-1*(z + 1)). Which is the smallest value? (a) y (b) 0.2 (c) m (d) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1196\/5*h**2 + 2\/5*h**3 + 178802\/5*h.\nAnswer: 2*h*(h + 299)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 8*o**2 + 8*o - 5. Determine n(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004453 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1690*o**5 + 210158*o**4 - 3173752*o**3 + 3798392*o**2 + 1822688*o - 2684416 = 0 for o.\nAnswer: -4\/5, 14\/13, 16, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220140 - -10?\nAnswer: 220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -16*x**2 - 15 - 4*x + 9*x**3 - 8*x**3 - 6*x - 6*x + 0*x. What is o(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**7\/(b*(b**(1\/3)\/b)\/b))\/(b**(-3)\/(b**7*b)))**(-2\/131) assuming b is positive.\nAnswer: b**(-112\/393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1193\/5 or 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11*1\/(-3) - (-126)\/42. Let z = -0.11 + -11.89. Let k = -9 - z. Which is the nearest to 2\/3? (a) r (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17916 and 31692?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) 3\/5 (c) -1\/112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1067251 is divided by 34425.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 + -82. Does 11 divide 679\/6 + 3 + q\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 1. Let z(n) = -n**3 + 6*n**2 - 5*n + 6. Let y(i) = 4*a(i) - z(i). Calculate y(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3084 + 56 = -3*r, -5*h = -r + 1018. Suppose 185*n - r = 181*n. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 0)*(48 - 15 - 14) - 1 - 2 + 1)*(-2*h + h + 3*h).\nAnswer: 72*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4902*u + 100248 = -213480 for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a + 4. Let j be t(-4). Which is greater: j or 17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442070181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*y + 140 = -63*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**5 + 0*v**5 + v**5)*(19 + 9 + 3) - 5*v**5 + 2*v**5 + 4*v**5 + (2*v**2 + 0*v**2 + 0*v**2)*(-v**3 + 22*v**3 + 14*v**3).\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3774?\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -476*m + 739. Give i(1).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 0 - (63 - (31 - -31))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3425435 and -3425414 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 38. Solve -o = -5*h - 3*b, 2*h = -0*b - 4*b + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2400 - 2288. Is l greater than 2.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/4951891 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*d**2 - 2)*(0*d**2 + 0*d**2 - 3*d**2) + 11*d**4 - d**4 + 0*d**4 + 12 - 12 - 3*d**4.\nAnswer: 13*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198755555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 5*v + 23, 5*b = -2*v + 8 + 43. Solve n + b = -2*m - 4*n, -17 = 5*m + 2*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12 - 3)*(18 + 1). What is the greatest common divisor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -560 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 - 2*m - 3*m - 6*m + 12*m as o*m + d and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7. Let o(w) = -6. Let y(z) = -5*m(z) + 6*o(z). Let t(n) = -n**2 + 6. Let a(j) = -t(j) - 5*y(j). Factor a(d).\nAnswer: (d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**6)*((d*d**(2\/3))\/d)\/d*d)**(-6\/25) assuming d is positive.\nAnswer: d**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 0.4, -0.1, -17, 1 in ascending order.\nAnswer: -17, -5, -0.1, 0, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 6:06 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 21*w. Let o(k) = 1029 - 147*k - 2056 + 1027. Determine -4*o(z) - 27*p(z).\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, h: 3}. Give prob of sequence lhh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 195588, 195591, 195594, 195597, 195600?\n\"Answer: 3*s + 195585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3867694 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72384 is divided by 1440.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 863 - 860. Let l = 13 - 19. Let i = 6.2 + l. Which is greater: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14278 and -1.\nAnswer: 14277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 66\/4 - (-17)\/(-34). Let x = 17 - m. Solve x + 5 = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -34*u**2 + 5*u + 34. Calculate j(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3387 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: Let d(k) = k**2 + 4*k + 3. Is 12 a factor of d(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 9:34 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 260 - 259.8. Let u = 0.6 + -0.2. What is the third smallest value in u, -0.5, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 8 + 28*w**3 + 7 as a + i*w + j*w**2 + o*w**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 25. Differentiate -9*k**4 + 4 + 0*k + 4*k**j + 0*k with respect to k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**5 - 2*q**5 + 3 - 4)*(-4 - 44 - 16).\nAnswer: 192*q**5 + 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/30 - q**4\/3 - q**3 - 2*q**2. Calculate the lowest common multiple of f(6) and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 + -0.1058.\nAnswer: 30.8942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 722458 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 1070*r + 1070*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -21*f + 690. Calculate l(39).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -27. Suppose 0 = -o - 7*k + 2*k + 29, -4*k = -a*o + 140. Suppose o - 40 = g. Is -7 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 18 = 2*s, 4*s + 5*z = 29 + 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 9)*(-2 + 0 + 4)*(-3*u + 2*u - 2*u)*(9*u**3 - 8*u**3 + 13*u**3).\nAnswer: 1176*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9327182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 8*q**2 - 7*q - 5. Calculate c(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1959 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 173, 172, 171, 170?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11762952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -11*g. Let p(a) = 8789*a. Calculate p(d(m)).\nAnswer: -96679*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = 18*y + 78. Let q be 2\/(-4)*(-1 - (y - -3)). What is the highest common divisor of 21 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -0.4. Suppose -3 = 8*f - 11. Let g = 0.09 - 1.09. What is the closest to f in 1, g, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 17*c**2 + 23*c + 21. What is the units digit of g(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**2 - 99612*d - 99608 = 0. Calculate d.\nAnswer: -24902, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g + 20. Let q be k(-6). Let l(z) = -2 + 89*z + 3*z**2 - 86*z + z**2. Let x(c) = -4*c**2 - 4*c + 2. What is q*l(r) - 3*x(r)?\nAnswer: -4*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -35868.28779 and -8.97.\nAnswer: -35877.25779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/6 + 53\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 45, -14, 3, -147 in decreasing order.\nAnswer: 45, 5, 3, -14, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000072885744 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29781 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 10*y**2 - 5*y + 22. Let i be b(-8). Suppose 7*t - 20*t = -i. Calculate the remainder when t is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1874, 3746, 5616, 7484, 9350, 11214, 13076?\n\"Answer: -r**2 + 1875*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-3)*(-3240)\/16200. Let b = -6\/11 - -29\/33. Suppose -1\/3*o + 2\/3*o**3 - b*o**5 + w*o**2 - 1\/3*o**4 - 1\/3 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 - 2*s**2 + 11*s + 40. Let b be r(7). Suppose -3*c + 0*w + 1089 = -3*w, -2*c + b = 5*w. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194 and 3497787796.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14495.86 + -2591.675.\nAnswer: 11904.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*a + 114*a = 195*a - 79. Let b(h) = 3*h**2 + 4*h - 1. Let w(x) = -2*x**2 - 4*x. Let v(r) = -3*b(r) - 4*w(r). What is v(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22819 * -61.\nAnswer: 1391959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/25 - 123\/50. Put q, -4, -1 in descending order.\nAnswer: -1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35010202 to the power of 1\/2, to the nearest integer?\nAnswer: 5917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**5\/10 + 353*t**4\/4 - 8*t**3\/3 + 51*t**2\/2 - 13*t + 5. Find the second derivative of d(x) wrt x.\nAnswer: -12*x + 2118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**5 - 12*c**4 - 9*c**3 + 54*c**2 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -549, -1186, -1823?\nAnswer: -2460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0 + -1)*(2 + -4). Suppose v + 2*h - 217 = -0*h, 4*v - f*h = 888. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = -s. Let v be s\/(-4) - 10\/(-4). Suppose 0 = v*d + d. Solve 2*o - 4*o = d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*k - 666 + 2041 = 0. Let g(p) = -p**3 + 4*p**2 - 3*p - 4. Let h be g(5). Sort -4, k, h.\nAnswer: h, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -16430212?\nAnswer: 16430220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -261820592, -523641185, -785461778, -1047282371, -1309102964, -1570923557?\n\"Answer: -261820593*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-78239)\/49 - 8\/(-28). What is the greatest common divisor of 64 and t?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556418 is divided by 400?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.032 + -22.968. Let z = -38 - r. Let j = -10 - z. Which is the nearest to -1? (a) 4\/3 (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 4*p - 172, 0 = 3*p - p. Let m = 33 - y. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 85609021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3\/4 - 27*y**2\/2 + 60*y - 72 = 0. What is y?\nAnswer: 2, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-8)*(4 - 4). Suppose -2*t - 8 = 0, -3*w = -4*t - y*t - 76. What is the remainder when 39 is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696 is divided by 172.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 3*m**2 + m + 2. Let j be (-4)\/(-24)*-26*-3. Let z = 16 - j. Let v be t(z). Which is the nearest to -0.1? (a) 0.3 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 14. Let f = 1 + 1. Let g = -1 + 2. Put g, n, f in decreasing order.\nAnswer: f, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = x + 4*n, 0*x - 4*x + 62 = -3*n. Suppose 0 = x*c - 16*c - 2. Solve -c*b + 2*f + 10 = 0, 4 = -4*f - 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 20*k**2 + 348*k + 908. Determine h(-14).\nAnswer: 2700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(4 - 5 + 11)*(2*s + 4*s - 3*s)*(0 - 2 + 0)*(2 - 2 - 3*s).\nAnswer: -540*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 14) + -6 + (3 - (3 - -15)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 - (103 + -112).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by -73\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*v, 5*v + 4*x = x. Suppose -z - 10*y + 13*y + 143 = v, -2*y - 278 = -2*z. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 2*((sqrt(243)*-3 - sqrt(243)) + sqrt(243) - sqrt(243)) + -2*(-2 + sqrt(243)))*-5 + (1 + -3*(sqrt(243) + -1))*-5)**2.\nAnswer: -43200*sqrt(3) + 876400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -502*a**3*z - a**2*z**3 - 801*z**3 with respect to a.\nAnswer: -1506*a**2*z - 2*a*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 8.09. Let x = r + 4.09. Let m = 0 + 0. What is the biggest value in 0.4, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2115 and 3.6?\nAnswer: 3.8115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 - -57.5. Let p = x + 4.5. Let j = -9 + p. Which is the biggest value? (a) -0.04 (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/5 - 38*r**2\/5 - 72*r\/5 - 7.\nAnswer: (r - 7)*(r + 1)**2*(r + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + k = 6*k - 24, -5*k = 3*a - 23. Let q(n) = 2332*n**2 + 3*n - 2. Is q(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 52784682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*1\/(-6)*(-4)\/3. Let a(q) = -51*q**l + 0*q**3 + 25*q**2 + 9*q + 34*q**2 + 6 + q**3. Give a(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**5 + b**4 + 3*b**3 - b**2 + 4*b - 3. Let l = 3 + 0. Let i(h) = -h**5 - 2*h**3 - 3*h + 2. Let w(a) = l*i(a) + 2*u(a). Factor w(z).\nAnswer: z*(z - 1)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.017437 rounded to 3 decimal places?\nAnswer: -1.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3, 49, 163, 363, 673, 1117, 1719, 2503?\n\"Answer: 4*f**3 + 7*f**2 + 3*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31, 131, 311, 583, 959, 1451, 2071?\n\"Answer: 2*j**3 + 28*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 15 = -4*b - 0, -5*b = 5*s - 15. Let m = 6 - 6. Let a = s + m. Solve -x = a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1416890800?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011022100021 (base 3) to base 4.\nAnswer: 2112130333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -57*s**2 + 51*s + 6 = 0. Calculate s.\nAnswer: -2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g**2 + 17*g - 12. Suppose -4*x = 12, -23 = 16*w - 15*w + 5*x. Let h(i) = 4*i**2 + 11*i - 8. Calculate w*h(y) + 5*b(y).\nAnswer: -2*y**2 - 3*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61674 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - u - 5. Let p(v) = -3*v - 1. Let o be p(u). Calculate the greatest common divisor of 70 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12552 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 754, -1, 0, 1 in increasing order.\nAnswer: -1, 0, 1, 43, 754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(6\/3 - 3). Let a(f) = 3*f - 1 + l*f**2 - 2*f - 2*f - f. Calculate the remainder when a(-2) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.3, -1276?\nAnswer: -1276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 times 19209?\nAnswer: 12620313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w*w**(-1\/2)))*w**12*w assuming w is positive.\nAnswer: w**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/5 - 16*m**3\/5 + 42*m**2\/5 - 36*m\/5.\nAnswer: 2*m*(m - 3)**2*(m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1521 is divided by 117?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -170*s. Let r(o) be the third derivative of -19*o**4\/24 - 4479*o**2. Determine r(x(w)).\nAnswer: 3230*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 110000111000011100100?\nAnswer: -110000111000011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(-3\/22)*j*j**(-14)*j**(2\/69))**(-2\/23) assuming j is positive.\nAnswer: j**(1790\/1587)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a - 8. Determine h(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 570728913 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 36 = 89. Suppose -5*i - 4*m + 0*m = -o, -5*i - 3*m + 25 = 0. Suppose 4*h = 3*j - 220, -j + i*j + h = 325. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 667 + 20339?\nAnswer: 209a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4439940145 to the power of 1\/3, to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**3*r**2 - 3*i**3*r*t**3 - 16*i*r + 226*r**2*t**3 - t**3 wrt r.\nAnswer: -6*i**3 + 452*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.166 (b) -2\/7 (c) -0.186 (d) -1 (e) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/6 + 3509*f**3\/3 + 1500140*f**2 + 1334907211*f\/3 + 2660820601\/6 = 0. Calculate f.\nAnswer: -571, -1, 8161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*p - 2676 = -13521, 4*c + p = 8670. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000828003 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 221663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 283608 + 30023. Suppose 44*p = o - 9465631. What is p rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - d**2 + 57*d + 101. Calculate s(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 5:45 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*o + 37*o = 1206. List the prime factors of o.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*y - 10 = -0*y, 4*l = 4*y + 8. Suppose 2*j = -l*j - 10. Calculate the smallest common multiple of 8\/j*(-5)\/2 and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220102 + 20?\nAnswer: -220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*i - 6 = 0, 3*p + i = -3*i - 6. Let a be (-164)\/(-12) + p\/3. Let z = a + -5. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 225\/6*(0 - -2). Suppose 7*s - 3*k = 3*s + i, -2*s = -3*k - 45. Let f(p) = -p**2 + 6*p + 2. Let h be f(6). Solve h*w - s = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 1)*-6*1. Let s be i\/(-21) - 552\/(-21). Let z = s - 14. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1832 and 115\/28854.\nAnswer: 115416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4514, 4548, 4582, 4616?\nAnswer: 4650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**3 - 48*z**2 - 5*z + 85. Let l be b(16). Suppose p - 5*t + 19 = 0, 6*t - 8 = 4*t. Let f be 1\/(1*(-2)\/34). Sort p, l, f in decreasing order.\nAnswer: l, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 0*l**7 + 0*l**3 + 0 + 0*l**6 + 1\/30*l**5 + 1\/84*l**8 + 0*l - l**2 + 0*l**4. What is the third derivative of n(c) wrt c?\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99487?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.3 (c) -0.2 (d) 1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7ef - -18d15?\nAnswer: 18526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2. Suppose -19*d - 196 + 1028 = 45*d. Let a(k) be the first derivative of 0*k - 3\/2*k**2 + d. What is r(a(o))?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 4*c + 2*c - 2*c + 2*c + 4*c.\nAnswer: 2*c + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**3 - n**2. Let v be y(-1). Let o = -3 - v. Suppose u = o*u - 2. Solve 20 = -2*h - u*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 10:59 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 - -38. Let l = 17.00008 + d. Round l to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4*-2)\/(6 + (-1120)\/184). Solve 0 = 3*t + 107 - a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710 is divided by 76.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuueuu. What is prob of picking 1 e and 2 u?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 4 = -9*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 248143613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -171035+0.0606\nAnswer: -171034.9394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96200\/(-195))\/37*(0 + (-18)\/10).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 2*o - 2*o**4 + 0*o**4 + o**4 + 0*o**4 + (6 + 4 - 3)*(3*o**4 - 3*o**4 - 2*o**4) + o**4 + 4*o**4 - 6*o**4.\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21807206 is divided by 2831.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 4 - 4)*(6*t + t - 3*t) + (2 + 2 - 3)*(1 - 2 + 0)*(-t + 2*t - 2*t + (0*t - 2*t + 0*t)*(-4 - 1 + 7) + 2 + t - 5*t + 3*t).\nAnswer: -42*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02535 - 2.02535. What is the nearest to 2 in -0.5, -267, j, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -10. Is 2150 + -1 + i\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*f - f + 3, 0 = -4*c - 5*f + 27. What is the highest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -240402945624 + 0.05.\nAnswer: -240402945623.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16170*w = 14746*w + 105376 for w.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/7450366 and 33\/4.\nAnswer: 14900732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/6, 29, 23 in increasing order.\nAnswer: -1, 1\/6, 23, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 0*c**2 - 9 + 10\/3*c**3 + 0*c. Let n(j) = -2*j. Determine n(d(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2111306 (base 8) to base 14\nAnswer: -108a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60452 and 14348.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 19 = 58. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -7. Solve 2*c = t*n - 9, 3*c - 5*c - 7 = -3*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - 6\/3 - (-528)\/120. Let d = -319\/35 + b. Sort -0.04, d, 16 in ascending order.\nAnswer: -0.04, d, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1370\/7073 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + r - 4. Let h(x) = -220*x**2 + 8*x - 28. Give -h(u) + 8*z(u).\nAnswer: 228*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 7. Let c be b(-5). Suppose -c - 3 = -5*o. Let p be -1 + (-2 - (-4)\/2). Is o less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 126 - 43 - d**3 - d**2 - 46 - 41 + 17*d**4 as a*d**4 + f*d + q*d**3 + x*d**2 + i and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0 + 0)*(-5*c**2 + 3*c**2 + c**2) - 79 - 81 + 155 + 26*c**3.\nAnswer: 25*c**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 - -72. Which is smaller: -8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 19) + (-1 - 2) + (-17 + 38 - 14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 577759027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 3*p**2 + 0 + 2\/3*p**3 + 20*p + 1\/20*p**5 + 7\/12*p**4. What is the least common multiple of u(-6) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (47 + -9)\/(3\/207). Does 20 divide i\/30 - (-14)\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w - 5*q - 7, 0 = 2*w + 2*q - 8. Solve w*l + 8 = -2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + (-80 - -102) + 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 89 = 34*q. Solve -q*t - 5*j + 6 + 21 = 0, -5*j = 2*t - 23 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 285 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65478354*p**2 + 4827565*p wrt p.\nAnswer: 130956708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54485 is divided by 18161.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/8 and -81\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5*l + 25 = -6*r, 3*r - 3*l + 3 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 + 109. Let p = -3205 + 3223. What is the remainder when x is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Suppose 0 = -0*a + a. Let k = a + o. Calculate the remainder when 4 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -495035?\nAnswer: -247517.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-10)\/2600*273*(-2)\/(-7))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -342 + 942 + 52*p - 451. What is the units digit of i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - u + 1. Let q(j) = 2*j**3 + 6*j**2 + 5*j - 7. Let i(a) = 3*f(a) + q(a). What is the lowest common multiple of i(6) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/420*((-252)\/18 - -18)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 7*f - 4. Suppose -5*r = -p + 27, -2*p - 3*r = -5*r - 22. Calculate w(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 17 = 2*r. Let t = r + 38. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-216)\/42)\/(2\/(-35)). What is d rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2222020 + -21110?\nAnswer: 2200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -515 < -515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/42*-2)\/(28\/(-336)*4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 564204, 1128374, 1692532, 2256672, 2820788, 3384874, 3948924, 4512932?\n\"Answer: -c**3 + 564177*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 61570000 to the nearest 100000.\nAnswer: 61600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 19*n**2 - n**2 + 2*n**2 - 8*n**2 - 11*n**2. Let t(r) = 10*r**2 + 16. Give f(t(m)).\nAnswer: 100*m**4 + 320*m**2 + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 7. Let n be m(-5). Suppose 5*l - 5 = 5, 0 = 5*g + 5*l - 1110. Suppose -g = -n*f - 73. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -0.03859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12121 (base 4) to base 9\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o + 18. Let m be f(7). Suppose -m*j + 111 = -3*j. Suppose -j = -2*n - 3*n - 2*u, 5*n - 96 = 3*u. Solve -l - l = 3*x - 19, -2*x = 3*l - n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279921, -279920, -279919, -279918?\nAnswer: -279917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times -2329.6?\nAnswer: 20966.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -50*u + 78. Let c be j(1). Solve 30*k = c*k + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2066, 4095, 6102, 8081, 10026, 11931, 13790?\nAnswer: 15597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -10*f + 16. Let q(a) = -2*a + 3. Let g(k) be the second derivative of 3*k**3\/2 + 33*k**2\/2 + 13*k. Let v be g(-4). Calculate v*b(h) + 16*q(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2118057984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 165 - 2\/3*z**3 + 0*z**4 + 2*z - 45\/2*z**2 - 13*z**5. Find the second derivative of u(i) wrt i.\nAnswer: -780*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**4 - 102318*l**3 + l**2 + 40820 wrt l?\nAnswer: 24*l - 613908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407, -410, -415, -422, -431, -442?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-118)\/(-2) - (2 + -2). Let k be ((-48)\/(12\/3))\/((-10)\/85). Let p = k - o. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 1 + 1)*(s**2 - 4*s**2 + 2*s**2) - 6*s**3 - 22*s**3 + 5*s**3 + (4*s**2 + 3*s - 3*s)*(5*s - 2*s - 2*s).\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k. Suppose k*m = m - 4. Suppose -m - 4 = -t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -281 - -81. Is 8 a factor of 1 + 4\/(-3) + y\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**3 - p**2 - 771*p - 1519. Calculate u(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1716?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-121)\/(-1573) + (-50)\/988?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3134820754 rounded to five dps?\nAnswer: 0.31348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 4:01 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -8. Let x(h) = h - 1. Let o = -27 - -36. Let k(l) = 5*l - 3. Let j(c) = o*x(c) + z*k(c). Give j(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*y - 14, -k + 4*y + 20 = 3*k. Suppose 0 = -2*q - 4*h - 16, -k*h - 15 - 1 = 4*q. Suppose q = 2*p - 5*p + 18. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3109254 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4732243?\nAnswer: 31, 293, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1286 and 3339742?\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 3\/2, -3\/8, 473, 2, 1 in descending order.\nAnswer: 473, 2, 3\/2, 1, 3\/5, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -209*b - 95. Let r(g) = -g + 3. Let k be r(-3). Let n(v) = 13*v + 6. Let d(i) = k*t(i) + 95*n(i). Let z(h) = -h**2. Give d(z(w)).\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**3\/2 - h - 4. Let w(g) be the first derivative of u(g). Let i(r) = -3*r**2 + 6*r**2 - 2*r**2. Give i(w(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*w**2 - 143*w - 158*w + 281*w**2 - 121*w + w**3.\nAnswer: w**3 - 422*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**2*x + 862*a*x**3 + 92852*x**3 wrt a.\nAnswer: 2*a*x + 862*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8*i = -56. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 10*r**3 + 65*r**2 + 25*r - 30 = 0.\nAnswer: -6, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**4\/60 + 4*b**3\/5 - 5*b**2\/2 + 60*b + 163. Let a(p) be the first derivative of n(p). Suppose a(m) = 0. Calculate m.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-511962045)\/(-60) - 6\/8. Round n to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2758466446?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 12:20 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 197.8 + -185.8. Which is the third smallest value? (a) -1\/24 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 339758*d**4 + 189*d**3 - 5*d**2 + 452294*d + 21?\nAnswer: 8154192*d + 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2960 divided by -40\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 518245 and 125307.\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*o + 40 + 36. Suppose 0 = 2*s - 6 + 24. Which is the second smallest value? (a) o (b) -5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-132) - 150\/27*(-11)\/242?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - g + 14 = 0. Suppose g*b - 4*b + 46 = 0. Is 2 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695645154?\nAnswer: 2, 3, 38646953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/7 - 162*u**4\/7 + 340*u**3\/7 + 660*u**2\/7 - 338*u\/7 - 498\/7 = 0 for u.\nAnswer: -83, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 7. Let p(n) = -n + 2921. What is 2*o(u) + p(u)?\nAnswer: u + 2907","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**4\/24 + 3*p**2. Let s(z) = -15*z**2. Calculate b(s(t)).\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 660457?\nAnswer: 660465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 112 = -u - 4*m, 0 = 4*u - 3*m - 448. Let c be 140\/u - -3*2\/8. Solve -y + 0 = -c, t = -2*y + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.4866 - -1.4866. Let c(p) = -p**2 + 6*p + 2. Let t be c(7). Let x be (6\/(-4))\/(6\/(-2)). What is the smallest value in x, j, t, -1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 15. Let g = -50 + 36. Let r be t(g). Let w(n) = -5*n + 6*n - 6*n - 1 - 7*n. Determine w(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(-1 + 2 + 0)*(-2*b + 2*b - 2*b) to n*b + s and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -22. Let o = 2 + 2. Suppose -48 = -2*v - 2*v + 4*h, o*h - 36 = -p*v. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104140 and 12065.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4 - 9*u - u**3 + 3*u + 2*u**3 + 4*u**2 + 2*u. Let p be i(-4). Solve 0 = 2*x - 4*m - p, -4*m - 20 = 2*x - 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/55080 and 79\/110160.\nAnswer: 110160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2000\/(-300))\/((-2)\/(-3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -85, 3?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -2. Let z be (0 - -9)\/3 + n. Let k = 77 - 849\/11. Which is bigger: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.47, 2\/5, -5 in decreasing order.\nAnswer: 0.47, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12547 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -99*g**2*k**6 - g**2*k**2 + 24*g**2 + g*k**6 + 2*g*k wrt k?\nAnswer: -11880*g**2*k**3 + 120*g*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + y - 4. Let x = -1 - 2. Let n be r(x). Let a = 15 + n. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7071035, -14142072, -21213109?\n\"Answer: -7071037*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 161, -0.3 in ascending order.\nAnswer: -3, -0.3, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - (-3 + 2 + (10 - (11 - 4)))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzzz when four letters picked without replacement from {z: 12, g: 7}?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -0.09?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -2\/75, -0.298826 in descending order.\nAnswer: 3\/5, -2\/75, -0.298826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 12, -11, -50, -105, -176, -263?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 8*u**2 - 9. What is the tens digit of v(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*4.931.\nAnswer: 1.4793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -66928325 less than or equal to -66928324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -443 + 884. Let n = u + -279. 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 tens digit of 10468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 18*c + 13*c - 42 + 2*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 5 (c) 5885\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/6 - 448531*c**3\/2.\nAnswer: -c**3*(c + 1345593)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 3 (c) -5 (d) -2 (e) 0.16 (f) -7 (g) -56\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 + 952*u - 25656. What is o(27)?\nAnswer: 1506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661495063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.5 and -723.\nAnswer: 1807.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p + 1 = -30*p. Let d = p - -100. Calculate the remainder when d is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 + -281571.78.\nAnswer: -281570.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271500?\nAnswer: 2, 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 - 1. Let l be q(1). Suppose -2*b = 3*y - 85, l*b = -4*y - 0*b + 114. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33)\/(-11) + -1*1. Factor -14\/11*j - 10\/11*j**3 - 2*j**b - 2\/11.\nAnswer: -2*(j + 1)**2*(5*j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 0 + 1)*(d**2 + 0*d**2 - 7*d**2).\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -455.3 times -50941?\nAnswer: 23193437.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 951.36 or 2\/5?\nAnswer: 951.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 15, 8, 9 in decreasing order.\nAnswer: 15, 9, 8, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmymmbbmbmfymmsbm. Give prob of sequence bsmy.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.7 - -210.3. Let t = d - 121. Let y = 97.22 - t. What is y rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 times -0.0203?\nAnswer: 3.3901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7025*u - 22376 wrt u.\nAnswer: 7025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**3*k**2 - 24277047*d**3 - 155688*d**2*k - 2*d*k**2 - 193*d*k wrt d.\nAnswer: 18*k**2 - 145662282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 10*w - 8. Let x be (9\/3)\/3*-7. Let d be n(x). What is the greatest common divisor of 104 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b**3 + 14*b**3 + 8*b**3.\nAnswer: 43*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/150)\/((-2)\/(12\/17))*-2.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*g - 391 + 342 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -2839429 and -2839430 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*z - 2356, -5*z = 4*y - z - 1872. Suppose -5*n + y = v - 3493, 0 = 2*v - 6. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from cmtt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000001011101 + 1000010?\nAnswer: -101000000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 444 + -438.97. Let r = k - -0.57. Let x = r + -6. Which is the nearest to 0? (a) 3 (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -9*a**2 - 5*a - 7. Determine j(-3).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -35. Suppose 2*h - 2 = -b. Is h smaller than -2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2707 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 + -0.02. Let s = 3354 - 3353.7. What is the second smallest value in k, s, -3, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 0*c + c)*(-c + 3*c + 0*c + (-2*c + 2 - 2)*(-1 - 3 + 3) - 126*c - c + 222*c) + 5*c**2 + c**2 - 4*c**2 to x*c + l*c**2 + r and give l.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.05607 and -0.0032.\nAnswer: 0.05287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 3*x - h, 6 = -x + 3*h. Factor 13*w**3 - 12*w**x - 3*w + 4*w - 2*w**2.\nAnswer: w*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.06 and -1\/6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*u - 16*u - 18*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v + 5. Suppose -2*s + 5*p + 95 = 0, -s + 52 = -0*s - 4*p. Let n be (2*(-2)\/16)\/((-5)\/s). Let o(y) = -2*y - 2. Calculate n*h(t) + 5*o(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9))**(2\/53)\/(l**(-1\/4)*l\/l**3) assuming l is positive.\nAnswer: l**(4309\/1908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.287 + -9.713. Which is the closest to 1? (a) -6\/5 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000082 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31 + 412*r**4 - 2137*r**4 + 204 - r - 6 wrt r.\nAnswer: -20700*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*q**2 - 613*q**2 + 155*q**2 + 155*q**2 + 154*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + 10*b + 6. Let n be q(-6). Let f = 800284 - 799834. Calculate the highest common divisor of f and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653312 is divided by 588?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2125725, 4251436, 6377147, 8502858?\n\"Answer: 2125711*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 + 2*i - 1. Suppose 0 = m - 6*m - 20, 0 = 2*g - 5*m - 22. What is v(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**4\/3 + 14072*b**3\/3 - 24752648*b**2 + 2243*b - 1. Solve z(p) = 0 for p.\nAnswer: 3518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 + 78.7. Put -1, f, -3, -1\/2 in descending order.\nAnswer: f, -1\/2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2021?\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 92258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*f + 591 = -254 - 604 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -482.481703 to the nearest integer.\nAnswer: -482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, f: 1}. Give prob of picking 2 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2\/11 (c) -168 (d) 0.1 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5\/3*r**4 - 5\/3*r**3 - 4*r + 2\/3*r**5 + 0 + 20\/3*r**2 = 0?\nAnswer: -2, 0, 1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485213 to the power of 1\/2, to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 1 = -a, 3 = -w + a. Is w\/18 - 562\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 799 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.71 (b) -2\/15 (c) -18 (d) -3\/4 (e) -5 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142 - 144 + 285 + 3122*d)*(0 - 1 + 2)*(5*d + 2*d - d).\nAnswer: 18732*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00437854808 to 6 dps.\nAnswer: -0.004379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0*i**4 + 0 - 2\/15*i**5 + 2*i + 0*i**3 - 22*i**2. Let x(a) = 2*a**2. Determine y(x(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.32 (b) 5 (c) -5 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -81 and -6?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287173 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9362, -5288, -1214?\n\"Answer: 4074*r - 13436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -845\/276 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -g + 3*p, 0 = 7*g - p + 7 - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -270\/1388191?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*r**4\/3 + 1486*r**3\/3 + 994*r**2 + 1724*r\/3 + 16\/3 = 0 for r.\nAnswer: -4, -2, -1, -1\/106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -8849 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*v**4\/3 - 346763542*v**3\/3 - 102377784*v**2 + 79260232*v\/3 + 39630112\/3 = 0. Calculate v.\nAnswer: -4953764, -1, -2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 45981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6333495 and 12310?\nAnswer: 12666990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 22995752.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -a3707 (base 12) to base 9\nAnswer: -354847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3671, 7123, 10569, 14009, 17443, 20871?\nAnswer: 24293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*r - 393*r - 12463 = -2887 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -0.2, 45, 0, -6\/7, 1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 13919?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 127 = 5*h, -4*h + 86 + 2 = 2*v. What is the remainder when v is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**3 + 34 + 36 - 4*o**3)*(-4*o + o + o) as x*o + v*o**4 + n*o**3 + w + f*o**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 2 - 3)*(w + 2 - 2) + 0*w + 3*w - 5*w)*(3750*w - 7504*w + 526*w**2 + 3758*w) as b*w + j*w**2 + x + z*w**3 and give z.\nAnswer: -1578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 675 divided by 25.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 412902096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34973, 35474, 36319, 37514, 39065, 40978?\nAnswer: 43259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -3, 491 in ascending order.\nAnswer: -3, 3\/8, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*i + 145, 8*i - 3*i - 173 = -4*o. Suppose 2*g - 4*v + i - 3 = 0, 2*v = -g - 33. Let b = 25 + g. Solve b*l - 3*l = 4*h + 6, 5*l - 2*h = 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -26, -10, 3, -1 in increasing order.\nAnswer: -26, -10, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*(sqrt(144) + -2*sqrt(144)))\/(sqrt(12)\/((sqrt(6) - (sqrt(6) + sqrt(96)))*-6)))**2.\nAnswer: 3359232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -555. Let o = i + -1379\/3. Calculate the common denominator of o and 71\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1778 (base 16) to base 13.\nAnswer: -2972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x = 17*x, 5*y - 2 - 18 = -3*x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.085*-146\nAnswer: -12.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17387419 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, y: 1, q: 2, j: 5, n: 1}. Give prob of sequence nnyh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55498 - -1775757\/32. Let g = p - -247\/96. Find the common denominator of 23\/56 and g.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/((-17)\/((-85)\/(-20))). Let n be (-7 + 1)*4\/(-8). Put n, 0, b in ascending order.\nAnswer: b, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -55 + 2 + 16 + 73.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 14*h**2 + 23*h + 14. Let y be k(12). Which is the nearest to y? (a) 1\/4 (b) 2\/7 (c) -9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-54*t + 50 - 50).\nAnswer: -108*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fadefddfdfffafff. What is prob of sequence ed?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + 100. Suppose 2*u + v = -520. What is u rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 526 divide 55345720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) - (sqrt(104) + 1*sqrt(104))*-5) + sqrt(104))*-3)\/(-1*sqrt(968)*-2 - sqrt(968))*1.\nAnswer: -39*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/13 + 8*d\/13 + 42\/13.\nAnswer: -2*(d - 7)*(d + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225386013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 4. Let t be (-60)\/y*(-2)\/(-18). Which is the nearest to -1? (a) -3 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/(191\/9932)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 6*q - 2. Let j be v(6). Let x = -2 - j. Does x = -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038998108 to the power of 1\/2, to the nearest integer?\nAnswer: 32233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 6:44 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 808 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 531 + -529. Let q(a) = 2*a**3 - 4*a**2 + 4*a - 4. Let i be q(o). What is the greatest common divisor of i and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 15 = -3*x, -4*x = -2*h - 0 + 6. Let b(j) = -j**2 + 1. Let u(y) = y**2 - y - 4. Let s(w) = -5*b(w) - 2*u(w). List the prime factors of s(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4122 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 35*w. Let j(c) = 3*c + 6. Let m(d) = -3*d - 8. Let q(a) = -4*j(a) - 3*m(a). Let i(u) = u. Let t(p) = -5*i(p) - q(p). What is t(h(l))?\nAnswer: -70*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2175340493 rounded to three dps?\nAnswer: 0.218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/14 - (1768\/77 + (-3982)\/(-21901)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*r - 48 = 0, -3*r = 2*r + 15. Let a(b) = -8*b**3 + 6*b**2 + 6*b + 4. Let f(s) = 15*s**3 - 11*s**2 - 11*s - 7. Calculate q*a(m) + 6*f(m).\nAnswer: 2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 26*r - 34*r. Which is the smallest value? (a) r (b) -0.5 (c) 0.4 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - f + 629 = -4*f, -5*c + 795 = -2*f. Let b be 598\/c + (-4)\/(-14). Let h(k) = b*k - k - 248 + 243 - 4*k. Determine h(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a + 1. Suppose -2*s + 17 = l + s, s + 5 = 5*l. What is the remainder when f(l) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 11661*i**2 + 12 - 11658*i**2 - 9.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 256*-0.3\nAnswer: -76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/2 - 1283973*b**2 - 824294616336*b - 1648584096784 = 0. What is b?\nAnswer: -1283972, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93271*c**5 - c**3 - 39*c**2 - 2*c - 36.\nAnswer: -5596260*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-1*sqrt(1600) - sqrt(1600) - sqrt(1600)) - sqrt(1600))*4)\/((sqrt(288) - -1*(sqrt(288) + sqrt(288) + sqrt(288)*1))*6).\nAnswer: 55*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832441989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-42))\/((-39)\/(-52)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - 2*w + w**5 + 0*w**5 + 0*w**5 - w**5 + (-5*w**3 + w**3 + 2*w**3)*(-1 + w**2 + 1) - 1 + 1 - w**5 - 35*w**5 + 645*w - 645*w.\nAnswer: -38*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-217 + 205)\/((10\/(-35))\/1).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 36293285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -19. Let u = 22.384 + -3.314. Let y = u - k. What is the third biggest value in y, 0.5, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 9*i + 8. Let m be -20 + (2 + -3 - -5). Let j = m - -45. Calculate the remainder when j is divided by u(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -3 (b) 1\/3 (c) -0.24 (d) 4 (e) -12340\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4472 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umffmumm. Give prob of picking 1 f, 1 u, and 1 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.142 + -0.042. Let k = 421.7 + -422. What is the closest to 6 in i, k, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 20.8. Let q = 128\/165 + -6\/55. Let g = 0.41 - 0.01. Which is the second smallest value? (a) q (b) 2\/9 (c) g (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2641*l - 96096 = 457*l for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49571, -198540, -446847, -794486, -1241451, -1787736?\nAnswer: -2433335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 91.90439 millilitres?\nAnswer: 0.09190439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g - 3. Let r be b(-5). Let y = r + -3. Suppose 4*c = 3*c + y. Solve -4*i + 3*i = c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 7*u - 2. Let a be z(9). Let y = a + -10. What is the least common multiple of y and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - d)*(-888 + 427 - 757)*(2*d - 2 + 2) to a*d + n + u*d**2 and give u.\nAnswer: 2436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9667744*s**2 - 9667744*s**2 + 15*s**3 + 14*s**3.\nAnswer: 29*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -92*z**2 + 33*z + 94. Let u(n) = 188*n**2 - 67*n - 189. Let h(v) = -5*c(v) - 2*u(v). What is the tens digit of h(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*o + 5*h + 24, -3*h = -5*o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + o**2 + 1. Let t(r) = r**3 + 3*r**2 + 2. Determine t(g) - 3*y(g).\nAnswer: -2*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1199*h + 1109*h - 342 - 121 - 797*h + 459*h wrt h?\nAnswer: 1970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 3*z**2 - 1. Let x be -2 + 0 - (-36)\/9. Let s be f(x). Suppose -j = -3 - 1, -s*v = 5*j - 32. Solve b + v = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v + 1. Let o(s) = 1. Suppose -r + d + 316 = 0, 8 + 0 = 2*d. Let f = -321 + r. Calculate f*n(w) + 5*o(w).\nAnswer: -3*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**8\/3360 + z**6\/720 + 164*z**3\/3 - 25*z - 6. Let s(u) be the second derivative of t(u). Let s(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**3 - g**2 + 1. Let f be v(1). Solve 5*m = f*z - z + 6, 5*z - 5*m = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -35. Solve 6 = -c*v + 31 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -2\/7, 2\/7 in decreasing order.\nAnswer: 4, 2\/7, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -78?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15542 + 16962. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.5929 rounded to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*y. Suppose y = -4*k - 0*k + 280. Let q = k + -41. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 - 526*d + 1042. Calculate u(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -13377*v**2 - 668851*v - 60. What is l(-50)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 120 = 2*k, 3*j + 2*j + 3*k = 152. What is the remainder when -2 + 65 + 2\/(2*3\/(-6)) is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*i**2 - 166*i**2 - 13*i**3.\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 542*j**2 + 104*j - 666. Is 118 a factor of n(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1076 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 118592\/2185 and 53 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/5300624 and 23\/149742628.\nAnswer: 598970512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/706 and -34\/20399.\nAnswer: 14401694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (0 - (-4 + 2)) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100134 - 30140380\/301. Calculate the common denominator of h and -5\/14.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 0) + 32 + -21 + 36 + -17?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*r - 18 - 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**3 - 37*y**2 + 22*y - 1. Is p(10) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 36. Let c be (k\/8)\/(2\/(-16)). Solve 2*v + y = 4*v - 7, 2*y = c*v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n + 53. Let q be j(-7). Let i = q + 10. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + s = -37, -3*s = 3*x - s - 14. Let t(b) = -2*b + 5. Let c(m) = 3*m - 8. Let a(v) = x*t(v) + 5*c(v). Let n(i) = 9*i**2. What is n(a(q))?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*j + 311*j - 19*j**3 - 729*j + 208*j.\nAnswer: -19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: a852 (base 11) to base 9\nAnswer: 21587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53165*b + 2*b**2 - 53165*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + (-18 - -16) + 21.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17018903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55679607?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r**3 + 58*r**2 + 4*r - 9. Determine u(11).\nAnswer: -933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 76 = -6*n. Let t = n + -8. Suppose 3*g + 6 = 0, 4*g + 4 = -3*m + 26. Solve m = -2*a, -5*u + t = -a - 0*a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79\/156 - -7\/12. Let b(s) = -s**2 - s. Let n be b(0). Which is bigger: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-11 - -7) + 1 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(136) - (sqrt(136) + -3*sqrt(136) + sqrt(136))) - sqrt(136)) + sqrt(136) - sqrt(136)*-1*-2)\/((-1*-2*sqrt(64))\/(sqrt(8) + sqrt(128)*2)).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 1, l: 5, x: 1, w: 2}. What is prob of sequence bf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*t = -0*k - 1, -2*k - 3*t = 47. Let q be (k\/(-48))\/((-1)\/(-6)). What are the prime factors of -1*q - (-10 + -20)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 778, 777, 776, 775?\n\"Answer: -o + 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.728\nAnswer: 0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w + w - 2*w - 6. Let t be y(9). Solve 8 + 7 = t*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 1.4 (c) 0.2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-7) + 20\/14. Let g be (((-20)\/6 + 3)*1)\/t. Which is greater: 25 or g?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/16*(-12)\/(-1). Suppose -3*q = -3*u - 3, -3*q - r*u - 7 = -28. Suppose 0 = -l - 4*h - q, l - h - 6 = 0. Solve i = 5*i - g - 2, -l*g = -i - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2083, -11144, -26231, -47344, -74483?\nAnswer: -107648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*i + 7 = 0, -5 - 19 = -4*j - 3*i. Sort -33, -4, 4, j in descending order.\nAnswer: 4, j, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 44. Let h(x) = x - 47. What is -6*h(y) - 4*u(y)?\nAnswer: -2*y + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*l = -116*l - 56 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 - 140154?\nAnswer: -140224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/4 + 157*p**2\/4 + 569*p\/2 + 410 = 0. Calculate p.\nAnswer: -5, -2, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - sqrt(130)*2 - sqrt(130))*-5 + sqrt(130))*-1)\/((4*(sqrt(60) - sqrt(60)*2) + sqrt(60))\/sqrt(6)).\nAnswer: 11*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 9:16 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214372?\nAnswer: 2, 53593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -2*v - 2, -11*p + 35 = -6*p - 5*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883089 is divided by 220771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66.12765 and -8?\nAnswer: -529.0212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/25)\/(366\/(-30))?\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4308*a**3 + 2*a**2 - 3*a**2 - 488*a**4 + 4310*a**3 to i + c*a**2 + d*a**4 + k*a**3 + s*a and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, 2, 3, -21, 6 in increasing order.\nAnswer: -21, -1, 2, 3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2916841.6 rounded to the nearest ten thousand?\nAnswer: 2920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 1\/6*t**4 - 1\/12*t**5 + 2*t**2 + 0 - t**3 + 0*t + 1\/120*t**6. What is the tens digit of m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*125\/(-275).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**6 + 3371*g**5 - 749*g**2.\nAnswer: -120*g**3 + 202260*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9785 is divided by 72.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192 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: Let i = 203.251 + -203. Let z = -4429694.7490107 - -4429695. Let p = i - z. What is p rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*t - 2*j - 6, 0 = -4*t - 4*j + 24. Let g = 14.4 - 14. Which is the biggest value? (a) t (b) g (c) 0.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1512589\/1680 - -14421\/16. What is the common denominator of a and 1\/40?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxgxgtxxeexxeesxxxx. Give prob of picking 1 g and 2 x.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (210*l - 271*l - 2 + 2)*(-3 - 1 + 2).\nAnswer: 122*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}